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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : DAT406^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n002.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 08:45:40 AM UTC 2026

% Result   : Theorem 1.80s 1.77s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT406^1 : TPTP v9.2.1. Released v9.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n002.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Feb 24 06:18:18 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.21/0.46  ---- Original DTF file ---
% 0.21/0.46  thf(spec,logic,$$dhol).
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  % File     : DAT406^1 : TPTP v9.2.1. Released v9.2.0.
% 0.21/0.46  % Domain   : Data Structures
% 0.21/0.46  % Problem  : List reversal involution polymorphic, step 2
% 0.21/0.46  % Version  : Especial.
% 0.21/0.46  % English  : List reversal involution for polymorphic fixed-length lists. The
% 0.21/0.46  %            proof is split into smaller steps. To simplify proof search, the
% 0.21/0.46  %            axioms in each problem file have been preselected.
% 0.21/0.46  
% 0.21/0.46  % Refs     : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.21/0.46  %          : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.21/0.46  %          : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.21/0.46  % Source   : [Rot25]
% 0.21/0.46  % Names    : ListReversalInvolution/list-rev-invol-step3.p [Rot25]
% 0.21/0.46  
% 0.21/0.46  % Status   : Theorem
% 0.21/0.46  % Rating   : ? v9.2.0
% 0.21/0.46  % Syntax   : Number of formulae    :   18 (   6 unt;   9 typ;   0 def)
% 0.21/0.46  %            Number of atoms       :   10 (  10 equ;   0 cnn)
% 0.21/0.46  %            Maximal formula atoms :    2 (   1 avg)
% 0.21/0.46  %            Number of connectives :   85 (   3   ~;   0   |;   0   &;  77   @)
% 0.21/0.46  %                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
% 0.21/0.46  %            Maximal formula depth :    8 (   4 avg)
% 0.21/0.46  %            Number of types       :    2 (   1 usr)
% 0.21/0.46  %            Number of type decls  :    9 (   4 !>P;   3 !>D)
% 0.21/0.46  %            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
% 0.21/0.46  %            Number of symbols     :    9 (   8 usr;   1 con; 0-5 aty)
% 0.21/0.46  %            Number of variables   :   24 (   0   ^;  16   !;   0   ?;  24   :)
% 0.21/0.46  %                                         (   8  !>;   0  ?*;   0  @-;   0  @+)
% 0.21/0.46  % SPC      : DH1_THM_EQU_NAR
% 0.21/0.46  
% 0.21/0.46  % Comments :
% 0.21/0.46  %------------------------------------------------------------------------------
% 0.21/0.46  thf(nat_type,type,
% 0.21/0.46      nat: $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(zero_type,type,
% 0.21/0.46      zero: nat ).
% 0.21/0.46  
% 0.21/0.46  thf(suc_type,type,
% 0.21/0.46      suc: nat > nat ).
% 0.21/0.46  
% 0.21/0.46  thf(plus_type,type,
% 0.21/0.46      plus: nat > nat > nat ).
% 0.21/0.46  
% 0.21/0.46  thf(list_type,type,
% 0.21/0.46      list: $tType > nat > $tType ).
% 0.21/0.46  
% 0.21/0.46  thf(nil_type,type,
% 0.21/0.46      nil: 
% 0.21/0.46        !>[A: $tType] : ( list @ A @ zero ) ).
% 0.21/0.47  
% 0.21/0.47  thf(cons_type,type,
% 0.21/0.47      cons: 
% 0.21/0.47        !>[A: $tType,N: nat] : ( A > ( list @ A @ N ) > ( list @ A @ ( suc @ N ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(app_type,type,
% 0.21/0.47      app: 
% 0.21/0.47        !>[A: $tType,N: nat,M: nat] : ( ( list @ A @ N ) > ( list @ A @ M ) > ( list @ A @ ( plus @ N @ M ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(rev_type,type,
% 0.21/0.47      rev: 
% 0.21/0.47        !>[A: $tType,N: nat] : ( ( list @ A @ N ) > ( list @ A @ N ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(peano1,axiom,
% 0.21/0.47      ! [N: nat] :
% 0.21/0.47        ( ( suc @ N )
% 0.21/0.47       != zero ) ).
% 0.21/0.47  
% 0.21/0.47  thf(peano2,axiom,
% 0.21/0.47      ! [N: nat,M: nat] :
% 0.21/0.47        ( ( N != M )
% 0.21/0.47       => ( ( suc @ N )
% 0.21/0.47         != ( suc @ M ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(peano3,axiom,
% 0.21/0.47      ! [P: nat > $o] :
% 0.21/0.47        ( ( P @ zero )
% 0.21/0.47       => ( ! [M: nat] :
% 0.21/0.47              ( ( P @ M )
% 0.21/0.47             => ( P @ ( suc @ M ) ) )
% 0.21/0.47         => ! [N: nat] : ( P @ N ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(ax1,axiom,
% 0.21/0.47      ! [N: nat] :
% 0.21/0.47        ( ( plus @ zero @ N )
% 0.21/0.47        = N ) ).
% 0.21/0.47  
% 0.21/0.47  thf(ax2,axiom,
% 0.21/0.47      ! [N: nat,M: nat] :
% 0.21/0.47        ( ( plus @ ( suc @ N ) @ M )
% 0.21/0.47        = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(ax5,axiom,
% 0.21/0.47      ! [A: $tType] :
% 0.21/0.47        ( ( rev @ A @ zero @ ( nil @ A ) )
% 0.21/0.47        = ( nil @ A ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(plus_com,axiom,
% 0.21/0.47      ! [N: nat,M: nat] :
% 0.21/0.47        ( ( plus @ N @ M )
% 0.21/0.47        = ( plus @ M @ N ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(plus1r,axiom,
% 0.21/0.47      ! [N: nat] :
% 0.21/0.47        ( ( suc @ N )
% 0.21/0.47        = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  thf(list_rev_invol_step3,conjecture,
% 0.21/0.47      ! [A: $tType,N: nat,L: list @ A @ N] :
% 0.21/0.47        ( ( ( rev @ A @ N @ ( rev @ A @ N @ L ) )
% 0.21/0.47          = ( app @ A @ zero @ N @ ( rev @ A @ zero @ ( nil @ A ) ) @ L ) )
% 0.21/0.47       => ( ( rev @ A @ N @ ( rev @ A @ N @ L ) )
% 0.21/0.47          = ( app @ A @ zero @ N @ ( nil @ A ) @ L ) ) ) ).
% 0.21/0.47  
% 0.21/0.47  %------------------------------------------------------------------------------
% 0.21/0.47  ------------------------
% 1.73/1.32  ---- Embedded in THF ---
% 1.73/1.32  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.73/1.32  %%% Generated on Tue Feb 24 06:18:19 EST 2026
% 1.73/1.32  %%% using '$$dhol' embedding, version 1.3.0.
% 1.73/1.32  %%% Logic specification used:
% 1.73/1.32  %%% thf(spec, logic, $$dhol).
% 1.73/1.32  
% 1.73/1.32  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2DTF21189.p
% 1.73/1.32  thf(is_per_type, type, isPer: (!> [A:$tType]: (((A > (A > $o)) > $o)))).
% 1.73/1.32  thf(is_per, definition, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) <=> ((! [X:A,Y:A]: ((((AStar @ X) @ Y) => ((AStar @ Y) @ X)))) & (! [X:A,Y:A,Z:A]: ((((AStar @ X) @ Y) => (((AStar @ Y) @ Z) => ((AStar @ X) @ Z)))))))))).
% 1.73/1.32  thf(nat_type, type, nat: $tType).
% 1.73/1.32  thf(natStar, type, 'natStar': (nat > (nat > $o))).
% 1.73/1.32  thf(natStar_is_eq, axiom, (! [X:nat,Y:nat]: (((('natStar' @ X) @ Y) <=> (X = Y))))).
% 1.73/1.32  thf(zero_type, type, zero: nat).
% 1.73/1.32  thf(suc_type, type, suc: (nat > nat)).
% 1.73/1.32  thf(plus_type, type, plus: (nat > (nat > nat))).
% 1.73/1.32  thf(list_type, type, list: ($tType > $tType)).
% 1.73/1.32  thf(listStar, type, 'listStar': (!> [A:$tType]: (((A > (A > $o)) > (nat > ((list @ A) > ((list @ A) > $o))))))).
% 1.73/1.32  thf('\'listStar\'_is_per', axiom, (! [B:$tType,BStar:(B > (B > $o))]: ((((isPer @ B) @ BStar) => (! [C:nat]: (((isPer @ (list @ B)) @ (((listStar @ B) @ BStar) @ C)))))))).
% 1.73/1.32  thf(nil_type, type, nil: (!> [A:$tType]: ((list @ A)))).
% 1.73/1.32  thf(nil_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (((((listStar @ A) @ AStar) @ zero) @ (nil @ A)) @ (nil @ A)))))).
% 1.73/1.32  thf(cons_type, type, cons: (!> [A:$tType]: ((nat > (A > ((list @ A) > (list @ A))))))).
% 1.73/1.32  thf(cons_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:A,D_prime:A]: (((D = D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ (suc @ N)) @ ((((cons @ A) @ N) @ D) @ D0)) @ ((((cons @ A) @ N) @ D_prime) @ D0_prime)))))))))))))).
% 1.73/1.32  thf(app_type, type, app: (!> [A:$tType]: ((nat > (nat > ((list @ A) > ((list @ A) > (list @ A)))))))).
% 1.73/1.32  thf(app_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [M:nat]: ((! [D:(list @ A),D_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D) @ D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ M) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ ((plus @ N) @ M)) @ (((((app @ A) @ N) @ M) @ D) @ D0)) @ (((((app @ A) @ N) @ M) @ D_prime) @ D0_prime)))))))))))))))).
% 1.73/1.32  thf(rev_type, type, rev: (!> [A:$tType]: ((nat > ((list @ A) > (list @ A)))))).
% 1.73/1.32  thf(rev_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:(list @ A),D_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D) @ D_prime) => (((((listStar @ A) @ AStar) @ N) @ (((rev @ A) @ N) @ D)) @ (((rev @ A) @ N) @ D_prime))))))))))).
% 1.73/1.32  thf(peano1, axiom, (! [N:nat]: (((suc @ N) != zero)))).
% 1.73/1.32  thf(peano2, axiom, (! [N:nat]: ((! [M:nat]: (((N != M) => ((suc @ N) != (suc @ M)))))))).
% 1.73/1.32  thf(peano3, axiom, (! [P:(nat > $o)]: (((P @ zero) => ((! [M:nat]: (((P @ M) => (P @ (suc @ M))))) => (! [N:nat]: ((P @ N)))))))).
% 1.73/1.32  thf(ax1, axiom, (! [N:nat]: ((((plus @ zero) @ N) = N)))).
% 1.73/1.32  thf(ax2, axiom, (! [N:nat]: ((! [M:nat]: ((((plus @ (suc @ N)) @ M) = (suc @ ((plus @ N) @ M)))))))).
% 1.73/1.32  thf(ax5, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (((((listStar @ A) @ AStar) @ zero) @ (((rev @ A) @ zero) @ (nil @ A))) @ (nil @ A)))))).
% 1.73/1.32  thf(plus_com, axiom, (! [N:nat]: ((! [M:nat]: ((((plus @ N) @ M) = ((plus @ M) @ N))))))).
% 1.73/1.32  thf(plus1r, axiom, (! [N:nat]: (((suc @ N) = ((plus @ N) @ (suc @ zero)))))).
% 1.73/1.32  thf(list_rev_invol_step3, conjecture, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [L:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ L) @ L) => ((((((listStar @ A) @ AStar) @ N) @ (((rev @ A) @ N) @ (((rev @ A) @ N) @ L))) @ (((((app @ A) @ zero) @ N) @ (((rev @ A) @ zero) @ (nil @ A))) @ L)) => (((((listStar @ A) @ AStar) @ N) @ (((rev @ A) @ N) @ (((rev @ A) @ N) @ L))) @ (((((app @ A) @ zero) @ N) @ (nil @ A)) @ L)))))))))))).
% 1.73/1.32  % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2DTF21189.p
% 1.73/1.32  ------------------------
% 1.73/1.34  ---- Cleaned THF ---
% 1.73/1.34  thf(is_per_type,type,
% 1.73/1.34      isPer: 
% 1.73/1.34        !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.73/1.34  
% 1.73/1.34  thf(is_per,definition,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34      <=> ( ! [X: A,Y: A] :
% 1.73/1.34              ( ( AStar @ X @ Y )
% 1.73/1.34             => ( AStar @ Y @ X ) )
% 1.73/1.34          & ! [X: A,Y: A,Z: A] :
% 1.73/1.34              ( ( AStar @ X @ Y )
% 1.73/1.34             => ( ( AStar @ Y @ Z )
% 1.73/1.34               => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(nat_type,type,
% 1.73/1.34      nat: $tType ).
% 1.73/1.34  
% 1.73/1.34  thf(natStar,type,
% 1.73/1.34      natStar: nat > nat > $o ).
% 1.73/1.34  
% 1.73/1.34  thf(natStar_is_eq,axiom,
% 1.73/1.34      ! [X: nat,Y: nat] :
% 1.73/1.34        ( ( natStar @ X @ Y )
% 1.73/1.34      <=> ( X = Y ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(zero_type,type,
% 1.73/1.34      zero: nat ).
% 1.73/1.34  
% 1.73/1.34  thf(suc_type,type,
% 1.73/1.34      suc: nat > nat ).
% 1.73/1.34  
% 1.73/1.34  thf(plus_type,type,
% 1.73/1.34      plus: nat > nat > nat ).
% 1.73/1.34  
% 1.73/1.34  thf(list_type,type,
% 1.73/1.34      list: $tType > $tType ).
% 1.73/1.34  
% 1.73/1.34  thf(listStar,type,
% 1.73/1.34      listStar: 
% 1.73/1.34        !>[A: $tType] : ( ( A > A > $o ) > nat > ( list @ A ) > ( list @ A ) > $o ) ).
% 1.73/1.34  
% 1.73/1.34  thf('\'listStar\'_is_per',axiom,
% 1.73/1.34      ! [B: $tType,BStar: B > B > $o] :
% 1.73/1.34        ( ( isPer @ B @ BStar )
% 1.73/1.34       => ! [C: nat] : ( isPer @ ( list @ B ) @ ( listStar @ B @ BStar @ C ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(nil_type,type,
% 1.73/1.34      nil: 
% 1.73/1.34        !>[A: $tType] : ( list @ A ) ).
% 1.73/1.34  
% 1.73/1.34  thf(nil_tp_ax,axiom,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ( listStar @ A @ AStar @ zero @ ( nil @ A ) @ ( nil @ A ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(cons_type,type,
% 1.73/1.34      cons: 
% 1.73/1.34        !>[A: $tType] : ( nat > A > ( list @ A ) > ( list @ A ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(cons_tp_ax,axiom,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ! [N: nat,D: A,D_prime: A] :
% 1.73/1.34            ( ( D = D_prime )
% 1.73/1.34           => ! [D0: list @ A,D0_prime: list @ A] :
% 1.73/1.34                ( ( listStar @ A @ AStar @ N @ D0 @ D0_prime )
% 1.73/1.34               => ( listStar @ A @ AStar @ ( suc @ N ) @ ( cons @ A @ N @ D @ D0 ) @ ( cons @ A @ N @ D_prime @ D0_prime ) ) ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(app_type,type,
% 1.73/1.34      app: 
% 1.73/1.34        !>[A: $tType] : ( nat > nat > ( list @ A ) > ( list @ A ) > ( list @ A ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(app_tp_ax,axiom,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ! [N: nat,M: nat,D: list @ A,D_prime: list @ A] :
% 1.73/1.34            ( ( listStar @ A @ AStar @ N @ D @ D_prime )
% 1.73/1.34           => ! [D0: list @ A,D0_prime: list @ A] :
% 1.73/1.34                ( ( listStar @ A @ AStar @ M @ D0 @ D0_prime )
% 1.73/1.34               => ( listStar @ A @ AStar @ ( plus @ N @ M ) @ ( app @ A @ N @ M @ D @ D0 ) @ ( app @ A @ N @ M @ D_prime @ D0_prime ) ) ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(rev_type,type,
% 1.73/1.34      rev: 
% 1.73/1.34        !>[A: $tType] : ( nat > ( list @ A ) > ( list @ A ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(rev_tp_ax,axiom,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ! [N: nat,D: list @ A,D_prime: list @ A] :
% 1.73/1.34            ( ( listStar @ A @ AStar @ N @ D @ D_prime )
% 1.73/1.34           => ( listStar @ A @ AStar @ N @ ( rev @ A @ N @ D ) @ ( rev @ A @ N @ D_prime ) ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(peano1,axiom,
% 1.73/1.34      ! [N: nat] :
% 1.73/1.34        ( ( suc @ N )
% 1.73/1.34       != zero ) ).
% 1.73/1.34  
% 1.73/1.34  thf(peano2,axiom,
% 1.73/1.34      ! [N: nat,M: nat] :
% 1.73/1.34        ( ( N != M )
% 1.73/1.34       => ( ( suc @ N )
% 1.73/1.34         != ( suc @ M ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(peano3,axiom,
% 1.73/1.34      ! [P: nat > $o] :
% 1.73/1.34        ( ( P @ zero )
% 1.73/1.34       => ( ! [M: nat] :
% 1.73/1.34              ( ( P @ M )
% 1.73/1.34             => ( P @ ( suc @ M ) ) )
% 1.73/1.34         => ! [N: nat] : ( P @ N ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(ax1,axiom,
% 1.73/1.34      ! [N: nat] :
% 1.73/1.34        ( ( plus @ zero @ N )
% 1.73/1.34        = N ) ).
% 1.73/1.34  
% 1.73/1.34  thf(ax2,axiom,
% 1.73/1.34      ! [N: nat,M: nat] :
% 1.73/1.34        ( ( plus @ ( suc @ N ) @ M )
% 1.73/1.34        = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(ax5,axiom,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ( listStar @ A @ AStar @ zero @ ( rev @ A @ zero @ ( nil @ A ) ) @ ( nil @ A ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(plus_com,axiom,
% 1.73/1.34      ! [N: nat,M: nat] :
% 1.73/1.34        ( ( plus @ N @ M )
% 1.73/1.34        = ( plus @ M @ N ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(plus1r,axiom,
% 1.73/1.34      ! [N: nat] :
% 1.73/1.34        ( ( suc @ N )
% 1.73/1.34        = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.73/1.34  
% 1.73/1.34  thf(list_rev_invol_step3,conjecture,
% 1.73/1.34      ! [A: $tType,AStar: A > A > $o] :
% 1.73/1.34        ( ( isPer @ A @ AStar )
% 1.73/1.34       => ! [N: nat,L: list @ A] :
% 1.73/1.34            ( ( listStar @ A @ AStar @ N @ L @ L )
% 1.73/1.34           => ( ( listStar @ A @ AStar @ N @ ( rev @ A @ N @ ( rev @ A @ N @ L ) ) @ ( app @ A @ zero @ N @ ( rev @ A @ zero @ ( nil @ A ) ) @ L ) )
% 1.73/1.34             => ( listStar @ A @ AStar @ N @ ( rev @ A @ N @ ( rev @ A @ N @ L ) ) @ ( app @ A @ zero @ N @ ( nil @ A ) @ L ) ) ) ) ) ).
% 1.73/1.34  ------------------------
% 1.73/1.35  % (21516)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/183Mi)
% 1.73/1.36  % (21517)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_21189 for (2999ds/4Mi)
% 1.73/1.36  % (21518)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_21189 for (2999ds/27Mi)
% 1.73/1.36  % (21519)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/2Mi)
% 1.73/1.36  % (21520)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_21189 for (2999ds/2Mi)
% 1.73/1.36  % (21521)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_21189 for (2999ds/275Mi)
% 1.73/1.36  % (21522)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/18Mi)
% 1.73/1.36  % (21519)Instruction limit reached!
% 1.73/1.36  % (21519)------------------------------
% 1.73/1.36  % (21519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36  % (21519)Termination reason: Unknown
% 1.73/1.36  % (21519)Termination phase: shuffling
% 1.73/1.36  
% 1.73/1.36  % (21519)Memory used [KB]: 1023
% 1.73/1.36  % (21519)Time elapsed: 0.003 s
% 1.73/1.36  % (21519)Instructions burned: 2 (million)
% 1.73/1.36  % (21519)------------------------------
% 1.73/1.36  % (21519)------------------------------
% 1.73/1.36  % (21520)Instruction limit reached!
% 1.73/1.36  % (21520)------------------------------
% 1.73/1.36  % (21520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36  % (21520)Termination reason: Unknown
% 1.73/1.36  % (21520)Termination phase: shuffling
% 1.73/1.36  
% 1.73/1.36  % (21520)Memory used [KB]: 1023
% 1.73/1.36  % (21520)Time elapsed: 0.003 s
% 1.73/1.36  % (21520)Instructions burned: 2 (million)
% 1.73/1.36  % (21520)------------------------------
% 1.73/1.36  % (21520)------------------------------
% 1.73/1.36  % (21517)Instruction limit reached!
% 1.73/1.36  % (21517)------------------------------
% 1.73/1.36  % (21517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36  % (21517)Termination reason: Unknown
% 1.73/1.36  % (21517)Termination phase: shuffling
% 1.73/1.36  
% 1.73/1.36  % (21517)Memory used [KB]: 1023
% 1.73/1.36  % (21517)Time elapsed: 0.004 s
% 1.73/1.36  % (21517)Instructions burned: 4 (million)
% 1.73/1.36  % (21517)------------------------------
% 1.73/1.36  % (21517)------------------------------
% 1.73/1.37  % (21522)Instruction limit reached!
% 1.73/1.37  % (21522)------------------------------
% 1.73/1.37  % (21522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37  % (21522)Termination reason: Unknown
% 1.73/1.37  % (21522)Termination phase: Saturation
% 1.73/1.37  
% 1.73/1.37  % (21522)Memory used [KB]: 5628
% 1.73/1.37  % (21522)Time elapsed: 0.013 s
% 1.73/1.37  % (21522)Instructions burned: 18 (million)
% 1.73/1.37  % (21522)------------------------------
% 1.73/1.37  % (21522)------------------------------
% 1.73/1.38  % (21518)Instruction limit reached!
% 1.73/1.38  % (21518)------------------------------
% 1.73/1.38  % (21518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38  % (21518)Termination reason: Unknown
% 1.73/1.38  % (21518)Termination phase: Saturation
% 1.73/1.38  
% 1.73/1.38  % (21518)Memory used [KB]: 5756
% 1.73/1.38  % (21518)Time elapsed: 0.020 s
% 1.73/1.38  % (21518)Instructions burned: 27 (million)
% 1.73/1.38  % (21518)------------------------------
% 1.73/1.38  % (21518)------------------------------
% 1.73/1.38  % (21523)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/3Mi)
% 1.73/1.38  % (21524)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_21189 for (2999ds/37Mi)
% 1.73/1.38  % (21525)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_21189 for (2999ds/15Mi)
% 1.73/1.38  % Exception at run slice level
% 1.73/1.38  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.38  % (21523)Instruction limit reached!
% 1.73/1.38  % (21523)------------------------------
% 1.73/1.38  % (21523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38  % (21523)Termination reason: Unknown
% 1.73/1.38  % (21523)Termination phase: Property scanning
% 1.73/1.38  
% 1.73/1.38  % (21523)Memory used [KB]: 1023
% 1.73/1.38  % (21523)Time elapsed: 0.004 s
% 1.73/1.38  % (21523)Instructions burned: 4 (million)
% 1.73/1.38  % (21523)------------------------------
% 1.73/1.38  % (21523)------------------------------
% 1.73/1.39  % (21525)Instruction limit reached!
% 1.73/1.39  % (21525)------------------------------
% 1.73/1.39  % (21525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.39  % (21525)Termination reason: Unknown
% 1.73/1.39  % (21525)Termination phase: Saturation
% 1.73/1.39  
% 1.73/1.39  % (21525)Memory used [KB]: 5756
% 1.73/1.39  % (21525)Time elapsed: 0.011 s
% 1.73/1.39  % (21525)Instructions burned: 15 (million)
% 1.73/1.39  % (21525)------------------------------
% 1.73/1.39  % (21525)------------------------------
% 1.73/1.39  % (21526)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_21189 for (2999ds/3Mi)
% 1.73/1.39  % (21526)Instruction limit reached!
% 1.73/1.39  % (21526)------------------------------
% 1.73/1.39  % (21526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.39  % (21526)Termination reason: Unknown
% 1.73/1.39  % (21526)Termination phase: Property scanning
% 1.73/1.39  
% 1.73/1.39  % (21526)Memory used [KB]: 1023
% 1.73/1.39  % (21526)Time elapsed: 0.004 s
% 1.73/1.39  % (21526)Instructions burned: 4 (million)
% 1.73/1.39  % (21526)------------------------------
% 1.73/1.39  % (21526)------------------------------
% 1.73/1.39  % (21527)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_21189 for (2999ds/1041Mi)
% 1.73/1.40  % Exception at run slice level
% 1.73/1.40  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.40  % (21528)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/7Mi)
% 1.73/1.40  % (21529)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/16Mi)
% 1.80/1.40  % (21531)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_21189 for (2999ds/3Mi)
% 1.80/1.40  % (21528)Instruction limit reached!
% 1.80/1.40  % (21528)------------------------------
% 1.80/1.40  % (21528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.40  % (21528)Termination reason: Unknown
% 1.80/1.40  % (21528)Termination phase: Property scanning
% 1.80/1.40  
% 1.80/1.40  % (21528)Memory used [KB]: 1023
% 1.80/1.40  % (21528)Time elapsed: 0.006 s
% 1.80/1.40  % (21528)Instructions burned: 7 (million)
% 1.80/1.40  % (21528)------------------------------
% 1.80/1.40  % (21528)------------------------------
% 1.80/1.40  % (21531)Instruction limit reached!
% 1.80/1.40  % (21531)------------------------------
% 1.80/1.40  % (21531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.40  % (21531)Termination reason: Unknown
% 1.80/1.40  % (21531)Termination phase: Preprocessing 1
% 1.80/1.40  
% 1.80/1.40  % (21531)Memory used [KB]: 1023
% 1.80/1.40  % (21531)Time elapsed: 0.003 s
% 1.80/1.40  % (21531)Instructions burned: 4 (million)
% 1.80/1.40  % (21531)------------------------------
% 1.80/1.40  % (21531)------------------------------
% 1.80/1.40  % (21530)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_21189 for (2999ds/3Mi)
% 1.80/1.41  % (21530)Instruction limit reached!
% 1.80/1.41  % (21530)------------------------------
% 1.80/1.41  % (21530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.41  % (21530)Termination reason: Unknown
% 1.80/1.41  % (21530)Termination phase: SInE selection
% 1.80/1.41  
% 1.80/1.41  % (21530)Memory used [KB]: 1023
% 1.80/1.41  % (21530)Time elapsed: 0.004 s
% 1.80/1.41  % (21530)Instructions burned: 4 (million)
% 1.80/1.41  % (21530)------------------------------
% 1.80/1.41  % (21530)------------------------------
% 1.80/1.41  % (21529)Instruction limit reached!
% 1.80/1.41  % (21529)------------------------------
% 1.80/1.41  % (21529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.41  % (21529)Termination reason: Unknown
% 1.80/1.41  % (21529)Termination phase: Saturation
% 1.80/1.41  
% 1.80/1.41  % (21529)Memory used [KB]: 5756
% 1.80/1.41  % (21529)Time elapsed: 0.012 s
% 1.80/1.41  % (21529)Instructions burned: 17 (million)
% 1.80/1.41  % (21529)------------------------------
% 1.80/1.41  % (21529)------------------------------
% 1.80/1.41  % (21516)Instruction limit reached!
% 1.80/1.41  % (21516)------------------------------
% 1.80/1.41  % (21516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.41  % (21516)Termination reason: Unknown
% 1.80/1.41  % (21516)Termination phase: Saturation
% 1.80/1.41  
% 1.80/1.41  % (21516)Memory used [KB]: 6396
% 1.80/1.41  % (21516)Time elapsed: 0.059 s
% 1.80/1.41  % (21516)Instructions burned: 183 (million)
% 1.80/1.41  % (21516)------------------------------
% 1.80/1.41  % (21516)------------------------------
% 1.80/1.41  % (21532)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/7Mi)
% 1.80/1.41  % (21533)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/3Mi)
% 1.80/1.41  % Exception at run slice level
% 1.80/1.41  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.41  % (21532)Instruction limit reached!
% 1.80/1.41  % (21532)------------------------------
% 1.80/1.41  % (21532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.41  % (21532)Termination reason: Unknown
% 1.80/1.41  % (21532)Termination phase: Saturation
% 1.80/1.41  
% 1.80/1.41  % (21532)Memory used [KB]: 5500
% 1.80/1.41  % (21532)Time elapsed: 0.005 s
% 1.80/1.41  % (21532)Instructions burned: 9 (million)
% 1.80/1.41  % (21532)------------------------------
% 1.80/1.41  % (21532)------------------------------
% 1.80/1.42  % (21537)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/6Mi)
% 1.80/1.42  % (21534)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/4Mi)
% 1.80/1.42  % (21537)Instruction limit reached!
% 1.80/1.42  % (21537)------------------------------
% 1.80/1.42  % (21537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.42  % (21537)Termination reason: Unknown
% 1.80/1.42  % (21537)Termination phase: Property scanning
% 1.80/1.42  
% 1.80/1.42  % (21537)Memory used [KB]: 1023
% 1.80/1.42  % (21537)Time elapsed: 0.003 s
% 1.80/1.42  % (21537)Instructions burned: 7 (million)
% 1.80/1.42  % (21537)------------------------------
% 1.80/1.42  % (21537)------------------------------
% 1.80/1.42  % (21534)Instruction limit reached!
% 1.80/1.42  % (21534)------------------------------
% 1.80/1.42  % (21534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.42  % (21534)Termination reason: Unknown
% 1.80/1.42  % (21534)Termination phase: Preprocessing 2
% 1.80/1.42  
% 1.80/1.42  % (21534)Memory used [KB]: 1023
% 1.80/1.42  % (21534)Time elapsed: 0.004 s
% 1.80/1.42  % (21534)Instructions burned: 4 (million)
% 1.80/1.42  % (21534)------------------------------
% 1.80/1.42  % (21534)------------------------------
% 1.80/1.42  % (21538)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_21189 for (2999ds/902Mi)
% 1.80/1.42  % (21535)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/18Mi)
% 1.80/1.42  % (21539)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_21189 for (2999ds/21Mi)
% 1.80/1.42  % (21536)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/710Mi)
% 1.80/1.43  % (21540)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/5Mi)
% 1.80/1.43  % Exception at run slice level
% 1.80/1.43  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.43  % (21539)Instruction limit reached!
% 1.80/1.43  % (21539)------------------------------
% 1.80/1.43  % (21539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.43  % (21539)Termination reason: Unknown
% 1.80/1.43  % (21539)Termination phase: Saturation
% 1.80/1.43  
% 1.80/1.43  % (21539)Memory used [KB]: 5756
% 1.80/1.43  % (21539)Time elapsed: 0.010 s
% 1.80/1.43  % (21539)Instructions burned: 23 (million)
% 1.80/1.43  % (21539)------------------------------
% 1.80/1.43  % (21539)------------------------------
% 1.80/1.43  % (21535)Instruction limit reached!
% 1.80/1.43  % (21535)------------------------------
% 1.80/1.43  % (21535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.43  % (21535)Termination reason: Unknown
% 1.80/1.43  % (21535)Termination phase: Saturation
% 1.80/1.43  
% 1.80/1.43  % (21535)Memory used [KB]: 5628
% 1.80/1.43  % (21535)Time elapsed: 0.013 s
% 1.80/1.43  % (21535)Instructions burned: 18 (million)
% 1.80/1.43  % (21535)------------------------------
% 1.80/1.43  % (21535)------------------------------
% 1.80/1.44  % (21541)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_21189 for (2999ds/6Mi)
% 1.80/1.44  % Exception at run slice level
% 1.80/1.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.44  % (21542)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/377Mi)
% 1.80/1.44  % (21543)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_21189 for (2999ds/779Mi)
% 1.80/1.44  % Exception at run slice level
% 1.80/1.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.45  % (21521)Instruction limit reached!
% 1.80/1.45  % (21521)------------------------------
% 1.80/1.45  % (21521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.45  % (21521)Termination reason: Unknown
% 1.80/1.45  % (21521)Termination phase: Saturation
% 1.80/1.45  
% 1.80/1.45  % (21521)Memory used [KB]: 5884
% 1.80/1.45  % (21521)Time elapsed: 0.092 s
% 1.80/1.45  % (21521)Instructions burned: 277 (million)
% 1.80/1.45  % (21521)------------------------------
% 1.80/1.45  % (21521)------------------------------
% 1.80/1.45  % (21544)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_21189 for (2999ds/19Mi)
% 1.80/1.45  % (21546)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/17Mi)
% 1.80/1.45  % Exception at run slice level
% 1.80/1.45  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.45  % (21545)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/879Mi)
% 1.80/1.46  % (21547)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_21189 for (2999ds/3Mi)
% 1.80/1.46  % (21546)Instruction limit reached!
% 1.80/1.46  % (21546)------------------------------
% 1.80/1.46  % (21546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.46  % (21546)Termination reason: Unknown
% 1.80/1.46  % (21546)Termination phase: Saturation
% 1.80/1.46  
% 1.80/1.46  % (21546)Memory used [KB]: 5628
% 1.80/1.46  % (21546)Time elapsed: 0.008 s
% 1.80/1.46  % (21546)Instructions burned: 17 (million)
% 1.80/1.46  % (21546)------------------------------
% 1.80/1.46  % (21546)------------------------------
% 1.80/1.46  % (21547)Instruction limit reached!
% 1.80/1.46  % (21547)------------------------------
% 1.80/1.46  % (21547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.46  % (21547)Termination reason: Unknown
% 1.80/1.46  % (21547)Termination phase: Preprocessing 2
% 1.80/1.46  
% 1.80/1.46  % (21547)Memory used [KB]: 1023
% 1.80/1.46  % (21547)Time elapsed: 0.003 s
% 1.80/1.46  % (21547)Instructions burned: 4 (million)
% 1.80/1.46  % (21547)------------------------------
% 1.80/1.46  % (21547)------------------------------
% 1.80/1.47  % (21550)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_21189 for (2998ds/100Mi)
% 1.80/1.47  % (21548)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_21189 for (2998ds/30Mi)
% 1.80/1.48  % (21549)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_21189 for (2998ds/127Mi)
% 1.80/1.48  % (21548)Instruction limit reached!
% 1.80/1.48  % (21548)------------------------------
% 1.80/1.48  % (21548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.48  % (21548)Termination reason: Unknown
% 1.80/1.48  % (21548)Termination phase: Saturation
% 1.80/1.48  
% 1.80/1.48  % (21548)Memory used [KB]: 5756
% 1.80/1.48  % (21548)Time elapsed: 0.017 s
% 1.80/1.48  % (21548)Instructions burned: 30 (million)
% 1.80/1.48  % (21548)------------------------------
% 1.80/1.48  % (21548)------------------------------
% 1.80/1.49  % (21551)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_21189 for (2998ds/3Mi)
% 1.80/1.50  % (21551)Instruction limit reached!
% 1.80/1.50  % (21551)------------------------------
% 1.80/1.50  % (21551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (21551)Termination reason: Unknown
% 1.80/1.50  % (21551)Termination phase: shuffling
% 1.80/1.50  
% 1.80/1.50  % (21551)Memory used [KB]: 1023
% 1.80/1.50  % (21551)Time elapsed: 0.003 s
% 1.80/1.50  % (21551)Instructions burned: 4 (million)
% 1.80/1.50  % (21551)------------------------------
% 1.80/1.50  % (21551)------------------------------
% 1.80/1.50  % (21550)Instruction limit reached!
% 1.80/1.50  % (21550)------------------------------
% 1.80/1.50  % (21550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.50  % (21550)Termination reason: Unknown
% 1.80/1.50  % (21550)Termination phase: Saturation
% 1.80/1.50  
% 1.80/1.50  % (21550)Memory used [KB]: 6012
% 1.80/1.50  % (21550)Time elapsed: 0.035 s
% 1.80/1.50  % (21550)Instructions burned: 102 (million)
% 1.80/1.50  % (21550)------------------------------
% 1.80/1.50  % (21550)------------------------------
% 1.80/1.51  % (21552)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_21189 for (2998ds/20Mi)
% 1.80/1.51  % (21553)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_21189 for (2998ds/86Mi)
% 1.80/1.51  % (21552)Instruction limit reached!
% 1.80/1.51  % (21552)------------------------------
% 1.80/1.51  % (21552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.51  % (21552)Termination reason: Unknown
% 1.80/1.51  % (21552)Termination phase: Saturation
% 1.80/1.51  
% 1.80/1.51  % (21552)Memory used [KB]: 5628
% 1.80/1.51  % (21552)Time elapsed: 0.009 s
% 1.80/1.51  % (21552)Instructions burned: 21 (million)
% 1.80/1.51  % (21552)------------------------------
% 1.80/1.51  % (21552)------------------------------
% 1.80/1.52  % (21554)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_21189 for (2998ds/107Mi)
% 1.80/1.54  % (21553)Instruction limit reached!
% 1.80/1.54  % (21553)------------------------------
% 1.80/1.54  % (21553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (21553)Termination reason: Unknown
% 1.80/1.54  % (21553)Termination phase: Saturation
% 1.80/1.54  
% 1.80/1.54  % (21553)Memory used [KB]: 6268
% 1.80/1.54  % (21553)Time elapsed: 0.031 s
% 1.80/1.54  % (21553)Instructions burned: 88 (million)
% 1.80/1.54  % (21553)------------------------------
% 1.80/1.54  % (21553)------------------------------
% 1.80/1.54  % (21549)Instruction limit reached!
% 1.80/1.54  % (21549)------------------------------
% 1.80/1.54  % (21549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.54  % (21549)Termination reason: Unknown
% 1.80/1.54  % (21549)Termination phase: Saturation
% 1.80/1.54  
% 1.80/1.54  % (21549)Memory used [KB]: 6268
% 1.80/1.54  % (21549)Time elapsed: 0.068 s
% 1.80/1.54  % (21549)Instructions burned: 129 (million)
% 1.80/1.54  % (21549)------------------------------
% 1.80/1.54  % (21549)------------------------------
% 1.80/1.55  % (21555)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_21189 for (2997ds/39Mi)
% 1.80/1.55  % (21556)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_21189 for (2997ds/448Mi)
% 1.80/1.55  % Exception at run slice level
% 1.80/1.55  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.55  % Exception at run slice level
% 1.80/1.55  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.56  % (21542)Refutation not found, non-redundant clauses discarded% (21542)------------------------------
% 1.80/1.56  % (21542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56  % (21542)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.80/1.56  
% 1.80/1.56  % (21542)Memory used [KB]: 6140
% 1.80/1.56  % (21542)Time elapsed: 0.119 s
% 1.80/1.56  % (21542)Instructions burned: 370 (million)
% 1.80/1.56  % (21542)------------------------------
% 1.80/1.56  % (21542)------------------------------
% 1.80/1.56  % (21554)Instruction limit reached!
% 1.80/1.56  % (21554)------------------------------
% 1.80/1.56  % (21554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.56  % (21554)Termination reason: Unknown
% 1.80/1.56  % (21554)Termination phase: Saturation
% 1.80/1.56  
% 1.80/1.56  % (21554)Memory used [KB]: 5884
% 1.80/1.56  % (21554)Time elapsed: 0.039 s
% 1.80/1.56  % (21554)Instructions burned: 109 (million)
% 1.80/1.56  % (21554)------------------------------
% 1.80/1.56  % (21554)------------------------------
% 1.80/1.56  % (21557)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_21189 for (2997ds/46Mi)
% 1.80/1.56  % (21558)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_21189 for (2997ds/98Mi)
% 1.80/1.56  % Exception at run slice level
% 1.80/1.56  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.57  % (21559)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_21189 for (2997ds/507Mi)
% 1.80/1.57  % (21560)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_21189 for (2997ds/149Mi)
% 1.80/1.57  % (21561)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_21189 for (2997ds/39Mi)
% 1.80/1.58  % (21557)Instruction limit reached!
% 1.80/1.58  % (21557)------------------------------
% 1.80/1.58  % (21557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.58  % (21557)Termination reason: Unknown
% 1.80/1.58  % (21557)Termination phase: Saturation
% 1.80/1.58  
% 1.80/1.58  % (21557)Memory used [KB]: 5884
% 1.80/1.58  % (21557)Time elapsed: 0.018 s
% 1.80/1.58  % (21557)Instructions burned: 48 (million)
% 1.80/1.58  % (21557)------------------------------
% 1.80/1.58  % (21557)------------------------------
% 1.80/1.59  % (21561)Instruction limit reached!
% 1.80/1.59  % (21561)------------------------------
% 1.80/1.59  % (21561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.59  % (21561)Termination reason: Unknown
% 1.80/1.59  % (21561)Termination phase: Saturation
% 1.80/1.59  
% 1.80/1.59  % (21561)Memory used [KB]: 5756
% 1.80/1.59  % (21561)Time elapsed: 0.016 s
% 1.80/1.59  % (21561)Instructions burned: 41 (million)
% 1.80/1.59  % (21561)------------------------------
% 1.80/1.59  % (21561)------------------------------
% 1.80/1.59  % (21562)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_21189 for (2997ds/6Mi)
% 1.80/1.59  % Exception at run slice level
% 1.80/1.59  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.60  % (21563)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_21189 for (2997ds/1087Mi)
% 1.80/1.60  % (21564)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_21189 for (2997ds/47Mi)
% 1.80/1.62  % (21564)Instruction limit reached!
% 1.80/1.62  % (21564)------------------------------
% 1.80/1.62  % (21564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.62  % (21564)Termination reason: Unknown
% 1.80/1.62  % (21564)Termination phase: Saturation
% 1.80/1.62  
% 1.80/1.62  % (21564)Memory used [KB]: 5756
% 1.80/1.62  % (21564)Time elapsed: 0.018 s
% 1.80/1.62  % (21564)Instructions burned: 48 (million)
% 1.80/1.62  % (21564)------------------------------
% 1.80/1.62  % (21564)------------------------------
% 1.80/1.62  % (21560)Instruction limit reached!
% 1.80/1.62  % (21560)------------------------------
% 1.80/1.62  % (21560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.62  % (21560)Termination reason: Unknown
% 1.80/1.62  % (21560)Termination phase: Saturation
% 1.80/1.62  
% 1.80/1.62  % (21560)Memory used [KB]: 6140
% 1.80/1.62  % (21560)Time elapsed: 0.053 s
% 1.80/1.62  % (21560)Instructions burned: 149 (million)
% 1.80/1.62  % (21560)------------------------------
% 1.80/1.62  % (21560)------------------------------
% 1.80/1.63  % (21565)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_21189 for (2997ds/44Mi)
% 1.80/1.63  % Exception at run slice level
% 1.80/1.63  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.63  % (21566)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_21189 for (2997ds/432Mi)
% 1.80/1.63  % Exception at run slice level
% 1.80/1.63  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.64  % (21567)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_21189 for (2997ds/62Mi)
% 1.80/1.64  % Exception at run slice level
% 1.80/1.64  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.64  % (21568)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_21189 for (2997ds/31Mi)
% 1.80/1.65  % (21569)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_21189 for (2997ds/96Mi)
% 1.80/1.65  % (21568)Instruction limit reached!
% 1.80/1.65  % (21568)------------------------------
% 1.80/1.65  % (21568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.65  % (21568)Termination reason: Unknown
% 1.80/1.65  % (21568)Termination phase: Saturation
% 1.80/1.65  
% 1.80/1.65  % (21568)Memory used [KB]: 5756
% 1.80/1.65  % (21568)Time elapsed: 0.013 s
% 1.80/1.65  % (21568)Instructions burned: 33 (million)
% 1.80/1.65  % (21568)------------------------------
% 1.80/1.65  % (21568)------------------------------
% 1.80/1.66  % (21570)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_21189 for (2996ds/453Mi)
% 1.80/1.67  % Exception at run slice level
% 1.80/1.67  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.67  % (21536)Refutation not found, non-redundant clauses discarded% (21536)------------------------------
% 1.80/1.67  % (21536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.67  % (21536)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.80/1.67  
% 1.80/1.67  % (21536)Memory used [KB]: 7164
% 1.80/1.67  % (21536)Time elapsed: 0.244 s
% 1.80/1.67  % (21536)Instructions burned: 708 (million)
% 1.80/1.67  % (21536)------------------------------
% 1.80/1.67  % (21536)------------------------------
% 1.80/1.68  % (21571)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_21189 for (2996ds/71Mi)
% 1.80/1.68  % (21572)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/83Mi)
% 1.80/1.68  % (21569)Instruction limit reached!
% 1.80/1.68  % (21569)------------------------------
% 1.80/1.68  % (21569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.68  % (21569)Termination reason: Unknown
% 1.80/1.68  % (21569)Termination phase: Saturation
% 1.80/1.68  
% 1.80/1.68  % (21569)Memory used [KB]: 5884
% 1.80/1.68  % (21569)Time elapsed: 0.035 s
% 1.80/1.68  % (21569)Instructions burned: 96 (million)
% 1.80/1.68  % (21569)------------------------------
% 1.80/1.68  % (21569)------------------------------
% 1.80/1.69  % (21573)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/11Mi)
% 1.80/1.69  % Exception at run slice level
% 1.80/1.69  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.70  % (21571)Instruction limit reached!
% 1.80/1.70  % (21571)------------------------------
% 1.80/1.70  % (21571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.70  % (21571)Termination reason: Unknown
% 1.80/1.70  % (21571)Termination phase: Saturation
% 1.80/1.70  
% 1.80/1.70  % (21571)Memory used [KB]: 5884
% 1.80/1.70  % (21571)Time elapsed: 0.027 s
% 1.80/1.70  % (21571)Instructions burned: 72 (million)
% 1.80/1.70  % (21571)------------------------------
% 1.80/1.70  % (21571)------------------------------
% 1.80/1.70  % (21574)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_21189 for (2996ds/41Mi)
% 1.80/1.70  % Exception at run slice level
% 1.80/1.70  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.80/1.70  % (21572)Instruction limit reached!
% 1.80/1.70  % (21572)------------------------------
% 1.80/1.70  % (21572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.70  % (21572)Termination reason: Unknown
% 1.80/1.70  % (21572)Termination phase: Saturation
% 1.80/1.70  
% 1.80/1.70  % (21572)Memory used [KB]: 6012
% 1.80/1.70  % (21572)Time elapsed: 0.028 s
% 1.80/1.70  % (21572)Instructions burned: 83 (million)
% 1.80/1.70  % (21572)------------------------------
% 1.80/1.70  % (21572)------------------------------
% 1.80/1.71  % (21538)Instruction limit reached!
% 1.80/1.71  % (21538)------------------------------
% 1.80/1.71  % (21538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.71  % (21538)Termination reason: Unknown
% 1.80/1.71  % (21538)Termination phase: Saturation
% 1.80/1.71  
% 1.80/1.71  % (21538)Memory used [KB]: 6524
% 1.80/1.71  % (21538)Time elapsed: 0.288 s
% 1.80/1.71  % (21538)Instructions burned: 904 (million)
% 1.80/1.71  % (21538)------------------------------
% 1.80/1.71  % (21538)------------------------------
% 1.80/1.71  % (21575)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/6Mi)
% 1.80/1.71  % (21559)Instruction limit reached!
% 1.80/1.71  % (21559)------------------------------
% 1.80/1.71  % (21559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.71  % (21559)Termination reason: Unknown
% 1.80/1.71  % (21559)Termination phase: Saturation
% 1.80/1.71  
% 1.80/1.71  % (21559)Memory used [KB]: 6140
% 1.80/1.71  % (21559)Time elapsed: 0.146 s
% 1.80/1.71  % (21559)Instructions burned: 507 (million)
% 1.80/1.71  % (21559)------------------------------
% 1.80/1.71  % (21559)------------------------------
% 1.80/1.71  % (21576)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/150Mi)
% 1.80/1.71  % (21575)Instruction limit reached!
% 1.80/1.71  % (21575)------------------------------
% 1.80/1.71  % (21575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.71  % (21575)Termination reason: Unknown
% 1.80/1.71  % (21575)Termination phase: Property scanning
% 1.80/1.71  
% 1.80/1.71  % (21575)Memory used [KB]: 1023
% 1.80/1.71  % (21575)Time elapsed: 0.004 s
% 1.80/1.71  % (21575)Instructions burned: 8 (million)
% 1.80/1.71  % (21575)------------------------------
% 1.80/1.71  % (21575)------------------------------
% 1.80/1.71  % (21577)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/343Mi)
% 1.80/1.72  % (21578)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_21189 for (2996ds/109Mi)
% 1.80/1.72  % (21579)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_21189 for (2996ds/253Mi)
% 1.80/1.72  % (21580)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_21189 for (2996ds/140Mi)
% 1.80/1.75  % (21578)Instruction limit reached!
% 1.80/1.75  % (21578)------------------------------
% 1.80/1.75  % (21578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.75  % (21578)Termination reason: Unknown
% 1.80/1.75  % (21578)Termination phase: Saturation
% 1.80/1.75  
% 1.80/1.75  % (21578)Memory used [KB]: 6140
% 1.80/1.75  % (21578)Time elapsed: 0.035 s
% 1.80/1.75  % (21578)Instructions burned: 110 (million)
% 1.80/1.75  % (21578)------------------------------
% 1.80/1.75  % (21578)------------------------------
% 1.80/1.76  % (21545)Instruction limit reached!
% 1.80/1.76  % (21545)------------------------------
% 1.80/1.76  % (21545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.76  % (21545)Termination reason: Unknown
% 1.80/1.76  % (21545)Termination phase: Saturation
% 1.80/1.76  
% 1.80/1.76  % (21545)Memory used [KB]: 6908
% 1.80/1.76  % (21545)Time elapsed: 0.303 s
% 1.80/1.76  % (21545)Instructions burned: 880 (million)
% 1.80/1.76  % (21545)------------------------------
% 1.80/1.76  % (21545)------------------------------
% 1.80/1.76  % (21581)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_21189 for (2996ds/614Mi)
% 1.80/1.76  % (21576)Instruction limit reached!
% 1.80/1.76  % (21576)------------------------------
% 1.80/1.76  % (21576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.76  % (21576)Termination reason: Unknown
% 1.80/1.76  % (21576)Termination phase: Saturation
% 1.80/1.76  
% 1.80/1.76  % (21576)Memory used [KB]: 6268
% 1.80/1.76  % (21576)Time elapsed: 0.051 s
% 1.80/1.76  % (21576)Instructions burned: 151 (million)
% 1.80/1.76  % (21576)------------------------------
% 1.80/1.76  % (21576)------------------------------
% 1.80/1.77  % (21582)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_21189 for (2995ds/202Mi)
% 1.80/1.77  % (21563)First to succeed.
% 1.80/1.77  % (21563)Refutation found. Thanks to Tanya!
% 1.80/1.77  % SZS status Theorem for DTF2THF_21189
% 1.80/1.77  % SZS output start Proof for DTF2THF_21189
% 1.80/1.77  thf(type_def_6, type, nat: $tType).
% 1.80/1.77  thf(type_def_7, type, list: ($tType) > $tType).
% 1.80/1.77  thf(type_def_8, type, sK3: $tType).
% 1.80/1.77  thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 1.80/1.77  thf(func_def_2, type, nat: $tType).
% 1.80/1.77  thf(func_def_3, type, natStar: nat > nat > $o).
% 1.80/1.77  thf(func_def_4, type, zero: nat).
% 1.80/1.77  thf(func_def_5, type, suc: nat > nat).
% 1.80/1.77  thf(func_def_6, type, plus: nat > nat > nat).
% 1.80/1.77  thf(func_def_7, type, list: ($tType) > $tType).
% 1.80/1.77  thf(func_def_8, type, listStar: !>[X0: $tType]:((X0 > X0 > $o) > nat > list @ X0 > list @ X0 > $o)).
% 1.80/1.77  thf(func_def_9, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.80/1.77  thf(func_def_10, type, cons: !>[X0: $tType]:(nat > X0 > list @ X0 > list @ X0)).
% 1.80/1.77  thf(func_def_11, type, app: !>[X0: $tType]:(nat > nat > list @ X0 > list @ X0 > list @ X0)).
% 1.80/1.77  thf(func_def_12, type, rev: !>[X0: $tType]:(nat > list @ X0 > list @ X0)).
% 1.80/1.77  thf(func_def_15, type, sP0: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 1.80/1.77  thf(func_def_16, type, sP1: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 1.80/1.77  thf(func_def_17, type, sK2: (nat > $o) > nat).
% 1.80/1.77  thf(func_def_18, type, sK4: sK3 > sK3 > $o).
% 1.80/1.77  thf(func_def_19, type, sK5: nat).
% 1.80/1.77  thf(func_def_20, type, sK6: list @ sK3).
% 1.80/1.77  thf(func_def_21, type, sK7: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.80/1.77  thf(func_def_22, type, sK8: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.80/1.77  thf(func_def_23, type, sK9: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.80/1.77  thf(func_def_24, type, sK10: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.80/1.77  thf(func_def_25, type, sK11: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.80/1.77  thf(func_def_27, type, ph13: !>[X0: $tType]:(X0)).
% 1.80/1.77  thf(f1316,plain,(
% 1.80/1.77    $false),
% 1.80/1.77    inference(avatar_sat_refutation,[status(thm)],[f298,f305,f358,f1315])).
% 1.80/1.77  thf(f1315,plain,(
% 1.80/1.77    ~spl12_5),
% 1.80/1.77    inference(avatar_contradiction_clause,[status(thm)],[f1314])).
% 1.80/1.77  thf(f1314,plain,(
% 1.80/1.77    $false | ~spl12_5),
% 1.80/1.77    inference(subsumption_resolution,[status(thm)],[f1297,f80])).
% 1.80/1.77  thf(f80,plain,(
% 1.80/1.77    ($true = (isPer @ sK3 @ sK4))),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f65])).
% 1.80/1.77  thf(f65,plain,(
% 1.80/1.77    (($true = (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ (rev @ sK3 @ zero @ nil @ sK3) @ sK6))) & ($true = (listStar @ sK3 @ sK4 @ sK5 @ sK6 @ sK6)) & ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6)))) & ($true = (isPer @ sK3 @ sK4))),
% 1.80/1.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f56,f64,f63])).
% 1.80/1.77  thf(f63,plain,(
% 1.80/1.77    ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : nat,X3 : list @ X0] : (((listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ (rev @ X0 @ zero @ nil @ X0) @ X3)) = $true) & ($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) & ($true != (listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3)))) & ((isPer @ X0 @ X1) = $true)) => (? [X3 : list @ sK3,X2 : nat] : (($true = (listStar @ sK3 @ sK4 @ X2 @ (rev @ sK3 @ X2 @ (rev @ sK3 @ X2 @ X3)) @ (app @ sK3 @ zero @ X2 @ (rev @ sK3 @ zero @ nil @ sK3) @ X3))) & ($true = (listStar @ sK3 @ sK4 @ X2 @ X3 @ X3)) & ($true != (listStar @ sK3 @ sK4 @ X2 @ (rev @ sK3 @ X2 @ (rev @ sK3 @ X2 @ X3)) @ (app @ sK3 @ zero @ X2 @ nil @ sK3 @ X3)))) & ($true = (isPer @ sK3 @ sK4)))),
% 1.80/1.77    introduced(definition,[],[choice_axiom])).
% 1.80/1.77  thf(f64,plain,(
% 1.80/1.77    ? [X3 : list @ sK3,X2 : nat] : (($true = (listStar @ sK3 @ sK4 @ X2 @ (rev @ sK3 @ X2 @ (rev @ sK3 @ X2 @ X3)) @ (app @ sK3 @ zero @ X2 @ (rev @ sK3 @ zero @ nil @ sK3) @ X3))) & ($true = (listStar @ sK3 @ sK4 @ X2 @ X3 @ X3)) & ($true != (listStar @ sK3 @ sK4 @ X2 @ (rev @ sK3 @ X2 @ (rev @ sK3 @ X2 @ X3)) @ (app @ sK3 @ zero @ X2 @ nil @ sK3 @ X3)))) => (($true = (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ (rev @ sK3 @ zero @ nil @ sK3) @ sK6))) & ($true = (listStar @ sK3 @ sK4 @ sK5 @ sK6 @ sK6)) & ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6))))),
% 1.80/1.77    introduced(definition,[],[choice_axiom])).
% 1.80/1.77  thf(f56,plain,(
% 1.80/1.77    ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : nat,X3 : list @ X0] : (((listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ (rev @ X0 @ zero @ nil @ X0) @ X3)) = $true) & ($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) & ($true != (listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3)))) & ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(flattening,[status(thm)],[f55])).
% 1.80/1.77  thf(f55,plain,(
% 1.80/1.77    ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : nat,X3 : list @ X0] : ((($true != (listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3))) & ((listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ (rev @ X0 @ zero @ nil @ X0) @ X3)) = $true)) & ($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) & ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(ennf_transformation,[status(thm)],[f26])).
% 1.80/1.77  thf(f26,plain,(
% 1.80/1.77    ~! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) => (((listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ (rev @ X0 @ zero @ nil @ X0) @ X3)) = $true) => ($true = (listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3))))))),
% 1.80/1.77    inference(fool_elimination,[status(thm)],[f25])).
% 1.80/1.77  thf(f25,plain,(
% 1.80/1.77    ~! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : list @ X0] : ((listStar @ X0 @ X1 @ X2 @ X3 @ X3) => ((listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ (rev @ X0 @ zero @ nil @ X0) @ X3)) => (listStar @ X0 @ X1 @ X2 @ (rev @ X0 @ X2 @ (rev @ X0 @ X2 @ X3)) @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3)))))),
% 1.80/1.77    inference(rectify,[status(thm)],[f17])).
% 1.80/1.77  thf(f17,negated_conjecture,(
% 1.80/1.77    ~! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X8 : nat,X15 : list @ X0] : ((listStar @ X0 @ X1 @ X8 @ X15 @ X15) => ((listStar @ X0 @ X1 @ X8 @ (rev @ X0 @ X8 @ (rev @ X0 @ X8 @ X15)) @ (app @ X0 @ zero @ X8 @ (rev @ X0 @ zero @ nil @ X0) @ X15)) => (listStar @ X0 @ X1 @ X8 @ (rev @ X0 @ X8 @ (rev @ X0 @ X8 @ X15)) @ (app @ X0 @ zero @ X8 @ nil @ X0 @ X15)))))),
% 1.80/1.77    inference(negated_conjecture,[status(cth)],[f16])).
% 1.80/1.77  thf(f16,conjecture,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X8 : nat,X15 : list @ X0] : ((listStar @ X0 @ X1 @ X8 @ X15 @ X15) => ((listStar @ X0 @ X1 @ X8 @ (rev @ X0 @ X8 @ (rev @ X0 @ X8 @ X15)) @ (app @ X0 @ zero @ X8 @ (rev @ X0 @ zero @ nil @ X0) @ X15)) => (listStar @ X0 @ X1 @ X8 @ (rev @ X0 @ X8 @ (rev @ X0 @ X8 @ X15)) @ (app @ X0 @ zero @ X8 @ nil @ X0 @ X15)))))),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p',list_rev_invol_step3)).
% 1.80/1.77  thf(f1297,plain,(
% 1.80/1.77    ($true != (isPer @ sK3 @ sK4)) | ~spl12_5),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f1294])).
% 1.80/1.77  thf(f1294,plain,(
% 1.80/1.77    ($true != $true) | ($true != (isPer @ sK3 @ sK4)) | ~spl12_5),
% 1.80/1.77    inference(superposition,[status(thm)],[f1281,f88])).
% 1.80/1.77  thf(f88,plain,(
% 1.80/1.77    ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((listStar @ X0 @ X1 @ zero @ (rev @ X0 @ zero @ nil @ X0) @ nil @ X0) = $true) | ((isPer @ X0 @ X1) != $true)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f52])).
% 1.80/1.77  thf(f52,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ((listStar @ X0 @ X1 @ zero @ (rev @ X0 @ zero @ nil @ X0) @ nil @ X0) = $true))),
% 1.80/1.77    inference(ennf_transformation,[status(thm)],[f30])).
% 1.80/1.77  thf(f30,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ((listStar @ X0 @ X1 @ zero @ (rev @ X0 @ zero @ nil @ X0) @ nil @ X0) = $true))),
% 1.80/1.77    inference(fool_elimination,[status(thm)],[f29])).
% 1.80/1.77  thf(f29,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (listStar @ X0 @ X1 @ zero @ (rev @ X0 @ zero @ nil @ X0) @ nil @ X0))),
% 1.80/1.77    inference(rectify,[status(thm)],[f13])).
% 1.80/1.77  thf(f13,axiom,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (listStar @ X0 @ X1 @ zero @ (rev @ X0 @ zero @ nil @ X0) @ nil @ X0))),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p',ax5)).
% 1.80/1.77  thf(f1281,plain,(
% 1.80/1.77    ($true != (listStar @ sK3 @ sK4 @ zero @ (rev @ sK3 @ zero @ nil @ sK3) @ nil @ sK3)) | ~spl12_5),
% 1.80/1.77    inference(subsumption_resolution,[status(thm)],[f1275,f82])).
% 1.80/1.77  thf(f82,plain,(
% 1.80/1.77    ($true = (listStar @ sK3 @ sK4 @ sK5 @ sK6 @ sK6))),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f65])).
% 1.80/1.77  thf(f1275,plain,(
% 1.80/1.77    ($true != (listStar @ sK3 @ sK4 @ zero @ (rev @ sK3 @ zero @ nil @ sK3) @ nil @ sK3)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ sK6 @ sK6)) | ~spl12_5),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f1271])).
% 1.80/1.77  thf(f1271,plain,(
% 1.80/1.77    ($true != $true) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ sK6 @ sK6)) | ($true != (listStar @ sK3 @ sK4 @ zero @ (rev @ sK3 @ zero @ nil @ sK3) @ nil @ sK3)) | ~spl12_5),
% 1.80/1.77    inference(superposition,[status(thm)],[f1239,f83])).
% 1.80/1.77  thf(f83,plain,(
% 1.80/1.77    ($true = (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ (rev @ sK3 @ zero @ nil @ sK3) @ sK6)))),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f65])).
% 1.80/1.77  thf(f1239,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3,X1 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ X0 @ X1))) | ($true != (listStar @ sK3 @ sK4 @ zero @ X0 @ nil @ sK3)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ X1 @ sK6))) ) | ~spl12_5),
% 1.80/1.77    inference(subsumption_resolution,[status(thm)],[f1236,f80])).
% 1.80/1.77  thf(f1236,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3,X1 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ X1 @ sK6)) | ($true != (isPer @ sK3 @ sK4)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ X0 @ X1))) | ($true != (listStar @ sK3 @ sK4 @ zero @ X0 @ nil @ sK3))) ) | ~spl12_5),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f1172])).
% 1.80/1.77  thf(f1172,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3,X1 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ X0 @ X1))) | ($true != (listStar @ sK3 @ sK4 @ zero @ X0 @ nil @ sK3)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ X1 @ sK6)) | ($true != $true) | ($true != (isPer @ sK3 @ sK4))) ) | ~spl12_5),
% 1.80/1.77    inference(superposition,[status(thm)],[f294,f391])).
% 1.80/1.77  thf(f391,plain,(
% 1.80/1.77    ( ! [X1 : $tType,X2 : X1 > X1 > $o,X3 : list @ X1,X0 : nat,X6 : list @ X1,X4 : list @ X1,X5 : list @ X1] : (($true = (listStar @ X1 @ X2 @ X0 @ (app @ X1 @ zero @ X0 @ X3 @ X4) @ (app @ X1 @ zero @ X0 @ X5 @ X6))) | ($true != (isPer @ X1 @ X2)) | ($true != (listStar @ X1 @ X2 @ X0 @ X4 @ X6)) | ($true != (listStar @ X1 @ X2 @ zero @ X3 @ X5))) )),
% 1.80/1.77    inference(superposition,[status(thm)],[f84,f91])).
% 1.80/1.77  thf(f91,plain,(
% 1.80/1.77    ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f41])).
% 1.80/1.77  thf(f41,plain,(
% 1.80/1.77    ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 1.80/1.77    inference(rectify,[status(thm)],[f11])).
% 1.80/1.77  thf(f11,axiom,(
% 1.80/1.77    ! [X8 : nat] : ((plus @ zero @ X8) = X8)),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p',ax1)).
% 1.80/1.77  thf(f84,plain,(
% 1.80/1.77    ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0 > X0 > $o,X6 : list @ X0,X7 : list @ X0,X4 : list @ X0,X5 : list @ X0] : (((listStar @ X0 @ X1 @ (plus @ X2 @ X3) @ (app @ X0 @ X2 @ X3 @ X4 @ X6) @ (app @ X0 @ X2 @ X3 @ X5 @ X7)) = $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X4 @ X5)) | ($true != (listStar @ X0 @ X1 @ X3 @ X6 @ X7)) | ((isPer @ X0 @ X1) != $true)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f54])).
% 1.80/1.77  thf(f54,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : nat,X4 : list @ X0,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X2 @ X4 @ X5)) | ! [X6 : list @ X0,X7 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X3 @ X6 @ X7)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ X3) @ (app @ X0 @ X2 @ X3 @ X4 @ X6) @ (app @ X0 @ X2 @ X3 @ X5 @ X7)) = $true))))),
% 1.80/1.77    inference(ennf_transformation,[status(thm)],[f36])).
% 1.80/1.77  thf(f36,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : nat,X4 : list @ X0,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X2 @ X4 @ X5)) => ! [X6 : list @ X0,X7 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X3 @ X6 @ X7)) => ((listStar @ X0 @ X1 @ (plus @ X2 @ X3) @ (app @ X0 @ X2 @ X3 @ X4 @ X6) @ (app @ X0 @ X2 @ X3 @ X5 @ X7)) = $true))))),
% 1.80/1.77    inference(fool_elimination,[status(thm)],[f35])).
% 1.80/1.77  thf(f35,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : nat,X4 : list @ X0,X5 : list @ X0] : ((listStar @ X0 @ X1 @ X2 @ X4 @ X5) => ! [X6 : list @ X0,X7 : list @ X0] : ((listStar @ X0 @ X1 @ X3 @ X6 @ X7) => (listStar @ X0 @ X1 @ (plus @ X2 @ X3) @ (app @ X0 @ X2 @ X3 @ X4 @ X6) @ (app @ X0 @ X2 @ X3 @ X5 @ X7)))))),
% 1.80/1.77    inference(rectify,[status(thm)],[f6])).
% 1.80/1.77  thf(f6,axiom,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X8 : nat,X13 : nat,X9 : list @ X0,X10 : list @ X0] : ((listStar @ X0 @ X1 @ X8 @ X9 @ X10) => ! [X11 : list @ X0,X12 : list @ X0] : ((listStar @ X0 @ X1 @ X13 @ X11 @ X12) => (listStar @ X0 @ X1 @ (plus @ X8 @ X13) @ (app @ X0 @ X8 @ X13 @ X9 @ X11) @ (app @ X0 @ X8 @ X13 @ X10 @ X12)))))),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p',app_tp_ax)).
% 1.80/1.77  thf(f294,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ X0 @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6))) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ X0))) ) | ~spl12_5),
% 1.80/1.77    inference(avatar_component_clause,[status(thm)],[f293])).
% 1.80/1.77  thf(f293,definition,(
% 1.80/1.77    spl12_5 <=> ! [X0 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ X0)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ X0 @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6))))),
% 1.80/1.77    introduced(definition,[new_symbols(naming,[spl12_5])],[avatar_definition])).
% 1.80/1.77  thf(f358,plain,(
% 1.80/1.77    spl12_4),
% 1.80/1.77    inference(avatar_contradiction_clause,[status(thm)],[f357])).
% 1.80/1.77  thf(f357,plain,(
% 1.80/1.77    $false | spl12_4),
% 1.80/1.77    inference(subsumption_resolution,[status(thm)],[f356,f80])).
% 1.80/1.77  thf(f356,plain,(
% 1.80/1.77    ($true != (isPer @ sK3 @ sK4)) | spl12_4),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f353])).
% 1.80/1.77  thf(f353,plain,(
% 1.80/1.77    ($true != (isPer @ sK3 @ sK4)) | ($true != $true) | spl12_4),
% 1.80/1.77    inference(superposition,[status(thm)],[f307,f89])).
% 1.80/1.77  thf(f89,plain,(
% 1.80/1.77    ( ! [X0 : $tType,X2 : nat,X1 : X0 > X0 > $o] : (($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))) | ((isPer @ X0 @ X1) != $true)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f48])).
% 1.80/1.77  thf(f48,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat] : ($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))))),
% 1.80/1.77    inference(ennf_transformation,[status(thm)],[f24])).
% 1.80/1.77  thf(f24,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat] : ($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))))),
% 1.80/1.77    inference(fool_elimination,[status(thm)],[f23])).
% 1.80/1.77  thf(f23,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat] : (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2)))),
% 1.80/1.77    inference(rectify,[status(thm)],[f3])).
% 1.80/1.77  thf(f3,axiom,(
% 1.80/1.77    ! [X5 : $tType,X6 : X5 > X5 > $o] : ((isPer @ X5 @ X6) => ! [X7 : nat] : (isPer @ list @ X5 @ (listStar @ X5 @ X6 @ X7)))),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p','\'listStar\'_is_per')).
% 1.80/1.77  thf(f307,plain,(
% 1.80/1.77    ($true != (isPer @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | spl12_4),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f306])).
% 1.80/1.77  thf(f306,plain,(
% 1.80/1.77    ($true != (isPer @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | ($true != $true) | spl12_4),
% 1.80/1.77    inference(superposition,[status(thm)],[f204,f101])).
% 1.80/1.77  thf(f101,plain,(
% 1.80/1.77    ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true = (sP1 @ X0 @ X1)) | ((isPer @ X0 @ X1) != $true)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f75])).
% 1.80/1.77  thf(f75,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((($true = (sP1 @ X0 @ X1)) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ($true != (sP1 @ X0 @ X1))))),
% 1.80/1.77    inference(nnf_transformation,[status(thm)],[f59])).
% 1.80/1.77  thf(f59,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true = (sP1 @ X0 @ X1)) <=> ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(definition_folding,[status(thm)],[f50,f58,f57])).
% 1.80/1.77  thf(f57,plain,(
% 1.80/1.77    ! [X1 : X0 > X0 > $o,X0 : $tType] : (($true = (sP0 @ X0 @ X1)) <=> ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X4 @ X5)) | ($true != (X1 @ X5 @ X6))))),
% 1.80/1.77    introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.80/1.77  thf(f58,plain,(
% 1.80/1.77    ! [X1 : X0 > X0 > $o,X0 : $tType] : (($true = (sP1 @ X0 @ X1)) <=> (! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true)) & ($true = (sP0 @ X0 @ X1))))),
% 1.80/1.77    introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.80/1.77  thf(f50,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true)) & ! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X4 @ X5)) | ($true != (X1 @ X5 @ X6)))) <=> ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(flattening,[status(thm)],[f49])).
% 1.80/1.77  thf(f49,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : ((($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X5 @ X6))) | ($true != (X1 @ X4 @ X5))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(ennf_transformation,[status(thm)],[f28])).
% 1.80/1.77  thf(f28,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X5)) => (($true = (X1 @ X5 @ X6)) => ($true = (X1 @ X4 @ X6)))) & ! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) => ((X1 @ X3 @ X2) = $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 1.80/1.77    inference(fool_elimination,[status(thm)],[f27])).
% 1.80/1.77  thf(f27,plain,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2)) & ! [X4 : X0,X5 : X0,X6 : X0] : ((X1 @ X4 @ X5) => ((X1 @ X5 @ X6) => (X1 @ X4 @ X6)))))),
% 1.80/1.77    inference(rectify,[status(thm)],[f1])).
% 1.80/1.77  thf(f1,axiom,(
% 1.80/1.77    ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2)) & ! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4)))))),
% 1.80/1.77    file('/export/starexec/sandbox/tmp/tmp.o2QJ2UYlKW/DTF2THF_21189.p',is_per)).
% 1.80/1.77  thf(f204,plain,(
% 1.80/1.77    ($true != (sP1 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | spl12_4),
% 1.80/1.77    inference(avatar_component_clause,[status(thm)],[f203])).
% 1.80/1.77  thf(f203,definition,(
% 1.80/1.77    spl12_4 <=> ($true = (sP1 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5)))),
% 1.80/1.77    introduced(definition,[new_symbols(naming,[spl12_4])],[avatar_definition])).
% 1.80/1.77  thf(f305,plain,(
% 1.80/1.77    ~spl12_4 | spl12_6),
% 1.80/1.77    inference(avatar_split_clause,[status(thm)],[f304,f296,f203])).
% 1.80/1.77  thf(f296,definition,(
% 1.80/1.77    spl12_6 <=> ($true = (sP0 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5)))),
% 1.80/1.77    introduced(definition,[new_symbols(naming,[spl12_6])],[avatar_definition])).
% 1.80/1.77  thf(f304,plain,(
% 1.80/1.77    ($true != (sP1 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | spl12_6),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f303])).
% 1.80/1.77  thf(f303,plain,(
% 1.80/1.77    ($true != $true) | ($true != (sP1 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | spl12_6),
% 1.80/1.77    inference(superposition,[status(thm)],[f297,f92])).
% 1.80/1.77  thf(f92,plain,(
% 1.80/1.77    ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((sP0 @ X1 @ X0) = $true) | ($true != (sP1 @ X1 @ X0))) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f70])).
% 1.80/1.77  thf(f70,plain,(
% 1.80/1.77    ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP1 @ X1 @ X0)) | (($true = (X0 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0))) & ($true != (X0 @ (sK8 @ X1 @ X0) @ (sK7 @ X1 @ X0)))) | ((sP0 @ X1 @ X0) != $true)) & ((! [X4 : X1,X5 : X1] : (($true != (X0 @ X4 @ X5)) | ($true = (X0 @ X5 @ X4))) & ((sP0 @ X1 @ X0) = $true)) | ($true != (sP1 @ X1 @ X0))))),
% 1.80/1.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f68,f69])).
% 1.80/1.77  thf(f69,plain,(
% 1.80/1.77    ! [X1 : $tType,X0 : X1 > X1 > $o] : (? [X2 : X1,X3 : X1] : (((X0 @ X2 @ X3) = $true) & ($true != (X0 @ X3 @ X2))) => (($true = (X0 @ (sK7 @ X1 @ X0) @ (sK8 @ X1 @ X0))) & ($true != (X0 @ (sK8 @ X1 @ X0) @ (sK7 @ X1 @ X0)))))),
% 1.80/1.77    introduced(definition,[],[choice_axiom])).
% 1.80/1.77  thf(f68,plain,(
% 1.80/1.77    ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP1 @ X1 @ X0)) | ? [X2 : X1,X3 : X1] : (((X0 @ X2 @ X3) = $true) & ($true != (X0 @ X3 @ X2))) | ((sP0 @ X1 @ X0) != $true)) & ((! [X4 : X1,X5 : X1] : (($true != (X0 @ X4 @ X5)) | ($true = (X0 @ X5 @ X4))) & ((sP0 @ X1 @ X0) = $true)) | ($true != (sP1 @ X1 @ X0))))),
% 1.80/1.77    inference(rectify,[status(thm)],[f67])).
% 1.80/1.77  thf(f67,plain,(
% 1.80/1.77    ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP1 @ X0 @ X1)) | ? [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X2) != $true)) | ($true != (sP0 @ X0 @ X1))) & ((! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true)) & ($true = (sP0 @ X0 @ X1))) | ($true != (sP1 @ X0 @ X1))))),
% 1.80/1.77    inference(flattening,[status(thm)],[f66])).
% 1.80/1.77  thf(f66,plain,(
% 1.80/1.77    ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP1 @ X0 @ X1)) | (? [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X2) != $true)) | ($true != (sP0 @ X0 @ X1)))) & ((! [X2 : X0,X3 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X2) = $true)) & ($true = (sP0 @ X0 @ X1))) | ($true != (sP1 @ X0 @ X1))))),
% 1.80/1.77    inference(nnf_transformation,[status(thm)],[f58])).
% 1.80/1.77  thf(f297,plain,(
% 1.80/1.77    ($true != (sP0 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | spl12_6),
% 1.80/1.77    inference(avatar_component_clause,[status(thm)],[f296])).
% 1.80/1.77  thf(f298,plain,(
% 1.80/1.77    spl12_5 | ~spl12_6),
% 1.80/1.77    inference(avatar_split_clause,[status(thm)],[f271,f296,f293])).
% 1.80/1.77  thf(f271,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3] : (($true != (sP0 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5))) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ X0)) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ X0 @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6)))) )),
% 1.80/1.77    inference(trivial_inequality_removal,[status(thm)],[f268])).
% 1.80/1.77  thf(f268,plain,(
% 1.80/1.77    ( ! [X0 : list @ sK3] : (($true != (listStar @ sK3 @ sK4 @ sK5 @ X0 @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6))) | ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ X0)) | ($true != $true) | ($true != (sP0 @ list @ sK3 @ (listStar @ sK3 @ sK4 @ sK5)))) )),
% 1.80/1.77    inference(superposition,[status(thm)],[f81,f96])).
% 1.80/1.77  thf(f96,plain,(
% 1.80/1.77    ( ! [X1 : $tType,X0 : X1 > X1 > $o,X6 : X1,X7 : X1,X5 : X1] : (($true = (X0 @ X5 @ X7)) | ($true != (X0 @ X5 @ X6)) | ($true != (X0 @ X6 @ X7)) | ((sP0 @ X1 @ X0) != $true)) )),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f74])).
% 1.80/1.77  thf(f74,plain,(
% 1.80/1.77    ! [X0 : X1 > X1 > $o,X1 : $tType] : ((((sP0 @ X1 @ X0) = $true) | (($true != (X0 @ (sK9 @ X1 @ X0) @ (sK11 @ X1 @ X0))) & ((X0 @ (sK9 @ X1 @ X0) @ (sK10 @ X1 @ X0)) = $true) & ($true = (X0 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0))))) & (! [X5 : X1,X6 : X1,X7 : X1] : (($true = (X0 @ X5 @ X7)) | ($true != (X0 @ X5 @ X6)) | ($true != (X0 @ X6 @ X7))) | ((sP0 @ X1 @ X0) != $true)))),
% 1.80/1.77    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f72,f73])).
% 1.80/1.77  thf(f73,plain,(
% 1.80/1.77    ! [X1 : $tType,X0 : X1 > X1 > $o] : (? [X2 : X1,X3 : X1,X4 : X1] : (($true != (X0 @ X2 @ X4)) & ((X0 @ X2 @ X3) = $true) & ($true = (X0 @ X3 @ X4))) => (($true != (X0 @ (sK9 @ X1 @ X0) @ (sK11 @ X1 @ X0))) & ((X0 @ (sK9 @ X1 @ X0) @ (sK10 @ X1 @ X0)) = $true) & ($true = (X0 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0)))))),
% 1.80/1.77    introduced(definition,[],[choice_axiom])).
% 1.80/1.77  thf(f72,plain,(
% 1.80/1.77    ! [X0 : X1 > X1 > $o,X1 : $tType] : ((((sP0 @ X1 @ X0) = $true) | ? [X2 : X1,X3 : X1,X4 : X1] : (($true != (X0 @ X2 @ X4)) & ((X0 @ X2 @ X3) = $true) & ($true = (X0 @ X3 @ X4)))) & (! [X5 : X1,X6 : X1,X7 : X1] : (($true = (X0 @ X5 @ X7)) | ($true != (X0 @ X5 @ X6)) | ($true != (X0 @ X6 @ X7))) | ((sP0 @ X1 @ X0) != $true)))),
% 1.80/1.77    inference(rectify,[status(thm)],[f71])).
% 1.80/1.77  thf(f71,plain,(
% 1.80/1.77    ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP0 @ X0 @ X1)) | ? [X4 : X0,X5 : X0,X6 : X0] : (($true != (X1 @ X4 @ X6)) & ($true = (X1 @ X4 @ X5)) & ($true = (X1 @ X5 @ X6)))) & (! [X4 : X0,X5 : X0,X6 : X0] : (($true = (X1 @ X4 @ X6)) | ($true != (X1 @ X4 @ X5)) | ($true != (X1 @ X5 @ X6))) | ($true != (sP0 @ X0 @ X1))))),
% 1.80/1.77    inference(nnf_transformation,[status(thm)],[f57])).
% 1.80/1.77  thf(f81,plain,(
% 1.80/1.77    ($true != (listStar @ sK3 @ sK4 @ sK5 @ (rev @ sK3 @ sK5 @ (rev @ sK3 @ sK5 @ sK6)) @ (app @ sK3 @ zero @ sK5 @ nil @ sK3 @ sK6)))),
% 1.80/1.77    inference(cnf_transformation,[status(thm)],[f65])).
% 1.80/1.77  % SZS output end Proof for DTF2THF_21189
% 1.80/1.77  % (21563)------------------------------
% 1.80/1.77  % (21563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.80/1.77  % (21563)Termination reason: Refutation
% 1.80/1.77  
% 1.80/1.77  % (21563)Memory used [KB]: 6652
% 1.80/1.77  % (21563)Time elapsed: 0.171 s
% 1.80/1.77  % (21563)Instructions burned: 520 (million)
% 1.80/1.77  % (21563)------------------------------
% 1.80/1.77  % (21563)------------------------------
% 1.80/1.77  % (21515)Success in time 0.416 s
%------------------------------------------------------------------------------