%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT375^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n004.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 08:45:36 AM UTC 2026
% Result : Theorem 14.93s 3.21s
% Output : Refutation 14.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT375^1 : TPTP v9.2.1. Released v9.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Feb 24 06:15:56 EST 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.43 ---- Original DTF file ---
% 0.16/0.43 thf(spec,logic,$$dhol).
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 % File : DAT375^1 : TPTP v9.2.1. Released v9.2.0.
% 0.16/0.43 % Domain : Data Structures
% 0.16/0.43 % Problem : Associativity of list append polymorphic, induction step typed
% 0.16/0.43 % Version : Especial.
% 0.16/0.43 % English :
% 0.16/0.43
% 0.16/0.43 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.16/0.43 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.16/0.43 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.16/0.43 % Source : [Rot25]
% 0.16/0.43 % Names : ListAppAssoc/list-app-assoc-typeInstantiated.p [Rot25]
% 0.16/0.43
% 0.16/0.43 % Status : Theorem
% 0.16/0.43 % Rating : ? v9.2.0
% 0.16/0.43 % Syntax : Number of formulae : 15 ( 5 unt; 8 typ; 0 def)
% 0.16/0.43 % Number of atoms : 11 ( 11 equ; 0 cnn)
% 0.16/0.43 % Maximal formula atoms : 4 ( 1 avg)
% 0.16/0.43 % Number of connectives : 319 ( 0 ~; 0 |; 0 &; 315 @)
% 0.16/0.43 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.16/0.43 % Maximal formula depth : 12 ( 6 avg)
% 0.16/0.43 % Number of types : 1 ( 1 usr)
% 0.16/0.43 % Number of type decls : 8 ( 3 !>P; 2 !>D)
% 0.16/0.43 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.16/0.43 % Number of symbols : 8 ( 7 usr; 1 con; 0-5 aty)
% 0.16/0.43 % Number of variables : 41 ( 0 ^; 35 !; 0 ?; 41 :)
% 0.16/0.43 % ( 6 !>; 0 ?*; 0 @-; 0 @+)
% 0.16/0.43 % SPC : DH1_THM_EQU_NAR
% 0.16/0.43
% 0.16/0.43 % Comments :
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 thf(nat_type,type,
% 0.16/0.43 nat: $tType ).
% 0.16/0.43
% 0.16/0.43 thf(zero_type,type,
% 0.16/0.43 zero: nat ).
% 0.16/0.43
% 0.16/0.43 thf(suc_type,type,
% 0.16/0.43 suc: nat > nat ).
% 0.16/0.43
% 0.16/0.43 thf(plus_type,type,
% 0.16/0.43 plus: nat > nat > nat ).
% 0.16/0.43
% 0.16/0.43 thf(list_type,type,
% 0.16/0.43 list: $tType > nat > $tType ).
% 0.16/0.43
% 0.16/0.43 thf(nil_type,type,
% 0.16/0.43 nil:
% 0.16/0.43 !>[A: $tType] : ( list @ A @ zero ) ).
% 0.16/0.43
% 0.16/0.43 thf(cons_type,type,
% 0.16/0.43 cons:
% 0.16/0.43 !>[A: $tType,N: nat] : ( A > ( list @ A @ N ) > ( list @ A @ ( suc @ N ) ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(app_type,type,
% 0.16/0.43 app:
% 0.16/0.43 !>[A: $tType,N: nat,M: nat] : ( ( list @ A @ N ) > ( list @ A @ M ) > ( list @ A @ ( plus @ N @ M ) ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(ax1,axiom,
% 0.16/0.43 ! [N: nat] :
% 0.16/0.43 ( ( plus @ zero @ N )
% 0.16/0.43 = N ) ).
% 0.16/0.43
% 0.16/0.43 thf(ax2,axiom,
% 0.16/0.43 ! [N: nat,M: nat] :
% 0.16/0.43 ( ( plus @ ( suc @ N ) @ M )
% 0.16/0.43 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(plus_assoc,axiom,
% 0.16/0.43 ! [M1: nat,M2: nat,M3: nat] :
% 0.16/0.43 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 0.16/0.43 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(list_app_assoc_indinst,axiom,
% 0.16/0.43 ! [A: $tType,M2: nat,L2: list @ A @ M2,M3: nat,L3: list @ A @ M3] :
% 0.16/0.43 ( ( ( app @ A @ zero @ ( plus @ M2 @ M3 ) @ ( nil @ A ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ zero @ M2 ) @ M3 @ ( app @ A @ zero @ M2 @ ( nil @ A ) @ L2 ) @ L3 ) )
% 0.16/0.43 => ( ! [M: nat,X: A,L: list @ A @ M] :
% 0.16/0.43 ( ( ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) )
% 0.16/0.43 => ( ( app @ A @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ A @ M @ X @ L ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ A @ ( suc @ M ) @ M2 @ ( cons @ A @ M @ X @ L ) @ L2 ) @ L3 ) ) )
% 0.16/0.43 => ! [M: nat,L: list @ A @ M] :
% 0.16/0.43 ( ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) ) ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(list_app_assoc_base,axiom,
% 0.16/0.43 ! [A: $tType,M2: nat,L2: list @ A @ M2,M3: nat,L3: list @ A @ M3] :
% 0.16/0.43 ( ( app @ A @ zero @ ( plus @ M2 @ M3 ) @ ( nil @ A ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ zero @ M2 ) @ M3 @ ( app @ A @ zero @ M2 @ ( nil @ A ) @ L2 ) @ L3 ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(list_app_assoc_indstep,axiom,
% 0.16/0.43 ! [A: $tType,M2: nat,L2: list @ A @ M2,M3: nat,L3: list @ A @ M3,M: nat,X: A,L: list @ A @ M] :
% 0.16/0.43 ( ( ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) )
% 0.16/0.43 => ( ( app @ A @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ A @ M @ X @ L ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ A @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ A @ ( suc @ M ) @ M2 @ ( cons @ A @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ).
% 0.16/0.43
% 0.16/0.43 thf(list_app_assoc,conjecture,
% 0.16/0.43 ! [M: nat,L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M,M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3] :
% 0.16/0.43 ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.16/0.43 = ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ M @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ M2 @ L @ L2 ) @ L3 ) ) ).
% 0.16/0.43
% 0.16/0.43 %------------------------------------------------------------------------------
% 0.16/0.43 ------------------------
% 1.57/1.26 ---- Embedded in THF ---
% 1.57/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.57/1.26 %%% Generated on Tue Feb 24 06:15:57 EST 2026
% 1.57/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.57/1.26 %%% Logic specification used:
% 1.57/1.26 %%% thf(spec, logic, $$dhol).
% 1.57/1.26
% 1.57/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2DTF22378.p
% 1.57/1.26 thf(is_per_type, type, isPer: (!> [A:$tType]: (((A > (A > $o)) > $o)))).
% 1.57/1.26 thf(is_per, definition, (! [A:$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)))))))))).
% 1.57/1.26 thf(nat_type, type, nat: $tType).
% 1.57/1.26 thf(natStar, type, 'natStar': (nat > (nat > $o))).
% 1.57/1.26 thf(natStar_is_eq, axiom, (! [X:nat,Y:nat]: (((('natStar' @ X) @ Y) <=> (X = Y))))).
% 1.57/1.26 thf(zero_type, type, zero: nat).
% 1.57/1.26 thf(suc_type, type, suc: (nat > nat)).
% 1.57/1.26 thf(plus_type, type, plus: (nat > (nat > nat))).
% 1.57/1.26 thf(list_type, type, list: ($tType > $tType)).
% 1.57/1.26 thf(listStar, type, 'listStar': (!> [A:$tType]: (((A > (A > $o)) > (nat > ((list @ A) > ((list @ A) > $o))))))).
% 1.57/1.26 thf('\'listStar\'_is_per', axiom, (! [B:$tType,BStar:(B > (B > $o))]: ((((isPer @ B) @ BStar) => (! [C:nat]: (((isPer @ (list @ B)) @ (((listStar @ B) @ BStar) @ C)))))))).
% 1.57/1.26 thf(nil_type, type, nil: (!> [A:$tType]: ((list @ A)))).
% 1.57/1.26 thf(nil_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (((((listStar @ A) @ AStar) @ zero) @ (nil @ A)) @ (nil @ A)))))).
% 1.57/1.26 thf(cons_type, type, cons: (!> [A:$tType]: ((nat > (A > ((list @ A) > (list @ A))))))).
% 1.57/1.26 thf(cons_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:A,D_prime:A]: (((D = D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ (suc @ N)) @ ((((cons @ A) @ N) @ D) @ D0)) @ ((((cons @ A) @ N) @ D_prime) @ D0_prime)))))))))))))).
% 1.57/1.26 thf(app_type, type, app: (!> [A:$tType]: ((nat > (nat > ((list @ A) > ((list @ A) > (list @ A)))))))).
% 1.57/1.26 thf(app_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [M:nat]: ((! [D:(list @ A),D_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D) @ D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ M) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ ((plus @ N) @ M)) @ (((((app @ A) @ N) @ M) @ D) @ D0)) @ (((((app @ A) @ N) @ M) @ D_prime) @ D0_prime)))))))))))))))).
% 1.57/1.26 thf(ax1, axiom, (! [N:nat]: ((((plus @ zero) @ N) = N)))).
% 1.57/1.26 thf(ax2, axiom, (! [N:nat]: ((! [M:nat]: ((((plus @ (suc @ N)) @ M) = (suc @ ((plus @ N) @ M)))))))).
% 1.57/1.26 thf(plus_assoc, axiom, (! [M1:nat]: ((! [M2:nat]: ((! [M3:nat]: ((((plus @ M1) @ ((plus @ M2) @ M3)) = ((plus @ ((plus @ M1) @ M2)) @ M3))))))))).
% 1.57/1.26 thf(list_app_assoc_indinst, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [M2:nat]: ((! [L2:(list @ A),M3:nat,L3:(list @ A)]: (((((((listStar @ A) @ AStar) @ M2) @ L2) @ L2) => ((((((listStar @ A) @ AStar) @ M3) @ L3) @ L3) => ((((((listStar @ A) @ AStar) @ ((plus @ zero) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ zero) @ ((plus @ M2) @ M3)) @ (nil @ A)) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ zero) @ M2)) @ M3) @ (((((app @ A) @ zero) @ M2) @ (nil @ A)) @ L2)) @ L3)) => ((! [M:nat]: ((! [X:A]: ((! [L:(list @ A)]: (((((((listStar @ A) @ AStar) @ M) @ L) @ L) => ((((((listStar @ A) @ AStar) @ ((plus @ ((plus @ M2) @ M3)) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ A) @ M) @ M2) @ L) @ L2)) @ L3)) => (((((listStar @ A) @ AStar) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ A) @ M) @ X) @ L)) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ (suc @ M)) @ M2)) @ M3) @ (((((app @ A) @ (suc @ M)) @ M2) @ ((((cons @ A) @ M) @ X) @ L)) @ L2)) @ L3)))))))))) => (! [M:nat]: ((! [L:(list @ A)]: (((((((listStar @ A) @ AStar) @ M) @ L) @ L) => (((((listStar @ A) @ AStar) @ ((plus @ ((plus @ M2) @ M3)) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ A) @ M) @ M2) @ L) @ L2)) @ L3))))))))))))))))))).
% 1.57/1.26 thf(list_app_assoc_base, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [M2:nat]: ((! [L2:(list @ A),M3:nat,L3:(list @ A)]: (((((((listStar @ A) @ AStar) @ M2) @ L2) @ L2) => ((((((listStar @ A) @ AStar) @ M3) @ L3) @ L3) => (((((listStar @ A) @ AStar) @ ((plus @ zero) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ zero) @ ((plus @ M2) @ M3)) @ (nil @ A)) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ zero) @ M2)) @ M3) @ (((((app @ A) @ zero) @ M2) @ (nil @ A)) @ L2)) @ L3)))))))))))).
% 1.57/1.26 thf(list_app_assoc_indstep, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [M2:nat]: ((! [L2:(list @ A),M3:nat,L3:(list @ A),M:nat,X:A,L:(list @ A)]: (((((((listStar @ A) @ AStar) @ M2) @ L2) @ L2) => ((((((listStar @ A) @ AStar) @ M3) @ L3) @ L3) => ((X = X) => ((((((listStar @ A) @ AStar) @ M) @ L) @ L) => ((((((listStar @ A) @ AStar) @ ((plus @ ((plus @ M2) @ M3)) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ A) @ M) @ M2) @ L) @ L2)) @ L3)) => (((((listStar @ A) @ AStar) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ A) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ A) @ M) @ X) @ L)) @ (((((app @ A) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ A) @ ((plus @ (suc @ M)) @ M2)) @ M3) @ (((((app @ A) @ (suc @ M)) @ M2) @ ((((cons @ A) @ M) @ X) @ L)) @ L2)) @ L3))))))))))))))).
% 1.57/1.26 thf(list_app_assoc, conjecture, (! [M:nat]: ((! [L:(list @ (list @ (list @ nat))),M2:nat,L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat)))]: (((((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ M) @ L) @ L) => ((((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ M2) @ L2) @ L2) => ((((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ M3) @ L3) @ L3) => (((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ ((plus @ M2) @ M3)) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ (list @ (list @ nat))) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ (list @ (list @ nat))) @ M) @ M2) @ L) @ L2)) @ L3)))))))))).
% 1.57/1.26 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2DTF22378.p
% 1.57/1.26 ------------------------
% 1.57/1.28 ---- Cleaned THF ---
% 1.57/1.28 thf(is_per_type,type,
% 1.57/1.28 isPer:
% 1.57/1.28 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.57/1.28
% 1.57/1.28 thf(is_per,definition,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 <=> ( ! [X: A,Y: A] :
% 1.57/1.28 ( ( AStar @ X @ Y )
% 1.57/1.28 => ( AStar @ Y @ X ) )
% 1.57/1.28 & ! [X: A,Y: A,Z: A] :
% 1.57/1.28 ( ( AStar @ X @ Y )
% 1.57/1.28 => ( ( AStar @ Y @ Z )
% 1.57/1.28 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(nat_type,type,
% 1.57/1.28 nat: $tType ).
% 1.57/1.28
% 1.57/1.28 thf(natStar,type,
% 1.57/1.28 natStar: nat > nat > $o ).
% 1.57/1.28
% 1.57/1.28 thf(natStar_is_eq,axiom,
% 1.57/1.28 ! [X: nat,Y: nat] :
% 1.57/1.28 ( ( natStar @ X @ Y )
% 1.57/1.28 <=> ( X = Y ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(zero_type,type,
% 1.57/1.28 zero: nat ).
% 1.57/1.28
% 1.57/1.28 thf(suc_type,type,
% 1.57/1.28 suc: nat > nat ).
% 1.57/1.28
% 1.57/1.28 thf(plus_type,type,
% 1.57/1.28 plus: nat > nat > nat ).
% 1.57/1.28
% 1.57/1.28 thf(list_type,type,
% 1.57/1.28 list: $tType > $tType ).
% 1.57/1.28
% 1.57/1.28 thf(listStar,type,
% 1.57/1.28 listStar:
% 1.57/1.28 !>[A: $tType] : ( ( A > A > $o ) > nat > ( list @ A ) > ( list @ A ) > $o ) ).
% 1.57/1.28
% 1.57/1.28 thf('\'listStar\'_is_per',axiom,
% 1.57/1.28 ! [B: $tType,BStar: B > B > $o] :
% 1.57/1.28 ( ( isPer @ B @ BStar )
% 1.57/1.28 => ! [C: nat] : ( isPer @ ( list @ B ) @ ( listStar @ B @ BStar @ C ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(nil_type,type,
% 1.57/1.28 nil:
% 1.57/1.28 !>[A: $tType] : ( list @ A ) ).
% 1.57/1.28
% 1.57/1.28 thf(nil_tp_ax,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ( listStar @ A @ AStar @ zero @ ( nil @ A ) @ ( nil @ A ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(cons_type,type,
% 1.57/1.28 cons:
% 1.57/1.28 !>[A: $tType] : ( nat > A > ( list @ A ) > ( list @ A ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(cons_tp_ax,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ! [N: nat,D: A,D_prime: A] :
% 1.57/1.28 ( ( D = D_prime )
% 1.57/1.28 => ! [D0: list @ A,D0_prime: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ N @ D0 @ D0_prime )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( suc @ N ) @ ( cons @ A @ N @ D @ D0 ) @ ( cons @ A @ N @ D_prime @ D0_prime ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(app_type,type,
% 1.57/1.28 app:
% 1.57/1.28 !>[A: $tType] : ( nat > nat > ( list @ A ) > ( list @ A ) > ( list @ A ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(app_tp_ax,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ! [N: nat,M: nat,D: list @ A,D_prime: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ N @ D @ D_prime )
% 1.57/1.28 => ! [D0: list @ A,D0_prime: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M @ D0 @ D0_prime )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( plus @ N @ M ) @ ( app @ A @ N @ M @ D @ D0 ) @ ( app @ A @ N @ M @ D_prime @ D0_prime ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(ax1,axiom,
% 1.57/1.28 ! [N: nat] :
% 1.57/1.28 ( ( plus @ zero @ N )
% 1.57/1.28 = N ) ).
% 1.57/1.28
% 1.57/1.28 thf(ax2,axiom,
% 1.57/1.28 ! [N: nat,M: nat] :
% 1.57/1.28 ( ( plus @ ( suc @ N ) @ M )
% 1.57/1.28 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(plus_assoc,axiom,
% 1.57/1.28 ! [M1: nat,M2: nat,M3: nat] :
% 1.57/1.28 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 1.57/1.28 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(list_app_assoc_indinst,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ! [M2: nat,L2: list @ A,M3: nat,L3: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M2 @ L2 @ L2 )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ M3 @ L3 @ L3 )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ ( plus @ zero @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ zero @ ( plus @ M2 @ M3 ) @ ( nil @ A ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ zero @ M2 ) @ M3 @ ( app @ A @ zero @ M2 @ ( nil @ A ) @ L2 ) @ L3 ) )
% 1.57/1.28 => ( ! [M: nat,X: A,L: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M @ L @ L )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ ( plus @ ( plus @ M2 @ M3 ) @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ A @ M @ X @ L ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ A @ ( suc @ M ) @ M2 @ ( cons @ A @ M @ X @ L ) @ L2 ) @ L3 ) ) ) )
% 1.57/1.28 => ! [M: nat,L: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M @ L @ L )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( plus @ ( plus @ M2 @ M3 ) @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) ) ) ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(list_app_assoc_base,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ! [M2: nat,L2: list @ A,M3: nat,L3: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M2 @ L2 @ L2 )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ M3 @ L3 @ L3 )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( plus @ zero @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ zero @ ( plus @ M2 @ M3 ) @ ( nil @ A ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ zero @ M2 ) @ M3 @ ( app @ A @ zero @ M2 @ ( nil @ A ) @ L2 ) @ L3 ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(list_app_assoc_indstep,axiom,
% 1.57/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.57/1.28 ( ( isPer @ A @ AStar )
% 1.57/1.28 => ! [M2: nat,L2: list @ A,M3: nat,L3: list @ A,M: nat,X: A,L: list @ A] :
% 1.57/1.28 ( ( listStar @ A @ AStar @ M2 @ L2 @ L2 )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ M3 @ L3 @ L3 )
% 1.57/1.28 => ( ( X = X )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ M @ L @ L )
% 1.57/1.28 => ( ( listStar @ A @ AStar @ ( plus @ ( plus @ M2 @ M3 ) @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ M @ M2 ) @ M3 @ ( app @ A @ M @ M2 @ L @ L2 ) @ L3 ) )
% 1.57/1.28 => ( listStar @ A @ AStar @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ A @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ A @ M @ X @ L ) @ ( app @ A @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ A @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ A @ ( suc @ M ) @ M2 @ ( cons @ A @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ) ) ) ) ) ).
% 1.57/1.28
% 1.57/1.28 thf(list_app_assoc,conjecture,
% 1.57/1.28 ! [M: nat,L: list @ ( list @ ( list @ nat ) ),M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) )] :
% 1.57/1.28 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 1.57/1.28 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 1.57/1.28 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 1.57/1.28 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( plus @ M2 @ M3 ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( plus @ M @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat ) ) @ M @ M2 @ L @ L2 ) @ L3 ) ) ) ) ) ).
% 1.57/1.28 ------------------------
% 1.57/1.29 % (22659)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_22378 for (2999ds/27Mi)
% 1.57/1.29 % (22661)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_22378 for (2999ds/2Mi)
% 1.57/1.29 % (22661)Instruction limit reached!
% 1.57/1.29 % (22661)------------------------------
% 1.57/1.29 % (22661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.57/1.29 % (22661)Termination reason: Unknown
% 1.57/1.29 % (22661)Termination phase: shuffling
% 1.57/1.29
% 1.57/1.29 % (22661)Memory used [KB]: 1023
% 1.57/1.29 % (22661)Time elapsed: 0.002 s
% 1.57/1.29 % (22661)Instructions burned: 2 (million)
% 1.57/1.29 % (22661)------------------------------
% 1.57/1.29 % (22661)------------------------------
% 1.71/1.30 % (22657)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/183Mi)
% 1.71/1.30 % (22658)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_22378 for (2999ds/4Mi)
% 1.71/1.30 % (22660)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/2Mi)
% 1.71/1.30 % (22663)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/18Mi)
% 1.71/1.30 % (22662)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_22378 for (2999ds/275Mi)
% 1.71/1.30 % (22658)Instruction limit reached!
% 1.71/1.30 % (22658)------------------------------
% 1.71/1.30 % (22658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.30 % (22658)Termination reason: Unknown
% 1.71/1.30 % (22658)Termination phase: shuffling
% 1.71/1.30
% 1.71/1.30 % (22658)Memory used [KB]: 1023
% 1.71/1.30 % (22658)Time elapsed: 0.004 s
% 1.71/1.30 % (22658)Instructions burned: 4 (million)
% 1.71/1.30 % (22658)------------------------------
% 1.71/1.30 % (22658)------------------------------
% 1.71/1.30 % (22659)Instruction limit reached!
% 1.71/1.30 % (22659)------------------------------
% 1.71/1.30 % (22659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.30 % (22659)Termination reason: Unknown
% 1.71/1.30 % (22659)Termination phase: Saturation
% 1.71/1.30
% 1.71/1.30 % (22659)Memory used [KB]: 5756
% 1.71/1.30 % (22659)Time elapsed: 0.011 s
% 1.71/1.30 % (22659)Instructions burned: 29 (million)
% 1.71/1.30 % (22659)------------------------------
% 1.71/1.30 % (22659)------------------------------
% 1.71/1.30 % (22660)Instruction limit reached!
% 1.71/1.30 % (22660)------------------------------
% 1.71/1.30 % (22660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.30 % (22660)Termination reason: Unknown
% 1.71/1.30 % (22660)Termination phase: shuffling
% 1.71/1.30
% 1.71/1.30 % (22660)Memory used [KB]: 1023
% 1.71/1.30 % (22660)Time elapsed: 0.004 s
% 1.71/1.30 % (22660)Instructions burned: 3 (million)
% 1.71/1.30 % (22660)------------------------------
% 1.71/1.30 % (22660)------------------------------
% 1.71/1.30 % (22667)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/3Mi)
% 1.71/1.30 % (22667)Instruction limit reached!
% 1.71/1.30 % (22667)------------------------------
% 1.71/1.30 % (22667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.30 % (22667)Termination reason: Unknown
% 1.71/1.30 % (22667)Termination phase: shuffling
% 1.71/1.30
% 1.71/1.30 % (22667)Memory used [KB]: 1023
% 1.71/1.30 % (22667)Time elapsed: 0.002 s
% 1.71/1.30 % (22667)Instructions burned: 4 (million)
% 1.71/1.30 % (22667)------------------------------
% 1.71/1.30 % (22667)------------------------------
% 1.71/1.31 % (22663)Instruction limit reached!
% 1.71/1.31 % (22663)------------------------------
% 1.71/1.31 % (22663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.31 % (22663)Termination reason: Unknown
% 1.71/1.31 % (22663)Termination phase: Property scanning
% 1.71/1.31
% 1.71/1.31 % (22663)Memory used [KB]: 1151
% 1.71/1.31 % (22663)Time elapsed: 0.012 s
% 1.71/1.31 % (22663)Instructions burned: 18 (million)
% 1.71/1.31 % (22663)------------------------------
% 1.71/1.31 % (22663)------------------------------
% 1.71/1.31 % (22671)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_22378 for (2999ds/15Mi)
% 1.71/1.31 % (22674)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_22378 for (2999ds/1041Mi)
% 1.71/1.32 % (22671)Instruction limit reached!
% 1.71/1.32 % (22671)------------------------------
% 1.71/1.32 % (22671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.32 % (22671)Termination reason: Unknown
% 1.71/1.32 % (22671)Termination phase: Property scanning
% 1.71/1.32
% 1.71/1.32 % (22671)Memory used [KB]: 1151
% 1.71/1.32 % (22671)Time elapsed: 0.006 s
% 1.71/1.32 % (22671)Instructions burned: 17 (million)
% 1.71/1.32 % (22671)------------------------------
% 1.71/1.32 % (22671)------------------------------
% 1.71/1.32 % (22662)Refutation not found, incomplete strategy
% 1.71/1.32 % (22662)------------------------------
% 1.71/1.32 % (22662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.32 % (22662)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.32
% 1.71/1.32
% 1.71/1.32 % (22662)Memory used [KB]: 5756
% 1.71/1.32 % (22662)Time elapsed: 0.018 s
% 1.71/1.32 % (22662)Instructions burned: 27 (million)
% 1.71/1.32 % (22662)------------------------------
% 1.71/1.32 % (22662)------------------------------
% 1.71/1.32 % (22670)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_22378 for (2999ds/37Mi)
% 1.71/1.32 % (22673)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_22378 for (2999ds/3Mi)
% 1.71/1.32 % (22673)Instruction limit reached!
% 1.71/1.32 % (22673)------------------------------
% 1.71/1.32 % (22673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.32 % (22673)Termination reason: Unknown
% 1.71/1.32 % (22673)Termination phase: shuffling
% 1.71/1.32
% 1.71/1.32 % (22673)Memory used [KB]: 1023
% 1.71/1.32 % (22673)Time elapsed: 0.004 s
% 1.71/1.32 % (22673)Instructions burned: 4 (million)
% 1.71/1.32 % (22673)------------------------------
% 1.71/1.32 % (22673)------------------------------
% 1.71/1.32 % (22680)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/16Mi)
% 1.71/1.33 % (22676)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/7Mi)
% 1.71/1.33 % (22680)Instruction limit reached!
% 1.71/1.33 % (22680)------------------------------
% 1.71/1.33 % (22680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.33 % (22680)Termination reason: Unknown
% 1.71/1.33 % (22680)Termination phase: Property scanning
% 1.71/1.33
% 1.71/1.33 % (22680)Memory used [KB]: 1151
% 1.71/1.33 % (22680)Time elapsed: 0.006 s
% 1.71/1.33 % (22680)Instructions burned: 18 (million)
% 1.71/1.33 % (22680)------------------------------
% 1.71/1.33 % (22680)------------------------------
% 1.71/1.33 % (22676)Instruction limit reached!
% 1.71/1.33 % (22676)------------------------------
% 1.71/1.33 % (22676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.33 % (22676)Termination reason: Unknown
% 1.71/1.33 % (22676)Termination phase: shuffling
% 1.71/1.33
% 1.71/1.33 % (22676)Memory used [KB]: 1023
% 1.71/1.33 % (22676)Time elapsed: 0.006 s
% 1.71/1.33 % (22676)Instructions burned: 7 (million)
% 1.71/1.33 % (22676)------------------------------
% 1.71/1.33 % (22676)------------------------------
% 1.71/1.33 % (22670)Instruction limit reached!
% 1.71/1.33 % (22670)------------------------------
% 1.71/1.33 % (22670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.33 % (22670)Termination reason: Unknown
% 1.71/1.33 % (22670)Termination phase: Saturation
% 1.71/1.33
% 1.71/1.33 % (22670)Memory used [KB]: 5756
% 1.71/1.33 % (22670)Time elapsed: 0.017 s
% 1.71/1.33 % (22670)Instructions burned: 38 (million)
% 1.71/1.33 % (22670)------------------------------
% 1.71/1.33 % (22670)------------------------------
% 1.71/1.33 % (22681)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_22378 for (2999ds/3Mi)
% 1.71/1.34 % (22681)Instruction limit reached!
% 1.71/1.34 % (22681)------------------------------
% 1.71/1.34 % (22681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.34 % (22681)Termination reason: Unknown
% 1.71/1.34 % (22681)Termination phase: shuffling
% 1.71/1.34
% 1.71/1.34 % (22681)Memory used [KB]: 1023
% 1.71/1.34 % (22681)Time elapsed: 0.004 s
% 1.71/1.34 % (22681)Instructions burned: 4 (million)
% 1.71/1.34 % (22681)------------------------------
% 1.71/1.34 % (22681)------------------------------
% 1.71/1.34 % (22686)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_22378 for (2999ds/3Mi)
% 1.71/1.34 % (22690)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/7Mi)
% 1.71/1.34 % (22686)Instruction limit reached!
% 1.71/1.34 % (22686)------------------------------
% 1.71/1.34 % (22686)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.34 % (22686)Termination reason: Unknown
% 1.71/1.34 % (22686)Termination phase: shuffling
% 1.71/1.34
% 1.71/1.34 % (22686)Memory used [KB]: 1023
% 1.71/1.34 % (22686)Time elapsed: 0.004 s
% 1.71/1.34 % (22686)Instructions burned: 4 (million)
% 1.71/1.34 % (22686)------------------------------
% 1.71/1.34 % (22686)------------------------------
% 1.71/1.34 % (22690)Instruction limit reached!
% 1.71/1.34 % (22690)------------------------------
% 1.71/1.34 % (22690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.34 % (22690)Termination reason: Unknown
% 1.71/1.34 % (22690)Termination phase: shuffling
% 1.71/1.34
% 1.71/1.34 % (22690)Memory used [KB]: 1023
% 1.71/1.34 % (22690)Time elapsed: 0.003 s
% 1.71/1.34 % (22690)Instructions burned: 7 (million)
% 1.71/1.34 % (22690)------------------------------
% 1.71/1.34 % (22690)------------------------------
% 1.71/1.34 % (22693)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/4Mi)
% 1.71/1.34 % (22693)Instruction limit reached!
% 1.71/1.34 % (22693)------------------------------
% 1.71/1.34 % (22693)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.34 % (22693)Termination reason: Unknown
% 1.71/1.34 % (22693)Termination phase: shuffling
% 1.71/1.34
% 1.71/1.34 % (22693)Memory used [KB]: 1023
% 1.71/1.34 % (22693)Time elapsed: 0.003 s
% 1.71/1.34 % (22693)Instructions burned: 6 (million)
% 1.71/1.34 % (22693)------------------------------
% 1.71/1.34 % (22693)------------------------------
% 1.71/1.35 % (22691)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/3Mi)
% 1.71/1.35 % (22691)Instruction limit reached!
% 1.71/1.35 % (22691)------------------------------
% 1.71/1.35 % (22691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.35 % (22691)Termination reason: Unknown
% 1.71/1.35 % (22691)Termination phase: shuffling
% 1.71/1.35
% 1.71/1.35 % (22691)Memory used [KB]: 1023
% 1.71/1.35 % (22691)Time elapsed: 0.004 s
% 1.71/1.35 % (22691)Instructions burned: 4 (million)
% 1.71/1.35 % (22691)------------------------------
% 1.71/1.35 % (22691)------------------------------
% 1.71/1.35 % (22698)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/6Mi)
% 1.71/1.35 % (22696)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/18Mi)
% 1.71/1.35 % (22698)Instruction limit reached!
% 1.71/1.35 % (22698)------------------------------
% 1.71/1.35 % (22698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.35 % (22698)Termination reason: Unknown
% 1.71/1.35 % (22698)Termination phase: shuffling
% 1.71/1.35
% 1.71/1.35 % (22698)Memory used [KB]: 1023
% 1.71/1.35 % (22698)Time elapsed: 0.003 s
% 1.71/1.35 % (22698)Instructions burned: 7 (million)
% 1.71/1.35 % (22698)------------------------------
% 1.71/1.35 % (22698)------------------------------
% 1.71/1.35 % (22700)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_22378 for (2999ds/902Mi)
% 1.71/1.36 % (22697)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/710Mi)
% 1.71/1.36 % (22696)Instruction limit reached!
% 1.71/1.36 % (22696)------------------------------
% 1.71/1.36 % (22696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.36 % (22696)Termination reason: Unknown
% 1.71/1.36 % (22696)Termination phase: Property scanning
% 1.71/1.36
% 1.71/1.36 % (22696)Memory used [KB]: 1151
% 1.71/1.36 % (22696)Time elapsed: 0.010 s
% 1.71/1.36 % (22696)Instructions burned: 20 (million)
% 1.71/1.36 % (22696)------------------------------
% 1.71/1.36 % (22696)------------------------------
% 1.71/1.36 % (22704)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/5Mi)
% 1.71/1.36 % (22704)Instruction limit reached!
% 1.71/1.36 % (22704)------------------------------
% 1.71/1.36 % (22704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.36 % (22704)Termination reason: Unknown
% 1.71/1.36 % (22704)Termination phase: Property scanning
% 1.71/1.36
% 1.71/1.36 % (22704)Memory used [KB]: 1151
% 1.71/1.36 % (22704)Time elapsed: 0.003 s
% 1.71/1.36 % (22704)Instructions burned: 8 (million)
% 1.71/1.36 % (22704)------------------------------
% 1.71/1.36 % (22704)------------------------------
% 1.71/1.37 % (22700)Refutation not found, incomplete strategy
% 1.71/1.37 % (22700)------------------------------
% 1.71/1.37 % (22700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.37 % (22700)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.37
% 1.71/1.37
% 1.71/1.37 % (22700)Memory used [KB]: 5756
% 1.71/1.37 % (22700)Time elapsed: 0.012 s
% 1.71/1.37 % (22700)Instructions burned: 38 (million)
% 1.71/1.37 % (22700)------------------------------
% 1.71/1.37 % (22700)------------------------------
% 1.71/1.37 % (22703)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_22378 for (2999ds/21Mi)
% 1.71/1.37 % (22657)Instruction limit reached!
% 1.71/1.37 % (22657)------------------------------
% 1.71/1.37 % (22657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.37 % (22657)Termination reason: Unknown
% 1.71/1.37 % (22657)Termination phase: Saturation
% 1.71/1.37
% 1.71/1.37 % (22657)Memory used [KB]: 6652
% 1.71/1.37 % (22657)Time elapsed: 0.071 s
% 1.71/1.37 % (22657)Instructions burned: 184 (million)
% 1.71/1.37 % (22657)------------------------------
% 1.71/1.37 % (22657)------------------------------
% 1.71/1.37 % (22708)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_22378 for (2999ds/6Mi)
% 1.71/1.37 % (22708)Instruction limit reached!
% 1.71/1.37 % (22708)------------------------------
% 1.71/1.37 % (22708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.37 % (22708)Termination reason: Unknown
% 1.71/1.37 % (22708)Termination phase: shuffling
% 1.71/1.37
% 1.71/1.37 % (22708)Memory used [KB]: 1023
% 1.71/1.37 % (22708)Time elapsed: 0.003 s
% 1.71/1.37 % (22708)Instructions burned: 7 (million)
% 1.71/1.37 % (22708)------------------------------
% 1.71/1.37 % (22708)------------------------------
% 1.71/1.37 % (22712)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/377Mi)
% 1.71/1.37 % (22714)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_22378 for (2999ds/779Mi)
% 1.71/1.38 % (22716)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_22378 for (2999ds/19Mi)
% 1.71/1.38 % (22703)Instruction limit reached!
% 1.71/1.38 % (22703)------------------------------
% 1.71/1.38 % (22703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.38 % (22703)Termination reason: Unknown
% 1.71/1.38 % (22703)Termination phase: Property scanning
% 1.71/1.38
% 1.71/1.38 % (22703)Memory used [KB]: 1151
% 1.71/1.38 % (22703)Time elapsed: 0.013 s
% 1.71/1.38 % (22703)Instructions burned: 21 (million)
% 1.71/1.38 % (22703)------------------------------
% 1.71/1.38 % (22703)------------------------------
% 1.71/1.38 % (22721)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/879Mi)
% 1.71/1.38 % (22716)Instruction limit reached!
% 1.71/1.38 % (22716)------------------------------
% 1.71/1.38 % (22716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.38 % (22716)Termination reason: Unknown
% 1.71/1.38 % (22716)Termination phase: Saturation
% 1.71/1.38
% 1.71/1.38 % (22716)Memory used [KB]: 5628
% 1.71/1.38 % (22716)Time elapsed: 0.007 s
% 1.71/1.38 % (22716)Instructions burned: 20 (million)
% 1.71/1.38 % (22716)------------------------------
% 1.71/1.38 % (22716)------------------------------
% 1.71/1.39 % (22731)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/3Mi)
% 1.71/1.39 % (22731)Instruction limit reached!
% 1.71/1.39 % (22731)------------------------------
% 1.71/1.39 % (22731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.39 % (22731)Termination reason: Unknown
% 1.71/1.39 % (22731)Termination phase: shuffling
% 1.71/1.39
% 1.71/1.39 % (22731)Memory used [KB]: 1023
% 1.71/1.39 % (22731)Time elapsed: 0.002 s
% 1.71/1.39 % (22731)Instructions burned: 4 (million)
% 1.71/1.39 % (22731)------------------------------
% 1.71/1.39 % (22731)------------------------------
% 1.71/1.39 % (22726)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_22378 for (2999ds/17Mi)
% 1.71/1.40 % (22726)Instruction limit reached!
% 1.71/1.40 % (22726)------------------------------
% 1.71/1.40 % (22726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.40 % (22726)Termination reason: Unknown
% 1.71/1.40 % (22726)Termination phase: Property scanning
% 1.71/1.40
% 1.71/1.40 % (22726)Memory used [KB]: 1151
% 1.71/1.40 % (22726)Time elapsed: 0.010 s
% 1.71/1.40 % (22726)Instructions burned: 19 (million)
% 1.71/1.40 % (22726)------------------------------
% 1.71/1.40 % (22726)------------------------------
% 1.71/1.40 % (22739)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_22378 for (2998ds/30Mi)
% 1.71/1.41 % (22739)Instruction limit reached!
% 1.71/1.41 % (22739)------------------------------
% 1.71/1.41 % (22739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41 % (22739)Termination reason: Unknown
% 1.71/1.41 % (22739)Termination phase: Saturation
% 1.71/1.41
% 1.71/1.41 % (22739)Memory used [KB]: 5756
% 1.71/1.41 % (22739)Time elapsed: 0.010 s
% 1.71/1.41 % (22739)Instructions burned: 31 (million)
% 1.71/1.41 % (22739)------------------------------
% 1.71/1.41 % (22739)------------------------------
% 1.71/1.41 % (22746)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_22378 for (2998ds/127Mi)
% 1.71/1.42 % (22749)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_22378 for (2998ds/100Mi)
% 1.71/1.45 % (22746)Instruction limit reached!
% 1.71/1.45 % (22746)------------------------------
% 1.71/1.45 % (22746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.45 % (22746)Termination reason: Unknown
% 1.71/1.45 % (22746)Termination phase: Saturation
% 1.71/1.45
% 1.71/1.45 % (22746)Memory used [KB]: 6012
% 1.71/1.45 % (22746)Time elapsed: 0.038 s
% 1.71/1.45 % (22746)Instructions burned: 127 (million)
% 1.71/1.45 % (22746)------------------------------
% 1.71/1.45 % (22746)------------------------------
% 1.71/1.45 % (22749)Instruction limit reached!
% 1.71/1.45 % (22749)------------------------------
% 1.71/1.45 % (22749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.45 % (22749)Termination reason: Unknown
% 1.71/1.45 % (22749)Termination phase: Saturation
% 1.71/1.45
% 1.71/1.45 % (22749)Memory used [KB]: 5884
% 1.71/1.45 % (22749)Time elapsed: 0.030 s
% 1.71/1.45 % (22749)Instructions burned: 100 (million)
% 1.71/1.45 % (22749)------------------------------
% 1.71/1.45 % (22749)------------------------------
% 1.71/1.46 % (22755)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_22378 for (2998ds/3Mi)
% 1.71/1.46 % (22755)Instruction limit reached!
% 1.71/1.46 % (22755)------------------------------
% 1.71/1.46 % (22755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.46 % (22755)Termination reason: Unknown
% 1.71/1.46 % (22755)Termination phase: shuffling
% 1.71/1.46
% 1.71/1.46 % (22755)Memory used [KB]: 1023
% 1.71/1.46 % (22755)Time elapsed: 0.002 s
% 1.71/1.46 % (22755)Instructions burned: 4 (million)
% 1.71/1.46 % (22755)------------------------------
% 1.71/1.46 % (22755)------------------------------
% 1.71/1.46 % (22756)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_22378 for (2998ds/20Mi)
% 1.71/1.47 % (22756)Instruction limit reached!
% 1.71/1.47 % (22756)------------------------------
% 1.71/1.47 % (22756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.47 % (22756)Termination reason: Unknown
% 1.71/1.47 % (22756)Termination phase: Saturation
% 1.71/1.47
% 1.71/1.47 % (22756)Memory used [KB]: 5628
% 1.71/1.47 % (22756)Time elapsed: 0.007 s
% 1.71/1.47 % (22756)Instructions burned: 20 (million)
% 1.71/1.47 % (22756)------------------------------
% 1.71/1.47 % (22756)------------------------------
% 1.71/1.47 % (22757)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_22378 for (2998ds/86Mi)
% 1.71/1.47 % (22758)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_22378 for (2998ds/107Mi)
% 1.71/1.49 % (22712)Instruction limit reached!
% 1.71/1.49 % (22712)------------------------------
% 1.71/1.49 % (22712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.49 % (22712)Termination reason: Unknown
% 1.71/1.49 % (22712)Termination phase: Saturation
% 1.71/1.49
% 1.71/1.49 % (22712)Memory used [KB]: 6396
% 1.71/1.49 % (22712)Time elapsed: 0.114 s
% 1.71/1.49 % (22712)Instructions burned: 380 (million)
% 1.71/1.49 % (22712)------------------------------
% 1.71/1.49 % (22712)------------------------------
% 1.71/1.49 % (22757)Instruction limit reached!
% 1.71/1.49 % (22757)------------------------------
% 1.71/1.49 % (22757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.49 % (22757)Termination reason: Unknown
% 1.71/1.49 % (22757)Termination phase: Saturation
% 1.71/1.49
% 1.71/1.49 % (22757)Memory used [KB]: 6268
% 1.71/1.49 % (22757)Time elapsed: 0.027 s
% 1.71/1.49 % (22757)Instructions burned: 87 (million)
% 1.71/1.49 % (22757)------------------------------
% 1.71/1.49 % (22757)------------------------------
% 1.71/1.50 % (22759)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_22378 for (2997ds/39Mi)
% 1.71/1.50 % (22760)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_22378 for (2997ds/448Mi)
% 1.71/1.51 % (22759)Instruction limit reached!
% 1.71/1.51 % (22759)------------------------------
% 1.71/1.51 % (22759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.51 % (22759)Termination reason: Unknown
% 1.71/1.51 % (22759)Termination phase: Saturation
% 1.71/1.51
% 1.71/1.51 % (22759)Memory used [KB]: 5756
% 1.71/1.51 % (22759)Time elapsed: 0.012 s
% 1.71/1.51 % (22759)Instructions burned: 39 (million)
% 1.71/1.51 % (22759)------------------------------
% 1.71/1.51 % (22759)------------------------------
% 1.71/1.51 % (22758)Instruction limit reached!
% 1.71/1.51 % (22758)------------------------------
% 1.71/1.51 % (22758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.51 % (22758)Termination reason: Unknown
% 1.71/1.51 % (22758)Termination phase: Saturation
% 1.71/1.51
% 1.71/1.51 % (22758)Memory used [KB]: 6012
% 1.71/1.51 % (22758)Time elapsed: 0.033 s
% 1.71/1.51 % (22758)Instructions burned: 108 (million)
% 1.71/1.51 % (22758)------------------------------
% 1.71/1.51 % (22758)------------------------------
% 1.71/1.52 % (22761)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_22378 for (2997ds/46Mi)
% 1.71/1.52 % (22762)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_22378 for (2997ds/98Mi)
% 1.71/1.53 % (22761)Instruction limit reached!
% 1.71/1.53 % (22761)------------------------------
% 1.71/1.53 % (22761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (22761)Termination reason: Unknown
% 1.71/1.53 % (22761)Termination phase: Saturation
% 1.71/1.53
% 1.71/1.53 % (22761)Memory used [KB]: 5884
% 1.71/1.53 % (22761)Time elapsed: 0.015 s
% 1.71/1.53 % (22761)Instructions burned: 47 (million)
% 1.71/1.53 % (22761)------------------------------
% 1.71/1.53 % (22761)------------------------------
% 1.71/1.54 % (22763)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_22378 for (2997ds/507Mi)
% 1.71/1.55 % (22762)Instruction limit reached!
% 1.71/1.55 % (22762)------------------------------
% 1.71/1.55 % (22762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (22762)Termination reason: Unknown
% 1.71/1.55 % (22762)Termination phase: Saturation
% 1.71/1.55
% 1.71/1.55 % (22762)Memory used [KB]: 1535
% 1.71/1.55 % (22762)Time elapsed: 0.031 s
% 1.71/1.55 % (22762)Instructions burned: 100 (million)
% 1.71/1.55 % (22762)------------------------------
% 1.71/1.55 % (22762)------------------------------
% 1.71/1.56 % (22764)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_22378 for (2997ds/149Mi)
% 1.71/1.56 % (22763)Refutation not found, incomplete strategy
% 1.71/1.56 % (22763)------------------------------
% 1.71/1.56 % (22763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.56 % (22763)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.56
% 1.71/1.56
% 1.71/1.56 % (22763)Memory used [KB]: 5884
% 1.71/1.56 % (22763)Time elapsed: 0.021 s
% 1.71/1.56 % (22763)Instructions burned: 69 (million)
% 1.71/1.56 % (22763)------------------------------
% 1.71/1.56 % (22763)------------------------------
% 1.71/1.57 % (22765)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_22378 for (2997ds/39Mi)
% 1.71/1.57 % (22697)Instruction limit reached!
% 1.71/1.57 % (22697)------------------------------
% 1.71/1.57 % (22697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.57 % (22697)Termination reason: Unknown
% 1.71/1.57 % (22697)Termination phase: Saturation
% 1.71/1.57
% 1.71/1.57 % (22697)Memory used [KB]: 7036
% 1.71/1.57 % (22697)Time elapsed: 0.217 s
% 1.71/1.57 % (22697)Instructions burned: 712 (million)
% 1.71/1.57 % (22697)------------------------------
% 1.71/1.57 % (22697)------------------------------
% 1.71/1.58 % (22765)Instruction limit reached!
% 1.71/1.58 % (22765)------------------------------
% 1.71/1.58 % (22765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.58 % (22765)Termination reason: Unknown
% 1.71/1.58 % (22765)Termination phase: Saturation
% 1.71/1.58
% 1.71/1.58 % (22765)Memory used [KB]: 5756
% 1.71/1.58 % (22765)Time elapsed: 0.012 s
% 1.71/1.58 % (22765)Instructions burned: 39 (million)
% 1.71/1.58 % (22765)------------------------------
% 1.71/1.58 % (22765)------------------------------
% 1.71/1.58 % (22766)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_22378 for (2997ds/6Mi)
% 1.71/1.58 % (22766)Instruction limit reached!
% 1.71/1.58 % (22766)------------------------------
% 1.71/1.58 % (22766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.58 % (22766)Termination reason: Unknown
% 1.71/1.58 % (22766)Termination phase: Property scanning
% 1.71/1.58
% 1.71/1.58 % (22766)Memory used [KB]: 1151
% 1.71/1.58 % (22766)Time elapsed: 0.003 s
% 1.71/1.58 % (22766)Instructions burned: 8 (million)
% 1.71/1.58 % (22766)------------------------------
% 1.71/1.58 % (22766)------------------------------
% 1.71/1.59 % (22767)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_22378 for (2997ds/1087Mi)
% 1.71/1.59 % (22768)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/47Mi)
% 1.71/1.60 % (22714)Instruction limit reached!
% 1.71/1.60 % (22714)------------------------------
% 1.71/1.60 % (22714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.60 % (22714)Termination reason: Unknown
% 1.71/1.60 % (22714)Termination phase: Saturation
% 1.71/1.60
% 1.71/1.60 % (22714)Memory used [KB]: 7036
% 1.71/1.60 % (22714)Time elapsed: 0.222 s
% 1.71/1.60 % (22714)Instructions burned: 782 (million)
% 1.71/1.60 % (22714)------------------------------
% 1.71/1.60 % (22714)------------------------------
% 1.71/1.60 % (22764)Instruction limit reached!
% 1.71/1.60 % (22764)------------------------------
% 1.71/1.60 % (22764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.60 % (22764)Termination reason: Unknown
% 1.71/1.60 % (22764)Termination phase: Saturation
% 1.71/1.60
% 1.71/1.60 % (22764)Memory used [KB]: 6268
% 1.71/1.60 % (22764)Time elapsed: 0.048 s
% 1.71/1.60 % (22764)Instructions burned: 150 (million)
% 1.71/1.60 % (22764)------------------------------
% 1.71/1.60 % (22764)------------------------------
% 1.71/1.61 % (22769)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_22378 for (2996ds/44Mi)
% 1.71/1.61 % (22768)Instruction limit reached!
% 1.71/1.61 % (22768)------------------------------
% 1.71/1.61 % (22768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.61 % (22768)Termination reason: Unknown
% 1.71/1.61 % (22768)Termination phase: Saturation
% 1.71/1.61
% 1.71/1.61 % (22768)Memory used [KB]: 5756
% 1.71/1.61 % (22768)Time elapsed: 0.016 s
% 1.71/1.61 % (22768)Instructions burned: 49 (million)
% 1.71/1.61 % (22768)------------------------------
% 1.71/1.61 % (22768)------------------------------
% 1.71/1.61 % (22770)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_22378 for (2996ds/432Mi)
% 1.71/1.62 % (22771)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/62Mi)
% 1.71/1.62 % (22769)Instruction limit reached!
% 1.71/1.62 % (22769)------------------------------
% 1.71/1.62 % (22769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.62 % (22769)Termination reason: Unknown
% 1.71/1.62 % (22769)Termination phase: Saturation
% 1.71/1.62
% 1.71/1.62 % (22769)Memory used [KB]: 1279
% 1.71/1.62 % (22769)Time elapsed: 0.014 s
% 1.71/1.62 % (22769)Instructions burned: 44 (million)
% 1.71/1.62 % (22769)------------------------------
% 1.71/1.62 % (22769)------------------------------
% 1.71/1.62 % (22674)Instruction limit reached!
% 1.71/1.62 % (22674)------------------------------
% 1.71/1.62 % (22674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.62 % (22674)Termination reason: Unknown
% 1.71/1.62 % (22674)Termination phase: Saturation
% 1.71/1.62
% 1.71/1.62 % (22674)Memory used [KB]: 7419
% 1.71/1.62 % (22674)Time elapsed: 0.309 s
% 1.71/1.62 % (22674)Instructions burned: 1042 (million)
% 1.71/1.62 % (22674)------------------------------
% 1.71/1.62 % (22674)------------------------------
% 1.71/1.63 % (22772)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_22378 for (2996ds/31Mi)
% 1.71/1.63 % (22773)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/96Mi)
% 1.71/1.64 % (22771)Instruction limit reached!
% 1.71/1.64 % (22771)------------------------------
% 1.71/1.64 % (22771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (22771)Termination reason: Unknown
% 1.71/1.64 % (22771)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (22771)Memory used [KB]: 5884
% 1.71/1.64 % (22771)Time elapsed: 0.020 s
% 1.71/1.64 % (22771)Instructions burned: 63 (million)
% 1.71/1.64 % (22771)------------------------------
% 1.71/1.64 % (22771)------------------------------
% 1.71/1.64 % (22772)Instruction limit reached!
% 1.71/1.64 % (22772)------------------------------
% 1.71/1.64 % (22772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (22772)Termination reason: Unknown
% 1.71/1.64 % (22772)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (22772)Memory used [KB]: 5756
% 1.71/1.64 % (22772)Time elapsed: 0.010 s
% 1.71/1.64 % (22772)Instructions burned: 31 (million)
% 1.71/1.64 % (22772)------------------------------
% 1.71/1.64 % (22772)------------------------------
% 1.71/1.64 % (22760)Instruction limit reached!
% 1.71/1.64 % (22760)------------------------------
% 1.71/1.64 % (22760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (22760)Termination reason: Unknown
% 1.71/1.64 % (22760)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (22760)Memory used [KB]: 6396
% 1.71/1.64 % (22760)Time elapsed: 0.135 s
% 1.71/1.64 % (22760)Instructions burned: 450 (million)
% 1.71/1.64 % (22760)------------------------------
% 1.71/1.64 % (22760)------------------------------
% 1.71/1.64 % (22721)Instruction limit reached!
% 1.71/1.64 % (22721)------------------------------
% 1.71/1.64 % (22721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (22721)Termination reason: Unknown
% 1.71/1.64 % (22721)Termination phase: Saturation
% 1.71/1.64
% 1.71/1.64 % (22721)Memory used [KB]: 7291
% 1.71/1.64 % (22721)Time elapsed: 0.263 s
% 1.71/1.64 % (22721)Instructions burned: 879 (million)
% 1.71/1.64 % (22721)------------------------------
% 1.71/1.64 % (22721)------------------------------
% 1.71/1.65 % (22774)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_22378 for (2996ds/453Mi)
% 1.71/1.65 % (22775)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_22378 for (2996ds/71Mi)
% 1.71/1.65 % (22776)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/83Mi)
% 1.71/1.65 % (22777)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/11Mi)
% 1.71/1.66 % (22777)Instruction limit reached!
% 1.71/1.66 % (22777)------------------------------
% 1.71/1.66 % (22777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.66 % (22777)Termination reason: Unknown
% 1.71/1.66 % (22777)Termination phase: Preprocessing 1
% 1.71/1.66
% 1.71/1.66 % (22777)Memory used [KB]: 1151
% 1.71/1.66 % (22777)Time elapsed: 0.004 s
% 1.71/1.66 % (22777)Instructions burned: 11 (million)
% 1.71/1.66 % (22777)------------------------------
% 1.71/1.66 % (22777)------------------------------
% 1.71/1.66 % (22773)Instruction limit reached!
% 1.71/1.66 % (22773)------------------------------
% 1.71/1.66 % (22773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.66 % (22773)Termination reason: Unknown
% 1.71/1.66 % (22773)Termination phase: Saturation
% 1.71/1.66
% 1.71/1.66 % (22773)Memory used [KB]: 5884
% 1.71/1.66 % (22773)Time elapsed: 0.031 s
% 1.71/1.66 % (22773)Instructions burned: 99 (million)
% 1.71/1.66 % (22773)------------------------------
% 1.71/1.66 % (22773)------------------------------
% 1.71/1.67 % (22778)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_22378 for (2996ds/41Mi)
% 1.71/1.67 % (22775)Instruction limit reached!
% 1.71/1.67 % (22775)------------------------------
% 1.71/1.67 % (22775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.67 % (22775)Termination reason: Unknown
% 1.71/1.67 % (22775)Termination phase: Saturation
% 1.71/1.67
% 1.71/1.67 % (22775)Memory used [KB]: 5756
% 1.71/1.67 % (22775)Time elapsed: 0.022 s
% 1.71/1.67 % (22775)Instructions burned: 74 (million)
% 1.71/1.67 % (22775)------------------------------
% 1.71/1.67 % (22775)------------------------------
% 1.71/1.67 % (22779)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/6Mi)
% 1.71/1.67 % (22779)Instruction limit reached!
% 1.71/1.67 % (22779)------------------------------
% 1.71/1.67 % (22779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.67 % (22779)Termination reason: Unknown
% 1.71/1.67 % (22779)Termination phase: shuffling
% 1.71/1.67
% 1.71/1.67 % (22779)Memory used [KB]: 1023
% 1.71/1.67 % (22779)Time elapsed: 0.003 s
% 1.71/1.67 % (22779)Instructions burned: 7 (million)
% 1.71/1.67 % (22779)------------------------------
% 1.71/1.67 % (22779)------------------------------
% 1.71/1.67 % (22776)Instruction limit reached!
% 1.71/1.67 % (22776)------------------------------
% 1.71/1.67 % (22776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.67 % (22776)Termination reason: Unknown
% 1.71/1.67 % (22776)Termination phase: Saturation
% 1.71/1.67
% 1.71/1.67 % (22776)Memory used [KB]: 6012
% 1.71/1.67 % (22776)Time elapsed: 0.026 s
% 1.71/1.67 % (22776)Instructions burned: 83 (million)
% 1.71/1.67 % (22776)------------------------------
% 1.71/1.67 % (22776)------------------------------
% 1.71/1.68 % (22778)Instruction limit reached!
% 1.71/1.68 % (22778)------------------------------
% 1.71/1.68 % (22778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.68 % (22778)Termination reason: Unknown
% 1.71/1.68 % (22778)Termination phase: Saturation
% 1.71/1.68
% 1.71/1.68 % (22778)Memory used [KB]: 5756
% 1.71/1.68 % (22778)Time elapsed: 0.012 s
% 1.71/1.68 % (22778)Instructions burned: 42 (million)
% 1.71/1.68 % (22778)------------------------------
% 1.71/1.68 % (22778)------------------------------
% 1.71/1.68 % (22780)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/150Mi)
% 1.71/1.68 % (22781)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_22378 for (2996ds/343Mi)
% 1.71/1.68 % (22782)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_22378 for (2996ds/109Mi)
% 1.71/1.69 % (22783)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_22378 for (2996ds/253Mi)
% 1.71/1.71 % (22782)Instruction limit reached!
% 1.71/1.71 % (22782)------------------------------
% 1.71/1.71 % (22782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.71 % (22782)Termination reason: Unknown
% 1.71/1.71 % (22782)Termination phase: Saturation
% 1.71/1.71
% 1.71/1.71 % (22782)Memory used [KB]: 5884
% 1.71/1.71 % (22782)Time elapsed: 0.032 s
% 1.71/1.71 % (22782)Instructions burned: 110 (million)
% 1.71/1.71 % (22782)------------------------------
% 1.71/1.71 % (22782)------------------------------
% 1.71/1.72 % (22780)Instruction limit reached!
% 1.71/1.72 % (22780)------------------------------
% 1.71/1.72 % (22780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.72 % (22780)Termination reason: Unknown
% 1.71/1.72 % (22780)Termination phase: Saturation
% 1.71/1.72
% 1.71/1.72 % (22780)Memory used [KB]: 6140
% 1.71/1.72 % (22780)Time elapsed: 0.044 s
% 1.71/1.72 % (22780)Instructions burned: 151 (million)
% 1.71/1.72 % (22780)------------------------------
% 1.71/1.72 % (22780)------------------------------
% 1.71/1.72 % (22784)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_22378 for (2995ds/140Mi)
% 1.71/1.73 % (22785)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_22378 for (2995ds/614Mi)
% 1.71/1.74 % (22770)Instruction limit reached!
% 1.71/1.74 % (22770)------------------------------
% 1.71/1.74 % (22770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.74 % (22770)Termination reason: Unknown
% 1.71/1.74 % (22770)Termination phase: Saturation
% 1.71/1.74
% 1.71/1.74 % (22770)Memory used [KB]: 2174
% 1.71/1.74 % (22770)Time elapsed: 0.128 s
% 1.71/1.74 % (22770)Instructions burned: 435 (million)
% 1.71/1.74 % (22770)------------------------------
% 1.71/1.74 % (22770)------------------------------
% 1.71/1.75 % (22786)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_22378 for (2995ds/202Mi)
% 1.71/1.76 % (22783)Instruction limit reached!
% 1.71/1.76 % (22783)------------------------------
% 1.71/1.76 % (22783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.76 % (22783)Termination reason: Unknown
% 1.71/1.76 % (22783)Termination phase: Saturation
% 1.71/1.76
% 1.71/1.76 % (22783)Memory used [KB]: 6140
% 1.71/1.76 % (22783)Time elapsed: 0.075 s
% 1.71/1.76 % (22783)Instructions burned: 255 (million)
% 1.71/1.76 % (22783)------------------------------
% 1.71/1.76 % (22783)------------------------------
% 1.71/1.76 % (22784)Instruction limit reached!
% 1.71/1.76 % (22784)------------------------------
% 1.71/1.76 % (22784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.76 % (22784)Termination reason: Unknown
% 1.71/1.76 % (22784)Termination phase: Saturation
% 1.71/1.76
% 1.71/1.76 % (22784)Memory used [KB]: 5884
% 1.71/1.76 % (22784)Time elapsed: 0.041 s
% 1.71/1.76 % (22784)Instructions burned: 140 (million)
% 1.71/1.76 % (22784)------------------------------
% 1.71/1.76 % (22784)------------------------------
% 1.71/1.77 % (22786)Refutation not found, incomplete strategy
% 1.71/1.77 % (22786)------------------------------
% 1.71/1.77 % (22786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.77 % (22786)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.77
% 1.71/1.77
% 1.71/1.77 % (22786)Memory used [KB]: 5884
% 1.71/1.77 % (22786)Time elapsed: 0.019 s
% 1.71/1.77 % (22786)Instructions burned: 61 (million)
% 1.71/1.77 % (22786)------------------------------
% 1.71/1.77 % (22786)------------------------------
% 1.71/1.77 % (22787)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_22378 for (2995ds/339Mi)
% 1.71/1.77 % (22788)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_22378 for (2995ds/283Mi)
% 1.71/1.78 % (22789)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_22378 for (2995ds/134Mi)
% 1.71/1.78 % (22774)Instruction limit reached!
% 1.71/1.78 % (22774)------------------------------
% 1.71/1.78 % (22774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.78 % (22774)Termination reason: Unknown
% 1.71/1.78 % (22774)Termination phase: Saturation
% 1.71/1.78
% 1.71/1.78 % (22774)Memory used [KB]: 6524
% 1.71/1.78 % (22774)Time elapsed: 0.135 s
% 1.71/1.78 % (22774)Instructions burned: 454 (million)
% 1.71/1.78 % (22774)------------------------------
% 1.71/1.78 % (22774)------------------------------
% 1.71/1.78 % (22781)Instruction limit reached!
% 1.71/1.78 % (22781)------------------------------
% 1.71/1.78 % (22781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.78 % (22781)Termination reason: Unknown
% 1.71/1.78 % (22781)Termination phase: Saturation
% 1.71/1.78
% 1.71/1.78 % (22781)Memory used [KB]: 6524
% 1.71/1.78 % (22781)Time elapsed: 0.105 s
% 1.71/1.78 % (22781)Instructions burned: 345 (million)
% 1.71/1.78 % (22781)------------------------------
% 1.71/1.78 % (22781)------------------------------
% 1.71/1.79 % (22790)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_22378 for (2995ds/298Mi)
% 1.71/1.79 % (22791)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_22378 for (2995ds/192Mi)
% 1.71/1.82 % (22789)Instruction limit reached!
% 1.71/1.82 % (22789)------------------------------
% 1.71/1.82 % (22789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.82 % (22789)Termination reason: Unknown
% 1.71/1.82 % (22789)Termination phase: Saturation
% 1.71/1.82
% 1.71/1.82 % (22789)Memory used [KB]: 6268
% 1.71/1.82 % (22789)Time elapsed: 0.043 s
% 1.71/1.82 % (22789)Instructions burned: 135 (million)
% 1.71/1.82 % (22789)------------------------------
% 1.71/1.82 % (22789)------------------------------
% 1.71/1.83 % (22792)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_22378 for (2994ds/258Mi)
% 1.71/1.85 % (22791)Instruction limit reached!
% 1.71/1.85 % (22791)------------------------------
% 1.71/1.85 % (22791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.85 % (22791)Termination reason: Unknown
% 1.71/1.85 % (22791)Termination phase: Saturation
% 1.71/1.85
% 1.71/1.85 % (22791)Memory used [KB]: 6140
% 1.71/1.85 % (22791)Time elapsed: 0.053 s
% 1.71/1.85 % (22791)Instructions burned: 194 (million)
% 1.71/1.85 % (22791)------------------------------
% 1.71/1.85 % (22791)------------------------------
% 1.71/1.85 % (22788)Instruction limit reached!
% 1.71/1.85 % (22788)------------------------------
% 1.71/1.85 % (22788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.85 % (22788)Termination reason: Unknown
% 1.71/1.85 % (22788)Termination phase: Saturation
% 1.71/1.85
% 1.71/1.85 % (22788)Memory used [KB]: 6396
% 1.71/1.85 % (22788)Time elapsed: 0.079 s
% 1.71/1.85 % (22788)Instructions burned: 286 (million)
% 1.71/1.85 % (22788)------------------------------
% 1.71/1.85 % (22788)------------------------------
% 1.71/1.85 % (22793)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_22378 for (2994ds/90Mi)
% 1.71/1.86 % (22794)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_22378 for (2994ds/231Mi)
% 1.71/1.87 % (22787)Instruction limit reached!
% 1.71/1.87 % (22787)------------------------------
% 1.71/1.87 % (22787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.87 % (22787)Termination reason: Unknown
% 1.71/1.87 % (22787)Termination phase: Saturation
% 1.71/1.87
% 1.71/1.87 % (22787)Memory used [KB]: 6524
% 1.71/1.87 % (22787)Time elapsed: 0.103 s
% 1.71/1.87 % (22787)Instructions burned: 341 (million)
% 1.71/1.87 % (22787)------------------------------
% 1.71/1.87 % (22787)------------------------------
% 1.71/1.88 % (22790)Instruction limit reached!
% 1.71/1.88 % (22790)------------------------------
% 1.71/1.88 % (22790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.88 % (22790)Termination reason: Unknown
% 1.71/1.88 % (22790)Termination phase: Saturation
% 1.71/1.88
% 1.71/1.88 % (22790)Memory used [KB]: 6396
% 1.71/1.88 % (22790)Time elapsed: 0.090 s
% 1.71/1.88 % (22790)Instructions burned: 299 (million)
% 1.71/1.88 % (22790)------------------------------
% 1.71/1.88 % (22790)------------------------------
% 1.71/1.88 % (22795)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_22378 for (2994ds/458Mi)
% 1.71/1.88 % (22793)Instruction limit reached!
% 1.71/1.88 % (22793)------------------------------
% 1.71/1.88 % (22793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.88 % (22793)Termination reason: Unknown
% 1.71/1.88 % (22793)Termination phase: Saturation
% 1.71/1.88
% 1.71/1.88 % (22793)Memory used [KB]: 5884
% 1.71/1.88 % (22793)Time elapsed: 0.027 s
% 1.71/1.88 % (22793)Instructions burned: 90 (million)
% 1.71/1.88 % (22793)------------------------------
% 1.71/1.88 % (22793)------------------------------
% 1.71/1.89 % (22796)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_22378 for (2994ds/31Mi)
% 1.71/1.89 % (22797)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_22378 for (2994ds/297Mi)
% 1.71/1.90 % (22796)Instruction limit reached!
% 1.71/1.90 % (22796)------------------------------
% 1.71/1.90 % (22796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (22796)Termination reason: Unknown
% 1.71/1.90 % (22796)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (22796)Memory used [KB]: 5756
% 1.71/1.90 % (22796)Time elapsed: 0.010 s
% 1.71/1.90 % (22796)Instructions burned: 32 (million)
% 1.71/1.90 % (22796)------------------------------
% 1.71/1.90 % (22796)------------------------------
% 1.71/1.90 % (22785)Instruction limit reached!
% 1.71/1.90 % (22785)------------------------------
% 1.71/1.90 % (22785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (22785)Termination reason: Unknown
% 1.71/1.90 % (22785)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (22785)Memory used [KB]: 6396
% 1.71/1.90 % (22785)Time elapsed: 0.173 s
% 1.71/1.90 % (22785)Instructions burned: 614 (million)
% 1.71/1.90 % (22785)------------------------------
% 1.71/1.90 % (22785)------------------------------
% 1.71/1.90 % (22792)Instruction limit reached!
% 1.71/1.90 % (22792)------------------------------
% 1.71/1.90 % (22792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (22792)Termination reason: Unknown
% 1.71/1.90 % (22792)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (22792)Memory used [KB]: 6396
% 1.71/1.90 % (22792)Time elapsed: 0.076 s
% 1.71/1.90 % (22792)Instructions burned: 259 (million)
% 1.71/1.90 % (22792)------------------------------
% 1.71/1.90 % (22792)------------------------------
% 1.71/1.90 % (22767)Instruction limit reached!
% 1.71/1.90 % (22767)------------------------------
% 1.71/1.90 % (22767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (22767)Termination reason: Unknown
% 1.71/1.90 % (22767)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (22767)Memory used [KB]: 7547
% 1.71/1.90 % (22767)Time elapsed: 0.317 s
% 1.71/1.90 % (22767)Instructions burned: 1090 (million)
% 1.71/1.90 % (22767)------------------------------
% 1.71/1.90 % (22767)------------------------------
% 1.71/1.91 % (22798)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/987Mi)
% 1.71/1.91 % (22799)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/182Mi)
% 1.71/1.91 % (22800)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/182Mi)
% 1.71/1.91 % (22801)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/154Mi)
% 1.71/1.93 % (22794)Instruction limit reached!
% 1.71/1.93 % (22794)------------------------------
% 1.71/1.93 % (22794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.93 % (22794)Termination reason: Unknown
% 1.71/1.93 % (22794)Termination phase: Saturation
% 1.71/1.93
% 1.71/1.93 % (22794)Memory used [KB]: 6524
% 1.71/1.93 % (22794)Time elapsed: 0.069 s
% 1.71/1.93 % (22794)Instructions burned: 234 (million)
% 1.71/1.93 % (22794)------------------------------
% 1.71/1.93 % (22794)------------------------------
% 1.71/1.93 % (22801)Refutation not found, incomplete strategy
% 1.71/1.93 % (22801)------------------------------
% 1.71/1.93 % (22801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.93 % (22801)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % (22801)Memory used [KB]: 5884
% 1.71/1.93 % (22801)Time elapsed: 0.042 s
% 1.71/1.93 % (22801)Instructions burned: 69 (million)
% 1.71/1.93 % (22801)------------------------------
% 1.71/1.93 % (22801)------------------------------
% 1.71/1.94 % (22802)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/79Mi)
% 1.71/1.94 % (22803)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/216Mi)
% 1.71/1.96 % (22802)Instruction limit reached!
% 1.71/1.96 % (22802)------------------------------
% 1.71/1.96 % (22802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.96 % (22802)Termination reason: Unknown
% 1.71/1.96 % (22802)Termination phase: Saturation
% 1.71/1.96
% 1.71/1.96 % (22802)Memory used [KB]: 6012
% 1.71/1.96 % (22802)Time elapsed: 0.025 s
% 1.71/1.96 % (22802)Instructions burned: 79 (million)
% 1.71/1.96 % (22802)------------------------------
% 1.71/1.96 % (22802)------------------------------
% 1.71/1.96 % (22799)Instruction limit reached!
% 1.71/1.96 % (22799)------------------------------
% 1.71/1.96 % (22799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.96 % (22799)Termination reason: Unknown
% 1.71/1.96 % (22799)Termination phase: Saturation
% 1.71/1.96
% 1.71/1.96 % (22799)Memory used [KB]: 6268
% 1.71/1.96 % (22799)Time elapsed: 0.054 s
% 1.71/1.96 % (22799)Instructions burned: 183 (million)
% 1.71/1.96 % (22799)------------------------------
% 1.71/1.96 % (22799)------------------------------
% 1.71/1.97 % (22800)Instruction limit reached!
% 1.71/1.97 % (22800)------------------------------
% 1.71/1.97 % (22800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.97 % (22800)Termination reason: Unknown
% 1.71/1.97 % (22800)Termination phase: Saturation
% 1.71/1.97
% 1.71/1.97 % (22800)Memory used [KB]: 6140
% 1.71/1.97 % (22800)Time elapsed: 0.078 s
% 1.71/1.97 % (22800)Instructions burned: 185 (million)
% 1.71/1.97 % (22800)------------------------------
% 1.71/1.97 % (22800)------------------------------
% 1.71/1.97 % (22804)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/114Mi)
% 1.71/1.97 % (22805)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/922Mi)
% 1.71/1.97 % (22797)Instruction limit reached!
% 1.71/1.97 % (22797)------------------------------
% 1.71/1.97 % (22797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.97 % (22797)Termination reason: Unknown
% 1.71/1.97 % (22797)Termination phase: Saturation
% 1.71/1.97
% 1.71/1.97 % (22797)Memory used [KB]: 6140
% 1.71/1.97 % (22797)Time elapsed: 0.084 s
% 1.71/1.97 % (22797)Instructions burned: 299 (million)
% 1.71/1.97 % (22797)------------------------------
% 1.71/1.97 % (22797)------------------------------
% 1.71/1.98 % (22806)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/182Mi)
% 1.71/1.98 % (22807)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_22378 for (2993ds/164Mi)
% 1.71/2.00 % (22804)Instruction limit reached!
% 1.71/2.00 % (22804)------------------------------
% 1.71/2.00 % (22804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.00 % (22804)Termination reason: Unknown
% 1.71/2.00 % (22804)Termination phase: Saturation
% 1.71/2.00
% 1.71/2.00 % (22804)Memory used [KB]: 5884
% 1.71/2.00 % (22804)Time elapsed: 0.034 s
% 1.71/2.00 % (22804)Instructions burned: 117 (million)
% 1.71/2.00 % (22804)------------------------------
% 1.71/2.00 % (22804)------------------------------
% 1.71/2.01 % (22803)Instruction limit reached!
% 1.71/2.01 % (22803)------------------------------
% 1.71/2.01 % (22803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.01 % (22803)Termination reason: Unknown
% 1.71/2.01 % (22803)Termination phase: Saturation
% 1.71/2.01
% 1.71/2.01 % (22803)Memory used [KB]: 6012
% 1.71/2.01 % (22803)Time elapsed: 0.065 s
% 1.71/2.01 % (22803)Instructions burned: 217 (million)
% 1.71/2.01 % (22803)------------------------------
% 1.71/2.01 % (22803)------------------------------
% 1.71/2.01 % (22808)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/50Mi)
% 1.71/2.02 % (22809)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/368Mi)
% 1.71/2.02 % (22795)Instruction limit reached!
% 1.71/2.02 % (22795)------------------------------
% 1.71/2.02 % (22795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.02 % (22795)Termination reason: Unknown
% 1.71/2.02 % (22795)Termination phase: Saturation
% 1.71/2.02
% 1.71/2.02 % (22795)Memory used [KB]: 6780
% 1.71/2.02 % (22795)Time elapsed: 0.138 s
% 1.71/2.02 % (22795)Instructions burned: 459 (million)
% 1.71/2.02 % (22795)------------------------------
% 1.71/2.02 % (22795)------------------------------
% 6.83/2.03 % (22808)Instruction limit reached!
% 6.83/2.03 % (22808)------------------------------
% 6.83/2.03 % (22808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.03 % (22808)Termination reason: Unknown
% 6.83/2.03 % (22808)Termination phase: Saturation
% 6.83/2.03
% 6.83/2.03 % (22808)Memory used [KB]: 10362
% 6.83/2.03 % (22808)Time elapsed: 0.016 s
% 6.83/2.03 % (22808)Instructions burned: 51 (million)
% 6.83/2.03 % (22808)------------------------------
% 6.83/2.03 % (22808)------------------------------
% 6.83/2.03 % (22810)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/1021Mi)
% 6.83/2.03 % (22806)Instruction limit reached!
% 6.83/2.03 % (22806)------------------------------
% 6.83/2.03 % (22806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.03 % (22806)Termination reason: Unknown
% 6.83/2.03 % (22806)Termination phase: Saturation
% 6.83/2.03
% 6.83/2.03 % (22806)Memory used [KB]: 6268
% 6.83/2.03 % (22806)Time elapsed: 0.054 s
% 6.83/2.03 % (22806)Instructions burned: 185 (million)
% 6.83/2.03 % (22806)------------------------------
% 6.83/2.03 % (22806)------------------------------
% 6.83/2.03 % (22807)Instruction limit reached!
% 6.83/2.03 % (22807)------------------------------
% 6.83/2.03 % (22807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.03 % (22807)Termination reason: Unknown
% 6.83/2.03 % (22807)Termination phase: Saturation
% 6.83/2.03
% 6.83/2.03 % (22807)Memory used [KB]: 1535
% 6.83/2.03 % (22807)Time elapsed: 0.050 s
% 6.83/2.03 % (22807)Instructions burned: 166 (million)
% 6.83/2.03 % (22807)------------------------------
% 6.83/2.03 % (22807)------------------------------
% 6.83/2.04 % (22811)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/267Mi)
% 6.83/2.04 % (22812)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/204Mi)
% 6.83/2.04 % (22813)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/26Mi)
% 6.83/2.05 % (22813)Instruction limit reached!
% 6.83/2.05 % (22813)------------------------------
% 6.83/2.05 % (22813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.05 % (22813)Termination reason: Unknown
% 6.83/2.05 % (22813)Termination phase: Saturation
% 6.83/2.05
% 6.83/2.05 % (22813)Memory used [KB]: 5628
% 6.83/2.05 % (22813)Time elapsed: 0.008 s
% 6.83/2.05 % (22813)Instructions burned: 28 (million)
% 6.83/2.05 % (22813)------------------------------
% 6.83/2.05 % (22813)------------------------------
% 6.83/2.06 % (22814)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/53Mi)
% 6.83/2.07 % (22814)Instruction limit reached!
% 6.83/2.07 % (22814)------------------------------
% 6.83/2.07 % (22814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.07 % (22814)Termination reason: Unknown
% 6.83/2.07 % (22814)Termination phase: Saturation
% 6.83/2.07
% 6.83/2.07 % (22814)Memory used [KB]: 5884
% 6.83/2.07 % (22814)Time elapsed: 0.016 s
% 6.83/2.07 % (22814)Instructions burned: 53 (million)
% 6.83/2.07 % (22814)------------------------------
% 6.83/2.07 % (22814)------------------------------
% 6.83/2.08 % (22815)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_22378 for (2992ds/4436Mi)
% 6.83/2.10 % (22812)Instruction limit reached!
% 6.83/2.10 % (22812)------------------------------
% 6.83/2.10 % (22812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.10 % (22812)Termination reason: Unknown
% 6.83/2.10 % (22812)Termination phase: Saturation
% 6.83/2.10
% 6.83/2.10 % (22812)Memory used [KB]: 6140
% 6.83/2.10 % (22812)Time elapsed: 0.063 s
% 6.83/2.10 % (22812)Instructions burned: 205 (million)
% 6.83/2.10 % (22812)------------------------------
% 6.83/2.10 % (22812)------------------------------
% 6.83/2.11 % (22816)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_22378 for (2991ds/1539Mi)
% 6.83/2.11 % (22811)Instruction limit reached!
% 6.83/2.11 % (22811)------------------------------
% 6.83/2.11 % (22811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.11 % (22811)Termination reason: Unknown
% 6.83/2.11 % (22811)Termination phase: Saturation
% 6.83/2.11
% 6.83/2.11 % (22811)Memory used [KB]: 6396
% 6.83/2.11 % (22811)Time elapsed: 0.078 s
% 6.83/2.11 % (22811)Instructions burned: 268 (million)
% 6.83/2.11 % (22811)------------------------------
% 6.83/2.11 % (22811)------------------------------
% 6.83/2.12 % (22817)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_22378 for (2991ds/408Mi)
% 7.28/2.13 % (22809)Instruction limit reached!
% 7.28/2.13 % (22809)------------------------------
% 7.28/2.13 % (22809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.28/2.13 % (22809)Termination reason: Unknown
% 7.28/2.13 % (22809)Termination phase: Saturation
% 7.28/2.13
% 7.28/2.13 % (22809)Memory used [KB]: 6780
% 7.28/2.13 % (22809)Time elapsed: 0.110 s
% 7.28/2.13 % (22809)Instructions burned: 369 (million)
% 7.28/2.13 % (22809)------------------------------
% 7.28/2.13 % (22809)------------------------------
% 7.28/2.14 % (22818)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_22378 for (2991ds/5205Mi)
% 7.55/2.20 % (22798)Instruction limit reached!
% 7.55/2.20 % (22798)------------------------------
% 7.55/2.20 % (22798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.20 % (22798)Termination reason: Unknown
% 7.55/2.20 % (22798)Termination phase: Saturation
% 7.55/2.20
% 7.55/2.20 % (22798)Memory used [KB]: 7547
% 7.55/2.20 % (22798)Time elapsed: 0.313 s
% 7.55/2.20 % (22798)Instructions burned: 989 (million)
% 7.55/2.20 % (22798)------------------------------
% 7.55/2.20 % (22798)------------------------------
% 7.55/2.21 % (22819)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_22378 for (2990ds/1913Mi)
% 7.55/2.23 % (22817)Instruction limit reached!
% 7.55/2.23 % (22817)------------------------------
% 7.55/2.23 % (22817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.23 % (22817)Termination reason: Unknown
% 7.55/2.23 % (22817)Termination phase: Saturation
% 7.55/2.23
% 7.55/2.23 % (22817)Memory used [KB]: 6268
% 7.55/2.23 % (22817)Time elapsed: 0.108 s
% 7.55/2.23 % (22817)Instructions burned: 409 (million)
% 7.55/2.23 % (22817)------------------------------
% 7.55/2.23 % (22817)------------------------------
% 7.55/2.24 % (22820)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_22378 for (2990ds/4350Mi)
% 7.55/2.24 % (22805)Instruction limit reached!
% 7.55/2.24 % (22805)------------------------------
% 7.55/2.24 % (22805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.24 % (22805)Termination reason: Unknown
% 7.55/2.24 % (22805)Termination phase: Saturation
% 7.55/2.24
% 7.55/2.24 % (22805)Memory used [KB]: 6908
% 7.55/2.24 % (22805)Time elapsed: 0.268 s
% 7.55/2.24 % (22805)Instructions burned: 923 (million)
% 7.55/2.24 % (22805)------------------------------
% 7.55/2.24 % (22805)------------------------------
% 7.55/2.25 % (22821)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=68:si=on:rtra=on_0 on DTF2THF_22378 for (2990ds/68Mi)
% 7.55/2.27 % (22821)Instruction limit reached!
% 7.55/2.27 % (22821)------------------------------
% 7.55/2.27 % (22821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.27 % (22821)Termination reason: Unknown
% 7.55/2.27 % (22821)Termination phase: Saturation
% 7.55/2.27
% 7.55/2.27 % (22821)Memory used [KB]: 5884
% 7.55/2.27 % (22821)Time elapsed: 0.022 s
% 7.55/2.27 % (22821)Instructions burned: 70 (million)
% 7.55/2.27 % (22821)------------------------------
% 7.55/2.27 % (22821)------------------------------
% 7.55/2.28 % (22822)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_22378 for (2990ds/358Mi)
% 7.75/2.33 % (22810)Instruction limit reached!
% 7.75/2.33 % (22810)------------------------------
% 7.75/2.33 % (22810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.75/2.33 % (22810)Termination reason: Unknown
% 7.75/2.33 % (22810)Termination phase: Saturation
% 7.75/2.33
% 7.75/2.33 % (22810)Memory used [KB]: 7803
% 7.75/2.33 % (22810)Time elapsed: 0.302 s
% 7.75/2.33 % (22810)Instructions burned: 1021 (million)
% 7.75/2.33 % (22810)------------------------------
% 7.75/2.33 % (22810)------------------------------
% 7.75/2.34 % (22823)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_22378 for (2989ds/31Mi)
% 7.75/2.35 % (22823)Instruction limit reached!
% 7.75/2.35 % (22823)------------------------------
% 7.75/2.35 % (22823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.75/2.35 % (22823)Termination reason: Unknown
% 7.75/2.35 % (22823)Termination phase: Saturation
% 7.75/2.35
% 7.75/2.35 % (22823)Memory used [KB]: 5628
% 7.75/2.35 % (22823)Time elapsed: 0.010 s
% 7.75/2.35 % (22823)Instructions burned: 33 (million)
% 7.75/2.35 % (22823)------------------------------
% 7.75/2.35 % (22823)------------------------------
% 7.75/2.36 % (22824)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_22378 for (2989ds/279Mi)
% 7.75/2.37 % (22824)Refutation not found, incomplete strategy
% 7.75/2.37 % (22824)------------------------------
% 7.75/2.37 % (22824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.75/2.37 % (22824)Termination reason: Refutation not found, incomplete strategy
% 7.75/2.37
% 7.75/2.37
% 7.75/2.37 % (22824)Memory used [KB]: 5756
% 7.75/2.37 % (22824)Time elapsed: 0.010 s
% 7.75/2.37 % (22824)Instructions burned: 32 (million)
% 7.75/2.37 % (22824)------------------------------
% 7.75/2.37 % (22824)------------------------------
% 7.75/2.38 % (22825)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_22378 for (2989ds/258Mi)
% 7.75/2.38 % (22822)Instruction limit reached!
% 7.75/2.38 % (22822)------------------------------
% 7.75/2.38 % (22822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.75/2.38 % (22822)Termination reason: Unknown
% 7.75/2.38 % (22822)Termination phase: Saturation
% 7.75/2.38
% 7.75/2.38 % (22822)Memory used [KB]: 6396
% 7.75/2.38 % (22822)Time elapsed: 0.106 s
% 7.75/2.38 % (22822)Instructions burned: 360 (million)
% 7.75/2.38 % (22822)------------------------------
% 7.75/2.38 % (22822)------------------------------
% 7.75/2.39 % (22826)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_22378 for (2989ds/26Mi)
% 8.23/2.40 % (22826)Instruction limit reached!
% 8.23/2.40 % (22826)------------------------------
% 8.23/2.40 % (22826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.23/2.40 % (22826)Termination reason: Unknown
% 8.23/2.40 % (22826)Termination phase: Saturation
% 8.23/2.40
% 8.23/2.40 % (22826)Memory used [KB]: 5628
% 8.23/2.40 % (22826)Time elapsed: 0.008 s
% 8.23/2.40 % (22826)Instructions burned: 27 (million)
% 8.23/2.40 % (22826)------------------------------
% 8.23/2.40 % (22826)------------------------------
% 8.23/2.41 % (22827)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_22378 for (2988ds/995Mi)
% 8.23/2.45 % (22825)Instruction limit reached!
% 8.23/2.45 % (22825)------------------------------
% 8.23/2.45 % (22825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.23/2.45 % (22825)Termination reason: Unknown
% 8.23/2.45 % (22825)Termination phase: Saturation
% 8.23/2.45
% 8.23/2.45 % (22825)Memory used [KB]: 6268
% 8.23/2.45 % (22825)Time elapsed: 0.077 s
% 8.23/2.45 % (22825)Instructions burned: 261 (million)
% 8.23/2.45 % (22825)------------------------------
% 8.23/2.45 % (22825)------------------------------
% 8.23/2.46 % (22828)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_22378 for (2988ds/373Mi)
% 8.33/2.57 % (22828)Instruction limit reached!
% 8.33/2.57 % (22828)------------------------------
% 8.33/2.57 % (22828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.57 % (22828)Termination reason: Unknown
% 8.33/2.57 % (22828)Termination phase: Saturation
% 8.33/2.57
% 8.33/2.57 % (22828)Memory used [KB]: 6908
% 8.33/2.57 % (22828)Time elapsed: 0.109 s
% 8.33/2.57 % (22828)Instructions burned: 374 (million)
% 8.33/2.57 % (22828)------------------------------
% 8.33/2.57 % (22828)------------------------------
% 8.33/2.58 % (22816)Instruction limit reached!
% 8.33/2.58 % (22816)------------------------------
% 8.33/2.58 % (22816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.33/2.58 % (22816)Termination reason: Unknown
% 8.33/2.58 % (22816)Termination phase: Saturation
% 8.33/2.58
% 8.33/2.58 % (22816)Memory used [KB]: 7931
% 8.33/2.58 % (22816)Time elapsed: 0.469 s
% 8.33/2.58 % (22816)Instructions burned: 1539 (million)
% 8.33/2.58 % (22816)------------------------------
% 8.33/2.58 % (22816)------------------------------
% 8.33/2.58 % (22829)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_22378 for (2987ds/253Mi)
% 8.33/2.59 % (22830)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_22378 for (2987ds/832Mi)
% 8.92/2.60 % (22830)Refutation not found, incomplete strategy
% 8.92/2.60 % (22830)------------------------------
% 8.92/2.60 % (22830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.92/2.60 % (22830)Termination reason: Refutation not found, incomplete strategy
% 8.92/2.60
% 8.92/2.60
% 8.92/2.60 % (22830)Memory used [KB]: 5884
% 8.92/2.60 % (22830)Time elapsed: 0.013 s
% 8.92/2.60 % (22830)Instructions burned: 38 (million)
% 8.92/2.60 % (22830)------------------------------
% 8.92/2.60 % (22830)------------------------------
% 8.92/2.61 % (22831)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_22378 for (2986ds/668Mi)
% 8.92/2.65 % (22829)Instruction limit reached!
% 8.92/2.65 % (22829)------------------------------
% 8.92/2.65 % (22829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.92/2.65 % (22829)Termination reason: Unknown
% 8.92/2.65 % (22829)Termination phase: Saturation
% 8.92/2.65
% 8.92/2.65 % (22829)Memory used [KB]: 6524
% 8.92/2.65 % (22829)Time elapsed: 0.077 s
% 8.92/2.65 % (22829)Instructions burned: 253 (million)
% 8.92/2.65 % (22829)------------------------------
% 8.92/2.65 % (22829)------------------------------
% 8.92/2.66 % (22832)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=40:si=on:rtra=on_0 on DTF2THF_22378 for (2986ds/40Mi)
% 8.92/2.68 % (22832)Instruction limit reached!
% 8.92/2.68 % (22832)------------------------------
% 8.92/2.68 % (22832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.92/2.68 % (22832)Termination reason: Unknown
% 8.92/2.68 % (22832)Termination phase: Saturation
% 8.92/2.68
% 8.92/2.68 % (22832)Memory used [KB]: 5756
% 8.92/2.68 % (22832)Time elapsed: 0.013 s
% 8.92/2.68 % (22832)Instructions burned: 41 (million)
% 8.92/2.68 % (22832)------------------------------
% 8.92/2.68 % (22832)------------------------------
% 8.92/2.68 % (22833)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_22378 for (2986ds/294Mi)
% 9.05/2.70 % (22827)Instruction limit reached!
% 9.05/2.70 % (22827)------------------------------
% 9.05/2.70 % (22827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.70 % (22827)Termination reason: Unknown
% 9.05/2.70 % (22827)Termination phase: Saturation
% 9.05/2.70
% 9.05/2.70 % (22827)Memory used [KB]: 7547
% 9.05/2.70 % (22827)Time elapsed: 0.296 s
% 9.05/2.70 % (22827)Instructions burned: 995 (million)
% 9.05/2.70 % (22827)------------------------------
% 9.05/2.70 % (22827)------------------------------
% 9.05/2.72 % (22834)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_22378 for (2985ds/187Mi)
% 9.05/2.76 % (22819)Instruction limit reached!
% 9.05/2.76 % (22819)------------------------------
% 9.05/2.76 % (22819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.76 % (22819)Termination reason: Unknown
% 9.05/2.76 % (22819)Termination phase: Saturation
% 9.05/2.76
% 9.05/2.76 % (22819)Memory used [KB]: 3198
% 9.05/2.76 % (22819)Time elapsed: 0.551 s
% 9.05/2.76 % (22819)Instructions burned: 1914 (million)
% 9.05/2.76 % (22819)------------------------------
% 9.05/2.76 % (22819)------------------------------
% 9.05/2.77 % (22835)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_22378 for (2985ds/371Mi)
% 9.05/2.77 % (22833)Instruction limit reached!
% 9.05/2.77 % (22833)------------------------------
% 9.05/2.77 % (22833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.05/2.77 % (22833)Termination reason: Unknown
% 9.05/2.77 % (22833)Termination phase: Saturation
% 9.05/2.77
% 9.05/2.77 % (22833)Memory used [KB]: 6268
% 9.05/2.77 % (22833)Time elapsed: 0.082 s
% 9.05/2.77 % (22833)Instructions burned: 297 (million)
% 9.05/2.77 % (22833)------------------------------
% 9.05/2.77 % (22833)------------------------------
% 9.05/2.78 % (22836)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_22378 for (2985ds/1827Mi)
% 10.02/2.80 % (22831)Instruction limit reached!
% 10.02/2.80 % (22831)------------------------------
% 10.02/2.80 % (22831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.80 % (22831)Termination reason: Unknown
% 10.02/2.80 % (22831)Termination phase: Saturation
% 10.02/2.80
% 10.02/2.80 % (22831)Memory used [KB]: 11641
% 10.02/2.80 % (22831)Time elapsed: 0.194 s
% 10.02/2.80 % (22831)Instructions burned: 671 (million)
% 10.02/2.80 % (22831)------------------------------
% 10.02/2.80 % (22831)------------------------------
% 10.02/2.81 % (22837)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/70Mi)
% 10.02/2.82 % (22834)Instruction limit reached!
% 10.02/2.82 % (22834)------------------------------
% 10.02/2.82 % (22834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.82 % (22834)Termination reason: Unknown
% 10.02/2.82 % (22834)Termination phase: Saturation
% 10.02/2.82
% 10.02/2.82 % (22834)Memory used [KB]: 6908
% 10.02/2.82 % (22834)Time elapsed: 0.122 s
% 10.02/2.82 % (22834)Instructions burned: 189 (million)
% 10.02/2.82 % (22834)------------------------------
% 10.02/2.82 % (22834)------------------------------
% 10.02/2.83 % (22838)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/316Mi)
% 10.02/2.83 % (22837)Instruction limit reached!
% 10.02/2.83 % (22837)------------------------------
% 10.02/2.83 % (22837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.83 % (22837)Termination reason: Unknown
% 10.02/2.83 % (22837)Termination phase: Saturation
% 10.02/2.83
% 10.02/2.83 % (22837)Memory used [KB]: 1535
% 10.02/2.83 % (22837)Time elapsed: 0.022 s
% 10.02/2.83 % (22837)Instructions burned: 70 (million)
% 10.02/2.83 % (22837)------------------------------
% 10.02/2.83 % (22837)------------------------------
% 10.02/2.84 % (22839)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/932Mi)
% 10.02/2.84 % (22838)Refutation not found, incomplete strategy
% 10.02/2.84 % (22838)------------------------------
% 10.02/2.84 % (22838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.84 % (22838)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.84
% 10.02/2.84
% 10.02/2.84 % (22838)Memory used [KB]: 5756
% 10.02/2.84 % (22838)Time elapsed: 0.012 s
% 10.02/2.84 % (22838)Instructions burned: 35 (million)
% 10.02/2.84 % (22838)------------------------------
% 10.02/2.84 % (22838)------------------------------
% 10.02/2.85 % (22840)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/4714Mi)
% 10.02/2.86 % (22840)Refutation not found, incomplete strategy
% 10.02/2.86 % (22840)------------------------------
% 10.02/2.86 % (22840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.86 % (22840)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.86
% 10.02/2.86
% 10.02/2.86 % (22840)Memory used [KB]: 5756
% 10.02/2.86 % (22840)Time elapsed: 0.013 s
% 10.02/2.86 % (22840)Instructions burned: 38 (million)
% 10.02/2.86 % (22840)------------------------------
% 10.02/2.86 % (22840)------------------------------
% 10.02/2.87 % (22841)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/8250Mi)
% 10.02/2.88 % (22835)Instruction limit reached!
% 10.02/2.88 % (22835)------------------------------
% 10.02/2.88 % (22835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.88 % (22835)Termination reason: Unknown
% 10.02/2.88 % (22835)Termination phase: Saturation
% 10.02/2.88
% 10.02/2.88 % (22835)Memory used [KB]: 6652
% 10.02/2.88 % (22835)Time elapsed: 0.135 s
% 10.02/2.88 % (22835)Instructions burned: 371 (million)
% 10.02/2.88 % (22835)------------------------------
% 10.02/2.88 % (22835)------------------------------
% 10.02/2.89 % (22842)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/770Mi)
% 10.02/2.89 % (22842)Refutation not found, incomplete strategy
% 10.02/2.89 % (22842)------------------------------
% 10.02/2.89 % (22842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.02/2.89 % (22842)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.89
% 10.02/2.89
% 10.02/2.89 % (22842)Memory used [KB]: 5628
% 10.02/2.89 % (22842)Time elapsed: 0.006 s
% 10.02/2.89 % (22842)Instructions burned: 16 (million)
% 10.02/2.89 % (22842)------------------------------
% 10.02/2.89 % (22842)------------------------------
% 10.54/2.90 % (22843)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_22378 for (2984ds/794Mi)
% 13.79/3.10 % (22839)Instruction limit reached!
% 13.79/3.10 % (22839)------------------------------
% 13.79/3.10 % (22839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.79/3.10 % (22839)Termination reason: Unknown
% 13.79/3.10 % (22839)Termination phase: Saturation
% 13.79/3.10
% 13.79/3.10 % (22839)Memory used [KB]: 6524
% 13.79/3.10 % (22839)Time elapsed: 0.287 s
% 13.79/3.10 % (22839)Instructions burned: 933 (million)
% 13.79/3.10 % (22839)------------------------------
% 13.79/3.10 % (22839)------------------------------
% 14.50/3.11 % (22844)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_22378 for (2981ds/464Mi)
% 14.50/3.13 % (22843)Instruction limit reached!
% 14.50/3.13 % (22843)------------------------------
% 14.50/3.13 % (22843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.13 % (22843)Termination reason: Unknown
% 14.50/3.13 % (22843)Termination phase: Saturation
% 14.50/3.13
% 14.50/3.13 % (22843)Memory used [KB]: 3070
% 14.50/3.13 % (22843)Time elapsed: 0.246 s
% 14.50/3.13 % (22843)Instructions burned: 794 (million)
% 14.50/3.13 % (22843)------------------------------
% 14.50/3.13 % (22843)------------------------------
% 14.50/3.14 % (22845)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_22378 for (2981ds/1376Mi)
% 14.93/3.20 % (22815)First to succeed.
% 14.93/3.21 % (22815)Refutation found. Thanks to Tanya!
% 14.93/3.21 % SZS status Theorem for DTF2THF_22378
% 14.93/3.21 % SZS output start Proof for DTF2THF_22378
% 14.93/3.21 thf(type_def_6, type, nat: $tType).
% 14.93/3.21 thf(type_def_7, type, list: ($tType) > $tType).
% 14.93/3.21 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 14.93/3.21 thf(func_def_2, type, nat: $tType).
% 14.93/3.21 thf(func_def_3, type, natStar: nat > nat > $o).
% 14.93/3.21 thf(func_def_4, type, zero: nat).
% 14.93/3.21 thf(func_def_5, type, suc: nat > nat).
% 14.93/3.21 thf(func_def_6, type, plus: nat > nat > nat).
% 14.93/3.21 thf(func_def_7, type, list: ($tType) > $tType).
% 14.93/3.21 thf(func_def_8, type, listStar: !>[X0: $tType]:((X0 > X0 > $o) > nat > list @ X0 > list @ X0 > $o)).
% 14.93/3.21 thf(func_def_9, type, nil: !>[X0: $tType]:(list @ X0)).
% 14.93/3.21 thf(func_def_10, type, cons: !>[X0: $tType]:(nat > X0 > list @ X0 > list @ X0)).
% 14.93/3.21 thf(func_def_11, type, app: !>[X0: $tType]:(nat > nat > list @ X0 > list @ X0 > list @ X0)).
% 14.93/3.21 thf(func_def_14, type, sP0: !>[X0: $tType]:((X0 > X0 > $o) > nat > nat > list @ X0 > list @ X0 > $o)).
% 14.93/3.21 thf(func_def_15, type, sP1: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 14.93/3.21 thf(func_def_16, type, sP2: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 14.93/3.21 thf(func_def_17, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > nat > nat > list @ X0 > list @ X0 > nat)).
% 14.93/3.21 thf(func_def_18, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > nat > nat > list @ X0 > list @ X0 > X0)).
% 14.93/3.21 thf(func_def_19, type, sK5: !>[X0: $tType]:((X0 > X0 > $o) > nat > nat > list @ X0 > list @ X0 > list @ X0)).
% 14.93/3.21 thf(func_def_20, type, sK6: nat).
% 14.93/3.21 thf(func_def_21, type, sK7: list @ list @ list @ nat).
% 14.93/3.21 thf(func_def_22, type, sK8: nat).
% 14.93/3.21 thf(func_def_23, type, sK9: list @ list @ list @ nat).
% 14.93/3.21 thf(func_def_24, type, sK10: nat).
% 14.93/3.21 thf(func_def_25, type, sK11: list @ list @ list @ nat).
% 14.93/3.21 thf(func_def_26, type, sK12: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.93/3.21 thf(func_def_27, type, sK13: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.93/3.21 thf(func_def_28, type, sK14: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.93/3.21 thf(func_def_29, type, sK15: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.93/3.21 thf(func_def_30, type, sK16: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 14.93/3.21 thf(func_def_33, type, ph18: !>[X0: $tType]:(X0)).
% 14.93/3.21 thf(f5433,plain,(
% 14.93/3.21 $false),
% 14.93/3.21 inference(avatar_sat_refutation,[status(thm)],[f302,f419,f464,f472,f495,f3839,f5432])).
% 14.93/3.21 thf(f5432,plain,(
% 14.93/3.21 ~spl17_12 | ~spl17_11),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f5431,f373,f376])).
% 14.93/3.21 thf(f376,definition,(
% 14.93/3.21 spl17_12 <=> ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) = $true)),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_12])],[avatar_definition])).
% 14.93/3.21 thf(f373,definition,(
% 14.93/3.21 spl17_11 <=> ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true)),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_11])],[avatar_definition])).
% 14.93/3.21 thf(f5431,plain,(
% 14.93/3.21 ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ~spl17_11),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f5430,f90])).
% 14.93/3.21 thf(f90,plain,(
% 14.93/3.21 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9))),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f65])).
% 14.93/3.21 thf(f65,plain,(
% 14.93/3.21 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) = $true) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK8 @ sK10) @ (plus @ sK8 @ sK10)) @ (app @ list @ list @ nat @ sK6 @ (plus @ sK8 @ sK10) @ sK7 @ (app @ list @ list @ nat @ sK8 @ sK10 @ sK9 @ sK11)) @ (app @ list @ list @ nat @ (plus @ sK6 @ sK8) @ sK10 @ (app @ list @ list @ nat @ sK6 @ sK8 @ sK7 @ sK9) @ sK11))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9))),
% 14.93/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f50,f64])).
% 14.93/3.21 thf(f64,plain,(
% 14.93/3.21 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1)) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X5 @ X5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ list @ list @ nat @ X0 @ (plus @ X2 @ X4) @ X1 @ (app @ list @ list @ nat @ X2 @ X4 @ X3 @ X5)) @ (app @ list @ list @ nat @ (plus @ X0 @ X2) @ X4 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3) @ X5)) != $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) = $true) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK8 @ sK10) @ (plus @ sK8 @ sK10)) @ (app @ list @ list @ nat @ sK6 @ (plus @ sK8 @ sK10) @ sK7 @ (app @ list @ list @ nat @ sK8 @ sK10 @ sK9 @ sK11)) @ (app @ list @ list @ nat @ (plus @ sK6 @ sK8) @ sK10 @ (app @ list @ list @ nat @ sK6 @ sK8 @ sK7 @ sK9) @ sK11))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)))),
% 14.93/3.21 introduced(definition,[],[choice_axiom])).
% 14.93/3.21 thf(f50,plain,(
% 14.93/3.21 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1)) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X5 @ X5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ list @ list @ nat @ X0 @ (plus @ X2 @ X4) @ X1 @ (app @ list @ list @ nat @ X2 @ X4 @ X3 @ X5)) @ (app @ list @ list @ nat @ (plus @ X0 @ X2) @ X4 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3) @ X5)) != $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)))),
% 14.93/3.21 inference(flattening,[status(thm)],[f49])).
% 14.93/3.21 thf(f49,plain,(
% 14.93/3.21 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ list @ nat] : (((((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ list @ list @ nat @ X0 @ (plus @ X2 @ X4) @ X1 @ (app @ list @ list @ nat @ X2 @ X4 @ X3 @ X5)) @ (app @ list @ list @ nat @ (plus @ X0 @ X2) @ X4 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3) @ X5)) != $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X5 @ X5))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1)))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f19])).
% 14.93/3.21 thf(f19,plain,(
% 14.93/3.21 ~! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X5 @ X5)) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ list @ list @ nat @ X0 @ (plus @ X2 @ X4) @ X1 @ (app @ list @ list @ nat @ X2 @ X4 @ X3 @ X5)) @ (app @ list @ list @ nat @ (plus @ X0 @ X2) @ X4 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3) @ X5)) = $true))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f18])).
% 14.93/3.21 thf(f18,plain,(
% 14.93/3.21 ~! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X5 @ X5) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ list @ list @ nat @ X0 @ (plus @ X2 @ X4) @ X1 @ (app @ list @ list @ nat @ X2 @ X4 @ X3 @ X5)) @ (app @ list @ list @ nat @ (plus @ X0 @ X2) @ X4 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3) @ X5)))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f14])).
% 14.93/3.21 thf(f14,negated_conjecture,(
% 14.93/3.21 ~! [X13 : nat,X19 : list @ list @ list @ nat,X15 : nat,X17 : list @ list @ list @ nat,X16 : nat,X18 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X19 @ X19) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X17 @ X17) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X18 @ X18) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X15 @ X16) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ X13 @ (plus @ X15 @ X16) @ X19 @ (app @ list @ list @ nat @ X15 @ X16 @ X17 @ X18)) @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X19 @ X17) @ X18)))))),
% 14.93/3.21 inference(negated_conjecture,[status(cth)],[f13])).
% 14.93/3.21 thf(f13,conjecture,(
% 14.93/3.21 ! [X13 : nat,X19 : list @ list @ list @ nat,X15 : nat,X17 : list @ list @ list @ nat,X16 : nat,X18 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X19 @ X19) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X17 @ X17) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X18 @ X18) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X15 @ X16) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ X13 @ (plus @ X15 @ X16) @ X19 @ (app @ list @ list @ nat @ X15 @ X16 @ X17 @ X18)) @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X19 @ X17) @ X18)))))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',list_app_assoc)).
% 14.93/3.21 thf(f5430,plain,(
% 14.93/3.21 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ~spl17_11),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f5400,f92])).
% 14.93/3.21 thf(f92,plain,(
% 14.93/3.21 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) = $true)),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f65])).
% 14.93/3.21 thf(f5400,plain,(
% 14.93/3.21 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) != $true) | ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ~spl17_11),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f5386])).
% 14.93/3.21 thf(f5386,plain,(
% 14.93/3.21 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) != $true) | ($true != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ~spl17_11),
% 14.93/3.21 inference(superposition,[status(thm)],[f449,f374])).
% 14.93/3.21 thf(f374,plain,(
% 14.93/3.21 ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true) | ~spl17_11),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f373])).
% 14.93/3.21 thf(f449,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0 > X0 > $o,X4 : list @ X0,X5 : list @ X0] : (($true != (sP0 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X3 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ X2 @ X4 @ X4) != $true)) )),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f448,f80])).
% 14.93/3.21 thf(f80,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (($true = (listStar @ X3 @ X5 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f61])).
% 14.93/3.21 thf(f61,plain,(
% 14.93/3.21 ! [X0 : list @ X3,X1 : list @ X3,X2 : nat,X3 : $tType,X4 : nat,X5 : X3 > X3 > $o] : ((((listStar @ X3 @ X5 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (plus @ X2 @ X4) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2) @ X4 @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2 @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X1) @ X0)) = $true) & ($true = (listStar @ X3 @ X5 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) & ($true != (listStar @ X3 @ X5 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)))) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)))),
% 14.93/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f59,f60])).
% 14.93/3.21 thf(f60,plain,(
% 14.93/3.21 ! [X3 : $tType,X0 : list @ X3,X1 : list @ X3,X2 : nat,X4 : nat,X5 : X3 > X3 > $o] : (? [X6 : nat,X7 : X3,X8 : list @ X3] : (($true = (listStar @ X3 @ X5 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X3 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ X6 @ X2) @ X4 @ (app @ X3 @ X6 @ X2 @ X8 @ X1) @ X0))) & ($true = (listStar @ X3 @ X5 @ X6 @ X8 @ X8)) & ($true != (listStar @ X3 @ X5 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X3 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X3 @ X6 @ X7 @ X8) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X3 @ (suc @ X6) @ X2 @ (cons @ X3 @ X6 @ X7 @ X8) @ X1) @ X0)))) => (((listStar @ X3 @ X5 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (plus @ X2 @ X4) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2) @ X4 @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2 @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X1) @ X0)) = $true) & ($true = (listStar @ X3 @ X5 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) & ($true != (listStar @ X3 @ X5 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)))))),
% 14.93/3.21 introduced(definition,[],[choice_axiom])).
% 14.93/3.21 thf(f59,plain,(
% 14.93/3.21 ! [X0 : list @ X3,X1 : list @ X3,X2 : nat,X3 : $tType,X4 : nat,X5 : X3 > X3 > $o] : (? [X6 : nat,X7 : X3,X8 : list @ X3] : (($true = (listStar @ X3 @ X5 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X3 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ X6 @ X2) @ X4 @ (app @ X3 @ X6 @ X2 @ X8 @ X1) @ X0))) & ($true = (listStar @ X3 @ X5 @ X6 @ X8 @ X8)) & ($true != (listStar @ X3 @ X5 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X3 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X3 @ X6 @ X7 @ X8) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X3 @ (suc @ X6) @ X2 @ (cons @ X3 @ X6 @ X7 @ X8) @ X1) @ X0)))) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)))),
% 14.93/3.21 inference(rectify,[status(thm)],[f58])).
% 14.93/3.21 thf(f58,plain,(
% 14.93/3.21 ! [X5 : list @ X0,X3 : list @ X0,X2 : nat,X0 : $tType,X4 : nat,X1 : X0 > X0 > $o] : (? [X6 : nat,X7 : X0,X8 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) & ($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) & ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) != $true)) | ($true != (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)))),
% 14.93/3.21 inference(nnf_transformation,[status(thm)],[f53])).
% 14.93/3.21 thf(f53,plain,(
% 14.93/3.21 ! [X5 : list @ X0,X3 : list @ X0,X2 : nat,X0 : $tType,X4 : nat,X1 : X0 > X0 > $o] : (? [X6 : nat,X7 : X0,X8 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) & ($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) & ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) != $true)) | ~($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 14.93/3.21 thf(f448,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0 > X0 > $o,X4 : list @ X0,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X3 @ X5 @ X5)) | ($true != (sP0 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)) | ((listStar @ X0 @ X1 @ X2 @ X4 @ X4) != $true) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)))) )),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f444,f330])).
% 14.93/3.21 thf(f330,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (($true = (listStar @ X3 @ X5 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (plus @ X2 @ X4) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2) @ X4 @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2 @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X1) @ X0))) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f81,f104])).
% 14.93/3.21 thf(f104,plain,(
% 14.93/3.21 ( ! [X2 : nat,X0 : nat,X1 : nat] : (((plus @ (plus @ X0 @ X1) @ X2) = (plus @ X0 @ (plus @ X1 @ X2)))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f36])).
% 14.93/3.21 thf(f36,plain,(
% 14.93/3.21 ! [X0 : nat,X1 : nat,X2 : nat] : ((plus @ (plus @ X0 @ X1) @ X2) = (plus @ X0 @ (plus @ X1 @ X2)))),
% 14.93/3.21 inference(rectify,[status(thm)],[f9])).
% 14.93/3.21 thf(f9,axiom,(
% 14.93/3.21 ! [X14 : nat,X15 : nat,X16 : nat] : ((plus @ X14 @ (plus @ X15 @ X16)) = (plus @ (plus @ X14 @ X15) @ X16))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',plus_assoc)).
% 14.93/3.21 thf(f81,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) | ((listStar @ X3 @ X5 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (plus @ X2 @ X4) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2) @ X4 @ (app @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2 @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X1) @ X0)) = $true)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f61])).
% 14.93/3.21 thf(f444,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0 > X0 > $o,X4 : list @ X0,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X3 @ (plus @ X2 @ X3))) @ (app @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (plus @ X2 @ X3) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (app @ X0 @ X2 @ X3 @ X4 @ X5)) @ (app @ X0 @ (plus @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X2) @ X3 @ (app @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X2 @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X4) @ X5))) | ((isPer @ X0 @ X1) != $true) | ($true != (sP0 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)) | ($true != (listStar @ X0 @ X1 @ X3 @ X5 @ X5)) | ($true != (listStar @ X0 @ X1 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5))) | ((listStar @ X0 @ X1 @ X2 @ X4 @ X4) != $true)) )),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f439])).
% 14.93/3.21 thf(f439,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : nat,X1 : X0 > X0 > $o,X4 : list @ X0,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X3 @ (plus @ X2 @ X3))) @ (app @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (plus @ X2 @ X3) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (app @ X0 @ X2 @ X3 @ X4 @ X5)) @ (app @ X0 @ (plus @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X2) @ X3 @ (app @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X2 @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ X4) @ X5))) | ($true != (listStar @ X0 @ X1 @ X3 @ X5 @ X5)) | ($true != (sP0 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)) | ((listStar @ X0 @ X1 @ X2 @ X4 @ X4) != $true) | ((isPer @ X0 @ X1) != $true) | ($true != $true) | ($true != (listStar @ X0 @ X1 @ (sK3 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5) @ (sK5 @ X0 @ X1 @ X3 @ X2 @ X4 @ X5)))) )),
% 14.93/3.21 inference(superposition,[status(thm)],[f422,f387])).
% 14.93/3.21 thf(f387,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (suc @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4)))) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (suc @ (plus @ X6 @ X2)) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5))) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f386,f85])).
% 14.93/3.21 thf(f85,plain,(
% 14.93/3.21 ( ! [X0 : nat,X1 : nat] : (((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f38])).
% 14.93/3.21 thf(f38,plain,(
% 14.93/3.21 ! [X0 : nat,X1 : nat] : ((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))),
% 14.93/3.21 inference(rectify,[status(thm)],[f8])).
% 14.93/3.21 thf(f8,axiom,(
% 14.93/3.21 ! [X8 : nat,X13 : nat] : ((plus @ (suc @ X8) @ X13) = (suc @ (plus @ X8 @ X13)))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',ax2)).
% 14.93/3.21 thf(f386,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) != $true) | ($true = (listStar @ X0 @ X1 @ (suc @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4)))) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f385,f104])).
% 14.93/3.21 thf(f385,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) != $true) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ($true = (listStar @ X0 @ X1 @ (suc @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4))) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f384,f85])).
% 14.93/3.21 thf(f384,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true) | ((listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((isPer @ X0 @ X1) != $true)) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f107,f104])).
% 14.93/3.21 thf(f107,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))) )),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f87])).
% 14.93/3.21 thf(f87,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X8 : list @ X0,X6 : nat,X7 : X0,X4 : nat,X5 : list @ X0] : (((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) | (X7 != X7)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f48])).
% 14.93/3.21 thf(f48,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0,X6 : nat,X7 : X0,X8 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) | (X7 != X7) | ($true != (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true)))),
% 14.93/3.21 inference(flattening,[status(thm)],[f47])).
% 14.93/3.21 thf(f47,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0,X6 : nat,X7 : X0,X8 : list @ X0] : (((((((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)))) | ($true != (listStar @ X0 @ X1 @ X6 @ X8 @ X8))) | (X7 != X7)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) | ((isPer @ X0 @ X1) != $true))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f33])).
% 14.93/3.21 thf(f33,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0,X6 : nat,X7 : X0,X8 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) => (($true = (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) => ((X7 = X7) => (($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) => (($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) => ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true)))))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f32])).
% 14.93/3.21 thf(f32,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0,X6 : nat,X7 : X0,X8 : list @ X0] : ((listStar @ X0 @ X1 @ X2 @ X3 @ X3) => ((listStar @ X0 @ X1 @ X4 @ X5 @ X5) => ((X7 = X7) => ((listStar @ X0 @ X1 @ X6 @ X8 @ X8) => ((listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) => (listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5))))))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f12])).
% 14.93/3.21 thf(f12,axiom,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X15 : nat,X17 : list @ X0,X16 : nat,X18 : list @ X0,X13 : nat,X2 : X0,X19 : list @ X0] : ((listStar @ X0 @ X1 @ X15 @ X17 @ X17) => ((listStar @ X0 @ X1 @ X16 @ X18 @ X18) => ((X2 = X2) => ((listStar @ X0 @ X1 @ X13 @ X19 @ X19) => ((listStar @ X0 @ X1 @ (plus @ (plus @ X15 @ X16) @ (plus @ X15 @ X16)) @ (app @ X0 @ X13 @ (plus @ X15 @ X16) @ X19 @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ X13 @ X15) @ X16 @ (app @ X0 @ X13 @ X15 @ X19 @ X17) @ X18)) => (listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ X0 @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ X0 @ X13 @ X2 @ X19) @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ (suc @ X13) @ X15) @ X16 @ (app @ X0 @ (suc @ X13) @ X15 @ (cons @ X0 @ X13 @ X2 @ X19) @ X17) @ X18))))))))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',list_app_assoc_indstep)).
% 14.93/3.21 thf(f422,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (((listStar @ X3 @ X5 @ (suc @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4)))) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (suc @ (plus @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ X2)) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)) != $true) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f421,f85])).
% 14.93/3.21 thf(f421,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (((listStar @ X3 @ X5 @ (suc @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4)))) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)) != $true) | ($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f420,f104])).
% 14.93/3.21 thf(f420,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) | ($true != (listStar @ X3 @ X5 @ (suc @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4))) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f79,f85])).
% 14.93/3.21 thf(f79,plain,(
% 14.93/3.21 ( ! [X3 : $tType,X2 : nat,X0 : list @ X3,X1 : list @ X3,X4 : nat,X5 : X3 > X3 > $o] : (($true != (sP0 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) | ($true != (listStar @ X3 @ X5 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (plus @ X2 @ X4) @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ (app @ X3 @ X2 @ X4 @ X1 @ X0)) @ (app @ X3 @ (plus @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2) @ X4 @ (app @ X3 @ (suc @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X2 @ (cons @ X3 @ (sK3 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK4 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0) @ (sK5 @ X3 @ X5 @ X4 @ X2 @ X1 @ X0)) @ X1) @ X0)))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f61])).
% 14.93/3.21 thf(f3839,plain,(
% 14.93/3.21 spl17_11 | ~spl17_12),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f3838,f376,f373])).
% 14.93/3.21 thf(f3838,plain,(
% 14.93/3.21 ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true)),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f3837,f93])).
% 14.93/3.21 thf(f93,plain,(
% 14.93/3.21 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7))),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f65])).
% 14.93/3.21 thf(f3837,plain,(
% 14.93/3.21 ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7))),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f3836,f90])).
% 14.93/3.21 thf(f3836,plain,(
% 14.93/3.21 ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7))),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f3819,f92])).
% 14.93/3.21 thf(f3819,plain,(
% 14.93/3.21 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7)) | ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true)),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f3809])).
% 14.93/3.21 thf(f3809,plain,(
% 14.93/3.21 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK11 @ sK11) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK8 @ sK9 @ sK9)) | ($true != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK6 @ sK7 @ sK7)) | ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | ((sP0 @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK10 @ sK8 @ sK9 @ sK11) = $true)),
% 14.93/3.21 inference(superposition,[status(thm)],[f202,f349])).
% 14.93/3.21 thf(f349,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X6 : nat,X7 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5))) | ($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) )),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f348,f322])).
% 14.93/3.21 thf(f322,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X4 : nat,X5 : list @ X0] : (((listStar @ X0 @ X1 @ (plus @ X2 @ X4) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ X2 @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((isPer @ X0 @ X1) != $true)) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f321,f78])).
% 14.93/3.21 thf(f78,plain,(
% 14.93/3.21 ( ! [X0 : nat] : (((plus @ zero @ X0) = X0)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f37])).
% 14.93/3.21 thf(f37,plain,(
% 14.93/3.21 ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 14.93/3.21 inference(rectify,[status(thm)],[f7])).
% 14.93/3.21 thf(f7,axiom,(
% 14.93/3.21 ! [X8 : nat] : ((plus @ zero @ X8) = X8)),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',ax1)).
% 14.93/3.21 thf(f321,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ X4) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true)) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f76,f78])).
% 14.93/3.21 thf(f76,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true) | ((isPer @ X0 @ X1) != $true)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f45])).
% 14.93/3.21 thf(f45,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))))),
% 14.93/3.21 inference(flattening,[status(thm)],[f44])).
% 14.93/3.21 thf(f44,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : ((((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) | ((isPer @ X0 @ X1) != $true))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f31])).
% 14.93/3.21 thf(f31,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) => (($true = (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) => ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f30])).
% 14.93/3.21 thf(f30,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : ((listStar @ X0 @ X1 @ X2 @ X3 @ X3) => ((listStar @ X0 @ X1 @ X4 @ X5 @ X5) => (listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f11])).
% 14.93/3.21 thf(f11,axiom,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X15 : nat,X17 : list @ X0,X16 : nat,X18 : list @ X0] : ((listStar @ X0 @ X1 @ X15 @ X17 @ X17) => ((listStar @ X0 @ X1 @ X16 @ X18 @ X18) => (listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X15 @ X16)) @ (app @ X0 @ zero @ (plus @ X15 @ X16) @ nil @ X0 @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ zero @ X15) @ X16 @ (app @ X0 @ zero @ X15 @ nil @ X0 @ X17) @ X18)))))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',list_app_assoc_base)).
% 14.93/3.21 thf(f348,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X6 : nat,X7 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ X4) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ X2 @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true)) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f347,f78])).
% 14.93/3.21 thf(f347,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X6 : nat,X7 : list @ X0,X4 : nat,X5 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true) | ($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ X4) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ((isPer @ X0 @ X1) != $true) | ($true = (listStar @ X0 @ X1 @ (plus @ X2 @ (plus @ X4 @ (plus @ X2 @ X4))) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5)))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f346,f104])).
% 14.93/3.21 thf(f346,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X6 : nat,X7 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5)) = $true) | ((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ X2 @ X4) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ((isPer @ X0 @ X1) != $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) )),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f82,f78])).
% 14.93/3.21 thf(f82,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X3 : list @ X0,X1 : X0 > X0 > $o,X6 : nat,X7 : list @ X0,X4 : nat,X5 : list @ X0] : (((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) | ((isPer @ X0 @ X1) != $true) | ((listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5)) = $true) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true) | ($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f62])).
% 14.93/3.21 thf(f62,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ! [X6 : nat,X7 : list @ X0] : (((listStar @ X0 @ X1 @ X6 @ X7 @ X7) != $true) | ((listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X7 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X7 @ X3) @ X5)) = $true)) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f54])).
% 14.93/3.21 thf(f54,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (sP0 @ X0 @ X1 @ X4 @ X2 @ X3 @ X5)) | ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ! [X9 : nat,X10 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X9 @ X10 @ X10)) | ($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X9 @ (plus @ X2 @ X4) @ X10 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X9 @ X2) @ X4 @ (app @ X0 @ X9 @ X2 @ X10 @ X3) @ X5)))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))))),
% 14.93/3.21 inference(definition_folding,[status(thm)],[f42,f53])).
% 14.93/3.21 thf(f42,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (? [X6 : nat,X7 : X0,X8 : list @ X0] : (($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) & ($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) & ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) != $true)) | ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true) | ! [X9 : nat,X10 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X9 @ X10 @ X10)) | ($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X9 @ (plus @ X2 @ X4) @ X10 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X9 @ X2) @ X4 @ (app @ X0 @ X9 @ X2 @ X10 @ X3) @ X5)))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))))),
% 14.93/3.21 inference(flattening,[status(thm)],[f41])).
% 14.93/3.21 thf(f41,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : ((((! [X9 : nat,X10 : list @ X0] : (($true != (listStar @ X0 @ X1 @ X9 @ X10 @ X10)) | ($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X9 @ (plus @ X2 @ X4) @ X10 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X9 @ X2) @ X4 @ (app @ X0 @ X9 @ X2 @ X10 @ X3) @ X5)))) | ? [X6 : nat,X7 : X0,X8 : list @ X0] : ((((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) != $true) & ($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)))) & ($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)))) | ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) != $true)) | ($true != (listStar @ X0 @ X1 @ X4 @ X5 @ X5))) | ($true != (listStar @ X0 @ X1 @ X2 @ X3 @ X3))) | ((isPer @ X0 @ X1) != $true))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f23])).
% 14.93/3.21 thf(f23,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X2 @ X3 @ X3)) => (($true = (listStar @ X0 @ X1 @ X4 @ X5 @ X5)) => (((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) = $true) => (! [X6 : nat,X7 : X0,X8 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X6 @ X8 @ X8)) => (($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5))) => ((listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)) = $true))) => ! [X9 : nat,X10 : list @ X0] : (($true = (listStar @ X0 @ X1 @ X9 @ X10 @ X10)) => ($true = (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X9 @ (plus @ X2 @ X4) @ X10 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X9 @ X2) @ X4 @ (app @ X0 @ X9 @ X2 @ X10 @ X3) @ X5)))))))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f22])).
% 14.93/3.21 thf(f22,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : list @ X0,X4 : nat,X5 : list @ X0] : ((listStar @ X0 @ X1 @ X2 @ X3 @ X3) => ((listStar @ X0 @ X1 @ X4 @ X5 @ X5) => ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X2 @ X4)) @ (app @ X0 @ zero @ (plus @ X2 @ X4) @ nil @ X0 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ zero @ X2) @ X4 @ (app @ X0 @ zero @ X2 @ nil @ X0 @ X3) @ X5)) => (! [X6 : nat,X7 : X0,X8 : list @ X0] : ((listStar @ X0 @ X1 @ X6 @ X8 @ X8) => ((listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X6 @ (plus @ X2 @ X4) @ X8 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X6 @ X2) @ X4 @ (app @ X0 @ X6 @ X2 @ X8 @ X3) @ X5)) => (listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X2 @ X4)) @ (plus @ X2 @ X4)) @ (app @ X0 @ (suc @ X6) @ (plus @ X2 @ X4) @ (cons @ X0 @ X6 @ X7 @ X8) @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ (suc @ X6) @ X2) @ X4 @ (app @ X0 @ (suc @ X6) @ X2 @ (cons @ X0 @ X6 @ X7 @ X8) @ X3) @ X5)))) => ! [X9 : nat,X10 : list @ X0] : ((listStar @ X0 @ X1 @ X9 @ X10 @ X10) => (listStar @ X0 @ X1 @ (plus @ (plus @ X2 @ X4) @ (plus @ X2 @ X4)) @ (app @ X0 @ X9 @ (plus @ X2 @ X4) @ X10 @ (app @ X0 @ X2 @ X4 @ X3 @ X5)) @ (app @ X0 @ (plus @ X9 @ X2) @ X4 @ (app @ X0 @ X9 @ X2 @ X10 @ X3) @ X5))))))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f10])).
% 14.93/3.21 thf(f10,axiom,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X15 : nat,X17 : list @ X0,X16 : nat,X18 : list @ X0] : ((listStar @ X0 @ X1 @ X15 @ X17 @ X17) => ((listStar @ X0 @ X1 @ X16 @ X18 @ X18) => ((listStar @ X0 @ X1 @ (plus @ zero @ (plus @ X15 @ X16)) @ (app @ X0 @ zero @ (plus @ X15 @ X16) @ nil @ X0 @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ zero @ X15) @ X16 @ (app @ X0 @ zero @ X15 @ nil @ X0 @ X17) @ X18)) => (! [X13 : nat,X2 : X0,X19 : list @ X0] : ((listStar @ X0 @ X1 @ X13 @ X19 @ X19) => ((listStar @ X0 @ X1 @ (plus @ (plus @ X15 @ X16) @ (plus @ X15 @ X16)) @ (app @ X0 @ X13 @ (plus @ X15 @ X16) @ X19 @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ X13 @ X15) @ X16 @ (app @ X0 @ X13 @ X15 @ X19 @ X17) @ X18)) => (listStar @ X0 @ X1 @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ X0 @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ X0 @ X13 @ X2 @ X19) @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ (suc @ X13) @ X15) @ X16 @ (app @ X0 @ (suc @ X13) @ X15 @ (cons @ X0 @ X13 @ X2 @ X19) @ X17) @ X18)))) => ! [X13 : nat,X19 : list @ X0] : ((listStar @ X0 @ X1 @ X13 @ X19 @ X19) => (listStar @ X0 @ X1 @ (plus @ (plus @ X15 @ X16) @ (plus @ X15 @ X16)) @ (app @ X0 @ X13 @ (plus @ X15 @ X16) @ X19 @ (app @ X0 @ X15 @ X16 @ X17 @ X18)) @ (app @ X0 @ (plus @ X13 @ X15) @ X16 @ (app @ X0 @ X13 @ X15 @ X19 @ X17) @ X18))))))))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',list_app_assoc_indinst)).
% 14.93/3.21 thf(f202,plain,(
% 14.93/3.21 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ sK8 @ (plus @ sK10 @ (plus @ sK8 @ sK10))) @ (app @ list @ list @ nat @ sK6 @ (plus @ sK8 @ sK10) @ sK7 @ (app @ list @ list @ nat @ sK8 @ sK10 @ sK9 @ sK11)) @ (app @ list @ list @ nat @ (plus @ sK6 @ sK8) @ sK10 @ (app @ list @ list @ nat @ sK6 @ sK8 @ sK7 @ sK9) @ sK11)))),
% 14.93/3.21 inference(forward_demodulation,[status(thm)],[f91,f104])).
% 14.93/3.21 thf(f91,plain,(
% 14.93/3.21 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK8 @ sK10) @ (plus @ sK8 @ sK10)) @ (app @ list @ list @ nat @ sK6 @ (plus @ sK8 @ sK10) @ sK7 @ (app @ list @ list @ nat @ sK8 @ sK10 @ sK9 @ sK11)) @ (app @ list @ list @ nat @ (plus @ sK6 @ sK8) @ sK10 @ (app @ list @ list @ nat @ sK6 @ sK8 @ sK7 @ sK9) @ sK11)))),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f65])).
% 14.93/3.21 thf(f495,plain,(
% 14.93/3.21 spl17_3 | ~spl17_13),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f494,f462,f171])).
% 14.93/3.21 thf(f171,definition,(
% 14.93/3.21 spl17_3 <=> ($true = (sP1 @ nat @ natStar))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_3])],[avatar_definition])).
% 14.93/3.21 thf(f462,definition,(
% 14.93/3.21 spl17_13 <=> ((sK15 @ nat @ natStar) = (sK14 @ nat @ natStar))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_13])],[avatar_definition])).
% 14.93/3.21 thf(f494,plain,(
% 14.93/3.21 ($true = (sP1 @ nat @ natStar)) | ~spl17_13),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f481,f99])).
% 14.93/3.21 thf(f99,plain,(
% 14.93/3.21 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (($true != (X0 @ (sK14 @ X1 @ X0) @ (sK16 @ X1 @ X0))) | ($true = (sP1 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f74])).
% 14.93/3.21 thf(f74,plain,(
% 14.93/3.21 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP1 @ X1 @ X0)) | (((X0 @ (sK14 @ X1 @ X0) @ (sK15 @ X1 @ X0)) = $true) & ((X0 @ (sK15 @ X1 @ X0) @ (sK16 @ X1 @ X0)) = $true) & ($true != (X0 @ (sK14 @ X1 @ X0) @ (sK16 @ X1 @ X0))))) & (! [X5 : X1,X6 : X1,X7 : X1] : (($true != (X0 @ X5 @ X6)) | ((X0 @ X6 @ X7) != $true) | ($true = (X0 @ X5 @ X7))) | ($true != (sP1 @ X1 @ X0))))),
% 14.93/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f72,f73])).
% 14.93/3.21 thf(f73,plain,(
% 14.93/3.21 ! [X1 : $tType,X0 : X1 > X1 > $o] : (? [X2 : X1,X3 : X1,X4 : X1] : (($true = (X0 @ X2 @ X3)) & ($true = (X0 @ X3 @ X4)) & ($true != (X0 @ X2 @ X4))) => (((X0 @ (sK14 @ X1 @ X0) @ (sK15 @ X1 @ X0)) = $true) & ((X0 @ (sK15 @ X1 @ X0) @ (sK16 @ X1 @ X0)) = $true) & ($true != (X0 @ (sK14 @ X1 @ X0) @ (sK16 @ X1 @ X0)))))),
% 14.93/3.21 introduced(definition,[],[choice_axiom])).
% 14.93/3.21 thf(f72,plain,(
% 14.93/3.21 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP1 @ X1 @ X0)) | ? [X2 : X1,X3 : X1,X4 : X1] : (($true = (X0 @ X2 @ X3)) & ($true = (X0 @ X3 @ X4)) & ($true != (X0 @ X2 @ X4)))) & (! [X5 : X1,X6 : X1,X7 : X1] : (($true != (X0 @ X5 @ X6)) | ((X0 @ X6 @ X7) != $true) | ($true = (X0 @ X5 @ X7))) | ($true != (sP1 @ X1 @ X0))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f71])).
% 14.93/3.21 thf(f71,plain,(
% 14.93/3.21 ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP1 @ X0 @ X1)) | ? [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X4) = $true) & ((X1 @ X2 @ X4) != $true))) & (! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) | ($true != (sP1 @ X0 @ X1))))),
% 14.93/3.21 inference(nnf_transformation,[status(thm)],[f55])).
% 14.93/3.21 thf(f55,plain,(
% 14.93/3.21 ! [X1 : X0 > X0 > $o,X0 : $tType] : (($true = (sP1 @ X0 @ X1)) <=> ! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 14.93/3.21 thf(f481,plain,(
% 14.93/3.21 ((natStar @ (sK14 @ nat @ natStar) @ (sK16 @ nat @ natStar)) = $true) | ($true = (sP1 @ nat @ natStar)) | ~spl17_13),
% 14.93/3.21 inference(superposition,[status(thm)],[f100,f463])).
% 14.93/3.21 thf(f463,plain,(
% 14.93/3.21 ((sK15 @ nat @ natStar) = (sK14 @ nat @ natStar)) | ~spl17_13),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f462])).
% 14.93/3.21 thf(f100,plain,(
% 14.93/3.21 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((X0 @ (sK15 @ X1 @ X0) @ (sK16 @ X1 @ X0)) = $true) | ($true = (sP1 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f74])).
% 14.93/3.21 thf(f472,plain,(
% 14.93/3.21 ~spl17_3 | ~spl17_10 | spl17_12),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f471,f376,f300,f171])).
% 14.93/3.21 thf(f300,definition,(
% 14.93/3.21 spl17_10 <=> ((sK13 @ nat @ natStar) = (sK12 @ nat @ natStar))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_10])],[avatar_definition])).
% 14.93/3.21 thf(f471,plain,(
% 14.93/3.21 ($true != (sP1 @ nat @ natStar)) | (~spl17_10 | spl17_12)),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f470,f417])).
% 14.93/3.21 thf(f417,plain,(
% 14.93/3.21 ((sP2 @ nat @ natStar) != $true) | spl17_12),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f416])).
% 14.93/3.21 thf(f416,plain,(
% 14.93/3.21 ((sP2 @ nat @ natStar) != $true) | ($true != $true) | spl17_12),
% 14.93/3.21 inference(superposition,[status(thm)],[f390,f102])).
% 14.93/3.21 thf(f102,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) | ($true != (sP2 @ X0 @ X1))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f75])).
% 14.93/3.21 thf(f75,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((($true = (sP2 @ X0 @ X1)) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ($true != (sP2 @ X0 @ X1))))),
% 14.93/3.21 inference(nnf_transformation,[status(thm)],[f57])).
% 14.93/3.21 thf(f57,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true = (sP2 @ X0 @ X1)) <=> ((isPer @ X0 @ X1) = $true))),
% 14.93/3.21 inference(definition_folding,[status(thm)],[f52,f56,f55])).
% 14.93/3.21 thf(f56,plain,(
% 14.93/3.21 ! [X1 : X0 > X0 > $o,X0 : $tType] : (($true = (sP2 @ X0 @ X1)) <=> (($true = (sP1 @ X0 @ X1)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))))),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 14.93/3.21 thf(f52,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))) <=> ((isPer @ X0 @ X1) = $true))),
% 14.93/3.21 inference(flattening,[status(thm)],[f51])).
% 14.93/3.21 thf(f51,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5))) & ! [X2 : X0,X3 : X0,X4 : X0] : ((((X1 @ X2 @ X4) = $true) | ((X1 @ X3 @ X4) != $true)) | ((X1 @ X2 @ X3) != $true))))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f17])).
% 14.93/3.21 thf(f17,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X5 : X0,X6 : X0] : (($true = (X1 @ X5 @ X6)) => ($true = (X1 @ X6 @ X5))) & ! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) => (((X1 @ X3 @ X4) = $true) => ((X1 @ X2 @ X4) = $true)))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f16])).
% 14.93/3.21 thf(f16,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X5 : X0,X6 : X0] : ((X1 @ X5 @ X6) => (X1 @ X6 @ X5))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f1])).
% 14.93/3.21 thf(f1,axiom,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) <=> (! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2))))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',is_per)).
% 14.93/3.21 thf(f390,plain,(
% 14.93/3.21 ($true != (isPer @ nat @ natStar)) | spl17_12),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f389])).
% 14.93/3.21 thf(f389,plain,(
% 14.93/3.21 ($true != (isPer @ nat @ natStar)) | ($true != $true) | spl17_12),
% 14.93/3.21 inference(superposition,[status(thm)],[f382,f86])).
% 14.93/3.21 thf(f86,plain,(
% 14.93/3.21 ( ! [X0 : $tType,X2 : nat,X1 : X0 > X0 > $o] : (($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))) | ((isPer @ X0 @ X1) != $true)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f43])).
% 14.93/3.21 thf(f43,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : nat] : ($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))))),
% 14.93/3.21 inference(ennf_transformation,[status(thm)],[f21])).
% 14.93/3.21 thf(f21,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat] : ($true = (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2))))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f20])).
% 14.93/3.21 thf(f20,plain,(
% 14.93/3.21 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat] : (isPer @ list @ X0 @ (listStar @ X0 @ X1 @ X2)))),
% 14.93/3.21 inference(rectify,[status(thm)],[f3])).
% 14.93/3.21 thf(f3,axiom,(
% 14.93/3.21 ! [X5 : $tType,X6 : X5 > X5 > $o] : ((isPer @ X5 @ X6) => ! [X7 : nat] : (isPer @ list @ X5 @ (listStar @ X5 @ X6 @ X7)))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p','\'listStar\'_is_per')).
% 14.93/3.21 thf(f382,plain,(
% 14.93/3.21 ((isPer @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero))) != $true) | spl17_12),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f381])).
% 14.93/3.21 thf(f381,plain,(
% 14.93/3.21 ($true != $true) | ((isPer @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero))) != $true) | spl17_12),
% 14.93/3.21 inference(superposition,[status(thm)],[f377,f86])).
% 14.93/3.21 thf(f377,plain,(
% 14.93/3.21 ((isPer @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero))) != $true) | spl17_12),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f376])).
% 14.93/3.21 thf(f470,plain,(
% 14.93/3.21 ((sP2 @ nat @ natStar) = $true) | ($true != (sP1 @ nat @ natStar)) | ~spl17_10),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f455,f106])).
% 14.93/3.21 thf(f106,plain,(
% 14.93/3.21 ( ! [X1 : nat] : (((natStar @ X1 @ X1) = $true)) )),
% 14.93/3.21 inference(equality_resolution,[status(thm)],[f89])).
% 14.93/3.21 thf(f89,plain,(
% 14.93/3.21 ( ! [X0 : nat,X1 : nat] : (($true = (natStar @ X0 @ X1)) | (X0 != X1)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f63])).
% 14.93/3.21 thf(f63,plain,(
% 14.93/3.21 ! [X0 : nat,X1 : nat] : ((($true = (natStar @ X0 @ X1)) | (X0 != X1)) & ((X0 = X1) | ($true != (natStar @ X0 @ X1))))),
% 14.93/3.21 inference(nnf_transformation,[status(thm)],[f25])).
% 14.93/3.21 thf(f25,plain,(
% 14.93/3.21 ! [X0 : nat,X1 : nat] : (($true = (natStar @ X0 @ X1)) <=> (X0 = X1))),
% 14.93/3.21 inference(fool_elimination,[status(thm)],[f24])).
% 14.93/3.21 thf(f24,plain,(
% 14.93/3.21 ! [X0 : nat,X1 : nat] : ((natStar @ X0 @ X1) <=> (X0 = X1))),
% 14.93/3.21 inference(rectify,[status(thm)],[f2])).
% 14.93/3.21 thf(f2,axiom,(
% 14.93/3.21 ! [X2 : nat,X3 : nat] : ((natStar @ X2 @ X3) <=> (X2 = X3))),
% 14.93/3.21 file('/export/starexec/sandbox2/tmp/tmp.PDiETQE9b8/DTF2THF_22378.p',natStar_is_eq)).
% 14.93/3.21 thf(f455,plain,(
% 14.93/3.21 ($true != (natStar @ (sK12 @ nat @ natStar) @ (sK12 @ nat @ natStar))) | ((sP2 @ nat @ natStar) = $true) | ($true != (sP1 @ nat @ natStar)) | ~spl17_10),
% 14.93/3.21 inference(superposition,[status(thm)],[f96,f301])).
% 14.93/3.21 thf(f301,plain,(
% 14.93/3.21 ((sK13 @ nat @ natStar) = (sK12 @ nat @ natStar)) | ~spl17_10),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f300])).
% 14.93/3.21 thf(f96,plain,(
% 14.93/3.21 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (($true != (X0 @ (sK13 @ X1 @ X0) @ (sK12 @ X1 @ X0))) | ($true != (sP1 @ X1 @ X0)) | ($true = (sP2 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f70])).
% 14.93/3.21 thf(f70,plain,(
% 14.93/3.21 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP2 @ X1 @ X0)) | ($true != (sP1 @ X1 @ X0)) | (($true = (X0 @ (sK12 @ X1 @ X0) @ (sK13 @ X1 @ X0))) & ($true != (X0 @ (sK13 @ X1 @ X0) @ (sK12 @ X1 @ X0))))) & ((($true = (sP1 @ X1 @ X0)) & ! [X4 : X1,X5 : X1] : (($true != (X0 @ X4 @ X5)) | ($true = (X0 @ X5 @ X4)))) | ($true != (sP2 @ X1 @ X0))))),
% 14.93/3.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f68,f69])).
% 14.93/3.21 thf(f69,plain,(
% 14.93/3.21 ! [X1 : $tType,X0 : X1 > X1 > $o] : (? [X2 : X1,X3 : X1] : (($true = (X0 @ X2 @ X3)) & ($true != (X0 @ X3 @ X2))) => (($true = (X0 @ (sK12 @ X1 @ X0) @ (sK13 @ X1 @ X0))) & ($true != (X0 @ (sK13 @ X1 @ X0) @ (sK12 @ X1 @ X0)))))),
% 14.93/3.21 introduced(definition,[],[choice_axiom])).
% 14.93/3.21 thf(f68,plain,(
% 14.93/3.21 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((($true = (sP2 @ X1 @ X0)) | ($true != (sP1 @ X1 @ X0)) | ? [X2 : X1,X3 : X1] : (($true = (X0 @ X2 @ X3)) & ($true != (X0 @ X3 @ X2)))) & ((($true = (sP1 @ X1 @ X0)) & ! [X4 : X1,X5 : X1] : (($true != (X0 @ X4 @ X5)) | ($true = (X0 @ X5 @ X4)))) | ($true != (sP2 @ X1 @ X0))))),
% 14.93/3.21 inference(rectify,[status(thm)],[f67])).
% 14.93/3.21 thf(f67,plain,(
% 14.93/3.21 ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP2 @ X0 @ X1)) | ($true != (sP1 @ X0 @ X1)) | ? [X5 : X0,X6 : X0] : (($true = (X1 @ X5 @ X6)) & ($true != (X1 @ X6 @ X5)))) & ((($true = (sP1 @ X0 @ X1)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))) | ($true != (sP2 @ X0 @ X1))))),
% 14.93/3.21 inference(flattening,[status(thm)],[f66])).
% 14.93/3.21 thf(f66,plain,(
% 14.93/3.21 ! [X1 : X0 > X0 > $o,X0 : $tType] : ((($true = (sP2 @ X0 @ X1)) | (($true != (sP1 @ X0 @ X1)) | ? [X5 : X0,X6 : X0] : (($true = (X1 @ X5 @ X6)) & ($true != (X1 @ X6 @ X5))))) & ((($true = (sP1 @ X0 @ X1)) & ! [X5 : X0,X6 : X0] : (($true != (X1 @ X5 @ X6)) | ($true = (X1 @ X6 @ X5)))) | ($true != (sP2 @ X0 @ X1))))),
% 14.93/3.21 inference(nnf_transformation,[status(thm)],[f56])).
% 14.93/3.21 thf(f464,plain,(
% 14.93/3.21 spl17_3 | spl17_13),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f194,f462,f171])).
% 14.93/3.21 thf(f194,plain,(
% 14.93/3.21 ((sK15 @ nat @ natStar) = (sK14 @ nat @ natStar)) | ($true = (sP1 @ nat @ natStar))),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f183])).
% 14.93/3.21 thf(f183,plain,(
% 14.93/3.21 ((sK15 @ nat @ natStar) = (sK14 @ nat @ natStar)) | ($true = (sP1 @ nat @ natStar)) | ($true != $true)),
% 14.93/3.21 inference(superposition,[status(thm)],[f88,f101])).
% 14.93/3.21 thf(f101,plain,(
% 14.93/3.21 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((X0 @ (sK14 @ X1 @ X0) @ (sK15 @ X1 @ X0)) = $true) | ($true = (sP1 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f74])).
% 14.93/3.21 thf(f88,plain,(
% 14.93/3.21 ( ! [X0 : nat,X1 : nat] : (($true != (natStar @ X0 @ X1)) | (X0 = X1)) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f63])).
% 14.93/3.21 thf(f419,plain,(
% 14.93/3.21 ~spl17_9 | spl17_12),
% 14.93/3.21 inference(avatar_contradiction_clause,[status(thm)],[f418])).
% 14.93/3.21 thf(f418,plain,(
% 14.93/3.21 $false | (~spl17_9 | spl17_12)),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f417,f298])).
% 14.93/3.21 thf(f298,plain,(
% 14.93/3.21 ((sP2 @ nat @ natStar) = $true) | ~spl17_9),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f297])).
% 14.93/3.21 thf(f297,definition,(
% 14.93/3.21 spl17_9 <=> ((sP2 @ nat @ natStar) = $true)),
% 14.93/3.21 introduced(definition,[new_symbols(naming,[spl17_9])],[avatar_definition])).
% 14.93/3.21 thf(f302,plain,(
% 14.93/3.21 spl17_9 | spl17_10 | ~spl17_3),
% 14.93/3.21 inference(avatar_split_clause,[status(thm)],[f295,f171,f300,f297])).
% 14.93/3.21 thf(f295,plain,(
% 14.93/3.21 ((sK13 @ nat @ natStar) = (sK12 @ nat @ natStar)) | ((sP2 @ nat @ natStar) = $true) | ~spl17_3),
% 14.93/3.21 inference(subsumption_resolution,[status(thm)],[f291,f172])).
% 14.93/3.21 thf(f172,plain,(
% 14.93/3.21 ($true = (sP1 @ nat @ natStar)) | ~spl17_3),
% 14.93/3.21 inference(avatar_component_clause,[status(thm)],[f171])).
% 14.93/3.21 thf(f291,plain,(
% 14.93/3.21 ((sP2 @ nat @ natStar) = $true) | ($true != (sP1 @ nat @ natStar)) | ((sK13 @ nat @ natStar) = (sK12 @ nat @ natStar))),
% 14.93/3.21 inference(trivial_inequality_removal,[status(thm)],[f283])).
% 14.93/3.21 thf(f283,plain,(
% 14.93/3.21 ($true != (sP1 @ nat @ natStar)) | ($true != $true) | ((sK13 @ nat @ natStar) = (sK12 @ nat @ natStar)) | ((sP2 @ nat @ natStar) = $true)),
% 14.93/3.21 inference(superposition,[status(thm)],[f88,f97])).
% 14.93/3.21 thf(f97,plain,(
% 14.93/3.21 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (($true = (X0 @ (sK12 @ X1 @ X0) @ (sK13 @ X1 @ X0))) | ($true = (sP2 @ X1 @ X0)) | ($true != (sP1 @ X1 @ X0))) )),
% 14.93/3.21 inference(cnf_transformation,[status(thm)],[f70])).
% 14.93/3.21 % SZS output end Proof for DTF2THF_22378
% 14.93/3.21 % (22815)------------------------------
% 14.93/3.21 % (22815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.93/3.21 % (22815)Termination reason: Refutation
% 14.93/3.21
% 14.93/3.21 % (22815)Memory used [KB]: 9338
% 14.93/3.21 % (22815)Time elapsed: 1.130 s
% 14.93/3.21 % (22815)Instructions burned: 3784 (million)
% 14.93/3.21 % (22815)------------------------------
% 14.93/3.21 % (22815)------------------------------
% 14.93/3.21 % (22654)Success in time 1.926 s
%------------------------------------------------------------------------------