%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT372^1 : 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 : n007.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 08:45:35 AM UTC 2026
% Result : Theorem 49.81s 8.48s
% Output : Refutation 49.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT372^1 : TPTP v9.2.1. Released v9.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n007.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 06:15:38 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : DAT372^1 : TPTP v9.2.1. Released v9.2.0.
% 0.19/0.46 % Domain : Data Structures
% 0.19/0.46 % Problem : Associativity of list append polymorphic, induction step 5a typed
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English :
% 0.19/0.46
% 0.19/0.46 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.19/0.46 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.19/0.46 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.19/0.46 % Source : [Rot25]
% 0.19/0.46 % Names : ListAppAssoc/list-app-assoc-indstep5-typeInstantiated_alt.p [Rot25]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : ? v9.2.0
% 0.19/0.46 % Syntax : Number of formulae : 17 ( 5 unt; 8 typ; 0 def)
% 0.19/0.46 % Number of atoms : 14 ( 14 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 3 ( 1 avg)
% 0.19/0.46 % Number of connectives : 893 ( 0 ~; 0 |; 0 &; 888 @)
% 0.19/0.46 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 10 ( 7 avg)
% 0.19/0.46 % Number of types : 1 ( 1 usr)
% 0.19/0.46 % Number of type decls : 8 ( 3 !>P; 2 !>D)
% 0.19/0.46 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 8 ( 7 usr; 1 con; 0-5 aty)
% 0.19/0.46 % Number of variables : 55 ( 0 ^; 49 !; 0 ?; 55 :)
% 0.19/0.46 % ( 6 !>; 0 ?*; 0 @-; 0 @+)
% 0.19/0.46 % SPC : DH1_THM_EQU_NAR
% 0.19/0.46
% 0.19/0.46 % Comments :
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(nat_type,type,
% 0.19/0.46 nat: $tType ).
% 0.19/0.46
% 0.19/0.46 thf(zero_type,type,
% 0.19/0.46 zero: nat ).
% 0.19/0.46
% 0.19/0.46 thf(suc_type,type,
% 0.19/0.46 suc: nat > nat ).
% 0.19/0.46
% 0.19/0.46 thf(plus_type,type,
% 0.19/0.46 plus: nat > nat > nat ).
% 0.19/0.46
% 0.19/0.46 thf(list_type,type,
% 0.19/0.46 list: $tType > nat > $tType ).
% 0.19/0.46
% 0.19/0.46 thf(nil_type,type,
% 0.19/0.46 nil:
% 0.19/0.46 !>[A: $tType] : ( list @ A @ zero ) ).
% 0.19/0.46
% 0.19/0.46 thf(cons_type,type,
% 0.19/0.46 cons:
% 0.19/0.46 !>[A: $tType,N: nat] : ( A > ( list @ A @ N ) > ( list @ A @ ( suc @ N ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(app_type,type,
% 0.19/0.46 app:
% 0.19/0.46 !>[A: $tType,N: nat,M: nat] : ( ( list @ A @ N ) > ( list @ A @ M ) > ( list @ A @ ( plus @ N @ M ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(ax2,axiom,
% 0.19/0.46 ! [N: nat,M: nat] :
% 0.19/0.46 ( ( plus @ ( suc @ N ) @ M )
% 0.19/0.46 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(ax4,axiom,
% 0.19/0.46 ! [A: $tType,N: nat,M: nat,X: A,Y: list @ A @ N,Z: list @ A @ M] :
% 0.19/0.46 ( ( app @ A @ ( suc @ N ) @ M @ ( cons @ A @ N @ X @ Y ) @ Z )
% 0.19/0.46 = ( cons @ A @ ( plus @ N @ M ) @ X @ ( app @ A @ N @ M @ Y @ Z ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(plus_assoc,axiom,
% 0.19/0.46 ! [M1: nat,M2: nat,M3: nat] :
% 0.19/0.46 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 0.19/0.46 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(plus_s_a,axiom,
% 0.19/0.46 ! [N: nat,M: nat,K: nat] :
% 0.19/0.46 ( ( suc @ ( plus @ ( plus @ N @ M ) @ K ) )
% 0.19/0.46 = ( plus @ ( suc @ N ) @ ( plus @ M @ K ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(list_app_assoc_indstep1,axiom,
% 0.19/0.46 ! [M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3,M: nat,X: list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ),L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M] :
% 0.19/0.46 ( ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ ( plus @ M @ M2 ) ) @ M3 @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ M @ M2 ) @ X @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ M2 @ L @ L2 ) ) @ L3 ) )
% 0.19/0.46 => ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ M2 @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(list_app_assoc_indstep2,axiom,
% 0.19/0.46 ! [M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3,M: nat,X: list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ),L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M] :
% 0.19/0.46 ( ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( plus @ M @ M2 ) @ M3 ) @ X @ ( 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 ) ) )
% 0.19/0.46 => ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ ( plus @ M @ M2 ) ) @ M3 @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ M @ M2 ) @ X @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ M2 @ L @ L2 ) ) @ L3 ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(list_app_assoc_indstep3,axiom,
% 0.19/0.46 ! [M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3,M: nat,X: list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ),L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M] :
% 0.19/0.46 ( ( ( 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 ) )
% 0.19/0.46 = ( 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 ) )
% 0.19/0.46 => ( ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ M @ ( plus @ M2 @ M3 ) ) @ X @ ( 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 ) ) ) )
% 0.19/0.46 => ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( plus @ M @ M2 ) @ M3 ) @ X @ ( 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 ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(list_app_assoc_indstep4,axiom,
% 0.19/0.46 ! [M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3,M: nat,X: list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ),L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M] :
% 0.19/0.46 ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ M @ ( plus @ M2 @ M3 ) ) @ X @ ( 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 ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(list_app_assoc_indstep,conjecture,
% 0.19/0.46 ! [M2: nat,L2: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2,M3: nat,L3: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3,M: nat,X: list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ),L: list @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M] :
% 0.19/0.46 ( ( ( 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 ) )
% 0.19/0.46 = ( 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 ) )
% 0.19/0.46 => ( ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ M3 @ L2 @ L3 ) )
% 0.19/0.46 = ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( suc @ M ) @ M2 @ ( cons @ ( list @ ( list @ nat @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 2.01/1.39 ---- Embedded in THF ---
% 2.01/1.39 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.01/1.39 %%% Generated on Tue Feb 24 06:15:39 EST 2026
% 2.01/1.39 %%% using '$$dhol' embedding, version 1.3.0.
% 2.01/1.39 %%% Logic specification used:
% 2.01/1.39 %%% thf(spec, logic, $$dhol).
% 2.01/1.39
% 2.01/1.39 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2DTF6459.p
% 2.01/1.39 thf(is_per_type, type, isPer: (!> [A:$tType]: (((A > (A > $o)) > $o)))).
% 2.01/1.39 thf(is_per, definition, (! [A:$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)))))))))).
% 2.01/1.39 thf(nat_type, type, nat: $tType).
% 2.01/1.39 thf(natStar, type, 'natStar': (nat > (nat > $o))).
% 2.01/1.39 thf(natStar_is_eq, axiom, (! [X:nat,Y:nat]: (((('natStar' @ X) @ Y) <=> (X = Y))))).
% 2.01/1.39 thf(zero_type, type, zero: nat).
% 2.01/1.39 thf(suc_type, type, suc: (nat > nat)).
% 2.01/1.39 thf(plus_type, type, plus: (nat > (nat > nat))).
% 2.01/1.39 thf(list_type, type, list: ($tType > $tType)).
% 2.01/1.39 thf(listStar, type, 'listStar': (!> [A:$tType]: (((A > (A > $o)) > (nat > ((list @ A) > ((list @ A) > $o))))))).
% 2.01/1.39 thf('\'listStar\'_is_per', axiom, (! [B:$tType,BStar:(B > (B > $o))]: ((((isPer @ B) @ BStar) => (! [C:nat]: (((isPer @ (list @ B)) @ (((listStar @ B) @ BStar) @ C)))))))).
% 2.01/1.39 thf(nil_type, type, nil: (!> [A:$tType]: ((list @ A)))).
% 2.01/1.39 thf(nil_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (((((listStar @ A) @ AStar) @ zero) @ (nil @ A)) @ (nil @ A)))))).
% 2.01/1.39 thf(cons_type, type, cons: (!> [A:$tType]: ((nat > (A > ((list @ A) > (list @ A))))))).
% 2.01/1.39 thf(cons_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:A,D_prime:A]: (((D = D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ (suc @ N)) @ ((((cons @ A) @ N) @ D) @ D0)) @ ((((cons @ A) @ N) @ D_prime) @ D0_prime)))))))))))))).
% 2.01/1.39 thf(app_type, type, app: (!> [A:$tType]: ((nat > (nat > ((list @ A) > ((list @ A) > (list @ A)))))))).
% 2.01/1.39 thf(app_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [M:nat]: ((! [D:(list @ A),D_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ D) @ D_prime) => (! [D0:(list @ A),D0_prime:(list @ A)]: (((((((listStar @ A) @ AStar) @ M) @ D0) @ D0_prime) => (((((listStar @ A) @ AStar) @ ((plus @ N) @ M)) @ (((((app @ A) @ N) @ M) @ D) @ D0)) @ (((((app @ A) @ N) @ M) @ D_prime) @ D0_prime)))))))))))))))).
% 2.01/1.39 thf(ax2, axiom, (! [N:nat]: ((! [M:nat]: ((((plus @ (suc @ N)) @ M) = (suc @ ((plus @ N) @ M)))))))).
% 2.01/1.39 thf(ax4, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [M:nat]: ((! [X:A]: ((! [Y:(list @ A),Z:(list @ A)]: (((((((listStar @ A) @ AStar) @ N) @ Y) @ Y) => ((((((listStar @ A) @ AStar) @ M) @ Z) @ Z) => (((((listStar @ A) @ AStar) @ ((plus @ (suc @ N)) @ M)) @ (((((app @ A) @ (suc @ N)) @ M) @ ((((cons @ A) @ N) @ X) @ Y)) @ Z)) @ ((((cons @ A) @ ((plus @ N) @ M)) @ X) @ (((((app @ A) @ N) @ M) @ Y) @ Z))))))))))))))))).
% 2.01/1.39 thf(plus_assoc, axiom, (! [M1:nat]: ((! [M2:nat]: ((! [M3:nat]: ((((plus @ M1) @ ((plus @ M2) @ M3)) = ((plus @ ((plus @ M1) @ M2)) @ M3))))))))).
% 2.01/1.39 thf(plus_s_a, axiom, (! [N:nat]: ((! [M:nat]: ((! [K:nat]: (((suc @ ((plus @ ((plus @ N) @ M)) @ K)) = ((plus @ (suc @ N)) @ ((plus @ M) @ K)))))))))).
% 2.01/1.39 thf(list_app_assoc_indstep1, axiom, (! [M2:nat]: ((! [L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat))),M:nat,X:(list @ (list @ nat)),L:(list @ (list @ (list @ nat)))]: (((((((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 @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero)) @ X) @ X) => ((((((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))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ ((plus @ M) @ M2))) @ M3) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ M) @ M2)) @ X) @ (((((app @ (list @ (list @ nat))) @ M) @ M2) @ L) @ L2))) @ L3)) => (((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ (list @ (list @ nat))) @ ((plus @ (suc @ M)) @ M2)) @ M3) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ M2) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ L2)) @ L3)))))))))))).
% 2.01/1.39 thf(list_app_assoc_indstep2, axiom, (! [M2:nat]: ((! [L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat))),M:nat,X:(list @ (list @ nat)),L:(list @ (list @ (list @ nat)))]: (((((((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 @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero)) @ X) @ X) => ((((((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))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ ((plus @ M) @ M2)) @ M3)) @ X) @ (((((app @ (list @ (list @ nat))) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ (list @ (list @ nat))) @ M) @ M2) @ L) @ L2)) @ L3))) => (((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ ((plus @ M) @ M2))) @ M3) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ M) @ M2)) @ X) @ (((((app @ (list @ (list @ nat))) @ M) @ M2) @ L) @ L2))) @ L3)))))))))))).
% 2.01/1.39 thf(list_app_assoc_indstep3, axiom, (! [M2:nat]: ((! [L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat))),M:nat,X:(list @ (list @ nat)),L:(list @ (list @ (list @ nat)))]: (((((((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 @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero)) @ X) @ X) => ((((((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))) @ ((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)) => ((((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ M) @ ((plus @ M2) @ M3))) @ X) @ (((((app @ (list @ (list @ nat))) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3)))) => (((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ ((plus @ M) @ M2)) @ M3)) @ X) @ (((((app @ (list @ (list @ nat))) @ ((plus @ M) @ M2)) @ M3) @ (((((app @ (list @ (list @ nat))) @ M) @ M2) @ L) @ L2)) @ L3)))))))))))))).
% 2.01/1.39 thf(list_app_assoc_indstep4, axiom, (! [M2:nat]: ((! [L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat))),M:nat,X:(list @ (list @ nat)),L:(list @ (list @ (list @ nat)))]: (((((((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 @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero)) @ X) @ X) => ((((((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))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ ((((cons @ (list @ (list @ nat))) @ ((plus @ M) @ ((plus @ M2) @ M3))) @ X) @ (((((app @ (list @ (list @ nat))) @ M) @ ((plus @ M2) @ M3)) @ L) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))))))))))))).
% 2.01/1.39 thf(list_app_assoc_indstep, conjecture, (! [M2:nat]: ((! [L2:(list @ (list @ (list @ nat))),M3:nat,L3:(list @ (list @ (list @ nat))),M:nat,X:(list @ (list @ nat)),L:(list @ (list @ (list @ nat)))]: (((((((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 @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero)) @ X) @ X) => ((((((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))) @ ((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)) => (((((listStar @ (list @ (list @ nat))) @ (((listStar @ (list @ nat)) @ (((listStar @ nat) @ natStar) @ (suc @ zero))) @ (suc @ zero))) @ ((plus @ (suc @ ((plus @ M2) @ M3))) @ ((plus @ M2) @ M3))) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ ((plus @ M2) @ M3)) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ (((((app @ (list @ (list @ nat))) @ M2) @ M3) @ L2) @ L3))) @ (((((app @ (list @ (list @ nat))) @ ((plus @ (suc @ M)) @ M2)) @ M3) @ (((((app @ (list @ (list @ nat))) @ (suc @ M)) @ M2) @ ((((cons @ (list @ (list @ nat))) @ M) @ X) @ L)) @ L2)) @ L3)))))))))))).
% 2.01/1.39 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2DTF6459.p
% 2.01/1.39 ------------------------
% 2.36/1.41 ---- Cleaned THF ---
% 2.36/1.41 thf(is_per_type,type,
% 2.36/1.41 isPer:
% 2.36/1.41 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 2.36/1.41
% 2.36/1.41 thf(is_per,definition,
% 2.36/1.41 ! [A: $tType,AStar: A > A > $o] :
% 2.36/1.41 ( ( isPer @ A @ AStar )
% 2.36/1.41 <=> ( ! [X: A,Y: A] :
% 2.36/1.41 ( ( AStar @ X @ Y )
% 2.36/1.41 => ( AStar @ Y @ X ) )
% 2.36/1.41 & ! [X: A,Y: A,Z: A] :
% 2.36/1.41 ( ( AStar @ X @ Y )
% 2.36/1.41 => ( ( AStar @ Y @ Z )
% 2.36/1.41 => ( AStar @ X @ Z ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(nat_type,type,
% 2.36/1.41 nat: $tType ).
% 2.36/1.41
% 2.36/1.41 thf(natStar,type,
% 2.36/1.41 natStar: nat > nat > $o ).
% 2.36/1.41
% 2.36/1.41 thf(natStar_is_eq,axiom,
% 2.36/1.41 ! [X: nat,Y: nat] :
% 2.36/1.41 ( ( natStar @ X @ Y )
% 2.36/1.41 <=> ( X = Y ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(zero_type,type,
% 2.36/1.41 zero: nat ).
% 2.36/1.41
% 2.36/1.41 thf(suc_type,type,
% 2.36/1.41 suc: nat > nat ).
% 2.36/1.41
% 2.36/1.41 thf(plus_type,type,
% 2.36/1.41 plus: nat > nat > nat ).
% 2.36/1.41
% 2.36/1.41 thf(list_type,type,
% 2.36/1.41 list: $tType > $tType ).
% 2.36/1.41
% 2.36/1.41 thf(listStar,type,
% 2.36/1.41 listStar:
% 2.36/1.41 !>[A: $tType] : ( ( A > A > $o ) > nat > ( list @ A ) > ( list @ A ) > $o ) ).
% 2.36/1.41
% 2.36/1.41 thf('\'listStar\'_is_per',axiom,
% 2.36/1.41 ! [B: $tType,BStar: B > B > $o] :
% 2.36/1.41 ( ( isPer @ B @ BStar )
% 2.36/1.41 => ! [C: nat] : ( isPer @ ( list @ B ) @ ( listStar @ B @ BStar @ C ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(nil_type,type,
% 2.36/1.41 nil:
% 2.36/1.41 !>[A: $tType] : ( list @ A ) ).
% 2.36/1.41
% 2.36/1.41 thf(nil_tp_ax,axiom,
% 2.36/1.41 ! [A: $tType,AStar: A > A > $o] :
% 2.36/1.41 ( ( isPer @ A @ AStar )
% 2.36/1.41 => ( listStar @ A @ AStar @ zero @ ( nil @ A ) @ ( nil @ A ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(cons_type,type,
% 2.36/1.41 cons:
% 2.36/1.41 !>[A: $tType] : ( nat > A > ( list @ A ) > ( list @ A ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(cons_tp_ax,axiom,
% 2.36/1.41 ! [A: $tType,AStar: A > A > $o] :
% 2.36/1.41 ( ( isPer @ A @ AStar )
% 2.36/1.41 => ! [N: nat,D: A,D_prime: A] :
% 2.36/1.41 ( ( D = D_prime )
% 2.36/1.41 => ! [D0: list @ A,D0_prime: list @ A] :
% 2.36/1.41 ( ( listStar @ A @ AStar @ N @ D0 @ D0_prime )
% 2.36/1.41 => ( listStar @ A @ AStar @ ( suc @ N ) @ ( cons @ A @ N @ D @ D0 ) @ ( cons @ A @ N @ D_prime @ D0_prime ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(app_type,type,
% 2.36/1.41 app:
% 2.36/1.41 !>[A: $tType] : ( nat > nat > ( list @ A ) > ( list @ A ) > ( list @ A ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(app_tp_ax,axiom,
% 2.36/1.41 ! [A: $tType,AStar: A > A > $o] :
% 2.36/1.41 ( ( isPer @ A @ AStar )
% 2.36/1.41 => ! [N: nat,M: nat,D: list @ A,D_prime: list @ A] :
% 2.36/1.41 ( ( listStar @ A @ AStar @ N @ D @ D_prime )
% 2.36/1.41 => ! [D0: list @ A,D0_prime: list @ A] :
% 2.36/1.41 ( ( listStar @ A @ AStar @ M @ D0 @ D0_prime )
% 2.36/1.41 => ( listStar @ A @ AStar @ ( plus @ N @ M ) @ ( app @ A @ N @ M @ D @ D0 ) @ ( app @ A @ N @ M @ D_prime @ D0_prime ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(ax2,axiom,
% 2.36/1.41 ! [N: nat,M: nat] :
% 2.36/1.41 ( ( plus @ ( suc @ N ) @ M )
% 2.36/1.41 = ( suc @ ( plus @ N @ M ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(ax4,axiom,
% 2.36/1.41 ! [A: $tType,AStar: A > A > $o] :
% 2.36/1.41 ( ( isPer @ A @ AStar )
% 2.36/1.41 => ! [N: nat,M: nat,X: A,Y: list @ A,Z: list @ A] :
% 2.36/1.41 ( ( listStar @ A @ AStar @ N @ Y @ Y )
% 2.36/1.41 => ( ( listStar @ A @ AStar @ M @ Z @ Z )
% 2.36/1.41 => ( listStar @ A @ AStar @ ( plus @ ( suc @ N ) @ M ) @ ( app @ A @ ( suc @ N ) @ M @ ( cons @ A @ N @ X @ Y ) @ Z ) @ ( cons @ A @ ( plus @ N @ M ) @ X @ ( app @ A @ N @ M @ Y @ Z ) ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(plus_assoc,axiom,
% 2.36/1.41 ! [M1: nat,M2: nat,M3: nat] :
% 2.36/1.41 ( ( plus @ M1 @ ( plus @ M2 @ M3 ) )
% 2.36/1.41 = ( plus @ ( plus @ M1 @ M2 ) @ M3 ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(plus_s_a,axiom,
% 2.36/1.41 ! [N: nat,M: nat,K: nat] :
% 2.36/1.41 ( ( suc @ ( plus @ ( plus @ N @ M ) @ K ) )
% 2.36/1.41 = ( plus @ ( suc @ N ) @ ( plus @ M @ K ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(list_app_assoc_indstep1,axiom,
% 2.36/1.41 ! [M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) ),M: nat,X: list @ ( list @ nat ),L: list @ ( list @ ( list @ nat ) )] :
% 2.36/1.41 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 2.36/1.41 => ( ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) @ X @ X )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ ( plus @ M @ M2 ) ) @ M3 @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ M @ M2 ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ M @ M2 @ L @ L2 ) ) @ L3 ) )
% 2.36/1.41 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ M2 @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(list_app_assoc_indstep2,axiom,
% 2.36/1.41 ! [M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) ),M: nat,X: list @ ( list @ nat ),L: list @ ( list @ ( list @ nat ) )] :
% 2.36/1.41 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 2.36/1.41 => ( ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) @ X @ X )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ ( plus @ M @ M2 ) @ M3 ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ ( plus @ M @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat ) ) @ M @ M2 @ L @ L2 ) @ L3 ) ) )
% 2.36/1.41 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ ( plus @ M @ M2 ) ) @ M3 @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ M @ M2 ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ M @ M2 @ L @ L2 ) ) @ L3 ) ) ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(list_app_assoc_indstep3,axiom,
% 2.36/1.41 ! [M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) ),M: nat,X: list @ ( list @ nat ),L: list @ ( list @ ( list @ nat ) )] :
% 2.36/1.41 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 2.36/1.41 => ( ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) @ X @ X )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 2.36/1.41 => ( ( 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 ) )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ M @ ( plus @ M2 @ M3 ) ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) ) )
% 2.36/1.41 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ ( plus @ M @ M2 ) @ M3 ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ ( plus @ M @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat ) ) @ M @ M2 @ L @ L2 ) @ L3 ) ) ) ) ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(list_app_assoc_indstep4,axiom,
% 2.36/1.41 ! [M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) ),M: nat,X: list @ ( list @ nat ),L: list @ ( list @ ( list @ nat ) )] :
% 2.36/1.41 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 2.36/1.41 => ( ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) @ X @ X )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 2.36/1.41 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( cons @ ( list @ ( list @ nat ) ) @ ( plus @ M @ ( plus @ M2 @ M3 ) ) @ X @ ( app @ ( list @ ( list @ nat ) ) @ M @ ( plus @ M2 @ M3 ) @ L @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) ) ) ) ) ) ) ).
% 2.36/1.41
% 2.36/1.41 thf(list_app_assoc_indstep,conjecture,
% 2.36/1.41 ! [M2: nat,L2: list @ ( list @ ( list @ nat ) ),M3: nat,L3: list @ ( list @ ( list @ nat ) ),M: nat,X: list @ ( list @ nat ),L: list @ ( list @ ( list @ nat ) )] :
% 2.36/1.41 ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M2 @ L2 @ L2 )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M3 @ L3 @ L3 )
% 2.36/1.41 => ( ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) @ X @ X )
% 2.36/1.41 => ( ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ M @ L @ L )
% 2.36/1.41 => ( ( 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 ) )
% 2.36/1.41 => ( listStar @ ( list @ ( list @ nat ) ) @ ( listStar @ ( list @ nat ) @ ( listStar @ nat @ natStar @ ( suc @ zero ) ) @ ( suc @ zero ) ) @ ( plus @ ( suc @ ( plus @ M2 @ M3 ) ) @ ( plus @ M2 @ M3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ ( plus @ M2 @ M3 ) @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ ( app @ ( list @ ( list @ nat ) ) @ M2 @ M3 @ L2 @ L3 ) ) @ ( app @ ( list @ ( list @ nat ) ) @ ( plus @ ( suc @ M ) @ M2 ) @ M3 @ ( app @ ( list @ ( list @ nat ) ) @ ( suc @ M ) @ M2 @ ( cons @ ( list @ ( list @ nat ) ) @ M @ X @ L ) @ L2 ) @ L3 ) ) ) ) ) ) ) ).
% 2.36/1.41 ------------------------
% 2.36/1.42 % (6608)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_6459 for (2999ds/27Mi)
% 2.36/1.42 % (6610)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_6459 for (2999ds/2Mi)
% 2.36/1.42 % (6612)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/18Mi)
% 2.36/1.42 % (6607)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_6459 for (2999ds/4Mi)
% 2.36/1.42 % (6611)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_6459 for (2999ds/275Mi)
% 2.36/1.42 % (6610)Instruction limit reached!
% 2.36/1.42 % (6610)------------------------------
% 2.36/1.42 % (6610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.42 % (6606)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/183Mi)
% 2.36/1.42 % (6610)Termination reason: Unknown
% 2.36/1.42 % (6610)Termination phase: shuffling
% 2.36/1.42
% 2.36/1.42 % (6610)Memory used [KB]: 1023
% 2.36/1.42 % (6610)Time elapsed: 0.003 s
% 2.36/1.42 % (6610)Instructions burned: 5 (million)
% 2.36/1.42 % (6610)------------------------------
% 2.36/1.42 % (6610)------------------------------
% 2.36/1.42 % (6607)Instruction limit reached!
% 2.36/1.42 % (6607)------------------------------
% 2.36/1.42 % (6607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.42 % (6607)Termination reason: Unknown
% 2.36/1.42 % (6607)Termination phase: shuffling
% 2.36/1.42
% 2.36/1.42 % (6607)Memory used [KB]: 1023
% 2.36/1.42 % (6607)Time elapsed: 0.003 s
% 2.36/1.42 % (6607)Instructions burned: 5 (million)
% 2.36/1.42 % (6607)------------------------------
% 2.36/1.42 % (6607)------------------------------
% 2.36/1.43 % (6612)Instruction limit reached!
% 2.36/1.43 % (6612)------------------------------
% 2.36/1.43 % (6612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.43 % (6612)Termination reason: Unknown
% 2.36/1.43 % (6612)Termination phase: Property scanning
% 2.36/1.43
% 2.36/1.43 % (6612)Memory used [KB]: 1023
% 2.36/1.43 % (6612)Time elapsed: 0.007 s
% 2.36/1.43 % (6612)Instructions burned: 19 (million)
% 2.36/1.43 % (6612)------------------------------
% 2.36/1.43 % (6612)------------------------------
% 2.36/1.43 % (6609)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/2Mi)
% 2.36/1.43 % (6608)Instruction limit reached!
% 2.36/1.43 % (6608)------------------------------
% 2.36/1.43 % (6608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.43 % (6608)Termination reason: Unknown
% 2.36/1.43 % (6608)Termination phase: Property scanning
% 2.36/1.43
% 2.36/1.43 % (6608)Memory used [KB]: 1151
% 2.36/1.43 % (6608)Time elapsed: 0.010 s
% 2.36/1.43 % (6608)Instructions burned: 30 (million)
% 2.36/1.43 % (6608)------------------------------
% 2.36/1.43 % (6608)------------------------------
% 2.36/1.43 % (6609)Instruction limit reached!
% 2.36/1.43 % (6609)------------------------------
% 2.36/1.43 % (6609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.43 % (6609)Termination reason: Unknown
% 2.36/1.43 % (6609)Termination phase: shuffling
% 2.36/1.43
% 2.36/1.43 % (6609)Memory used [KB]: 1023
% 2.36/1.43 % (6609)Time elapsed: 0.003 s
% 2.36/1.43 % (6609)Instructions burned: 2 (million)
% 2.36/1.43 % (6609)------------------------------
% 2.36/1.43 % (6609)------------------------------
% 2.36/1.43 % (6616)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/3Mi)
% 2.36/1.43 % (6616)Instruction limit reached!
% 2.36/1.43 % (6616)------------------------------
% 2.36/1.43 % (6616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.43 % (6616)Termination reason: Unknown
% 2.36/1.43 % (6616)Termination phase: shuffling
% 2.36/1.43
% 2.36/1.43 % (6616)Memory used [KB]: 1023
% 2.36/1.43 % (6616)Time elapsed: 0.002 s
% 2.36/1.43 % (6616)Instructions burned: 4 (million)
% 2.36/1.43 % (6616)------------------------------
% 2.36/1.43 % (6616)------------------------------
% 2.36/1.44 % (6617)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_6459 for (2999ds/37Mi)
% 2.36/1.44 % (6611)Refutation not found, incomplete strategy
% 2.36/1.44 % (6611)------------------------------
% 2.36/1.44 % (6611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.44 % (6611)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.44
% 2.36/1.44
% 2.36/1.44 % (6611)Memory used [KB]: 5628
% 2.36/1.44 % (6611)Time elapsed: 0.015 s
% 2.36/1.44 % (6611)Instructions burned: 44 (million)
% 2.36/1.44 % (6611)------------------------------
% 2.36/1.44 % (6611)------------------------------
% 2.36/1.44 % (6619)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_6459 for (2999ds/15Mi)
% 2.36/1.44 % (6621)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_6459 for (2999ds/3Mi)
% 2.36/1.44 % (6621)Instruction limit reached!
% 2.36/1.44 % (6621)------------------------------
% 2.36/1.44 % (6621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.44 % (6621)Termination reason: Unknown
% 2.36/1.44 % (6621)Termination phase: shuffling
% 2.36/1.44
% 2.36/1.44 % (6621)Memory used [KB]: 1023
% 2.36/1.44 % (6621)Time elapsed: 0.003 s
% 2.36/1.44 % (6621)Instructions burned: 4 (million)
% 2.36/1.44 % (6621)------------------------------
% 2.36/1.44 % (6621)------------------------------
% 2.36/1.45 % (6619)Instruction limit reached!
% 2.36/1.45 % (6619)------------------------------
% 2.36/1.45 % (6619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.45 % (6619)Termination reason: Unknown
% 2.36/1.45 % (6619)Termination phase: shuffling
% 2.36/1.45
% 2.36/1.45 % (6619)Memory used [KB]: 1023
% 2.36/1.45 % (6619)Time elapsed: 0.009 s
% 2.36/1.45 % (6619)Instructions burned: 15 (million)
% 2.36/1.45 % (6619)------------------------------
% 2.36/1.45 % (6619)------------------------------
% 2.36/1.45 % (6623)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/7Mi)
% 2.36/1.45 % (6617)Instruction limit reached!
% 2.36/1.45 % (6617)------------------------------
% 2.36/1.45 % (6617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.45 % (6617)Termination reason: Unknown
% 2.36/1.45 % (6617)Termination phase: Saturation
% 2.36/1.45
% 2.36/1.45 % (6617)Memory used [KB]: 5628
% 2.36/1.45 % (6617)Time elapsed: 0.017 s
% 2.36/1.45 % (6617)Instructions burned: 37 (million)
% 2.36/1.45 % (6617)------------------------------
% 2.36/1.45 % (6617)------------------------------
% 2.36/1.45 % (6623)Instruction limit reached!
% 2.36/1.45 % (6623)------------------------------
% 2.36/1.45 % (6623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.45 % (6623)Termination reason: Unknown
% 2.36/1.45 % (6623)Termination phase: shuffling
% 2.36/1.45
% 2.36/1.45 % (6623)Memory used [KB]: 1023
% 2.36/1.45 % (6623)Time elapsed: 0.004 s
% 2.36/1.45 % (6623)Instructions burned: 7 (million)
% 2.36/1.45 % (6623)------------------------------
% 2.36/1.45 % (6623)------------------------------
% 2.36/1.45 % (6622)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_6459 for (2999ds/1041Mi)
% 2.36/1.46 % (6632)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_6459 for (2999ds/3Mi)
% 2.36/1.46 % (6628)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/16Mi)
% 2.36/1.46 % (6632)Instruction limit reached!
% 2.36/1.46 % (6632)------------------------------
% 2.36/1.46 % (6632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.46 % (6632)Termination reason: Unknown
% 2.36/1.46 % (6632)Termination phase: shuffling
% 2.36/1.46
% 2.36/1.46 % (6632)Memory used [KB]: 1023
% 2.36/1.46 % (6632)Time elapsed: 0.003 s
% 2.36/1.46 % (6632)Instructions burned: 4 (million)
% 2.36/1.46 % (6632)------------------------------
% 2.36/1.46 % (6632)------------------------------
% 2.36/1.46 % (6633)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_6459 for (2999ds/3Mi)
% 2.36/1.46 % (6634)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/7Mi)
% 2.36/1.46 % (6633)Instruction limit reached!
% 2.36/1.46 % (6633)------------------------------
% 2.36/1.46 % (6633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.46 % (6633)Termination reason: Unknown
% 2.36/1.46 % (6633)Termination phase: shuffling
% 2.36/1.46
% 2.36/1.46 % (6633)Memory used [KB]: 1023
% 2.36/1.46 % (6633)Time elapsed: 0.003 s
% 2.36/1.46 % (6633)Instructions burned: 4 (million)
% 2.36/1.46 % (6633)------------------------------
% 2.36/1.46 % (6633)------------------------------
% 2.36/1.47 % (6635)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/3Mi)
% 2.36/1.47 % (6634)Instruction limit reached!
% 2.36/1.47 % (6634)------------------------------
% 2.36/1.47 % (6634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.47 % (6634)Termination reason: Unknown
% 2.36/1.47 % (6634)Termination phase: shuffling
% 2.36/1.47
% 2.36/1.47 % (6634)Memory used [KB]: 1023
% 2.36/1.47 % (6634)Time elapsed: 0.005 s
% 2.36/1.47 % (6634)Instructions burned: 8 (million)
% 2.36/1.47 % (6634)------------------------------
% 2.36/1.47 % (6634)------------------------------
% 2.36/1.47 % (6635)Instruction limit reached!
% 2.36/1.47 % (6635)------------------------------
% 2.36/1.47 % (6635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.47 % (6635)Termination reason: Unknown
% 2.36/1.47 % (6635)Termination phase: shuffling
% 2.36/1.47
% 2.36/1.47 % (6635)Memory used [KB]: 1023
% 2.36/1.47 % (6635)Time elapsed: 0.003 s
% 2.36/1.47 % (6635)Instructions burned: 5 (million)
% 2.36/1.47 % (6635)------------------------------
% 2.36/1.47 % (6635)------------------------------
% 2.36/1.47 % (6628)Instruction limit reached!
% 2.36/1.47 % (6628)------------------------------
% 2.36/1.47 % (6628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.47 % (6628)Termination reason: Unknown
% 2.36/1.47 % (6628)Termination phase: shuffling
% 2.36/1.47
% 2.36/1.47 % (6628)Memory used [KB]: 1023
% 2.36/1.47 % (6628)Time elapsed: 0.011 s
% 2.36/1.47 % (6628)Instructions burned: 16 (million)
% 2.36/1.47 % (6628)------------------------------
% 2.36/1.47 % (6628)------------------------------
% 2.36/1.47 % (6637)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/4Mi)
% 2.36/1.47 % (6637)Instruction limit reached!
% 2.36/1.47 % (6637)------------------------------
% 2.36/1.47 % (6637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.47 % (6637)Termination reason: Unknown
% 2.36/1.47 % (6637)Termination phase: shuffling
% 2.36/1.47
% 2.36/1.47 % (6637)Memory used [KB]: 1023
% 2.36/1.47 % (6637)Time elapsed: 0.002 s
% 2.36/1.47 % (6637)Instructions burned: 4 (million)
% 2.36/1.47 % (6637)------------------------------
% 2.36/1.47 % (6637)------------------------------
% 2.36/1.48 % (6641)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/18Mi)
% 2.36/1.48 % (6644)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/6Mi)
% 2.36/1.48 % (6644)Instruction limit reached!
% 2.36/1.48 % (6644)------------------------------
% 2.36/1.48 % (6644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.48 % (6644)Termination reason: Unknown
% 2.36/1.48 % (6644)Termination phase: shuffling
% 2.36/1.48
% 2.36/1.48 % (6644)Memory used [KB]: 1023
% 2.36/1.48 % (6644)Time elapsed: 0.003 s
% 2.36/1.48 % (6644)Instructions burned: 6 (million)
% 2.36/1.48 % (6644)------------------------------
% 2.36/1.48 % (6644)------------------------------
% 2.36/1.49 % (6643)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/710Mi)
% 2.36/1.49 % (6646)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_6459 for (2999ds/21Mi)
% 2.36/1.49 % (6641)Instruction limit reached!
% 2.36/1.49 % (6641)------------------------------
% 2.36/1.49 % (6641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.49 % (6641)Termination reason: Unknown
% 2.36/1.49 % (6641)Termination phase: Property scanning
% 2.36/1.49
% 2.36/1.49 % (6641)Memory used [KB]: 1023
% 2.36/1.49 % (6641)Time elapsed: 0.010 s
% 2.36/1.49 % (6641)Instructions burned: 18 (million)
% 2.36/1.49 % (6641)------------------------------
% 2.36/1.49 % (6641)------------------------------
% 2.36/1.49 % (6645)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_6459 for (2999ds/902Mi)
% 2.36/1.49 % (6606)Instruction limit reached!
% 2.36/1.49 % (6606)------------------------------
% 2.36/1.49 % (6606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.49 % (6606)Termination reason: Unknown
% 2.36/1.49 % (6606)Termination phase: Saturation
% 2.36/1.49
% 2.36/1.49 % (6606)Memory used [KB]: 6908
% 2.36/1.49 % (6606)Time elapsed: 0.066 s
% 2.36/1.49 % (6606)Instructions burned: 183 (million)
% 2.36/1.49 % (6606)------------------------------
% 2.36/1.49 % (6606)------------------------------
% 2.36/1.50 % (6646)Instruction limit reached!
% 2.36/1.50 % (6646)------------------------------
% 2.36/1.50 % (6646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.50 % (6646)Termination reason: Unknown
% 2.36/1.50 % (6646)Termination phase: SInE selection
% 2.36/1.50
% 2.36/1.50 % (6646)Memory used [KB]: 1023
% 2.36/1.50 % (6646)Time elapsed: 0.011 s
% 2.36/1.50 % (6646)Instructions burned: 23 (million)
% 2.36/1.50 % (6646)------------------------------
% 2.36/1.50 % (6646)------------------------------
% 2.36/1.50 % (6650)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/5Mi)
% 2.36/1.50 % (6650)Instruction limit reached!
% 2.36/1.50 % (6650)------------------------------
% 2.36/1.50 % (6650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.50 % (6650)Termination reason: Unknown
% 2.36/1.50 % (6650)Termination phase: shuffling
% 2.36/1.50
% 2.36/1.50 % (6650)Memory used [KB]: 1023
% 2.36/1.50 % (6650)Time elapsed: 0.004 s
% 2.36/1.50 % (6650)Instructions burned: 6 (million)
% 2.36/1.50 % (6650)------------------------------
% 2.36/1.50 % (6650)------------------------------
% 2.36/1.50 % (6651)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_6459 for (2999ds/6Mi)
% 2.36/1.50 % (6652)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/377Mi)
% 2.36/1.51 % (6651)Instruction limit reached!
% 2.36/1.51 % (6651)------------------------------
% 2.36/1.51 % (6651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.51 % (6651)Termination reason: Unknown
% 2.36/1.51 % (6651)Termination phase: shuffling
% 2.36/1.51
% 2.36/1.51 % (6651)Memory used [KB]: 1023
% 2.36/1.51 % (6651)Time elapsed: 0.004 s
% 2.36/1.51 % (6651)Instructions burned: 6 (million)
% 2.36/1.51 % (6651)------------------------------
% 2.36/1.51 % (6651)------------------------------
% 2.36/1.51 % (6656)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_6459 for (2999ds/779Mi)
% 2.36/1.51 % (6645)Refutation not found, incomplete strategy
% 2.36/1.51 % (6645)------------------------------
% 2.36/1.51 % (6645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.51 % (6645)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.51
% 2.36/1.51
% 2.36/1.51 % (6645)Memory used [KB]: 5756
% 2.36/1.51 % (6645)Time elapsed: 0.026 s
% 2.36/1.51 % (6645)Instructions burned: 56 (million)
% 2.36/1.51 % (6645)------------------------------
% 2.36/1.51 % (6645)------------------------------
% 2.36/1.52 % (6659)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_6459 for (2999ds/19Mi)
% 2.36/1.52 % (6660)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/879Mi)
% 2.36/1.53 % (6659)Instruction limit reached!
% 2.36/1.53 % (6659)------------------------------
% 2.36/1.53 % (6659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.53 % (6659)Termination reason: Unknown
% 2.36/1.53 % (6659)Termination phase: Property scanning
% 2.36/1.53
% 2.36/1.53 % (6659)Memory used [KB]: 1023
% 2.36/1.53 % (6659)Time elapsed: 0.011 s
% 2.36/1.53 % (6659)Instructions burned: 20 (million)
% 2.36/1.53 % (6659)------------------------------
% 2.36/1.53 % (6659)------------------------------
% 2.36/1.54 % (6667)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_6459 for (2998ds/3Mi)
% 2.36/1.54 % (6663)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_6459 for (2999ds/17Mi)
% 2.36/1.54 % (6667)Instruction limit reached!
% 2.36/1.54 % (6667)------------------------------
% 2.36/1.54 % (6667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.54 % (6667)Termination reason: Unknown
% 2.36/1.54 % (6667)Termination phase: shuffling
% 2.36/1.54
% 2.36/1.54 % (6667)Memory used [KB]: 1023
% 2.36/1.54 % (6667)Time elapsed: 0.003 s
% 2.36/1.54 % (6667)Instructions burned: 4 (million)
% 2.36/1.54 % (6667)------------------------------
% 2.36/1.54 % (6667)------------------------------
% 2.36/1.55 % (6663)Instruction limit reached!
% 2.36/1.55 % (6663)------------------------------
% 2.36/1.55 % (6663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.55 % (6663)Termination reason: Unknown
% 2.36/1.55 % (6663)Termination phase: Property scanning
% 2.36/1.55
% 2.36/1.55 % (6663)Memory used [KB]: 1023
% 2.36/1.55 % (6663)Time elapsed: 0.010 s
% 2.36/1.55 % (6663)Instructions burned: 18 (million)
% 2.36/1.55 % (6663)------------------------------
% 2.36/1.55 % (6663)------------------------------
% 2.36/1.56 % (6672)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_6459 for (2998ds/30Mi)
% 2.36/1.57 % (6675)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_6459 for (2998ds/127Mi)
% 2.36/1.57 % (6672)Instruction limit reached!
% 2.36/1.57 % (6672)------------------------------
% 2.36/1.57 % (6672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.57 % (6672)Termination reason: Unknown
% 2.36/1.57 % (6672)Termination phase: Property scanning
% 2.36/1.57
% 2.36/1.57 % (6672)Memory used [KB]: 1151
% 2.36/1.57 % (6672)Time elapsed: 0.017 s
% 2.36/1.57 % (6672)Instructions burned: 31 (million)
% 2.36/1.57 % (6672)------------------------------
% 2.36/1.57 % (6672)------------------------------
% 2.36/1.59 % (6677)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_6459 for (2998ds/100Mi)
% 2.36/1.62 % (6675)Instruction limit reached!
% 2.36/1.62 % (6675)------------------------------
% 2.36/1.62 % (6675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.62 % (6675)Termination reason: Unknown
% 2.36/1.62 % (6675)Termination phase: Saturation
% 2.36/1.62
% 2.36/1.62 % (6675)Memory used [KB]: 5884
% 2.36/1.62 % (6675)Time elapsed: 0.054 s
% 2.36/1.62 % (6675)Instructions burned: 128 (million)
% 2.36/1.62 % (6675)------------------------------
% 2.36/1.62 % (6675)------------------------------
% 2.36/1.63 % (6681)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_6459 for (2998ds/3Mi)
% 2.36/1.63 % (6681)Instruction limit reached!
% 2.36/1.63 % (6681)------------------------------
% 2.36/1.63 % (6681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.63 % (6681)Termination reason: Unknown
% 2.36/1.63 % (6681)Termination phase: shuffling
% 2.36/1.63
% 2.36/1.63 % (6681)Memory used [KB]: 1023
% 2.36/1.63 % (6681)Time elapsed: 0.002 s
% 2.36/1.63 % (6681)Instructions burned: 4 (million)
% 2.36/1.63 % (6681)------------------------------
% 2.36/1.63 % (6681)------------------------------
% 2.36/1.64 % (6677)Instruction limit reached!
% 2.36/1.64 % (6677)------------------------------
% 2.36/1.64 % (6677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.64 % (6677)Termination reason: Unknown
% 2.36/1.64 % (6677)Termination phase: Saturation
% 2.36/1.64
% 2.36/1.64 % (6677)Memory used [KB]: 6012
% 2.36/1.64 % (6677)Time elapsed: 0.051 s
% 2.36/1.64 % (6677)Instructions burned: 100 (million)
% 2.36/1.64 % (6677)------------------------------
% 2.36/1.64 % (6677)------------------------------
% 2.36/1.64 % (6682)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_6459 for (2997ds/20Mi)
% 2.36/1.65 % (6682)Instruction limit reached!
% 2.36/1.65 % (6682)------------------------------
% 2.36/1.65 % (6682)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.65 % (6682)Termination reason: Unknown
% 2.36/1.65 % (6682)Termination phase: Property scanning
% 2.36/1.65
% 2.36/1.65 % (6682)Memory used [KB]: 1023
% 2.36/1.65 % (6682)Time elapsed: 0.008 s
% 2.36/1.65 % (6682)Instructions burned: 20 (million)
% 2.36/1.65 % (6682)------------------------------
% 2.36/1.65 % (6682)------------------------------
% 2.36/1.66 % (6683)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_6459 for (2997ds/86Mi)
% 2.36/1.66 % (6684)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_6459 for (2997ds/107Mi)
% 2.36/1.68 % (6652)Instruction limit reached!
% 2.36/1.68 % (6652)------------------------------
% 2.36/1.68 % (6652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.68 % (6652)Termination reason: Unknown
% 2.36/1.68 % (6652)Termination phase: Saturation
% 2.36/1.68
% 2.36/1.68 % (6652)Memory used [KB]: 6396
% 2.36/1.68 % (6652)Time elapsed: 0.181 s
% 2.36/1.68 % (6652)Instructions burned: 378 (million)
% 2.36/1.68 % (6652)------------------------------
% 2.36/1.68 % (6652)------------------------------
% 2.36/1.69 % (6684)Instruction limit reached!
% 2.36/1.69 % (6684)------------------------------
% 2.36/1.69 % (6684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.69 % (6684)Termination reason: Unknown
% 2.36/1.69 % (6684)Termination phase: Saturation
% 2.36/1.69
% 2.36/1.69 % (6684)Memory used [KB]: 5884
% 2.36/1.69 % (6684)Time elapsed: 0.037 s
% 2.36/1.69 % (6684)Instructions burned: 108 (million)
% 2.36/1.69 % (6684)------------------------------
% 2.36/1.69 % (6684)------------------------------
% 2.36/1.70 % (6683)Instruction limit reached!
% 2.36/1.70 % (6683)------------------------------
% 2.36/1.70 % (6683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (6683)Termination reason: Unknown
% 2.36/1.70 % (6683)Termination phase: Saturation
% 2.36/1.70
% 2.36/1.70 % (6683)Memory used [KB]: 6012
% 2.36/1.70 % (6683)Time elapsed: 0.042 s
% 2.36/1.70 % (6683)Instructions burned: 88 (million)
% 2.36/1.70 % (6683)------------------------------
% 2.36/1.70 % (6683)------------------------------
% 2.36/1.70 % (6689)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_6459 for (2997ds/39Mi)
% 2.36/1.70 % (6690)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_6459 for (2997ds/448Mi)
% 2.36/1.72 % (6691)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_6459 for (2997ds/46Mi)
% 2.36/1.72 % (6689)Instruction limit reached!
% 2.36/1.72 % (6689)------------------------------
% 2.36/1.72 % (6689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (6689)Termination reason: Unknown
% 2.36/1.72 % (6689)Termination phase: Saturation
% 2.36/1.72
% 2.36/1.72 % (6689)Memory used [KB]: 5756
% 2.36/1.72 % (6689)Time elapsed: 0.020 s
% 2.36/1.72 % (6689)Instructions burned: 40 (million)
% 2.36/1.72 % (6689)------------------------------
% 2.36/1.72 % (6689)------------------------------
% 2.36/1.74 % (6691)Instruction limit reached!
% 2.36/1.74 % (6691)------------------------------
% 2.36/1.74 % (6691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.74 % (6691)Termination reason: Unknown
% 2.36/1.74 % (6691)Termination phase: Saturation
% 2.36/1.74
% 2.36/1.74 % (6691)Memory used [KB]: 5756
% 2.36/1.74 % (6691)Time elapsed: 0.022 s
% 2.36/1.74 % (6691)Instructions burned: 46 (million)
% 2.36/1.74 % (6691)------------------------------
% 2.36/1.74 % (6691)------------------------------
% 2.36/1.74 % (6694)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_6459 for (2997ds/98Mi)
% 2.36/1.75 % (6696)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_6459 for (2996ds/507Mi)
% 2.36/1.78 % (6694)Instruction limit reached!
% 2.36/1.78 % (6694)------------------------------
% 2.36/1.78 % (6694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.78 % (6694)Termination reason: Unknown
% 2.36/1.78 % (6694)Termination phase: Saturation
% 2.36/1.78
% 2.36/1.78 % (6694)Memory used [KB]: 1535
% 2.36/1.78 % (6694)Time elapsed: 0.046 s
% 2.36/1.78 % (6694)Instructions burned: 98 (million)
% 2.36/1.78 % (6694)------------------------------
% 2.36/1.78 % (6694)------------------------------
% 2.36/1.80 % (6699)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_6459 for (2996ds/149Mi)
% 2.36/1.80 % (6696)Refutation not found, incomplete strategy
% 2.36/1.80 % (6696)------------------------------
% 2.36/1.80 % (6696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.80 % (6696)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.80
% 2.36/1.80
% 2.36/1.80 % (6696)Memory used [KB]: 6012
% 2.36/1.80 % (6696)Time elapsed: 0.075 s
% 2.36/1.80 % (6696)Instructions burned: 105 (million)
% 2.36/1.80 % (6696)------------------------------
% 2.36/1.80 % (6696)------------------------------
% 2.36/1.80 % (6643)Instruction limit reached!
% 2.36/1.80 % (6643)------------------------------
% 2.36/1.80 % (6643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.80 % (6643)Termination reason: Unknown
% 2.36/1.80 % (6643)Termination phase: Saturation
% 2.36/1.80
% 2.36/1.80 % (6643)Memory used [KB]: 6908
% 2.36/1.80 % (6643)Time elapsed: 0.321 s
% 2.36/1.80 % (6643)Instructions burned: 713 (million)
% 2.36/1.80 % (6643)------------------------------
% 2.36/1.80 % (6643)------------------------------
% 2.36/1.81 % (6703)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_6459 for (2996ds/6Mi)
% 2.36/1.82 % (6703)Instruction limit reached!
% 2.36/1.82 % (6703)------------------------------
% 2.36/1.82 % (6703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.82 % (6703)Termination reason: Unknown
% 2.36/1.82 % (6703)Termination phase: shuffling
% 2.36/1.82
% 2.36/1.82 % (6703)Memory used [KB]: 1023
% 2.36/1.82 % (6703)Time elapsed: 0.003 s
% 2.36/1.82 % (6703)Instructions burned: 8 (million)
% 2.36/1.82 % (6703)------------------------------
% 2.36/1.82 % (6703)------------------------------
% 2.36/1.82 % (6702)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_6459 for (2996ds/39Mi)
% 2.36/1.83 % (6704)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_6459 for (2996ds/1087Mi)
% 2.36/1.84 % (6702)Instruction limit reached!
% 2.36/1.84 % (6702)------------------------------
% 2.36/1.84 % (6702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.84 % (6702)Termination reason: Unknown
% 2.36/1.84 % (6702)Termination phase: Saturation
% 2.36/1.84
% 2.36/1.84 % (6702)Memory used [KB]: 5628
% 2.36/1.84 % (6702)Time elapsed: 0.018 s
% 2.36/1.84 % (6702)Instructions burned: 39 (million)
% 2.36/1.84 % (6702)------------------------------
% 2.36/1.84 % (6702)------------------------------
% 2.36/1.85 % (6706)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_6459 for (2995ds/47Mi)
% 2.36/1.85 % (6656)Instruction limit reached!
% 2.36/1.85 % (6656)------------------------------
% 2.36/1.85 % (6656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.85 % (6656)Termination reason: Unknown
% 2.36/1.85 % (6656)Termination phase: Saturation
% 2.36/1.85
% 2.36/1.85 % (6656)Memory used [KB]: 7036
% 2.36/1.85 % (6656)Time elapsed: 0.347 s
% 2.36/1.85 % (6656)Instructions burned: 779 (million)
% 2.36/1.85 % (6656)------------------------------
% 2.36/1.85 % (6656)------------------------------
% 2.36/1.86 % (6690)Instruction limit reached!
% 2.36/1.86 % (6690)------------------------------
% 2.36/1.86 % (6690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.86 % (6690)Termination reason: Unknown
% 2.36/1.86 % (6690)Termination phase: Saturation
% 2.36/1.86
% 2.36/1.86 % (6690)Memory used [KB]: 6524
% 2.36/1.86 % (6690)Time elapsed: 0.154 s
% 2.36/1.86 % (6690)Instructions burned: 450 (million)
% 2.36/1.86 % (6690)------------------------------
% 2.36/1.86 % (6690)------------------------------
% 2.36/1.86 % (6709)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_6459 for (2995ds/44Mi)
% 2.36/1.87 % (6706)Instruction limit reached!
% 2.36/1.87 % (6706)------------------------------
% 2.36/1.87 % (6706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.87 % (6706)Termination reason: Unknown
% 2.36/1.87 % (6706)Termination phase: Saturation
% 2.36/1.87
% 2.36/1.87 % (6706)Memory used [KB]: 5756
% 2.36/1.87 % (6706)Time elapsed: 0.023 s
% 2.36/1.87 % (6706)Instructions burned: 48 (million)
% 2.36/1.87 % (6706)------------------------------
% 2.36/1.87 % (6706)------------------------------
% 2.36/1.87 % (6699)Instruction limit reached!
% 2.36/1.87 % (6699)------------------------------
% 2.36/1.87 % (6699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.87 % (6699)Termination reason: Unknown
% 2.36/1.87 % (6699)Termination phase: Saturation
% 2.36/1.87
% 2.36/1.87 % (6699)Memory used [KB]: 6268
% 2.36/1.87 % (6699)Time elapsed: 0.099 s
% 2.36/1.87 % (6699)Instructions burned: 150 (million)
% 2.36/1.87 % (6699)------------------------------
% 2.36/1.87 % (6699)------------------------------
% 2.36/1.87 % (6710)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_6459 for (2995ds/432Mi)
% 2.36/1.87 % (6709)Instruction limit reached!
% 2.36/1.87 % (6709)------------------------------
% 2.36/1.87 % (6709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.87 % (6709)Termination reason: Unknown
% 2.36/1.87 % (6709)Termination phase: Saturation
% 2.36/1.87
% 2.36/1.87 % (6709)Memory used [KB]: 1279
% 2.36/1.87 % (6709)Time elapsed: 0.013 s
% 2.36/1.87 % (6709)Instructions burned: 47 (million)
% 2.36/1.87 % (6709)------------------------------
% 2.36/1.87 % (6709)------------------------------
% 2.36/1.88 % (6712)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_6459 for (2995ds/62Mi)
% 2.36/1.89 % (6713)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_6459 for (2995ds/31Mi)
% 2.36/1.89 % (6714)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_6459 for (2995ds/96Mi)
% 2.36/1.90 % (6713)Instruction limit reached!
% 2.36/1.90 % (6713)------------------------------
% 2.36/1.90 % (6713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.90 % (6713)Termination reason: Unknown
% 2.36/1.90 % (6713)Termination phase: Property scanning
% 2.36/1.90
% 2.36/1.90 % (6713)Memory used [KB]: 1151
% 2.36/1.90 % (6713)Time elapsed: 0.015 s
% 2.36/1.90 % (6713)Instructions burned: 31 (million)
% 2.36/1.90 % (6713)------------------------------
% 2.36/1.90 % (6713)------------------------------
% 2.36/1.90 % (6712)Instruction limit reached!
% 2.36/1.90 % (6712)------------------------------
% 2.36/1.90 % (6712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.90 % (6712)Termination reason: Unknown
% 2.36/1.90 % (6712)Termination phase: Saturation
% 2.36/1.90
% 2.36/1.90 % (6712)Memory used [KB]: 5884
% 2.36/1.90 % (6712)Time elapsed: 0.021 s
% 2.36/1.90 % (6712)Instructions burned: 63 (million)
% 2.36/1.90 % (6712)------------------------------
% 2.36/1.90 % (6712)------------------------------
% 2.36/1.92 % (6660)Instruction limit reached!
% 2.36/1.92 % (6660)------------------------------
% 2.36/1.92 % (6660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.92 % (6660)Termination reason: Unknown
% 2.36/1.92 % (6660)Termination phase: Saturation
% 2.36/1.92
% 2.36/1.92 % (6660)Memory used [KB]: 7164
% 2.36/1.92 % (6660)Time elapsed: 0.398 s
% 2.36/1.92 % (6660)Instructions burned: 880 (million)
% 2.36/1.92 % (6660)------------------------------
% 2.36/1.92 % (6660)------------------------------
% 2.36/1.92 % (6718)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_6459 for (2995ds/453Mi)
% 2.36/1.92 % (6719)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_6459 for (2995ds/71Mi)
% 2.36/1.93 % (6720)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_6459 for (2994ds/83Mi)
% 2.36/1.94 % (6714)Instruction limit reached!
% 2.36/1.94 % (6714)------------------------------
% 2.36/1.94 % (6714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.94 % (6714)Termination reason: Unknown
% 2.36/1.94 % (6714)Termination phase: Saturation
% 2.36/1.94
% 2.36/1.94 % (6714)Memory used [KB]: 5884
% 2.36/1.94 % (6714)Time elapsed: 0.047 s
% 2.36/1.94 % (6714)Instructions burned: 97 (million)
% 2.36/1.94 % (6714)------------------------------
% 2.36/1.94 % (6714)------------------------------
% 2.36/1.94 % (6622)Instruction limit reached!
% 2.36/1.94 % (6622)------------------------------
% 2.36/1.94 % (6622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.94 % (6622)Termination reason: Unknown
% 2.36/1.94 % (6622)Termination phase: Saturation
% 2.36/1.94
% 2.36/1.94 % (6622)Memory used [KB]: 8955
% 2.36/1.94 % (6622)Time elapsed: 0.487 s
% 2.36/1.94 % (6622)Instructions burned: 1041 (million)
% 2.36/1.94 % (6622)------------------------------
% 2.36/1.94 % (6622)------------------------------
% 2.36/1.95 % (6723)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_6459 for (2994ds/11Mi)
% 2.36/1.95 % (6719)Instruction limit reached!
% 2.36/1.95 % (6719)------------------------------
% 2.36/1.95 % (6719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.95 % (6719)Termination reason: Unknown
% 2.36/1.95 % (6719)Termination phase: Saturation
% 2.36/1.95
% 2.36/1.95 % (6719)Memory used [KB]: 5884
% 2.36/1.95 % (6719)Time elapsed: 0.034 s
% 2.36/1.95 % (6719)Instructions burned: 72 (million)
% 2.36/1.95 % (6719)------------------------------
% 2.36/1.95 % (6719)------------------------------
% 2.36/1.95 % (6724)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_6459 for (2994ds/41Mi)
% 2.36/1.96 % (6723)Instruction limit reached!
% 2.36/1.96 % (6723)------------------------------
% 2.36/1.96 % (6723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.96 % (6723)Termination reason: Unknown
% 2.36/1.96 % (6723)Termination phase: Property scanning
% 2.36/1.96
% 2.36/1.96 % (6723)Memory used [KB]: 1023
% 2.36/1.96 % (6723)Time elapsed: 0.006 s
% 2.36/1.96 % (6723)Instructions burned: 11 (million)
% 2.36/1.96 % (6723)------------------------------
% 2.36/1.96 % (6723)------------------------------
% 2.36/1.97 % (6727)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6459 for (2994ds/6Mi)
% 2.36/1.97 % (6727)Instruction limit reached!
% 2.36/1.97 % (6727)------------------------------
% 2.36/1.97 % (6727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.97 % (6727)Termination reason: Unknown
% 2.36/1.97 % (6727)Termination phase: shuffling
% 2.36/1.97
% 2.36/1.97 % (6727)Memory used [KB]: 1023
% 2.36/1.97 % (6727)Time elapsed: 0.003 s
% 2.36/1.97 % (6727)Instructions burned: 8 (million)
% 2.36/1.97 % (6727)------------------------------
% 2.36/1.97 % (6727)------------------------------
% 2.36/1.97 % (6724)Instruction limit reached!
% 2.36/1.97 % (6724)------------------------------
% 2.36/1.97 % (6724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.97 % (6724)Termination reason: Unknown
% 2.36/1.97 % (6724)Termination phase: Saturation
% 2.36/1.97
% 2.36/1.97 % (6724)Memory used [KB]: 5756
% 2.36/1.97 % (6724)Time elapsed: 0.019 s
% 2.36/1.97 % (6724)Instructions burned: 41 (million)
% 2.36/1.97 % (6724)------------------------------
% 2.36/1.97 % (6724)------------------------------
% 2.36/1.97 % (6720)Instruction limit reached!
% 2.36/1.97 % (6720)------------------------------
% 2.36/1.97 % (6720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.97 % (6720)Termination reason: Unknown
% 2.36/1.97 % (6720)Termination phase: Saturation
% 2.36/1.97
% 2.36/1.97 % (6720)Memory used [KB]: 5756
% 2.36/1.97 % (6720)Time elapsed: 0.039 s
% 2.36/1.97 % (6720)Instructions burned: 83 (million)
% 2.36/1.97 % (6720)------------------------------
% 2.36/1.97 % (6720)------------------------------
% 2.36/1.98 % (6728)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_6459 for (2994ds/150Mi)
% 2.36/1.98 % (6730)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_6459 for (2994ds/343Mi)
% 2.36/1.99 % (6731)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_6459 for (2994ds/109Mi)
% 2.36/1.99 % (6732)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_6459 for (2994ds/253Mi)
% 6.49/2.03 % (6731)Instruction limit reached!
% 6.49/2.03 % (6731)------------------------------
% 6.49/2.03 % (6731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.03 % (6731)Termination reason: Unknown
% 6.49/2.03 % (6731)Termination phase: Saturation
% 6.49/2.03
% 6.49/2.03 % (6731)Memory used [KB]: 5884
% 6.49/2.03 % (6731)Time elapsed: 0.044 s
% 6.49/2.03 % (6731)Instructions burned: 110 (million)
% 6.49/2.03 % (6731)------------------------------
% 6.49/2.03 % (6731)------------------------------
% 6.49/2.04 % (6728)Instruction limit reached!
% 6.49/2.04 % (6728)------------------------------
% 6.49/2.04 % (6728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.04 % (6728)Termination reason: Unknown
% 6.49/2.04 % (6728)Termination phase: Saturation
% 6.49/2.04
% 6.49/2.04 % (6728)Memory used [KB]: 6012
% 6.49/2.04 % (6728)Time elapsed: 0.058 s
% 6.49/2.04 % (6728)Instructions burned: 151 (million)
% 6.49/2.04 % (6728)------------------------------
% 6.49/2.04 % (6728)------------------------------
% 6.49/2.05 % (6739)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_6459 for (2993ds/140Mi)
% 6.49/2.05 % (6740)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_6459 for (2993ds/614Mi)
% 6.49/2.07 % (6710)Instruction limit reached!
% 6.49/2.07 % (6710)------------------------------
% 6.49/2.07 % (6710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.07 % (6710)Termination reason: Unknown
% 6.49/2.07 % (6710)Termination phase: Saturation
% 6.49/2.07
% 6.49/2.07 % (6710)Memory used [KB]: 2558
% 6.49/2.07 % (6710)Time elapsed: 0.200 s
% 6.49/2.07 % (6710)Instructions burned: 433 (million)
% 6.49/2.07 % (6710)------------------------------
% 6.49/2.07 % (6710)------------------------------
% 6.49/2.09 % (6742)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_6459 for (2993ds/202Mi)
% 6.49/2.10 % (6732)Instruction limit reached!
% 6.49/2.10 % (6732)------------------------------
% 6.49/2.10 % (6732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.10 % (6732)Termination reason: Unknown
% 6.49/2.10 % (6732)Termination phase: Saturation
% 6.49/2.10
% 6.49/2.10 % (6732)Memory used [KB]: 6140
% 6.49/2.10 % (6732)Time elapsed: 0.108 s
% 6.49/2.10 % (6732)Instructions burned: 254 (million)
% 6.49/2.10 % (6732)------------------------------
% 6.49/2.10 % (6732)------------------------------
% 6.49/2.10 % (6745)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_6459 for (2993ds/339Mi)
% 6.49/2.11 % (6718)Instruction limit reached!
% 6.49/2.11 % (6718)------------------------------
% 6.49/2.11 % (6718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.11 % (6718)Termination reason: Unknown
% 6.49/2.11 % (6718)Termination phase: Saturation
% 6.49/2.11
% 6.49/2.11 % (6718)Memory used [KB]: 6780
% 6.49/2.11 % (6718)Time elapsed: 0.193 s
% 6.49/2.11 % (6718)Instructions burned: 453 (million)
% 6.49/2.11 % (6718)------------------------------
% 6.49/2.11 % (6718)------------------------------
% 6.49/2.11 % (6739)Instruction limit reached!
% 6.49/2.11 % (6739)------------------------------
% 6.49/2.11 % (6739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.11 % (6739)Termination reason: Unknown
% 6.49/2.11 % (6739)Termination phase: Saturation
% 6.49/2.11
% 6.49/2.11 % (6739)Memory used [KB]: 6140
% 6.49/2.11 % (6739)Time elapsed: 0.067 s
% 6.49/2.11 % (6739)Instructions burned: 140 (million)
% 6.49/2.11 % (6739)------------------------------
% 6.49/2.11 % (6739)------------------------------
% 7.05/2.13 % (6746)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_6459 for (2993ds/283Mi)
% 7.05/2.13 % (6747)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_6459 for (2993ds/134Mi)
% 7.05/2.13 % (6742)Refutation not found, incomplete strategy
% 7.05/2.13 % (6742)------------------------------
% 7.05/2.13 % (6742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.13 % (6742)Termination reason: Refutation not found, incomplete strategy
% 7.05/2.13
% 7.05/2.13
% 7.05/2.13 % (6742)Memory used [KB]: 6012
% 7.05/2.13 % (6742)Time elapsed: 0.042 s
% 7.05/2.13 % (6742)Instructions burned: 89 (million)
% 7.05/2.13 % (6742)------------------------------
% 7.05/2.13 % (6742)------------------------------
% 7.05/2.14 % (6730)Instruction limit reached!
% 7.05/2.14 % (6730)------------------------------
% 7.05/2.14 % (6730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.14 % (6730)Termination reason: Unknown
% 7.05/2.14 % (6730)Termination phase: Saturation
% 7.05/2.14
% 7.05/2.14 % (6730)Memory used [KB]: 6396
% 7.05/2.14 % (6730)Time elapsed: 0.157 s
% 7.05/2.14 % (6730)Instructions burned: 345 (million)
% 7.05/2.14 % (6730)------------------------------
% 7.05/2.14 % (6730)------------------------------
% 7.05/2.15 % (6749)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_6459 for (2992ds/298Mi)
% 7.05/2.15 % (6750)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_6459 for (2992ds/192Mi)
% 7.05/2.19 % (6747)Instruction limit reached!
% 7.05/2.19 % (6747)------------------------------
% 7.05/2.19 % (6747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.19 % (6747)Termination reason: Unknown
% 7.05/2.19 % (6747)Termination phase: Saturation
% 7.05/2.19
% 7.05/2.19 % (6747)Memory used [KB]: 6268
% 7.05/2.19 % (6747)Time elapsed: 0.065 s
% 7.05/2.19 % (6747)Instructions burned: 134 (million)
% 7.05/2.19 % (6747)------------------------------
% 7.05/2.19 % (6747)------------------------------
% 7.29/2.21 % (6756)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_6459 for (2992ds/258Mi)
% 7.29/2.21 % (6746)Instruction limit reached!
% 7.29/2.21 % (6746)------------------------------
% 7.29/2.21 % (6746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.21 % (6746)Termination reason: Unknown
% 7.29/2.21 % (6746)Termination phase: Saturation
% 7.29/2.21
% 7.29/2.21 % (6746)Memory used [KB]: 6396
% 7.29/2.21 % (6746)Time elapsed: 0.087 s
% 7.29/2.21 % (6746)Instructions burned: 283 (million)
% 7.29/2.21 % (6746)------------------------------
% 7.29/2.21 % (6746)------------------------------
% 7.29/2.23 % (6758)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_6459 for (2992ds/90Mi)
% 7.29/2.23 % (6750)Instruction limit reached!
% 7.29/2.23 % (6750)------------------------------
% 7.29/2.23 % (6750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.23 % (6750)Termination reason: Unknown
% 7.29/2.23 % (6750)Termination phase: Saturation
% 7.29/2.23
% 7.29/2.23 % (6750)Memory used [KB]: 6140
% 7.29/2.23 % (6750)Time elapsed: 0.085 s
% 7.29/2.23 % (6750)Instructions burned: 193 (million)
% 7.29/2.23 % (6750)------------------------------
% 7.29/2.23 % (6750)------------------------------
% 7.29/2.24 % (6759)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_6459 for (2991ds/231Mi)
% 7.29/2.26 % (6745)Instruction limit reached!
% 7.29/2.26 % (6745)------------------------------
% 7.29/2.26 % (6745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.26 % (6745)Termination reason: Unknown
% 7.29/2.26 % (6745)Termination phase: Saturation
% 7.29/2.26
% 7.29/2.26 % (6745)Memory used [KB]: 6396
% 7.29/2.26 % (6745)Time elapsed: 0.153 s
% 7.29/2.26 % (6745)Instructions burned: 339 (million)
% 7.29/2.26 % (6745)------------------------------
% 7.29/2.26 % (6745)------------------------------
% 7.29/2.27 % (6758)Instruction limit reached!
% 7.29/2.27 % (6758)------------------------------
% 7.29/2.27 % (6758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.27 % (6758)Termination reason: Unknown
% 7.29/2.27 % (6758)Termination phase: Saturation
% 7.29/2.27
% 7.29/2.27 % (6758)Memory used [KB]: 5884
% 7.29/2.27 % (6758)Time elapsed: 0.043 s
% 7.29/2.27 % (6758)Instructions burned: 91 (million)
% 7.29/2.27 % (6758)------------------------------
% 7.29/2.27 % (6758)------------------------------
% 7.29/2.27 % (6760)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_6459 for (2991ds/458Mi)
% 7.29/2.28 % (6704)Instruction limit reached!
% 7.29/2.28 % (6704)------------------------------
% 7.29/2.28 % (6704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.28 % (6704)Termination reason: Unknown
% 7.29/2.28 % (6704)Termination phase: Saturation
% 7.29/2.28
% 7.29/2.28 % (6704)Memory used [KB]: 7291
% 7.29/2.28 % (6704)Time elapsed: 0.455 s
% 7.29/2.28 % (6704)Instructions burned: 1087 (million)
% 7.29/2.28 % (6704)------------------------------
% 7.29/2.28 % (6704)------------------------------
% 7.29/2.28 % (6761)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_6459 for (2991ds/31Mi)
% 7.29/2.29 % (6749)Instruction limit reached!
% 7.29/2.29 % (6749)------------------------------
% 7.29/2.29 % (6749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.29/2.29 % (6749)Termination reason: Unknown
% 7.29/2.29 % (6749)Termination phase: Saturation
% 7.29/2.29
% 7.29/2.29 % (6749)Memory used [KB]: 6780
% 7.29/2.29 % (6749)Time elapsed: 0.140 s
% 7.29/2.29 % (6749)Instructions burned: 298 (million)
% 7.29/2.29 % (6749)------------------------------
% 7.29/2.29 % (6749)------------------------------
% 7.29/2.29 % (6763)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_6459 for (2991ds/297Mi)
% 7.95/2.30 % (6761)Instruction limit reached!
% 7.95/2.30 % (6761)------------------------------
% 7.95/2.30 % (6761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.30 % (6761)Termination reason: Unknown
% 7.95/2.30 % (6761)Termination phase: Property scanning
% 7.95/2.30
% 7.95/2.30 % (6761)Memory used [KB]: 1151
% 7.95/2.30 % (6761)Time elapsed: 0.015 s
% 7.95/2.30 % (6761)Instructions burned: 31 (million)
% 7.95/2.30 % (6761)------------------------------
% 7.95/2.30 % (6761)------------------------------
% 7.95/2.31 % (6765)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_6459 for (2991ds/987Mi)
% 7.95/2.31 % (6769)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_6459 for (2991ds/182Mi)
% 7.95/2.31 % (6740)Instruction limit reached!
% 7.95/2.31 % (6740)------------------------------
% 7.95/2.31 % (6740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.31 % (6740)Termination reason: Unknown
% 7.95/2.31 % (6740)Termination phase: Saturation
% 7.95/2.31
% 7.95/2.31 % (6740)Memory used [KB]: 6524
% 7.95/2.31 % (6740)Time elapsed: 0.263 s
% 7.95/2.31 % (6740)Instructions burned: 616 (million)
% 7.95/2.31 % (6740)------------------------------
% 7.95/2.31 % (6740)------------------------------
% 7.95/2.32 % (6759)Instruction limit reached!
% 7.95/2.32 % (6759)------------------------------
% 7.95/2.32 % (6759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.32 % (6759)Termination reason: Unknown
% 7.95/2.32 % (6759)Termination phase: Saturation
% 7.95/2.32
% 7.95/2.32 % (6759)Memory used [KB]: 6524
% 7.95/2.32 % (6759)Time elapsed: 0.080 s
% 7.95/2.32 % (6759)Instructions burned: 232 (million)
% 7.95/2.32 % (6759)------------------------------
% 7.95/2.32 % (6759)------------------------------
% 7.95/2.32 % (6772)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_6459 for (2991ds/182Mi)
% 7.95/2.33 % (6756)Instruction limit reached!
% 7.95/2.33 % (6756)------------------------------
% 7.95/2.33 % (6756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.33 % (6756)Termination reason: Unknown
% 7.95/2.33 % (6756)Termination phase: Saturation
% 7.95/2.33
% 7.95/2.33 % (6756)Memory used [KB]: 6268
% 7.95/2.33 % (6756)Time elapsed: 0.119 s
% 7.95/2.33 % (6756)Instructions burned: 259 (million)
% 7.95/2.33 % (6756)------------------------------
% 7.95/2.33 % (6756)------------------------------
% 7.95/2.34 % (6775)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_6459 for (2991ds/154Mi)
% 7.95/2.34 % (6776)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_6459 for (2991ds/79Mi)
% 7.95/2.38 % (6776)Instruction limit reached!
% 7.95/2.38 % (6776)------------------------------
% 7.95/2.38 % (6776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.38 % (6776)Termination reason: Unknown
% 7.95/2.38 % (6776)Termination phase: Saturation
% 7.95/2.38
% 7.95/2.38 % (6776)Memory used [KB]: 5884
% 7.95/2.38 % (6776)Time elapsed: 0.039 s
% 7.95/2.38 % (6776)Instructions burned: 79 (million)
% 7.95/2.38 % (6776)------------------------------
% 7.95/2.38 % (6776)------------------------------
% 7.95/2.39 % (6769)Instruction limit reached!
% 7.95/2.39 % (6769)------------------------------
% 7.95/2.39 % (6769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.39 % (6769)Termination reason: Unknown
% 7.95/2.39 % (6769)Termination phase: Saturation
% 7.95/2.39
% 7.95/2.39 % (6769)Memory used [KB]: 6780
% 7.95/2.39 % (6769)Time elapsed: 0.075 s
% 7.95/2.39 % (6769)Instructions burned: 185 (million)
% 7.95/2.39 % (6769)------------------------------
% 7.95/2.39 % (6769)------------------------------
% 7.95/2.39 % (6775)Refutation not found, incomplete strategy
% 7.95/2.39 % (6775)------------------------------
% 7.95/2.39 % (6775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.95/2.39 % (6775)Termination reason: Refutation not found, incomplete strategy
% 7.95/2.39
% 7.95/2.39
% 7.95/2.39 % (6775)Memory used [KB]: 6140
% 7.95/2.39 % (6775)Time elapsed: 0.051 s
% 7.95/2.39 % (6775)Instructions burned: 109 (million)
% 7.95/2.39 % (6775)------------------------------
% 7.95/2.39 % (6775)------------------------------
% 7.95/2.39 % (6777)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_6459 for (2990ds/216Mi)
% 8.69/2.40 % (6778)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_6459 for (2990ds/114Mi)
% 8.69/2.41 % (6780)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_6459 for (2990ds/922Mi)
% 8.69/2.41 % (6772)Instruction limit reached!
% 8.69/2.41 % (6772)------------------------------
% 8.69/2.41 % (6772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.41 % (6772)Termination reason: Unknown
% 8.69/2.41 % (6772)Termination phase: Saturation
% 8.69/2.41
% 8.69/2.41 % (6772)Memory used [KB]: 6268
% 8.69/2.41 % (6772)Time elapsed: 0.086 s
% 8.69/2.41 % (6772)Instructions burned: 183 (million)
% 8.69/2.41 % (6772)------------------------------
% 8.69/2.41 % (6772)------------------------------
% 8.69/2.42 % (6763)Instruction limit reached!
% 8.69/2.42 % (6763)------------------------------
% 8.69/2.42 % (6763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.42 % (6763)Termination reason: Unknown
% 8.69/2.42 % (6763)Termination phase: Saturation
% 8.69/2.42
% 8.69/2.42 % (6763)Memory used [KB]: 6140
% 8.69/2.42 % (6763)Time elapsed: 0.132 s
% 8.69/2.42 % (6763)Instructions burned: 298 (million)
% 8.69/2.42 % (6763)------------------------------
% 8.69/2.42 % (6763)------------------------------
% 8.69/2.42 % (6783)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_6459 for (2990ds/182Mi)
% 8.69/2.44 % (6785)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_6459 for (2989ds/164Mi)
% 8.69/2.44 % (6778)Instruction limit reached!
% 8.69/2.44 % (6778)------------------------------
% 8.69/2.44 % (6778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.44 % (6778)Termination reason: Unknown
% 8.69/2.44 % (6778)Termination phase: Saturation
% 8.69/2.44
% 8.69/2.44 % (6778)Memory used [KB]: 5884
% 8.69/2.44 % (6778)Time elapsed: 0.069 s
% 8.69/2.44 % (6778)Instructions burned: 115 (million)
% 8.69/2.44 % (6778)------------------------------
% 8.69/2.44 % (6778)------------------------------
% 8.69/2.45 % (6785)Refutation not found, incomplete strategy
% 8.69/2.45 % (6785)------------------------------
% 8.69/2.45 % (6785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.45 % (6785)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.45
% 8.69/2.45
% 8.69/2.45 % (6785)Memory used [KB]: 1279
% 8.69/2.45 % (6785)Time elapsed: 0.011 s
% 8.69/2.45 % (6785)Instructions burned: 30 (million)
% 8.69/2.45 % (6785)------------------------------
% 8.69/2.45 % (6785)------------------------------
% 8.69/2.46 % (6760)Instruction limit reached!
% 8.69/2.46 % (6760)------------------------------
% 8.69/2.46 % (6760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.46 % (6760)Termination reason: Unknown
% 8.69/2.46 % (6760)Termination phase: Saturation
% 8.69/2.46
% 8.69/2.46 % (6760)Memory used [KB]: 6780
% 8.69/2.46 % (6760)Time elapsed: 0.184 s
% 8.69/2.46 % (6760)Instructions burned: 458 (million)
% 8.69/2.46 % (6760)------------------------------
% 8.69/2.46 % (6760)------------------------------
% 8.69/2.46 % (6788)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_6459 for (2989ds/50Mi)
% 8.69/2.46 % (6789)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_6459 for (2989ds/368Mi)
% 8.69/2.47 % (6788)Instruction limit reached!
% 8.69/2.47 % (6788)------------------------------
% 8.69/2.47 % (6788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.47 % (6788)Termination reason: Unknown
% 8.69/2.47 % (6788)Termination phase: Saturation
% 8.69/2.47
% 8.69/2.47 % (6788)Memory used [KB]: 10234
% 8.69/2.47 % (6788)Time elapsed: 0.016 s
% 8.69/2.47 % (6788)Instructions burned: 51 (million)
% 8.69/2.47 % (6788)------------------------------
% 8.69/2.47 % (6788)------------------------------
% 8.69/2.47 % (6790)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_6459 for (2989ds/1021Mi)
% 8.69/2.48 % (6792)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_6459 for (2989ds/267Mi)
% 8.69/2.49 % (6777)Instruction limit reached!
% 8.69/2.49 % (6777)------------------------------
% 8.69/2.49 % (6777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.49 % (6777)Termination reason: Unknown
% 8.69/2.49 % (6777)Termination phase: Saturation
% 8.69/2.49
% 8.69/2.49 % (6777)Memory used [KB]: 6268
% 8.69/2.49 % (6777)Time elapsed: 0.093 s
% 8.69/2.49 % (6777)Instructions burned: 217 (million)
% 8.69/2.49 % (6777)------------------------------
% 8.69/2.49 % (6777)------------------------------
% 9.35/2.50 % (6793)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_6459 for (2989ds/204Mi)
% 9.35/2.51 % (6783)Instruction limit reached!
% 9.35/2.51 % (6783)------------------------------
% 9.35/2.51 % (6783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.51 % (6783)Termination reason: Unknown
% 9.35/2.51 % (6783)Termination phase: Saturation
% 9.35/2.51
% 9.35/2.51 % (6783)Memory used [KB]: 6140
% 9.35/2.51 % (6783)Time elapsed: 0.083 s
% 9.35/2.51 % (6783)Instructions burned: 182 (million)
% 9.35/2.51 % (6783)------------------------------
% 9.35/2.51 % (6783)------------------------------
% 9.35/2.52 % (6795)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_6459 for (2989ds/26Mi)
% 9.35/2.53 % (6795)Instruction limit reached!
% 9.35/2.53 % (6795)------------------------------
% 9.35/2.53 % (6795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.53 % (6795)Termination reason: Unknown
% 9.35/2.53 % (6795)Termination phase: Saturation
% 9.35/2.53
% 9.35/2.53 % (6795)Memory used [KB]: 5628
% 9.35/2.53 % (6795)Time elapsed: 0.013 s
% 9.35/2.53 % (6795)Instructions burned: 27 (million)
% 9.35/2.53 % (6795)------------------------------
% 9.35/2.53 % (6795)------------------------------
% 9.35/2.55 % (6799)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_6459 for (2988ds/53Mi)
% 9.35/2.57 % (6799)Instruction limit reached!
% 9.35/2.57 % (6799)------------------------------
% 9.35/2.57 % (6799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.57 % (6799)Termination reason: Unknown
% 9.35/2.57 % (6799)Termination phase: Saturation
% 9.35/2.57
% 9.35/2.57 % (6799)Memory used [KB]: 5756
% 9.35/2.57 % (6799)Time elapsed: 0.024 s
% 9.35/2.57 % (6799)Instructions burned: 53 (million)
% 9.35/2.57 % (6799)------------------------------
% 9.35/2.57 % (6799)------------------------------
% 9.35/2.59 % (6802)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_6459 for (2988ds/4436Mi)
% 9.35/2.59 % (6792)Instruction limit reached!
% 9.35/2.59 % (6792)------------------------------
% 9.35/2.59 % (6792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/2.59 % (6792)Termination reason: Unknown
% 9.35/2.59 % (6792)Termination phase: Saturation
% 9.35/2.59
% 9.35/2.59 % (6792)Memory used [KB]: 6396
% 9.35/2.59 % (6792)Time elapsed: 0.105 s
% 9.35/2.59 % (6792)Instructions burned: 267 (million)
% 9.35/2.59 % (6792)------------------------------
% 9.35/2.59 % (6792)------------------------------
% 9.63/2.60 % (6793)Instruction limit reached!
% 9.63/2.60 % (6793)------------------------------
% 9.63/2.60 % (6793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.60 % (6793)Termination reason: Unknown
% 9.63/2.60 % (6793)Termination phase: Saturation
% 9.63/2.60
% 9.63/2.60 % (6793)Memory used [KB]: 6140
% 9.63/2.60 % (6793)Time elapsed: 0.096 s
% 9.63/2.60 % (6793)Instructions burned: 204 (million)
% 9.63/2.60 % (6793)------------------------------
% 9.63/2.60 % (6793)------------------------------
% 9.63/2.60 % (6803)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_6459 for (2988ds/1539Mi)
% 9.63/2.62 % (6805)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_6459 for (2988ds/408Mi)
% 9.63/2.62 % (6789)Instruction limit reached!
% 9.63/2.62 % (6789)------------------------------
% 9.63/2.62 % (6789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.62 % (6789)Termination reason: Unknown
% 9.63/2.62 % (6789)Termination phase: Saturation
% 9.63/2.62
% 9.63/2.62 % (6789)Memory used [KB]: 6652
% 9.63/2.62 % (6789)Time elapsed: 0.157 s
% 9.63/2.62 % (6789)Instructions burned: 368 (million)
% 9.63/2.62 % (6789)------------------------------
% 9.63/2.62 % (6789)------------------------------
% 9.63/2.64 % (6807)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_6459 for (2987ds/5205Mi)
% 9.63/2.68 % (6765)Instruction limit reached!
% 9.63/2.68 % (6765)------------------------------
% 9.63/2.68 % (6765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.63/2.68 % (6765)Termination reason: Unknown
% 9.63/2.68 % (6765)Termination phase: Saturation
% 9.63/2.68
% 9.63/2.68 % (6765)Memory used [KB]: 8571
% 9.63/2.68 % (6765)Time elapsed: 0.385 s
% 9.63/2.68 % (6765)Instructions burned: 987 (million)
% 9.63/2.68 % (6765)------------------------------
% 9.63/2.68 % (6765)------------------------------
% 10.27/2.70 % (6810)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_6459 for (2987ds/1913Mi)
% 10.27/2.79 % (6805)Instruction limit reached!
% 10.27/2.79 % (6805)------------------------------
% 10.27/2.79 % (6805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.27/2.79 % (6805)Termination reason: Unknown
% 10.27/2.79 % (6805)Termination phase: Saturation
% 10.27/2.79
% 10.27/2.79 % (6805)Memory used [KB]: 6268
% 10.27/2.79 % (6805)Time elapsed: 0.175 s
% 10.27/2.79 % (6805)Instructions burned: 408 (million)
% 10.27/2.79 % (6805)------------------------------
% 10.27/2.79 % (6805)------------------------------
% 10.47/2.81 % (6780)Instruction limit reached!
% 10.47/2.81 % (6780)------------------------------
% 10.47/2.81 % (6780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.47/2.81 % (6780)Termination reason: Unknown
% 10.47/2.81 % (6780)Termination phase: Saturation
% 10.47/2.81
% 10.47/2.81 % (6780)Memory used [KB]: 6908
% 10.47/2.81 % (6780)Time elapsed: 0.423 s
% 10.47/2.81 % (6780)Instructions burned: 924 (million)
% 10.47/2.81 % (6780)------------------------------
% 10.47/2.81 % (6780)------------------------------
% 10.47/2.81 % (6812)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_6459 for (2986ds/4350Mi)
% 10.47/2.83 % (6814)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_6459 for (2985ds/68Mi)
% 10.47/2.86 % (6814)Instruction limit reached!
% 10.47/2.86 % (6814)------------------------------
% 10.47/2.86 % (6814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.47/2.86 % (6814)Termination reason: Unknown
% 10.47/2.86 % (6814)Termination phase: Saturation
% 10.47/2.86
% 10.47/2.86 % (6814)Memory used [KB]: 5756
% 10.47/2.86 % (6814)Time elapsed: 0.032 s
% 10.47/2.86 % (6814)Instructions burned: 69 (million)
% 10.47/2.86 % (6814)------------------------------
% 10.47/2.86 % (6814)------------------------------
% 10.47/2.89 % (6816)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_6459 for (2985ds/358Mi)
% 10.92/2.90 % (6790)Instruction limit reached!
% 10.92/2.90 % (6790)------------------------------
% 10.92/2.90 % (6790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.92/2.90 % (6790)Termination reason: Unknown
% 10.92/2.90 % (6790)Termination phase: Saturation
% 10.92/2.90
% 10.92/2.90 % (6790)Memory used [KB]: 7036
% 10.92/2.90 % (6790)Time elapsed: 0.433 s
% 10.92/2.90 % (6790)Instructions burned: 1022 (million)
% 10.92/2.90 % (6790)------------------------------
% 10.92/2.90 % (6790)------------------------------
% 10.92/2.92 % (6818)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_6459 for (2985ds/31Mi)
% 10.92/2.93 % (6818)Instruction limit reached!
% 10.92/2.93 % (6818)------------------------------
% 10.92/2.93 % (6818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.92/2.93 % (6818)Termination reason: Unknown
% 10.92/2.93 % (6818)Termination phase: Property scanning
% 10.92/2.93
% 10.92/2.93 % (6818)Memory used [KB]: 1151
% 10.92/2.93 % (6818)Time elapsed: 0.015 s
% 10.92/2.93 % (6818)Instructions burned: 31 (million)
% 10.92/2.93 % (6818)------------------------------
% 10.92/2.93 % (6818)------------------------------
% 10.92/2.95 % (6819)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_6459 for (2984ds/279Mi)
% 10.92/2.97 % (6819)Refutation not found, incomplete strategy
% 10.92/2.97 % (6819)------------------------------
% 10.92/2.97 % (6819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.92/2.97 % (6819)Termination reason: Refutation not found, incomplete strategy
% 10.92/2.97
% 10.92/2.97
% 10.92/2.97 % (6819)Memory used [KB]: 5756
% 10.92/2.97 % (6819)Time elapsed: 0.021 s
% 10.92/2.97 % (6819)Instructions burned: 44 (million)
% 10.92/2.97 % (6819)------------------------------
% 10.92/2.97 % (6819)------------------------------
% 10.92/2.99 % (6820)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_6459 for (2984ds/258Mi)
% 10.92/3.01 % (6816)Instruction limit reached!
% 10.92/3.01 % (6816)------------------------------
% 10.92/3.01 % (6816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.92/3.01 % (6816)Termination reason: Unknown
% 10.92/3.01 % (6816)Termination phase: Saturation
% 10.92/3.01
% 10.92/3.01 % (6816)Memory used [KB]: 6396
% 10.92/3.01 % (6816)Time elapsed: 0.147 s
% 10.92/3.01 % (6816)Instructions burned: 359 (million)
% 10.92/3.01 % (6816)------------------------------
% 10.92/3.01 % (6816)------------------------------
% 13.34/3.03 % (6823)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_6459 for (2984ds/26Mi)
% 13.34/3.04 % (6823)Instruction limit reached!
% 13.34/3.04 % (6823)------------------------------
% 13.34/3.04 % (6823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.34/3.04 % (6823)Termination reason: Unknown
% 13.34/3.04 % (6823)Termination phase: Saturation
% 13.34/3.04
% 13.34/3.04 % (6823)Memory used [KB]: 5628
% 13.34/3.04 % (6823)Time elapsed: 0.013 s
% 13.34/3.04 % (6823)Instructions burned: 27 (million)
% 13.34/3.04 % (6823)------------------------------
% 13.34/3.04 % (6823)------------------------------
% 13.34/3.06 % (6826)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_6459 for (2983ds/995Mi)
% 13.34/3.10 % (6820)Instruction limit reached!
% 13.34/3.10 % (6820)------------------------------
% 13.34/3.10 % (6820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.34/3.10 % (6820)Termination reason: Unknown
% 13.34/3.10 % (6820)Termination phase: Saturation
% 13.34/3.10
% 13.34/3.10 % (6820)Memory used [KB]: 6652
% 13.34/3.10 % (6820)Time elapsed: 0.113 s
% 13.34/3.10 % (6820)Instructions burned: 259 (million)
% 13.34/3.10 % (6820)------------------------------
% 13.34/3.10 % (6820)------------------------------
% 13.34/3.11 % (6828)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_6459 for (2983ds/373Mi)
% 14.36/3.24 % (6828)Instruction limit reached!
% 14.36/3.24 % (6828)------------------------------
% 14.36/3.24 % (6828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.36/3.24 % (6828)Termination reason: Unknown
% 14.36/3.24 % (6828)Termination phase: Saturation
% 14.36/3.24
% 14.36/3.24 % (6828)Memory used [KB]: 6908
% 14.36/3.24 % (6828)Time elapsed: 0.128 s
% 14.36/3.24 % (6828)Instructions burned: 373 (million)
% 14.36/3.24 % (6828)------------------------------
% 14.36/3.24 % (6828)------------------------------
% 14.36/3.26 % (6830)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_6459 for (2981ds/253Mi)
% 14.99/3.30 % (6803)Instruction limit reached!
% 14.99/3.30 % (6803)------------------------------
% 14.99/3.30 % (6803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.99/3.30 % (6803)Termination reason: Unknown
% 14.99/3.30 % (6803)Termination phase: Saturation
% 14.99/3.30
% 14.99/3.30 % (6803)Memory used [KB]: 7675
% 14.99/3.30 % (6803)Time elapsed: 0.696 s
% 14.99/3.30 % (6803)Instructions burned: 1539 (million)
% 14.99/3.30 % (6803)------------------------------
% 14.99/3.30 % (6803)------------------------------
% 14.99/3.32 % (6831)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_6459 for (2981ds/832Mi)
% 14.99/3.34 % (6831)Refutation not found, incomplete strategy
% 14.99/3.34 % (6831)------------------------------
% 14.99/3.34 % (6831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.99/3.34 % (6831)Termination reason: Refutation not found, incomplete strategy
% 14.99/3.34
% 14.99/3.34
% 14.99/3.34 % (6831)Memory used [KB]: 5884
% 14.99/3.34 % (6831)Time elapsed: 0.028 s
% 14.99/3.34 % (6831)Instructions burned: 58 (million)
% 14.99/3.34 % (6831)------------------------------
% 14.99/3.34 % (6831)------------------------------
% 14.99/3.36 % (6834)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_6459 for (2980ds/668Mi)
% 14.99/3.38 % (6830)Instruction limit reached!
% 14.99/3.38 % (6830)------------------------------
% 14.99/3.38 % (6830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.99/3.38 % (6830)Termination reason: Unknown
% 14.99/3.38 % (6830)Termination phase: Saturation
% 14.99/3.38
% 14.99/3.38 % (6830)Memory used [KB]: 6140
% 14.99/3.38 % (6830)Time elapsed: 0.120 s
% 14.99/3.38 % (6830)Instructions burned: 254 (million)
% 14.99/3.38 % (6830)------------------------------
% 14.99/3.38 % (6830)------------------------------
% 14.99/3.39 % (6835)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_6459 for (2980ds/40Mi)
% 15.58/3.41 % (6835)Instruction limit reached!
% 15.58/3.41 % (6835)------------------------------
% 15.58/3.41 % (6835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.58/3.41 % (6835)Termination reason: Unknown
% 15.58/3.41 % (6835)Termination phase: Saturation
% 15.58/3.41
% 15.58/3.41 % (6835)Memory used [KB]: 5756
% 15.58/3.41 % (6835)Time elapsed: 0.021 s
% 15.58/3.41 % (6835)Instructions burned: 41 (million)
% 15.58/3.41 % (6835)------------------------------
% 15.58/3.41 % (6835)------------------------------
% 15.58/3.43 % (6837)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_6459 for (2980ds/294Mi)
% 15.58/3.46 % (6826)Instruction limit reached!
% 15.58/3.46 % (6826)------------------------------
% 15.58/3.46 % (6826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.58/3.46 % (6826)Termination reason: Unknown
% 15.58/3.46 % (6826)Termination phase: Saturation
% 15.58/3.46
% 15.58/3.46 % (6826)Memory used [KB]: 7547
% 15.58/3.46 % (6826)Time elapsed: 0.406 s
% 15.58/3.46 % (6826)Instructions burned: 996 (million)
% 15.58/3.46 % (6826)------------------------------
% 15.58/3.46 % (6826)------------------------------
% 15.58/3.48 % (6840)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_6459 for (2979ds/187Mi)
% 16.44/3.51 % (6810)Instruction limit reached!
% 16.44/3.51 % (6810)------------------------------
% 16.44/3.51 % (6810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.51 % (6810)Termination reason: Unknown
% 16.44/3.51 % (6810)Termination phase: Saturation
% 16.44/3.51
% 16.44/3.51 % (6810)Memory used [KB]: 3326
% 16.44/3.51 % (6810)Time elapsed: 0.810 s
% 16.44/3.51 % (6810)Instructions burned: 1913 (million)
% 16.44/3.51 % (6810)------------------------------
% 16.44/3.51 % (6810)------------------------------
% 16.44/3.53 % (6842)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_6459 for (2979ds/371Mi)
% 16.44/3.55 % (6837)Instruction limit reached!
% 16.44/3.55 % (6837)------------------------------
% 16.44/3.55 % (6837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.55 % (6837)Termination reason: Unknown
% 16.44/3.55 % (6837)Termination phase: Saturation
% 16.44/3.55
% 16.44/3.55 % (6837)Memory used [KB]: 5884
% 16.44/3.55 % (6837)Time elapsed: 0.127 s
% 16.44/3.55 % (6837)Instructions burned: 294 (million)
% 16.44/3.55 % (6837)------------------------------
% 16.44/3.55 % (6837)------------------------------
% 16.44/3.57 % (6840)Instruction limit reached!
% 16.44/3.57 % (6840)------------------------------
% 16.44/3.57 % (6840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.44/3.57 % (6840)Termination reason: Unknown
% 16.44/3.57 % (6840)Termination phase: Saturation
% 16.44/3.57
% 16.44/3.57 % (6840)Memory used [KB]: 6652
% 16.44/3.57 % (6840)Time elapsed: 0.086 s
% 16.44/3.57 % (6840)Instructions burned: 187 (million)
% 16.44/3.57 % (6840)------------------------------
% 16.44/3.57 % (6840)------------------------------
% 16.44/3.57 % (6843)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_6459 for (2978ds/1827Mi)
% 16.44/3.59 % (6844)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_6459 for (2978ds/70Mi)
% 16.99/3.62 % (6834)Refutation not found, non-redundant clauses discarded% (6834)------------------------------
% 16.99/3.62 % (6834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/3.62 % (6834)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.99/3.62
% 16.99/3.62 % (6834)Memory used [KB]: 11769
% 16.99/3.62 % (6834)Time elapsed: 0.263 s
% 16.99/3.62 % (6834)Instructions burned: 626 (million)
% 16.99/3.62 % (6834)------------------------------
% 16.99/3.62 % (6834)------------------------------
% 16.99/3.62 % (6844)Instruction limit reached!
% 16.99/3.62 % (6844)------------------------------
% 16.99/3.62 % (6844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/3.62 % (6844)Termination reason: Unknown
% 16.99/3.62 % (6844)Termination phase: Saturation
% 16.99/3.62
% 16.99/3.62 % (6844)Memory used [KB]: 1535
% 16.99/3.62 % (6844)Time elapsed: 0.061 s
% 16.99/3.62 % (6844)Instructions burned: 71 (million)
% 16.99/3.62 % (6844)------------------------------
% 16.99/3.62 % (6844)------------------------------
% 16.99/3.64 % (6849)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_6459 for (2978ds/932Mi)
% 16.99/3.64 % (6848)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_6459 for (2978ds/316Mi)
% 16.99/3.68 % (6848)Refutation not found, incomplete strategy
% 16.99/3.68 % (6848)------------------------------
% 16.99/3.68 % (6848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/3.68 % (6848)Termination reason: Refutation not found, incomplete strategy
% 16.99/3.68
% 16.99/3.68
% 16.99/3.68 % (6848)Memory used [KB]: 5884
% 16.99/3.68 % (6848)Time elapsed: 0.072 s
% 16.99/3.68 % (6848)Instructions burned: 53 (million)
% 16.99/3.68 % (6848)------------------------------
% 16.99/3.68 % (6848)------------------------------
% 16.99/3.69 % (6842)Instruction limit reached!
% 16.99/3.69 % (6842)------------------------------
% 16.99/3.69 % (6842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/3.69 % (6842)Termination reason: Unknown
% 16.99/3.69 % (6842)Termination phase: Saturation
% 16.99/3.69
% 16.99/3.69 % (6842)Memory used [KB]: 6652
% 16.99/3.69 % (6842)Time elapsed: 0.170 s
% 16.99/3.69 % (6842)Instructions burned: 372 (million)
% 16.99/3.69 % (6842)------------------------------
% 16.99/3.69 % (6842)------------------------------
% 17.80/3.70 % (6852)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_6459 for (2977ds/4714Mi)
% 17.80/3.71 % (6853)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_6459 for (2977ds/8250Mi)
% 17.80/3.73 % (6852)Refutation not found, incomplete strategy
% 17.80/3.73 % (6852)------------------------------
% 17.80/3.73 % (6852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.80/3.73 % (6852)Termination reason: Refutation not found, incomplete strategy
% 17.80/3.73
% 17.80/3.73
% 17.80/3.73 % (6852)Memory used [KB]: 5756
% 17.80/3.73 % (6852)Time elapsed: 0.027 s
% 17.80/3.73 % (6852)Instructions burned: 56 (million)
% 17.80/3.73 % (6852)------------------------------
% 17.80/3.73 % (6852)------------------------------
% 17.80/3.74 % (6855)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_6459 for (2977ds/770Mi)
% 17.80/3.77 % (6855)Refutation not found, incomplete strategy
% 17.80/3.77 % (6855)------------------------------
% 17.80/3.77 % (6855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.80/3.77 % (6855)Termination reason: Refutation not found, incomplete strategy
% 17.80/3.77
% 17.80/3.77
% 17.80/3.77 % (6855)Memory used [KB]: 5884
% 17.80/3.77 % (6855)Time elapsed: 0.051 s
% 17.80/3.77 % (6855)Instructions burned: 63 (million)
% 17.80/3.77 % (6855)------------------------------
% 17.80/3.77 % (6855)------------------------------
% 17.80/3.79 % (6858)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_6459 for (2976ds/794Mi)
% 20.07/4.06 % (6849)Instruction limit reached!
% 20.07/4.06 % (6849)------------------------------
% 20.07/4.06 % (6849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.07/4.06 % (6849)Termination reason: Unknown
% 20.07/4.06 % (6849)Termination phase: Saturation
% 20.07/4.06
% 20.07/4.06 % (6849)Memory used [KB]: 9850
% 20.07/4.06 % (6849)Time elapsed: 0.418 s
% 20.07/4.06 % (6849)Instructions burned: 933 (million)
% 20.07/4.06 % (6849)------------------------------
% 20.07/4.06 % (6849)------------------------------
% 20.07/4.07 % (6860)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_6459 for (2973ds/464Mi)
% 20.72/4.16 % (6858)Instruction limit reached!
% 20.72/4.16 % (6858)------------------------------
% 20.72/4.16 % (6858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.72/4.16 % (6858)Termination reason: Unknown
% 20.72/4.16 % (6858)Termination phase: Saturation
% 20.72/4.16
% 20.72/4.16 % (6858)Memory used [KB]: 3198
% 20.72/4.16 % (6858)Time elapsed: 0.400 s
% 20.72/4.16 % (6858)Instructions burned: 795 (million)
% 20.72/4.16 % (6858)------------------------------
% 20.72/4.16 % (6858)------------------------------
% 20.72/4.18 % (6863)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_6459 for (2972ds/1376Mi)
% 21.14/4.28 % (6860)Instruction limit reached!
% 21.14/4.28 % (6860)------------------------------
% 21.14/4.28 % (6860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.14/4.28 % (6860)Termination reason: Unknown
% 21.14/4.28 % (6860)Termination phase: Saturation
% 21.14/4.28
% 21.14/4.28 % (6860)Memory used [KB]: 6268
% 21.14/4.28 % (6860)Time elapsed: 0.229 s
% 21.14/4.28 % (6860)Instructions burned: 466 (million)
% 21.14/4.28 % (6860)------------------------------
% 21.14/4.28 % (6860)------------------------------
% 21.14/4.29 % (6865)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_6459 for (2971ds/906Mi)
% 21.85/4.33 % (6843)Instruction limit reached!
% 21.85/4.33 % (6843)------------------------------
% 21.85/4.33 % (6843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.85/4.33 % (6843)Termination reason: Unknown
% 21.85/4.33 % (6843)Termination phase: Saturation
% 21.85/4.33
% 21.85/4.33 % (6843)Memory used [KB]: 8187
% 21.85/4.33 % (6843)Time elapsed: 0.777 s
% 21.85/4.33 % (6843)Instructions burned: 1827 (million)
% 21.85/4.33 % (6843)------------------------------
% 21.85/4.33 % (6843)------------------------------
% 21.85/4.35 % (6867)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_6459 for (2970ds/434Mi)
% 21.85/4.37 % (6867)Refutation not found, incomplete strategy
% 21.85/4.37 % (6867)------------------------------
% 21.85/4.37 % (6867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.85/4.37 % (6867)Termination reason: Refutation not found, incomplete strategy
% 21.85/4.37
% 21.85/4.37
% 21.85/4.37 % (6867)Memory used [KB]: 5756
% 21.85/4.37 % (6867)Time elapsed: 0.021 s
% 21.85/4.37 % (6867)Instructions burned: 43 (million)
% 21.85/4.37 % (6867)------------------------------
% 21.85/4.37 % (6867)------------------------------
% 21.85/4.38 % (6869)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_6459 for (2970ds/865Mi)
% 21.85/4.40 % (6869)Refutation not found, incomplete strategy
% 21.85/4.40 % (6869)------------------------------
% 21.85/4.40 % (6869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.85/4.40 % (6869)Termination reason: Refutation not found, incomplete strategy
% 21.85/4.40
% 21.85/4.40
% 21.85/4.40 % (6869)Memory used [KB]: 5756
% 21.85/4.40 % (6869)Time elapsed: 0.014 s
% 21.85/4.40 % (6869)Instructions burned: 25 (million)
% 21.85/4.40 % (6869)------------------------------
% 21.85/4.40 % (6869)------------------------------
% 22.36/4.41 % (6870)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_6459 for (2970ds/593Mi)
% 22.75/4.51 % (6802)Instruction limit reached!
% 22.75/4.51 % (6802)------------------------------
% 22.75/4.51 % (6802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.75/4.51 % (6802)Termination reason: Unknown
% 22.75/4.51 % (6802)Termination phase: Saturation
% 22.75/4.51
% 22.75/4.51 % (6802)Memory used [KB]: 10106
% 22.75/4.51 % (6802)Time elapsed: 1.925 s
% 22.75/4.51 % (6802)Instructions burned: 4437 (million)
% 22.75/4.51 % (6802)------------------------------
% 22.75/4.51 % (6802)------------------------------
% 22.75/4.53 % (6872)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_6459 for (2969ds/443Mi)
% 22.75/4.57 % (6812)Instruction limit reached!
% 22.75/4.57 % (6812)------------------------------
% 22.75/4.57 % (6812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.75/4.57 % (6812)Termination reason: Unknown
% 22.75/4.57 % (6812)Termination phase: Saturation
% 22.75/4.57
% 22.75/4.57 % (6812)Memory used [KB]: 9210
% 22.75/4.57 % (6812)Time elapsed: 1.783 s
% 22.75/4.57 % (6812)Instructions burned: 4350 (million)
% 22.75/4.57 % (6812)------------------------------
% 22.75/4.57 % (6812)------------------------------
% 23.03/4.60 % (6875)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_6459 for (2968ds/594Mi)
% 23.03/4.61 % (6865)Instruction limit reached!
% 23.03/4.61 % (6865)------------------------------
% 23.03/4.61 % (6865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.03/4.61 % (6865)Termination reason: Unknown
% 23.03/4.61 % (6865)Termination phase: Saturation
% 23.03/4.61
% 23.03/4.61 % (6865)Memory used [KB]: 9338
% 23.03/4.61 % (6865)Time elapsed: 0.321 s
% 23.03/4.61 % (6865)Instructions burned: 907 (million)
% 23.03/4.61 % (6865)------------------------------
% 23.03/4.61 % (6865)------------------------------
% 23.03/4.64 % (6876)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_6459 for (2967ds/327Mi)
% 23.03/4.68 % (6870)Instruction limit reached!
% 23.03/4.68 % (6870)------------------------------
% 23.03/4.68 % (6870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.03/4.68 % (6870)Termination reason: Unknown
% 23.03/4.68 % (6870)Termination phase: Saturation
% 23.03/4.68
% 23.03/4.68 % (6870)Memory used [KB]: 6524
% 23.03/4.68 % (6870)Time elapsed: 0.272 s
% 23.03/4.68 % (6870)Instructions burned: 593 (million)
% 23.03/4.68 % (6870)------------------------------
% 23.03/4.68 % (6870)------------------------------
% 23.84/4.70 % (6877)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_6459 for (2967ds/5411Mi)
% 23.84/4.72 % (6877)Refutation not found, incomplete strategy
% 23.84/4.72 % (6877)------------------------------
% 23.84/4.72 % (6877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.84/4.72 % (6877)Termination reason: Refutation not found, incomplete strategy
% 23.84/4.72
% 23.84/4.72
% 23.84/4.72 % (6877)Memory used [KB]: 5756
% 23.84/4.72 % (6877)Time elapsed: 0.022 s
% 23.84/4.72 % (6877)Instructions burned: 44 (million)
% 23.84/4.72 % (6877)------------------------------
% 23.84/4.72 % (6877)------------------------------
% 23.84/4.73 % (6872)Instruction limit reached!
% 23.84/4.73 % (6872)------------------------------
% 23.84/4.73 % (6872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.84/4.73 % (6872)Termination reason: Unknown
% 23.84/4.73 % (6872)Termination phase: Saturation
% 23.84/4.73
% 23.84/4.73 % (6872)Memory used [KB]: 6780
% 23.84/4.73 % (6872)Time elapsed: 0.200 s
% 23.84/4.73 % (6872)Instructions burned: 444 (million)
% 23.84/4.73 % (6872)------------------------------
% 23.84/4.73 % (6872)------------------------------
% 23.84/4.73 % (6880)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_6459 for (2966ds/1762Mi)
% 23.84/4.75 % (6882)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_6459 for (2966ds/96Mi)
% 23.84/4.78 % (6876)Instruction limit reached!
% 23.84/4.78 % (6876)------------------------------
% 23.84/4.78 % (6876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.84/4.78 % (6876)Termination reason: Unknown
% 23.84/4.78 % (6876)Termination phase: Saturation
% 23.84/4.78
% 23.84/4.78 % (6876)Memory used [KB]: 7547
% 23.84/4.78 % (6876)Time elapsed: 0.140 s
% 23.84/4.78 % (6876)Instructions burned: 329 (million)
% 23.84/4.78 % (6876)------------------------------
% 23.84/4.78 % (6876)------------------------------
% 23.84/4.79 % (6884)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_6459 for (2966ds/503Mi)
% 23.84/4.79 % (6863)Instruction limit reached!
% 23.84/4.79 % (6863)------------------------------
% 23.84/4.79 % (6863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.84/4.79 % (6863)Termination reason: Unknown
% 23.84/4.79 % (6863)Termination phase: Saturation
% 23.84/4.79
% 23.84/4.79 % (6863)Memory used [KB]: 8827
% 23.84/4.79 % (6863)Time elapsed: 0.616 s
% 23.84/4.79 % (6863)Instructions burned: 1376 (million)
% 23.84/4.79 % (6863)------------------------------
% 23.84/4.79 % (6863)------------------------------
% 23.84/4.80 % (6882)Instruction limit reached!
% 23.84/4.80 % (6882)------------------------------
% 23.84/4.80 % (6882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.84/4.80 % (6882)Termination reason: Unknown
% 23.84/4.80 % (6882)Termination phase: Saturation
% 23.84/4.80
% 23.84/4.80 % (6882)Memory used [KB]: 5884
% 23.84/4.80 % (6882)Time elapsed: 0.048 s
% 23.84/4.80 % (6882)Instructions burned: 96 (million)
% 23.84/4.80 % (6882)------------------------------
% 23.84/4.80 % (6882)------------------------------
% 24.95/4.81 % (6886)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_6459 for (2966ds/90Mi)
% 24.95/4.81 % (6884)Refutation not found, incomplete strategy
% 24.95/4.81 % (6884)------------------------------
% 24.95/4.81 % (6884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.95/4.81 % (6884)Termination reason: Refutation not found, incomplete strategy
% 24.95/4.81
% 24.95/4.81
% 24.95/4.81 % (6884)Memory used [KB]: 5756
% 24.95/4.81 % (6884)Time elapsed: 0.023 s
% 24.95/4.81 % (6884)Instructions burned: 47 (million)
% 24.95/4.81 % (6884)------------------------------
% 24.95/4.81 % (6884)------------------------------
% 24.95/4.81 % (6887)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_6459 for (2966ds/593Mi)
% 24.95/4.83 % (6888)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_6459 for (2966ds/1512Mi)
% 24.95/4.84 % (6807)Instruction limit reached!
% 24.95/4.84 % (6807)------------------------------
% 24.95/4.84 % (6807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.95/4.84 % (6807)Termination reason: Unknown
% 24.95/4.84 % (6807)Termination phase: Saturation
% 24.95/4.84
% 24.95/4.84 % (6807)Memory used [KB]: 16375
% 24.95/4.84 % (6807)Time elapsed: 2.222 s
% 24.95/4.84 % (6807)Instructions burned: 5205 (million)
% 24.95/4.84 % (6807)------------------------------
% 24.95/4.84 % (6807)------------------------------
% 24.95/4.85 % (6886)Instruction limit reached!
% 24.95/4.85 % (6886)------------------------------
% 24.95/4.85 % (6886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.95/4.85 % (6886)Termination reason: Unknown
% 24.95/4.85 % (6886)Termination phase: Saturation
% 24.95/4.85
% 24.95/4.85 % (6886)Memory used [KB]: 5884
% 24.95/4.85 % (6886)Time elapsed: 0.042 s
% 24.95/4.85 % (6886)Instructions burned: 90 (million)
% 24.95/4.85 % (6886)------------------------------
% 24.95/4.85 % (6886)------------------------------
% 24.95/4.86 % (6891)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_6459 for (2965ds/569Mi)
% 24.95/4.86 % (6888)Refutation not found, incomplete strategy
% 24.95/4.86 % (6888)------------------------------
% 24.95/4.86 % (6888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.95/4.86 % (6888)Termination reason: Refutation not found, incomplete strategy
% 24.95/4.86
% 24.95/4.86
% 24.95/4.86 % (6888)Memory used [KB]: 5884
% 24.95/4.86 % (6888)Time elapsed: 0.032 s
% 24.95/4.86 % (6888)Instructions burned: 76 (million)
% 24.95/4.86 % (6888)------------------------------
% 24.95/4.86 % (6888)------------------------------
% 24.95/4.86 % (6892)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_6459 for (2965ds/501Mi)
% 24.95/4.86 % (6875)Instruction limit reached!
% 24.95/4.86 % (6875)------------------------------
% 24.95/4.86 % (6875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.95/4.86 % (6875)Termination reason: Unknown
% 24.95/4.86 % (6875)Termination phase: Saturation
% 24.95/4.86
% 24.95/4.86 % (6875)Memory used [KB]: 6780
% 24.95/4.86 % (6875)Time elapsed: 0.262 s
% 24.95/4.86 % (6875)Instructions burned: 594 (million)
% 24.95/4.86 % (6875)------------------------------
% 24.95/4.86 % (6875)------------------------------
% 24.95/4.87 % (6896)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_6459 for (2965ds/406Mi)
% 24.95/4.88 % (6894)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_6459 for (2965ds/562Mi)
% 25.59/4.97 % (6892)Refutation not found, incomplete strategy
% 25.59/4.97 % (6892)------------------------------
% 25.59/4.97 % (6892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.59/4.97 % (6892)Termination reason: Refutation not found, incomplete strategy
% 25.59/4.97
% 25.59/4.97
% 25.59/4.97 % (6892)Memory used [KB]: 6396
% 25.59/4.97 % (6892)Time elapsed: 0.108 s
% 25.59/4.97 % (6892)Instructions burned: 268 (million)
% 25.59/4.97 % (6892)------------------------------
% 25.59/4.97 % (6892)------------------------------
% 25.59/4.99 % (6901)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_6459 for (2964ds/582Mi)
% 25.59/5.02 % (6896)Instruction limit reached!
% 25.59/5.02 % (6896)------------------------------
% 25.59/5.02 % (6896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.59/5.02 % (6896)Termination reason: Unknown
% 25.59/5.02 % (6896)Termination phase: Saturation
% 25.59/5.02
% 25.59/5.02 % (6896)Memory used [KB]: 7036
% 25.59/5.02 % (6896)Time elapsed: 0.152 s
% 25.59/5.02 % (6896)Instructions burned: 408 (million)
% 25.59/5.02 % (6896)------------------------------
% 25.59/5.02 % (6896)------------------------------
% 26.81/5.03 % (6902)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_6459 for (2963ds/456Mi)
% 26.81/5.09 % (6894)Refutation not found, non-redundant clauses discarded% (6894)------------------------------
% 26.81/5.09 % (6894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.81/5.09 % (6894)Termination reason: Refutation not found, non-redundant clauses discarded
% 26.81/5.09
% 26.81/5.09 % (6894)Memory used [KB]: 7036
% 26.81/5.09 % (6894)Time elapsed: 0.229 s
% 26.81/5.09 % (6894)Instructions burned: 477 (million)
% 26.81/5.09 % (6894)------------------------------
% 26.81/5.09 % (6894)------------------------------
% 26.81/5.09 % (6887)Instruction limit reached!
% 26.81/5.09 % (6887)------------------------------
% 26.81/5.09 % (6887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.81/5.09 % (6887)Termination reason: Unknown
% 26.81/5.09 % (6887)Termination phase: Saturation
% 26.81/5.09
% 26.81/5.09 % (6887)Memory used [KB]: 7547
% 26.81/5.09 % (6887)Time elapsed: 0.281 s
% 26.81/5.09 % (6887)Instructions burned: 593 (million)
% 26.81/5.09 % (6887)------------------------------
% 26.81/5.09 % (6887)------------------------------
% 26.81/5.10 % (6904)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_6459 for (2963ds/393Mi)
% 26.81/5.11 % (6905)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_6459 for (2963ds/1335Mi)
% 26.81/5.12 % (6891)Instruction limit reached!
% 26.81/5.12 % (6891)------------------------------
% 26.81/5.12 % (6891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.81/5.12 % (6891)Termination reason: Unknown
% 26.81/5.12 % (6891)Termination phase: Saturation
% 26.81/5.12
% 26.81/5.12 % (6891)Memory used [KB]: 6780
% 26.81/5.12 % (6891)Time elapsed: 0.269 s
% 26.81/5.12 % (6891)Instructions burned: 571 (million)
% 26.81/5.12 % (6891)------------------------------
% 26.81/5.12 % (6891)------------------------------
% 27.38/5.13 % (6906)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_6459 for (2963ds/3373Mi)
% 27.59/5.22 % (6904)Instruction limit reached!
% 27.59/5.22 % (6904)------------------------------
% 27.59/5.22 % (6904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.59/5.22 % (6904)Termination reason: Unknown
% 27.59/5.22 % (6904)Termination phase: Saturation
% 27.59/5.22
% 27.59/5.22 % (6904)Memory used [KB]: 7419
% 27.59/5.22 % (6904)Time elapsed: 0.129 s
% 27.59/5.22 % (6904)Instructions burned: 394 (million)
% 27.59/5.22 % (6904)------------------------------
% 27.59/5.22 % (6904)------------------------------
% 27.59/5.23 % (6902)Instruction limit reached!
% 27.59/5.23 % (6902)------------------------------
% 27.59/5.23 % (6902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.59/5.23 % (6902)Termination reason: Unknown
% 27.59/5.23 % (6902)Termination phase: Saturation
% 27.59/5.23
% 27.59/5.23 % (6902)Memory used [KB]: 6524
% 27.59/5.23 % (6902)Time elapsed: 0.197 s
% 27.59/5.23 % (6902)Instructions burned: 456 (million)
% 27.59/5.23 % (6902)------------------------------
% 27.59/5.23 % (6902)------------------------------
% 27.59/5.23 % (6911)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_6459 for (2962ds/474Mi)
% 27.59/5.25 % (6912)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_6459 for (2961ds/157Mi)
% 27.59/5.25 % (6901)Instruction limit reached!
% 27.59/5.25 % (6901)------------------------------
% 27.59/5.25 % (6901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.59/5.25 % (6901)Termination reason: Unknown
% 27.59/5.25 % (6901)Termination phase: Saturation
% 27.59/5.25
% 27.59/5.25 % (6901)Memory used [KB]: 6524
% 27.59/5.25 % (6901)Time elapsed: 0.266 s
% 27.59/5.25 % (6901)Instructions burned: 583 (million)
% 27.59/5.25 % (6901)------------------------------
% 27.59/5.25 % (6901)------------------------------
% 27.59/5.27 % (6913)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_6459 for (2961ds/590Mi)
% 28.19/5.30 % (6912)Instruction limit reached!
% 28.19/5.30 % (6912)------------------------------
% 28.19/5.30 % (6912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.19/5.30 % (6912)Termination reason: Unknown
% 28.19/5.30 % (6912)Termination phase: Saturation
% 28.19/5.30
% 28.19/5.30 % (6912)Memory used [KB]: 6012
% 28.19/5.30 % (6912)Time elapsed: 0.053 s
% 28.19/5.30 % (6912)Instructions burned: 158 (million)
% 28.19/5.30 % (6912)------------------------------
% 28.19/5.30 % (6912)------------------------------
% 28.19/5.31 % (6915)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_6459 for (2961ds/104Mi)
% 28.19/5.34 % (6915)Instruction limit reached!
% 28.19/5.34 % (6915)------------------------------
% 28.19/5.34 % (6915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.19/5.34 % (6915)Termination reason: Unknown
% 28.19/5.34 % (6915)Termination phase: Saturation
% 28.19/5.34
% 28.19/5.34 % (6915)Memory used [KB]: 6012
% 28.19/5.34 % (6915)Time elapsed: 0.038 s
% 28.19/5.34 % (6915)Instructions burned: 105 (million)
% 28.19/5.34 % (6915)------------------------------
% 28.19/5.34 % (6915)------------------------------
% 28.19/5.35 % (6918)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_6459 for (2960ds/414Mi)
% 28.51/5.42 % (6911)Instruction limit reached!
% 28.51/5.42 % (6911)------------------------------
% 28.51/5.42 % (6911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.51/5.42 % (6911)Termination reason: Unknown
% 28.51/5.42 % (6911)Termination phase: Saturation
% 28.51/5.42
% 28.51/5.42 % (6911)Memory used [KB]: 6780
% 28.51/5.42 % (6911)Time elapsed: 0.185 s
% 28.51/5.42 % (6911)Instructions burned: 476 (million)
% 28.51/5.42 % (6911)------------------------------
% 28.51/5.42 % (6911)------------------------------
% 28.51/5.43 % (6880)Instruction limit reached!
% 28.51/5.43 % (6880)------------------------------
% 28.51/5.43 % (6880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.51/5.43 % (6880)Termination reason: Unknown
% 28.51/5.43 % (6880)Termination phase: Saturation
% 28.51/5.43
% 28.51/5.43 % (6880)Memory used [KB]: 7931
% 28.51/5.43 % (6880)Time elapsed: 0.695 s
% 28.51/5.43 % (6880)Instructions burned: 1764 (million)
% 28.51/5.43 % (6880)------------------------------
% 28.51/5.43 % (6880)------------------------------
% 28.51/5.43 % (6920)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_6459 for (2960ds/715Mi)
% 28.51/5.44 % (6921)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_6459 for (2960ds/961Mi)
% 28.51/5.49 % (6918)Instruction limit reached!
% 28.51/5.49 % (6918)------------------------------
% 28.51/5.49 % (6918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.51/5.49 % (6918)Termination reason: Unknown
% 28.51/5.49 % (6918)Termination phase: Saturation
% 28.51/5.49
% 28.51/5.49 % (6918)Memory used [KB]: 6140
% 28.51/5.49 % (6918)Time elapsed: 0.133 s
% 28.51/5.49 % (6918)Instructions burned: 414 (million)
% 28.51/5.49 % (6918)------------------------------
% 28.51/5.49 % (6918)------------------------------
% 28.51/5.50 % (6924)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_6459 for (2959ds/1213Mi)
% 28.99/5.54 % (6913)Instruction limit reached!
% 28.99/5.54 % (6913)------------------------------
% 28.99/5.54 % (6913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.99/5.54 % (6913)Termination reason: Unknown
% 28.99/5.54 % (6913)Termination phase: Saturation
% 28.99/5.54
% 28.99/5.54 % (6913)Memory used [KB]: 6780
% 28.99/5.54 % (6913)Time elapsed: 0.275 s
% 28.99/5.54 % (6913)Instructions burned: 590 (million)
% 28.99/5.54 % (6913)------------------------------
% 28.99/5.54 % (6913)------------------------------
% 28.99/5.56 % (6926)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_6459 for (2958ds/1979Mi)
% 29.37/5.65 % (6905)Instruction limit reached!
% 29.37/5.65 % (6905)------------------------------
% 29.37/5.65 % (6905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.65 % (6905)Termination reason: Unknown
% 29.37/5.65 % (6905)Termination phase: Saturation
% 29.37/5.65
% 29.37/5.65 % (6905)Memory used [KB]: 8571
% 29.37/5.65 % (6905)Time elapsed: 0.540 s
% 29.37/5.65 % (6905)Instructions burned: 1335 (million)
% 29.37/5.65 % (6905)------------------------------
% 29.37/5.65 % (6905)------------------------------
% 29.37/5.66 % (6928)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_6459 for (2957ds/481Mi)
% 30.03/5.76 % (6920)Instruction limit reached!
% 30.03/5.76 % (6920)------------------------------
% 30.03/5.76 % (6920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.03/5.76 % (6920)Termination reason: Unknown
% 30.03/5.76 % (6920)Termination phase: Saturation
% 30.03/5.76
% 30.03/5.76 % (6920)Memory used [KB]: 2814
% 30.03/5.76 % (6920)Time elapsed: 0.348 s
% 30.03/5.76 % (6920)Instructions burned: 716 (million)
% 30.03/5.76 % (6920)------------------------------
% 30.03/5.76 % (6920)------------------------------
% 30.03/5.77 % (6931)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_6459 for (2956ds/783Mi)
% 30.45/5.81 % (6928)Instruction limit reached!
% 30.45/5.81 % (6928)------------------------------
% 30.45/5.81 % (6928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.81 % (6928)Termination reason: Unknown
% 30.45/5.81 % (6928)Termination phase: Saturation
% 30.45/5.81
% 30.45/5.81 % (6928)Memory used [KB]: 6908
% 30.45/5.81 % (6928)Time elapsed: 0.177 s
% 30.45/5.81 % (6928)Instructions burned: 483 (million)
% 30.45/5.81 % (6928)------------------------------
% 30.45/5.81 % (6928)------------------------------
% 30.45/5.83 % (6932)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_6459 for (2956ds/432Mi)
% 30.45/5.89 % (6921)Instruction limit reached!
% 30.45/5.89 % (6921)------------------------------
% 30.45/5.89 % (6921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.45/5.89 % (6921)Termination reason: Unknown
% 30.45/5.89 % (6921)Termination phase: Saturation
% 30.45/5.89
% 30.45/5.89 % (6921)Memory used [KB]: 7547
% 30.45/5.89 % (6921)Time elapsed: 0.464 s
% 30.45/5.89 % (6921)Instructions burned: 961 (million)
% 30.45/5.89 % (6921)------------------------------
% 30.45/5.89 % (6921)------------------------------
% 31.16/5.92 % (6934)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_6459 for (2955ds/1670Mi)
% 31.16/6.02 % (6932)Instruction limit reached!
% 31.16/6.02 % (6932)------------------------------
% 31.16/6.02 % (6932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.16/6.02 % (6932)Termination reason: Unknown
% 31.16/6.02 % (6932)Termination phase: Saturation
% 31.16/6.02
% 31.16/6.02 % (6932)Memory used [KB]: 6908
% 31.16/6.02 % (6932)Time elapsed: 0.197 s
% 31.16/6.02 % (6932)Instructions burned: 432 (million)
% 31.16/6.02 % (6932)------------------------------
% 31.16/6.02 % (6932)------------------------------
% 33.58/6.02 % (6924)Instruction limit reached!
% 33.58/6.02 % (6924)------------------------------
% 33.58/6.02 % (6924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.58/6.02 % (6924)Termination reason: Unknown
% 33.58/6.02 % (6924)Termination phase: Saturation
% 33.58/6.02
% 33.58/6.02 % (6924)Memory used [KB]: 8059
% 33.58/6.02 % (6924)Time elapsed: 0.551 s
% 33.58/6.02 % (6924)Instructions burned: 1214 (million)
% 33.58/6.02 % (6924)------------------------------
% 33.58/6.02 % (6924)------------------------------
% 33.58/6.04 % (6936)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_6459 for (2953ds/90Mi)
% 33.58/6.04 % (6937)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_6459 for (2953ds/346Mi)
% 33.58/6.07 % (6936)Instruction limit reached!
% 33.58/6.07 % (6936)------------------------------
% 33.58/6.07 % (6936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.58/6.07 % (6936)Termination reason: Unknown
% 33.58/6.07 % (6936)Termination phase: Saturation
% 33.58/6.07
% 33.58/6.07 % (6936)Memory used [KB]: 5884
% 33.58/6.07 % (6936)Time elapsed: 0.030 s
% 33.58/6.07 % (6936)Instructions burned: 90 (million)
% 33.58/6.07 % (6936)------------------------------
% 33.58/6.07 % (6936)------------------------------
% 33.58/6.08 % (6939)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_6459 for (2953ds/401Mi)
% 33.58/6.10 % (6931)Instruction limit reached!
% 33.58/6.10 % (6931)------------------------------
% 33.58/6.10 % (6931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.58/6.10 % (6931)Termination reason: Unknown
% 33.58/6.10 % (6931)Termination phase: Saturation
% 33.58/6.10
% 33.58/6.10 % (6931)Memory used [KB]: 6524
% 33.58/6.10 % (6931)Time elapsed: 0.355 s
% 33.58/6.10 % (6931)Instructions burned: 784 (million)
% 33.58/6.10 % (6931)------------------------------
% 33.58/6.10 % (6931)------------------------------
% 33.58/6.12 % (6940)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_6459 for (2953ds/6454Mi)
% 34.15/6.19 % (6939)Instruction limit reached!
% 34.15/6.19 % (6939)------------------------------
% 34.15/6.19 % (6939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.15/6.19 % (6939)Termination reason: Unknown
% 34.15/6.19 % (6939)Termination phase: Saturation
% 34.15/6.19
% 34.15/6.19 % (6939)Memory used [KB]: 6652
% 34.15/6.19 % (6939)Time elapsed: 0.116 s
% 34.15/6.19 % (6939)Instructions burned: 403 (million)
% 34.15/6.19 % (6939)------------------------------
% 34.15/6.19 % (6939)------------------------------
% 34.56/6.20 % (6937)Instruction limit reached!
% 34.56/6.20 % (6937)------------------------------
% 34.56/6.20 % (6937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.56/6.20 % (6937)Termination reason: Unknown
% 34.56/6.20 % (6937)Termination phase: Saturation
% 34.56/6.20
% 34.56/6.20 % (6937)Memory used [KB]: 7036
% 34.56/6.20 % (6937)Time elapsed: 0.161 s
% 34.56/6.20 % (6937)Instructions burned: 348 (million)
% 34.56/6.20 % (6937)------------------------------
% 34.56/6.20 % (6937)------------------------------
% 34.56/6.21 % (6943)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_6459 for (2952ds/283Mi)
% 34.56/6.22 % (6944)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_6459 for (2952ds/865Mi)
% 34.56/6.30 % (6943)Instruction limit reached!
% 34.56/6.30 % (6943)------------------------------
% 34.56/6.30 % (6943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.56/6.30 % (6943)Termination reason: Unknown
% 34.56/6.30 % (6943)Termination phase: Saturation
% 34.56/6.30
% 34.56/6.30 % (6943)Memory used [KB]: 6908
% 34.56/6.30 % (6943)Time elapsed: 0.088 s
% 34.56/6.30 % (6943)Instructions burned: 284 (million)
% 34.56/6.30 % (6943)------------------------------
% 34.56/6.30 % (6943)------------------------------
% 35.24/6.31 % (6947)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_6459 for (2951ds/4528Mi)
% 35.24/6.33 % (6947)Refutation not found, incomplete strategy
% 35.24/6.33 % (6947)------------------------------
% 35.24/6.33 % (6947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.24/6.33 % (6947)Termination reason: Refutation not found, incomplete strategy
% 35.24/6.33
% 35.24/6.33
% 35.24/6.33 % (6947)Memory used [KB]: 1407
% 35.24/6.33 % (6947)Time elapsed: 0.024 s
% 35.24/6.33 % (6947)Instructions burned: 75 (million)
% 35.24/6.33 % (6947)------------------------------
% 35.24/6.33 % (6947)------------------------------
% 35.24/6.34 % (6949)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_6459 for (2950ds/1001Mi)
% 35.24/6.39 % (6926)Instruction limit reached!
% 35.24/6.39 % (6926)------------------------------
% 35.24/6.39 % (6926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.24/6.39 % (6926)Termination reason: Unknown
% 35.24/6.39 % (6926)Termination phase: Saturation
% 35.24/6.39
% 35.24/6.39 % (6926)Memory used [KB]: 7547
% 35.24/6.39 % (6926)Time elapsed: 0.849 s
% 35.24/6.39 % (6926)Instructions burned: 1980 (million)
% 35.24/6.39 % (6926)------------------------------
% 35.24/6.39 % (6926)------------------------------
% 35.68/6.41 % (6950)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_6459 for (2950ds/102Mi)
% 35.68/6.46 % (6950)Instruction limit reached!
% 35.68/6.46 % (6950)------------------------------
% 35.68/6.46 % (6950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.68/6.46 % (6950)Termination reason: Unknown
% 35.68/6.46 % (6950)Termination phase: Saturation
% 35.68/6.46
% 35.68/6.46 % (6950)Memory used [KB]: 5884
% 35.68/6.46 % (6950)Time elapsed: 0.046 s
% 35.68/6.46 % (6950)Instructions burned: 102 (million)
% 35.68/6.46 % (6950)------------------------------
% 35.68/6.46 % (6950)------------------------------
% 35.68/6.47 % (6953)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_6459 for (2949ds/952Mi)
% 35.68/6.49 % (6906)Instruction limit reached!
% 35.68/6.49 % (6906)------------------------------
% 35.68/6.49 % (6906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.68/6.49 % (6906)Termination reason: Unknown
% 35.68/6.49 % (6906)Termination phase: Saturation
% 35.68/6.49
% 35.68/6.49 % (6906)Memory used [KB]: 8699
% 35.68/6.49 % (6906)Time elapsed: 1.358 s
% 35.68/6.49 % (6906)Instructions burned: 3373 (million)
% 35.68/6.49 % (6906)------------------------------
% 35.68/6.49 % (6906)------------------------------
% 36.04/6.50 % (6954)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_6459 for (2949ds/578Mi)
% 36.24/6.61 % (6944)Instruction limit reached!
% 36.24/6.61 % (6944)------------------------------
% 36.24/6.61 % (6944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.24/6.61 % (6944)Termination reason: Unknown
% 36.24/6.61 % (6944)Termination phase: Saturation
% 36.24/6.61
% 36.24/6.61 % (6944)Memory used [KB]: 8059
% 36.24/6.61 % (6944)Time elapsed: 0.395 s
% 36.24/6.61 % (6944)Instructions burned: 865 (million)
% 36.24/6.61 % (6944)------------------------------
% 36.24/6.61 % (6944)------------------------------
% 36.24/6.63 % (6934)Instruction limit reached!
% 36.24/6.63 % (6934)------------------------------
% 36.24/6.63 % (6934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.24/6.63 % (6934)Termination reason: Unknown
% 36.24/6.63 % (6934)Termination phase: Saturation
% 36.24/6.63
% 36.24/6.63 % (6934)Memory used [KB]: 7803
% 36.24/6.63 % (6934)Time elapsed: 0.710 s
% 36.24/6.63 % (6934)Instructions burned: 1670 (million)
% 36.24/6.63 % (6934)------------------------------
% 36.24/6.63 % (6934)------------------------------
% 36.24/6.63 % (6957)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_6459 for (2948ds/643Mi)
% 36.24/6.64 % (6959)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_6459 for (2947ds/865Mi)
% 36.81/6.74 % (6949)Instruction limit reached!
% 36.81/6.74 % (6949)------------------------------
% 36.81/6.74 % (6949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.81/6.74 % (6949)Termination reason: Unknown
% 36.81/6.74 % (6949)Termination phase: Saturation
% 36.81/6.74
% 36.81/6.74 % (6949)Memory used [KB]: 8827
% 36.81/6.74 % (6949)Time elapsed: 0.401 s
% 36.81/6.74 % (6949)Instructions burned: 1001 (million)
% 36.81/6.74 % (6949)------------------------------
% 36.81/6.74 % (6949)------------------------------
% 36.81/6.76 % (6962)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_6459 for (2946ds/1174Mi)
% 36.81/6.76 % (6954)Instruction limit reached!
% 36.81/6.76 % (6954)------------------------------
% 36.81/6.76 % (6954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.81/6.76 % (6954)Termination reason: Unknown
% 36.81/6.76 % (6954)Termination phase: Saturation
% 36.81/6.76
% 36.81/6.76 % (6954)Memory used [KB]: 6908
% 36.81/6.76 % (6954)Time elapsed: 0.263 s
% 36.81/6.76 % (6954)Instructions burned: 578 (million)
% 36.81/6.76 % (6954)------------------------------
% 36.81/6.76 % (6954)------------------------------
% 36.81/6.78 % (6963)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_6459 for (2946ds/644Mi)
% 37.59/6.85 % (6953)Instruction limit reached!
% 37.59/6.85 % (6953)------------------------------
% 37.59/6.85 % (6953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.59/6.85 % (6953)Termination reason: Unknown
% 37.59/6.85 % (6953)Termination phase: Saturation
% 37.59/6.85
% 37.59/6.85 % (6953)Memory used [KB]: 7419
% 37.59/6.85 % (6953)Time elapsed: 0.381 s
% 37.59/6.85 % (6953)Instructions burned: 954 (million)
% 37.59/6.85 % (6953)------------------------------
% 37.59/6.85 % (6953)------------------------------
% 37.59/6.87 % (6965)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_6459 for (2945ds/1201Mi)
% 38.08/6.90 % (6957)Instruction limit reached!
% 38.08/6.90 % (6957)------------------------------
% 38.08/6.90 % (6957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.08/6.90 % (6957)Termination reason: Unknown
% 38.08/6.90 % (6957)Termination phase: Saturation
% 38.08/6.90
% 38.08/6.90 % (6957)Memory used [KB]: 6524
% 38.08/6.90 % (6957)Time elapsed: 0.279 s
% 38.08/6.90 % (6957)Instructions burned: 643 (million)
% 38.08/6.90 % (6957)------------------------------
% 38.08/6.90 % (6957)------------------------------
% 38.08/6.92 % (6966)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_6459 for (2945ds/1046Mi)
% 38.08/6.98 % (6959)Instruction limit reached!
% 38.08/6.98 % (6959)------------------------------
% 38.08/6.98 % (6959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.08/6.98 % (6959)Termination reason: Unknown
% 38.08/6.98 % (6959)Termination phase: Saturation
% 38.08/6.98
% 38.08/6.98 % (6959)Memory used [KB]: 7419
% 38.08/6.98 % (6959)Time elapsed: 0.345 s
% 38.08/6.98 % (6959)Instructions burned: 865 (million)
% 38.08/6.98 % (6959)------------------------------
% 38.08/6.98 % (6959)------------------------------
% 38.08/7.00 % (6968)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_6459 for (2944ds/222Mi)
% 40.59/7.06 % (6963)Instruction limit reached!
% 40.59/7.06 % (6963)------------------------------
% 40.59/7.06 % (6963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.59/7.06 % (6963)Termination reason: Unknown
% 40.59/7.06 % (6963)Termination phase: Saturation
% 40.59/7.06
% 40.59/7.06 % (6963)Memory used [KB]: 7419
% 40.59/7.06 % (6963)Time elapsed: 0.286 s
% 40.59/7.06 % (6963)Instructions burned: 645 (million)
% 40.59/7.06 % (6963)------------------------------
% 40.59/7.06 % (6963)------------------------------
% 40.59/7.07 % (6973)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_6459 for (2943ds/68Mi)
% 40.59/7.10 % (6973)Instruction limit reached!
% 40.59/7.10 % (6973)------------------------------
% 40.59/7.10 % (6973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.59/7.10 % (6973)Termination reason: Unknown
% 40.59/7.10 % (6973)Termination phase: Saturation
% 40.59/7.10
% 40.59/7.10 % (6973)Memory used [KB]: 5756
% 40.59/7.10 % (6973)Time elapsed: 0.027 s
% 40.59/7.10 % (6973)Instructions burned: 69 (million)
% 40.59/7.10 % (6973)------------------------------
% 40.59/7.10 % (6973)------------------------------
% 40.59/7.10 % (6968)Instruction limit reached!
% 40.59/7.10 % (6968)------------------------------
% 40.59/7.10 % (6968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.59/7.10 % (6968)Termination reason: Unknown
% 40.59/7.10 % (6968)Termination phase: Saturation
% 40.59/7.10
% 40.59/7.10 % (6968)Memory used [KB]: 6396
% 40.59/7.10 % (6968)Time elapsed: 0.103 s
% 40.59/7.10 % (6968)Instructions burned: 223 (million)
% 40.59/7.10 % (6968)------------------------------
% 40.59/7.10 % (6968)------------------------------
% 40.59/7.11 % (6975)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_6459 for (2943ds/360Mi)
% 40.59/7.11 % (6974)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=454:si=on:rtra=on_0 on DTF2THF_6459 for (2943ds/454Mi)
% 41.63/7.23 % (6975)Instruction limit reached!
% 41.63/7.23 % (6975)------------------------------
% 41.63/7.23 % (6975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.23 % (6975)Termination reason: Unknown
% 41.63/7.23 % (6975)Termination phase: Saturation
% 41.63/7.23
% 41.63/7.23 % (6975)Memory used [KB]: 7036
% 41.63/7.23 % (6975)Time elapsed: 0.127 s
% 41.63/7.23 % (6975)Instructions burned: 361 (million)
% 41.63/7.23 % (6975)------------------------------
% 41.63/7.23 % (6975)------------------------------
% 41.63/7.24 % (6979)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_6459 for (2941ds/157Mi)
% 41.63/7.25 % (6962)Refutation not found, non-redundant clauses discarded% (6962)------------------------------
% 41.63/7.25 % (6962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.25 % (6962)Termination reason: Refutation not found, non-redundant clauses discarded
% 41.63/7.25
% 41.63/7.25 % (6962)Memory used [KB]: 7931
% 41.63/7.25 % (6962)Time elapsed: 0.496 s
% 41.63/7.25 % (6962)Instructions burned: 1101 (million)
% 41.63/7.25 % (6962)------------------------------
% 41.63/7.25 % (6962)------------------------------
% 41.63/7.27 % (6974)Refutation not found, non-redundant clauses discarded% (6974)------------------------------
% 41.63/7.27 % (6974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.63/7.27 % (6974)Termination reason: Refutation not found, non-redundant clauses discarded
% 41.63/7.27
% 41.63/7.27 % (6974)Memory used [KB]: 11513
% 41.63/7.27 % (6974)Time elapsed: 0.155 s
% 41.63/7.27 % (6974)Instructions burned: 422 (million)
% 41.63/7.27 % (6974)------------------------------
% 41.63/7.27 % (6974)------------------------------
% 41.63/7.28 % (6980)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_6459 for (2941ds/5061Mi)
% 41.63/7.28 % (6981)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_6459 for (2941ds/2401Mi)
% 42.39/7.31 % (6979)Instruction limit reached!
% 42.39/7.31 % (6979)------------------------------
% 42.39/7.31 % (6979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.39/7.31 % (6979)Termination reason: Unknown
% 42.39/7.31 % (6979)Termination phase: Saturation
% 42.39/7.31
% 42.39/7.31 % (6979)Memory used [KB]: 6012
% 42.39/7.31 % (6979)Time elapsed: 0.072 s
% 42.39/7.31 % (6979)Instructions burned: 158 (million)
% 42.39/7.31 % (6979)------------------------------
% 42.39/7.31 % (6979)------------------------------
% 42.39/7.33 % (6983)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_6459 for (2941ds/5798Mi)
% 42.39/7.37 % (6966)Refutation not found, non-redundant clauses discarded% (6966)------------------------------
% 42.39/7.37 % (6966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.39/7.37 % (6966)Termination reason: Refutation not found, non-redundant clauses discarded
% 42.39/7.37
% 42.39/7.37 % (6966)Memory used [KB]: 8827
% 42.39/7.37 % (6966)Time elapsed: 0.453 s
% 42.39/7.37 % (6966)Instructions burned: 1043 (million)
% 42.39/7.37 % (6966)------------------------------
% 42.39/7.37 % (6966)------------------------------
% 42.39/7.39 % (6985)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_6459 for (2940ds/346Mi)
% 42.85/7.41 % (6853)Instruction limit reached!
% 42.85/7.41 % (6853)------------------------------
% 42.85/7.41 % (6853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.85/7.41 % (6853)Termination reason: Unknown
% 42.85/7.41 % (6853)Termination phase: Saturation
% 42.85/7.41
% 42.85/7.41 % (6853)Memory used [KB]: 13432
% 42.85/7.41 % (6853)Time elapsed: 3.719 s
% 42.85/7.41 % (6853)Instructions burned: 8251 (million)
% 42.85/7.41 % (6853)------------------------------
% 42.85/7.41 % (6853)------------------------------
% 42.85/7.43 % (6965)Instruction limit reached!
% 42.85/7.43 % (6965)------------------------------
% 42.85/7.43 % (6965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.85/7.43 % (6965)Termination reason: Unknown
% 42.85/7.43 % (6965)Termination phase: Saturation
% 42.85/7.43
% 42.85/7.43 % (6965)Memory used [KB]: 8315
% 42.85/7.43 % (6965)Time elapsed: 0.560 s
% 42.85/7.43 % (6965)Instructions burned: 1201 (million)
% 42.85/7.43 % (6965)------------------------------
% 42.85/7.43 % (6965)------------------------------
% 42.85/7.43 % (6988)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_6459 for (2940ds/1321Mi)
% 42.85/7.44 % (6989)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_6459 for (2939ds/1312Mi)
% 42.85/7.48 % (6988)Refutation not found, incomplete strategy
% 42.85/7.48 % (6988)------------------------------
% 42.85/7.48 % (6988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.85/7.48 % (6988)Termination reason: Refutation not found, incomplete strategy
% 42.85/7.48
% 42.85/7.48
% 42.85/7.48 % (6988)Memory used [KB]: 1407
% 42.85/7.48 % (6988)Time elapsed: 0.067 s
% 42.85/7.48 % (6988)Instructions burned: 79 (million)
% 42.85/7.48 % (6988)------------------------------
% 42.85/7.48 % (6988)------------------------------
% 43.05/7.50 % (6991)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_6459 for (2939ds/672Mi)
% 43.05/7.55 % (6985)Instruction limit reached!
% 43.05/7.55 % (6985)------------------------------
% 43.05/7.55 % (6985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.05/7.55 % (6985)Termination reason: Unknown
% 43.05/7.55 % (6985)Termination phase: Saturation
% 43.05/7.55
% 43.05/7.55 % (6985)Memory used [KB]: 6396
% 43.05/7.55 % (6985)Time elapsed: 0.162 s
% 43.05/7.55 % (6985)Instructions burned: 346 (million)
% 43.05/7.55 % (6985)------------------------------
% 43.05/7.55 % (6985)------------------------------
% 43.05/7.56 % (6995)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_6459 for (2938ds/1897Mi)
% 43.44/7.78 % (6991)Instruction limit reached!
% 43.44/7.78 % (6991)------------------------------
% 43.44/7.78 % (6991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.44/7.78 % (6991)Termination reason: Unknown
% 43.44/7.78 % (6991)Termination phase: Saturation
% 43.44/7.78
% 43.44/7.78 % (6991)Memory used [KB]: 7036
% 43.44/7.78 % (6991)Time elapsed: 0.281 s
% 43.44/7.78 % (6991)Instructions burned: 674 (million)
% 43.44/7.78 % (6991)------------------------------
% 43.44/7.78 % (6991)------------------------------
% 43.44/7.79 % (6997)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_6459 for (2936ds/1202Mi)
% 43.93/7.93 % (6989)Instruction limit reached!
% 43.93/7.93 % (6989)------------------------------
% 43.93/7.93 % (6989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.93/7.93 % (6989)Termination reason: Unknown
% 43.93/7.93 % (6989)Termination phase: Saturation
% 43.93/7.93
% 43.93/7.93 % (6989)Memory used [KB]: 7291
% 43.93/7.93 % (6989)Time elapsed: 0.487 s
% 43.93/7.93 % (6989)Instructions burned: 1313 (million)
% 43.93/7.93 % (6989)------------------------------
% 43.93/7.93 % (6989)------------------------------
% 43.93/7.94 % (6999)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_6459 for (2934ds/1493Mi)
% 43.93/7.97 % (6999)Refutation not found, incomplete strategy
% 43.93/7.97 % (6999)------------------------------
% 43.93/7.97 % (6999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.93/7.97 % (6999)Termination reason: Refutation not found, incomplete strategy
% 43.93/7.97
% 43.93/7.97
% 43.93/7.97 % (6999)Memory used [KB]: 5756
% 43.93/7.97 % (6999)Time elapsed: 0.028 s
% 43.93/7.97 % (6999)Instructions burned: 59 (million)
% 43.93/7.97 % (6999)------------------------------
% 43.93/7.97 % (6999)------------------------------
% 43.93/7.98 % (7000)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_6459 for (2934ds/7679Mi)
% 48.72/8.24 % (6981)Instruction limit reached!
% 48.72/8.24 % (6981)------------------------------
% 48.72/8.24 % (6981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.72/8.24 % (6981)Termination reason: Unknown
% 48.72/8.24 % (6981)Termination phase: Saturation
% 48.72/8.24
% 48.72/8.24 % (6981)Memory used [KB]: 4477
% 48.72/8.24 % (6981)Time elapsed: 0.961 s
% 48.72/8.24 % (6981)Instructions burned: 2402 (million)
% 48.72/8.24 % (6981)------------------------------
% 48.72/8.24 % (6981)------------------------------
% 48.72/8.26 % (7003)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_6459 for (2931ds/340Mi)
% 49.36/8.31 % (6997)Instruction limit reached!
% 49.36/8.31 % (6997)------------------------------
% 49.36/8.31 % (6997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.36/8.31 % (6997)Termination reason: Unknown
% 49.36/8.31 % (6997)Termination phase: Saturation
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% 49.36/8.31 % (6997)Memory used [KB]: 2814
% 49.36/8.31 % (6997)Time elapsed: 0.524 s
% 49.36/8.31 % (6997)Instructions burned: 1203 (million)
% 49.36/8.31 % (6997)------------------------------
% 49.36/8.31 % (6997)------------------------------
% 49.36/8.33 % (7004)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_6459 for (2931ds/3672Mi)
% 49.36/8.36 % (6995)Instruction limit reached!
% 49.36/8.36 % (6995)------------------------------
% 49.36/8.36 % (6995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.36/8.36 % (6995)Termination reason: Unknown
% 49.36/8.36 % (6995)Termination phase: Saturation
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% 49.36/8.36 % (6995)Memory used [KB]: 8059
% 49.36/8.36 % (6995)Time elapsed: 0.796 s
% 49.36/8.36 % (6995)Instructions burned: 1897 (million)
% 49.36/8.36 % (6995)------------------------------
% 49.36/8.36 % (6995)------------------------------
% 49.36/8.37 % (7005)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_6459 for (2930ds/1535Mi)
% 49.81/8.40 % (7003)Instruction limit reached!
% 49.81/8.40 % (7003)------------------------------
% 49.81/8.40 % (7003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.81/8.40 % (7003)Termination reason: Unknown
% 49.81/8.40 % (7003)Termination phase: Saturation
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% 49.81/8.40 % (7003)Memory used [KB]: 6908
% 49.81/8.40 % (7003)Time elapsed: 0.168 s
% 49.81/8.40 % (7003)Instructions burned: 341 (million)
% 49.81/8.40 % (7003)------------------------------
% 49.81/8.40 % (7003)------------------------------
% 49.81/8.42 % (7007)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_6459 for (2930ds/4637Mi)
% 49.81/8.46 % (7000)First to succeed.
% 49.81/8.48 % (7000)Refutation found. Thanks to Tanya!
% 49.81/8.48 % SZS status Theorem for DTF2THF_6459
% 49.81/8.48 % SZS output start Proof for DTF2THF_6459
% 49.81/8.48 thf(type_def_6, type, nat: $tType).
% 49.81/8.48 thf(type_def_7, type, list: ($tType) > $tType).
% 49.81/8.48 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 49.81/8.48 thf(func_def_2, type, nat: $tType).
% 49.81/8.48 thf(func_def_3, type, natStar: nat > nat > $o).
% 49.81/8.48 thf(func_def_4, type, zero: nat).
% 49.81/8.48 thf(func_def_5, type, suc: nat > nat).
% 49.81/8.48 thf(func_def_6, type, plus: nat > nat > nat).
% 49.81/8.48 thf(func_def_7, type, list: ($tType) > $tType).
% 49.81/8.48 thf(func_def_8, type, listStar: !>[X0: $tType]:((X0 > X0 > $o) > nat > list @ X0 > list @ X0 > $o)).
% 49.81/8.48 thf(func_def_9, type, nil: !>[X0: $tType]:(list @ X0)).
% 49.81/8.48 thf(func_def_10, type, cons: !>[X0: $tType]:(nat > X0 > list @ X0 > list @ X0)).
% 49.81/8.48 thf(func_def_11, type, app: !>[X0: $tType]:(nat > nat > list @ X0 > list @ X0 > list @ X0)).
% 49.81/8.48 thf(func_def_14, type, sK0: nat).
% 49.81/8.48 thf(func_def_15, type, sK1: list @ list @ list @ nat).
% 49.81/8.48 thf(func_def_16, type, sK2: nat).
% 49.81/8.48 thf(func_def_17, type, sK3: list @ list @ list @ nat).
% 49.81/8.48 thf(func_def_18, type, sK4: nat).
% 49.81/8.48 thf(func_def_19, type, sK5: list @ list @ nat).
% 49.81/8.48 thf(func_def_20, type, sK6: list @ list @ list @ nat).
% 49.81/8.48 thf(func_def_21, type, ph7: !>[X0: $tType]:(X0)).
% 49.81/8.48 thf(f629,plain,(
% 49.81/8.48 $false),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f628,f65])).
% 49.81/8.48 thf(f65,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3))),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.48 thf(f56,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ sK0 @ sK2)) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ (suc @ sK4) @ sK0) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3))) & ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) = $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK0 @ sK2) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ sK4 @ (plus @ sK0 @ sK2) @ sK6 @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)) = $true)),
% 49.81/8.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f48,f55])).
% 49.81/8.48 thf(f55,plain,(
% 49.81/8.48 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) & ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ sK0 @ sK2)) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ (suc @ sK4) @ sK0) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3))) & ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) = $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK0 @ sK2) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ sK4 @ (plus @ sK0 @ sK2) @ sK6 @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)) = $true))),
% 49.81/8.48 introduced(definition,[],[choice_axiom])).
% 49.81/8.48 thf(f48,plain,(
% 49.81/8.48 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) & ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) & ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) & ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))))),
% 49.81/8.48 inference(flattening,[status(thm)],[f47])).
% 49.81/8.48 thf(f47,plain,(
% 49.81/8.48 ? [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((((($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) & ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) & ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) & ($true = (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)) @ X0 @ X1 @ X1) = $true))),
% 49.81/8.48 inference(ennf_transformation,[status(thm)],[f41])).
% 49.81/8.48 thf(f41,plain,(
% 49.81/8.48 ~! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) => ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))))))))),
% 49.81/8.48 inference(fool_elimination,[status(thm)],[f40])).
% 49.81/8.48 thf(f40,plain,(
% 49.81/8.48 ~! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : 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 @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3)))))))),
% 49.81/8.48 inference(rectify,[status(thm)],[f16])).
% 49.81/8.48 thf(f16,negated_conjecture,(
% 49.81/8.48 ~! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => ((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) @ X20 @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18) @ X19)) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ (suc @ X13) @ X15) @ X16 @ (app @ list @ list @ nat @ (suc @ X13) @ X15 @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ X18) @ X19)))))))),
% 49.81/8.48 inference(negated_conjecture,[status(cth)],[f15])).
% 49.81/8.48 thf(f15,conjecture,(
% 49.81/8.48 ! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => ((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) @ X20 @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18) @ X19)) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ (suc @ X13) @ X15) @ X16 @ (app @ list @ list @ nat @ (suc @ X13) @ X15 @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ X18) @ X19)))))))),
% 49.81/8.48 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',list_app_assoc_indstep)).
% 49.81/8.48 thf(f628,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f627,f63])).
% 49.81/8.48 thf(f63,plain,(
% 49.81/8.48 ($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5))),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.48 thf(f627,plain,(
% 49.81/8.48 ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f626,f62])).
% 49.81/8.48 thf(f62,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) = $true)),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.48 thf(f626,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f625,f82])).
% 49.81/8.48 thf(f82,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3)))),
% 49.81/8.48 inference(forward_demodulation,[status(thm)],[f76,f58])).
% 49.81/8.48 thf(f58,plain,(
% 49.81/8.48 ( ! [X2 : nat,X0 : nat,X1 : nat] : (((plus @ X0 @ (plus @ X1 @ X2)) = (plus @ (plus @ X0 @ X1) @ X2))) )),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f44])).
% 49.81/8.48 thf(f44,plain,(
% 49.81/8.48 ! [X0 : nat,X1 : nat,X2 : nat] : ((plus @ X0 @ (plus @ X1 @ X2)) = (plus @ (plus @ X0 @ X1) @ X2))),
% 49.81/8.48 inference(rectify,[status(thm)],[f9])).
% 49.81/8.48 thf(f9,axiom,(
% 49.81/8.48 ! [X14 : nat,X15 : nat,X16 : nat] : ((plus @ X14 @ (plus @ X15 @ X16)) = (plus @ (plus @ X14 @ X15) @ X16))),
% 49.81/8.48 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',plus_assoc)).
% 49.81/8.48 thf(f76,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ sK0 @ sK2) @ (plus @ sK0 @ sK2))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3)) != $true)),
% 49.81/8.48 inference(forward_demodulation,[status(thm)],[f75,f72])).
% 49.81/8.48 thf(f72,plain,(
% 49.81/8.48 ( ! [X0 : nat,X1 : nat] : (((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))) )),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f42])).
% 49.81/8.48 thf(f42,plain,(
% 49.81/8.48 ! [X0 : nat,X1 : nat] : ((plus @ (suc @ X0) @ X1) = (suc @ (plus @ X0 @ X1)))),
% 49.81/8.48 inference(rectify,[status(thm)],[f7])).
% 49.81/8.48 thf(f7,axiom,(
% 49.81/8.48 ! [X8 : nat,X13 : nat] : ((plus @ (suc @ X8) @ X13) = (suc @ (plus @ X8 @ X13)))),
% 49.81/8.48 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',ax2)).
% 49.81/8.48 thf(f75,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ sK0 @ sK2) @ (plus @ sK0 @ sK2))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ (suc @ sK4) @ sK0) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3)) != $true)),
% 49.81/8.48 inference(backward_demodulation,[status(thm)],[f64,f72])).
% 49.81/8.48 thf(f64,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ sK0 @ sK2)) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ (suc @ sK4) @ sK0) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3)))),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.48 thf(f625,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f624,f61])).
% 49.81/8.48 thf(f61,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))),
% 49.81/8.48 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.48 thf(f624,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5))),
% 49.81/8.48 inference(trivial_inequality_removal,[status(thm)],[f623])).
% 49.81/8.48 thf(f623,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ($true != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (app @ list @ list @ nat @ (suc @ sK4) @ sK0 @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ sK1) @ sK3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true)),
% 49.81/8.48 inference(superposition,[status(thm)],[f96,f427])).
% 49.81/8.48 thf(f427,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true)),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f426,f61])).
% 49.81/8.48 thf(f426,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f425,f65])).
% 49.81/8.48 thf(f425,plain,(
% 49.81/8.48 ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f424,f63])).
% 49.81/8.48 thf(f424,plain,(
% 49.81/8.48 ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3))),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f423,f62])).
% 49.81/8.48 thf(f423,plain,(
% 49.81/8.48 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true)),
% 49.81/8.48 inference(trivial_inequality_removal,[status(thm)],[f422])).
% 49.81/8.48 thf(f422,plain,(
% 49.81/8.48 ($true != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (suc @ (plus @ sK4 @ sK0)) @ sK2 @ (cons @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK5 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1)) @ sK3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ sK5 @ sK5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true)),
% 49.81/8.48 inference(superposition,[status(thm)],[f141,f403])).
% 49.81/8.48 thf(f403,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ sK5 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3))))),
% 49.81/8.48 inference(trivial_inequality_removal,[status(thm)],[f402])).
% 49.81/8.48 thf(f402,plain,(
% 49.81/8.48 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ sK5 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ sK5 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)))) | ($true != $true)),
% 49.81/8.48 inference(superposition,[status(thm)],[f304,f63])).
% 49.81/8.48 thf(f304,plain,(
% 49.81/8.48 ( ! [X0 : list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X0 @ X0)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ X0 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ X0 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3))))) )),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f303,f61])).
% 49.81/8.48 thf(f303,plain,(
% 49.81/8.48 ( ! [X0 : list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X0 @ X0)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ X0 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ X0 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))) )),
% 49.81/8.48 inference(subsumption_resolution,[status(thm)],[f302,f62])).
% 49.81/8.48 thf(f302,plain,(
% 49.81/8.48 ( ! [X0 : list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ X0 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ X0 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X0 @ X0)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))) )),
% 49.81/8.49 inference(subsumption_resolution,[status(thm)],[f276,f65])).
% 49.81/8.49 thf(f276,plain,(
% 49.81/8.49 ( ! [X0 : list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X0 @ X0)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ X0 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ X0 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6))) )),
% 49.81/8.49 inference(trivial_inequality_removal,[status(thm)],[f275])).
% 49.81/8.49 thf(f275,plain,(
% 49.81/8.49 ( ! [X0 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK0 @ sK1 @ sK1) != $true) | ($true != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X0 @ X0)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK2 @ sK3 @ sK3)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ sK4 @ sK6 @ sK6)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2)))) @ (app @ list @ list @ nat @ (suc @ sK4) @ (plus @ sK0 @ sK2) @ (cons @ list @ list @ nat @ sK4 @ X0 @ sK6) @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (cons @ list @ list @ nat @ (plus @ sK4 @ (plus @ sK0 @ sK2)) @ X0 @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3))))) )),
% 49.81/8.49 inference(superposition,[status(thm)],[f258,f77])).
% 49.81/8.49 thf(f77,plain,(
% 49.81/8.49 ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ sK0 @ (plus @ sK2 @ (plus @ sK0 @ sK2))) @ (app @ list @ list @ nat @ sK4 @ (plus @ sK0 @ sK2) @ sK6 @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)))),
% 49.81/8.49 inference(backward_demodulation,[status(thm)],[f60,f58])).
% 49.81/8.49 thf(f60,plain,(
% 49.81/8.49 ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ sK0 @ sK2) @ (plus @ sK0 @ sK2)) @ (app @ list @ list @ nat @ sK4 @ (plus @ sK0 @ sK2) @ sK6 @ (app @ list @ list @ nat @ sK0 @ sK2 @ sK1 @ sK3)) @ (app @ list @ list @ nat @ (plus @ sK4 @ sK0) @ sK2 @ (app @ list @ list @ nat @ sK4 @ sK0 @ sK6 @ sK1) @ sK3)) = $true)),
% 49.81/8.49 inference(cnf_transformation,[status(thm)],[f56])).
% 49.81/8.49 thf(f258,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f257,f58])).
% 49.81/8.49 thf(f257,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) )),
% 49.81/8.49 inference(subsumption_resolution,[status(thm)],[f256,f85])).
% 49.81/8.49 thf(f85,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (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)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true)) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f84,f58])).
% 49.81/8.49 thf(f84,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (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)) @ X0 @ X1 @ X1) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f71,f72])).
% 49.81/8.49 thf(f71,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(cnf_transformation,[status(thm)],[f46])).
% 49.81/8.49 thf(f46,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)))),
% 49.81/8.49 inference(flattening,[status(thm)],[f45])).
% 49.81/8.49 thf(f45,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : ((((((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) | ($true != (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)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(ennf_transformation,[status(thm)],[f21])).
% 49.81/8.49 thf(f21,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true)))))),
% 49.81/8.49 inference(fool_elimination,[status(thm)],[f20])).
% 49.81/8.49 thf(f20,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : 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 @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3))))))))),
% 49.81/8.49 inference(rectify,[status(thm)],[f14])).
% 49.81/8.49 thf(f14,axiom,(
% 49.81/8.49 ! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (cons @ list @ list @ nat @ (plus @ X13 @ (plus @ X15 @ X16)) @ X2 @ (app @ list @ list @ nat @ X13 @ (plus @ X15 @ X16) @ X20 @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19))))))))),
% 49.81/8.49 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',list_app_assoc_indstep4)).
% 49.81/8.49 thf(f256,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $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)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f255,f58])).
% 49.81/8.49 thf(f255,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3))))) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (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)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true)) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f254,f58])).
% 49.81/8.49 thf(f254,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3))))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f253,f72])).
% 49.81/8.49 thf(f253,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f252,f72])).
% 49.81/8.49 thf(f252,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (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)) @ X0 @ X1 @ X1) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f67,f58])).
% 49.81/8.49 thf(f67,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($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)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) )),
% 49.81/8.49 inference(cnf_transformation,[status(thm)],[f50])).
% 49.81/8.49 thf(f50,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true) | ($true != (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)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)))),
% 49.81/8.49 inference(flattening,[status(thm)],[f49])).
% 49.81/8.49 thf(f49,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : ((((((((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) != $true)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) | ($true != (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)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(ennf_transformation,[status(thm)],[f27])).
% 49.81/8.49 thf(f27,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) => (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) = $true) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true)))))))),
% 49.81/8.49 inference(fool_elimination,[status(thm)],[f26])).
% 49.81/8.49 thf(f26,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : 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 @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ X4 @ (plus @ X0 @ X2) @ X6 @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)))) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))))))))),
% 49.81/8.49 inference(rectify,[status(thm)],[f13])).
% 49.81/8.49 thf(f13,axiom,(
% 49.81/8.49 ! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => ((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) @ X20 @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18) @ X19)) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (cons @ list @ list @ nat @ (plus @ X13 @ (plus @ X15 @ X16)) @ X2 @ (app @ list @ list @ nat @ X13 @ (plus @ X15 @ X16) @ X20 @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)))) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X13 @ X15) @ X16) @ X2 @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18) @ X19)))))))))),
% 49.81/8.49 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',list_app_assoc_indstep3)).
% 49.81/8.49 thf(f141,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ X4 @ (plus @ X0 @ X2)) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f140,f58])).
% 49.81/8.49 thf(f140,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f139,f58])).
% 49.81/8.49 thf(f139,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f138,f58])).
% 49.81/8.49 thf(f138,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f137,f72])).
% 49.81/8.49 thf(f137,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (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)) @ X0 @ X1 @ X1) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3)))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f66,f72])).
% 49.81/8.49 thf(f66,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (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)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true)) )),
% 49.81/8.49 inference(cnf_transformation,[status(thm)],[f52])).
% 49.81/8.49 thf(f52,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) != $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(flattening,[status(thm)],[f51])).
% 49.81/8.49 thf(f51,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((((((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) != $true)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) | ($true != (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)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(ennf_transformation,[status(thm)],[f37])).
% 49.81/8.49 thf(f37,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) => (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) = $true) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true))))))),
% 49.81/8.49 inference(fool_elimination,[status(thm)],[f36])).
% 49.81/8.49 thf(f36,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : 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 @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X4 @ X0) @ X2) @ X5 @ (app @ list @ list @ nat @ (plus @ X4 @ X0) @ X2 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1) @ X3))) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)))))))),
% 49.81/8.49 inference(rectify,[status(thm)],[f12])).
% 49.81/8.49 thf(f12,axiom,(
% 49.81/8.49 ! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (cons @ list @ list @ nat @ (plus @ (plus @ X13 @ X15) @ X16) @ X2 @ (app @ list @ list @ nat @ (plus @ X13 @ X15) @ X16 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18) @ X19))) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (suc @ (plus @ X13 @ X15)) @ X16 @ (cons @ list @ list @ nat @ (plus @ X13 @ X15) @ X2 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18)) @ X19)))))))),
% 49.81/8.49 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',list_app_assoc_indstep2)).
% 49.81/8.49 thf(f96,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f95,f58])).
% 49.81/8.49 thf(f95,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f94,f72])).
% 49.81/8.49 thf(f94,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ X0 @ (plus @ X2 @ (plus @ X0 @ X2)))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3)) = $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3))) | ($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 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true)) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f93,f58])).
% 49.81/8.49 thf(f93,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3)) = $true) | ($true != (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)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f92,f72])).
% 49.81/8.49 thf(f92,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) != $true) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (suc @ (plus @ (plus @ X0 @ X2) @ (plus @ X0 @ X2))) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3)) = $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3))) )),
% 49.81/8.49 inference(forward_demodulation,[status(thm)],[f59,f72])).
% 49.81/8.49 thf(f59,plain,(
% 49.81/8.49 ( ! [X2 : nat,X3 : list @ list @ list @ nat,X0 : nat,X1 : list @ list @ list @ nat,X6 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat] : (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true != (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)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) != $true)) )),
% 49.81/8.49 inference(cnf_transformation,[status(thm)],[f54])).
% 49.81/8.49 thf(f54,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) | ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) | ($true != (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)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) != $true) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(flattening,[status(thm)],[f53])).
% 49.81/8.49 thf(f53,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((((($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))) | ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) != $true)) | ($true != (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6))) | ($true != (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5))) | ($true != (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)) @ X0 @ X1 @ X1) != $true))),
% 49.81/8.49 inference(ennf_transformation,[status(thm)],[f35])).
% 49.81/8.49 thf(f35,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : list @ list @ list @ nat] : (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X0 @ X1 @ X1) = $true) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X2 @ X3 @ X3)) => (($true = (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5)) => (($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6)) => (((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) = $true) => ($true = (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3))))))))),
% 49.81/8.49 inference(fool_elimination,[status(thm)],[f34])).
% 49.81/8.49 thf(f34,plain,(
% 49.81/8.49 ! [X0 : nat,X1 : list @ list @ list @ nat,X2 : nat,X3 : list @ list @ list @ nat,X4 : nat,X5 : list @ list @ nat,X6 : 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 @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X5 @ X5) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X4 @ X6 @ X6) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (suc @ (plus @ X4 @ X0)) @ X2 @ (cons @ list @ list @ nat @ (plus @ X4 @ X0) @ X5 @ (app @ list @ list @ nat @ X4 @ X0 @ X6 @ X1)) @ X3)) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X0 @ X2)) @ (plus @ X0 @ X2)) @ (app @ list @ list @ nat @ (suc @ X4) @ (plus @ X0 @ X2) @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ (app @ list @ list @ nat @ X0 @ X2 @ X1 @ X3)) @ (app @ list @ list @ nat @ (plus @ (suc @ X4) @ X0) @ X2 @ (app @ list @ list @ nat @ (suc @ X4) @ X0 @ (cons @ list @ list @ nat @ X4 @ X5 @ X6) @ X1) @ X3)))))))),
% 49.81/8.49 inference(rectify,[status(thm)],[f11])).
% 49.81/8.49 thf(f11,axiom,(
% 49.81/8.49 ! [X15 : nat,X18 : list @ list @ list @ nat,X16 : nat,X19 : list @ list @ list @ nat,X13 : nat,X2 : list @ list @ nat,X20 : list @ list @ list @ nat] : ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X15 @ X18 @ X18) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X16 @ X19 @ X19) => ((listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero) @ X2 @ X2) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ X13 @ X20 @ X20) => ((listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (suc @ (plus @ X13 @ X15)) @ X16 @ (cons @ list @ list @ nat @ (plus @ X13 @ X15) @ X2 @ (app @ list @ list @ nat @ X13 @ X15 @ X20 @ X18)) @ X19)) => (listStar @ list @ list @ nat @ (listStar @ list @ nat @ (listStar @ nat @ natStar @ (suc @ zero)) @ (suc @ zero)) @ (plus @ (suc @ (plus @ X15 @ X16)) @ (plus @ X15 @ X16)) @ (app @ list @ list @ nat @ (suc @ X13) @ (plus @ X15 @ X16) @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ (app @ list @ list @ nat @ X15 @ X16 @ X18 @ X19)) @ (app @ list @ list @ nat @ (plus @ (suc @ X13) @ X15) @ X16 @ (app @ list @ list @ nat @ (suc @ X13) @ X15 @ (cons @ list @ list @ nat @ X13 @ X2 @ X20) @ X18) @ X19)))))))),
% 49.81/8.49 file('/export/starexec/sandbox2/tmp/tmp.UcB6K4uHga/DTF2THF_6459.p',list_app_assoc_indstep1)).
% 49.81/8.49 % SZS output end Proof for DTF2THF_6459
% 49.81/8.49 % (7000)------------------------------
% 49.81/8.49 % (7000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.81/8.49 % (7000)Termination reason: Refutation
% 49.81/8.49
% 49.81/8.49 % (7000)Memory used [KB]: 2942
% 49.81/8.49 % (7000)Time elapsed: 0.523 s
% 49.81/8.49 % (7000)Instructions burned: 1172 (million)
% 49.81/8.49 % (7000)------------------------------
% 49.81/8.49 % (7000)------------------------------
% 49.81/8.49 % (6603)Success in time 7.073 s
%------------------------------------------------------------------------------