%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT428^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 08:45:43 AM UTC 2026
% Result : Theorem 2.08s 1.85s
% Output : Refutation 2.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT428^1 : TPTP v9.2.1. Released v9.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 06:18:03 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : DAT428^1 : TPTP v9.2.1. Released v9.2.0.
% 0.30/0.45 % Domain : Data Structures
% 0.30/0.45 % Problem : Reversal of a red-black-tree is an involution
% 0.30/0.45 % Version : Especial.
% 0.30/0.45 % English :
% 0.30/0.45
% 0.30/0.45 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.30/0.45 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.30/0.45 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.30/0.45 % Source : [Rot25]
% 0.30/0.45 % Names : RedBlackTree/rbt-rev-invol.p [Rot25]
% 0.30/0.45
% 0.30/0.45 % Status : Theorem
% 0.30/0.45 % Rating : ? v9.2.0
% 0.30/0.45 % Syntax : Number of formulae : 19 ( 5 unt; 11 typ; 0 def)
% 0.30/0.45 % Number of atoms : 19 ( 19 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 8 ( 2 avg)
% 0.30/0.45 % Number of connectives : 321 ( 0 ~; 0 |; 0 &; 310 @)
% 0.30/0.45 % ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 13 ( 7 avg)
% 0.30/0.45 % Number of types : 2 ( 2 usr)
% 0.30/0.45 % Number of type decls : 11 ( 4 !>P; 3 !>D)
% 0.30/0.45 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 10 ( 9 usr; 3 con; 0-7 aty)
% 0.30/0.45 % Number of variables : 58 ( 0 ^; 48 !; 0 ?; 58 :)
% 0.30/0.45 % ( 10 !>; 0 ?*; 0 @-; 0 @+)
% 0.30/0.45 % SPC : DH1_THM_EQU_NAR
% 0.30/0.45
% 0.30/0.45 % Comments :
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(color_type,type,
% 0.30/0.45 color: $tType ).
% 0.30/0.45
% 0.30/0.45 thf(black_type,type,
% 0.30/0.45 black: color ).
% 0.30/0.45
% 0.30/0.45 thf(red_type,type,
% 0.30/0.45 red: color ).
% 0.30/0.45
% 0.30/0.45 thf(nat_type,type,
% 0.30/0.45 nat: $tType ).
% 0.30/0.45
% 0.30/0.45 thf(zero_type,type,
% 0.30/0.45 zero: nat ).
% 0.30/0.45
% 0.30/0.45 thf(suc_type,type,
% 0.30/0.45 suc: nat > nat ).
% 0.30/0.45
% 0.30/0.45 thf(tree_type,type,
% 0.30/0.45 tree: $tType > color > nat > $tType ).
% 0.30/0.45
% 0.30/0.45 thf(leaf_type,type,
% 0.30/0.45 leaf:
% 0.30/0.45 !>[A: $tType] : ( tree @ A @ black @ zero ) ).
% 0.30/0.45
% 0.30/0.45 thf(redTree_type,type,
% 0.30/0.45 rt:
% 0.30/0.45 !>[A: $tType,N: nat] : ( ( tree @ A @ black @ N ) > A > ( tree @ A @ black @ N ) > ( tree @ A @ red @ N ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(blackTree_type,type,
% 0.30/0.45 bt:
% 0.30/0.45 !>[A: $tType,N: nat,C1: color,C2: color] : ( ( tree @ A @ C1 @ N ) > A > ( tree @ A @ C2 @ N ) > ( tree @ A @ black @ ( suc @ N ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(rbt_rev,type,
% 0.30/0.45 rev:
% 0.30/0.45 !>[A: $tType,C: color,N: nat] : ( ( tree @ A @ C @ N ) > ( tree @ A @ C @ N ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(rev_leaf,axiom,
% 0.30/0.45 ! [A: $tType] :
% 0.30/0.45 ( ( rev @ A @ black @ zero @ ( leaf @ A ) )
% 0.30/0.45 = ( leaf @ A ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(rev_bt,axiom,
% 0.30/0.45 ! [A: $tType,X: A,N: nat,C1: color,C2: color,T1: tree @ A @ C1 @ N,T2: tree @ A @ C2 @ N] :
% 0.30/0.45 ( ( rev @ A @ black @ N @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) )
% 0.30/0.45 = ( bt @ A @ N @ C1 @ C2 @ ( rev @ A @ C2 @ N @ T2 ) @ X @ ( rev @ A @ C1 @ N @ T1 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(rev_rt,axiom,
% 0.30/0.45 ! [A: $tType,X: A,N: nat,T1: tree @ A @ black @ N,T2: tree @ A @ black @ N] :
% 0.30/0.45 ( ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) )
% 0.30/0.45 = ( rt @ A @ N @ ( rev @ A @ black @ N @ T2 ) @ X @ ( rev @ A @ black @ N @ T2 ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(base,axiom,
% 0.30/0.45 ! [A: $tType,C: color,T: tree @ A @ C @ zero] :
% 0.30/0.45 ( ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) )
% 0.30/0.45 = T ) ).
% 0.30/0.45
% 0.30/0.45 thf(rt_step,axiom,
% 0.30/0.45 ! [A: $tType,X: A,N: nat,T1: tree @ A @ black @ N,T2: tree @ A @ black @ N] :
% 0.30/0.45 ( ( ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T1 ) )
% 0.30/0.45 = T1 )
% 0.30/0.45 => ( ( ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T2 ) )
% 0.30/0.45 = T2 )
% 0.30/0.45 => ( ( rev @ A @ red @ N @ ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) ) )
% 0.30/0.45 = ( rt @ A @ N @ T1 @ X @ T2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(bt_step,axiom,
% 0.30/0.45 ! [A: $tType,X: A,N: nat,C1: color,C2: color,T1: tree @ A @ C1 @ N,T2: tree @ A @ C2 @ N] :
% 0.30/0.45 ( ( ( rev @ A @ C1 @ N @ ( rev @ A @ C1 @ N @ T1 ) )
% 0.30/0.45 = T1 )
% 0.30/0.45 => ( ( ( rev @ A @ C2 @ N @ ( rev @ A @ C2 @ N @ T2 ) )
% 0.30/0.45 = T2 )
% 0.30/0.45 => ( ( rev @ A @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) )
% 0.30/0.45 = ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(inst,axiom,
% 0.30/0.45 ! [A: $tType] :
% 0.30/0.45 ( ! [C: color,T: tree @ A @ C @ zero] :
% 0.30/0.45 ( ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) )
% 0.30/0.45 = T )
% 0.30/0.45 => ( ( ! [X: A,N: nat,C1: color,C2: color,T1: tree @ A @ C1 @ N,T2: tree @ A @ C2 @ N] :
% 0.30/0.45 ( ( ( rev @ A @ C1 @ N @ ( rev @ A @ C1 @ N @ T1 ) )
% 0.30/0.45 = T1 )
% 0.30/0.45 => ( ( ( rev @ A @ C2 @ N @ ( rev @ A @ C2 @ N @ T2 ) )
% 0.30/0.45 = T2 )
% 0.30/0.45 => ( ( rev @ A @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) )
% 0.30/0.45 = ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) )
% 0.30/0.45 => ! [X: A,N: nat,T1: tree @ A @ black @ N,T2: tree @ A @ black @ N] :
% 0.30/0.45 ( ( ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T1 ) )
% 0.30/0.45 = T1 )
% 0.30/0.45 => ( ( ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T2 ) )
% 0.30/0.45 = T2 )
% 0.30/0.45 => ( ( rev @ A @ red @ N @ ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) ) )
% 0.30/0.45 = ( rt @ A @ N @ T1 @ X @ T2 ) ) ) ) )
% 0.30/0.45 => ! [C: color,N: nat,T: tree @ A @ C @ N] :
% 0.30/0.45 ( ( rev @ A @ C @ N @ ( rev @ A @ C @ N @ T ) )
% 0.30/0.45 = T ) ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(rev_rev,conjecture,
% 0.30/0.45 ! [A: $tType,N: nat,C: color,T: tree @ A @ C @ N] :
% 0.30/0.45 ( ( rev @ A @ C @ N @ ( rev @ A @ C @ N @ T ) )
% 0.30/0.45 = T ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.93/1.36 ---- Embedded in THF ---
% 1.93/1.36 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.93/1.36 %%% Generated on Tue Feb 24 06:18:04 EST 2026
% 1.93/1.36 %%% using '$$dhol' embedding, version 1.3.0.
% 1.93/1.36 %%% Logic specification used:
% 1.93/1.36 %%% thf(spec, logic, $$dhol).
% 1.93/1.36
% 1.93/1.36 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2DTF30771.p
% 1.93/1.36 thf(is_per_type, type, isPer: (!> [A:$tType]: (((A > (A > $o)) > $o)))).
% 1.93/1.36 thf(is_per, definition, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) <=> ((! [X:A,Y:A]: ((((AStar @ X) @ Y) => ((AStar @ Y) @ X)))) & (! [X:A,Y:A,Z:A]: ((((AStar @ X) @ Y) => (((AStar @ Y) @ Z) => ((AStar @ X) @ Z)))))))))).
% 1.93/1.36 thf(color_type, type, color: $tType).
% 1.93/1.36 thf(colorStar, type, 'colorStar': (color > (color > $o))).
% 1.93/1.36 thf(colorStar_is_eq, axiom, (! [X:color,Y:color]: (((('colorStar' @ X) @ Y) <=> (X = Y))))).
% 1.93/1.36 thf(black_type, type, black: color).
% 1.93/1.36 thf(red_type, type, red: color).
% 1.93/1.36 thf(nat_type, type, nat: $tType).
% 1.93/1.36 thf(natStar, type, 'natStar': (nat > (nat > $o))).
% 1.93/1.36 thf(natStar_is_eq, axiom, (! [X:nat,Y:nat]: (((('natStar' @ X) @ Y) <=> (X = Y))))).
% 1.93/1.36 thf(zero_type, type, zero: nat).
% 1.93/1.36 thf(suc_type, type, suc: (nat > nat)).
% 1.93/1.36 thf(tree_type, type, tree: ($tType > $tType)).
% 1.93/1.36 thf(treeStar, type, 'treeStar': (!> [A:$tType]: (((A > (A > $o)) > (color > (nat > ((tree @ A) > ((tree @ A) > $o)))))))).
% 1.93/1.36 thf('\'treeStar\'_is_per', axiom, (! [B:$tType,BStar:(B > (B > $o))]: ((((isPer @ B) @ BStar) => (! [C:color]: ((! [C0:nat]: (((isPer @ (tree @ B)) @ ((((treeStar @ B) @ BStar) @ C) @ C0)))))))))).
% 1.93/1.36 thf(leaf_type, type, leaf: (!> [A:$tType]: ((tree @ A)))).
% 1.93/1.36 thf(leaf_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((((((treeStar @ A) @ AStar) @ black) @ zero) @ (leaf @ A)) @ (leaf @ A)))))).
% 1.93/1.36 thf(redTree_type, type, rt: (!> [A:$tType]: ((nat > ((tree @ A) > (A > ((tree @ A) > (tree @ A)))))))).
% 1.93/1.36 thf(rt_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:(tree @ A),D_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ D) @ D_prime) => (! [D0:A,D0_prime:A]: (((D0 = D0_prime) => (! [D1:(tree @ A),D1_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ D1) @ D1_prime) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ (((((rt @ A) @ N) @ D) @ D0) @ D1)) @ (((((rt @ A) @ N) @ D_prime) @ D0_prime) @ D1_prime))))))))))))))))).
% 1.93/1.36 thf(blackTree_type, type, bt: (!> [A:$tType]: ((nat > (color > (color > ((tree @ A) > (A > ((tree @ A) > (tree @ A)))))))))).
% 1.93/1.36 thf(bt_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [D:(tree @ A),D_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ D) @ D_prime) => (! [D0:A,D0_prime:A]: (((D0 = D0_prime) => (! [D1:(tree @ A),D1_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C2) @ N) @ D1) @ D1_prime) => ((((((treeStar @ A) @ AStar) @ black) @ (suc @ N)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ D) @ D0) @ D1)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ D_prime) @ D0_prime) @ D1_prime))))))))))))))))))))).
% 1.93/1.36 thf(rbt_rev, type, rev: (!> [A:$tType]: ((color > (nat > ((tree @ A) > (tree @ A))))))).
% 1.93/1.36 thf(rev_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [C:color]: ((! [N:nat]: ((! [D:(tree @ A),D_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ N) @ D) @ D_prime) => ((((((treeStar @ A) @ AStar) @ C) @ N) @ ((((rev @ A) @ C) @ N) @ D)) @ ((((rev @ A) @ C) @ N) @ D_prime))))))))))))).
% 1.93/1.36 thf(rev_leaf, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((((((treeStar @ A) @ AStar) @ black) @ zero) @ ((((rev @ A) @ black) @ zero) @ (leaf @ A))) @ (leaf @ A)))))).
% 1.93/1.36 thf(rev_bt, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ T2) @ T2) => ((((((treeStar @ A) @ AStar) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2))) @ (((((((bt @ A) @ N) @ C1) @ C2) @ ((((rev @ A) @ C2) @ N) @ T2)) @ X) @ ((((rev @ A) @ C1) @ N) @ T1))))))))))))))))))).
% 1.93/1.36 thf(rev_rt, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ T2) @ T2) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ (((((rt @ A) @ N) @ T1) @ X) @ T2))) @ (((((rt @ A) @ N) @ ((((rev @ A) @ black) @ N) @ T2)) @ X) @ ((((rev @ A) @ black) @ N) @ T2))))))))))))))).
% 1.93/1.36 thf(base, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [C:color]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ zero) @ T) @ T) => ((((((treeStar @ A) @ AStar) @ C) @ zero) @ ((((rev @ A) @ C) @ zero) @ ((((rev @ A) @ C) @ zero) @ T))) @ T)))))))))).
% 1.93/1.36 thf(rt_step, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ T2) @ T2) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ T1))) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ T2))) @ T2) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ (((((rt @ A) @ N) @ T1) @ X) @ T2)))) @ (((((rt @ A) @ N) @ T1) @ X) @ T2)))))))))))))))).
% 1.93/1.36 thf(bt_step, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ T2) @ T2) => (((((((treeStar @ A) @ AStar) @ C1) @ N) @ ((((rev @ A) @ C1) @ N) @ ((((rev @ A) @ C1) @ N) @ T1))) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ ((((rev @ A) @ C2) @ N) @ ((((rev @ A) @ C2) @ N) @ T2))) @ T2) => ((((((treeStar @ A) @ AStar) @ black) @ (suc @ N)) @ ((((rev @ A) @ black) @ (suc @ N)) @ ((((rev @ A) @ black) @ (suc @ N)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2)))) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2)))))))))))))))))))).
% 1.93/1.36 thf(inst, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((! [C:color]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ zero) @ T) @ T) => ((((((treeStar @ A) @ AStar) @ C) @ zero) @ ((((rev @ A) @ C) @ zero) @ ((((rev @ A) @ C) @ zero) @ T))) @ T)))))) => (((! [X:A]: ((! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ T2) @ T2) => (((((((treeStar @ A) @ AStar) @ C1) @ N) @ ((((rev @ A) @ C1) @ N) @ ((((rev @ A) @ C1) @ N) @ T1))) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ ((((rev @ A) @ C2) @ N) @ ((((rev @ A) @ C2) @ N) @ T2))) @ T2) => ((((((treeStar @ A) @ AStar) @ black) @ (suc @ N)) @ ((((rev @ A) @ black) @ (suc @ N)) @ ((((rev @ A) @ black) @ (suc @ N)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2)))) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2)))))))))))))))) => (! [X:A]: ((! [N:nat]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ T2) @ T2) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ T1))) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ ((((rev @ A) @ black) @ N) @ T2))) @ T2) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ (((((rt @ A) @ N) @ T1) @ X) @ T2)))) @ (((((rt @ A) @ N) @ T1) @ X) @ T2))))))))))))) => (! [C:color]: ((! [N:nat]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ N) @ T) @ T) => ((((((treeStar @ A) @ AStar) @ C) @ N) @ ((((rev @ A) @ C) @ N) @ ((((rev @ A) @ C) @ N) @ T))) @ T)))))))))))))).
% 1.93/1.36 thf(rev_rev, conjecture, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [C:color]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ N) @ T) @ T) => ((((((treeStar @ A) @ AStar) @ C) @ N) @ ((((rev @ A) @ C) @ N) @ ((((rev @ A) @ C) @ N) @ T))) @ T)))))))))))).
% 1.93/1.36 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2DTF30771.p
% 1.93/1.36 ------------------------
% 1.93/1.38 ---- Cleaned THF ---
% 1.93/1.38 thf(is_per_type,type,
% 1.93/1.38 isPer:
% 1.93/1.38 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.93/1.38
% 1.93/1.38 thf(is_per,definition,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 <=> ( ! [X: A,Y: A] :
% 1.93/1.38 ( ( AStar @ X @ Y )
% 1.93/1.38 => ( AStar @ Y @ X ) )
% 1.93/1.38 & ! [X: A,Y: A,Z: A] :
% 1.93/1.38 ( ( AStar @ X @ Y )
% 1.93/1.38 => ( ( AStar @ Y @ Z )
% 1.93/1.38 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(color_type,type,
% 1.93/1.38 color: $tType ).
% 1.93/1.38
% 1.93/1.38 thf(colorStar,type,
% 1.93/1.38 colorStar: color > color > $o ).
% 1.93/1.38
% 1.93/1.38 thf(colorStar_is_eq,axiom,
% 1.93/1.38 ! [X: color,Y: color] :
% 1.93/1.38 ( ( colorStar @ X @ Y )
% 1.93/1.38 <=> ( X = Y ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(black_type,type,
% 1.93/1.38 black: color ).
% 1.93/1.38
% 1.93/1.38 thf(red_type,type,
% 1.93/1.38 red: color ).
% 1.93/1.38
% 1.93/1.38 thf(nat_type,type,
% 1.93/1.38 nat: $tType ).
% 1.93/1.38
% 1.93/1.38 thf(natStar,type,
% 1.93/1.38 natStar: nat > nat > $o ).
% 1.93/1.38
% 1.93/1.38 thf(natStar_is_eq,axiom,
% 1.93/1.38 ! [X: nat,Y: nat] :
% 1.93/1.38 ( ( natStar @ X @ Y )
% 1.93/1.38 <=> ( X = Y ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(zero_type,type,
% 1.93/1.38 zero: nat ).
% 1.93/1.38
% 1.93/1.38 thf(suc_type,type,
% 1.93/1.38 suc: nat > nat ).
% 1.93/1.38
% 1.93/1.38 thf(tree_type,type,
% 1.93/1.38 tree: $tType > $tType ).
% 1.93/1.38
% 1.93/1.38 thf(treeStar,type,
% 1.93/1.38 treeStar:
% 1.93/1.38 !>[A: $tType] : ( ( A > A > $o ) > color > nat > ( tree @ A ) > ( tree @ A ) > $o ) ).
% 1.93/1.38
% 1.93/1.38 thf('\'treeStar\'_is_per',axiom,
% 1.93/1.38 ! [B: $tType,BStar: B > B > $o] :
% 1.93/1.38 ( ( isPer @ B @ BStar )
% 1.93/1.38 => ! [C: color,C0: nat] : ( isPer @ ( tree @ B ) @ ( treeStar @ B @ BStar @ C @ C0 ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(leaf_type,type,
% 1.93/1.38 leaf:
% 1.93/1.38 !>[A: $tType] : ( tree @ A ) ).
% 1.93/1.38
% 1.93/1.38 thf(leaf_tp_ax,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ zero @ ( leaf @ A ) @ ( leaf @ A ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(redTree_type,type,
% 1.93/1.38 rt:
% 1.93/1.38 !>[A: $tType] : ( nat > ( tree @ A ) > A > ( tree @ A ) > ( tree @ A ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rt_tp_ax,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [N: nat,D: tree @ A,D_prime: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ black @ N @ D @ D_prime )
% 1.93/1.38 => ! [D0: A,D0_prime: A] :
% 1.93/1.38 ( ( D0 = D0_prime )
% 1.93/1.38 => ! [D1: tree @ A,D1_prime: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ black @ N @ D1 @ D1_prime )
% 1.93/1.38 => ( treeStar @ A @ AStar @ red @ N @ ( rt @ A @ N @ D @ D0 @ D1 ) @ ( rt @ A @ N @ D_prime @ D0_prime @ D1_prime ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(blackTree_type,type,
% 1.93/1.38 bt:
% 1.93/1.38 !>[A: $tType] : ( nat > color > color > ( tree @ A ) > A > ( tree @ A ) > ( tree @ A ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(bt_tp_ax,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [N: nat,C1: color,C2: color,D: tree @ A,D_prime: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C1 @ N @ D @ D_prime )
% 1.93/1.38 => ! [D0: A,D0_prime: A] :
% 1.93/1.38 ( ( D0 = D0_prime )
% 1.93/1.38 => ! [D1: tree @ A,D1_prime: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C2 @ N @ D1 @ D1_prime )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ D @ D0 @ D1 ) @ ( bt @ A @ N @ C1 @ C2 @ D_prime @ D0_prime @ D1_prime ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rbt_rev,type,
% 1.93/1.38 rev:
% 1.93/1.38 !>[A: $tType] : ( color > nat > ( tree @ A ) > ( tree @ A ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rev_tp_ax,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [C: color,N: nat,D: tree @ A,D_prime: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C @ N @ D @ D_prime )
% 1.93/1.38 => ( treeStar @ A @ AStar @ C @ N @ ( rev @ A @ C @ N @ D ) @ ( rev @ A @ C @ N @ D_prime ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rev_leaf,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ zero @ ( rev @ A @ black @ zero @ ( leaf @ A ) ) @ ( leaf @ A ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rev_bt,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [X: A,N: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C1 @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C2 @ N @ T2 @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ N @ ( rev @ A @ black @ N @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) @ ( bt @ A @ N @ C1 @ C2 @ ( rev @ A @ C2 @ N @ T2 ) @ X @ ( rev @ A @ C1 @ N @ T1 ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rev_rt,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [X: A,N: nat,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ black @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ T2 @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ red @ N @ ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) ) @ ( rt @ A @ N @ ( rev @ A @ black @ N @ T2 ) @ X @ ( rev @ A @ black @ N @ T2 ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(base,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [C: color,T: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C @ zero @ T @ T )
% 1.93/1.38 => ( treeStar @ A @ AStar @ C @ zero @ ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) ) @ T ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rt_step,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [X: A,N: nat,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ black @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ T2 @ T2 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T1 ) ) @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T2 ) ) @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ red @ N @ ( rev @ A @ red @ N @ ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) ) ) @ ( rt @ A @ N @ T1 @ X @ T2 ) ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(bt_step,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [X: A,N: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C1 @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C2 @ N @ T2 @ T2 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C1 @ N @ ( rev @ A @ C1 @ N @ ( rev @ A @ C1 @ N @ T1 ) ) @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C2 @ N @ ( rev @ A @ C2 @ N @ ( rev @ A @ C2 @ N @ T2 ) ) @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(inst,axiom,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ( ! [C: color,T: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C @ zero @ T @ T )
% 1.93/1.38 => ( treeStar @ A @ AStar @ C @ zero @ ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) ) @ T ) )
% 1.93/1.38 => ( ( ! [X: A,N: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C1 @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C2 @ N @ T2 @ T2 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C1 @ N @ ( rev @ A @ C1 @ N @ ( rev @ A @ C1 @ N @ T1 ) ) @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ C2 @ N @ ( rev @ A @ C2 @ N @ ( rev @ A @ C2 @ N @ T2 ) ) @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) ) ) ) ) )
% 1.93/1.38 => ! [X: A,N: nat,T1: tree @ A,T2: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ black @ N @ T1 @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ T2 @ T2 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T1 ) ) @ T1 )
% 1.93/1.38 => ( ( treeStar @ A @ AStar @ black @ N @ ( rev @ A @ black @ N @ ( rev @ A @ black @ N @ T2 ) ) @ T2 )
% 1.93/1.38 => ( treeStar @ A @ AStar @ red @ N @ ( rev @ A @ red @ N @ ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) ) ) @ ( rt @ A @ N @ T1 @ X @ T2 ) ) ) ) ) ) )
% 1.93/1.38 => ! [C: color,N: nat,T: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C @ N @ T @ T )
% 1.93/1.38 => ( treeStar @ A @ AStar @ C @ N @ ( rev @ A @ C @ N @ ( rev @ A @ C @ N @ T ) ) @ T ) ) ) ) ) ).
% 1.93/1.38
% 1.93/1.38 thf(rev_rev,conjecture,
% 1.93/1.38 ! [A: $tType,AStar: A > A > $o] :
% 1.93/1.38 ( ( isPer @ A @ AStar )
% 1.93/1.38 => ! [N: nat,C: color,T: tree @ A] :
% 1.93/1.38 ( ( treeStar @ A @ AStar @ C @ N @ T @ T )
% 1.93/1.38 => ( treeStar @ A @ AStar @ C @ N @ ( rev @ A @ C @ N @ ( rev @ A @ C @ N @ T ) ) @ T ) ) ) ).
% 1.93/1.38 ------------------------
% 1.93/1.39 % (31056)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/18Mi)
% 1.93/1.39 % (31051)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_30771 for (2999ds/4Mi)
% 1.93/1.39 % (31050)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/183Mi)
% 2.08/1.40 % (31051)Instruction limit reached!
% 2.08/1.40 % (31051)------------------------------
% 2.08/1.40 % (31051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.40 % (31051)Termination reason: Unknown
% 2.08/1.40 % (31051)Termination phase: shuffling
% 2.08/1.40
% 2.08/1.40 % (31051)Memory used [KB]: 1023
% 2.08/1.40 % (31051)Time elapsed: 0.003 s
% 2.08/1.40 % (31051)Instructions burned: 7 (million)
% 2.08/1.40 % (31051)------------------------------
% 2.08/1.40 % (31051)------------------------------
% 2.08/1.40 % (31056)Instruction limit reached!
% 2.08/1.40 % (31056)------------------------------
% 2.08/1.40 % (31056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.40 % (31056)Termination reason: Unknown
% 2.08/1.40 % (31056)Termination phase: Property scanning
% 2.08/1.40
% 2.08/1.40 % (31056)Memory used [KB]: 1151
% 2.08/1.40 % (31056)Time elapsed: 0.007 s
% 2.08/1.40 % (31056)Instructions burned: 20 (million)
% 2.08/1.40 % (31056)------------------------------
% 2.08/1.40 % (31056)------------------------------
% 2.08/1.40 % (31052)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_30771 for (2999ds/27Mi)
% 2.08/1.40 % (31053)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/2Mi)
% 2.08/1.40 % (31054)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_30771 for (2999ds/2Mi)
% 2.08/1.40 % (31055)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_30771 for (2999ds/275Mi)
% 2.08/1.40 % (31053)Instruction limit reached!
% 2.08/1.40 % (31053)------------------------------
% 2.08/1.40 % (31053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.40 % (31053)Termination reason: Unknown
% 2.08/1.40 % (31053)Termination phase: shuffling
% 2.08/1.40
% 2.08/1.40 % (31053)Memory used [KB]: 1023
% 2.08/1.40 % (31053)Time elapsed: 0.003 s
% 2.08/1.40 % (31053)Instructions burned: 2 (million)
% 2.08/1.40 % (31053)------------------------------
% 2.08/1.40 % (31053)------------------------------
% 2.08/1.40 % Exception at run slice level
% 2.08/1.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.41 % (31057)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/3Mi)
% 2.08/1.41 % (31057)Instruction limit reached!
% 2.08/1.41 % (31057)------------------------------
% 2.08/1.41 % (31057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.41 % (31057)Termination reason: Unknown
% 2.08/1.41 % (31057)Termination phase: shuffling
% 2.08/1.41
% 2.08/1.41 % (31057)Memory used [KB]: 1023
% 2.08/1.41 % (31057)Time elapsed: 0.003 s
% 2.08/1.41 % (31057)Instructions burned: 4 (million)
% 2.08/1.41 % (31057)------------------------------
% 2.08/1.41 % (31057)------------------------------
% 2.08/1.41 % (31058)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_30771 for (2999ds/37Mi)
% 2.08/1.41 % Exception at run slice level
% 2.08/1.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.42 % (31052)Instruction limit reached!
% 2.08/1.42 % (31052)------------------------------
% 2.08/1.42 % (31052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.42 % (31052)Termination reason: Unknown
% 2.08/1.42 % (31052)Termination phase: Property scanning
% 2.08/1.42
% 2.08/1.42 % (31052)Memory used [KB]: 1151
% 2.08/1.42 % (31052)Time elapsed: 0.016 s
% 2.08/1.42 % (31052)Instructions burned: 27 (million)
% 2.08/1.42 % (31052)------------------------------
% 2.08/1.42 % (31052)------------------------------
% 2.08/1.42 % (31061)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_30771 for (2999ds/1041Mi)
% 2.08/1.42 % Exception at run slice level
% 2.08/1.42 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.42 % (31062)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/7Mi)
% 2.08/1.42 % (31059)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_30771 for (2999ds/15Mi)
% 2.08/1.42 % (31060)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_30771 for (2999ds/3Mi)
% 2.08/1.42 % (31062)Instruction limit reached!
% 2.08/1.42 % (31062)------------------------------
% 2.08/1.42 % (31062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.42 % (31062)Termination reason: Unknown
% 2.08/1.42 % (31062)Termination phase: shuffling
% 2.08/1.42
% 2.08/1.42 % (31062)Memory used [KB]: 1023
% 2.08/1.42 % (31062)Time elapsed: 0.003 s
% 2.08/1.42 % (31062)Instructions burned: 7 (million)
% 2.08/1.42 % (31062)------------------------------
% 2.08/1.42 % (31062)------------------------------
% 2.08/1.42 % (31060)Instruction limit reached!
% 2.08/1.42 % (31060)------------------------------
% 2.08/1.42 % (31060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.42 % (31060)Termination reason: Unknown
% 2.08/1.42 % (31060)Termination phase: shuffling
% 2.08/1.42
% 2.08/1.42 % (31060)Memory used [KB]: 1023
% 2.08/1.42 % (31060)Time elapsed: 0.004 s
% 2.08/1.42 % (31060)Instructions burned: 4 (million)
% 2.08/1.42 % (31060)------------------------------
% 2.08/1.42 % (31060)------------------------------
% 2.08/1.43 % (31059)Instruction limit reached!
% 2.08/1.43 % (31059)------------------------------
% 2.08/1.43 % (31059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.43 % (31059)Termination reason: Unknown
% 2.08/1.43 % (31059)Termination phase: Preprocessing 3
% 2.08/1.43
% 2.08/1.43 % (31059)Memory used [KB]: 1151
% 2.08/1.43 % (31059)Time elapsed: 0.011 s
% 2.08/1.43 % (31059)Instructions burned: 16 (million)
% 2.08/1.43 % (31059)------------------------------
% 2.08/1.43 % (31059)------------------------------
% 2.08/1.43 % (31064)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_30771 for (2999ds/3Mi)
% 2.08/1.43 % (31064)Instruction limit reached!
% 2.08/1.43 % (31064)------------------------------
% 2.08/1.43 % (31064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.43 % (31064)Termination reason: Unknown
% 2.08/1.43 % (31064)Termination phase: shuffling
% 2.08/1.43
% 2.08/1.43 % (31064)Memory used [KB]: 1023
% 2.08/1.43 % (31064)Time elapsed: 0.003 s
% 2.08/1.43 % (31064)Instructions burned: 4 (million)
% 2.08/1.43 % (31064)------------------------------
% 2.08/1.43 % (31064)------------------------------
% 2.08/1.43 % (31063)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/16Mi)
% 2.08/1.44 % (31065)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_30771 for (2999ds/3Mi)
% 2.08/1.44 % (31066)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/7Mi)
% 2.08/1.44 % (31068)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/4Mi)
% 2.08/1.44 % (31065)Instruction limit reached!
% 2.08/1.44 % (31065)------------------------------
% 2.08/1.44 % (31065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.44 % (31065)Termination reason: Unknown
% 2.08/1.44 % (31065)Termination phase: shuffling
% 2.08/1.44
% 2.08/1.44 % (31065)Memory used [KB]: 1023
% 2.08/1.44 % (31065)Time elapsed: 0.004 s
% 2.08/1.44 % (31065)Instructions burned: 4 (million)
% 2.08/1.44 % (31065)------------------------------
% 2.08/1.44 % (31065)------------------------------
% 2.08/1.44 % (31068)Instruction limit reached!
% 2.08/1.44 % (31068)------------------------------
% 2.08/1.44 % (31068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.44 % (31068)Termination reason: Unknown
% 2.08/1.44 % (31068)Termination phase: shuffling
% 2.08/1.44
% 2.08/1.44 % (31068)Memory used [KB]: 1023
% 2.08/1.44 % (31068)Time elapsed: 0.003 s
% 2.08/1.44 % (31068)Instructions burned: 4 (million)
% 2.08/1.44 % (31068)------------------------------
% 2.08/1.44 % (31068)------------------------------
% 2.08/1.44 % (31063)Instruction limit reached!
% 2.08/1.44 % (31063)------------------------------
% 2.08/1.44 % (31063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.44 % (31063)Termination reason: Unknown
% 2.08/1.44 % (31063)Termination phase: Preprocessing 3
% 2.08/1.44
% 2.08/1.44 % (31063)Memory used [KB]: 1151
% 2.08/1.44 % (31063)Time elapsed: 0.011 s
% 2.08/1.44 % (31063)Instructions burned: 16 (million)
% 2.08/1.44 % (31063)------------------------------
% 2.08/1.44 % (31063)------------------------------
% 2.08/1.44 % (31066)Instruction limit reached!
% 2.08/1.44 % (31066)------------------------------
% 2.08/1.44 % (31066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.44 % (31066)Termination reason: Unknown
% 2.08/1.44 % (31066)Termination phase: shuffling
% 2.08/1.44
% 2.08/1.44 % (31066)Memory used [KB]: 1023
% 2.08/1.44 % (31066)Time elapsed: 0.006 s
% 2.08/1.44 % (31066)Instructions burned: 7 (million)
% 2.08/1.44 % (31066)------------------------------
% 2.08/1.44 % (31066)------------------------------
% 2.08/1.45 % (31067)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/3Mi)
% 2.08/1.45 % (31067)Instruction limit reached!
% 2.08/1.45 % (31067)------------------------------
% 2.08/1.45 % (31067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.45 % (31067)Termination reason: Unknown
% 2.08/1.45 % (31067)Termination phase: shuffling
% 2.08/1.45
% 2.08/1.45 % (31067)Memory used [KB]: 1023
% 2.08/1.45 % (31067)Time elapsed: 0.003 s
% 2.08/1.45 % (31067)Instructions burned: 3 (million)
% 2.08/1.45 % (31067)------------------------------
% 2.08/1.45 % (31067)------------------------------
% 2.08/1.45 % (31070)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/710Mi)
% 2.08/1.45 % (31050)Instruction limit reached!
% 2.08/1.45 % (31050)------------------------------
% 2.08/1.45 % (31050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.45 % (31050)Termination reason: Unknown
% 2.08/1.45 % (31050)Termination phase: Saturation
% 2.08/1.45
% 2.08/1.45 % (31050)Memory used [KB]: 7164
% 2.08/1.45 % (31050)Time elapsed: 0.059 s
% 2.08/1.45 % (31050)Instructions burned: 184 (million)
% 2.08/1.45 % (31050)------------------------------
% 2.08/1.45 % (31050)------------------------------
% 2.08/1.46 % (31069)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/18Mi)
% 2.08/1.46 % (31071)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/6Mi)
% 2.08/1.46 % (31072)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_30771 for (2999ds/902Mi)
% 2.08/1.46 % (31071)Instruction limit reached!
% 2.08/1.46 % (31071)------------------------------
% 2.08/1.46 % (31071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.46 % (31071)Termination reason: Unknown
% 2.08/1.46 % (31071)Termination phase: shuffling
% 2.08/1.46
% 2.08/1.46 % (31071)Memory used [KB]: 1023
% 2.08/1.46 % (31071)Time elapsed: 0.005 s
% 2.08/1.46 % (31071)Instructions burned: 6 (million)
% 2.08/1.46 % (31071)------------------------------
% 2.08/1.46 % (31071)------------------------------
% 2.08/1.46 % (31074)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/5Mi)
% 2.08/1.46 % Exception at run slice level
% 2.08/1.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.47 % (31073)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_30771 for (2999ds/21Mi)
% 2.08/1.47 % (31069)Instruction limit reached!
% 2.08/1.47 % (31069)------------------------------
% 2.08/1.47 % (31069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.47 % (31069)Termination reason: Unknown
% 2.08/1.47 % (31069)Termination phase: Property scanning
% 2.08/1.47
% 2.08/1.47 % (31069)Memory used [KB]: 1151
% 2.08/1.47 % (31069)Time elapsed: 0.011 s
% 2.08/1.47 % (31069)Instructions burned: 18 (million)
% 2.08/1.47 % (31069)------------------------------
% 2.08/1.47 % (31069)------------------------------
% 2.08/1.47 % (31076)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/377Mi)
% 2.08/1.48 % (31073)Instruction limit reached!
% 2.08/1.48 % (31073)------------------------------
% 2.08/1.48 % (31073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.48 % (31073)Termination reason: Unknown
% 2.08/1.48 % (31073)Termination phase: Inequality splitting
% 2.08/1.48
% 2.08/1.48 % (31073)Memory used [KB]: 1151
% 2.08/1.48 % (31073)Time elapsed: 0.012 s
% 2.08/1.48 % (31073)Instructions burned: 23 (million)
% 2.08/1.48 % (31073)------------------------------
% 2.08/1.48 % (31073)------------------------------
% 2.08/1.48 % (31075)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_30771 for (2999ds/6Mi)
% 2.08/1.48 % (31077)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_30771 for (2999ds/779Mi)
% 2.08/1.48 % Exception at run slice level
% 2.08/1.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.48 % Exception at run slice level
% 2.08/1.48 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.49 % (31078)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_30771 for (2999ds/19Mi)
% 2.08/1.49 % Exception at run slice level
% 2.08/1.49 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.49 % (31079)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/879Mi)
% 2.08/1.49 % (31080)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/17Mi)
% 2.08/1.50 % (31080)Instruction limit reached!
% 2.08/1.50 % (31080)------------------------------
% 2.08/1.50 % (31080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.50 % (31080)Termination reason: Unknown
% 2.08/1.50 % (31080)Termination phase: Property scanning
% 2.08/1.50
% 2.08/1.50 % (31080)Memory used [KB]: 1151
% 2.08/1.50 % (31080)Time elapsed: 0.007 s
% 2.08/1.50 % (31080)Instructions burned: 17 (million)
% 2.08/1.50 % (31080)------------------------------
% 2.08/1.50 % (31080)------------------------------
% 2.08/1.50 % (31081)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/3Mi)
% 2.08/1.50 % (31081)Instruction limit reached!
% 2.08/1.50 % (31081)------------------------------
% 2.08/1.50 % (31081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.50 % (31081)Termination reason: Unknown
% 2.08/1.50 % (31081)Termination phase: shuffling
% 2.08/1.50
% 2.08/1.50 % (31081)Memory used [KB]: 1023
% 2.08/1.50 % (31081)Time elapsed: 0.003 s
% 2.08/1.50 % (31081)Instructions burned: 4 (million)
% 2.08/1.50 % (31081)------------------------------
% 2.08/1.50 % (31081)------------------------------
% 2.08/1.51 % (31082)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_30771 for (2999ds/30Mi)
% 2.08/1.51 % (31083)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_30771 for (2998ds/127Mi)
% 2.08/1.52 % (31082)Instruction limit reached!
% 2.08/1.52 % (31082)------------------------------
% 2.08/1.52 % (31082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.52 % (31082)Termination reason: Unknown
% 2.08/1.52 % (31082)Termination phase: Saturation
% 2.08/1.52
% 2.08/1.52 % (31082)Memory used [KB]: 5756
% 2.08/1.52 % (31082)Time elapsed: 0.011 s
% 2.08/1.52 % (31082)Instructions burned: 30 (million)
% 2.08/1.52 % (31082)------------------------------
% 2.08/1.52 % (31082)------------------------------
% 2.08/1.53 % (31084)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_30771 for (2998ds/100Mi)
% 2.08/1.53 % (31055)Instruction limit reached!
% 2.08/1.53 % (31055)------------------------------
% 2.08/1.53 % (31055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.53 % (31055)Termination reason: Unknown
% 2.08/1.53 % (31055)Termination phase: Saturation
% 2.08/1.53
% 2.08/1.53 % (31055)Memory used [KB]: 5884
% 2.08/1.53 % (31055)Time elapsed: 0.127 s
% 2.08/1.53 % (31055)Instructions burned: 277 (million)
% 2.08/1.53 % (31055)------------------------------
% 2.08/1.53 % (31055)------------------------------
% 2.08/1.54 % (31085)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_30771 for (2998ds/3Mi)
% 2.08/1.54 % Exception at run slice level
% 2.08/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.55 % (31086)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_30771 for (2998ds/20Mi)
% 2.08/1.55 % (31083)Instruction limit reached!
% 2.08/1.55 % (31083)------------------------------
% 2.08/1.55 % (31083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.55 % (31083)Termination reason: Unknown
% 2.08/1.55 % (31083)Termination phase: Saturation
% 2.08/1.55
% 2.08/1.55 % (31083)Memory used [KB]: 6268
% 2.08/1.55 % (31083)Time elapsed: 0.041 s
% 2.08/1.55 % (31083)Instructions burned: 127 (million)
% 2.08/1.55 % (31083)------------------------------
% 2.08/1.55 % (31083)------------------------------
% 2.08/1.55 % (31086)Instruction limit reached!
% 2.08/1.55 % (31086)------------------------------
% 2.08/1.55 % (31086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.55 % (31086)Termination reason: Unknown
% 2.08/1.55 % (31086)Termination phase: Saturation
% 2.08/1.55
% 2.08/1.55 % (31086)Memory used [KB]: 5628
% 2.08/1.55 % (31086)Time elapsed: 0.008 s
% 2.08/1.55 % (31086)Instructions burned: 20 (million)
% 2.08/1.55 % (31086)------------------------------
% 2.08/1.55 % (31086)------------------------------
% 2.08/1.56 % (31084)Instruction limit reached!
% 2.08/1.56 % (31084)------------------------------
% 2.08/1.56 % (31084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.56 % (31084)Termination reason: Unknown
% 2.08/1.56 % (31084)Termination phase: Saturation
% 2.08/1.56
% 2.08/1.56 % (31084)Memory used [KB]: 6012
% 2.08/1.56 % (31084)Time elapsed: 0.032 s
% 2.08/1.56 % (31084)Instructions burned: 100 (million)
% 2.08/1.56 % (31084)------------------------------
% 2.08/1.56 % (31084)------------------------------
% 2.08/1.56 % (31087)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_30771 for (2998ds/86Mi)
% 2.08/1.56 % (31088)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_30771 for (2998ds/107Mi)
% 2.08/1.57 % (31089)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_30771 for (2998ds/39Mi)
% 2.08/1.57 % Exception at run slice level
% 2.08/1.57 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.58 % (31090)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_30771 for (2998ds/448Mi)
% 2.08/1.58 % Exception at run slice level
% 2.08/1.58 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.59 % (31087)Instruction limit reached!
% 2.08/1.59 % (31087)------------------------------
% 2.08/1.59 % (31087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.59 % (31087)Termination reason: Unknown
% 2.08/1.59 % (31087)Termination phase: Saturation
% 2.08/1.59
% 2.08/1.59 % (31087)Memory used [KB]: 6396
% 2.08/1.59 % (31087)Time elapsed: 0.029 s
% 2.08/1.59 % (31087)Instructions burned: 87 (million)
% 2.08/1.59 % (31087)------------------------------
% 2.08/1.59 % (31087)------------------------------
% 2.08/1.59 % (31076)Instruction limit reached!
% 2.08/1.59 % (31076)------------------------------
% 2.08/1.59 % (31076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.59 % (31076)Termination reason: Unknown
% 2.08/1.59 % (31076)Termination phase: Saturation
% 2.08/1.59
% 2.08/1.59 % (31076)Memory used [KB]: 6396
% 2.08/1.59 % (31076)Time elapsed: 0.115 s
% 2.08/1.59 % (31076)Instructions burned: 377 (million)
% 2.08/1.59 % (31076)------------------------------
% 2.08/1.59 % (31076)------------------------------
% 2.08/1.59 % (31091)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_30771 for (2998ds/46Mi)
% 2.08/1.60 % (31092)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_30771 for (2998ds/98Mi)
% 2.08/1.60 % (31093)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_30771 for (2998ds/507Mi)
% 2.08/1.60 % Exception at run slice level
% 2.08/1.60 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.60 % (31088)Instruction limit reached!
% 2.08/1.60 % (31088)------------------------------
% 2.08/1.60 % (31088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.60 % (31088)Termination reason: Unknown
% 2.08/1.60 % (31088)Termination phase: Saturation
% 2.08/1.60
% 2.08/1.60 % (31088)Memory used [KB]: 6140
% 2.08/1.60 % (31088)Time elapsed: 0.058 s
% 2.08/1.60 % (31088)Instructions burned: 108 (million)
% 2.08/1.60 % (31088)------------------------------
% 2.08/1.60 % (31088)------------------------------
% 2.08/1.60 % (31091)Instruction limit reached!
% 2.08/1.60 % (31091)------------------------------
% 2.08/1.60 % (31091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.60 % (31091)Termination reason: Unknown
% 2.08/1.60 % (31091)Termination phase: Saturation
% 2.08/1.60
% 2.08/1.60 % (31091)Memory used [KB]: 5756
% 2.08/1.60 % (31091)Time elapsed: 0.016 s
% 2.08/1.60 % (31091)Instructions burned: 47 (million)
% 2.08/1.60 % (31091)------------------------------
% 2.08/1.60 % (31091)------------------------------
% 2.08/1.61 % (31094)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_30771 for (2998ds/149Mi)
% 2.08/1.61 % (31095)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_30771 for (2997ds/39Mi)
% 2.08/1.61 % (31096)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_30771 for (2997ds/6Mi)
% 2.08/1.61 % Exception at run slice level
% 2.08/1.61 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.62 % (31095)Instruction limit reached!
% 2.08/1.62 % (31095)------------------------------
% 2.08/1.62 % (31095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.62 % (31095)Termination reason: Unknown
% 2.08/1.62 % (31095)Termination phase: Saturation
% 2.08/1.62
% 2.08/1.62 % (31095)Memory used [KB]: 5756
% 2.08/1.62 % (31095)Time elapsed: 0.014 s
% 2.08/1.62 % (31095)Instructions burned: 39 (million)
% 2.08/1.62 % (31095)------------------------------
% 2.08/1.62 % (31095)------------------------------
% 2.08/1.62 % (31097)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_30771 for (2997ds/1087Mi)
% 2.08/1.63 % (31098)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_30771 for (2997ds/47Mi)
% 2.08/1.65 % (31098)Instruction limit reached!
% 2.08/1.65 % (31098)------------------------------
% 2.08/1.65 % (31098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.65 % (31098)Termination reason: Unknown
% 2.08/1.65 % (31098)Termination phase: Saturation
% 2.08/1.65
% 2.08/1.65 % (31098)Memory used [KB]: 5756
% 2.08/1.65 % (31098)Time elapsed: 0.017 s
% 2.08/1.65 % (31098)Instructions burned: 47 (million)
% 2.08/1.65 % (31098)------------------------------
% 2.08/1.65 % (31098)------------------------------
% 2.08/1.65 % (31094)Instruction limit reached!
% 2.08/1.65 % (31094)------------------------------
% 2.08/1.65 % (31094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.65 % (31094)Termination reason: Unknown
% 2.08/1.65 % (31094)Termination phase: Saturation
% 2.08/1.65
% 2.08/1.65 % (31094)Memory used [KB]: 6140
% 2.08/1.65 % (31094)Time elapsed: 0.074 s
% 2.08/1.65 % (31094)Instructions burned: 149 (million)
% 2.08/1.65 % (31094)------------------------------
% 2.08/1.65 % (31094)------------------------------
% 2.08/1.66 % (31099)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_30771 for (2997ds/44Mi)
% 2.08/1.66 % Exception at run slice level
% 2.08/1.66 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.67 % (31100)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_30771 for (2997ds/432Mi)
% 2.08/1.67 % Exception at run slice level
% 2.08/1.67 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.67 % (31070)Instruction limit reached!
% 2.08/1.67 % (31070)------------------------------
% 2.08/1.67 % (31070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.67 % (31070)Termination reason: Unknown
% 2.08/1.67 % (31070)Termination phase: Saturation
% 2.08/1.67
% 2.08/1.67 % (31070)Memory used [KB]: 7419
% 2.08/1.67 % (31070)Time elapsed: 0.218 s
% 2.08/1.67 % (31070)Instructions burned: 713 (million)
% 2.08/1.67 % (31070)------------------------------
% 2.08/1.67 % (31070)------------------------------
% 2.08/1.67 % (31101)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_30771 for (2997ds/62Mi)
% 2.08/1.67 % Exception at run slice level
% 2.08/1.67 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.68 % (31102)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_30771 for (2997ds/31Mi)
% 2.08/1.68 % (31103)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_30771 for (2997ds/96Mi)
% 2.08/1.68 % (31104)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_30771 for (2997ds/453Mi)
% 2.08/1.68 % Exception at run slice level
% 2.08/1.68 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.69 % (31102)Instruction limit reached!
% 2.08/1.69 % (31102)------------------------------
% 2.08/1.69 % (31102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.69 % (31102)Termination reason: Unknown
% 2.08/1.69 % (31102)Termination phase: Saturation
% 2.08/1.69
% 2.08/1.69 % (31102)Memory used [KB]: 5756
% 2.08/1.69 % (31102)Time elapsed: 0.012 s
% 2.08/1.69 % (31102)Instructions burned: 33 (million)
% 2.08/1.69 % (31102)------------------------------
% 2.08/1.69 % (31102)------------------------------
% 2.08/1.69 % (31105)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_30771 for (2997ds/71Mi)
% 2.08/1.70 % (31106)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_30771 for (2997ds/83Mi)
% 2.08/1.71 % (31103)Instruction limit reached!
% 2.08/1.71 % (31103)------------------------------
% 2.08/1.71 % (31103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.71 % (31103)Termination reason: Unknown
% 2.08/1.71 % (31103)Termination phase: Saturation
% 2.08/1.71
% 2.08/1.71 % (31103)Memory used [KB]: 6140
% 2.08/1.71 % (31103)Time elapsed: 0.031 s
% 2.08/1.71 % (31103)Instructions burned: 98 (million)
% 2.08/1.71 % (31103)------------------------------
% 2.08/1.71 % (31103)------------------------------
% 2.08/1.72 % (31105)Instruction limit reached!
% 2.08/1.72 % (31105)------------------------------
% 2.08/1.72 % (31105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.72 % (31105)Termination reason: Unknown
% 2.08/1.72 % (31105)Termination phase: Saturation
% 2.08/1.72
% 2.08/1.72 % (31105)Memory used [KB]: 5884
% 2.08/1.72 % (31105)Time elapsed: 0.025 s
% 2.08/1.72 % (31105)Instructions burned: 73 (million)
% 2.08/1.72 % (31105)------------------------------
% 2.08/1.72 % (31105)------------------------------
% 2.08/1.72 % (31107)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_30771 for (2996ds/11Mi)
% 2.08/1.72 % Exception at run slice level
% 2.08/1.72 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.72 % (31106)Instruction limit reached!
% 2.08/1.72 % (31106)------------------------------
% 2.08/1.72 % (31106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.72 % (31106)Termination reason: Unknown
% 2.08/1.72 % (31106)Termination phase: Saturation
% 2.08/1.72
% 2.08/1.72 % (31106)Memory used [KB]: 6012
% 2.08/1.72 % (31106)Time elapsed: 0.028 s
% 2.08/1.72 % (31106)Instructions burned: 85 (million)
% 2.08/1.72 % (31106)------------------------------
% 2.08/1.72 % (31106)------------------------------
% 2.08/1.73 % (31108)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_30771 for (2996ds/41Mi)
% 2.08/1.73 % (31109)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_30771 for (2996ds/6Mi)
% 2.08/1.73 % Exception at run slice level
% 2.08/1.73 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.73 % (31109)Instruction limit reached!
% 2.08/1.73 % (31109)------------------------------
% 2.08/1.73 % (31109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.73 % (31109)Termination reason: Unknown
% 2.08/1.73 % (31109)Termination phase: shuffling
% 2.08/1.73
% 2.08/1.73 % (31109)Memory used [KB]: 1023
% 2.08/1.73 % (31109)Time elapsed: 0.003 s
% 2.08/1.73 % (31109)Instructions burned: 7 (million)
% 2.08/1.73 % (31109)------------------------------
% 2.08/1.73 % (31109)------------------------------
% 2.08/1.73 % (31110)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_30771 for (2996ds/150Mi)
% 2.08/1.73 % (31093)Instruction limit reached!
% 2.08/1.73 % (31093)------------------------------
% 2.08/1.73 % (31093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.73 % (31093)Termination reason: Unknown
% 2.08/1.73 % (31093)Termination phase: Saturation
% 2.08/1.73
% 2.08/1.73 % (31093)Memory used [KB]: 6268
% 2.08/1.73 % (31093)Time elapsed: 0.163 s
% 2.08/1.73 % (31093)Instructions burned: 508 (million)
% 2.08/1.73 % (31093)------------------------------
% 2.08/1.73 % (31093)------------------------------
% 2.08/1.74 % (31111)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_30771 for (2996ds/343Mi)
% 2.08/1.74 % (31112)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_30771 for (2996ds/109Mi)
% 2.08/1.74 % (31113)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_30771 for (2996ds/253Mi)
% 2.08/1.76 % (31072)Instruction limit reached!
% 2.08/1.76 % (31072)------------------------------
% 2.08/1.76 % (31072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.76 % (31072)Termination reason: Unknown
% 2.08/1.76 % (31072)Termination phase: Saturation
% 2.08/1.76
% 2.08/1.76 % (31072)Memory used [KB]: 6908
% 2.08/1.76 % (31072)Time elapsed: 0.302 s
% 2.08/1.76 % (31072)Instructions burned: 903 (million)
% 2.08/1.76 % (31072)------------------------------
% 2.08/1.76 % (31072)------------------------------
% 2.08/1.77 % (31112)Instruction limit reached!
% 2.08/1.77 % (31112)------------------------------
% 2.08/1.77 % (31112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.77 % (31112)Termination reason: Unknown
% 2.08/1.77 % (31112)Termination phase: Saturation
% 2.08/1.77
% 2.08/1.77 % (31112)Memory used [KB]: 6396
% 2.08/1.77 % (31112)Time elapsed: 0.033 s
% 2.08/1.77 % (31112)Instructions burned: 109 (million)
% 2.08/1.77 % (31112)------------------------------
% 2.08/1.77 % (31112)------------------------------
% 2.08/1.77 % (31114)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_30771 for (2996ds/140Mi)
% 2.08/1.78 % (31110)Instruction limit reached!
% 2.08/1.78 % (31110)------------------------------
% 2.08/1.78 % (31110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.78 % (31110)Termination reason: Unknown
% 2.08/1.78 % (31110)Termination phase: Saturation
% 2.08/1.78
% 2.08/1.78 % (31110)Memory used [KB]: 6268
% 2.08/1.78 % (31110)Time elapsed: 0.048 s
% 2.08/1.78 % (31110)Instructions burned: 151 (million)
% 2.08/1.78 % (31110)------------------------------
% 2.08/1.78 % (31110)------------------------------
% 2.08/1.78 % (31115)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_30771 for (2996ds/614Mi)
% 2.08/1.79 % (31079)Instruction limit reached!
% 2.08/1.79 % (31079)------------------------------
% 2.08/1.79 % (31079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.79 % (31079)Termination reason: Unknown
% 2.08/1.79 % (31079)Termination phase: Saturation
% 2.08/1.79
% 2.08/1.79 % (31079)Memory used [KB]: 7164
% 2.08/1.79 % (31079)Time elapsed: 0.297 s
% 2.08/1.79 % (31079)Instructions burned: 881 (million)
% 2.08/1.79 % (31079)------------------------------
% 2.08/1.79 % (31079)------------------------------
% 2.08/1.79 % (31116)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_30771 for (2996ds/202Mi)
% 2.08/1.80 % (31117)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_30771 for (2996ds/339Mi)
% 2.08/1.80 % (31116)Refutation not found, incomplete strategy
% 2.08/1.80 % (31116)------------------------------
% 2.08/1.80 % (31116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.80 % (31116)Termination reason: Refutation not found, incomplete strategy
% 2.08/1.80
% 2.08/1.80
% 2.08/1.80 % (31116)Memory used [KB]: 5756
% 2.08/1.80 % (31116)Time elapsed: 0.010 s
% 2.08/1.80 % (31116)Instructions burned: 26 (million)
% 2.08/1.80 % (31116)------------------------------
% 2.08/1.80 % (31116)------------------------------
% 2.08/1.81 % (31118)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_30771 for (2995ds/283Mi)
% 2.08/1.81 % Exception at run slice level
% 2.08/1.81 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.82 % (31114)Instruction limit reached!
% 2.08/1.82 % (31114)------------------------------
% 2.08/1.82 % (31114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.82 % (31114)Termination reason: Unknown
% 2.08/1.82 % (31114)Termination phase: Saturation
% 2.08/1.82
% 2.08/1.82 % (31114)Memory used [KB]: 6396
% 2.08/1.82 % (31114)Time elapsed: 0.048 s
% 2.08/1.82 % (31114)Instructions burned: 140 (million)
% 2.08/1.82 % (31114)------------------------------
% 2.08/1.82 % (31114)------------------------------
% 2.08/1.82 % (31119)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_30771 for (2995ds/134Mi)
% 2.08/1.82 % (31113)Instruction limit reached!
% 2.08/1.82 % (31113)------------------------------
% 2.08/1.82 % (31113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.82 % (31113)Termination reason: Unknown
% 2.08/1.82 % (31113)Termination phase: Saturation
% 2.08/1.82
% 2.08/1.82 % (31113)Memory used [KB]: 6140
% 2.08/1.82 % (31113)Time elapsed: 0.077 s
% 2.08/1.82 % (31113)Instructions burned: 255 (million)
% 2.08/1.82 % (31113)------------------------------
% 2.08/1.82 % (31113)------------------------------
% 2.08/1.83 % (31120)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_30771 for (2995ds/298Mi)
% 2.08/1.83 % Exception at run slice level
% 2.08/1.83 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 2.08/1.83 % (31121)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_30771 for (2995ds/192Mi)
% 2.08/1.84 % (31122)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_30771 for (2995ds/258Mi)
% 2.08/1.85 % (31097)First to succeed.
% 2.08/1.85 % (31111)Instruction limit reached!
% 2.08/1.85 % (31111)------------------------------
% 2.08/1.85 % (31111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.85 % (31111)Termination reason: Unknown
% 2.08/1.85 % (31111)Termination phase: Saturation
% 2.08/1.85
% 2.08/1.85 % (31111)Memory used [KB]: 6268
% 2.08/1.85 % (31111)Time elapsed: 0.116 s
% 2.08/1.85 % (31111)Instructions burned: 344 (million)
% 2.08/1.85 % (31111)------------------------------
% 2.08/1.85 % (31111)------------------------------
% 2.08/1.85 % (31097)Refutation found. Thanks to Tanya!
% 2.08/1.85 % SZS status Theorem for DTF2THF_30771
% 2.08/1.85 % SZS output start Proof for DTF2THF_30771
% 2.08/1.85 thf(type_def_6, type, color: $tType).
% 2.08/1.85 thf(type_def_7, type, nat: $tType).
% 2.08/1.85 thf(type_def_8, type, tree: ($tType) > $tType).
% 2.08/1.85 thf(type_def_9, type, sK4: $tType).
% 2.08/1.85 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 2.08/1.85 thf(func_def_2, type, color: $tType).
% 2.08/1.85 thf(func_def_3, type, colorStar: color > color > $o).
% 2.08/1.85 thf(func_def_4, type, black: color).
% 2.08/1.85 thf(func_def_5, type, red: color).
% 2.08/1.85 thf(func_def_6, type, nat: $tType).
% 2.08/1.85 thf(func_def_7, type, natStar: nat > nat > $o).
% 2.08/1.85 thf(func_def_8, type, zero: nat).
% 2.08/1.85 thf(func_def_9, type, suc: nat > nat).
% 2.08/1.85 thf(func_def_10, type, tree: ($tType) > $tType).
% 2.08/1.85 thf(func_def_11, type, treeStar: !>[X0: $tType]:((X0 > X0 > $o) > color > nat > tree @ X0 > tree @ X0 > $o)).
% 2.08/1.85 thf(func_def_12, type, leaf: !>[X0: $tType]:(tree @ X0)).
% 2.08/1.85 thf(func_def_13, type, rt: !>[X0: $tType]:(nat > tree @ X0 > X0 > tree @ X0 > tree @ X0)).
% 2.08/1.85 thf(func_def_14, type, bt: !>[X0: $tType]:(nat > color > color > tree @ X0 > X0 > tree @ X0 > tree @ X0)).
% 2.08/1.85 thf(func_def_15, type, rev: !>[X0: $tType]:(color > nat > tree @ X0 > tree @ X0)).
% 2.08/1.85 thf(func_def_18, type, sP0: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 2.08/1.85 thf(func_def_19, type, sP1: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 2.08/1.85 thf(func_def_20, type, sP2: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 2.08/1.85 thf(func_def_21, type, sP3: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 2.08/1.85 thf(func_def_22, type, sK5: sK4 > sK4 > $o).
% 2.08/1.85 thf(func_def_23, type, sK6: nat).
% 2.08/1.85 thf(func_def_24, type, sK7: color).
% 2.08/1.85 thf(func_def_25, type, sK8: tree @ sK4).
% 2.08/1.85 thf(func_def_26, type, sK9: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_27, type, sK10: !>[X0: $tType]:((X0 > X0 > $o) > nat)).
% 2.08/1.85 thf(func_def_28, type, sK11: !>[X0: $tType]:((X0 > X0 > $o) > tree @ X0)).
% 2.08/1.85 thf(func_def_29, type, sK12: !>[X0: $tType]:((X0 > X0 > $o) > tree @ X0)).
% 2.08/1.85 thf(func_def_30, type, sK13: !>[X0: $tType]:((X0 > X0 > $o) > color)).
% 2.08/1.85 thf(func_def_31, type, sK14: !>[X0: $tType]:((X0 > X0 > $o) > tree @ X0)).
% 2.08/1.85 thf(func_def_32, type, sK15: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_33, type, sK16: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_34, type, sK17: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_35, type, sK18: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_36, type, sK19: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 2.08/1.85 thf(func_def_38, type, ph21: !>[X0: $tType]:(X0)).
% 2.08/1.85 thf(f1418,plain,(
% 2.08/1.85 $false),
% 2.08/1.85 inference(avatar_sat_refutation,[status(thm)],[f1232,f1285])).
% 2.08/1.85 thf(f1285,plain,(
% 2.08/1.85 spl20_16),
% 2.08/1.85 inference(avatar_split_clause,[status(thm)],[f1284,f378])).
% 2.08/1.85 thf(f378,definition,(
% 2.08/1.85 spl20_16 <=> ((sP1 @ sK4 @ sK5) = $true)),
% 2.08/1.85 introduced(definition,[new_symbols(naming,[spl20_16])],[avatar_definition])).
% 2.08/1.85 thf(f1284,plain,(
% 2.08/1.85 ((sP1 @ sK4 @ sK5) = $true)),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f1283,f102])).
% 2.08/1.85 thf(f102,plain,(
% 2.08/1.85 ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) = $true)),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f75])).
% 2.08/1.85 thf(f75,plain,(
% 2.08/1.85 (((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) = $true) & ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ sK8)) @ sK8) != $true)) & ((isPer @ sK4 @ sK5) = $true)),
% 2.08/1.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f64,f74,f73])).
% 2.08/1.85 thf(f73,plain,(
% 2.08/1.85 ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : nat,X3 : color,X4 : tree @ X0] : (((treeStar @ X0 @ X1 @ X3 @ X2 @ X4 @ X4) = $true) & ((treeStar @ X0 @ X1 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ X4)) @ X4) != $true)) & ((isPer @ X0 @ X1) = $true)) => (? [X4 : tree @ sK4,X3 : color,X2 : nat] : (((treeStar @ sK4 @ sK5 @ X3 @ X2 @ X4 @ X4) = $true) & ((treeStar @ sK4 @ sK5 @ X3 @ X2 @ (rev @ sK4 @ X3 @ X2 @ (rev @ sK4 @ X3 @ X2 @ X4)) @ X4) != $true)) & ((isPer @ sK4 @ sK5) = $true))),
% 2.08/1.85 introduced(definition,[],[choice_axiom])).
% 2.08/1.85 thf(f74,plain,(
% 2.08/1.85 ? [X4 : tree @ sK4,X3 : color,X2 : nat] : (((treeStar @ sK4 @ sK5 @ X3 @ X2 @ X4 @ X4) = $true) & ((treeStar @ sK4 @ sK5 @ X3 @ X2 @ (rev @ sK4 @ X3 @ X2 @ (rev @ sK4 @ X3 @ X2 @ X4)) @ X4) != $true)) => (((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) = $true) & ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ sK8)) @ sK8) != $true))),
% 2.08/1.85 introduced(definition,[],[choice_axiom])).
% 2.08/1.85 thf(f64,plain,(
% 2.08/1.85 ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : nat,X3 : color,X4 : tree @ X0] : (((treeStar @ X0 @ X1 @ X3 @ X2 @ X4 @ X4) = $true) & ((treeStar @ X0 @ X1 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ X4)) @ X4) != $true)) & ((isPer @ X0 @ X1) = $true))),
% 2.08/1.85 inference(ennf_transformation,[status(thm)],[f40])).
% 2.08/1.85 thf(f40,plain,(
% 2.08/1.85 ~! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : nat,X3 : color,X4 : tree @ X0] : (((treeStar @ X0 @ X1 @ X3 @ X2 @ X4 @ X4) = $true) => ((treeStar @ X0 @ X1 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ X4)) @ X4) = $true)))),
% 2.08/1.85 inference(fool_elimination,[status(thm)],[f39])).
% 2.08/1.85 thf(f39,plain,(
% 2.08/1.85 ~! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : nat,X3 : color,X4 : tree @ X0] : ((treeStar @ X0 @ X1 @ X3 @ X2 @ X4 @ X4) => (treeStar @ X0 @ X1 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ (rev @ X0 @ X3 @ X2 @ X4)) @ X4)))),
% 2.08/1.85 inference(rectify,[status(thm)],[f17])).
% 2.08/1.85 thf(f17,negated_conjecture,(
% 2.08/1.85 ~! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X9 : nat,X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ X9 @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ X20)) @ X20)))),
% 2.08/1.85 inference(negated_conjecture,[status(cth)],[f16])).
% 2.08/1.85 thf(f16,conjecture,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X9 : nat,X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ X9 @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ X20)) @ X20)))),
% 2.08/1.85 file('/export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2THF_30771.p',rev_rev)).
% 2.08/1.85 thf(f1283,plain,(
% 2.08/1.85 ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) != $true) | ((sP1 @ sK4 @ sK5) = $true)),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f1101,f100])).
% 2.08/1.85 thf(f100,plain,(
% 2.08/1.85 ((isPer @ sK4 @ sK5) = $true)),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f75])).
% 2.08/1.85 thf(f1101,plain,(
% 2.08/1.85 ((isPer @ sK4 @ sK5) != $true) | ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) != $true) | ((sP1 @ sK4 @ sK5) = $true)),
% 2.08/1.85 inference(trivial_inequality_removal,[status(thm)],[f1084])).
% 2.08/1.85 thf(f1084,plain,(
% 2.08/1.85 ($true != $true) | ((isPer @ sK4 @ sK5) != $true) | ((sP1 @ sK4 @ sK5) = $true) | ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ sK8 @ sK8) != $true)),
% 2.08/1.85 inference(superposition,[status(thm)],[f101,f450])).
% 2.08/1.85 thf(f450,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4)) @ X4)) | ((isPer @ X0 @ X1) != $true) | ($true != (treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X4)) | ($true = (sP1 @ X0 @ X1))) )),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f448,f110])).
% 2.08/1.85 thf(f110,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : tree @ X0,X4 : color,X5 : nat] : (((treeStar @ X0 @ X1 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ X6)) @ X6) = $true) | ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) = $true) | ($true = (sP1 @ X0 @ X1)) | ((treeStar @ X0 @ X1 @ X4 @ X5 @ X6 @ X6) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f84])).
% 2.08/1.85 thf(f84,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1))) @ (sK14 @ X0 @ X1)) != $true) & ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) = $true)) | ! [X4 : color,X5 : nat,X6 : tree @ X0] : (((treeStar @ X0 @ X1 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ X6)) @ X6) = $true) | ((treeStar @ X0 @ X1 @ X4 @ X5 @ X6 @ X6) != $true)) | ((isPer @ X0 @ X1) != $true) | ($true = (sP1 @ X0 @ X1)))),
% 2.08/1.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f82,f83])).
% 2.08/1.85 thf(f83,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) != $true) & ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true)) => (((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1))) @ (sK14 @ X0 @ X1)) != $true) & ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) = $true)))),
% 2.08/1.85 introduced(definition,[],[choice_axiom])).
% 2.08/1.85 thf(f82,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) != $true) & ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true)) | ! [X4 : color,X5 : nat,X6 : tree @ X0] : (((treeStar @ X0 @ X1 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ X6)) @ X6) = $true) | ((treeStar @ X0 @ X1 @ X4 @ X5 @ X6 @ X6) != $true)) | ((isPer @ X0 @ X1) != $true) | ($true = (sP1 @ X0 @ X1)))),
% 2.08/1.85 inference(rectify,[status(thm)],[f69])).
% 2.08/1.85 thf(f69,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) != $true) & ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true)) | ! [X14 : color,X15 : nat,X16 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ X16)) @ X16)) | ($true != (treeStar @ X0 @ X1 @ X14 @ X15 @ X16 @ X16))) | ((isPer @ X0 @ X1) != $true) | ($true = (sP1 @ X0 @ X1)))),
% 2.08/1.85 inference(definition_folding,[status(thm)],[f59,f68,f67])).
% 2.08/1.85 thf(f67,plain,(
% 2.08/1.85 ! [X1 : X0 > X0 > $o,X0 : $tType] : (? [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13)) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12)) & ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) = $true) & ((treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13)) != $true) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12))) | ~((sP0 @ X0 @ X1) = $true))),
% 2.08/1.85 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 2.08/1.85 thf(f68,plain,(
% 2.08/1.85 ! [X1 : X0 > X0 > $o,X0 : $tType] : ((((sP0 @ X0 @ X1) = $true) & ! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : (((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) != $true) | ($true = (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) != $true) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) != $true) | ((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) != $true))) | ~($true = (sP1 @ X0 @ X1)))),
% 2.08/1.85 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 2.08/1.85 thf(f59,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) != $true) & ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true)) | ! [X14 : color,X15 : nat,X16 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ X16)) @ X16)) | ($true != (treeStar @ X0 @ X1 @ X14 @ X15 @ X16 @ X16))) | ((isPer @ X0 @ X1) != $true) | (? [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13)) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12)) & ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) = $true) & ((treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13)) != $true) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12))) & ! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : (((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) != $true) | ($true = (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) != $true) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) != $true) | ((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) != $true))))),
% 2.08/1.85 inference(flattening,[status(thm)],[f58])).
% 2.08/1.85 thf(f58,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X14 : color,X15 : nat,X16 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ X16)) @ X16)) | ($true != (treeStar @ X0 @ X1 @ X14 @ X15 @ X16 @ X16))) | (? [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : ((((((treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13)) != $true) & ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) = $true)) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12))) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13))) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12))) & ! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : ((((($true = (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) != $true)) | ((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) != $true)) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) != $true)) | ((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) != $true)))) | ? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) != $true) & ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true))) | ((isPer @ X0 @ X1) != $true))),
% 2.08/1.85 inference(ennf_transformation,[status(thm)],[f36])).
% 2.08/1.85 thf(f36,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => (! [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) => ((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) = $true)) => ((! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : (((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) = $true) => (((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) = $true) => (((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) = $true) => (((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) = $true) => ($true = (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))))))) => ! [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12)) => (($true = (treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13)) => (($true = (treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12)) => (((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) = $true) => ((treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13)) = $true)))))) => ! [X14 : color,X15 : nat,X16 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X14 @ X15 @ X16 @ X16)) => ($true = (treeStar @ X0 @ X1 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ X16)) @ X16))))))),
% 2.08/1.85 inference(fool_elimination,[status(thm)],[f35])).
% 2.08/1.85 thf(f35,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (! [X2 : color,X3 : tree @ X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) => (treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3)) => ((! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : ((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) => ((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) => ((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) => ((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) => (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9)))))) => ! [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : ((treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12) => ((treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13) => ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12) => ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) => (treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))))))) => ! [X14 : color,X15 : nat,X16 : tree @ X0] : ((treeStar @ X0 @ X1 @ X14 @ X15 @ X16 @ X16) => (treeStar @ X0 @ X1 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ (rev @ X0 @ X14 @ X15 @ X16)) @ X16)))))),
% 2.08/1.85 inference(rectify,[status(thm)],[f15])).
% 2.08/1.85 thf(f15,axiom,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (! [X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ X20)) @ X20)) => ((! [X2 : X0,X9 : nat,X16 : color,X17 : color,X18 : tree @ X0,X19 : tree @ X0] : ((treeStar @ X0 @ X1 @ X16 @ X9 @ X18 @ X18) => ((treeStar @ X0 @ X1 @ X17 @ X9 @ X19 @ X19) => ((treeStar @ X0 @ X1 @ X16 @ X9 @ (rev @ X0 @ X16 @ X9 @ (rev @ X0 @ X16 @ X9 @ X18)) @ X18) => ((treeStar @ X0 @ X1 @ X17 @ X9 @ (rev @ X0 @ X17 @ X9 @ (rev @ X0 @ X17 @ X9 @ X19)) @ X19) => (treeStar @ X0 @ X1 @ black @ (suc @ X9) @ (rev @ X0 @ black @ (suc @ X9) @ (rev @ X0 @ black @ (suc @ X9) @ (bt @ X0 @ X9 @ X16 @ X17 @ X18 @ X2 @ X19))) @ (bt @ X0 @ X9 @ X16 @ X17 @ X18 @ X2 @ X19)))))) => ! [X2 : X0,X9 : nat,X18 : tree @ X0,X19 : tree @ X0] : ((treeStar @ X0 @ X1 @ black @ X9 @ X18 @ X18) => ((treeStar @ X0 @ X1 @ black @ X9 @ X19 @ X19) => ((treeStar @ X0 @ X1 @ black @ X9 @ (rev @ X0 @ black @ X9 @ (rev @ X0 @ black @ X9 @ X18)) @ X18) => ((treeStar @ X0 @ X1 @ black @ X9 @ (rev @ X0 @ black @ X9 @ (rev @ X0 @ black @ X9 @ X19)) @ X19) => (treeStar @ X0 @ X1 @ red @ X9 @ (rev @ X0 @ red @ X9 @ (rev @ X0 @ red @ X9 @ (rt @ X0 @ X9 @ X18 @ X2 @ X19))) @ (rt @ X0 @ X9 @ X18 @ X2 @ X19))))))) => ! [X7 : color,X9 : nat,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ X9 @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ X20)) @ X20)))))),
% 2.08/1.85 file('/export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2THF_30771.p',inst)).
% 2.08/1.85 thf(f448,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0] : (($true != (treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X4)) | ((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) != $true) | ($true = (treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4)) @ X4)) | ($true = (sP1 @ X0 @ X1))) )),
% 2.08/1.85 inference(trivial_inequality_removal,[status(thm)],[f447])).
% 2.08/1.85 thf(f447,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4)) @ X4)) | ((isPer @ X0 @ X1) != $true) | ($true != $true) | ($true != (treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X4)) | ($true = (sP1 @ X0 @ X1)) | ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) != $true)) )),
% 2.08/1.85 inference(duplicate_literal_removal,[status(thm)],[f441])).
% 2.08/1.85 thf(f441,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4)) @ X4)) | ((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1) @ (sK14 @ X0 @ X1)) != $true) | ($true = (sP1 @ X0 @ X1)) | ($true != $true) | ($true != (treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X4)) | ((isPer @ X0 @ X1) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(superposition,[status(thm)],[f111,f98])).
% 2.08/1.85 thf(f98,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : color,X3 : tree @ X0,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) = $true) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f63])).
% 2.08/1.85 thf(f63,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true) | ((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) = $true)))),
% 2.08/1.85 inference(ennf_transformation,[status(thm)],[f34])).
% 2.08/1.85 thf(f34,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) => ((treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3) = $true)))),
% 2.08/1.85 inference(fool_elimination,[status(thm)],[f33])).
% 2.08/1.85 thf(f33,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : color,X3 : tree @ X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) => (treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3)))),
% 2.08/1.85 inference(rectify,[status(thm)],[f12])).
% 2.08/1.85 thf(f12,axiom,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ X20)) @ X20)))),
% 2.08/1.85 file('/export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2THF_30771.p',base)).
% 2.08/1.85 thf(f111,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : tree @ X0,X4 : color,X5 : nat] : (((treeStar @ X0 @ X1 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (rev @ X0 @ (sK13 @ X0 @ X1) @ zero @ (sK14 @ X0 @ X1))) @ (sK14 @ X0 @ X1)) != $true) | ((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ X4 @ X5 @ X6 @ X6) != $true) | ((treeStar @ X0 @ X1 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ (rev @ X0 @ X4 @ X5 @ X6)) @ X6) = $true) | ($true = (sP1 @ X0 @ X1))) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f84])).
% 2.08/1.85 thf(f101,plain,(
% 2.08/1.85 ((treeStar @ sK4 @ sK5 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ (rev @ sK4 @ sK7 @ sK6 @ sK8)) @ sK8) != $true)),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f75])).
% 2.08/1.85 thf(f1232,plain,(
% 2.08/1.85 ~spl20_16),
% 2.08/1.85 inference(avatar_contradiction_clause,[status(thm)],[f1231])).
% 2.08/1.85 thf(f1231,plain,(
% 2.08/1.85 $false | ~spl20_16),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f1230,f100])).
% 2.08/1.85 thf(f1230,plain,(
% 2.08/1.85 ((isPer @ sK4 @ sK5) != $true) | ~spl20_16),
% 2.08/1.85 inference(trivial_inequality_removal,[status(thm)],[f1229])).
% 2.08/1.85 thf(f1229,plain,(
% 2.08/1.85 ((isPer @ sK4 @ sK5) != $true) | ($true != $true) | ~spl20_16),
% 2.08/1.85 inference(superposition,[status(thm)],[f500,f379])).
% 2.08/1.85 thf(f379,plain,(
% 2.08/1.85 ((sP1 @ sK4 @ sK5) = $true) | ~spl20_16),
% 2.08/1.85 inference(avatar_component_clause,[status(thm)],[f378])).
% 2.08/1.85 thf(f500,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true != (sP1 @ X0 @ X1)) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(trivial_inequality_removal,[status(thm)],[f499])).
% 2.08/1.85 thf(f499,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true != $true) | ((isPer @ X0 @ X1) != $true) | ($true != (sP1 @ X0 @ X1))) )),
% 2.08/1.85 inference(superposition,[status(thm)],[f470,f104])).
% 2.08/1.85 thf(f104,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((sP0 @ X1 @ X0) = $true) | ((sP1 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f77])).
% 2.08/1.85 thf(f77,plain,(
% 2.08/1.85 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((((sP0 @ X1 @ X0) = $true) & ! [X2 : X1,X3 : nat,X4 : color,X5 : color,X6 : tree @ X1,X7 : tree @ X1] : (((treeStar @ X1 @ X0 @ X4 @ X3 @ (rev @ X1 @ X4 @ X3 @ (rev @ X1 @ X4 @ X3 @ X6)) @ X6) != $true) | ((treeStar @ X1 @ X0 @ black @ (suc @ X3) @ (rev @ X1 @ black @ (suc @ X3) @ (rev @ X1 @ black @ (suc @ X3) @ (bt @ X1 @ X3 @ X4 @ X5 @ X6 @ X2 @ X7))) @ (bt @ X1 @ X3 @ X4 @ X5 @ X6 @ X2 @ X7)) = $true) | ((treeStar @ X1 @ X0 @ X5 @ X3 @ (rev @ X1 @ X5 @ X3 @ (rev @ X1 @ X5 @ X3 @ X7)) @ X7) != $true) | ((treeStar @ X1 @ X0 @ X5 @ X3 @ X7 @ X7) != $true) | ($true != (treeStar @ X1 @ X0 @ X4 @ X3 @ X6 @ X6)))) | ((sP1 @ X1 @ X0) != $true))),
% 2.08/1.85 inference(rectify,[status(thm)],[f76])).
% 2.08/1.85 thf(f76,plain,(
% 2.08/1.85 ! [X1 : X0 > X0 > $o,X0 : $tType] : ((((sP0 @ X0 @ X1) = $true) & ! [X4 : X0,X5 : nat,X6 : color,X7 : color,X8 : tree @ X0,X9 : tree @ X0] : (((treeStar @ X0 @ X1 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ (rev @ X0 @ X6 @ X5 @ X8)) @ X8) != $true) | ($true = (treeStar @ X0 @ X1 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (rev @ X0 @ black @ (suc @ X5) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) @ (bt @ X0 @ X5 @ X6 @ X7 @ X8 @ X4 @ X9))) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ (rev @ X0 @ X7 @ X5 @ X9)) @ X9) != $true) | ((treeStar @ X0 @ X1 @ X7 @ X5 @ X9 @ X9) != $true) | ((treeStar @ X0 @ X1 @ X6 @ X5 @ X8 @ X8) != $true))) | ($true != (sP1 @ X0 @ X1)))),
% 2.08/1.85 inference(nnf_transformation,[status(thm)],[f68])).
% 2.08/1.85 thf(f470,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((sP0 @ X0 @ X1) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f469,f107])).
% 2.08/1.85 thf(f107,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0))) @ (sK12 @ X1 @ X0)) = $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f81])).
% 2.08/1.85 thf(f81,plain,(
% 2.08/1.85 ! [X0 : X1 > X1 > $o,X1 : $tType] : ((((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0))) @ (sK11 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0))) @ (sK12 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0)))) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0))) != $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK11 @ X1 @ X0)) = $true)) | ((sP0 @ X1 @ X0) != $true))),
% 2.08/1.85 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f79,f80])).
% 2.08/1.85 thf(f80,plain,(
% 2.08/1.85 ! [X1 : $tType,X0 : X1 > X1 > $o] : (? [X2 : X1,X3 : nat,X4 : tree @ X1,X5 : tree @ X1] : (((treeStar @ X1 @ X0 @ black @ X3 @ X5 @ X5) = $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ (rev @ X1 @ black @ X3 @ (rev @ X1 @ black @ X3 @ X4)) @ X4) = $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ (rev @ X1 @ black @ X3 @ (rev @ X1 @ black @ X3 @ X5)) @ X5) = $true) & ((treeStar @ X1 @ X0 @ red @ X3 @ (rev @ X1 @ red @ X3 @ (rev @ X1 @ red @ X3 @ (rt @ X1 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X1 @ X3 @ X4 @ X2 @ X5)) != $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ X4 @ X4) = $true)) => (((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0))) @ (sK11 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0))) @ (sK12 @ X1 @ X0)) = $true) & ((treeStar @ X1 @ X0 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0)))) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0))) != $true) & ((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK11 @ X1 @ X0)) = $true)))),
% 2.08/1.85 introduced(definition,[],[choice_axiom])).
% 2.08/1.85 thf(f79,plain,(
% 2.08/1.85 ! [X0 : X1 > X1 > $o,X1 : $tType] : (? [X2 : X1,X3 : nat,X4 : tree @ X1,X5 : tree @ X1] : (((treeStar @ X1 @ X0 @ black @ X3 @ X5 @ X5) = $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ (rev @ X1 @ black @ X3 @ (rev @ X1 @ black @ X3 @ X4)) @ X4) = $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ (rev @ X1 @ black @ X3 @ (rev @ X1 @ black @ X3 @ X5)) @ X5) = $true) & ((treeStar @ X1 @ X0 @ red @ X3 @ (rev @ X1 @ red @ X3 @ (rev @ X1 @ red @ X3 @ (rt @ X1 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X1 @ X3 @ X4 @ X2 @ X5)) != $true) & ((treeStar @ X1 @ X0 @ black @ X3 @ X4 @ X4) = $true)) | ((sP0 @ X1 @ X0) != $true))),
% 2.08/1.85 inference(rectify,[status(thm)],[f78])).
% 2.08/1.85 thf(f78,plain,(
% 2.08/1.85 ! [X1 : X0 > X0 > $o,X0 : $tType] : (? [X10 : X0,X11 : nat,X12 : tree @ X0,X13 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ black @ X11 @ X13 @ X13)) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X12)) @ X12)) & ((treeStar @ X0 @ X1 @ black @ X11 @ (rev @ X0 @ black @ X11 @ (rev @ X0 @ black @ X11 @ X13)) @ X13) = $true) & ((treeStar @ X0 @ X1 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rev @ X0 @ red @ X11 @ (rt @ X0 @ X11 @ X12 @ X10 @ X13))) @ (rt @ X0 @ X11 @ X12 @ X10 @ X13)) != $true) & ($true = (treeStar @ X0 @ X1 @ black @ X11 @ X12 @ X12))) | ((sP0 @ X0 @ X1) != $true))),
% 2.08/1.85 inference(nnf_transformation,[status(thm)],[f67])).
% 2.08/1.85 thf(f469,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((sP0 @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1))) @ (sK12 @ X0 @ X1)) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f468,f108])).
% 2.08/1.85 thf(f108,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (rev @ X1 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0))) @ (sK11 @ X1 @ X0)) = $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f81])).
% 2.08/1.85 thf(f468,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1))) @ (sK11 @ X0 @ X1)) != $true) | ((sP0 @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1))) @ (sK12 @ X0 @ X1)) != $true)) )),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f467,f105])).
% 2.08/1.85 thf(f105,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK11 @ X1 @ X0)) = $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f81])).
% 2.08/1.85 thf(f467,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1) @ (sK11 @ X0 @ X1)) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1))) @ (sK12 @ X0 @ X1)) != $true) | ((isPer @ X0 @ X1) != $true) | ((sP0 @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1))) @ (sK11 @ X0 @ X1)) != $true)) )),
% 2.08/1.85 inference(subsumption_resolution,[status(thm)],[f466,f109])).
% 2.08/1.85 thf(f109,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((treeStar @ X1 @ X0 @ black @ (sK10 @ X1 @ X0) @ (sK12 @ X1 @ X0) @ (sK12 @ X1 @ X0)) = $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f81])).
% 2.08/1.85 thf(f466,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1) @ (sK12 @ X0 @ X1)) != $true) | ((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1))) @ (sK12 @ X0 @ X1)) != $true) | ((sP0 @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1))) @ (sK11 @ X0 @ X1)) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1) @ (sK11 @ X0 @ X1)) != $true)) )),
% 2.08/1.85 inference(trivial_inequality_removal,[status(thm)],[f465])).
% 2.08/1.85 thf(f465,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1) @ (sK12 @ X0 @ X1)) != $true) | ($true != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK12 @ X0 @ X1))) @ (sK12 @ X0 @ X1)) != $true) | ((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1) @ (sK11 @ X0 @ X1)) != $true) | ((sP0 @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (rev @ X0 @ black @ (sK10 @ X0 @ X1) @ (sK11 @ X0 @ X1))) @ (sK11 @ X0 @ X1)) != $true)) )),
% 2.08/1.85 inference(superposition,[status(thm)],[f106,f99])).
% 2.08/1.85 thf(f99,plain,(
% 2.08/1.85 ( ! [X0 : $tType,X2 : X0,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0,X5 : tree @ X0] : (((treeStar @ X0 @ X1 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rt @ X0 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X0 @ X3 @ X4 @ X2 @ X5)) = $true) | ($true != (treeStar @ X0 @ X1 @ black @ X3 @ X4 @ X4)) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X4)) @ X4) != $true) | ((isPer @ X0 @ X1) != $true) | ($true != (treeStar @ X0 @ X1 @ black @ X3 @ X5 @ X5)) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X5)) @ X5) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f52])).
% 2.08/1.85 thf(f52,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : X0,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : (($true != (treeStar @ X0 @ X1 @ black @ X3 @ X5 @ X5)) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X4)) @ X4) != $true) | ($true != (treeStar @ X0 @ X1 @ black @ X3 @ X4 @ X4)) | ((treeStar @ X0 @ X1 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rt @ X0 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X0 @ X3 @ X4 @ X2 @ X5)) = $true) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X5)) @ X5) != $true)) | ((isPer @ X0 @ X1) != $true))),
% 2.08/1.85 inference(flattening,[status(thm)],[f51])).
% 2.08/1.85 thf(f51,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : X0,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : ((((((treeStar @ X0 @ X1 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rt @ X0 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X0 @ X3 @ X4 @ X2 @ X5)) = $true) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X5)) @ X5) != $true)) | ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X4)) @ X4) != $true)) | ($true != (treeStar @ X0 @ X1 @ black @ X3 @ X5 @ X5))) | ($true != (treeStar @ X0 @ X1 @ black @ X3 @ X4 @ X4))) | ((isPer @ X0 @ X1) != $true))),
% 2.08/1.85 inference(ennf_transformation,[status(thm)],[f38])).
% 2.08/1.85 thf(f38,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : X0,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : (($true = (treeStar @ X0 @ X1 @ black @ X3 @ X4 @ X4)) => (($true = (treeStar @ X0 @ X1 @ black @ X3 @ X5 @ X5)) => (((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X4)) @ X4) = $true) => (((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X5)) @ X5) = $true) => ((treeStar @ X0 @ X1 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rt @ X0 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X0 @ X3 @ X4 @ X2 @ X5)) = $true))))))),
% 2.08/1.85 inference(fool_elimination,[status(thm)],[f37])).
% 2.08/1.85 thf(f37,plain,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : X0,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : ((treeStar @ X0 @ X1 @ black @ X3 @ X4 @ X4) => ((treeStar @ X0 @ X1 @ black @ X3 @ X5 @ X5) => ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X4)) @ X4) => ((treeStar @ X0 @ X1 @ black @ X3 @ (rev @ X0 @ black @ X3 @ (rev @ X0 @ black @ X3 @ X5)) @ X5) => (treeStar @ X0 @ X1 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rev @ X0 @ red @ X3 @ (rt @ X0 @ X3 @ X4 @ X2 @ X5))) @ (rt @ X0 @ X3 @ X4 @ X2 @ X5)))))))),
% 2.08/1.85 inference(rectify,[status(thm)],[f13])).
% 2.08/1.85 thf(f13,axiom,(
% 2.08/1.85 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : X0,X9 : nat,X18 : tree @ X0,X19 : tree @ X0] : ((treeStar @ X0 @ X1 @ black @ X9 @ X18 @ X18) => ((treeStar @ X0 @ X1 @ black @ X9 @ X19 @ X19) => ((treeStar @ X0 @ X1 @ black @ X9 @ (rev @ X0 @ black @ X9 @ (rev @ X0 @ black @ X9 @ X18)) @ X18) => ((treeStar @ X0 @ X1 @ black @ X9 @ (rev @ X0 @ black @ X9 @ (rev @ X0 @ black @ X9 @ X19)) @ X19) => (treeStar @ X0 @ X1 @ red @ X9 @ (rev @ X0 @ red @ X9 @ (rev @ X0 @ red @ X9 @ (rt @ X0 @ X9 @ X18 @ X2 @ X19))) @ (rt @ X0 @ X9 @ X18 @ X2 @ X19)))))))),
% 2.08/1.85 file('/export/starexec/sandbox/tmp/tmp.2Z93WzeeTD/DTF2THF_30771.p',rt_step)).
% 2.08/1.85 thf(f106,plain,(
% 2.08/1.85 ( ! [X1 : $tType,X0 : X1 > X1 > $o] : (((treeStar @ X1 @ X0 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rev @ X1 @ red @ (sK10 @ X1 @ X0) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0)))) @ (rt @ X1 @ (sK10 @ X1 @ X0) @ (sK11 @ X1 @ X0) @ (sK9 @ X1 @ X0) @ (sK12 @ X1 @ X0))) != $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 2.08/1.85 inference(cnf_transformation,[status(thm)],[f81])).
% 2.08/1.85 % SZS output end Proof for DTF2THF_30771
% 2.08/1.85 % (31097)------------------------------
% 2.08/1.85 % (31097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.08/1.85 % (31097)Termination reason: Refutation
% 2.08/1.85
% 2.08/1.85 % (31097)Memory used [KB]: 6908
% 2.08/1.85 % (31097)Time elapsed: 0.229 s
% 2.08/1.85 % (31097)Instructions burned: 695 (million)
% 2.08/1.85 % (31097)------------------------------
% 2.08/1.85 % (31097)------------------------------
% 2.08/1.85 % (31049)Success in time 0.457 s
%------------------------------------------------------------------------------