%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT420^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:45:42 AM UTC 2026
% Result : Theorem 8.50s 2.38s
% Output : Refutation 8.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT420^1 : TPTP v9.2.1. Released v9.2.0.
% 0.09/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Feb 24 06:16:23 EST 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.44 ---- Original DTF file ---
% 0.16/0.44 thf(spec,logic,$$dhol).
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 % File : DAT420^1 : TPTP v9.2.1. Released v9.2.0.
% 0.16/0.44 % Domain : Data Structures
% 0.16/0.44 % Problem : Reversal of a red-black-tree is an involution, base case
% 0.16/0.44 % Version : Especial.
% 0.16/0.44 % English :
% 0.16/0.44
% 0.16/0.44 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.16/0.44 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.16/0.44 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.16/0.44 % Source : [Rot25]
% 0.16/0.44 % Names : RedBlackTree/rbt-rev-invol-base.p [Rot25]
% 0.16/0.44
% 0.16/0.44 % Status : Theorem
% 0.16/0.44 % Rating : ? v9.2.0
% 0.16/0.44 % Syntax : Number of formulae : 24 ( 8 unt; 11 typ; 0 def)
% 0.16/0.44 % Number of atoms : 24 ( 24 equ; 0 cnn)
% 0.16/0.44 % Maximal formula atoms : 6 ( 1 avg)
% 0.16/0.44 % Number of connectives : 226 ( 7 ~; 2 |; 7 &; 204 @)
% 0.16/0.44 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.16/0.44 % Maximal formula depth : 14 ( 6 avg)
% 0.16/0.44 % Number of types : 3 ( 2 usr)
% 0.16/0.44 % Number of type decls : 11 ( 4 !>P; 3 !>D)
% 0.16/0.44 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.16/0.44 % Number of symbols : 10 ( 9 usr; 3 con; 0-7 aty)
% 0.16/0.44 % Number of variables : 61 ( 0 ^; 35 !; 16 ?; 61 :)
% 0.16/0.44 % ( 10 !>; 0 ?*; 0 @-; 0 @+)
% 0.16/0.44 % SPC : DH1_THM_EQU_NAR
% 0.16/0.44
% 0.16/0.44 % Comments :
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 thf(color_type,type,
% 0.16/0.44 color: $tType ).
% 0.16/0.44
% 0.16/0.44 thf(black_type,type,
% 0.16/0.44 black: color ).
% 0.16/0.44
% 0.16/0.44 thf(red_type,type,
% 0.16/0.44 red: color ).
% 0.16/0.44
% 0.16/0.44 thf(red_black,axiom,
% 0.16/0.44 ! [C: color] :
% 0.16/0.44 ( ( ( C = red )
% 0.16/0.44 & ( C != black ) )
% 0.16/0.44 | ( ( C != red )
% 0.16/0.44 & ( C = black ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(nat_type,type,
% 0.16/0.44 nat: $tType ).
% 0.16/0.44
% 0.16/0.44 thf(zero_type,type,
% 0.16/0.44 zero: nat ).
% 0.16/0.44
% 0.16/0.44 thf(suc_type,type,
% 0.16/0.44 suc: nat > nat ).
% 0.16/0.44
% 0.16/0.44 thf(peano1,axiom,
% 0.16/0.44 ! [N: nat] :
% 0.16/0.44 ( ( suc @ N )
% 0.16/0.44 != zero ) ).
% 0.16/0.44
% 0.16/0.44 thf(peano2,axiom,
% 0.16/0.44 ! [N: nat,M: nat] :
% 0.16/0.44 ( ( N != M )
% 0.16/0.44 => ( ( suc @ N )
% 0.16/0.44 != ( suc @ M ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(peano3,axiom,
% 0.16/0.44 ! [P: nat > $o] :
% 0.16/0.44 ( ( P @ zero )
% 0.16/0.44 => ( ! [M: nat] :
% 0.16/0.44 ( ( P @ M )
% 0.16/0.44 => ( P @ ( suc @ M ) ) )
% 0.16/0.44 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(tree_type,type,
% 0.16/0.44 tree: $tType > color > nat > $tType ).
% 0.16/0.44
% 0.16/0.44 thf(leaf_type,type,
% 0.16/0.44 leaf:
% 0.16/0.44 !>[A: $tType] : ( tree @ A @ black @ zero ) ).
% 0.16/0.44
% 0.16/0.44 thf(redTree_type,type,
% 0.16/0.44 rt:
% 0.16/0.44 !>[A: $tType,N: nat] : ( ( tree @ A @ black @ N ) > A > ( tree @ A @ black @ N ) > ( tree @ A @ red @ N ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rt_cons,axiom,
% 0.16/0.44 ! [A: $tType,N: nat,T: tree @ A @ red @ N] :
% 0.16/0.44 ? [X: A,T1: tree @ A @ black @ N,T2: tree @ A @ black @ N] :
% 0.16/0.44 ( T
% 0.16/0.44 = ( rt @ A @ N @ T1 @ X @ T2 ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(blackTree_type,type,
% 0.16/0.44 bt:
% 0.16/0.44 !>[A: $tType,N: nat,C1: color,C2: color] : ( ( tree @ A @ C1 @ N ) > A > ( tree @ A @ C2 @ N ) > ( tree @ A @ black @ ( suc @ N ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(bt_cons,axiom,
% 0.16/0.44 ! [A: $tType,N: nat,T: tree @ A @ black @ N] :
% 0.16/0.44 ( ( ( T
% 0.16/0.44 != ( leaf @ A ) )
% 0.16/0.44 & ? [X: A,M: nat,C1: color,C2: color,T1: tree @ A @ C1 @ M,T2: tree @ A @ C2 @ M] :
% 0.16/0.44 ( ( N
% 0.16/0.44 = ( suc @ M ) )
% 0.16/0.44 & ( T
% 0.16/0.44 = ( bt @ A @ M @ C1 @ C2 @ T1 @ X @ T2 ) ) ) )
% 0.16/0.44 | ( ( T
% 0.16/0.44 = ( leaf @ A ) )
% 0.16/0.44 & ~ ? [X: A,M: nat,C1: color,C2: color,T1: tree @ A @ C1 @ M,T2: tree @ A @ C2 @ M] :
% 0.16/0.44 ( ( N
% 0.16/0.44 = ( suc @ M ) )
% 0.16/0.44 & ( T
% 0.16/0.44 = ( bt @ A @ M @ C1 @ C2 @ T1 @ X @ T2 ) ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rbt_rev,type,
% 0.16/0.44 rev:
% 0.16/0.44 !>[A: $tType,C: color,N: nat] : ( ( tree @ A @ C @ N ) > ( tree @ A @ C @ N ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rev_leaf,axiom,
% 0.16/0.44 ! [A: $tType] :
% 0.16/0.44 ( ( rev @ A @ black @ zero @ ( leaf @ A ) )
% 0.16/0.44 = ( leaf @ A ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rev_bt,axiom,
% 0.16/0.44 ! [A: $tType,X: A,N: nat,C1: color,C2: color,T1: tree @ A @ C1 @ N,T2: tree @ A @ C2 @ N] :
% 0.16/0.44 ( ( rev @ A @ black @ ( suc @ N ) @ ( bt @ A @ N @ C1 @ C2 @ T1 @ X @ T2 ) )
% 0.16/0.44 = ( bt @ A @ N @ C1 @ C2 @ ( rev @ A @ C2 @ N @ T2 ) @ X @ ( rev @ A @ C1 @ N @ T1 ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rev_rt,axiom,
% 0.16/0.44 ! [A: $tType,X: A,N: nat,T1: tree @ A @ black @ N,T2: tree @ A @ black @ N] :
% 0.16/0.44 ( ( rev @ A @ red @ N @ ( rt @ A @ N @ T1 @ X @ T2 ) )
% 0.16/0.44 = ( rt @ A @ N @ ( rev @ A @ black @ N @ T2 ) @ X @ ( rev @ A @ black @ N @ T1 ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(bt_base,axiom,
% 0.16/0.44 ! [A: $tType] :
% 0.16/0.44 ( ( rev @ A @ black @ zero @ ( rev @ A @ black @ zero @ ( leaf @ A ) ) )
% 0.16/0.44 = ( leaf @ A ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(rt_base,axiom,
% 0.16/0.44 ! [A: $tType,X: A] :
% 0.16/0.44 ( ( rev @ A @ red @ zero @ ( rev @ A @ red @ zero @ ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) )
% 0.16/0.44 = ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(zero_height_tree_options,axiom,
% 0.16/0.44 ! [A: $tType,C: color,T: tree @ A @ C @ zero] :
% 0.16/0.44 ( ( ( C = red )
% 0.16/0.44 => ? [X: A] :
% 0.16/0.44 ( T
% 0.16/0.44 = ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) )
% 0.16/0.44 & ( ( C = black )
% 0.16/0.44 => ( T
% 0.16/0.44 = ( leaf @ A ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(base,conjecture,
% 0.16/0.44 ! [A: $tType,C: color,T: tree @ A @ C @ zero] :
% 0.16/0.44 ( ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) )
% 0.16/0.44 = T ) ).
% 0.16/0.44
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 ------------------------
% 1.53/1.27 ---- Embedded in THF ---
% 1.53/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.53/1.28 %%% Generated on Tue Feb 24 06:16:24 EST 2026
% 1.53/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.53/1.28 %%% Logic specification used:
% 1.53/1.28 %%% thf(spec, logic, $$dhol).
% 1.53/1.28
% 1.53/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2DTF8987.p
% 1.53/1.28 thf(is_per_type, type, isPer: (!> [A:$tType]: (((A > (A > $o)) > $o)))).
% 1.53/1.28 thf(is_per, definition, (! [A:$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)))))))))).
% 1.53/1.28 thf(color_type, type, color: $tType).
% 1.53/1.28 thf(colorStar, type, 'colorStar': (color > (color > $o))).
% 1.53/1.28 thf(colorStar_is_eq, axiom, (! [X:color,Y:color]: (((('colorStar' @ X) @ Y) <=> (X = Y))))).
% 1.53/1.28 thf(black_type, type, black: color).
% 1.53/1.28 thf(red_type, type, red: color).
% 1.53/1.28 thf(nat_type, type, nat: $tType).
% 1.53/1.28 thf(natStar, type, 'natStar': (nat > (nat > $o))).
% 1.53/1.28 thf(natStar_is_eq, axiom, (! [X:nat,Y:nat]: (((('natStar' @ X) @ Y) <=> (X = Y))))).
% 1.53/1.28 thf(zero_type, type, zero: nat).
% 1.53/1.28 thf(suc_type, type, suc: (nat > nat)).
% 1.53/1.28 thf(tree_type, type, tree: ($tType > $tType)).
% 1.53/1.28 thf(treeStar, type, 'treeStar': (!> [A:$tType]: (((A > (A > $o)) > (color > (nat > ((tree @ A) > ((tree @ A) > $o)))))))).
% 1.53/1.28 thf('\'treeStar\'_is_per', axiom, (! [B:$tType,BStar:(B > (B > $o))]: ((((isPer @ B) @ BStar) => (! [C:color]: ((! [C0:nat]: (((isPer @ (tree @ B)) @ ((((treeStar @ B) @ BStar) @ C) @ C0)))))))))).
% 1.53/1.28 thf(leaf_type, type, leaf: (!> [A:$tType]: ((tree @ A)))).
% 1.53/1.28 thf(leaf_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((((((treeStar @ A) @ AStar) @ black) @ zero) @ (leaf @ A)) @ (leaf @ A)))))).
% 1.53/1.28 thf(redTree_type, type, rt: (!> [A:$tType]: ((nat > ((tree @ A) > (A > ((tree @ A) > (tree @ A)))))))).
% 1.53/1.28 thf(rt_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [D:(tree @ A),D_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ D) @ D_prime) => (! [D0:A,D0_prime:A]: (((D0 = D0_prime) => (! [D1:(tree @ A),D1_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ D1) @ D1_prime) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ (((((rt @ A) @ N) @ D) @ D0) @ D1)) @ (((((rt @ A) @ N) @ D_prime) @ D0_prime) @ D1_prime))))))))))))))))).
% 1.53/1.28 thf(blackTree_type, type, bt: (!> [A:$tType]: ((nat > (color > (color > ((tree @ A) > (A > ((tree @ A) > (tree @ A)))))))))).
% 1.53/1.28 thf(bt_tp_ax, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [D:(tree @ A),D_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ D) @ D_prime) => (! [D0:A,D0_prime:A]: (((D0 = D0_prime) => (! [D1:(tree @ A),D1_prime:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C2) @ N) @ D1) @ D1_prime) => ((((((treeStar @ A) @ AStar) @ black) @ (suc @ N)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ D) @ D0) @ D1)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ D_prime) @ D0_prime) @ D1_prime))))))))))))))))))))).
% 1.53/1.28 thf(rbt_rev, type, rev: (!> [A:$tType]: ((color > (nat > ((tree @ A) > (tree @ A))))))).
% 1.53/1.28 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))))))))))))).
% 1.53/1.28 thf(red_black, axiom, (! [C:color]: ((((C = red) & (C != black)) | ((C != red) & (C = black)))))).
% 1.53/1.28 thf(peano1, axiom, (! [N:nat]: (((suc @ N) != zero)))).
% 1.53/1.28 thf(peano2, axiom, (! [N:nat]: ((! [M:nat]: (((N != M) => ((suc @ N) != (suc @ M)))))))).
% 1.53/1.28 thf(peano3, axiom, (! [P:(nat > $o)]: (((P @ zero) => ((! [M:nat]: (((P @ M) => (P @ (suc @ M))))) => (! [N:nat]: ((P @ N)))))))).
% 1.53/1.28 thf(rt_cons, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ red) @ N) @ T) @ T) => (? [X:A]: ((? [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T1) @ T1) & (((((((treeStar @ A) @ AStar) @ black) @ N) @ T2) @ T2) & ((((((treeStar @ A) @ AStar) @ red) @ N) @ T) @ (((((rt @ A) @ N) @ T1) @ X) @ T2))))))))))))))))).
% 1.53/1.28 thf(bt_cons, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [N:nat]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T) @ T) => (((~ (((((((treeStar @ A) @ AStar) @ black) @ N) @ T) @ (leaf @ A)))) & (? [X:A]: ((? [M:nat]: ((? [C1:color]: ((? [C2:color]: ((? [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ M) @ T1) @ T1) & (((((((treeStar @ A) @ AStar) @ C2) @ M) @ T2) @ T2) & ((N = (suc @ M)) & ((((((treeStar @ A) @ AStar) @ black) @ N) @ T) @ (((((((bt @ A) @ M) @ C1) @ C2) @ T1) @ X) @ T2)))))))))))))))) | (((((((treeStar @ A) @ AStar) @ black) @ N) @ T) @ (leaf @ A)) & (~ ((? [X:A]: ((? [M:nat]: ((? [C1:color]: ((? [C2:color]: ((? [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ M) @ T1) @ T1) & (((((((treeStar @ A) @ AStar) @ C2) @ M) @ T2) @ T2) & ((N = (suc @ M)) & ((((((treeStar @ A) @ AStar) @ black) @ N) @ T) @ (((((((bt @ A) @ M) @ C1) @ C2) @ T1) @ X) @ T2)))))))))))))))))))))))))))).
% 1.53/1.28 thf(rev_leaf, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((((((treeStar @ A) @ AStar) @ black) @ zero) @ ((((rev @ A) @ black) @ zero) @ (leaf @ A))) @ (leaf @ A)))))).
% 1.53/1.28 thf(rev_bt, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [C1:color]: ((! [C2:color]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C1) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ C2) @ N) @ T2) @ T2) => ((((((treeStar @ A) @ AStar) @ black) @ (suc @ N)) @ ((((rev @ A) @ black) @ (suc @ N)) @ (((((((bt @ A) @ N) @ C1) @ C2) @ T1) @ X) @ T2))) @ (((((((bt @ A) @ N) @ C1) @ C2) @ ((((rev @ A) @ C2) @ N) @ T2)) @ X) @ ((((rev @ A) @ C1) @ N) @ T1))))))))))))))))))).
% 1.53/1.28 thf(rev_rt, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: ((! [N:nat]: ((! [T1:(tree @ A),T2:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ black) @ N) @ T1) @ T1) => (((((((treeStar @ A) @ AStar) @ black) @ N) @ T2) @ T2) => ((((((treeStar @ A) @ AStar) @ red) @ N) @ ((((rev @ A) @ red) @ N) @ (((((rt @ A) @ N) @ T1) @ X) @ T2))) @ (((((rt @ A) @ N) @ ((((rev @ A) @ black) @ N) @ T2)) @ X) @ ((((rev @ A) @ black) @ N) @ T1))))))))))))))).
% 1.53/1.28 thf(bt_base, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => ((((((treeStar @ A) @ AStar) @ black) @ zero) @ ((((rev @ A) @ black) @ zero) @ ((((rev @ A) @ black) @ zero) @ (leaf @ A)))) @ (leaf @ A)))))).
% 1.53/1.28 thf(rt_base, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [X:A]: (((((((treeStar @ A) @ AStar) @ red) @ zero) @ ((((rev @ A) @ red) @ zero) @ ((((rev @ A) @ red) @ zero) @ (((((rt @ A) @ zero) @ (leaf @ A)) @ X) @ (leaf @ A))))) @ (((((rt @ A) @ zero) @ (leaf @ A)) @ X) @ (leaf @ A))))))))).
% 1.53/1.28 thf(zero_height_tree_options, axiom, (! [A:$tType,AStar:(A > (A > $o))]: ((((isPer @ A) @ AStar) => (! [C:color]: ((! [T:(tree @ A)]: ((((((((treeStar @ A) @ AStar) @ C) @ zero) @ T) @ T) => (((C = red) => (? [X:A]: (((((((treeStar @ A) @ AStar) @ C) @ zero) @ T) @ (((((rt @ A) @ zero) @ (leaf @ A)) @ X) @ (leaf @ A)))))) & ((C = black) => ((((((treeStar @ A) @ AStar) @ C) @ zero) @ T) @ (leaf @ A))))))))))))).
% 1.53/1.28 thf(base, conjecture, (! [A:$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)))))))))).
% 1.53/1.28 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2DTF8987.p
% 1.53/1.28 ------------------------
% 1.53/1.28 ---- Cleaned THF ---
% 1.53/1.28 thf(is_per_type,type,
% 1.53/1.28 isPer:
% 1.53/1.28 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.53/1.28
% 1.53/1.28 thf(is_per,definition,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 <=> ( ! [X: A,Y: A] :
% 1.53/1.28 ( ( AStar @ X @ Y )
% 1.53/1.28 => ( AStar @ Y @ X ) )
% 1.53/1.28 & ! [X: A,Y: A,Z: A] :
% 1.53/1.28 ( ( AStar @ X @ Y )
% 1.53/1.28 => ( ( AStar @ Y @ Z )
% 1.53/1.28 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(color_type,type,
% 1.53/1.28 color: $tType ).
% 1.53/1.28
% 1.53/1.28 thf(colorStar,type,
% 1.53/1.28 colorStar: color > color > $o ).
% 1.53/1.28
% 1.53/1.28 thf(colorStar_is_eq,axiom,
% 1.53/1.28 ! [X: color,Y: color] :
% 1.53/1.28 ( ( colorStar @ X @ Y )
% 1.53/1.28 <=> ( X = Y ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(black_type,type,
% 1.53/1.28 black: color ).
% 1.53/1.28
% 1.53/1.28 thf(red_type,type,
% 1.53/1.28 red: color ).
% 1.53/1.28
% 1.53/1.28 thf(nat_type,type,
% 1.53/1.28 nat: $tType ).
% 1.53/1.28
% 1.53/1.28 thf(natStar,type,
% 1.53/1.28 natStar: nat > nat > $o ).
% 1.53/1.28
% 1.53/1.28 thf(natStar_is_eq,axiom,
% 1.53/1.28 ! [X: nat,Y: nat] :
% 1.53/1.28 ( ( natStar @ X @ Y )
% 1.53/1.28 <=> ( X = Y ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(zero_type,type,
% 1.53/1.28 zero: nat ).
% 1.53/1.28
% 1.53/1.28 thf(suc_type,type,
% 1.53/1.28 suc: nat > nat ).
% 1.53/1.28
% 1.53/1.28 thf(tree_type,type,
% 1.53/1.28 tree: $tType > $tType ).
% 1.53/1.28
% 1.53/1.28 thf(treeStar,type,
% 1.53/1.28 treeStar:
% 1.53/1.28 !>[A: $tType] : ( ( A > A > $o ) > color > nat > ( tree @ A ) > ( tree @ A ) > $o ) ).
% 1.53/1.28
% 1.53/1.28 thf('\'treeStar\'_is_per',axiom,
% 1.53/1.28 ! [B: $tType,BStar: B > B > $o] :
% 1.53/1.28 ( ( isPer @ B @ BStar )
% 1.53/1.28 => ! [C: color,C0: nat] : ( isPer @ ( tree @ B ) @ ( treeStar @ B @ BStar @ C @ C0 ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(leaf_type,type,
% 1.53/1.28 leaf:
% 1.53/1.28 !>[A: $tType] : ( tree @ A ) ).
% 1.53/1.28
% 1.53/1.28 thf(leaf_tp_ax,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ( treeStar @ A @ AStar @ black @ zero @ ( leaf @ A ) @ ( leaf @ A ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(redTree_type,type,
% 1.53/1.28 rt:
% 1.53/1.28 !>[A: $tType] : ( nat > ( tree @ A ) > A > ( tree @ A ) > ( tree @ A ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rt_tp_ax,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [N: nat,D: tree @ A,D_prime: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ black @ N @ D @ D_prime )
% 1.53/1.28 => ! [D0: A,D0_prime: A] :
% 1.53/1.28 ( ( D0 = D0_prime )
% 1.53/1.28 => ! [D1: tree @ A,D1_prime: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ black @ N @ D1 @ D1_prime )
% 1.53/1.28 => ( treeStar @ A @ AStar @ red @ N @ ( rt @ A @ N @ D @ D0 @ D1 ) @ ( rt @ A @ N @ D_prime @ D0_prime @ D1_prime ) ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(blackTree_type,type,
% 1.53/1.28 bt:
% 1.53/1.28 !>[A: $tType] : ( nat > color > color > ( tree @ A ) > A > ( tree @ A ) > ( tree @ A ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(bt_tp_ax,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [N: nat,C1: color,C2: color,D: tree @ A,D_prime: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C1 @ N @ D @ D_prime )
% 1.53/1.28 => ! [D0: A,D0_prime: A] :
% 1.53/1.28 ( ( D0 = D0_prime )
% 1.53/1.28 => ! [D1: tree @ A,D1_prime: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C2 @ N @ D1 @ D1_prime )
% 1.53/1.28 => ( 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 ) ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rbt_rev,type,
% 1.53/1.28 rev:
% 1.53/1.28 !>[A: $tType] : ( color > nat > ( tree @ A ) > ( tree @ A ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rev_tp_ax,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [C: color,N: nat,D: tree @ A,D_prime: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C @ N @ D @ D_prime )
% 1.53/1.28 => ( treeStar @ A @ AStar @ C @ N @ ( rev @ A @ C @ N @ D ) @ ( rev @ A @ C @ N @ D_prime ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(red_black,axiom,
% 1.53/1.28 ! [C: color] :
% 1.53/1.28 ( ( ( C = red )
% 1.53/1.28 & ( C != black ) )
% 1.53/1.28 | ( ( C != red )
% 1.53/1.28 & ( C = black ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(peano1,axiom,
% 1.53/1.28 ! [N: nat] :
% 1.53/1.28 ( ( suc @ N )
% 1.53/1.28 != zero ) ).
% 1.53/1.28
% 1.53/1.28 thf(peano2,axiom,
% 1.53/1.28 ! [N: nat,M: nat] :
% 1.53/1.28 ( ( N != M )
% 1.53/1.28 => ( ( suc @ N )
% 1.53/1.28 != ( suc @ M ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(peano3,axiom,
% 1.53/1.28 ! [P: nat > $o] :
% 1.53/1.28 ( ( P @ zero )
% 1.53/1.28 => ( ! [M: nat] :
% 1.53/1.28 ( ( P @ M )
% 1.53/1.28 => ( P @ ( suc @ M ) ) )
% 1.53/1.28 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rt_cons,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [N: nat,T: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ red @ N @ T @ T )
% 1.53/1.28 => ? [X: A,T1: tree @ A,T2: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ black @ N @ T1 @ T1 )
% 1.53/1.28 & ( treeStar @ A @ AStar @ black @ N @ T2 @ T2 )
% 1.53/1.28 & ( treeStar @ A @ AStar @ red @ N @ T @ ( rt @ A @ N @ T1 @ X @ T2 ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(bt_cons,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [N: nat,T: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ black @ N @ T @ T )
% 1.53/1.28 => ( ( ~ ( treeStar @ A @ AStar @ black @ N @ T @ ( leaf @ A ) )
% 1.53/1.28 & ? [X: A,M: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C1 @ M @ T1 @ T1 )
% 1.53/1.28 & ( treeStar @ A @ AStar @ C2 @ M @ T2 @ T2 )
% 1.53/1.28 & ( N
% 1.53/1.28 = ( suc @ M ) )
% 1.53/1.28 & ( treeStar @ A @ AStar @ black @ N @ T @ ( bt @ A @ M @ C1 @ C2 @ T1 @ X @ T2 ) ) ) )
% 1.53/1.28 | ( ( treeStar @ A @ AStar @ black @ N @ T @ ( leaf @ A ) )
% 1.53/1.28 & ~ ? [X: A,M: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C1 @ M @ T1 @ T1 )
% 1.53/1.28 & ( treeStar @ A @ AStar @ C2 @ M @ T2 @ T2 )
% 1.53/1.28 & ( N
% 1.53/1.28 = ( suc @ M ) )
% 1.53/1.28 & ( treeStar @ A @ AStar @ black @ N @ T @ ( bt @ A @ M @ C1 @ C2 @ T1 @ X @ T2 ) ) ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rev_leaf,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ( treeStar @ A @ AStar @ black @ zero @ ( rev @ A @ black @ zero @ ( leaf @ A ) ) @ ( leaf @ A ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rev_bt,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [X: A,N: nat,C1: color,C2: color,T1: tree @ A,T2: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ C1 @ N @ T1 @ T1 )
% 1.53/1.28 => ( ( treeStar @ A @ AStar @ C2 @ N @ T2 @ T2 )
% 1.53/1.28 => ( treeStar @ A @ AStar @ black @ ( suc @ N ) @ ( rev @ A @ black @ ( suc @ 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 ) ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rev_rt,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [X: A,N: nat,T1: tree @ A,T2: tree @ A] :
% 1.53/1.28 ( ( treeStar @ A @ AStar @ black @ N @ T1 @ T1 )
% 1.53/1.28 => ( ( treeStar @ A @ AStar @ black @ N @ T2 @ T2 )
% 1.53/1.28 => ( 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 @ T1 ) ) ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(bt_base,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ( treeStar @ A @ AStar @ black @ zero @ ( rev @ A @ black @ zero @ ( rev @ A @ black @ zero @ ( leaf @ A ) ) ) @ ( leaf @ A ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(rt_base,axiom,
% 1.53/1.28 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.28 ( ( isPer @ A @ AStar )
% 1.53/1.28 => ! [X: A] : ( treeStar @ A @ AStar @ red @ zero @ ( rev @ A @ red @ zero @ ( rev @ A @ red @ zero @ ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) ) @ ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) ) ).
% 1.53/1.28
% 1.53/1.28 thf(zero_height_tree_options,axiom,
% 1.53/1.29 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.29 ( ( isPer @ A @ AStar )
% 1.53/1.29 => ! [C: color,T: tree @ A] :
% 1.53/1.29 ( ( treeStar @ A @ AStar @ C @ zero @ T @ T )
% 1.53/1.29 => ( ( ( C = red )
% 1.53/1.29 => ? [X: A] : ( treeStar @ A @ AStar @ C @ zero @ T @ ( rt @ A @ zero @ ( leaf @ A ) @ X @ ( leaf @ A ) ) ) )
% 1.53/1.29 & ( ( C = black )
% 1.53/1.29 => ( treeStar @ A @ AStar @ C @ zero @ T @ ( leaf @ A ) ) ) ) ) ) ).
% 1.53/1.29
% 1.53/1.29 thf(base,conjecture,
% 1.53/1.29 ! [A: $tType,AStar: A > A > $o] :
% 1.53/1.29 ( ( isPer @ A @ AStar )
% 1.53/1.29 => ! [C: color,T: tree @ A] :
% 1.53/1.29 ( ( treeStar @ A @ AStar @ C @ zero @ T @ T )
% 1.53/1.29 => ( treeStar @ A @ AStar @ C @ zero @ ( rev @ A @ C @ zero @ ( rev @ A @ C @ zero @ T ) ) @ T ) ) ) ).
% 1.53/1.29 ------------------------
% 1.75/1.30 % (9131)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_8987 for (2999ds/4Mi)
% 1.75/1.30 % (9132)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_8987 for (2999ds/27Mi)
% 1.75/1.30 % (9133)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/2Mi)
% 1.75/1.30 % (9135)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_8987 for (2999ds/275Mi)
% 1.75/1.30 % (9129)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/183Mi)
% 1.75/1.30 % (9134)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_8987 for (2999ds/2Mi)
% 1.75/1.30 % (9133)Instruction limit reached!
% 1.75/1.30 % (9133)------------------------------
% 1.75/1.30 % (9133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.30 % (9133)Termination reason: Unknown
% 1.75/1.30 % (9133)Termination phase: shuffling
% 1.75/1.30
% 1.75/1.30 % (9133)Memory used [KB]: 1023
% 1.75/1.30 % (9133)Time elapsed: 0.002 s
% 1.75/1.30 % (9133)Instructions burned: 2 (million)
% 1.75/1.30 % (9133)------------------------------
% 1.75/1.30 % (9133)------------------------------
% 1.75/1.30 % (9134)Instruction limit reached!
% 1.75/1.30 % (9134)------------------------------
% 1.75/1.30 % (9134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.30 % (9134)Termination reason: Unknown
% 1.75/1.30 % (9134)Termination phase: shuffling
% 1.75/1.30
% 1.75/1.30 % (9134)Memory used [KB]: 1023
% 1.75/1.30 % (9134)Time elapsed: 0.002 s
% 1.75/1.30 % (9134)Instructions burned: 2 (million)
% 1.75/1.30 % (9134)------------------------------
% 1.75/1.30 % (9134)------------------------------
% 1.75/1.30 % (9136)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/18Mi)
% 1.75/1.30 % (9131)Instruction limit reached!
% 1.75/1.30 % (9131)------------------------------
% 1.75/1.30 % (9131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.30 % (9131)Termination reason: Unknown
% 1.75/1.30 % (9131)Termination phase: shuffling
% 1.75/1.30
% 1.75/1.30 % (9131)Memory used [KB]: 1023
% 1.75/1.30 % (9131)Time elapsed: 0.003 s
% 1.75/1.30 % (9131)Instructions burned: 5 (million)
% 1.75/1.30 % (9131)------------------------------
% 1.75/1.30 % (9131)------------------------------
% 1.75/1.30 % (9136)Instruction limit reached!
% 1.75/1.30 % (9136)------------------------------
% 1.75/1.30 % (9136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.30 % (9136)Termination reason: Unknown
% 1.75/1.30 % (9136)Termination phase: Property scanning
% 1.75/1.30
% 1.75/1.30 % (9136)Memory used [KB]: 1151
% 1.75/1.30 % (9136)Time elapsed: 0.007 s
% 1.75/1.30 % (9136)Instructions burned: 19 (million)
% 1.75/1.30 % (9136)------------------------------
% 1.75/1.30 % (9136)------------------------------
% 1.75/1.31 % (9132)Instruction limit reached!
% 1.75/1.31 % (9132)------------------------------
% 1.75/1.31 % (9132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.31 % (9132)Termination reason: Unknown
% 1.75/1.31 % (9132)Termination phase: Saturation
% 1.75/1.31
% 1.75/1.31 % (9132)Memory used [KB]: 5628
% 1.75/1.31 % (9132)Time elapsed: 0.010 s
% 1.75/1.31 % (9132)Instructions burned: 28 (million)
% 1.75/1.31 % (9132)------------------------------
% 1.75/1.31 % (9132)------------------------------
% 1.75/1.31 % (9138)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/3Mi)
% 1.75/1.31 % (9139)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_8987 for (2999ds/37Mi)
% 1.75/1.31 % (9140)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_8987 for (2999ds/15Mi)
% 1.75/1.31 % (9138)Instruction limit reached!
% 1.75/1.31 % (9138)------------------------------
% 1.75/1.31 % (9138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.31 % (9138)Termination reason: Unknown
% 1.75/1.31 % (9138)Termination phase: shuffling
% 1.75/1.31
% 1.75/1.31 % (9138)Memory used [KB]: 1023
% 1.75/1.31 % (9138)Time elapsed: 0.002 s
% 1.75/1.31 % (9138)Instructions burned: 4 (million)
% 1.75/1.31 % (9138)------------------------------
% 1.75/1.31 % (9138)------------------------------
% 1.75/1.31 % Exception at run slice level
% 1.75/1.31 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.31 % (9140)Instruction limit reached!
% 1.75/1.31 % (9140)------------------------------
% 1.75/1.31 % (9140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.31 % (9140)Termination reason: Unknown
% 1.75/1.31 % (9140)Termination phase: Property scanning
% 1.75/1.31
% 1.75/1.31 % (9140)Memory used [KB]: 1151
% 1.75/1.31 % (9140)Time elapsed: 0.006 s
% 1.75/1.31 % (9140)Instructions burned: 18 (million)
% 1.75/1.31 % (9140)------------------------------
% 1.75/1.31 % (9140)------------------------------
% 1.75/1.31 % (9143)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_8987 for (2999ds/3Mi)
% 1.75/1.32 % (9145)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_8987 for (2999ds/1041Mi)
% 1.75/1.32 % (9143)Instruction limit reached!
% 1.75/1.32 % (9143)------------------------------
% 1.75/1.32 % (9143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.32 % (9143)Termination reason: Unknown
% 1.75/1.32 % (9143)Termination phase: shuffling
% 1.75/1.32
% 1.75/1.32 % (9143)Memory used [KB]: 1023
% 1.75/1.32 % (9143)Time elapsed: 0.003 s
% 1.75/1.32 % (9143)Instructions burned: 4 (million)
% 1.75/1.32 % (9143)------------------------------
% 1.75/1.32 % (9143)------------------------------
% 1.75/1.32 % Exception at run slice level
% 1.75/1.32 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.32 % (9147)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/7Mi)
% 1.75/1.32 % (9148)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/16Mi)
% 1.75/1.32 % (9147)Instruction limit reached!
% 1.75/1.32 % (9147)------------------------------
% 1.75/1.32 % (9147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.32 % (9147)Termination reason: Unknown
% 1.75/1.32 % (9147)Termination phase: shuffling
% 1.75/1.32
% 1.75/1.32 % (9147)Memory used [KB]: 1023
% 1.75/1.32 % (9147)Time elapsed: 0.003 s
% 1.75/1.32 % (9147)Instructions burned: 7 (million)
% 1.75/1.32 % (9147)------------------------------
% 1.75/1.32 % (9147)------------------------------
% 1.75/1.32 % (9151)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_8987 for (2999ds/3Mi)
% 1.75/1.32 % (9151)Instruction limit reached!
% 1.75/1.32 % (9151)------------------------------
% 1.75/1.32 % (9151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.32 % (9151)Termination reason: Unknown
% 1.75/1.32 % (9151)Termination phase: shuffling
% 1.75/1.32
% 1.75/1.32 % (9151)Memory used [KB]: 1023
% 1.75/1.32 % (9151)Time elapsed: 0.002 s
% 1.75/1.32 % (9151)Instructions burned: 3 (million)
% 1.75/1.32 % (9151)------------------------------
% 1.75/1.32 % (9151)------------------------------
% 1.75/1.32 % (9148)Instruction limit reached!
% 1.75/1.32 % (9148)------------------------------
% 1.75/1.32 % (9148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.32 % (9148)Termination reason: Unknown
% 1.75/1.32 % (9148)Termination phase: Twee Goal Transformation
% 1.75/1.32
% 1.75/1.32 % (9148)Memory used [KB]: 1151
% 1.75/1.32 % (9148)Time elapsed: 0.006 s
% 1.75/1.32 % (9148)Instructions burned: 16 (million)
% 1.75/1.32 % (9148)------------------------------
% 1.75/1.32 % (9148)------------------------------
% 1.75/1.33 % (9154)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/7Mi)
% 1.75/1.33 % (9153)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_8987 for (2999ds/3Mi)
% 1.75/1.33 % (9153)Instruction limit reached!
% 1.75/1.33 % (9153)------------------------------
% 1.75/1.33 % (9153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.33 % (9153)Termination reason: Unknown
% 1.75/1.33 % (9153)Termination phase: shuffling
% 1.75/1.33
% 1.75/1.33 % (9153)Memory used [KB]: 1023
% 1.75/1.33 % (9153)Time elapsed: 0.003 s
% 1.75/1.33 % (9153)Instructions burned: 4 (million)
% 1.75/1.33 % (9153)------------------------------
% 1.75/1.33 % (9153)------------------------------
% 1.75/1.33 % (9154)Instruction limit reached!
% 1.75/1.33 % (9154)------------------------------
% 1.75/1.33 % (9154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.33 % (9154)Termination reason: Unknown
% 1.75/1.33 % (9154)Termination phase: Preprocessing 1
% 1.75/1.33
% 1.75/1.33 % (9154)Memory used [KB]: 1023
% 1.75/1.33 % (9154)Time elapsed: 0.004 s
% 1.75/1.33 % (9154)Instructions burned: 9 (million)
% 1.75/1.33 % (9154)------------------------------
% 1.75/1.33 % (9154)------------------------------
% 1.75/1.33 % (9157)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/3Mi)
% 1.75/1.33 % Exception at run slice level
% 1.75/1.33 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.33 % (9159)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/4Mi)
% 1.75/1.33 % (9160)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/18Mi)
% 1.75/1.34 % (9159)Instruction limit reached!
% 1.75/1.34 % (9159)------------------------------
% 1.75/1.34 % (9159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.34 % (9159)Termination reason: Unknown
% 1.75/1.34 % (9159)Termination phase: shuffling
% 1.75/1.34
% 1.75/1.34 % (9159)Memory used [KB]: 1023
% 1.75/1.34 % (9159)Time elapsed: 0.003 s
% 1.75/1.34 % (9159)Instructions burned: 6 (million)
% 1.75/1.34 % (9159)------------------------------
% 1.75/1.34 % (9159)------------------------------
% 1.75/1.34 % (9163)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/710Mi)
% 1.75/1.34 % (9164)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/6Mi)
% 1.75/1.34 % (9160)Instruction limit reached!
% 1.75/1.34 % (9160)------------------------------
% 1.75/1.34 % (9160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.34 % (9160)Termination reason: Unknown
% 1.75/1.34 % (9160)Termination phase: Saturation
% 1.75/1.34
% 1.75/1.34 % (9160)Memory used [KB]: 5628
% 1.75/1.34 % (9160)Time elapsed: 0.007 s
% 1.75/1.34 % (9160)Instructions burned: 20 (million)
% 1.75/1.34 % (9160)------------------------------
% 1.75/1.34 % (9160)------------------------------
% 1.75/1.34 % (9165)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_8987 for (2999ds/902Mi)
% 1.75/1.34 % (9164)Instruction limit reached!
% 1.75/1.34 % (9164)------------------------------
% 1.75/1.34 % (9164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.34 % (9164)Termination reason: Unknown
% 1.75/1.34 % (9164)Termination phase: shuffling
% 1.75/1.34
% 1.75/1.34 % (9164)Memory used [KB]: 1023
% 1.75/1.34 % (9164)Time elapsed: 0.003 s
% 1.75/1.34 % (9164)Instructions burned: 6 (million)
% 1.75/1.34 % (9164)------------------------------
% 1.75/1.34 % (9164)------------------------------
% 1.75/1.34 % (9169)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_8987 for (2999ds/21Mi)
% 1.75/1.35 % (9171)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/5Mi)
% 1.75/1.35 % (9172)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_8987 for (2999ds/6Mi)
% 1.75/1.35 % Exception at run slice level
% 1.75/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.35 % Exception at run slice level
% 1.75/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.35 % (9169)Instruction limit reached!
% 1.75/1.35 % (9169)------------------------------
% 1.75/1.35 % (9169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.35 % (9169)Termination reason: Unknown
% 1.75/1.35 % (9169)Termination phase: Saturation
% 1.75/1.35
% 1.75/1.35 % (9169)Memory used [KB]: 1279
% 1.75/1.35 % (9169)Time elapsed: 0.008 s
% 1.75/1.35 % (9169)Instructions burned: 24 (million)
% 1.75/1.35 % (9169)------------------------------
% 1.75/1.35 % (9169)------------------------------
% 1.75/1.36 % (9129)Instruction limit reached!
% 1.75/1.36 % (9129)------------------------------
% 1.75/1.36 % (9129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.36 % (9129)Termination reason: Unknown
% 1.75/1.36 % (9129)Termination phase: Saturation
% 1.75/1.36
% 1.75/1.36 % (9129)Memory used [KB]: 6012
% 1.75/1.36 % (9129)Time elapsed: 0.059 s
% 1.75/1.36 % (9129)Instructions burned: 183 (million)
% 1.75/1.36 % (9129)------------------------------
% 1.75/1.36 % (9129)------------------------------
% 1.75/1.36 % (9174)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/377Mi)
% 1.75/1.36 % (9175)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_8987 for (2999ds/779Mi)
% 1.75/1.36 % (9177)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_8987 for (2999ds/19Mi)
% 1.75/1.36 % Exception at run slice level
% 1.75/1.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.36 % Exception at run slice level
% 1.75/1.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.36 % (9179)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/879Mi)
% 1.75/1.37 % (9183)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/17Mi)
% 1.75/1.37 % (9185)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/3Mi)
% 1.75/1.37 % (9185)Instruction limit reached!
% 1.75/1.37 % (9185)------------------------------
% 1.75/1.37 % (9185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.37 % (9185)Termination reason: Unknown
% 1.75/1.37 % (9185)Termination phase: shuffling
% 1.75/1.37
% 1.75/1.37 % (9185)Memory used [KB]: 1023
% 1.75/1.37 % (9185)Time elapsed: 0.002 s
% 1.75/1.37 % (9185)Instructions burned: 4 (million)
% 1.75/1.37 % (9185)------------------------------
% 1.75/1.37 % (9185)------------------------------
% 1.75/1.37 % (9135)Instruction limit reached!
% 1.75/1.37 % (9135)------------------------------
% 1.75/1.37 % (9135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.37 % (9135)Termination reason: Unknown
% 1.75/1.37 % (9135)Termination phase: Saturation
% 1.75/1.37
% 1.75/1.37 % (9135)Memory used [KB]: 5884
% 1.75/1.37 % (9135)Time elapsed: 0.077 s
% 1.75/1.37 % (9135)Instructions burned: 277 (million)
% 1.75/1.37 % (9135)------------------------------
% 1.75/1.37 % (9135)------------------------------
% 1.75/1.38 % (9183)Instruction limit reached!
% 1.75/1.38 % (9183)------------------------------
% 1.75/1.38 % (9183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.38 % (9183)Termination reason: Unknown
% 1.75/1.38 % (9183)Termination phase: Property scanning
% 1.75/1.38
% 1.75/1.38 % (9183)Memory used [KB]: 1151
% 1.75/1.38 % (9183)Time elapsed: 0.006 s
% 1.75/1.38 % (9183)Instructions burned: 18 (million)
% 1.75/1.38 % (9183)------------------------------
% 1.75/1.38 % (9183)------------------------------
% 1.75/1.38 % (9189)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/30Mi)
% 1.75/1.38 % (9190)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/127Mi)
% 1.75/1.38 % (9191)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_8987 for (2999ds/100Mi)
% 1.75/1.39 % (9189)Instruction limit reached!
% 1.75/1.39 % (9189)------------------------------
% 1.75/1.39 % (9189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.39 % (9189)Termination reason: Unknown
% 1.75/1.39 % (9189)Termination phase: Saturation
% 1.75/1.39
% 1.75/1.39 % (9189)Memory used [KB]: 5756
% 1.75/1.39 % (9189)Time elapsed: 0.010 s
% 1.75/1.39 % (9189)Instructions burned: 31 (million)
% 1.75/1.39 % (9189)------------------------------
% 1.75/1.39 % (9189)------------------------------
% 1.75/1.40 % (9197)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_8987 for (2998ds/3Mi)
% 1.75/1.40 % Exception at run slice level
% 1.75/1.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.41 % (9205)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_8987 for (2998ds/20Mi)
% 1.75/1.41 % (9191)Instruction limit reached!
% 1.75/1.41 % (9191)------------------------------
% 1.75/1.41 % (9191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.41 % (9191)Termination reason: Unknown
% 1.75/1.41 % (9191)Termination phase: Saturation
% 1.75/1.41
% 1.75/1.41 % (9191)Memory used [KB]: 6012
% 1.75/1.41 % (9191)Time elapsed: 0.030 s
% 1.75/1.41 % (9191)Instructions burned: 102 (million)
% 1.75/1.41 % (9191)------------------------------
% 1.75/1.41 % (9191)------------------------------
% 1.75/1.42 % (9205)Instruction limit reached!
% 1.75/1.42 % (9205)------------------------------
% 1.75/1.42 % (9205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.42 % (9205)Termination reason: Unknown
% 1.75/1.42 % (9205)Termination phase: Saturation
% 1.75/1.42
% 1.75/1.42 % (9205)Memory used [KB]: 5628
% 1.75/1.42 % (9205)Time elapsed: 0.008 s
% 1.75/1.42 % (9205)Instructions burned: 22 (million)
% 1.75/1.42 % (9205)------------------------------
% 1.75/1.42 % (9205)------------------------------
% 1.75/1.42 % (9190)Instruction limit reached!
% 1.75/1.42 % (9190)------------------------------
% 1.75/1.42 % (9190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.42 % (9190)Termination reason: Unknown
% 1.75/1.42 % (9190)Termination phase: Saturation
% 1.75/1.42
% 1.75/1.42 % (9190)Memory used [KB]: 6396
% 1.75/1.42 % (9190)Time elapsed: 0.062 s
% 1.75/1.42 % (9190)Instructions burned: 128 (million)
% 1.75/1.42 % (9190)------------------------------
% 1.75/1.42 % (9190)------------------------------
% 1.75/1.42 % (9214)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_8987 for (2998ds/86Mi)
% 1.75/1.43 % (9215)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_8987 for (2998ds/107Mi)
% 1.75/1.43 % (9216)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_8987 for (2998ds/39Mi)
% 1.75/1.43 % Exception at run slice level
% 1.75/1.43 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.44 % (9218)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_8987 for (2998ds/448Mi)
% 1.75/1.44 % Exception at run slice level
% 1.75/1.44 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.45 % (9214)Instruction limit reached!
% 1.75/1.45 % (9214)------------------------------
% 1.75/1.45 % (9214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.45 % (9214)Termination reason: Unknown
% 1.75/1.45 % (9214)Termination phase: Saturation
% 1.75/1.45
% 1.75/1.45 % (9214)Memory used [KB]: 6140
% 1.75/1.45 % (9214)Time elapsed: 0.028 s
% 1.75/1.45 % (9214)Instructions burned: 87 (million)
% 1.75/1.45 % (9214)------------------------------
% 1.75/1.45 % (9214)------------------------------
% 1.75/1.45 % (9229)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_8987 for (2998ds/46Mi)
% 1.75/1.46 % (9235)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_8987 for (2998ds/98Mi)
% 1.75/1.46 % (9215)Instruction limit reached!
% 1.75/1.46 % (9215)------------------------------
% 1.75/1.46 % (9215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.46 % (9215)Termination reason: Unknown
% 1.75/1.46 % (9215)Termination phase: Saturation
% 1.75/1.46
% 1.75/1.46 % (9215)Memory used [KB]: 6012
% 1.75/1.46 % (9215)Time elapsed: 0.035 s
% 1.75/1.46 % (9215)Instructions burned: 108 (million)
% 1.75/1.46 % (9215)------------------------------
% 1.75/1.46 % (9215)------------------------------
% 1.75/1.46 % Exception at run slice level
% 1.75/1.46 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
% 1.75/1.47 % (9229)Instruction limit reached!
% 1.75/1.47 % (9229)------------------------------
% 1.75/1.47 % (9229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.47 % (9229)Termination reason: Unknown
% 1.75/1.47 % (9229)Termination phase: Saturation
% 1.75/1.47
% 1.75/1.47 % (9229)Memory used [KB]: 5884
% 1.75/1.47 % (9229)Time elapsed: 0.015 s
% 1.75/1.47 % (9229)Instructions burned: 48 (million)
% 1.75/1.47 % (9229)------------------------------
% 1.75/1.47 % (9229)------------------------------
% 1.75/1.47 % (9242)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_8987 for (2998ds/507Mi)
% 1.75/1.47 % (9243)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_8987 for (2998ds/149Mi)
% 1.75/1.47 % (9246)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_8987 for (2998ds/39Mi)
% 1.75/1.48 % (9174)Refutation not found, non-redundant clauses discarded% (9174)------------------------------
% 1.75/1.48 % (9174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.48 % (9174)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.75/1.48
% 1.75/1.48 % (9174)Memory used [KB]: 6140
% 1.75/1.48 % (9174)Time elapsed: 0.123 s
% 1.75/1.48 % (9174)Instructions burned: 375 (million)
% 1.75/1.48 % (9174)------------------------------
% 1.75/1.48 % (9174)------------------------------
% 1.75/1.49 % (9246)Instruction limit reached!
% 1.75/1.49 % (9246)------------------------------
% 1.75/1.49 % (9246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.49 % (9246)Termination reason: Unknown
% 1.75/1.49 % (9246)Termination phase: Saturation
% 1.75/1.49
% 1.75/1.49 % (9246)Memory used [KB]: 5756
% 1.75/1.49 % (9246)Time elapsed: 0.013 s
% 1.75/1.49 % (9246)Instructions burned: 41 (million)
% 1.75/1.49 % (9246)------------------------------
% 1.75/1.49 % (9246)------------------------------
% 1.75/1.49 % (9248)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_8987 for (2998ds/6Mi)
% 1.75/1.49 % Exception at run slice level
% 1.75/1.49 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
% 1.75/1.50 % (9257)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_8987 for (2997ds/1087Mi)
% 1.75/1.50 % (9261)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/47Mi)
% 1.75/1.52 % (9261)Instruction limit reached!
% 1.75/1.52 % (9261)------------------------------
% 1.75/1.52 % (9261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.52 % (9261)Termination reason: Unknown
% 1.75/1.52 % (9261)Termination phase: Saturation
% 1.75/1.52
% 1.75/1.52 % (9261)Memory used [KB]: 5756
% 1.75/1.52 % (9261)Time elapsed: 0.016 s
% 1.75/1.52 % (9261)Instructions burned: 47 (million)
% 1.75/1.52 % (9261)------------------------------
% 1.75/1.52 % (9261)------------------------------
% 1.75/1.52 % (9243)Instruction limit reached!
% 1.75/1.52 % (9243)------------------------------
% 1.75/1.52 % (9243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.52 % (9243)Termination reason: Unknown
% 1.75/1.52 % (9243)Termination phase: Saturation
% 1.75/1.52
% 1.75/1.52 % (9243)Memory used [KB]: 6140
% 1.75/1.52 % (9243)Time elapsed: 0.048 s
% 1.75/1.52 % (9243)Instructions burned: 149 (million)
% 1.75/1.52 % (9243)------------------------------
% 1.75/1.52 % (9243)------------------------------
% 1.75/1.53 % (9270)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_8987 for (2997ds/44Mi)
% 1.75/1.53 % Exception at run slice level
% 1.75/1.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.53 % (9272)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_8987 for (2997ds/432Mi)
% 1.75/1.53 % Exception at run slice level
% 1.75/1.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.53 % (9278)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/62Mi)
% 1.75/1.54 % Exception at run slice level
% 1.75/1.54 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
% 1.75/1.54 % (9280)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_8987 for (2997ds/31Mi)
% 1.75/1.55 % (9280)Instruction limit reached!
% 1.75/1.55 % (9280)------------------------------
% 1.75/1.55 % (9280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.55 % (9280)Termination reason: Unknown
% 1.75/1.55 % (9280)Termination phase: Saturation
% 1.75/1.55
% 1.75/1.55 % (9280)Memory used [KB]: 5756
% 1.75/1.55 % (9280)Time elapsed: 0.010 s
% 1.75/1.55 % (9280)Instructions burned: 31 (million)
% 1.75/1.55 % (9280)------------------------------
% 1.75/1.55 % (9280)------------------------------
% 1.75/1.55 % (9284)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/96Mi)
% 1.75/1.55 % (9163)Instruction limit reached!
% 1.75/1.55 % (9163)------------------------------
% 1.75/1.55 % (9163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.55 % (9163)Termination reason: Unknown
% 1.75/1.55 % (9163)Termination phase: Saturation
% 1.75/1.55
% 1.75/1.55 % (9163)Memory used [KB]: 7291
% 1.75/1.55 % (9163)Time elapsed: 0.218 s
% 1.75/1.55 % (9163)Instructions burned: 711 (million)
% 1.75/1.55 % (9163)------------------------------
% 1.75/1.55 % (9163)------------------------------
% 1.75/1.56 % (9287)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_8987 for (2997ds/453Mi)
% 1.75/1.56 % Exception at run slice level
% 1.75/1.56 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.56 % (9292)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_8987 for (2997ds/71Mi)
% 1.75/1.57 % (9294)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/83Mi)
% 1.75/1.58 % (9284)Instruction limit reached!
% 1.75/1.58 % (9284)------------------------------
% 1.75/1.58 % (9284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.58 % (9284)Termination reason: Unknown
% 1.75/1.58 % (9284)Termination phase: Saturation
% 1.75/1.58
% 1.75/1.58 % (9284)Memory used [KB]: 5756
% 1.75/1.58 % (9284)Time elapsed: 0.032 s
% 1.75/1.58 % (9284)Instructions burned: 97 (million)
% 1.75/1.58 % (9284)------------------------------
% 1.75/1.58 % (9284)------------------------------
% 1.75/1.59 % (9292)Instruction limit reached!
% 1.75/1.59 % (9292)------------------------------
% 1.75/1.59 % (9292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.59 % (9292)Termination reason: Unknown
% 1.75/1.59 % (9292)Termination phase: Saturation
% 1.75/1.59
% 1.75/1.59 % (9292)Memory used [KB]: 6012
% 1.75/1.59 % (9292)Time elapsed: 0.023 s
% 1.75/1.59 % (9292)Instructions burned: 71 (million)
% 1.75/1.59 % (9292)------------------------------
% 1.75/1.59 % (9292)------------------------------
% 1.75/1.59 % (9300)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/11Mi)
% 1.75/1.59 % Exception at run slice level
% 1.75/1.59 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.59 % (9294)Instruction limit reached!
% 1.75/1.59 % (9294)------------------------------
% 1.75/1.59 % (9294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.59 % (9294)Termination reason: Unknown
% 1.75/1.59 % (9294)Termination phase: Saturation
% 1.75/1.59
% 1.75/1.59 % (9294)Memory used [KB]: 6140
% 1.75/1.59 % (9294)Time elapsed: 0.026 s
% 1.75/1.59 % (9294)Instructions burned: 84 (million)
% 1.75/1.59 % (9294)------------------------------
% 1.75/1.59 % (9294)------------------------------
% 1.75/1.59 % (9303)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_8987 for (2997ds/41Mi)
% 1.75/1.60 % Exception at run slice level
% 1.75/1.60 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
% 1.75/1.60 % (9304)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/6Mi)
% 1.75/1.60 % (9304)Instruction limit reached!
% 1.75/1.60 % (9304)------------------------------
% 1.75/1.60 % (9304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.60 % (9304)Termination reason: Unknown
% 1.75/1.60 % (9304)Termination phase: shuffling
% 1.75/1.60
% 1.75/1.60 % (9304)Memory used [KB]: 1023
% 1.75/1.60 % (9304)Time elapsed: 0.003 s
% 1.75/1.60 % (9304)Instructions burned: 6 (million)
% 1.75/1.60 % (9304)------------------------------
% 1.75/1.60 % (9304)------------------------------
% 1.75/1.60 % (9306)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_8987 for (2997ds/150Mi)
% 1.75/1.60 % (9310)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_8987 for (2996ds/343Mi)
% 1.75/1.61 % (9312)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_8987 for (2996ds/109Mi)
% 1.75/1.61 % (9165)Instruction limit reached!
% 1.75/1.61 % (9165)------------------------------
% 1.75/1.61 % (9165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.61 % (9165)Termination reason: Unknown
% 1.75/1.61 % (9165)Termination phase: Saturation
% 1.75/1.61
% 1.75/1.61 % (9165)Memory used [KB]: 7419
% 1.75/1.61 % (9165)Time elapsed: 0.272 s
% 1.75/1.61 % (9165)Instructions burned: 904 (million)
% 1.75/1.61 % (9165)------------------------------
% 1.75/1.61 % (9165)------------------------------
% 1.75/1.62 % (9318)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_8987 for (2996ds/253Mi)
% 1.75/1.62 % (9242)Instruction limit reached!
% 1.75/1.62 % (9242)------------------------------
% 1.75/1.62 % (9242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.62 % (9242)Termination reason: Unknown
% 1.75/1.62 % (9242)Termination phase: Saturation
% 1.75/1.62
% 1.75/1.62 % (9242)Memory used [KB]: 6524
% 1.75/1.62 % (9242)Time elapsed: 0.154 s
% 1.75/1.62 % (9242)Instructions burned: 509 (million)
% 1.75/1.62 % (9242)------------------------------
% 1.75/1.62 % (9242)------------------------------
% 1.75/1.63 % (9321)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_8987 for (2996ds/140Mi)
% 1.75/1.63 % (9179)Instruction limit reached!
% 1.75/1.63 % (9179)------------------------------
% 1.75/1.63 % (9179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.63 % (9179)Termination reason: Unknown
% 1.75/1.63 % (9179)Termination phase: Saturation
% 1.75/1.63
% 1.75/1.63 % (9179)Memory used [KB]: 6524
% 1.75/1.63 % (9179)Time elapsed: 0.289 s
% 1.75/1.63 % (9179)Instructions burned: 881 (million)
% 1.75/1.63 % (9179)------------------------------
% 1.75/1.63 % (9179)------------------------------
% 1.75/1.64 % (9325)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_8987 for (2996ds/614Mi)
% 1.75/1.64 % (9312)Instruction limit reached!
% 1.75/1.64 % (9312)------------------------------
% 1.75/1.64 % (9312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.64 % (9312)Termination reason: Unknown
% 1.75/1.64 % (9312)Termination phase: Saturation
% 1.75/1.64
% 1.75/1.64 % (9312)Memory used [KB]: 5884
% 1.75/1.64 % (9312)Time elapsed: 0.036 s
% 1.75/1.64 % (9312)Instructions burned: 111 (million)
% 1.75/1.64 % (9312)------------------------------
% 1.75/1.64 % (9312)------------------------------
% 1.75/1.65 % (9306)Instruction limit reached!
% 1.75/1.65 % (9306)------------------------------
% 1.75/1.65 % (9306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.65 % (9306)Termination reason: Unknown
% 1.75/1.65 % (9306)Termination phase: Saturation
% 1.75/1.65
% 1.75/1.65 % (9306)Memory used [KB]: 6140
% 1.75/1.65 % (9306)Time elapsed: 0.049 s
% 1.75/1.65 % (9306)Instructions burned: 150 (million)
% 1.75/1.65 % (9306)------------------------------
% 1.75/1.65 % (9306)------------------------------
% 1.75/1.65 % (9329)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_8987 for (2996ds/202Mi)
% 1.75/1.66 % (9331)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_8987 for (2996ds/339Mi)
% 1.75/1.66 % (9329)Refutation not found, incomplete strategy
% 1.75/1.66 % (9329)------------------------------
% 1.75/1.66 % (9329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.66 % (9329)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.66
% 1.75/1.66
% 1.75/1.66 % (9329)Memory used [KB]: 5756
% 1.75/1.66 % (9329)Time elapsed: 0.010 s
% 1.75/1.66 % (9329)Instructions burned: 31 (million)
% 1.75/1.66 % (9329)------------------------------
% 1.75/1.66 % (9329)------------------------------
% 1.75/1.67 % (9335)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_8987 for (2996ds/283Mi)
% 1.75/1.67 % Exception at run slice level
% 1.75/1.67 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.68 % (9321)Instruction limit reached!
% 1.75/1.68 % (9321)------------------------------
% 1.75/1.68 % (9321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.68 % (9321)Termination reason: Unknown
% 1.75/1.68 % (9321)Termination phase: Saturation
% 1.75/1.68
% 1.75/1.68 % (9321)Memory used [KB]: 6268
% 1.75/1.68 % (9321)Time elapsed: 0.045 s
% 1.75/1.68 % (9321)Instructions burned: 142 (million)
% 1.75/1.68 % (9321)------------------------------
% 1.75/1.68 % (9321)------------------------------
% 1.75/1.68 % (9338)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_8987 for (2996ds/134Mi)
% 1.75/1.69 % (9339)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_8987 for (2996ds/298Mi)
% 1.75/1.69 % Exception at run slice level
% 1.75/1.69 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.70 % (9318)Instruction limit reached!
% 1.75/1.70 % (9318)------------------------------
% 1.75/1.70 % (9318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.70 % (9318)Termination reason: Unknown
% 1.75/1.70 % (9318)Termination phase: Saturation
% 1.75/1.70
% 1.75/1.70 % (9318)Memory used [KB]: 6012
% 1.75/1.70 % (9318)Time elapsed: 0.077 s
% 1.75/1.70 % (9318)Instructions burned: 253 (million)
% 1.75/1.70 % (9318)------------------------------
% 1.75/1.70 % (9318)------------------------------
% 1.75/1.70 % (9344)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_8987 for (2996ds/192Mi)
% 1.75/1.71 % (9349)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_8987 for (2996ds/258Mi)
% 1.75/1.71 % (9310)Instruction limit reached!
% 1.75/1.71 % (9310)------------------------------
% 1.75/1.71 % (9310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.71 % (9310)Termination reason: Unknown
% 1.75/1.71 % (9310)Termination phase: Saturation
% 1.75/1.71
% 1.75/1.71 % (9310)Memory used [KB]: 6140
% 1.75/1.71 % (9310)Time elapsed: 0.108 s
% 1.75/1.71 % (9310)Instructions burned: 345 (million)
% 1.75/1.71 % (9310)------------------------------
% 1.75/1.71 % (9310)------------------------------
% 1.75/1.72 % (9355)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/90Mi)
% 1.75/1.73 % (9338)Instruction limit reached!
% 1.75/1.73 % (9338)------------------------------
% 1.75/1.73 % (9338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.73 % (9338)Termination reason: Unknown
% 1.75/1.73 % (9338)Termination phase: Saturation
% 1.75/1.73
% 1.75/1.73 % (9338)Memory used [KB]: 6012
% 1.75/1.73 % (9338)Time elapsed: 0.066 s
% 1.75/1.73 % (9338)Instructions burned: 136 (million)
% 1.75/1.73 % (9338)------------------------------
% 1.75/1.73 % (9338)------------------------------
% 1.75/1.74 % (9359)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/231Mi)
% 1.75/1.74 % Exception at run slice level
% 1.75/1.74 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.75 % (9361)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/458Mi)
% 1.75/1.75 % (9355)Instruction limit reached!
% 1.75/1.75 % (9355)------------------------------
% 1.75/1.75 % (9355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.75 % (9355)Termination reason: Unknown
% 1.75/1.75 % (9355)Termination phase: Saturation
% 1.75/1.75
% 1.75/1.75 % (9355)Memory used [KB]: 6012
% 1.75/1.75 % (9355)Time elapsed: 0.050 s
% 1.75/1.75 % (9355)Instructions burned: 90 (million)
% 1.75/1.75 % (9355)------------------------------
% 1.75/1.75 % (9355)------------------------------
% 1.75/1.75 % (9344)Instruction limit reached!
% 1.75/1.75 % (9344)------------------------------
% 1.75/1.75 % (9344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.75 % (9344)Termination reason: Unknown
% 1.75/1.75 % (9344)Termination phase: Saturation
% 1.75/1.75
% 1.75/1.75 % (9344)Memory used [KB]: 6396
% 1.75/1.75 % (9344)Time elapsed: 0.057 s
% 1.75/1.75 % (9344)Instructions burned: 193 (million)
% 1.75/1.75 % (9344)------------------------------
% 1.75/1.75 % (9344)------------------------------
% 1.75/1.76 % (9367)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_8987 for (2995ds/31Mi)
% 1.75/1.76 % (9370)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/297Mi)
% 1.75/1.76 % (9331)Instruction limit reached!
% 1.75/1.76 % (9331)------------------------------
% 1.75/1.76 % (9331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.76 % (9331)Termination reason: Unknown
% 1.75/1.76 % (9331)Termination phase: Saturation
% 1.75/1.76
% 1.75/1.76 % (9331)Memory used [KB]: 6524
% 1.75/1.76 % (9331)Time elapsed: 0.107 s
% 1.75/1.76 % (9331)Instructions burned: 341 (million)
% 1.75/1.76 % (9331)------------------------------
% 1.75/1.76 % (9331)------------------------------
% 1.75/1.76 % Exception at run slice level
% 1.75/1.76 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.77 % (9367)Instruction limit reached!
% 1.75/1.77 % (9367)------------------------------
% 1.75/1.77 % (9367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.77 % (9367)Termination reason: Unknown
% 1.75/1.77 % (9367)Termination phase: Saturation
% 1.75/1.77
% 1.75/1.77 % (9367)Memory used [KB]: 5756
% 1.75/1.77 % (9367)Time elapsed: 0.011 s
% 1.75/1.77 % (9367)Instructions burned: 32 (million)
% 1.75/1.77 % (9367)------------------------------
% 1.75/1.77 % (9367)------------------------------
% 1.75/1.77 % (9377)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/987Mi)
% 1.75/1.77 % (9378)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/182Mi)
% 1.75/1.77 % Exception at run slice level
% 1.75/1.77 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.78 % (9382)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/182Mi)
% 1.75/1.78 % (9349)Instruction limit reached!
% 1.75/1.78 % (9349)------------------------------
% 1.75/1.78 % (9349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.78 % (9349)Termination reason: Unknown
% 1.75/1.78 % (9349)Termination phase: Saturation
% 1.75/1.78
% 1.75/1.78 % (9349)Memory used [KB]: 6524
% 1.75/1.78 % (9349)Time elapsed: 0.100 s
% 1.75/1.78 % (9349)Instructions burned: 258 (million)
% 1.75/1.78 % (9349)------------------------------
% 1.75/1.78 % (9349)------------------------------
% 1.75/1.78 % (9386)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/154Mi)
% 1.75/1.79 % Exception at run slice level
% 1.75/1.79 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.79 % (9392)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_8987 for (2995ds/79Mi)
% 1.75/1.79 % (9394)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/216Mi)
% 1.75/1.80 % Exception at run slice level
% 1.75/1.80 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.80 % (9402)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/114Mi)
% 1.75/1.82 % (9392)Instruction limit reached!
% 1.75/1.82 % (9392)------------------------------
% 1.75/1.82 % (9392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.82 % (9392)Termination reason: Unknown
% 1.75/1.82 % (9392)Termination phase: Saturation
% 1.75/1.82
% 1.75/1.82 % (9392)Memory used [KB]: 6012
% 1.75/1.82 % (9392)Time elapsed: 0.027 s
% 1.75/1.82 % (9392)Instructions burned: 81 (million)
% 1.75/1.82 % (9392)------------------------------
% 1.75/1.82 % (9392)------------------------------
% 1.75/1.82 % (9257)Instruction limit reached!
% 1.75/1.82 % (9257)------------------------------
% 1.75/1.82 % (9257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.82 % (9257)Termination reason: Unknown
% 1.75/1.82 % (9257)Termination phase: Saturation
% 1.75/1.82
% 1.75/1.82 % (9257)Memory used [KB]: 7803
% 1.75/1.82 % (9257)Time elapsed: 0.329 s
% 1.75/1.82 % (9257)Instructions burned: 1088 (million)
% 1.75/1.82 % (9257)------------------------------
% 1.75/1.82 % (9257)------------------------------
% 1.75/1.83 % (9409)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/922Mi)
% 1.75/1.83 % (9378)Instruction limit reached!
% 1.75/1.83 % (9378)------------------------------
% 1.75/1.83 % (9378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.83 % (9378)Termination reason: Unknown
% 1.75/1.83 % (9378)Termination phase: Saturation
% 1.75/1.83
% 1.75/1.83 % (9378)Memory used [KB]: 6012
% 1.75/1.83 % (9378)Time elapsed: 0.058 s
% 1.75/1.83 % (9378)Instructions burned: 183 (million)
% 1.75/1.83 % (9378)------------------------------
% 1.75/1.83 % (9378)------------------------------
% 1.75/1.83 % (9412)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/182Mi)
% 1.75/1.83 % (9382)Instruction limit reached!
% 1.75/1.83 % (9382)------------------------------
% 1.75/1.83 % (9382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.83 % (9382)Termination reason: Unknown
% 1.75/1.83 % (9382)Termination phase: Saturation
% 1.75/1.83
% 1.75/1.83 % (9382)Memory used [KB]: 6012
% 1.75/1.83 % (9382)Time elapsed: 0.058 s
% 1.75/1.83 % (9382)Instructions burned: 182 (million)
% 1.75/1.83 % (9382)------------------------------
% 1.75/1.83 % (9382)------------------------------
% 1.75/1.84 % Exception at run slice level
% 1.75/1.84 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.84 % (9325)Instruction limit reached!
% 1.75/1.84 % (9325)------------------------------
% 1.75/1.84 % (9325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.84 % (9325)Termination reason: Unknown
% 1.75/1.84 % (9325)Termination phase: Saturation
% 1.75/1.84
% 1.75/1.84 % (9325)Memory used [KB]: 7291
% 1.75/1.84 % (9325)Time elapsed: 0.195 s
% 1.75/1.84 % (9325)Instructions burned: 616 (million)
% 1.75/1.84 % (9325)------------------------------
% 1.75/1.84 % (9325)------------------------------
% 1.75/1.84 % (9413)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/164Mi)
% 1.75/1.84 % (9402)Instruction limit reached!
% 1.75/1.84 % (9402)------------------------------
% 1.75/1.84 % (9402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.84 % (9402)Termination reason: Unknown
% 1.75/1.84 % (9402)Termination phase: Saturation
% 1.75/1.84
% 1.75/1.84 % (9402)Memory used [KB]: 6140
% 1.75/1.84 % (9402)Time elapsed: 0.036 s
% 1.75/1.84 % (9402)Instructions burned: 114 (million)
% 1.75/1.84 % (9402)------------------------------
% 1.75/1.84 % (9402)------------------------------
% 1.75/1.84 % (9414)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/50Mi)
% 1.75/1.84 % (9415)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/368Mi)
% 1.75/1.84 % (9416)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/1021Mi)
% 1.75/1.85 % Exception at run slice level
% 1.75/1.85 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.85 % (9413)Refutation not found, incomplete strategy
% 1.75/1.85 % (9413)------------------------------
% 1.75/1.85 % (9413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.85 % (9413)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.85
% 1.75/1.85
% 1.75/1.85 % (9413)Memory used [KB]: 1279
% 1.75/1.85 % (9413)Time elapsed: 0.008 s
% 1.75/1.85 % (9413)Instructions burned: 24 (million)
% 1.75/1.85 % (9413)------------------------------
% 1.75/1.85 % (9413)------------------------------
% 1.75/1.85 % (9417)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/267Mi)
% 1.75/1.85 % Exception at run slice level
% 1.75/1.85 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.85 % (9418)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/204Mi)
% 1.75/1.86 % (9419)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/26Mi)
% 1.75/1.86 % Exception at run slice level
% 1.75/1.86 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.86 % (9420)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/53Mi)
% 1.75/1.86 % Exception at run slice level
% 1.75/1.86 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.87 % (9421)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/4436Mi)
% 1.75/1.87 % (9422)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_8987 for (2994ds/1539Mi)
% 1.75/1.89 % (9361)Instruction limit reached!
% 1.75/1.89 % (9361)------------------------------
% 1.75/1.89 % (9361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.89 % (9361)Termination reason: Unknown
% 1.75/1.89 % (9361)Termination phase: Saturation
% 1.75/1.89
% 1.75/1.89 % (9361)Memory used [KB]: 6524
% 1.75/1.89 % (9361)Time elapsed: 0.145 s
% 1.75/1.89 % (9361)Instructions burned: 459 (million)
% 1.75/1.89 % (9361)------------------------------
% 1.75/1.89 % (9361)------------------------------
% 1.75/1.90 % (9423)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_8987 for (2993ds/408Mi)
% 1.75/1.92 % (9418)Instruction limit reached!
% 1.75/1.92 % (9418)------------------------------
% 1.75/1.92 % (9418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.92 % (9418)Termination reason: Unknown
% 1.75/1.92 % (9418)Termination phase: Saturation
% 1.75/1.92
% 1.75/1.92 % (9418)Memory used [KB]: 6140
% 1.75/1.92 % (9418)Time elapsed: 0.065 s
% 1.75/1.92 % (9418)Instructions burned: 205 (million)
% 1.75/1.92 % (9418)------------------------------
% 1.75/1.92 % (9418)------------------------------
% 1.75/1.93 % (9424)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_8987 for (2993ds/5205Mi)
% 1.75/1.93 % Exception at run slice level
% 1.75/1.93 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.75/1.94 % (9425)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_8987 for (2993ds/1913Mi)
% 1.75/1.96 % (9415)Instruction limit reached!
% 1.75/1.96 % (9415)------------------------------
% 1.75/1.96 % (9415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.96 % (9415)Termination reason: Unknown
% 1.75/1.96 % (9415)Termination phase: Saturation
% 1.75/1.96
% 1.75/1.96 % (9415)Memory used [KB]: 6908
% 1.75/1.96 % (9415)Time elapsed: 0.115 s
% 1.75/1.96 % (9415)Instructions burned: 369 (million)
% 1.75/1.96 % (9415)------------------------------
% 1.75/1.96 % (9415)------------------------------
% 1.75/1.97 % (9426)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_8987 for (2993ds/4350Mi)
% 6.72/2.01 % (9423)Instruction limit reached!
% 6.72/2.01 % (9423)------------------------------
% 6.72/2.01 % (9423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.72/2.01 % (9423)Termination reason: Unknown
% 6.72/2.01 % (9423)Termination phase: Saturation
% 6.72/2.01
% 6.72/2.01 % (9423)Memory used [KB]: 6524
% 6.72/2.01 % (9423)Time elapsed: 0.113 s
% 6.72/2.01 % (9423)Instructions burned: 409 (million)
% 6.72/2.01 % (9423)------------------------------
% 6.72/2.01 % (9423)------------------------------
% 6.72/2.02 % (9427)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_8987 for (2992ds/68Mi)
% 6.72/2.04 % (9427)Instruction limit reached!
% 6.72/2.04 % (9427)------------------------------
% 6.72/2.04 % (9427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.72/2.04 % (9427)Termination reason: Unknown
% 6.72/2.04 % (9427)Termination phase: Saturation
% 6.72/2.04
% 6.72/2.04 % (9427)Memory used [KB]: 5884
% 6.72/2.04 % (9427)Time elapsed: 0.022 s
% 6.72/2.04 % (9427)Instructions burned: 68 (million)
% 6.72/2.04 % (9427)------------------------------
% 6.72/2.04 % (9427)------------------------------
% 6.72/2.05 % (9428)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_8987 for (2992ds/358Mi)
% 6.72/2.11 % (9409)Instruction limit reached!
% 6.72/2.11 % (9409)------------------------------
% 6.72/2.11 % (9409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.72/2.11 % (9409)Termination reason: Unknown
% 6.72/2.11 % (9409)Termination phase: Saturation
% 6.72/2.11
% 6.72/2.11 % (9409)Memory used [KB]: 6652
% 6.72/2.11 % (9409)Time elapsed: 0.282 s
% 6.72/2.11 % (9409)Instructions burned: 923 (million)
% 6.72/2.11 % (9409)------------------------------
% 6.72/2.11 % (9409)------------------------------
% 7.39/2.12 % (9429)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_8987 for (2991ds/31Mi)
% 7.39/2.13 % (9429)Instruction limit reached!
% 7.39/2.13 % (9429)------------------------------
% 7.39/2.13 % (9429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.13 % (9429)Termination reason: Unknown
% 7.39/2.13 % (9429)Termination phase: Saturation
% 7.39/2.13
% 7.39/2.13 % (9429)Memory used [KB]: 5756
% 7.39/2.13 % (9429)Time elapsed: 0.011 s
% 7.39/2.13 % (9429)Instructions burned: 34 (million)
% 7.39/2.13 % (9429)------------------------------
% 7.39/2.13 % (9429)------------------------------
% 7.39/2.14 % (9430)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/279Mi)
% 7.39/2.14 % Exception at run slice level
% 7.39/2.14 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
% 7.39/2.15 % (9431)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/258Mi)
% 7.39/2.16 % (9416)Instruction limit reached!
% 7.39/2.16 % (9416)------------------------------
% 7.39/2.16 % (9416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.16 % (9416)Termination reason: Unknown
% 7.39/2.16 % (9416)Termination phase: Saturation
% 7.39/2.16
% 7.39/2.16 % (9416)Memory used [KB]: 7291
% 7.39/2.16 % (9416)Time elapsed: 0.321 s
% 7.39/2.16 % (9416)Instructions burned: 1022 (million)
% 7.39/2.16 % (9416)------------------------------
% 7.39/2.16 % (9416)------------------------------
% 7.39/2.17 % (9428)Instruction limit reached!
% 7.39/2.17 % (9428)------------------------------
% 7.39/2.17 % (9428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.39/2.17 % (9428)Termination reason: Unknown
% 7.39/2.17 % (9428)Termination phase: Saturation
% 7.39/2.17
% 7.39/2.17 % (9428)Memory used [KB]: 6268
% 7.39/2.17 % (9428)Time elapsed: 0.117 s
% 7.39/2.17 % (9428)Instructions burned: 358 (million)
% 7.39/2.17 % (9428)------------------------------
% 7.39/2.17 % (9428)------------------------------
% 7.39/2.17 % (9432)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/26Mi)
% 7.39/2.18 % Exception at run slice level
% 7.39/2.18 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
% 7.39/2.18 % (9433)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/995Mi)
% 7.39/2.18 % Exception at run slice level
% 7.39/2.18 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
% 7.39/2.18 % (9434)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/373Mi)
% 7.39/2.19 % (9435)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/253Mi)
% 7.39/2.19 % Exception at run slice level
% 7.39/2.19 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
% 7.98/2.20 % (9436)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_8987 for (2991ds/832Mi)
% 7.98/2.23 % (9431)Instruction limit reached!
% 7.98/2.23 % (9431)------------------------------
% 7.98/2.23 % (9431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.98/2.23 % (9431)Termination reason: Unknown
% 7.98/2.23 % (9431)Termination phase: Saturation
% 7.98/2.23
% 7.98/2.23 % (9431)Memory used [KB]: 6396
% 7.98/2.23 % (9431)Time elapsed: 0.083 s
% 7.98/2.23 % (9431)Instructions burned: 259 (million)
% 7.98/2.23 % (9431)------------------------------
% 7.98/2.23 % (9431)------------------------------
% 7.98/2.24 % (9437)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_8987 for (2990ds/668Mi)
% 7.98/2.24 % Exception at run slice level
% 7.98/2.24 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
% 7.98/2.25 % (9438)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_8987 for (2990ds/40Mi)
% 7.98/2.25 % Exception at run slice level
% 7.98/2.25 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
% 7.98/2.26 % (9439)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_8987 for (2990ds/294Mi)
% 7.98/2.26 % Exception at run slice level
% 7.98/2.26 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
% 7.98/2.27 % (9440)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_8987 for (2990ds/187Mi)
% 8.50/2.30 % (9434)Instruction limit reached!
% 8.50/2.30 % (9434)------------------------------
% 8.50/2.30 % (9434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.30 % (9434)Termination reason: Unknown
% 8.50/2.30 % (9434)Termination phase: Saturation
% 8.50/2.30
% 8.50/2.30 % (9434)Memory used [KB]: 6140
% 8.50/2.30 % (9434)Time elapsed: 0.117 s
% 8.50/2.30 % (9434)Instructions burned: 375 (million)
% 8.50/2.30 % (9434)------------------------------
% 8.50/2.30 % (9434)------------------------------
% 8.50/2.31 % (9441)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/371Mi)
% 8.50/2.33 % (9440)Instruction limit reached!
% 8.50/2.33 % (9440)------------------------------
% 8.50/2.33 % (9440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.33 % (9440)Termination reason: Unknown
% 8.50/2.33 % (9440)Termination phase: Saturation
% 8.50/2.33
% 8.50/2.33 % (9440)Memory used [KB]: 6396
% 8.50/2.33 % (9440)Time elapsed: 0.062 s
% 8.50/2.33 % (9440)Instructions burned: 188 (million)
% 8.50/2.33 % (9440)------------------------------
% 8.50/2.33 % (9440)------------------------------
% 8.50/2.33 % (9422)Instruction limit reached!
% 8.50/2.33 % (9422)------------------------------
% 8.50/2.33 % (9422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.33 % (9422)Termination reason: Unknown
% 8.50/2.33 % (9422)Termination phase: Saturation
% 8.50/2.33
% 8.50/2.33 % (9422)Memory used [KB]: 7931
% 8.50/2.33 % (9422)Time elapsed: 0.463 s
% 8.50/2.33 % (9422)Instructions burned: 1541 (million)
% 8.50/2.33 % (9422)------------------------------
% 8.50/2.33 % (9422)------------------------------
% 8.50/2.34 % (9442)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/1827Mi)
% 8.50/2.34 % (9443)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/70Mi)
% 8.50/2.34 % Exception at run slice level
% 8.50/2.34 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
% 8.50/2.35 % (9444)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/316Mi)
% 8.50/2.35 % Exception at run slice level
% 8.50/2.35 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
% 8.50/2.36 % (9445)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/932Mi)
% 8.50/2.37 % Exception at run slice level
% 8.50/2.37 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
% 8.50/2.37 % (9446)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_8987 for (2989ds/4714Mi)
% 8.50/2.38 % Exception at run slice level
% 8.50/2.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 8.50/2.38 % (9436)First to succeed.
% 8.50/2.38 % (9436)Refutation found. Thanks to Tanya!
% 8.50/2.38 % SZS status Theorem for DTF2THF_8987
% 8.50/2.38 % SZS output start Proof for DTF2THF_8987
% 8.50/2.38 thf(type_def_6, type, color: $tType).
% 8.50/2.38 thf(type_def_7, type, nat: $tType).
% 8.50/2.38 thf(type_def_8, type, tree: ($tType) > $tType).
% 8.50/2.38 thf(type_def_9, type, sK16: $tType).
% 8.50/2.38 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 8.50/2.38 thf(func_def_2, type, color: $tType).
% 8.50/2.38 thf(func_def_3, type, colorStar: color > color > $o).
% 8.50/2.38 thf(func_def_4, type, black: color).
% 8.50/2.38 thf(func_def_5, type, red: color).
% 8.50/2.38 thf(func_def_6, type, nat: $tType).
% 8.50/2.38 thf(func_def_7, type, natStar: nat > nat > $o).
% 8.50/2.38 thf(func_def_8, type, zero: nat).
% 8.50/2.38 thf(func_def_9, type, suc: nat > nat).
% 8.50/2.38 thf(func_def_10, type, tree: ($tType) > $tType).
% 8.50/2.38 thf(func_def_11, type, treeStar: !>[X0: $tType]:((X0 > X0 > $o) > color > nat > tree @ X0 > tree @ X0 > $o)).
% 8.50/2.38 thf(func_def_12, type, leaf: !>[X0: $tType]:(tree @ X0)).
% 8.50/2.38 thf(func_def_13, type, rt: !>[X0: $tType]:(nat > tree @ X0 > X0 > tree @ X0 > tree @ X0)).
% 8.50/2.38 thf(func_def_14, type, bt: !>[X0: $tType]:(nat > color > color > tree @ X0 > X0 > tree @ X0 > tree @ X0)).
% 8.50/2.38 thf(func_def_15, type, rev: !>[X0: $tType]:(color > nat > tree @ X0 > tree @ X0)).
% 8.50/2.38 thf(func_def_18, type, sP0: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > $o)).
% 8.50/2.38 thf(func_def_19, type, sK1: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > X0)).
% 8.50/2.38 thf(func_def_20, type, sK2: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > nat)).
% 8.50/2.38 thf(func_def_21, type, sK3: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > color)).
% 8.50/2.38 thf(func_def_22, type, sK4: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > color)).
% 8.50/2.38 thf(func_def_23, type, sK5: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > tree @ X0)).
% 8.50/2.38 thf(func_def_24, type, sK6: !>[X0: $tType]:((X0 > X0 > $o) > nat > tree @ X0 > tree @ X0)).
% 8.50/2.38 thf(func_def_25, type, sK7: !>[X0: $tType]:(tree @ X0 > color > (X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_26, type, sK8: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_27, type, sK9: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_28, type, sK10: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_29, type, sK11: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_30, type, sK12: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_31, type, sK13: !>[X0: $tType]:(tree @ X0 > nat > (X0 > X0 > $o) > X0)).
% 8.50/2.38 thf(func_def_32, type, sK14: !>[X0: $tType]:(tree @ X0 > nat > (X0 > X0 > $o) > tree @ X0)).
% 8.50/2.38 thf(func_def_33, type, sK15: !>[X0: $tType]:(tree @ X0 > nat > (X0 > X0 > $o) > tree @ X0)).
% 8.50/2.38 thf(func_def_34, type, sK17: sK16 > sK16 > $o).
% 8.50/2.38 thf(func_def_35, type, sK18: color).
% 8.50/2.38 thf(func_def_36, type, sK19: tree @ sK16).
% 8.50/2.38 thf(func_def_37, type, sK20: (nat > $o) > nat).
% 8.50/2.38 thf(func_def_39, type, ph22: !>[X0: $tType]:(X0)).
% 8.50/2.38 thf(f1109,plain,(
% 8.50/2.38 $false),
% 8.50/2.38 inference(avatar_sat_refutation,[status(thm)],[f173,f184,f207,f245,f443,f473,f483,f531,f1107])).
% 8.50/2.38 thf(f1107,plain,(
% 8.50/2.38 ~spl21_2 | ~spl21_6 | ~spl21_9),
% 8.50/2.38 inference(avatar_contradiction_clause,[status(thm)],[f1106])).
% 8.50/2.38 thf(f1106,plain,(
% 8.50/2.38 $false | (~spl21_2 | ~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f1105,f148])).
% 8.50/2.38 thf(f148,plain,(
% 8.50/2.38 ($true = (isPer @ sK16 @ sK17))),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f106])).
% 8.50/2.38 thf(f106,plain,(
% 8.50/2.38 (((treeStar @ sK16 @ sK17 @ sK18 @ zero @ sK19 @ sK19) = $true) & ((treeStar @ sK16 @ sK17 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ sK19)) @ sK19) != $true)) & ($true = (isPer @ sK16 @ sK17))),
% 8.50/2.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f79,f105,f104])).
% 8.50/2.38 thf(f104,plain,(
% 8.50/2.38 ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) & ($true != (treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3))) & ((isPer @ X0 @ X1) = $true)) => (? [X3 : tree @ sK16,X2 : color] : (($true = (treeStar @ sK16 @ sK17 @ X2 @ zero @ X3 @ X3)) & ((treeStar @ sK16 @ sK17 @ X2 @ zero @ (rev @ sK16 @ X2 @ zero @ (rev @ sK16 @ X2 @ zero @ X3)) @ X3) != $true)) & ($true = (isPer @ sK16 @ sK17)))),
% 8.50/2.38 introduced(definition,[],[choice_axiom])).
% 8.50/2.38 thf(f105,plain,(
% 8.50/2.38 ? [X3 : tree @ sK16,X2 : color] : (($true = (treeStar @ sK16 @ sK17 @ X2 @ zero @ X3 @ X3)) & ((treeStar @ sK16 @ sK17 @ X2 @ zero @ (rev @ sK16 @ X2 @ zero @ (rev @ sK16 @ X2 @ zero @ X3)) @ X3) != $true)) => (((treeStar @ sK16 @ sK17 @ sK18 @ zero @ sK19 @ sK19) = $true) & ((treeStar @ sK16 @ sK17 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ sK19)) @ sK19) != $true))),
% 8.50/2.38 introduced(definition,[],[choice_axiom])).
% 8.50/2.38 thf(f79,plain,(
% 8.50/2.38 ? [X0 : $tType,X1 : X0 > X0 > $o] : (? [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) & ($true != (treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3))) & ((isPer @ X0 @ X1) = $true))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f29])).
% 8.50/2.38 thf(f29,plain,(
% 8.50/2.38 ~! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) => ($true = (treeStar @ X0 @ X1 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ (rev @ X0 @ X2 @ zero @ X3)) @ X3))))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f28])).
% 8.50/2.38 thf(f28,plain,(
% 8.50/2.38 ~! [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)))),
% 8.50/2.38 inference(rectify,[status(thm)],[f22])).
% 8.50/2.38 thf(f22,negated_conjecture,(
% 8.50/2.38 ~! [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)))),
% 8.50/2.38 inference(negated_conjecture,[status(cth)],[f21])).
% 8.50/2.38 thf(f21,conjecture,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ X20) => (treeStar @ X0 @ X1 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ (rev @ X0 @ X7 @ zero @ X20)) @ X20)))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',base)).
% 8.50/2.38 thf(f1105,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | (~spl21_2 | ~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f1104,f172])).
% 8.50/2.38 thf(f172,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ sK19) = $true) | ~spl21_2),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f170])).
% 8.50/2.38 thf(f170,definition,(
% 8.50/2.38 spl21_2 <=> ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ sK19) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_2])],[avatar_definition])).
% 8.50/2.38 thf(f1104,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17)) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f1099])).
% 8.50/2.38 thf(f1099,plain,(
% 8.50/2.38 ($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17)) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(superposition,[status(thm)],[f1096,f159])).
% 8.50/2.38 thf(f159,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X3 : tree @ X0,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ red @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ (sK7 @ X0 @ X3 @ red @ X1) @ leaf @ X0)) = $true) | ((treeStar @ X0 @ X1 @ red @ zero @ X3 @ X3) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(equality_resolution,[status(thm)],[f124])).
% 8.50/2.38 thf(f124,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : color,X3 : tree @ X0,X1 : X0 > X0 > $o] : ((red != X2) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ (sK7 @ X0 @ X3 @ X2 @ X1) @ leaf @ X0)) = $true) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f93])).
% 8.50/2.38 thf(f93,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : color,X3 : tree @ X0] : ((((red != X2) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ (sK7 @ X0 @ X3 @ X2 @ X1) @ leaf @ X0)) = $true)) & (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ leaf @ X0) = $true) | (black != X2))) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true)) | ((isPer @ X0 @ X1) != $true))),
% 8.50/2.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f77,f92])).
% 8.50/2.38 thf(f92,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o,X2 : color,X3 : tree @ X0] : (? [X4 : X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ X4 @ leaf @ X0)) = $true) => ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ (sK7 @ X0 @ X3 @ X2 @ X1) @ leaf @ X0)) = $true))),
% 8.50/2.38 introduced(definition,[],[choice_axiom])).
% 8.50/2.38 thf(f77,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : color,X3 : tree @ X0] : ((((red != X2) | ? [X4 : X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ X4 @ leaf @ X0)) = $true)) & (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ leaf @ X0) = $true) | (black != X2))) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true)) | ((isPer @ X0 @ X1) != $true))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f45])).
% 8.50/2.38 thf(f45,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : color,X3 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) = $true) => (((red = X2) => ? [X4 : X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ X4 @ leaf @ X0)) = $true)) & ((black = X2) => ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ leaf @ X0) = $true)))))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f44])).
% 8.50/2.38 thf(f44,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : color,X3 : tree @ X0] : ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) => (((red = X2) => ? [X4 : X0] : (treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ (rt @ X0 @ zero @ leaf @ X0 @ X4 @ leaf @ X0))) & ((black = X2) => (treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ leaf @ X0)))))),
% 8.50/2.38 inference(rectify,[status(thm)],[f20])).
% 8.50/2.38 thf(f20,axiom,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X7 : color,X20 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ X20) => (((red = X7) => ? [X2 : X0] : (treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) & ((black = X7) => (treeStar @ X0 @ X1 @ X7 @ zero @ X20 @ leaf @ X0)))))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',zero_height_tree_options)).
% 8.50/2.38 thf(f1096,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f1095,f212])).
% 8.50/2.38 thf(f212,plain,(
% 8.50/2.38 ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) = $true) | ~spl21_6),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f210])).
% 8.50/2.38 thf(f210,definition,(
% 8.50/2.38 spl21_6 <=> ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_6])],[avatar_definition])).
% 8.50/2.38 thf(f1095,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f1092])).
% 8.50/2.38 thf(f1092,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(superposition,[status(thm)],[f1081,f138])).
% 8.50/2.38 thf(f138,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X1 : X0 > X0 > $o,X6 : X0,X5 : X0] : (((X1 @ X6 @ X5) = $true) | ((isPer @ X0 @ X1) != $true) | ((X1 @ X5 @ X6) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f100])).
% 8.50/2.38 thf(f100,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (((X1 @ (sK8 @ X0 @ X1) @ (sK9 @ X0 @ X1)) = $true) & ((X1 @ (sK9 @ X0 @ X1) @ (sK10 @ X0 @ X1)) = $true) & ((X1 @ (sK8 @ X0 @ X1) @ (sK10 @ X0 @ X1)) != $true)) | (((X1 @ (sK11 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) & ($true != (X1 @ (sK12 @ X0 @ X1) @ (sK11 @ X0 @ X1))))))),
% 8.50/2.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f97,f99,f98])).
% 8.50/2.38 thf(f98,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X7 : X0,X8 : X0,X9 : X0] : (((X1 @ X7 @ X8) = $true) & ((X1 @ X8 @ X9) = $true) & ((X1 @ X7 @ X9) != $true)) => (((X1 @ (sK8 @ X0 @ X1) @ (sK9 @ X0 @ X1)) = $true) & ((X1 @ (sK9 @ X0 @ X1) @ (sK10 @ X0 @ X1)) = $true) & ((X1 @ (sK8 @ X0 @ X1) @ (sK10 @ X0 @ X1)) != $true)))),
% 8.50/2.38 introduced(definition,[],[choice_axiom])).
% 8.50/2.38 thf(f99,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (? [X10 : X0,X11 : X0] : (((X1 @ X10 @ X11) = $true) & ((X1 @ X11 @ X10) != $true)) => (((X1 @ (sK11 @ X0 @ X1) @ (sK12 @ X0 @ X1)) = $true) & ($true != (X1 @ (sK12 @ X0 @ X1) @ (sK11 @ X0 @ X1)))))),
% 8.50/2.38 introduced(definition,[],[choice_axiom])).
% 8.50/2.38 thf(f97,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X7 : X0,X8 : X0,X9 : X0] : (((X1 @ X7 @ X8) = $true) & ((X1 @ X8 @ X9) = $true) & ((X1 @ X7 @ X9) != $true)) | ? [X10 : X0,X11 : X0] : (((X1 @ X10 @ X11) = $true) & ((X1 @ X11 @ X10) != $true))))),
% 8.50/2.38 inference(rectify,[status(thm)],[f96])).
% 8.50/2.38 thf(f96,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | ? [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X4) = $true) & ((X1 @ X2 @ X4) != $true)) | ? [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) & ((X1 @ X6 @ X5) != $true))))),
% 8.50/2.38 inference(flattening,[status(thm)],[f95])).
% 8.50/2.38 thf(f95,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))) | ((isPer @ X0 @ X1) != $true)) & (((isPer @ X0 @ X1) = $true) | (? [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) & ((X1 @ X3 @ X4) = $true) & ((X1 @ X2 @ X4) != $true)) | ? [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) & ((X1 @ X6 @ X5) != $true)))))),
% 8.50/2.38 inference(nnf_transformation,[status(thm)],[f81])).
% 8.50/2.38 thf(f81,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X4) = $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))) <=> ((isPer @ X0 @ X1) = $true))),
% 8.50/2.38 inference(flattening,[status(thm)],[f80])).
% 8.50/2.38 thf(f80,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0,X4 : X0] : ((((X1 @ X2 @ X4) = $true) | ((X1 @ X3 @ X4) != $true)) | ((X1 @ X2 @ X3) != $true)) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) != $true) | ((X1 @ X6 @ X5) = $true))))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f31])).
% 8.50/2.38 thf(f31,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) <=> (! [X2 : X0,X3 : X0,X4 : X0] : (((X1 @ X2 @ X3) = $true) => (((X1 @ X3 @ X4) = $true) => ((X1 @ X2 @ X4) = $true))) & ! [X5 : X0,X6 : X0] : (((X1 @ X5 @ X6) = $true) => ((X1 @ X6 @ X5) = $true))))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f30])).
% 8.50/2.38 thf(f30,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X5 : X0,X6 : X0] : ((X1 @ X5 @ X6) => (X1 @ X6 @ X5))) <=> (isPer @ X0 @ X1))),
% 8.50/2.38 inference(rectify,[status(thm)],[f1])).
% 8.50/2.38 thf(f1,axiom,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2))) <=> (isPer @ X0 @ X1))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',is_per)).
% 8.50/2.38 thf(f1081,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f1077,f212])).
% 8.50/2.38 thf(f1077,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f1076])).
% 8.50/2.38 thf(f1076,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(duplicate_literal_removal,[status(thm)],[f1073])).
% 8.50/2.38 thf(f1073,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true) | ($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(superposition,[status(thm)],[f1068,f138])).
% 8.50/2.38 thf(f1068,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f1062,f148])).
% 8.50/2.38 thf(f1062,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f1054])).
% 8.50/2.38 thf(f1054,plain,(
% 8.50/2.38 ( ! [X0 : sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rt @ sK16 @ zero @ leaf @ sK16 @ X0 @ leaf @ sK16) @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17))) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(superposition,[status(thm)],[f716,f151])).
% 8.50/2.38 thf(f151,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : X0,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ red @ zero @ (rev @ X0 @ red @ zero @ (rev @ X0 @ red @ zero @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0)) = $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f68])).
% 8.50/2.38 thf(f68,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : X0] : ((treeStar @ X0 @ X1 @ red @ zero @ (rev @ X0 @ red @ zero @ (rev @ X0 @ red @ zero @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0)) = $true))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f47])).
% 8.50/2.38 thf(f47,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : X0] : ((treeStar @ X0 @ X1 @ red @ zero @ (rev @ X0 @ red @ zero @ (rev @ X0 @ red @ zero @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0)) = $true))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f46])).
% 8.50/2.38 thf(f46,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : X0] : (treeStar @ X0 @ X1 @ red @ zero @ (rev @ X0 @ red @ zero @ (rev @ X0 @ red @ zero @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0)))),
% 8.50/2.38 inference(rectify,[status(thm)],[f19])).
% 8.50/2.38 thf(f19,axiom,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : X0] : (treeStar @ X0 @ X1 @ red @ zero @ (rev @ X0 @ red @ zero @ (rev @ X0 @ red @ zero @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0))) @ (rt @ X0 @ zero @ leaf @ X0 @ X2 @ leaf @ X0)))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',rt_base)).
% 8.50/2.38 thf(f716,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16,X1 : tree @ sK16] : (($true != (treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ X1)) | ((treeStar @ sK16 @ sK17 @ red @ zero @ X1 @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true)) ) | (~spl21_6 | ~spl21_9)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f713,f212])).
% 8.50/2.38 thf(f713,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16,X1 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true) | ($true != (treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ X1)) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ X1 @ sK19) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f712])).
% 8.50/2.38 thf(f712,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16,X1 : tree @ sK16] : (($true != $true) | ($true != (treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ X1)) | ((treeStar @ sK16 @ sK17 @ red @ zero @ X1 @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(superposition,[status(thm)],[f650,f139])).
% 8.50/2.38 thf(f139,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (((X1 @ X2 @ X4) = $true) | ((isPer @ X0 @ X1) != $true) | ((X1 @ X3 @ X4) != $true) | ((X1 @ X2 @ X3) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f100])).
% 8.50/2.38 thf(f650,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f643,f148])).
% 8.50/2.38 thf(f643,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17))) ) | ~spl21_9),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f637])).
% 8.50/2.38 thf(f637,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0)) @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ X0) != $true) | ($true != (isPer @ sK16 @ sK17))) ) | ~spl21_9),
% 8.50/2.38 inference(superposition,[status(thm)],[f589,f113])).
% 8.50/2.38 thf(f113,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o,X4 : tree @ X0,X5 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4) @ (rev @ X0 @ X2 @ X3 @ X5)) = $true) | ((isPer @ X0 @ X1) != $true) | ((treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f73])).
% 8.50/2.38 thf(f73,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) != $true) | ! [X2 : color,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) != $true) | ((treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4) @ (rev @ X0 @ X2 @ X3 @ X5)) = $true)))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f33])).
% 8.50/2.38 thf(f33,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : color,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : (((treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = $true) => ((treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4) @ (rev @ X0 @ X2 @ X3 @ X5)) = $true)))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f32])).
% 8.50/2.38 thf(f32,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : color,X3 : nat,X4 : tree @ X0,X5 : tree @ X0] : ((treeStar @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) => (treeStar @ X0 @ X1 @ X2 @ X3 @ (rev @ X0 @ X2 @ X3 @ X4) @ (rev @ X0 @ X2 @ X3 @ X5))))),
% 8.50/2.38 inference(rectify,[status(thm)],[f8])).
% 8.50/2.38 thf(f8,axiom,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X7 : color,X9 : nat,X10 : tree @ X0,X11 : tree @ X0] : ((treeStar @ X0 @ X1 @ X7 @ X9 @ X10 @ X11) => (treeStar @ X0 @ X1 @ X7 @ X9 @ (rev @ X0 @ X7 @ X9 @ X10) @ (rev @ X0 @ X7 @ X9 @ X11))))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',rev_tp_ax)).
% 8.50/2.38 thf(f589,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19) @ X0) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0) @ sK19) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f586,f148])).
% 8.50/2.38 thf(f586,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19) @ X0) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0) @ sK19) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f578])).
% 8.50/2.38 thf(f578,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19) @ X0) != $true) | ($true != (isPer @ sK16 @ sK17)) | ($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ X0) @ sK19) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(superposition,[status(thm)],[f442,f113])).
% 8.50/2.38 thf(f442,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ X0) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ X0 @ sK19) != $true)) ) | ~spl21_9),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f441])).
% 8.50/2.38 thf(f441,definition,(
% 8.50/2.38 spl21_9 <=> ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ X0 @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ X0) != $true))),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_9])],[avatar_definition])).
% 8.50/2.38 thf(f531,plain,(
% 8.50/2.38 ~spl21_1 | ~spl21_4 | spl21_11),
% 8.50/2.38 inference(avatar_contradiction_clause,[status(thm)],[f530])).
% 8.50/2.38 thf(f530,plain,(
% 8.50/2.38 $false | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f529,f217])).
% 8.50/2.38 thf(f217,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) = $true) | ~spl21_1),
% 8.50/2.38 inference(superposition,[status(thm)],[f150,f168])).
% 8.50/2.38 thf(f168,plain,(
% 8.50/2.38 (black = sK18) | ~spl21_1),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f166])).
% 8.50/2.38 thf(f166,definition,(
% 8.50/2.38 spl21_1 <=> (black = sK18)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_1])],[avatar_definition])).
% 8.50/2.38 thf(f150,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ sK18 @ zero @ sK19 @ sK19) = $true)),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f106])).
% 8.50/2.38 thf(f529,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f528,f148])).
% 8.50/2.38 thf(f528,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f521])).
% 8.50/2.38 thf(f521,plain,(
% 8.50/2.38 ($true != $true) | ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(superposition,[status(thm)],[f520,f160])).
% 8.50/2.38 thf(f160,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X3 : tree @ X0,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ zero @ X3 @ leaf @ X0) = $true) | ((treeStar @ X0 @ X1 @ black @ zero @ X3 @ X3) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(equality_resolution,[status(thm)],[f123])).
% 8.50/2.38 thf(f123,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : color,X3 : tree @ X0,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ leaf @ X0) = $true) | (black != X2) | ((treeStar @ X0 @ X1 @ X2 @ zero @ X3 @ X3) != $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f93])).
% 8.50/2.38 thf(f520,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ leaf @ sK16) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f517,f215])).
% 8.50/2.38 thf(f215,plain,(
% 8.50/2.38 ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) = $true) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(superposition,[status(thm)],[f196,f168])).
% 8.50/2.38 thf(f196,plain,(
% 8.50/2.38 ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ sK18 @ zero)) = $true) | ~spl21_4),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f195])).
% 8.50/2.38 thf(f195,definition,(
% 8.50/2.38 spl21_4 <=> ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ sK18 @ zero)) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_4])],[avatar_definition])).
% 8.50/2.38 thf(f517,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ leaf @ sK16) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f515])).
% 8.50/2.38 thf(f515,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ leaf @ sK16) != $true) | ($true != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(superposition,[status(thm)],[f512,f138])).
% 8.50/2.38 thf(f512,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ leaf @ sK16 @ sK19) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f509,f148])).
% 8.50/2.38 thf(f509,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ leaf @ sK16 @ sK19) != $true) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f498])).
% 8.50/2.38 thf(f498,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ leaf @ sK16 @ sK19) != $true) | ($true != $true) | ($true != (isPer @ sK16 @ sK17)) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(superposition,[status(thm)],[f489,f140])).
% 8.50/2.38 thf(f140,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ zero @ (rev @ X0 @ black @ zero @ leaf @ X0) @ leaf @ X0) = $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f65])).
% 8.50/2.38 thf(f65,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((treeStar @ X0 @ X1 @ black @ zero @ (rev @ X0 @ black @ zero @ leaf @ X0) @ leaf @ X0) = $true) | ((isPer @ X0 @ X1) != $true))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f43])).
% 8.50/2.38 thf(f43,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ((treeStar @ X0 @ X1 @ black @ zero @ (rev @ X0 @ black @ zero @ leaf @ X0) @ leaf @ X0) = $true))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f42])).
% 8.50/2.38 thf(f42,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (treeStar @ X0 @ X1 @ black @ zero @ (rev @ X0 @ black @ zero @ leaf @ X0) @ leaf @ X0))),
% 8.50/2.38 inference(rectify,[status(thm)],[f15])).
% 8.50/2.38 thf(f15,axiom,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => (treeStar @ X0 @ X1 @ black @ zero @ (rev @ X0 @ black @ zero @ leaf @ X0) @ leaf @ X0))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',rev_leaf)).
% 8.50/2.38 thf(f489,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ X0) != $true) | ($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19))) ) | (~spl21_1 | ~spl21_4 | spl21_11)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f486,f215])).
% 8.50/2.38 thf(f486,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19)) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ X0) != $true)) ) | spl21_11),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f485])).
% 8.50/2.38 thf(f485,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ X0) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true) | ($true != $true) | ($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19))) ) | spl21_11),
% 8.50/2.38 inference(superposition,[status(thm)],[f472,f139])).
% 8.50/2.38 thf(f472,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ sK19) != $true) | spl21_11),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f470])).
% 8.50/2.38 thf(f470,definition,(
% 8.50/2.38 spl21_11 <=> ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ sK19) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_11])],[avatar_definition])).
% 8.50/2.38 thf(f483,plain,(
% 8.50/2.38 ~spl21_1 | spl21_10),
% 8.50/2.38 inference(avatar_contradiction_clause,[status(thm)],[f482])).
% 8.50/2.38 thf(f482,plain,(
% 8.50/2.38 $false | (~spl21_1 | spl21_10)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f481,f148])).
% 8.50/2.38 thf(f481,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | (~spl21_1 | spl21_10)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f478,f217])).
% 8.50/2.38 thf(f478,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17)) | spl21_10),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f474])).
% 8.50/2.38 thf(f474,plain,(
% 8.50/2.38 ($true != $true) | ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ sK19 @ sK19) != $true) | spl21_10),
% 8.50/2.38 inference(superposition,[status(thm)],[f468,f113])).
% 8.50/2.38 thf(f468,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ (rev @ sK16 @ black @ zero @ sK19)) != $true) | spl21_10),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f466])).
% 8.50/2.38 thf(f466,definition,(
% 8.50/2.38 spl21_10 <=> ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ (rev @ sK16 @ black @ zero @ sK19)) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_10])],[avatar_definition])).
% 8.50/2.38 thf(f473,plain,(
% 8.50/2.38 ~spl21_10 | ~spl21_11 | ~spl21_1 | ~spl21_4),
% 8.50/2.38 inference(avatar_split_clause,[status(thm)],[f328,f195,f166,f470,f466])).
% 8.50/2.38 thf(f328,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ sK19) != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ (rev @ sK16 @ black @ zero @ sK19)) != $true) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f324,f148])).
% 8.50/2.38 thf(f324,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ (rev @ sK16 @ black @ zero @ sK19)) != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ sK19) != $true) | ($true != (isPer @ sK16 @ sK17)) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f316])).
% 8.50/2.38 thf(f316,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ (rev @ sK16 @ black @ zero @ sK19)) != $true) | ($true != $true) | ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ leaf @ sK16) @ sK19) != $true) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(superposition,[status(thm)],[f279,f160])).
% 8.50/2.38 thf(f279,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ X0) != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ X0) @ sK19) != $true)) ) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f278,f148])).
% 8.50/2.38 thf(f278,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ X0) != $true) | ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ X0) @ sK19) != $true)) ) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f267])).
% 8.50/2.38 thf(f267,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19) @ X0) != $true) | ($true != (isPer @ sK16 @ sK17)) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ X0) @ sK19) != $true)) ) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(superposition,[status(thm)],[f231,f113])).
% 8.50/2.38 thf(f231,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19)) @ X0) != $true) | ($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19))) ) | (~spl21_1 | ~spl21_4)),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f230,f215])).
% 8.50/2.38 thf(f230,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19)) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19)) @ X0) != $true)) ) | ~spl21_1),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f228])).
% 8.50/2.38 thf(f228,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19)) @ X0) != $true) | ($true != (treeStar @ sK16 @ sK17 @ black @ zero @ X0 @ sK19)) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ black @ zero)) != $true)) ) | ~spl21_1),
% 8.50/2.38 inference(superposition,[status(thm)],[f216,f139])).
% 8.50/2.38 thf(f216,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ black @ zero @ (rev @ sK16 @ black @ zero @ (rev @ sK16 @ black @ zero @ sK19)) @ sK19) != $true) | ~spl21_1),
% 8.50/2.38 inference(superposition,[status(thm)],[f149,f168])).
% 8.50/2.38 thf(f149,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ (rev @ sK16 @ sK18 @ zero @ sK19)) @ sK19) != $true)),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f106])).
% 8.50/2.38 thf(f443,plain,(
% 8.50/2.38 spl21_9 | ~spl21_6 | spl21_3),
% 8.50/2.38 inference(avatar_split_clause,[status(thm)],[f189,f181,f210,f441])).
% 8.50/2.38 thf(f181,definition,(
% 8.50/2.38 spl21_3 <=> ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ sK19) = $true)),
% 8.50/2.38 introduced(definition,[new_symbols(naming,[spl21_3])],[avatar_definition])).
% 8.50/2.38 thf(f189,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (((treeStar @ sK16 @ sK17 @ red @ zero @ X0 @ sK19) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ X0) != $true)) ) | spl21_3),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f187])).
% 8.50/2.38 thf(f187,plain,(
% 8.50/2.38 ( ! [X0 : tree @ sK16] : (($true != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ X0 @ sK19) != $true) | ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ X0) != $true)) ) | spl21_3),
% 8.50/2.38 inference(superposition,[status(thm)],[f183,f139])).
% 8.50/2.38 thf(f183,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ sK19) != $true) | spl21_3),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f181])).
% 8.50/2.38 thf(f245,plain,(
% 8.50/2.38 spl21_6),
% 8.50/2.38 inference(avatar_contradiction_clause,[status(thm)],[f244])).
% 8.50/2.38 thf(f244,plain,(
% 8.50/2.38 $false | spl21_6),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f243,f148])).
% 8.50/2.38 thf(f243,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | spl21_6),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f242])).
% 8.50/2.38 thf(f242,plain,(
% 8.50/2.38 ($true != $true) | ($true != (isPer @ sK16 @ sK17)) | spl21_6),
% 8.50/2.38 inference(superposition,[status(thm)],[f211,f128])).
% 8.50/2.38 thf(f128,plain,(
% 8.50/2.38 ( ! [X0 : $tType,X2 : color,X3 : nat,X1 : X0 > X0 > $o] : (((isPer @ tree @ X0 @ (treeStar @ X0 @ X1 @ X2 @ X3)) = $true) | ((isPer @ X0 @ X1) != $true)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f78])).
% 8.50/2.38 thf(f78,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (! [X2 : color,X3 : nat] : ((isPer @ tree @ X0 @ (treeStar @ X0 @ X1 @ X2 @ X3)) = $true) | ((isPer @ X0 @ X1) != $true))),
% 8.50/2.38 inference(ennf_transformation,[status(thm)],[f39])).
% 8.50/2.38 thf(f39,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $true) => ! [X2 : color,X3 : nat] : ((isPer @ tree @ X0 @ (treeStar @ X0 @ X1 @ X2 @ X3)) = $true))),
% 8.50/2.38 inference(fool_elimination,[status(thm)],[f38])).
% 8.50/2.38 thf(f38,plain,(
% 8.50/2.38 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((isPer @ X0 @ X1) => ! [X2 : color,X3 : nat] : (isPer @ tree @ X0 @ (treeStar @ X0 @ X1 @ X2 @ X3)))),
% 8.50/2.38 inference(rectify,[status(thm)],[f4])).
% 8.50/2.38 thf(f4,axiom,(
% 8.50/2.38 ! [X5 : $tType,X6 : X5 > X5 > $o] : ((isPer @ X5 @ X6) => ! [X7 : color,X8 : nat] : (isPer @ tree @ X5 @ (treeStar @ X5 @ X6 @ X7 @ X8)))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p','\'treeStar\'_is_per')).
% 8.50/2.38 thf(f211,plain,(
% 8.50/2.38 ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ red @ zero)) != $true) | spl21_6),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f210])).
% 8.50/2.38 thf(f207,plain,(
% 8.50/2.38 spl21_4),
% 8.50/2.38 inference(avatar_contradiction_clause,[status(thm)],[f206])).
% 8.50/2.38 thf(f206,plain,(
% 8.50/2.38 $false | spl21_4),
% 8.50/2.38 inference(subsumption_resolution,[status(thm)],[f205,f148])).
% 8.50/2.38 thf(f205,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | spl21_4),
% 8.50/2.38 inference(trivial_inequality_removal,[status(thm)],[f204])).
% 8.50/2.38 thf(f204,plain,(
% 8.50/2.38 ($true != (isPer @ sK16 @ sK17)) | ($true != $true) | spl21_4),
% 8.50/2.38 inference(superposition,[status(thm)],[f197,f128])).
% 8.50/2.38 thf(f197,plain,(
% 8.50/2.38 ((isPer @ tree @ sK16 @ (treeStar @ sK16 @ sK17 @ sK18 @ zero)) != $true) | spl21_4),
% 8.50/2.38 inference(avatar_component_clause,[status(thm)],[f195])).
% 8.50/2.38 thf(f184,plain,(
% 8.50/2.38 spl21_1 | ~spl21_3),
% 8.50/2.38 inference(avatar_split_clause,[status(thm)],[f175,f181,f166])).
% 8.50/2.38 thf(f175,plain,(
% 8.50/2.38 (black = sK18) | ((treeStar @ sK16 @ sK17 @ red @ zero @ (rev @ sK16 @ red @ zero @ (rev @ sK16 @ red @ zero @ sK19)) @ sK19) != $true)),
% 8.50/2.38 inference(superposition,[status(thm)],[f149,f109])).
% 8.50/2.38 thf(f109,plain,(
% 8.50/2.38 ( ! [X0 : color] : ((red = X0) | (black = X0)) )),
% 8.50/2.38 inference(cnf_transformation,[status(thm)],[f61])).
% 8.50/2.38 thf(f61,plain,(
% 8.50/2.38 ! [X0 : color] : (((black != X0) & (red = X0)) | ((red != X0) & (black = X0)))),
% 8.50/2.38 inference(rectify,[status(thm)],[f9])).
% 8.50/2.38 thf(f9,axiom,(
% 8.50/2.38 ! [X7 : color] : (((black = X7) & (red != X7)) | ((black != X7) & (red = X7)))),
% 8.50/2.38 file('/export/starexec/sandbox2/tmp/tmp.mk9CZMsghY/DTF2THF_8987.p',red_black)).
% 8.50/2.38 thf(f173,plain,(
% 8.50/2.38 spl21_1 | spl21_2),
% 8.50/2.38 inference(avatar_split_clause,[status(thm)],[f164,f170,f166])).
% 8.50/2.38 thf(f164,plain,(
% 8.50/2.38 ((treeStar @ sK16 @ sK17 @ red @ zero @ sK19 @ sK19) = $true) | (black = sK18)),
% 8.50/2.38 inference(superposition,[status(thm)],[f150,f109])).
% 8.50/2.38 % SZS output end Proof for DTF2THF_8987
% 8.50/2.38 % (9436)------------------------------
% 8.50/2.38 % (9436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.50/2.38 % (9436)Termination reason: Refutation
% 8.50/2.38
% 8.50/2.38 % (9436)Memory used [KB]: 6396
% 8.50/2.38 % (9436)Time elapsed: 0.200 s
% 8.50/2.38 % (9436)Instructions burned: 588 (million)
% 8.50/2.38 % (9436)------------------------------
% 8.50/2.38 % (9436)------------------------------
% 8.50/2.38 % (9126)Success in time 1.094 s
%------------------------------------------------------------------------------