%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO548^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n027.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 09:54:31 AM UTC 2026
% Result : Theorem 1.63s 1.43s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 109 ( 22 ~; 4 |; 4 &; 68 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 3 con; 0-2 aty)
% ( 4 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 34 ( 0 ^; 18 !; 16 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_4,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_12,type,
sK2: ( ( $i > $o ) > $i ) > $i > $o ).
thf(func_def_13,type,
sK3: ( ( $i > $o ) > $i ) > $i ).
thf(func_def_15,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f42,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f40]) ).
thf(f40,plain,
$true != $true,
inference(superposition,[status(thm)],[f28,f38]) ).
thf(f38,plain,
! [X0: $i] :
( ( sK2 @ sK0 @ $i @ X0 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f36]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true = $false )
| ( ( sK2 @ sK0 @ $i @ X0 )
= $true ) ),
inference(superposition,[status(thm)],[f11,f34]) ).
thf(f34,plain,
( $true
= ( !! @ $i @ ( sK2 @ sK0 @ $i ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f31]) ).
thf(f31,plain,
( ( $true = $false )
| ( $true
= ( !! @ $i @ ( sK2 @ sK0 @ $i ) ) ) ),
inference(superposition,[status(thm)],[f29,f10]) ).
thf(f10,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( X1 @ ( sK0 @ X0 @ X1 ) )
= $false )
| ( ( !! @ X0 @ X1 )
= $true ) ),
introduced(definition,[],[pi_proxy_axiom]) ).
thf(f29,plain,
! [X0: ( $i > $o ) > $i] :
( $true
= ( sK2 @ X0 @ ( X0 @ ( sK2 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: ( $i > $o ) > $i] :
( ( $true
= ( sK2 @ X0 @ ( X0 @ ( sK2 @ X0 ) ) ) )
& ( $true
!= ( sK2 @ X0 @ ( sK3 @ X0 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f24,f26,f25]) ).
thf(f25,plain,
! [X0: ( $i > $o ) > $i] :
( ? [X1: $i > $o] :
( ( ( X1 @ ( X0 @ X1 ) )
= $true )
& ? [X2: $i] :
( ( X1 @ X2 )
!= $true ) )
=> ( ( $true
= ( sK2 @ X0 @ ( X0 @ ( sK2 @ X0 ) ) ) )
& ? [X2: $i] :
( ( sK2 @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f26,plain,
! [X0: ( $i > $o ) > $i] :
( ? [X2: $i] :
( ( sK2 @ X0 @ X2 )
!= $true )
=> ( $true
!= ( sK2 @ X0 @ ( sK3 @ X0 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f24,plain,
! [X0: ( $i > $o ) > $i] :
? [X1: $i > $o] :
( ( ( X1 @ ( X0 @ X1 ) )
= $true )
& ? [X2: $i] :
( ( X1 @ X2 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
~ ? [X0: ( $i > $o ) > $i] :
! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
!= $true )
=> ( ( X1 @ ( X0 @ X1 ) )
!= $true ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $i > $o ) > $i] :
! [X1: $i > $o] :
( ? [X2: $i] :
( ( X1 @ X2 )
!= $true )
=> ( ( X1 @ ( X0 @ X1 ) )
!= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $i > $o ) > $i] :
! [X1: $i > $o] :
( ? [X2: $i] :
~ ( X1 @ X2 )
=> ~ ( X1 @ ( X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $i > $o ) > $i] :
! [X1: $i > $o] :
( ? [X2: $i] :
~ ( X1 @ X2 )
=> ~ ( X1 @ ( X0 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: ( $i > $o ) > $i] :
! [X1: $i > $o] :
( ? [X2: $i] :
~ ( X1 @ X2 )
=> ~ ( X1 @ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cAnh4ODIz5/DTF2THF_20363.p',choicecomp) ).
thf(f11,plain,
! [X0: $tType,X2: X0,X1: X0 > $o] :
( ( ( !! @ X0 @ X1 )
= $false )
| ( $true
= ( X1 @ X2 ) ) ),
introduced(definition,[],[pi_proxy_axiom]) ).
thf(f28,plain,
! [X0: ( $i > $o ) > $i] :
( $true
!= ( sK2 @ X0 @ ( sK3 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO548^1 : TPTP v9.2.1. Released v5.2.0.
% 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 14:33:52 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : SYO548^1 : TPTP v9.2.1. Released v5.2.0.
% 0.30/0.45 % Domain : Syntactic
% 0.30/0.45 % Problem : hoice complement
% 0.30/0.45 % Version : Especial.
% 0.30/0.45 % English : There is an operator that chooses an element not in the predicate,
% 0.30/0.45 % if there is one.
% 0.30/0.45
% 0.30/0.45 % Refs : [Bac10] Backes (2010), Tableaux for Higher-Order Logic with If
% 0.30/0.45 % : [Bro11] Brown E. (2011), Email to Geoff Sutcliffe
% 0.30/0.45 % Source : [Bro11]
% 0.30/0.45 % Names : CHOICE25 [Bro11]
% 0.30/0.45
% 0.30/0.45 % Status : Theorem
% 0.30/0.45 % Rating : 0.50 v8.2.0, 0.45 v8.1.0, 0.58 v7.4.0, 0.56 v7.3.0, 0.60 v7.2.0, 0.50 v7.1.0, 0.57 v7.0.0, 0.62 v6.4.0, 0.57 v6.3.0, 0.67 v6.2.0, 0.83 v6.1.0, 0.67 v6.0.0, 0.83 v5.5.0, 0.80 v5.4.0, 0.75 v5.2.0
% 0.30/0.45 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.30/0.45 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 0 ( 0 avg)
% 0.30/0.45 % Number of connectives : 6 ( 2 ~; 0 |; 0 &; 3 @)
% 0.30/0.45 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 7 ( 7 avg)
% 0.30/0.45 % Number of types : 2 ( 0 usr)
% 0.30/0.45 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.30/0.45 % Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% 0.30/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.30/0.45
% 0.30/0.45 % Comments :
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(choicecomp,conjecture,
% 0.30/0.45 ? [E: ( $i > $o ) > $i] :
% 0.30/0.45 ! [P: $i > $o] :
% 0.30/0.45 ( ? [X: $i] :
% 0.30/0.45 ~ ( P @ X )
% 0.30/0.45 => ~ ( P @ ( E @ P ) ) ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.46/1.27 ---- Embedded in THF ---
% 1.46/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.27 %%% Generated on Tue Feb 24 14:33:53 EST 2026
% 1.46/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.27 %%% Logic specification used:
% 1.46/1.27 %%% thf(spec, logic, $$dhol).
% 1.46/1.27
% 1.46/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.cAnh4ODIz5/DTF2DTF20363.p
% See solution above
% 1.46/1.27 ------------------------
% 1.46/1.28 ---- Cleaned THF ---
% 1.46/1.28 thf(choicecomp,conjecture,
% 1.46/1.28 ? [E: ( $i > $o ) > $i] :
% 1.46/1.28 ! [P: $i > $o] :
% 1.46/1.28 ( ? [X: $i] :
% 1.46/1.28 ~ ( P @ X )
% 1.46/1.28 => ~ ( P @ ( E @ P ) ) ) ).
% 1.46/1.28 ------------------------
% 1.63/1.30 % (20481)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_20363 for (2999ds/2Mi)
% 1.63/1.30 % (20481)Instruction limit reached!
% 1.63/1.30 % (20481)------------------------------
% 1.63/1.30 % (20481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.30 % (20481)Termination reason: Unknown
% 1.63/1.30 % (20481)Termination phase: Saturation
% 1.63/1.30
% 1.63/1.30 % (20481)Memory used [KB]: 5500
% 1.63/1.30 % (20481)Time elapsed: 0.002 s
% 1.63/1.30 % (20481)Instructions burned: 2 (million)
% 1.63/1.30 % (20481)------------------------------
% 1.63/1.30 % (20481)------------------------------
% 1.63/1.31 % (20478)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_20363 for (2999ds/4Mi)
% 1.63/1.31 % (20477)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/183Mi)
% 1.63/1.31 % (20480)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/2Mi)
% 1.63/1.31 % (20479)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_20363 for (2999ds/27Mi)
% 1.63/1.31 % (20483)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/18Mi)
% 1.63/1.31 % (20482)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_20363 for (2999ds/275Mi)
% 1.63/1.31 % (20480)Refutation not found, incomplete strategy
% 1.63/1.31 % (20480)------------------------------
% 1.63/1.31 % (20480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (20480)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.31
% 1.63/1.31
% 1.63/1.31 % (20480)Memory used [KB]: 5500
% 1.63/1.31 % (20480)Time elapsed: 0.003 s
% 1.63/1.31 % (20480)Instructions burned: 1 (million)
% 1.63/1.31 % (20480)------------------------------
% 1.63/1.31 % (20480)------------------------------
% 1.63/1.31 % (20482)Refutation not found, incomplete strategy
% 1.63/1.31 % (20482)------------------------------
% 1.63/1.31 % (20482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (20482)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.31
% 1.63/1.31
% 1.63/1.31 % (20482)Memory used [KB]: 5500
% 1.63/1.31 % (20482)Time elapsed: 0.003 s
% 1.63/1.31 % (20482)Instructions burned: 1 (million)
% 1.63/1.31 % (20482)------------------------------
% 1.63/1.31 % (20482)------------------------------
% 1.63/1.31 % (20479)Refutation not found, incomplete strategy
% 1.63/1.31 % (20479)------------------------------
% 1.63/1.31 % (20479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (20479)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.31
% 1.63/1.31
% 1.63/1.31 % (20479)Memory used [KB]: 5500
% 1.63/1.31 % (20479)Time elapsed: 0.004 s
% 1.63/1.31 % (20479)Instructions burned: 2 (million)
% 1.63/1.31 % (20479)------------------------------
% 1.63/1.31 % (20479)------------------------------
% 1.63/1.31 % (20478)Instruction limit reached!
% 1.63/1.31 % (20478)------------------------------
% 1.63/1.31 % (20478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (20478)Termination reason: Unknown
% 1.63/1.31 % (20478)Termination phase: Saturation
% 1.63/1.31
% 1.63/1.31 % (20478)Memory used [KB]: 5500
% 1.63/1.31 % (20478)Time elapsed: 0.005 s
% 1.63/1.31 % (20478)Instructions burned: 4 (million)
% 1.63/1.31 % (20478)------------------------------
% 1.63/1.31 % (20478)------------------------------
% 1.63/1.32 % (20484)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/3Mi)
% 1.63/1.32 % (20483)Instruction limit reached!
% 1.63/1.32 % (20483)------------------------------
% 1.63/1.32 % (20483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (20483)Termination reason: Unknown
% 1.63/1.32 % (20483)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (20483)Memory used [KB]: 5756
% 1.63/1.32 % (20483)Time elapsed: 0.012 s
% 1.63/1.32 % (20483)Instructions burned: 18 (million)
% 1.63/1.32 % (20483)------------------------------
% 1.63/1.32 % (20483)------------------------------
% 1.63/1.32 % (20484)Instruction limit reached!
% 1.63/1.32 % (20484)------------------------------
% 1.63/1.32 % (20484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.32 % (20484)Termination reason: Unknown
% 1.63/1.32 % (20484)Termination phase: Saturation
% 1.63/1.32
% 1.63/1.32 % (20484)Memory used [KB]: 5500
% 1.63/1.32 % (20484)Time elapsed: 0.003 s
% 1.63/1.32 % (20484)Instructions burned: 3 (million)
% 1.63/1.32 % (20484)------------------------------
% 1.63/1.32 % (20484)------------------------------
% 1.63/1.32 % (20485)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_20363 for (2999ds/37Mi)
% 1.63/1.33 % (20486)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_20363 for (2999ds/15Mi)
% 1.63/1.33 % (20487)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_20363 for (2999ds/3Mi)
% 1.63/1.33 % (20488)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_20363 for (2999ds/1041Mi)
% 1.63/1.33 % (20490)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/16Mi)
% 1.63/1.33 % (20486)Refutation not found, incomplete strategy
% 1.63/1.33 % (20486)------------------------------
% 1.63/1.33 % (20486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (20486)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.33
% 1.63/1.33
% 1.63/1.33 % (20486)Memory used [KB]: 5500
% 1.63/1.33 % (20486)Time elapsed: 0.003 s
% 1.63/1.33 % (20486)Instructions burned: 1 (million)
% 1.63/1.33 % (20486)------------------------------
% 1.63/1.33 % (20486)------------------------------
% 1.63/1.33 % (20487)Instruction limit reached!
% 1.63/1.33 % (20487)------------------------------
% 1.63/1.33 % (20487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (20487)Termination reason: Unknown
% 1.63/1.33 % (20487)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (20487)Memory used [KB]: 5500
% 1.63/1.33 % (20487)Time elapsed: 0.004 s
% 1.63/1.33 % (20487)Instructions burned: 3 (million)
% 1.63/1.33 % (20487)------------------------------
% 1.63/1.33 % (20487)------------------------------
% 1.63/1.33 % (20488)Refutation not found, incomplete strategy
% 1.63/1.33 % (20488)------------------------------
% 1.63/1.33 % (20488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (20488)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.33
% 1.63/1.33
% 1.63/1.33 % (20488)Memory used [KB]: 5500
% 1.63/1.33 % (20488)Time elapsed: 0.006 s
% 1.63/1.33 % (20488)Instructions burned: 5 (million)
% 1.63/1.33 % (20488)------------------------------
% 1.63/1.33 % (20488)------------------------------
% 1.63/1.33 % (20490)Instruction limit reached!
% 1.63/1.33 % (20490)------------------------------
% 1.63/1.33 % (20490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.33 % (20490)Termination reason: Unknown
% 1.63/1.33 % (20490)Termination phase: Saturation
% 1.63/1.33
% 1.63/1.33 % (20490)Memory used [KB]: 5500
% 1.63/1.33 % (20490)Time elapsed: 0.008 s
% 1.63/1.33 % (20490)Instructions burned: 16 (million)
% 1.63/1.33 % (20490)------------------------------
% 1.63/1.33 % (20490)------------------------------
% 1.63/1.33 % (20489)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/7Mi)
% 1.63/1.34 % (20489)Instruction limit reached!
% 1.63/1.34 % (20489)------------------------------
% 1.63/1.34 % (20489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (20489)Termination reason: Unknown
% 1.63/1.34 % (20489)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (20489)Memory used [KB]: 1023
% 1.63/1.34 % (20489)Time elapsed: 0.007 s
% 1.63/1.34 % (20489)Instructions burned: 8 (million)
% 1.63/1.34 % (20489)------------------------------
% 1.63/1.34 % (20489)------------------------------
% 1.63/1.34 % (20494)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/3Mi)
% 1.63/1.34 % (20494)Instruction limit reached!
% 1.63/1.34 % (20494)------------------------------
% 1.63/1.34 % (20494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (20494)Termination reason: Unknown
% 1.63/1.34 % (20494)Termination phase: Saturation
% 1.63/1.34
% 1.63/1.34 % (20494)Memory used [KB]: 5500
% 1.63/1.34 % (20494)Time elapsed: 0.003 s
% 1.63/1.34 % (20494)Instructions burned: 3 (million)
% 1.63/1.34 % (20494)------------------------------
% 1.63/1.34 % (20494)------------------------------
% 1.63/1.34 % (20485)Instruction limit reached!
% 1.63/1.34 % (20485)------------------------------
% 1.63/1.34 % (20485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.34 % (20485)Termination reason: Unknown
% 1.63/1.34 % (20485)Termination phase: Saturation
% 1.63/1.35
% 1.63/1.35 % (20485)Memory used [KB]: 6012
% 1.63/1.35 % (20485)Time elapsed: 0.022 s
% 1.63/1.35 % (20485)Instructions burned: 38 (million)
% 1.63/1.35 % (20485)------------------------------
% 1.63/1.35 % (20485)------------------------------
% 1.63/1.35 % (20492)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_20363 for (2999ds/3Mi)
% 1.63/1.35 % (20491)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_20363 for (2999ds/3Mi)
% 1.63/1.35 % (20493)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/7Mi)
% 1.63/1.35 % (20493)Refutation not found, incomplete strategy
% 1.63/1.35 % (20493)------------------------------
% 1.63/1.35 % (20493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (20493)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.35
% 1.63/1.35
% 1.63/1.35 % (20493)Memory used [KB]: 5373
% 1.63/1.35 % (20493)Time elapsed: 0.002 s
% 1.63/1.35 % (20493)Instructions burned: 1 (million)
% 1.63/1.35 % (20493)------------------------------
% 1.63/1.35 % (20493)------------------------------
% 1.63/1.35 % (20492)Instruction limit reached!
% 1.63/1.35 % (20492)------------------------------
% 1.63/1.35 % (20492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (20492)Termination reason: Unknown
% 1.63/1.35 % (20492)Termination phase: Saturation
% 1.63/1.35
% 1.63/1.35 % (20492)Memory used [KB]: 5500
% 1.63/1.35 % (20492)Time elapsed: 0.004 s
% 1.63/1.35 % (20492)Instructions burned: 3 (million)
% 1.63/1.35 % (20492)------------------------------
% 1.63/1.35 % (20492)------------------------------
% 1.63/1.35 % (20491)Refutation not found, incomplete strategy
% 1.63/1.35 % (20491)------------------------------
% 1.63/1.35 % (20491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (20491)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.35
% 1.63/1.35
% 1.63/1.35 % (20491)Memory used [KB]: 5500
% 1.63/1.35 % (20491)Time elapsed: 0.004 s
% 1.63/1.35 % (20491)Instructions burned: 2 (million)
% 1.63/1.35 % (20491)------------------------------
% 1.63/1.35 % (20491)------------------------------
% 1.63/1.35 % (20496)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/18Mi)
% 1.63/1.35 % (20496)Refutation not found, incomplete strategy
% 1.63/1.35 % (20496)------------------------------
% 1.63/1.35 % (20496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.35 % (20496)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.35
% 1.63/1.35
% 1.63/1.36 % (20496)Memory used [KB]: 5500
% 1.63/1.36 % (20496)Time elapsed: 0.002 s
% 1.63/1.36 % (20496)Instructions burned: 1 (million)
% 1.63/1.36 % (20496)------------------------------
% 1.63/1.36 % (20496)------------------------------
% 1.63/1.36 % (20495)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/4Mi)
% 1.63/1.36 % (20498)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/6Mi)
% 1.63/1.36 % (20498)Refutation not found, incomplete strategy
% 1.63/1.36 % (20498)------------------------------
% 1.63/1.36 % (20498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (20498)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.36
% 1.63/1.36
% 1.63/1.36 % (20498)Memory used [KB]: 5500
% 1.63/1.36 % (20498)Time elapsed: 0.003 s
% 1.63/1.36 % (20498)Instructions burned: 1 (million)
% 1.63/1.36 % (20498)------------------------------
% 1.63/1.36 % (20498)------------------------------
% 1.63/1.36 % (20495)Instruction limit reached!
% 1.63/1.36 % (20495)------------------------------
% 1.63/1.36 % (20495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.36 % (20495)Termination reason: Unknown
% 1.63/1.36 % (20495)Termination phase: Saturation
% 1.63/1.36
% 1.63/1.36 % (20495)Memory used [KB]: 5500
% 1.63/1.36 % (20495)Time elapsed: 0.005 s
% 1.63/1.36 % (20495)Instructions burned: 4 (million)
% 1.63/1.36 % (20495)------------------------------
% 1.63/1.36 % (20495)------------------------------
% 1.63/1.36 % (20497)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/710Mi)
% 1.63/1.36 % (20500)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_20363 for (2999ds/21Mi)
% 1.63/1.36 % (20499)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_20363 for (2999ds/902Mi)
% 1.63/1.37 % (20501)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/5Mi)
% 1.63/1.37 % (20499)Refutation not found, incomplete strategy
% 1.63/1.37 % (20499)------------------------------
% 1.63/1.37 % (20499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (20499)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.37
% 1.63/1.37
% 1.63/1.37 % (20499)Memory used [KB]: 5500
% 1.63/1.37 % (20499)Time elapsed: 0.003 s
% 1.63/1.37 % (20499)Instructions burned: 1 (million)
% 1.63/1.37 % (20499)------------------------------
% 1.63/1.37 % (20499)------------------------------
% 1.63/1.37 % (20501)Instruction limit reached!
% 1.63/1.37 % (20501)------------------------------
% 1.63/1.37 % (20501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (20501)Termination reason: Unknown
% 1.63/1.37 % (20501)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (20501)Memory used [KB]: 5500
% 1.63/1.37 % (20501)Time elapsed: 0.004 s
% 1.63/1.37 % (20501)Instructions burned: 6 (million)
% 1.63/1.37 % (20501)------------------------------
% 1.63/1.37 % (20501)------------------------------
% 1.63/1.37 % (20502)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_20363 for (2999ds/6Mi)
% 1.63/1.37 % (20502)Instruction limit reached!
% 1.63/1.37 % (20502)------------------------------
% 1.63/1.37 % (20502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (20502)Termination reason: Unknown
% 1.63/1.37 % (20502)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (20502)Memory used [KB]: 5500
% 1.63/1.37 % (20502)Time elapsed: 0.004 s
% 1.63/1.37 % (20502)Instructions burned: 6 (million)
% 1.63/1.37 % (20502)------------------------------
% 1.63/1.37 % (20502)------------------------------
% 1.63/1.37 % (20477)Instruction limit reached!
% 1.63/1.37 % (20477)------------------------------
% 1.63/1.37 % (20477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (20477)Termination reason: Unknown
% 1.63/1.37 % (20477)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (20477)Memory used [KB]: 9466
% 1.63/1.37 % (20477)Time elapsed: 0.068 s
% 1.63/1.37 % (20477)Instructions burned: 186 (million)
% 1.63/1.37 % (20477)------------------------------
% 1.63/1.37 % (20477)------------------------------
% 1.63/1.37 % (20500)Instruction limit reached!
% 1.63/1.37 % (20500)------------------------------
% 1.63/1.37 % (20500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.37 % (20500)Termination reason: Unknown
% 1.63/1.37 % (20500)Termination phase: Saturation
% 1.63/1.37
% 1.63/1.37 % (20500)Memory used [KB]: 5628
% 1.63/1.37 % (20500)Time elapsed: 0.011 s
% 1.63/1.37 % (20500)Instructions burned: 21 (million)
% 1.63/1.37 % (20500)------------------------------
% 1.63/1.37 % (20500)------------------------------
% 1.63/1.38 % (20503)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/377Mi)
% 1.63/1.38 % (20505)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_20363 for (2999ds/19Mi)
% 1.63/1.38 % (20503)Refutation not found, incomplete strategy
% 1.63/1.38 % (20503)------------------------------
% 1.63/1.38 % (20503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (20503)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.38
% 1.63/1.38
% 1.63/1.38 % (20503)Memory used [KB]: 5500
% 1.63/1.38 % (20503)Time elapsed: 0.003 s
% 1.63/1.38 % (20503)Instructions burned: 1 (million)
% 1.63/1.38 % (20503)------------------------------
% 1.63/1.38 % (20503)------------------------------
% 1.63/1.38 % (20505)Refutation not found, incomplete strategy
% 1.63/1.38 % (20505)------------------------------
% 1.63/1.38 % (20505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (20505)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.38
% 1.63/1.38
% 1.63/1.38 % (20505)Memory used [KB]: 5500
% 1.63/1.38 % (20505)Time elapsed: 0.002 s
% 1.63/1.38 % (20505)Instructions burned: 1 (million)
% 1.63/1.38 % (20505)------------------------------
% 1.63/1.38 % (20505)------------------------------
% 1.63/1.38 % (20506)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/879Mi)
% 1.63/1.38 % (20506)Refutation not found, incomplete strategy
% 1.63/1.38 % (20506)------------------------------
% 1.63/1.38 % (20506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.38 % (20507)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/17Mi)
% 1.63/1.38 % (20506)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.38
% 1.63/1.38
% 1.63/1.38 % (20506)Memory used [KB]: 5500
% 1.63/1.38 % (20506)Time elapsed: 0.002 s
% 1.63/1.38 % (20506)Instructions burned: 1 (million)
% 1.63/1.38 % (20506)------------------------------
% 1.63/1.38 % (20506)------------------------------
% 1.63/1.38 % (20504)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_20363 for (2999ds/779Mi)
% 1.63/1.38 % (20508)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/3Mi)
% 1.63/1.39 % (20508)Instruction limit reached!
% 1.63/1.39 % (20508)------------------------------
% 1.63/1.39 % (20508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (20508)Termination reason: Unknown
% 1.63/1.39 % (20508)Termination phase: Saturation
% 1.63/1.39
% 1.63/1.39 % (20508)Memory used [KB]: 5500
% 1.63/1.39 % (20508)Time elapsed: 0.003 s
% 1.63/1.39 % (20508)Instructions burned: 3 (million)
% 1.63/1.39 % (20508)------------------------------
% 1.63/1.39 % (20508)------------------------------
% 1.63/1.39 % (20507)Instruction limit reached!
% 1.63/1.39 % (20507)------------------------------
% 1.63/1.39 % (20507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (20507)Termination reason: Unknown
% 1.63/1.39 % (20507)Termination phase: Saturation
% 1.63/1.39
% 1.63/1.39 % (20507)Memory used [KB]: 5756
% 1.63/1.39 % (20507)Time elapsed: 0.007 s
% 1.63/1.39 % (20507)Instructions burned: 17 (million)
% 1.63/1.39 % (20507)------------------------------
% 1.63/1.39 % (20507)------------------------------
% 1.63/1.39 % (20510)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/127Mi)
% 1.63/1.39 % (20511)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/100Mi)
% 1.63/1.39 % (20511)Refutation not found, incomplete strategy
% 1.63/1.39 % (20511)------------------------------
% 1.63/1.39 % (20511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.39 % (20511)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.39
% 1.63/1.39
% 1.63/1.39 % (20511)Memory used [KB]: 5500
% 1.63/1.39 % (20511)Time elapsed: 0.002 s
% 1.63/1.39 % (20511)Instructions burned: 1 (million)
% 1.63/1.39 % (20511)------------------------------
% 1.63/1.39 % (20511)------------------------------
% 1.63/1.40 % (20512)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_20363 for (2999ds/3Mi)
% 1.63/1.40 % (20509)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_20363 for (2999ds/30Mi)
% 1.63/1.40 % (20512)Instruction limit reached!
% 1.63/1.40 % (20512)------------------------------
% 1.63/1.40 % (20512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (20512)Termination reason: Unknown
% 1.63/1.40 % (20512)Termination phase: Saturation
% 1.63/1.40
% 1.63/1.40 % (20512)Memory used [KB]: 5500
% 1.63/1.40 % (20512)Time elapsed: 0.003 s
% 1.63/1.40 % (20512)Instructions burned: 3 (million)
% 1.63/1.40 % (20512)------------------------------
% 1.63/1.40 % (20512)------------------------------
% 1.63/1.40 % (20513)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_20363 for (2999ds/20Mi)
% 1.63/1.40 % (20513)Refutation not found, incomplete strategy
% 1.63/1.40 % (20513)------------------------------
% 1.63/1.40 % (20513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (20513)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.40
% 1.63/1.40
% 1.63/1.40 % (20513)Memory used [KB]: 5500
% 1.63/1.40 % (20513)Time elapsed: 0.002 s
% 1.63/1.40 % (20513)Instructions burned: 1 (million)
% 1.63/1.40 % (20513)------------------------------
% 1.63/1.40 % (20513)------------------------------
% 1.63/1.40 % (20514)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_20363 for (2999ds/86Mi)
% 1.63/1.40 % (20514)Refutation not found, incomplete strategy
% 1.63/1.40 % (20514)------------------------------
% 1.63/1.40 % (20514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.40 % (20514)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.40
% 1.63/1.40
% 1.63/1.40 % (20514)Memory used [KB]: 5500
% 1.63/1.40 % (20514)Time elapsed: 0.002 s
% 1.63/1.40 % (20514)Instructions burned: 1 (million)
% 1.63/1.40 % (20514)------------------------------
% 1.63/1.40 % (20514)------------------------------
% 1.63/1.41 % (20515)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_20363 for (2998ds/107Mi)
% 1.63/1.41 % (20515)Refutation not found, incomplete strategy
% 1.63/1.41 % (20515)------------------------------
% 1.63/1.41 % (20515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (20515)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.41
% 1.63/1.41
% 1.63/1.41 % (20515)Memory used [KB]: 5500
% 1.63/1.41 % (20515)Time elapsed: 0.002 s
% 1.63/1.41 % (20515)Instructions burned: 1 (million)
% 1.63/1.41 % (20515)------------------------------
% 1.63/1.41 % (20515)------------------------------
% 1.63/1.41 % (20516)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_20363 for (2998ds/39Mi)
% 1.63/1.41 % (20509)Instruction limit reached!
% 1.63/1.41 % (20509)------------------------------
% 1.63/1.41 % (20509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.41 % (20509)Termination reason: Unknown
% 1.63/1.41 % (20509)Termination phase: Saturation
% 1.63/1.41
% 1.63/1.41 % (20509)Memory used [KB]: 6012
% 1.63/1.41 % (20509)Time elapsed: 0.018 s
% 1.63/1.41 % (20509)Instructions burned: 30 (million)
% 1.63/1.41 % (20509)------------------------------
% 1.63/1.41 % (20509)------------------------------
% 1.63/1.41 % (20517)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_20363 for (2998ds/448Mi)
% 1.63/1.42 % (20518)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_20363 for (2998ds/46Mi)
% 1.63/1.42 % (20516)Instruction limit reached!
% 1.63/1.42 % (20516)------------------------------
% 1.63/1.42 % (20516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.42 % (20516)Termination reason: Unknown
% 1.63/1.42 % (20516)Termination phase: Saturation
% 1.63/1.42
% 1.63/1.42 % (20516)Memory used [KB]: 6140
% 1.63/1.42 % (20516)Time elapsed: 0.014 s
% 1.63/1.42 % (20516)Instructions burned: 42 (million)
% 1.63/1.42 % (20516)------------------------------
% 1.63/1.42 % (20516)------------------------------
% 1.63/1.42 % (20518)Refutation not found, incomplete strategy
% 1.63/1.42 % (20518)------------------------------
% 1.63/1.42 % (20518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.42 % (20518)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.42
% 1.63/1.42
% 1.63/1.42 % (20518)Memory used [KB]: 5500
% 1.63/1.42 % (20518)Time elapsed: 0.004 s
% 1.63/1.42 % (20518)Instructions burned: 6 (million)
% 1.63/1.42 % (20518)------------------------------
% 1.63/1.42 % (20518)------------------------------
% 1.63/1.43 % (20510)Instruction limit reached!
% 1.63/1.43 % (20510)------------------------------
% 1.63/1.43 % (20510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (20510)Termination reason: Unknown
% 1.63/1.43 % (20510)Termination phase: Saturation
% 1.63/1.43
% 1.63/1.43 % (20510)Memory used [KB]: 7675
% 1.63/1.43 % (20510)Time elapsed: 0.038 s
% 1.63/1.43 % (20510)Instructions burned: 130 (million)
% 1.63/1.43 % (20510)------------------------------
% 1.63/1.43 % (20510)------------------------------
% 1.63/1.43 % (20519)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_20363 for (2998ds/98Mi)
% 1.63/1.43 % (20519)Refutation not found, incomplete strategy
% 1.63/1.43 % (20519)------------------------------
% 1.63/1.43 % (20519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (20519)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (20519)Memory used [KB]: 1023
% 1.63/1.43 % (20519)Time elapsed: 0.003 s
% 1.63/1.43 % (20519)Instructions burned: 2 (million)
% 1.63/1.43 % (20519)------------------------------
% 1.63/1.43 % (20519)------------------------------
% 1.63/1.43 % (20520)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_20363 for (2998ds/507Mi)
% 1.63/1.43 % (20521)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_20363 for (2998ds/149Mi)
% 1.63/1.43 % (20521)Refutation not found, incomplete strategy
% 1.63/1.43 % (20521)------------------------------
% 1.63/1.43 % (20521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (20521)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.43
% 1.63/1.43
% 1.63/1.43 % (20521)Memory used [KB]: 5500
% 1.63/1.43 % (20521)Time elapsed: 0.002 s
% 1.63/1.43 % (20521)Instructions burned: 1 (million)
% 1.63/1.43 % (20521)------------------------------
% 1.63/1.43 % (20521)------------------------------
% 1.63/1.43 % (20520)First to succeed.
% 1.63/1.43 % (20520)Refutation found. Thanks to Tanya!
% 1.63/1.43 % SZS status Theorem for DTF2THF_20363
% 1.63/1.43 % SZS output start Proof for DTF2THF_20363
% 1.63/1.43 thf(func_def_3, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.63/1.43 thf(func_def_4, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.63/1.43 thf(func_def_12, type, sK2: (($i > $o) > $i) > $i > $o).
% 1.63/1.43 thf(func_def_13, type, sK3: (($i > $o) > $i) > $i).
% 1.63/1.43 thf(func_def_15, type, ph5: !>[X0: $tType]:(X0)).
% 1.63/1.43 thf(f42,plain,(
% 1.63/1.43 $false),
% 1.63/1.43 inference(trivial_inequality_removal,[status(thm)],[f40])).
% 1.63/1.43 thf(f40,plain,(
% 1.63/1.43 ($true != $true)),
% 1.63/1.43 inference(superposition,[status(thm)],[f28,f38])).
% 1.63/1.43 thf(f38,plain,(
% 1.63/1.43 ( ! [X0 : $i] : (((sK2 @ sK0 @ $i @ X0) = $true)) )),
% 1.63/1.43 inference(trivial_inequality_removal,[status(thm)],[f36])).
% 1.63/1.43 thf(f36,plain,(
% 1.63/1.43 ( ! [X0 : $i] : (($true = $false) | ((sK2 @ sK0 @ $i @ X0) = $true)) )),
% 1.63/1.43 inference(superposition,[status(thm)],[f11,f34])).
% 1.63/1.43 thf(f34,plain,(
% 1.63/1.43 ($true = (!! @ $i @ (sK2 @ sK0 @ $i)))),
% 1.63/1.43 inference(trivial_inequality_removal,[status(thm)],[f31])).
% 1.63/1.43 thf(f31,plain,(
% 1.63/1.43 ($true = $false) | ($true = (!! @ $i @ (sK2 @ sK0 @ $i)))),
% 1.63/1.43 inference(superposition,[status(thm)],[f29,f10])).
% 1.63/1.43 thf(f10,plain,(
% 1.63/1.43 ( ! [X0 : $tType,X1 : X0 > $o] : (((X1 @ (sK0 @ X0 @ X1)) = $false) | ((!! @ X0 @ X1) = $true)) )),
% 1.63/1.43 introduced(definition,[],[pi_proxy_axiom])).
% 1.63/1.43 thf(f29,plain,(
% 1.63/1.43 ( ! [X0 : ($i > $o) > $i] : (($true = (sK2 @ X0 @ (X0 @ (sK2 @ X0))))) )),
% 1.63/1.43 inference(cnf_transformation,[status(thm)],[f27])).
% 1.63/1.43 thf(f27,plain,(
% 1.63/1.43 ! [X0 : ($i > $o) > $i] : (($true = (sK2 @ X0 @ (X0 @ (sK2 @ X0)))) & ($true != (sK2 @ X0 @ (sK3 @ X0))))),
% 1.63/1.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f24,f26,f25])).
% 1.63/1.43 thf(f25,plain,(
% 1.63/1.43 ! [X0 : ($i > $o) > $i] : (? [X1 : $i > $o] : (((X1 @ (X0 @ X1)) = $true) & ? [X2 : $i] : ((X1 @ X2) != $true)) => (($true = (sK2 @ X0 @ (X0 @ (sK2 @ X0)))) & ? [X2 : $i] : ((sK2 @ X0 @ X2) != $true)))),
% 1.63/1.43 introduced(definition,[],[choice_axiom])).
% 1.63/1.43 thf(f26,plain,(
% 1.63/1.43 ! [X0 : ($i > $o) > $i] : (? [X2 : $i] : ((sK2 @ X0 @ X2) != $true) => ($true != (sK2 @ X0 @ (sK3 @ X0))))),
% 1.63/1.43 introduced(definition,[],[choice_axiom])).
% 1.63/1.43 thf(f24,plain,(
% 1.63/1.43 ! [X0 : ($i > $o) > $i] : ? [X1 : $i > $o] : (((X1 @ (X0 @ X1)) = $true) & ? [X2 : $i] : ((X1 @ X2) != $true))),
% 1.63/1.43 inference(ennf_transformation,[status(thm)],[f23])).
% 1.63/1.43 thf(f23,plain,(
% 1.63/1.43 ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2 : $i] : ((X1 @ X2) != $true) => ((X1 @ (X0 @ X1)) != $true))),
% 1.63/1.43 inference(flattening,[status(thm)],[f5])).
% 1.63/1.43 thf(f5,plain,(
% 1.63/1.43 ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2 : $i] : ~((X1 @ X2) = $true) => ~((X1 @ (X0 @ X1)) = $true))),
% 1.63/1.43 inference(fool_elimination,[status(thm)],[f4])).
% 1.63/1.43 thf(f4,plain,(
% 1.63/1.43 ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2 : $i] : ~(X1 @ X2) => ~(X1 @ (X0 @ X1)))),
% 1.63/1.43 inference(rectify,[status(thm)],[f2])).
% 1.63/1.43 thf(f2,negated_conjecture,(
% 1.63/1.43 ~? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2 : $i] : ~(X1 @ X2) => ~(X1 @ (X0 @ X1)))),
% 1.63/1.43 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.43 thf(f1,conjecture,(
% 1.63/1.43 ? [X0 : ($i > $o) > $i] : ! [X1 : $i > $o] : (? [X2 : $i] : ~(X1 @ X2) => ~(X1 @ (X0 @ X1)))),
% 1.63/1.43 file('/export/starexec/sandbox2/tmp/tmp.cAnh4ODIz5/DTF2THF_20363.p',choicecomp)).
% 1.63/1.43 thf(f11,plain,(
% 1.63/1.43 ( ! [X0 : $tType,X2 : X0,X1 : X0 > $o] : (((!! @ X0 @ X1) = $false) | ($true = (X1 @ X2))) )),
% 1.63/1.43 introduced(definition,[],[pi_proxy_axiom])).
% 1.63/1.43 thf(f28,plain,(
% 1.63/1.43 ( ! [X0 : ($i > $o) > $i] : (($true != (sK2 @ X0 @ (sK3 @ X0)))) )),
% 1.63/1.43 inference(cnf_transformation,[status(thm)],[f27])).
% 1.63/1.43 % SZS output end Proof for DTF2THF_20363
% 1.63/1.43 % (20520)------------------------------
% 1.63/1.43 % (20520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.43 % (20520)Termination reason: Refutation
% 1.63/1.43
% 1.63/1.43 % (20520)Memory used [KB]: 5500
% 1.63/1.43 % (20520)Time elapsed: 0.004 s
% 1.63/1.43 % (20520)Instructions burned: 3 (million)
% 1.63/1.43 % (20520)------------------------------
% 1.63/1.43 % (20520)------------------------------
% 1.63/1.43 % (20476)Success in time 0.132 s
%------------------------------------------------------------------------------