%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ150^18 : TPTP v9.2.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:28:37 AM UTC 2026
% Result : Theorem 1.74s 1.37s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 255 ( 46 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 458 ( 31 ~; 3 |; 23 &; 346 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 26 usr; 11 con; 0-3 aty)
% ( 16 !!; 17 ??; 0 @@+; 0 @@-)
% Number of variables : 108 ( 90 ^; 16 !; 2 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mindex: $tType ).
thf(type_def_6,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mindex: $tType ).
thf(func_def_2,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_3,type,
'#c': mindex ).
thf(func_def_4,type,
'#b': mindex ).
thf(func_def_5,type,
'#a': mindex ).
thf(func_def_6,type,
mactual: mworld ).
thf(func_def_7,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_9,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_15,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_16,type,
c0: mworld > $o ).
thf(func_def_17,type,
c1: mworld > $o ).
thf(func_def_18,type,
b0: mworld > $o ).
thf(func_def_19,type,
c2: mworld > $o ).
thf(func_def_20,type,
b1: mworld > $o ).
thf(func_def_21,type,
a0: mworld > $o ).
thf(func_def_22,type,
b2: mworld > $o ).
thf(func_def_23,type,
a1: mworld > $o ).
thf(func_def_24,type,
a2: mworld > $o ).
thf(func_def_25,type,
cb: mworld > $o ).
thf(func_def_41,type,
sK1: mworld ).
thf(func_def_42,type,
sK2: mworld ).
thf(func_def_43,type,
sK3: mworld ).
thf(f243,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f241]) ).
thf(f241,plain,
$false = $true,
inference(superposition,[status(thm)],[f240,f236]) ).
thf(f236,plain,
( $true
= ( a0 @ mactual ) ),
inference(beta_eta_normalization,[status(thm)],[f85]) ).
thf(f85,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ a0 )
= $true ),
inference(definition_unfolding,[status(thm)],[f71,f68]) ).
thf(f68,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
thf(f47,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mlocal_def) ).
thf(f71,plain,
( ( mlocal @ a0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f28]) ).
thf(f28,plain,
( ( mlocal @ a0 )
= $true ),
inference(fool_elimination,[status(thm)],[f27]) ).
thf(f27,plain,
mlocal @ a0,
inference(rectify,[status(thm)],[f19]) ).
thf(f19,axiom,
mlocal @ a0,
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',axiom_a0) ).
thf(f240,plain,
! [X0: mworld] :
( ( a0 @ X0 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f237]) ).
thf(f237,plain,
! [X0: mworld] :
( ( ( a0 @ X0 )
= $false )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f217,f74]) ).
thf(f74,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#c' @ X1 @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#c' @ X1 @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: mworld,X1: mworld] : ( mrel @ '#c' @ X1 @ X0 ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
! [X5: mworld,X2: mworld] : ( mrel @ '#c' @ X2 @ X5 ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p','mrel_#c_universal') ).
thf(f217,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#c' @ sK3 @ X1 ) )
| ( ( a0 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f216]) ).
thf(f216,plain,
! [X1: mworld] :
( ( ( ~ ( a0 @ X1 ) )
= $true )
| ( $false
= ( mrel @ '#c' @ sK3 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f215]) ).
thf(f215,plain,
! [X1: mworld] :
( ( ( mrel @ '#c' @ sK3 @ X1 )
=> ~ ( a0 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f214]) ).
thf(f214,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK3 @ Y0 )
=> ~ ( a0 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f212]) ).
thf(f212,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK3 @ Y0 )
=> ~ ( a0 @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
( ( ( mrel @ '#b' @ sK2 @ sK3 )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK3 @ Y0 )
=> ~ ( a0 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f210]) ).
thf(f210,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK2 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) )
@ sK3 )
= $true ),
inference(sigma_clausification,[status(thm)],[f208]) ).
thf(f208,plain,
( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK2 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f207]) ).
thf(f207,plain,
( ( ( mrel @ '#a' @ sK1 @ sK2 )
& ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK2 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f206]) ).
thf(f206,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK1 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) )
@ sK2 )
= $true ),
inference(sigma_clausification,[status(thm)],[f205]) ).
thf(f205,plain,
( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK1 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[status(thm)],[f203]) ).
thf(f203,plain,
( ( ~ ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK1 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f202]) ).
thf(f202,plain,
( ( ( mrel @ '#b' @ mactual @ sK1 )
=> ~ ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK1 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f201]) ).
thf(f201,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ~ ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#a' @ Y0 @ Y1 )
& ( ?? @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#b' @ Y1 @ Y2 )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ '#c' @ Y2 @ Y3 )
=> ~ ( a0 @ Y3 ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_clausification,[status(thm)],[f200]) ).
thf(f200,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ~ ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#a' @ Y0 @ Y1 )
& ( ?? @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#b' @ Y1 @ Y2 )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ '#c' @ Y2 @ Y3 )
=> ~ ( a0 @ Y3 ) ) ) ) ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[status(thm)],[f90]) ).
thf(f90,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) )
@ '#a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) )
@ '#b'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ a0 ) ) ) ) ) ) )
!= $true ),
inference(definition_unfolding,[status(thm)],[f79,f68,f70,f80,f65,f65,f70,f80]) ).
thf(f65,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
thf(f51,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f50]) ).
thf(f50,plain,
( mdia
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( X1 @ X3 )
& ( mrel @ X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
( mdia
= ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
? [X5: mworld] :
( ( X0 @ X5 )
& ( mrel @ X4 @ X2 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mdia_def) ).
thf(f80,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f59,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[status(thm)],[f58]) ).
thf(f58,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mnot_def) ).
thf(f70,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
thf(f40,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f39]) ).
thf(f39,plain,
( mbox
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X4: mindex,X0: mworld > $o,X2: mworld] :
! [X5: mworld] :
( ( mrel @ X4 @ X2 @ X5 )
=> ( X0 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mbox_def) ).
thf(f79,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f62]) ).
thf(f62,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(flattening,[status(thm)],[f24]) ).
thf(f24,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[status(thm)],[f23]) ).
thf(f23,plain,
~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f21]) ).
thf(f21,negated_conjecture,
~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
thf(f20,conjecture,
mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ150^18 : TPTP v9.2.1. Released v8.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n010.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 11:34:18 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.47 thf(spec,logic,$$dhol).
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 % File : PUZ150^18 : TPTP v9.2.1. Released v8.1.0.
% 0.20/0.47 % Domain : Puzzles
% 0.20/0.47 % Problem : Russian card problem (very simple variant)
% 0.20/0.47 % Version : [BP13] axioms.
% 0.20/0.47 % English : Anne, Bill and Cath draw 0, 1, and 2. Anne knows that Bill knows
% 0.20/0.47 % that Cath knows her own card, etc. Anne has card 0. Then Bill
% 0.20/0.47 % knows that Anne does not consider it possible that Bill considers
% 0.20/0.47 % it possible that Cath knows that Anne does not have card 0.
% 0.20/0.47
% 0.20/0.47 % Refs : [vDK06] van Ditmarsch & Kooi (2006), The Secret of My Success
% 0.20/0.47 % : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.20/0.47 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.20/0.47 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.20/0.47 % Source : [TPTP]
% 0.20/0.47 % Names : MML007+1 [QMLTP]
% 0.20/0.47
% 0.20/0.47 % Status : Theorem
% 0.20/0.47 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0
% 0.20/0.47 % Syntax : Number of formulae : 45 ( 11 unt; 25 typ; 8 def)
% 0.20/0.47 % Number of atoms : 108 ( 8 equ; 0 cnn)
% 0.20/0.47 % Maximal formula atoms : 11 ( 5 avg)
% 0.20/0.47 % Number of connectives : 151 ( 1 ~; 1 |; 2 &; 144 @)
% 0.20/0.47 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.20/0.47 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.47 % Number of types : 3 ( 2 usr)
% 0.20/0.47 % Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% 0.20/0.47 % Number of symbols : 24 ( 23 usr; 4 con; 0-3 aty)
% 0.20/0.47 % Number of variables : 29 ( 21 ^; 7 !; 1 ?; 29 :)
% 0.20/0.47 % SPC : TH0_THM_EQU_NAR
% 0.20/0.47
% 0.20/0.47 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.20/0.47 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.20/0.47 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.20/0.47 % $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.20/0.47 % $modalities == $modal_system_S5U].
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 thf(mworld,type,
% 0.20/0.47 mworld: $tType ).
% 0.20/0.47
% 0.20/0.47 thf(mindex,type,
% 0.20/0.47 mindex: $tType ).
% 0.20/0.47
% 0.20/0.47 thf(mrel_type,type,
% 0.20/0.47 mrel: mindex > mworld > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf('#c_type',type,
% 0.20/0.47 '#c': mindex ).
% 0.20/0.47
% 0.20/0.47 thf('#b_type',type,
% 0.20/0.47 '#b': mindex ).
% 0.20/0.47
% 0.20/0.47 thf('#a_type',type,
% 0.20/0.47 '#a': mindex ).
% 0.20/0.47
% 0.20/0.47 thf(mactual_type,type,
% 0.20/0.47 mactual: mworld ).
% 0.20/0.47
% 0.20/0.47 thf(mlocal_type,type,
% 0.20/0.47 mlocal: ( mworld > $o ) > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mlocal_def,definition,
% 0.20/0.47 ( mlocal
% 0.20/0.47 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mnot_type,type,
% 0.20/0.47 mnot: ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mand_type,type,
% 0.20/0.47 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mor_type,type,
% 0.20/0.47 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mimplies_type,type,
% 0.20/0.47 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mequiv_type,type,
% 0.20/0.47 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mnot_def,definition,
% 0.20/0.47 ( mnot
% 0.20/0.47 = ( ^ [A: mworld > $o,W: mworld] :
% 0.20/0.47 ~ ( A @ W ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mand_def,definition,
% 0.20/0.47 ( mand
% 0.20/0.47 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.47 ( ( A @ W )
% 0.20/0.47 & ( B @ W ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mor_def,definition,
% 0.20/0.47 ( mor
% 0.20/0.47 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.47 ( ( A @ W )
% 0.20/0.47 | ( B @ W ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mimplies_def,definition,
% 0.20/0.47 ( mimplies
% 0.20/0.47 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.47 ( ( A @ W )
% 0.20/0.47 => ( B @ W ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mequiv_def,definition,
% 0.20/0.47 ( mequiv
% 0.20/0.47 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.47 ( ( A @ W )
% 0.20/0.47 <=> ( B @ W ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mbox_type,type,
% 0.20/0.47 mbox: mindex > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mbox_def,definition,
% 0.20/0.47 ( mbox
% 0.20/0.47 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.20/0.47 ! [V: mworld] :
% 0.20/0.47 ( ( mrel @ R @ W @ V )
% 0.20/0.47 => ( Phi @ V ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(mdia_type,type,
% 0.20/0.47 mdia: mindex > ( mworld > $o ) > mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(mdia_def,definition,
% 0.20/0.47 ( mdia
% 0.20/0.47 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.20/0.47 ? [V: mworld] :
% 0.20/0.47 ( ( mrel @ R @ W @ V )
% 0.20/0.47 & ( Phi @ V ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf('mrel_#c_universal',axiom,
% 0.20/0.47 ! [W: mworld,V: mworld] : ( mrel @ '#c' @ W @ V ) ).
% 0.20/0.47
% 0.20/0.47 thf('mrel_#b_universal',axiom,
% 0.20/0.47 ! [W: mworld,V: mworld] : ( mrel @ '#b' @ W @ V ) ).
% 0.20/0.47
% 0.20/0.47 thf('mrel_#a_universal',axiom,
% 0.20/0.47 ! [W: mworld,V: mworld] : ( mrel @ '#a' @ W @ V ) ).
% 0.20/0.47
% 0.20/0.47 %%% This output was generated by tptputils, version 1.2.
% 0.20/0.47 %%% Generated on Wed Apr 27 15:49:37 CEST 2022 using command 'downgrade(tff)'.
% 0.20/0.47 thf(c0_decl,type,
% 0.20/0.47 c0: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(c1_decl,type,
% 0.20/0.47 c1: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(b0_decl,type,
% 0.20/0.47 b0: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(c2_decl,type,
% 0.20/0.47 c2: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(b1_decl,type,
% 0.20/0.47 b1: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(a0_decl,type,
% 0.20/0.47 a0: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(b2_decl,type,
% 0.20/0.47 b2: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(a1_decl,type,
% 0.20/0.47 a1: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(a2_decl,type,
% 0.20/0.47 a2: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(cb_decl,type,
% 0.20/0.47 cb: mworld > $o ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_a_b_c,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#a' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_b_a_c,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#b' @ ( mbox @ '#a' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_a_b_c_0,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#a' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_a_c_b,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#a' @ ( mbox @ '#c' @ ( mor @ ( mbox @ '#b' @ b0 ) @ ( mor @ ( mbox @ '#b' @ b1 ) @ ( mbox @ '#b' @ b2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_c_a_b,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#c' @ ( mbox @ '#a' @ ( mor @ ( mbox @ '#b' @ cb ) @ ( mor @ ( mbox @ '#b' @ b1 ) @ ( mbox @ '#b' @ b2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_c_b_a,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#c' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#a' @ a0 ) @ ( mor @ ( mbox @ '#a' @ a1 ) @ ( mbox @ '#a' @ a2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_knows_b_c_a,axiom,
% 0.20/0.47 mlocal @ ( mbox @ '#b' @ ( mbox @ '#c' @ ( mor @ ( mbox @ '#a' @ a0 ) @ ( mor @ ( mbox @ '#a' @ a1 ) @ ( mbox @ '#a' @ a2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(axiom_a0,axiom,
% 0.20/0.47 mlocal @ a0 ).
% 0.20/0.47
% 0.20/0.47 thf(con,conjecture,
% 0.20/0.47 mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 ------------------------
% 1.74/1.32 ---- Embedded in THF ---
% 1.74/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.74/1.32 %%% Generated on Tue Feb 24 11:34:19 EST 2026
% 1.74/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.74/1.32 %%% Logic specification used:
% 1.74/1.32 %%% thf(spec, logic, $$dhol).
% 1.74/1.32
% 1.74/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2DTF463.p
% See solution above
% 1.74/1.32 ------------------------
% 1.74/1.33 ---- Cleaned THF ---
% 1.74/1.33 thf(mworld,type,
% 1.74/1.33 mworld: $tType ).
% 1.74/1.33
% 1.74/1.33 thf(mindex,type,
% 1.74/1.33 mindex: $tType ).
% 1.74/1.33
% 1.74/1.33 thf(mrel_type,type,
% 1.74/1.33 mrel: mindex > mworld > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf('#c_type',type,
% 1.74/1.33 '#c': mindex ).
% 1.74/1.33
% 1.74/1.33 thf('#b_type',type,
% 1.74/1.33 '#b': mindex ).
% 1.74/1.33
% 1.74/1.33 thf('#a_type',type,
% 1.74/1.33 '#a': mindex ).
% 1.74/1.33
% 1.74/1.33 thf(mactual_type,type,
% 1.74/1.33 mactual: mworld ).
% 1.74/1.33
% 1.74/1.33 thf(mlocal_type,type,
% 1.74/1.33 mlocal: ( mworld > $o ) > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mlocal_def,definition,
% 1.74/1.33 ( mlocal
% 1.74/1.33 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mnot_type,type,
% 1.74/1.33 mnot: ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mand_type,type,
% 1.74/1.33 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mor_type,type,
% 1.74/1.33 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mimplies_type,type,
% 1.74/1.33 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mequiv_type,type,
% 1.74/1.33 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mnot_def,definition,
% 1.74/1.33 ( mnot
% 1.74/1.33 = ( ^ [A: mworld > $o,W: mworld] :
% 1.74/1.33 ~ ( A @ W ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mand_def,definition,
% 1.74/1.33 ( mand
% 1.74/1.33 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.74/1.33 ( ( A @ W )
% 1.74/1.33 & ( B @ W ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mor_def,definition,
% 1.74/1.33 ( mor
% 1.74/1.33 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.74/1.33 ( ( A @ W )
% 1.74/1.33 | ( B @ W ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mimplies_def,definition,
% 1.74/1.33 ( mimplies
% 1.74/1.33 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.74/1.33 ( ( A @ W )
% 1.74/1.33 => ( B @ W ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mequiv_def,definition,
% 1.74/1.33 ( mequiv
% 1.74/1.33 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 1.74/1.33 ( ( A @ W )
% 1.74/1.33 <=> ( B @ W ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mbox_type,type,
% 1.74/1.33 mbox: mindex > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mbox_def,definition,
% 1.74/1.33 ( mbox
% 1.74/1.33 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 1.74/1.33 ! [V: mworld] :
% 1.74/1.33 ( ( mrel @ R @ W @ V )
% 1.74/1.33 => ( Phi @ V ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(mdia_type,type,
% 1.74/1.33 mdia: mindex > ( mworld > $o ) > mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(mdia_def,definition,
% 1.74/1.33 ( mdia
% 1.74/1.33 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 1.74/1.33 ? [V: mworld] :
% 1.74/1.33 ( ( mrel @ R @ W @ V )
% 1.74/1.33 & ( Phi @ V ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf('mrel_#c_universal',axiom,
% 1.74/1.33 ! [W: mworld,V: mworld] : ( mrel @ '#c' @ W @ V ) ).
% 1.74/1.33
% 1.74/1.33 thf('mrel_#b_universal',axiom,
% 1.74/1.33 ! [W: mworld,V: mworld] : ( mrel @ '#b' @ W @ V ) ).
% 1.74/1.33
% 1.74/1.33 thf('mrel_#a_universal',axiom,
% 1.74/1.33 ! [W: mworld,V: mworld] : ( mrel @ '#a' @ W @ V ) ).
% 1.74/1.33
% 1.74/1.33 thf(c0_decl,type,
% 1.74/1.33 c0: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(c1_decl,type,
% 1.74/1.33 c1: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(b0_decl,type,
% 1.74/1.33 b0: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(c2_decl,type,
% 1.74/1.33 c2: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(b1_decl,type,
% 1.74/1.33 b1: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(a0_decl,type,
% 1.74/1.33 a0: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(b2_decl,type,
% 1.74/1.33 b2: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(a1_decl,type,
% 1.74/1.33 a1: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(a2_decl,type,
% 1.74/1.33 a2: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(cb_decl,type,
% 1.74/1.33 cb: mworld > $o ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_a_b_c,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#a' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_b_a_c,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#b' @ ( mbox @ '#a' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_a_b_c_0,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#a' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#c' @ c0 ) @ ( mor @ ( mbox @ '#c' @ c1 ) @ ( mbox @ '#c' @ c2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_a_c_b,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#a' @ ( mbox @ '#c' @ ( mor @ ( mbox @ '#b' @ b0 ) @ ( mor @ ( mbox @ '#b' @ b1 ) @ ( mbox @ '#b' @ b2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_c_a_b,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#c' @ ( mbox @ '#a' @ ( mor @ ( mbox @ '#b' @ cb ) @ ( mor @ ( mbox @ '#b' @ b1 ) @ ( mbox @ '#b' @ b2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_c_b_a,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#c' @ ( mbox @ '#b' @ ( mor @ ( mbox @ '#a' @ a0 ) @ ( mor @ ( mbox @ '#a' @ a1 ) @ ( mbox @ '#a' @ a2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_knows_b_c_a,axiom,
% 1.74/1.33 mlocal @ ( mbox @ '#b' @ ( mbox @ '#c' @ ( mor @ ( mbox @ '#a' @ a0 ) @ ( mor @ ( mbox @ '#a' @ a1 ) @ ( mbox @ '#a' @ a2 ) ) ) ) ) ).
% 1.74/1.33
% 1.74/1.33 thf(axiom_a0,axiom,
% 1.74/1.33 mlocal @ a0 ).
% 1.74/1.33
% 1.74/1.33 thf(con,conjecture,
% 1.74/1.33 mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ).
% 1.74/1.33 ------------------------
% 1.74/1.35 % (850)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_463 for (2999ds/18Mi)
% 1.74/1.35 % (848)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_463 for (2999ds/2Mi)
% 1.74/1.35 % (848)Instruction limit reached!
% 1.74/1.35 % (848)------------------------------
% 1.74/1.35 % (848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.35 % (848)Termination reason: Unknown
% 1.74/1.35 % (848)Termination phase: Preprocessing 3
% 1.74/1.35
% 1.74/1.35 % (848)Memory used [KB]: 1023
% 1.74/1.35 % (848)Time elapsed: 0.002 s
% 1.74/1.35 % (848)Instructions burned: 3 (million)
% 1.74/1.35 % (848)------------------------------
% 1.74/1.35 % (848)------------------------------
% 1.74/1.35 % (850)Instruction limit reached!
% 1.74/1.35 % (850)------------------------------
% 1.74/1.35 % (850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.35 % (850)Termination reason: Unknown
% 1.74/1.35 % (850)Termination phase: Saturation
% 1.74/1.35
% 1.74/1.35 % (850)Memory used [KB]: 5628
% 1.74/1.35 % (850)Time elapsed: 0.007 s
% 1.74/1.35 % (850)Instructions burned: 21 (million)
% 1.74/1.35 % (850)------------------------------
% 1.74/1.35 % (850)------------------------------
% 1.74/1.35 % (844)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_463 for (2999ds/183Mi)
% 1.74/1.35 % (845)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_463 for (2999ds/4Mi)
% 1.74/1.35 % (846)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_463 for (2999ds/27Mi)
% 1.74/1.35 % (847)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_463 for (2999ds/2Mi)
% 1.74/1.35 % (849)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_463 for (2999ds/275Mi)
% 1.74/1.35 % (847)Instruction limit reached!
% 1.74/1.35 % (847)------------------------------
% 1.74/1.35 % (847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.35 % (847)Termination reason: Unknown
% 1.74/1.35 % (847)Termination phase: shuffling
% 1.74/1.35
% 1.74/1.35 % (847)Memory used [KB]: 1023
% 1.74/1.35 % (847)Time elapsed: 0.003 s
% 1.74/1.35 % (847)Instructions burned: 2 (million)
% 1.74/1.35 % (847)------------------------------
% 1.74/1.35 % (847)------------------------------
% 1.74/1.35 % (845)Instruction limit reached!
% 1.74/1.35 % (845)------------------------------
% 1.74/1.35 % (845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.35 % (845)Termination reason: Unknown
% 1.74/1.35 % (845)Termination phase: Property scanning
% 1.74/1.35
% 1.74/1.35 % (845)Memory used [KB]: 1023
% 1.74/1.35 % (845)Time elapsed: 0.004 s
% 1.74/1.35 % (845)Instructions burned: 4 (million)
% 1.74/1.35 % (845)------------------------------
% 1.74/1.35 % (845)------------------------------
% 1.74/1.36 % (849)Refutation not found, incomplete strategy
% 1.74/1.36 % (849)------------------------------
% 1.74/1.36 % (849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.36 % (849)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.36
% 1.74/1.36
% 1.74/1.36 % (849)Memory used [KB]: 5500
% 1.74/1.36 % (849)Time elapsed: 0.005 s
% 1.74/1.36 % (849)Instructions burned: 5 (million)
% 1.74/1.36 % (849)------------------------------
% 1.74/1.36 % (849)------------------------------
% 1.74/1.36 % (851)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_463 for (2999ds/3Mi)
% 1.74/1.36 % (851)Instruction limit reached!
% 1.74/1.36 % (851)------------------------------
% 1.74/1.36 % (851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.36 % (851)Termination reason: Unknown
% 1.74/1.36 % (851)Termination phase: Preprocessing 3
% 1.74/1.36
% 1.74/1.36 % (851)Memory used [KB]: 1023
% 1.74/1.36 % (851)Time elapsed: 0.003 s
% 1.74/1.36 % (851)Instructions burned: 4 (million)
% 1.74/1.36 % (851)------------------------------
% 1.74/1.36 % (851)------------------------------
% 1.74/1.36 % (852)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_463 for (2999ds/37Mi)
% 1.74/1.37 % (846)Instruction limit reached!
% 1.74/1.37 % (846)------------------------------
% 1.74/1.37 % (846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.37 % (846)Termination reason: Unknown
% 1.74/1.37 % (846)Termination phase: Saturation
% 1.74/1.37
% 1.74/1.37 % (846)Memory used [KB]: 5628
% 1.74/1.37 % (846)Time elapsed: 0.017 s
% 1.74/1.37 % (846)Instructions burned: 28 (million)
% 1.74/1.37 % (846)------------------------------
% 1.74/1.37 % (846)------------------------------
% 1.74/1.37 % (844)First to succeed.
% 1.74/1.37 % (856)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_463 for (2999ds/7Mi)
% 1.74/1.37 % (844)Refutation found. Thanks to Tanya!
% 1.74/1.37 % SZS status Theorem for DTF2THF_463
% 1.74/1.37 % SZS output start Proof for DTF2THF_463
% 1.74/1.37 thf(type_def_5, type, mindex: $tType).
% 1.74/1.37 thf(type_def_6, type, mworld: $tType).
% 1.74/1.37 thf(func_def_0, type, mworld: $tType).
% 1.74/1.37 thf(func_def_1, type, mindex: $tType).
% 1.74/1.37 thf(func_def_2, type, mrel: mindex > mworld > mworld > $o).
% 1.74/1.37 thf(func_def_3, type, '#c': mindex).
% 1.74/1.37 thf(func_def_4, type, '#b': mindex).
% 1.74/1.37 thf(func_def_5, type, '#a': mindex).
% 1.74/1.37 thf(func_def_6, type, mactual: mworld).
% 1.74/1.37 thf(func_def_7, type, mlocal: (mworld > $o) > $o).
% 1.74/1.37 thf(func_def_9, type, mnot: (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_10, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_11, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_12, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_13, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_14, type, mbox: mindex > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_15, type, mdia: mindex > (mworld > $o) > mworld > $o).
% 1.74/1.37 thf(func_def_16, type, c0: mworld > $o).
% 1.74/1.37 thf(func_def_17, type, c1: mworld > $o).
% 1.74/1.37 thf(func_def_18, type, b0: mworld > $o).
% 1.74/1.37 thf(func_def_19, type, c2: mworld > $o).
% 1.74/1.37 thf(func_def_20, type, b1: mworld > $o).
% 1.74/1.37 thf(func_def_21, type, a0: mworld > $o).
% 1.74/1.37 thf(func_def_22, type, b2: mworld > $o).
% 1.74/1.37 thf(func_def_23, type, a1: mworld > $o).
% 1.74/1.37 thf(func_def_24, type, a2: mworld > $o).
% 1.74/1.37 thf(func_def_25, type, cb: mworld > $o).
% 1.74/1.37 thf(func_def_41, type, sK1: mworld).
% 1.74/1.37 thf(func_def_42, type, sK2: mworld).
% 1.74/1.37 thf(func_def_43, type, sK3: mworld).
% 1.74/1.37 thf(f243,plain,(
% 1.74/1.37 $false),
% 1.74/1.37 inference(trivial_inequality_removal,[status(thm)],[f241])).
% 1.74/1.37 thf(f241,plain,(
% 1.74/1.37 ($false = $true)),
% 1.74/1.37 inference(superposition,[status(thm)],[f240,f236])).
% 1.74/1.37 thf(f236,plain,(
% 1.74/1.37 ($true = (a0 @ mactual))),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f85])).
% 1.74/1.37 thf(f85,plain,(
% 1.74/1.37 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ a0) = $true)),
% 1.74/1.37 inference(definition_unfolding,[status(thm)],[f71,f68])).
% 1.74/1.37 thf(f68,plain,(
% 1.74/1.37 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f47])).
% 1.74/1.37 thf(f47,plain,(
% 1.74/1.37 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f1])).
% 1.74/1.37 thf(f1,axiom,(
% 1.74/1.37 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mlocal_def)).
% 1.74/1.37 thf(f71,plain,(
% 1.74/1.37 ((mlocal @ a0) = $true)),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f28])).
% 1.74/1.37 thf(f28,plain,(
% 1.74/1.37 ((mlocal @ a0) = $true)),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f27])).
% 1.74/1.37 thf(f27,plain,(
% 1.74/1.37 (mlocal @ a0)),
% 1.74/1.37 inference(rectify,[status(thm)],[f19])).
% 1.74/1.37 thf(f19,axiom,(
% 1.74/1.37 (mlocal @ a0)),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',axiom_a0)).
% 1.74/1.37 thf(f240,plain,(
% 1.74/1.37 ( ! [X0 : mworld] : (((a0 @ X0) = $false)) )),
% 1.74/1.37 inference(trivial_inequality_removal,[status(thm)],[f237])).
% 1.74/1.37 thf(f237,plain,(
% 1.74/1.37 ( ! [X0 : mworld] : (((a0 @ X0) = $false) | ($false = $true)) )),
% 1.74/1.37 inference(superposition,[status(thm)],[f217,f74])).
% 1.74/1.37 thf(f74,plain,(
% 1.74/1.37 ( ! [X0 : mworld,X1 : mworld] : (((mrel @ '#c' @ X1 @ X0) = $true)) )),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f55])).
% 1.74/1.37 thf(f55,plain,(
% 1.74/1.37 ! [X0 : mworld,X1 : mworld] : ((mrel @ '#c' @ X1 @ X0) = $true)),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f54])).
% 1.74/1.37 thf(f54,plain,(
% 1.74/1.37 ! [X0 : mworld,X1 : mworld] : (mrel @ '#c' @ X1 @ X0)),
% 1.74/1.37 inference(rectify,[status(thm)],[f9])).
% 1.74/1.37 thf(f9,axiom,(
% 1.74/1.37 ! [X5 : mworld,X2 : mworld] : (mrel @ '#c' @ X2 @ X5)),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p','mrel_#c_universal')).
% 1.74/1.37 thf(f217,plain,(
% 1.74/1.37 ( ! [X1 : mworld] : (($false = (mrel @ '#c' @ sK3 @ X1)) | ((a0 @ X1) = $false)) )),
% 1.74/1.37 inference(not_proxy_clausification,[status(thm)],[f216])).
% 1.74/1.37 thf(f216,plain,(
% 1.74/1.37 ( ! [X1 : mworld] : (((~ (a0 @ X1)) = $true) | ($false = (mrel @ '#c' @ sK3 @ X1))) )),
% 1.74/1.37 inference(binary_proxy_clausification,[status(thm)],[f215])).
% 1.74/1.37 thf(f215,plain,(
% 1.74/1.37 ( ! [X1 : mworld] : ((((mrel @ '#c' @ sK3 @ X1) => (~ (a0 @ X1))) = $true)) )),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f214])).
% 1.74/1.37 thf(f214,plain,(
% 1.74/1.37 ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ '#c' @ sK3 @ Y0) => (~ (a0 @ Y0)))) @ X1) = $true)) )),
% 1.74/1.37 inference(pi_clausification,[status(thm)],[f212])).
% 1.74/1.37 thf(f212,plain,(
% 1.74/1.37 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#c' @ sK3 @ Y0) => (~ (a0 @ Y0))))) = $true)),
% 1.74/1.37 inference(binary_proxy_clausification,[status(thm)],[f211])).
% 1.74/1.37 thf(f211,plain,(
% 1.74/1.37 (((mrel @ '#b' @ sK2 @ sK3) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#c' @ sK3 @ Y0) => (~ (a0 @ Y0)))))) = $true)),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f210])).
% 1.74/1.37 thf(f210,plain,(
% 1.74/1.37 (((^[Y0 : mworld]: ((mrel @ '#b' @ sK2 @ Y0) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#c' @ Y0 @ Y1) => (~ (a0 @ Y1))))))) @ sK3) = $true)),
% 1.74/1.37 inference(sigma_clausification,[status(thm)],[f208])).
% 1.74/1.37 thf(f208,plain,(
% 1.74/1.37 ((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ sK2 @ Y0) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#c' @ Y0 @ Y1) => (~ (a0 @ Y1)))))))) = $true)),
% 1.74/1.37 inference(binary_proxy_clausification,[status(thm)],[f207])).
% 1.74/1.37 thf(f207,plain,(
% 1.74/1.37 (((mrel @ '#a' @ sK1 @ sK2) & (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ sK2 @ Y0) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ '#c' @ Y0 @ Y1) => (~ (a0 @ Y1))))))))) = $true)),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f206])).
% 1.74/1.37 thf(f206,plain,(
% 1.74/1.37 (((^[Y0 : mworld]: ((mrel @ '#a' @ sK1 @ Y0) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ '#c' @ Y1 @ Y2) => (~ (a0 @ Y2)))))))))) @ sK2) = $true)),
% 1.74/1.37 inference(sigma_clausification,[status(thm)],[f205])).
% 1.74/1.37 thf(f205,plain,(
% 1.74/1.37 ((?? @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ sK1 @ Y0) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ '#c' @ Y1 @ Y2) => (~ (a0 @ Y2))))))))))) = $true)),
% 1.74/1.37 inference(not_proxy_clausification,[status(thm)],[f203])).
% 1.74/1.37 thf(f203,plain,(
% 1.74/1.37 ((~ (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ sK1 @ Y0) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ '#c' @ Y1 @ Y2) => (~ (a0 @ Y2)))))))))))) = $false)),
% 1.74/1.37 inference(binary_proxy_clausification,[status(thm)],[f202])).
% 1.74/1.37 thf(f202,plain,(
% 1.74/1.37 (((mrel @ '#b' @ mactual @ sK1) => (~ (?? @ mworld @ (^[Y0 : mworld]: ((mrel @ '#a' @ sK1 @ Y0) & (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#b' @ Y0 @ Y1) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ '#c' @ Y1 @ Y2) => (~ (a0 @ Y2))))))))))))) = $false)),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f201])).
% 1.74/1.37 thf(f201,plain,(
% 1.74/1.37 (((^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (~ (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#a' @ Y0 @ Y1) & (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ '#b' @ Y1 @ Y2) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ '#c' @ Y2 @ Y3) => (~ (a0 @ Y3)))))))))))))) @ sK1) = $false)),
% 1.74/1.37 inference(sigma_clausification,[status(thm)],[f200])).
% 1.74/1.37 thf(f200,plain,(
% 1.74/1.37 ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ '#b' @ mactual @ Y0) => (~ (?? @ mworld @ (^[Y1 : mworld]: ((mrel @ '#a' @ Y0 @ Y1) & (?? @ mworld @ (^[Y2 : mworld]: ((mrel @ '#b' @ Y1 @ Y2) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ '#c' @ Y2 @ Y3) => (~ (a0 @ Y3))))))))))))))) != $true)),
% 1.74/1.37 inference(beta_eta_normalization,[status(thm)],[f90])).
% 1.74/1.37 thf(f90,plain,(
% 1.74/1.37 (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#b' @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))) @ '#a' @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))) @ '#b' @ ((^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ '#c' @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))) @ a0))))))) != $true)),
% 1.74/1.37 inference(definition_unfolding,[status(thm)],[f79,f68,f70,f80,f65,f65,f70,f80])).
% 1.74/1.37 thf(f65,plain,(
% 1.74/1.37 (mdia = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f51])).
% 1.74/1.37 thf(f51,plain,(
% 1.74/1.37 (mdia = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (?? @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) & (Y1 @ Y3))))))))))),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f50])).
% 1.74/1.37 thf(f50,plain,(
% 1.74/1.37 (mdia = (^[X0 : mindex, X1 : mworld > $o, X2 : mworld] : (? [X3 : mworld] : ((X1 @ X3) & (mrel @ X0 @ X2 @ X3)))))),
% 1.74/1.37 inference(rectify,[status(thm)],[f8])).
% 1.74/1.37 thf(f8,axiom,(
% 1.74/1.37 (mdia = (^[X4 : mindex, X0 : mworld > $o, X2 : mworld] : (? [X5 : mworld] : ((X0 @ X5) & (mrel @ X4 @ X2 @ X5)))))),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mdia_def)).
% 1.74/1.37 thf(f80,plain,(
% 1.74/1.37 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f59])).
% 1.74/1.37 thf(f59,plain,(
% 1.74/1.37 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f58])).
% 1.74/1.37 thf(f58,plain,(
% 1.74/1.37 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 1.74/1.37 inference(rectify,[status(thm)],[f2])).
% 1.74/1.37 thf(f2,axiom,(
% 1.74/1.37 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mnot_def)).
% 1.74/1.37 thf(f70,plain,(
% 1.74/1.37 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f40])).
% 1.74/1.37 thf(f40,plain,(
% 1.74/1.37 (mbox = (^[Y0 : mindex]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f39])).
% 1.74/1.37 thf(f39,plain,(
% 1.74/1.37 (mbox = (^[X0 : mindex, X1 : mworld > $o, X2 : mworld] : (! [X3 : mworld] : ((mrel @ X0 @ X2 @ X3) => (X1 @ X3)))))),
% 1.74/1.37 inference(rectify,[status(thm)],[f7])).
% 1.74/1.37 thf(f7,axiom,(
% 1.74/1.37 (mbox = (^[X4 : mindex, X0 : mworld > $o, X2 : mworld] : (! [X5 : mworld] : ((mrel @ X4 @ X2 @ X5) => (X0 @ X5)))))),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',mbox_def)).
% 1.74/1.37 thf(f79,plain,(
% 1.74/1.37 ((mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0))))))) != $true)),
% 1.74/1.37 inference(cnf_transformation,[status(thm)],[f62])).
% 1.74/1.37 thf(f62,plain,(
% 1.74/1.37 ((mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0))))))) != $true)),
% 1.74/1.37 inference(flattening,[status(thm)],[f24])).
% 1.74/1.37 thf(f24,plain,(
% 1.74/1.37 ~((mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0))))))) = $true)),
% 1.74/1.37 inference(fool_elimination,[status(thm)],[f23])).
% 1.74/1.37 thf(f23,plain,(
% 1.74/1.37 ~(mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0)))))))),
% 1.74/1.37 inference(rectify,[status(thm)],[f21])).
% 1.74/1.37 thf(f21,negated_conjecture,(
% 1.74/1.37 ~(mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0)))))))),
% 1.74/1.37 inference(negated_conjecture,[status(cth)],[f20])).
% 1.74/1.37 thf(f20,conjecture,(
% 1.74/1.37 (mlocal @ (mbox @ '#b' @ (mnot @ (mdia @ '#a' @ (mdia @ '#b' @ (mbox @ '#c' @ (mnot @ a0)))))))),
% 1.74/1.37 file('/export/starexec/sandbox/tmp/tmp.JbnNm9NuxK/DTF2THF_463.p',con)).
% 1.74/1.37 % SZS output end Proof for DTF2THF_463
% 1.74/1.37 % (844)------------------------------
% 1.74/1.37 % (844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.37 % (844)Termination reason: Refutation
% 1.74/1.37
% 1.74/1.37 % (844)Memory used [KB]: 5756
% 1.74/1.37 % (844)Time elapsed: 0.018 s
% 1.74/1.37 % (844)Instructions burned: 28 (million)
% 1.74/1.37 % (844)------------------------------
% 1.74/1.37 % (844)------------------------------
% 1.74/1.37 % (843)Success in time 0.033 s
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