%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PHI045^6 : TPTP v9.2.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 09:27:43 AM UTC 2026
% Result : Theorem 1.47s 1.28s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 132 ( 45 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 122 ( 29 ~; 11 |; 8 &; 67 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 7 ^; 24 !; 7 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
entity: $tType ).
thf(func_def_0,type,
entity: $tType ).
thf(func_def_1,type,
god_like: entity > $o ).
thf(func_def_2,type,
positive_property: ( entity > $o ) > $o ).
thf(func_def_10,type,
sK0: ( entity > $o ) > ( entity > $o ) > entity ).
thf(func_def_12,type,
ph2:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
sK3: entity ).
thf(f36,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f35]) ).
thf(f35,plain,
$true != $true,
inference(superposition,[status(thm)],[f27,f34]) ).
thf(f34,plain,
! [X0: entity > $o] :
( $true
= ( positive_property @ X0 ) ),
inference(subsumption_resolution,[status(thm)],[f33,f25]) ).
thf(f25,plain,
! [X0: entity] :
( ( god_like @ X0 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: entity] :
( ( god_like @ X0 )
!= $true ),
inference(ennf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
~ ? [X0: entity] :
( ( god_like @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
~ ? [X0: entity] : ( god_like @ X0 ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,negated_conjecture,
~ ? [X0: entity] : ( god_like @ X0 ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f4,conjecture,
? [X0: entity] : ( god_like @ X0 ),
file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',conj_1) ).
thf(f33,plain,
! [X0: entity > $o] :
( ( $true
= ( positive_property @ X0 ) )
| ( ( god_like @ ( sK0 @ X0 @ god_like ) )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: entity > $o] :
( ( $true
= ( positive_property @ X0 ) )
| ( $true != $true )
| ( ( god_like @ ( sK0 @ X0 @ god_like ) )
= $true ) ),
inference(superposition,[status(thm)],[f21,f24]) ).
thf(f24,plain,
( ( positive_property @ god_like )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
( ( positive_property @ god_like )
= $true ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
positive_property @ god_like,
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
positive_property @ god_like,
file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',axiom3) ).
thf(f21,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( $true
!= ( positive_property @ X0 ) )
| ( ( positive_property @ X1 )
= $true )
| ( ( X0 @ ( sK0 @ X1 @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( ( positive_property @ X1 )
= $true )
| ( ( ( X1 @ ( sK0 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK0 @ X1 @ X0 ) )
= $true ) )
| ( $true
!= ( positive_property @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f19]) ).
thf(f19,plain,
! [X0: entity > $o,X1: entity > $o] :
( ? [X2: entity] :
( ( $true
!= ( X1 @ X2 ) )
& ( ( X0 @ X2 )
= $true ) )
=> ( ( ( X1 @ ( sK0 @ X1 @ X0 ) )
!= $true )
& ( ( X0 @ ( sK0 @ X1 @ X0 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( ( positive_property @ X1 )
= $true )
| ? [X2: entity] :
( ( $true
!= ( X1 @ X2 ) )
& ( ( X0 @ X2 )
= $true ) )
| ( $true
!= ( positive_property @ X0 ) ) ),
inference(flattening,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( ( positive_property @ X1 )
= $true )
| ( $true
!= ( positive_property @ X0 ) )
| ? [X2: entity] :
( ( $true
!= ( X1 @ X2 ) )
& ( ( X0 @ X2 )
= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( ( $true
= ( positive_property @ X0 ) )
& ! [X2: entity] :
( ( ( X0 @ X2 )
= $true )
=> ( $true
= ( X1 @ X2 ) ) ) )
=> ( ( positive_property @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: entity > $o,X1: entity > $o] :
( ( ! [X2: entity] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
& ( positive_property @ X0 ) )
=> ( positive_property @ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X1: entity > $o,X2: entity > $o] :
( ( ! [X3: entity] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
& ( positive_property @ X1 ) )
=> ( positive_property @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',coro2) ).
thf(f27,plain,
( ( positive_property
@ ^ [Y0: entity] : $false )
!= $true ),
inference(boolean_simplification,[status(thm)],[f26]) ).
thf(f26,plain,
( ( positive_property
@ ^ [Y0: entity] : ~ $true )
!= $true ),
inference(boolean_simplification,[status(thm)],[f23]) ).
thf(f23,plain,
( ( positive_property
@ ^ [Y0: entity] : ( Y0 != Y0 ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( ( positive_property
@ ^ [Y0: entity] : ( Y0 != Y0 ) )
!= $true ),
inference(flattening,[status(thm)],[f8]) ).
thf(f8,plain,
( ( positive_property
@ ^ [Y0: entity] : ( Y0 != Y0 ) )
!= $true ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
~ ( positive_property
@ ^ [X0: entity] : ( X0 != X0 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
~ ( positive_property
@ ^ [X0: entity] : ( X0 != X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',coro1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI045^6 : TPTP v9.2.1. Released v9.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 11:26:09 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : PHI045^6 : TPTP v9.2.1. Released v9.0.0.
% 0.31/0.46 % Domain : Philosophy
% 0.31/0.46 % Problem : There exists a God-like entity
% 0.31/0.46 % Version : [Ben23] axioms.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Ben23] Benzmueller (2023), A Simplified Variant of Goedel's O
% 0.31/0.46 % : [Ben22] Benzmueller (2022), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [TPTP]
% 0.31/0.46 % Names : SimplifiedOntologicalArgument1 [Ben22]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.00 v9.0.0
% 0.31/0.46 % Syntax : Number of formulae : 7 ( 1 unt; 3 typ; 0 def)
% 0.31/0.46 % Number of atoms : 7 ( 1 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 2 ( 1 avg)
% 0.31/0.46 % Number of connectives : 12 ( 2 ~; 0 |; 1 &; 7 @)
% 0.31/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 8 ( 5 avg)
% 0.31/0.46 % Number of types : 2 ( 1 usr)
% 0.31/0.46 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.31/0.46 % Number of variables : 5 ( 1 ^; 3 !; 1 ?; 5 :)
% 0.31/0.46 % SPC : TH0_THM_EQU_NAR
% 0.31/0.46
% 0.31/0.46 % Comments :
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf(entity_decl,type,
% 0.31/0.46 entity: $tType ).
% 0.31/0.46
% 0.31/0.46 thf(god_like_decl,type,
% 0.31/0.46 god_like: entity > $o ).
% 0.31/0.46
% 0.31/0.46 thf(positive_property_decl,type,
% 0.31/0.46 positive_property: ( entity > $o ) > $o ).
% 0.31/0.46
% 0.31/0.46 thf(coro1,axiom,
% 0.31/0.46 ~ ( positive_property
% 0.31/0.46 @ ^ [X: entity] : ( X != X ) ) ).
% 0.31/0.46
% 0.31/0.46 thf(coro2,axiom,
% 0.31/0.46 ! [P1: entity > $o,P2: entity > $o] :
% 0.31/0.46 ( ( ( positive_property @ P1 )
% 0.31/0.46 & ! [Y: entity] :
% 0.31/0.46 ( ( P1 @ Y )
% 0.31/0.46 => ( P2 @ Y ) ) )
% 0.31/0.46 => ( positive_property @ P2 ) ) ).
% 0.31/0.46
% 0.31/0.46 thf(axiom3,axiom,
% 0.31/0.46 positive_property @ god_like ).
% 0.31/0.46
% 0.31/0.46 thf(conj_1,conjecture,
% 0.31/0.46 ? [X: entity] : ( god_like @ X ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.47/1.25 ---- Embedded in THF ---
% 1.47/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.25 %%% Generated on Tue Feb 24 11:26:10 EST 2026
% 1.47/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.25 %%% Logic specification used:
% 1.47/1.25 %%% thf(spec, logic, $$dhol).
% 1.47/1.25
% 1.47/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2DTF26445.p
% See solution above
% 1.47/1.25 ------------------------
% 1.47/1.26 ---- Cleaned THF ---
% 1.47/1.27 thf(entity_decl,type,
% 1.47/1.27 entity: $tType ).
% 1.47/1.27
% 1.47/1.27 thf(god_like_decl,type,
% 1.47/1.27 god_like: entity > $o ).
% 1.47/1.27
% 1.47/1.27 thf(positive_property_decl,type,
% 1.47/1.27 positive_property: ( entity > $o ) > $o ).
% 1.47/1.27
% 1.47/1.27 thf(coro1,axiom,
% 1.47/1.27 ~ ( positive_property
% 1.47/1.27 @ ^ [X: entity] : ( X != X ) ) ).
% 1.47/1.27
% 1.47/1.27 thf(coro2,axiom,
% 1.47/1.27 ! [P1: entity > $o,P2: entity > $o] :
% 1.47/1.27 ( ( ( positive_property @ P1 )
% 1.47/1.27 & ! [Y: entity] :
% 1.47/1.27 ( ( P1 @ Y )
% 1.47/1.27 => ( P2 @ Y ) ) )
% 1.47/1.27 => ( positive_property @ P2 ) ) ).
% 1.47/1.27
% 1.47/1.27 thf(axiom3,axiom,
% 1.47/1.27 positive_property @ god_like ).
% 1.47/1.27
% 1.47/1.27 thf(conj_1,conjecture,
% 1.47/1.27 ? [X: entity] : ( god_like @ X ) ).
% 1.47/1.27 ------------------------
% 1.47/1.28 % (26779)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26445 for (2999ds/18Mi)
% 1.47/1.28 % (26774)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_26445 for (2999ds/4Mi)
% 1.47/1.28 % (26779)First to succeed.
% 1.47/1.28 % (26774)Instruction limit reached!
% 1.47/1.28 % (26774)------------------------------
% 1.47/1.28 % (26774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (26774)Termination reason: Unknown
% 1.47/1.28 % (26774)Termination phase: Saturation
% 1.47/1.28
% 1.47/1.28 % (26774)Memory used [KB]: 5500
% 1.47/1.28 % (26774)Time elapsed: 0.003 s
% 1.47/1.28 % (26774)Instructions burned: 5 (million)
% 1.47/1.28 % (26774)------------------------------
% 1.47/1.28 % (26774)------------------------------
% 1.47/1.28 % (26779)Refutation found. Thanks to Tanya!
% 1.47/1.28 % SZS status Theorem for DTF2THF_26445
% 1.47/1.28 % SZS output start Proof for DTF2THF_26445
% 1.47/1.28 thf(type_def_5, type, entity: $tType).
% 1.47/1.28 thf(func_def_0, type, entity: $tType).
% 1.47/1.28 thf(func_def_1, type, god_like: entity > $o).
% 1.47/1.28 thf(func_def_2, type, positive_property: (entity > $o) > $o).
% 1.47/1.28 thf(func_def_10, type, sK0: (entity > $o) > (entity > $o) > entity).
% 1.47/1.28 thf(func_def_12, type, ph2: !>[X0: $tType]:(X0)).
% 1.47/1.28 thf(func_def_13, type, sK3: entity).
% 1.47/1.28 thf(f36,plain,(
% 1.47/1.28 $false),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f35])).
% 1.47/1.28 thf(f35,plain,(
% 1.47/1.28 ($true != $true)),
% 1.47/1.28 inference(superposition,[status(thm)],[f27,f34])).
% 1.47/1.28 thf(f34,plain,(
% 1.47/1.28 ( ! [X0 : entity > $o] : (($true = (positive_property @ X0))) )),
% 1.47/1.28 inference(subsumption_resolution,[status(thm)],[f33,f25])).
% 1.47/1.28 thf(f25,plain,(
% 1.47/1.28 ( ! [X0 : entity] : (((god_like @ X0) != $true)) )),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f18])).
% 1.47/1.28 thf(f18,plain,(
% 1.47/1.28 ! [X0 : entity] : ((god_like @ X0) != $true)),
% 1.47/1.28 inference(ennf_transformation,[status(thm)],[f10])).
% 1.47/1.28 thf(f10,plain,(
% 1.47/1.28 ~? [X0 : entity] : ((god_like @ X0) = $true)),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f9])).
% 1.47/1.28 thf(f9,plain,(
% 1.47/1.28 ~? [X0 : entity] : (god_like @ X0)),
% 1.47/1.28 inference(rectify,[status(thm)],[f5])).
% 1.47/1.28 thf(f5,negated_conjecture,(
% 1.47/1.28 ~? [X0 : entity] : (god_like @ X0)),
% 1.47/1.28 inference(negated_conjecture,[status(cth)],[f4])).
% 1.47/1.28 thf(f4,conjecture,(
% 1.47/1.28 ? [X0 : entity] : (god_like @ X0)),
% 1.47/1.28 file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',conj_1)).
% 1.47/1.28 thf(f33,plain,(
% 1.47/1.28 ( ! [X0 : entity > $o] : (($true = (positive_property @ X0)) | ((god_like @ (sK0 @ X0 @ god_like)) = $true)) )),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f32])).
% 1.47/1.28 thf(f32,plain,(
% 1.47/1.28 ( ! [X0 : entity > $o] : (($true = (positive_property @ X0)) | ($true != $true) | ((god_like @ (sK0 @ X0 @ god_like)) = $true)) )),
% 1.47/1.28 inference(superposition,[status(thm)],[f21,f24])).
% 1.47/1.28 thf(f24,plain,(
% 1.47/1.28 ((positive_property @ god_like) = $true)),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f14])).
% 1.47/1.28 thf(f14,plain,(
% 1.47/1.28 ((positive_property @ god_like) = $true)),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f13])).
% 1.47/1.28 thf(f13,plain,(
% 1.47/1.28 (positive_property @ god_like)),
% 1.47/1.28 inference(rectify,[status(thm)],[f3])).
% 1.47/1.28 thf(f3,axiom,(
% 1.47/1.28 (positive_property @ god_like)),
% 1.47/1.28 file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',axiom3)).
% 1.47/1.28 thf(f21,plain,(
% 1.47/1.28 ( ! [X0 : entity > $o,X1 : entity > $o] : (($true != (positive_property @ X0)) | ((positive_property @ X1) = $true) | ((X0 @ (sK0 @ X1 @ X0)) = $true)) )),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f20])).
% 1.47/1.28 thf(f20,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : (((positive_property @ X1) = $true) | (((X1 @ (sK0 @ X1 @ X0)) != $true) & ((X0 @ (sK0 @ X1 @ X0)) = $true)) | ($true != (positive_property @ X0)))),
% 1.47/1.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f19])).
% 1.47/1.28 thf(f19,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : (? [X2 : entity] : (($true != (X1 @ X2)) & ((X0 @ X2) = $true)) => (((X1 @ (sK0 @ X1 @ X0)) != $true) & ((X0 @ (sK0 @ X1 @ X0)) = $true)))),
% 1.47/1.28 introduced(definition,[],[choice_axiom])).
% 1.47/1.28 thf(f17,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : (((positive_property @ X1) = $true) | ? [X2 : entity] : (($true != (X1 @ X2)) & ((X0 @ X2) = $true)) | ($true != (positive_property @ X0)))),
% 1.47/1.28 inference(flattening,[status(thm)],[f16])).
% 1.47/1.28 thf(f16,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : (((positive_property @ X1) = $true) | (($true != (positive_property @ X0)) | ? [X2 : entity] : (($true != (X1 @ X2)) & ((X0 @ X2) = $true))))),
% 1.47/1.28 inference(ennf_transformation,[status(thm)],[f12])).
% 1.47/1.28 thf(f12,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : ((($true = (positive_property @ X0)) & ! [X2 : entity] : (((X0 @ X2) = $true) => ($true = (X1 @ X2)))) => ((positive_property @ X1) = $true))),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f11])).
% 1.47/1.28 thf(f11,plain,(
% 1.47/1.28 ! [X0 : entity > $o,X1 : entity > $o] : ((! [X2 : entity] : ((X0 @ X2) => (X1 @ X2)) & (positive_property @ X0)) => (positive_property @ X1))),
% 1.47/1.28 inference(rectify,[status(thm)],[f2])).
% 1.47/1.28 thf(f2,axiom,(
% 1.47/1.28 ! [X1 : entity > $o,X2 : entity > $o] : ((! [X3 : entity] : ((X1 @ X3) => (X2 @ X3)) & (positive_property @ X1)) => (positive_property @ X2))),
% 1.47/1.28 file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',coro2)).
% 1.47/1.28 thf(f27,plain,(
% 1.47/1.28 ((positive_property @ (^[Y0 : entity]: ($false))) != $true)),
% 1.47/1.28 inference(boolean_simplification,[status(thm)],[f26])).
% 1.47/1.28 thf(f26,plain,(
% 1.47/1.28 ((positive_property @ (^[Y0 : entity]: (~ $true))) != $true)),
% 1.47/1.28 inference(boolean_simplification,[status(thm)],[f23])).
% 1.47/1.28 thf(f23,plain,(
% 1.47/1.28 ((positive_property @ (^[Y0 : entity]: (~ (Y0 = Y0)))) != $true)),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f15])).
% 1.47/1.28 thf(f15,plain,(
% 1.47/1.28 ((positive_property @ (^[Y0 : entity]: (~ (Y0 = Y0)))) != $true)),
% 1.47/1.28 inference(flattening,[status(thm)],[f8])).
% 1.47/1.28 thf(f8,plain,(
% 1.47/1.28 ~((positive_property @ (^[Y0 : entity]: (~ (Y0 = Y0)))) = $true)),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f7])).
% 1.47/1.28 thf(f7,plain,(
% 1.47/1.28 ~(positive_property @ (^[X0 : entity] : ((X0 != X0))))),
% 1.47/1.28 inference(rectify,[status(thm)],[f1])).
% 1.47/1.28 thf(f1,axiom,(
% 1.47/1.28 ~(positive_property @ (^[X0 : entity] : ((X0 != X0))))),
% 1.47/1.28 file('/export/starexec/sandbox/tmp/tmp.jHCNWdo3SE/DTF2THF_26445.p',coro1)).
% 1.47/1.28 % SZS output end Proof for DTF2THF_26445
% 1.47/1.28 % (26779)------------------------------
% 1.47/1.28 % (26779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (26779)Termination reason: Refutation
% 1.47/1.28
% 1.47/1.28 % (26779)Memory used [KB]: 5500
% 1.47/1.28 % (26779)Time elapsed: 0.003 s
% 1.47/1.28 % (26779)Instructions burned: 2 (million)
% 1.47/1.28 % (26779)------------------------------
% 1.47/1.28 % (26779)------------------------------
% 1.47/1.28 % (26772)Success in time 0.013 s
%------------------------------------------------------------------------------