%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO559^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 09:54:33 AM UTC 2026
% Result : Theorem 1.59s 1.31s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 typ; 3 def)
% Number of atoms : 196 ( 37 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 163 ( 31 ~; 30 |; 1 &; 88 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 21 !; 6 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
epso: ( $o > $o ) > $o ).
thf(func_def_2,type,
epsoo: ( ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_6,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f134,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f23,f28,f36,f133]) ).
thf(f133,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f132]) ).
thf(f132,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[status(thm)],[f118,f85]) ).
thf(f85,plain,
( ! [X0: $o] : ( $false = X0 )
| spl0_2
| ~ spl0_3 ),
inference(leibniz_equality_elimination,[status(thm)],[f76]) ).
thf(f76,plain,
( ! [X0: $o > $o,X1: $o] :
( ( ( X0 @ X1 )
!= $true )
| ( ( X0 @ $false )
= $true ) )
| spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f16,f62]) ).
thf(f62,plain,
( ! [X0: $o > $o] :
( ( epso @ X0 )
= $false )
| spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f59]) ).
thf(f59,plain,
( ! [X0: $o > $o] :
( ( $true != $true )
| ( ( epso @ X0 )
= $false ) )
| spl0_2
| ~ spl0_3 ),
inference(fool_paramodulation,[status(thm)],[f52]) ).
thf(f52,plain,
( ! [X0: $o > $o] :
( ( epso @ X0 )
!= $true )
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[status(thm)],[f50,f27]) ).
thf(f27,plain,
( ( $true
!= ( epsoo @ epso @ $true ) )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f25]) ).
thf(f25,definition,
( spl0_2
<=> ( $true
= ( epsoo @ epso @ $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f50,plain,
( ! [X0: $o > $o] :
( ( ( epso @ X0 )
!= $true )
| ( $true
= ( epsoo @ epso @ $true ) ) )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f35,f15]) ).
thf(f15,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ( ( X0 @ ( epsoo @ X0 ) )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: ( $o > $o ) > $o] :
( ! [X1: $o > $o] :
( ( X0 @ X1 )
!= $true )
| ( ( X0 @ ( epsoo @ X0 ) )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( epsoo @ X0 ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] : ( X0 @ X1 )
=> ( X0 @ ( epsoo @ X0 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] : ( X0 @ X1 )
=> ( X0 @ ( epsoo @ X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',choiceaxoo) ).
thf(f35,plain,
( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f33]) ).
thf(f33,definition,
( spl0_3
<=> ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f16,plain,
! [X0: $o > $o,X1: $o] :
( ( ( X0 @ X1 )
!= $true )
| ( ( X0 @ ( epso @ X0 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: $o > $o] :
( ! [X1: $o] :
( ( X0 @ X1 )
!= $true )
| ( ( X0 @ ( epso @ X0 ) )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: $o > $o] :
( ? [X1: $o] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( epso @ X0 ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: $o > $o] :
( ? [X1: $o] : ( X0 @ X1 )
=> ( X0 @ ( epso @ X0 ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $o > $o] :
( ? [X1: $o] : ( X0 @ X1 )
=> ( X0 @ ( epso @ X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',choiceaxo) ).
thf(f118,plain,
( ( $false
!= ( epsoo @ epso @ $false ) )
| spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f27,f85]) ).
thf(f36,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f31,f20,f33]) ).
thf(f20,definition,
( spl0_1
<=> ( ( epsoo @ epso @ $false )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f31,plain,
( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f30]) ).
thf(f30,plain,
( ( ( epsoo @ epso @ ( epso @ ( epsoo @ epso ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f16,f22]) ).
thf(f22,plain,
( ( ( epsoo @ epso @ $false )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f20]) ).
thf(f28,plain,
~ spl0_2,
inference(avatar_split_clause,[status(thm)],[f18,f25]) ).
thf(f18,plain,
( $true
!= ( epsoo @ epso @ $true ) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
( ( $true
!= ( epsoo @ epso @ $true ) )
& ( ( epsoo @ epso @ $false )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
~ ( ( ( epsoo @ epso @ $false )
= $true )
=> ( $true
= ( epsoo @ epso @ $true ) ) ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
~ ( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f3,conjecture,
( ( epsoo @ epso @ $false )
=> ( epsoo @ epso @ $true ) ),
file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',c) ).
thf(f23,plain,
spl0_1,
inference(avatar_split_clause,[status(thm)],[f17,f20]) ).
thf(f17,plain,
( ( epsoo @ epso @ $false )
= $true ),
inference(cnf_transformation,[status(thm)],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO559^1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n016.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 14:34:21 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
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : SYO559^1 : TPTP v9.2.1. Released v5.2.0.
% 0.20/0.45 % Domain : Syntactic
% 0.20/0.45 % Problem : Choice on $o>$o applied to choice on $o cannot be negatio
% 0.20/0.45 % Version : Especial.
% 0.20/0.45 % English :
% 0.20/0.45
% 0.20/0.45 % Refs : [Bro11] Brown (2011), Email to Geoff Sutcliffe
% 0.20/0.45 % Source : [Bro11]
% 0.20/0.45 % Names : CHOICE31 [Bro11]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.17 v9.1.0, 0.25 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.25 v7.5.0, 0.33 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.40 v5.4.0, 0.75 v5.2.0
% 0.20/0.45 % Syntax : Number of formulae : 5 ( 2 unt; 2 typ; 0 def)
% 0.20/0.45 % Number of atoms : 8 ( 0 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.45 % Number of connectives : 13 ( 0 ~; 0 |; 0 &; 10 @)
% 0.20/0.45 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 5 ( 5 avg)
% 0.20/0.45 % Number of types : 1 ( 0 usr)
% 0.20/0.45 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% 0.20/0.45 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.20/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : Assume epso and epsoo are choice operators on $o and $o>$o,
% 0.20/0.45 % respectively. epso can also be viewed as a predicate on $o>$o,
% 0.20/0.45 % so we can apply epsoo to epso. The term (epsoo @ epso) is of
% 0.20/0.45 % type $o>$o. This function is such that if it is true for $false,
% 0.20/0.45 % then it is true for $true. Proof Sketch: If the conjecture were
% 0.20/0.45 % not true, then (epsoo @ epso) would be the negation function.
% 0.20/0.45 % However, negation is the only function $o>$o for which we are
% 0.20/0.45 % certain epso returns $false.
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(epso,type,
% 0.20/0.45 epso: ( $o > $o ) > $o ).
% 0.20/0.45
% 0.20/0.45 thf(choiceaxo,axiom,
% 0.20/0.45 ! [P: $o > $o] :
% 0.20/0.45 ( ? [X: $o] : ( P @ X )
% 0.20/0.45 => ( P @ ( epso @ P ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(epsoo,type,
% 0.20/0.45 epsoo: ( ( $o > $o ) > $o ) > $o > $o ).
% 0.20/0.45
% 0.20/0.45 thf(choiceaxoo,axiom,
% 0.20/0.45 ! [P: ( $o > $o ) > $o] :
% 0.20/0.45 ( ? [X: $o > $o] : ( P @ X )
% 0.20/0.45 => ( P @ ( epsoo @ P ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(c,conjecture,
% 0.20/0.45 ( ( epsoo @ epso @ $false )
% 0.20/0.45 => ( epsoo @ epso @ $true ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 1.51/1.25 ---- Embedded in THF ---
% 1.51/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.25 %%% Generated on Tue Feb 24 14:34:22 EST 2026
% 1.51/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.25 %%% Logic specification used:
% 1.51/1.25 %%% thf(spec, logic, $$dhol).
% 1.51/1.25
% 1.51/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2DTF4755.p
% See solution above
% 1.51/1.25 ------------------------
% 1.51/1.26 ---- Cleaned THF ---
% 1.51/1.26 thf(epso,type,
% 1.51/1.26 epso: ( $o > $o ) > $o ).
% 1.51/1.26
% 1.51/1.26 thf(choiceaxo,axiom,
% 1.51/1.26 ! [P: $o > $o] :
% 1.51/1.26 ( ? [X: $o] : ( P @ X )
% 1.51/1.26 => ( P @ ( epso @ P ) ) ) ).
% 1.51/1.26
% 1.51/1.26 thf(epsoo,type,
% 1.51/1.26 epsoo: ( ( $o > $o ) > $o ) > $o > $o ).
% 1.51/1.26
% 1.51/1.26 thf(choiceaxoo,axiom,
% 1.51/1.26 ! [P: ( $o > $o ) > $o] :
% 1.51/1.26 ( ? [X: $o > $o] : ( P @ X )
% 1.51/1.26 => ( P @ ( epsoo @ P ) ) ) ).
% 1.51/1.26
% 1.51/1.26 thf(c,conjecture,
% 1.51/1.26 ( ( epsoo @ epso @ $false )
% 1.51/1.26 => ( epsoo @ epso @ $true ) ) ).
% 1.51/1.26 ------------------------
% 1.51/1.28 % (5089)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/18Mi)
% 1.51/1.28 % (5088)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_4755 for (2999ds/275Mi)
% 1.51/1.28 % (5088)Refutation not found, incomplete strategy
% 1.51/1.28 % (5088)------------------------------
% 1.51/1.28 % (5088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.28 % (5088)Termination reason: Refutation not found, incomplete strategy
% 1.51/1.28
% 1.51/1.28
% 1.51/1.28 % (5088)Memory used [KB]: 5500
% 1.51/1.28 % (5088)Time elapsed: 0.002 s
% 1.51/1.28 % (5088)Instructions burned: 1 (million)
% 1.51/1.28 % (5088)------------------------------
% 1.51/1.28 % (5088)------------------------------
% 1.51/1.28 % (5089)Instruction limit reached!
% 1.51/1.28 % (5089)------------------------------
% 1.51/1.28 % (5089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.28 % (5089)Termination reason: Unknown
% 1.51/1.28 % (5089)Termination phase: Saturation
% 1.51/1.28
% 1.51/1.28 % (5089)Memory used [KB]: 5628
% 1.51/1.28 % (5089)Time elapsed: 0.008 s
% 1.51/1.28 % (5089)Instructions burned: 18 (million)
% 1.51/1.28 % (5089)------------------------------
% 1.51/1.28 % (5089)------------------------------
% 1.51/1.28 % (5083)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/183Mi)
% 1.51/1.28 % (5084)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_4755 for (2999ds/4Mi)
% 1.51/1.28 % (5085)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_4755 for (2999ds/27Mi)
% 1.51/1.28 % (5086)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/2Mi)
% 1.51/1.28 % (5087)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_4755 for (2999ds/2Mi)
% 1.51/1.28 % (5087)Instruction limit reached!
% 1.51/1.28 % (5087)------------------------------
% 1.51/1.28 % (5087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.28 % (5087)Termination reason: Unknown
% 1.51/1.28 % (5087)Termination phase: Saturation
% 1.51/1.28
% 1.51/1.28 % (5087)Memory used [KB]: 895
% 1.51/1.28 % (5087)Time elapsed: 0.003 s
% 1.51/1.28 % (5087)Instructions burned: 2 (million)
% 1.51/1.28 % (5087)------------------------------
% 1.51/1.28 % (5087)------------------------------
% 1.51/1.29 % (5086)Instruction limit reached!
% 1.51/1.29 % (5086)------------------------------
% 1.51/1.29 % (5086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (5086)Termination reason: Unknown
% 1.51/1.29 % (5086)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (5086)Memory used [KB]: 5500
% 1.51/1.29 % (5086)Time elapsed: 0.004 s
% 1.51/1.29 % (5086)Instructions burned: 2 (million)
% 1.51/1.29 % (5086)------------------------------
% 1.51/1.29 % (5086)------------------------------
% 1.51/1.29 % (5084)Instruction limit reached!
% 1.51/1.29 % (5084)------------------------------
% 1.51/1.29 % (5084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (5084)Termination reason: Unknown
% 1.51/1.29 % (5084)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (5084)Memory used [KB]: 5500
% 1.51/1.29 % (5084)Time elapsed: 0.005 s
% 1.51/1.29 % (5084)Instructions burned: 4 (million)
% 1.51/1.29 % (5084)------------------------------
% 1.51/1.29 % (5084)------------------------------
% 1.51/1.29 % (5085)Refutation not found, incomplete strategy
% 1.51/1.29 % (5085)------------------------------
% 1.51/1.29 % (5085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (5085)Termination reason: Refutation not found, incomplete strategy
% 1.51/1.29
% 1.51/1.29
% 1.51/1.29 % (5085)Memory used [KB]: 5500
% 1.51/1.29 % (5085)Time elapsed: 0.005 s
% 1.51/1.29 % (5085)Instructions burned: 3 (million)
% 1.51/1.29 % (5085)------------------------------
% 1.51/1.29 % (5085)------------------------------
% 1.51/1.29 % (5090)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/3Mi)
% 1.51/1.29 % (5090)Instruction limit reached!
% 1.51/1.29 % (5090)------------------------------
% 1.51/1.29 % (5090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.29 % (5090)Termination reason: Unknown
% 1.51/1.29 % (5090)Termination phase: Saturation
% 1.51/1.29
% 1.51/1.29 % (5090)Memory used [KB]: 5500
% 1.51/1.29 % (5090)Time elapsed: 0.003 s
% 1.51/1.29 % (5090)Instructions burned: 3 (million)
% 1.51/1.29 % (5090)------------------------------
% 1.51/1.29 % (5090)------------------------------
% 1.51/1.29 % (5091)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_4755 for (2999ds/37Mi)
% 1.59/1.30 % (5092)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_4755 for (2999ds/15Mi)
% 1.59/1.30 % (5096)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/16Mi)
% 1.59/1.30 % (5093)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_4755 for (2999ds/3Mi)
% 1.59/1.30 % (5094)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_4755 for (2999ds/1041Mi)
% 1.59/1.30 % (5091)Instruction limit reached!
% 1.59/1.30 % (5091)------------------------------
% 1.59/1.30 % (5091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (5091)Termination reason: Unknown
% 1.59/1.30 % (5091)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (5091)Memory used [KB]: 5756
% 1.59/1.30 % (5091)Time elapsed: 0.013 s
% 1.59/1.30 % (5091)Instructions burned: 39 (million)
% 1.59/1.30 % (5091)------------------------------
% 1.59/1.30 % (5091)------------------------------
% 1.59/1.31 % (5093)Instruction limit reached!
% 1.59/1.31 % (5093)------------------------------
% 1.59/1.31 % (5093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (5093)Termination reason: Unknown
% 1.59/1.31 % (5093)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (5093)Memory used [KB]: 5500
% 1.59/1.31 % (5093)Time elapsed: 0.004 s
% 1.59/1.31 % (5093)Instructions burned: 3 (million)
% 1.59/1.31 % (5093)------------------------------
% 1.59/1.31 % (5093)------------------------------
% 1.59/1.31 % (5095)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_4755 for (2999ds/7Mi)
% 1.59/1.31 % (5092)First to succeed.
% 1.59/1.31 % (5096)Instruction limit reached!
% 1.59/1.31 % (5096)------------------------------
% 1.59/1.31 % (5096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (5096)Termination reason: Unknown
% 1.59/1.31 % (5096)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (5096)Memory used [KB]: 5628
% 1.59/1.31 % (5096)Time elapsed: 0.008 s
% 1.59/1.31 % (5096)Instructions burned: 17 (million)
% 1.59/1.31 % (5096)------------------------------
% 1.59/1.31 % (5096)------------------------------
% 1.59/1.31 % (5092)Refutation found. Thanks to Tanya!
% 1.59/1.31 % SZS status Theorem for DTF2THF_4755
% 1.59/1.31 % SZS output start Proof for DTF2THF_4755
% 1.59/1.31 thf(func_def_0, type, epso: ($o > $o) > $o).
% 1.59/1.31 thf(func_def_2, type, epsoo: (($o > $o) > $o) > $o > $o).
% 1.59/1.31 thf(func_def_6, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.31 thf(f134,plain,(
% 1.59/1.31 $false),
% 1.59/1.31 inference(avatar_sat_refutation,[status(thm)],[f23,f28,f36,f133])).
% 1.59/1.31 thf(f133,plain,(
% 1.59/1.31 spl0_2 | ~spl0_3),
% 1.59/1.31 inference(avatar_contradiction_clause,[status(thm)],[f132])).
% 1.59/1.31 thf(f132,plain,(
% 1.59/1.31 $false | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(subsumption_resolution,[status(thm)],[f118,f85])).
% 1.59/1.31 thf(f85,plain,(
% 1.59/1.31 ( ! [X0 : $o] : (($false = X0)) ) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(leibniz_equality_elimination,[status(thm)],[f76])).
% 1.59/1.31 thf(f76,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o,X1 : $o] : (((X0 @ X1) != $true) | ((X0 @ $false) = $true)) ) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(superposition,[status(thm)],[f16,f62])).
% 1.59/1.31 thf(f62,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o] : (((epso @ X0) = $false)) ) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(trivial_inequality_removal,[status(thm)],[f59])).
% 1.59/1.31 thf(f59,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o] : (($true != $true) | ((epso @ X0) = $false)) ) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(fool_paramodulation,[status(thm)],[f52])).
% 1.59/1.31 thf(f52,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o] : (((epso @ X0) != $true)) ) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(subsumption_resolution,[status(thm)],[f50,f27])).
% 1.59/1.31 thf(f27,plain,(
% 1.59/1.31 ($true != (epsoo @ epso @ $true)) | spl0_2),
% 1.59/1.31 inference(avatar_component_clause,[status(thm)],[f25])).
% 1.59/1.31 thf(f25,definition,(
% 1.59/1.31 spl0_2 <=> ($true = (epsoo @ epso @ $true))),
% 1.59/1.31 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.59/1.31 thf(f50,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o] : (((epso @ X0) != $true) | ($true = (epsoo @ epso @ $true))) ) | ~spl0_3),
% 1.59/1.31 inference(superposition,[status(thm)],[f35,f15])).
% 1.59/1.31 thf(f15,plain,(
% 1.59/1.31 ( ! [X0 : ($o > $o) > $o,X1 : $o > $o] : (((X0 @ (epsoo @ X0)) = $true) | ((X0 @ X1) != $true)) )),
% 1.59/1.31 inference(cnf_transformation,[status(thm)],[f13])).
% 1.59/1.31 thf(f13,plain,(
% 1.59/1.31 ! [X0 : ($o > $o) > $o] : (! [X1 : $o > $o] : ((X0 @ X1) != $true) | ((X0 @ (epsoo @ X0)) = $true))),
% 1.59/1.31 inference(ennf_transformation,[status(thm)],[f7])).
% 1.59/1.31 thf(f7,plain,(
% 1.59/1.31 ! [X0 : ($o > $o) > $o] : (? [X1 : $o > $o] : ((X0 @ X1) = $true) => ((X0 @ (epsoo @ X0)) = $true))),
% 1.59/1.31 inference(fool_elimination,[status(thm)],[f6])).
% 1.59/1.31 thf(f6,plain,(
% 1.59/1.31 ! [X0 : ($o > $o) > $o] : (? [X1 : $o > $o] : (X0 @ X1) => (X0 @ (epsoo @ X0)))),
% 1.59/1.31 inference(rectify,[status(thm)],[f2])).
% 1.59/1.31 thf(f2,axiom,(
% 1.59/1.31 ! [X0 : ($o > $o) > $o] : (? [X1 : $o > $o] : (X0 @ X1) => (X0 @ (epsoo @ X0)))),
% 1.59/1.31 file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',choiceaxoo)).
% 1.59/1.31 thf(f35,plain,(
% 1.59/1.31 ((epsoo @ epso @ (epso @ (epsoo @ epso))) = $true) | ~spl0_3),
% 1.59/1.31 inference(avatar_component_clause,[status(thm)],[f33])).
% 1.59/1.31 thf(f33,definition,(
% 1.59/1.31 spl0_3 <=> ((epsoo @ epso @ (epso @ (epsoo @ epso))) = $true)),
% 1.59/1.31 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.59/1.31 thf(f16,plain,(
% 1.59/1.31 ( ! [X0 : $o > $o,X1 : $o] : (((X0 @ X1) != $true) | ((X0 @ (epso @ X0)) = $true)) )),
% 1.59/1.31 inference(cnf_transformation,[status(thm)],[f14])).
% 1.59/1.31 thf(f14,plain,(
% 1.59/1.31 ! [X0 : $o > $o] : (! [X1 : $o] : ((X0 @ X1) != $true) | ((X0 @ (epso @ X0)) = $true))),
% 1.59/1.31 inference(ennf_transformation,[status(thm)],[f9])).
% 1.59/1.31 thf(f9,plain,(
% 1.59/1.31 ! [X0 : $o > $o] : (? [X1 : $o] : ((X0 @ X1) = $true) => ((X0 @ (epso @ X0)) = $true))),
% 1.59/1.31 inference(fool_elimination,[status(thm)],[f8])).
% 1.59/1.31 thf(f8,plain,(
% 1.59/1.31 ! [X0 : $o > $o] : (? [X1 : $o] : (X0 @ X1) => (X0 @ (epso @ X0)))),
% 1.59/1.31 inference(rectify,[status(thm)],[f1])).
% 1.59/1.31 thf(f1,axiom,(
% 1.59/1.31 ! [X0 : $o > $o] : (? [X1 : $o] : (X0 @ X1) => (X0 @ (epso @ X0)))),
% 1.59/1.31 file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',choiceaxo)).
% 1.59/1.31 thf(f118,plain,(
% 1.59/1.31 ($false != (epsoo @ epso @ $false)) | (spl0_2 | ~spl0_3)),
% 1.59/1.31 inference(superposition,[status(thm)],[f27,f85])).
% 1.59/1.31 thf(f36,plain,(
% 1.59/1.31 spl0_3 | ~spl0_1),
% 1.59/1.31 inference(avatar_split_clause,[status(thm)],[f31,f20,f33])).
% 1.59/1.31 thf(f20,definition,(
% 1.59/1.31 spl0_1 <=> ((epsoo @ epso @ $false) = $true)),
% 1.59/1.31 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.59/1.31 thf(f31,plain,(
% 1.59/1.31 ((epsoo @ epso @ (epso @ (epsoo @ epso))) = $true) | ~spl0_1),
% 1.59/1.31 inference(trivial_inequality_removal,[status(thm)],[f30])).
% 1.59/1.31 thf(f30,plain,(
% 1.59/1.31 ((epsoo @ epso @ (epso @ (epsoo @ epso))) = $true) | ($true != $true) | ~spl0_1),
% 1.59/1.31 inference(superposition,[status(thm)],[f16,f22])).
% 1.59/1.31 thf(f22,plain,(
% 1.59/1.31 ((epsoo @ epso @ $false) = $true) | ~spl0_1),
% 1.59/1.31 inference(avatar_component_clause,[status(thm)],[f20])).
% 1.59/1.31 thf(f28,plain,(
% 1.59/1.31 ~spl0_2),
% 1.59/1.31 inference(avatar_split_clause,[status(thm)],[f18,f25])).
% 1.59/1.31 thf(f18,plain,(
% 1.59/1.31 ($true != (epsoo @ epso @ $true))),
% 1.59/1.31 inference(cnf_transformation,[status(thm)],[f12])).
% 1.59/1.31 thf(f12,plain,(
% 1.59/1.31 ($true != (epsoo @ epso @ $true)) & ((epsoo @ epso @ $false) = $true)),
% 1.59/1.31 inference(ennf_transformation,[status(thm)],[f11])).
% 1.59/1.31 thf(f11,plain,(
% 1.59/1.31 ~(((epsoo @ epso @ $false) = $true) => ($true = (epsoo @ epso @ $true)))),
% 1.59/1.31 inference(fool_elimination,[status(thm)],[f10])).
% 1.59/1.31 thf(f10,plain,(
% 1.59/1.31 ~((epsoo @ epso @ $false) => (epsoo @ epso @ $true))),
% 1.59/1.31 inference(rectify,[status(thm)],[f4])).
% 1.59/1.31 thf(f4,negated_conjecture,(
% 1.59/1.31 ~((epsoo @ epso @ $false) => (epsoo @ epso @ $true))),
% 1.59/1.31 inference(negated_conjecture,[status(cth)],[f3])).
% 1.59/1.31 thf(f3,conjecture,(
% 1.59/1.31 (epsoo @ epso @ $false) => (epsoo @ epso @ $true)),
% 1.59/1.31 file('/export/starexec/sandbox/tmp/tmp.YfkMAcyZZO/DTF2THF_4755.p',c)).
% 1.59/1.31 thf(f23,plain,(
% 1.59/1.31 spl0_1),
% 1.59/1.31 inference(avatar_split_clause,[status(thm)],[f17,f20])).
% 1.59/1.31 thf(f17,plain,(
% 1.59/1.31 ((epsoo @ epso @ $false) = $true)),
% 1.59/1.31 inference(cnf_transformation,[status(thm)],[f12])).
% 1.59/1.31 % SZS output end Proof for DTF2THF_4755
% 1.59/1.31 % (5092)------------------------------
% 1.59/1.31 % (5092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (5092)Termination reason: Refutation
% 1.59/1.31
% 1.59/1.31 % (5092)Memory used [KB]: 5500
% 1.59/1.31 % (5092)Time elapsed: 0.008 s
% 1.59/1.31 % (5092)Instructions burned: 7 (million)
% 1.59/1.31 % (5092)------------------------------
% 1.59/1.31 % (5092)------------------------------
% 1.59/1.31 % (5082)Success in time 0.037 s
%------------------------------------------------------------------------------