%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR140^1 : TPTP v9.2.1. Released v4.1.0.
% 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 08:43:07 AM UTC 2026
% Result : Theorem 1.67s 1.46s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 85 ( 22 ~; 5 |; 4 &; 54 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 14 !; 12 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
num: $tType ).
thf(func_def_7,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_8,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_11,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f61,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f58]) ).
thf(f58,plain,
$false = $true,
inference(superposition,[status(thm)],[f56,f51]) ).
thf(f51,plain,
( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[status(thm)],[f16]) ).
thf(f16,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',ax_009) ).
thf(f56,plain,
! [X0: $i] :
( $true
= ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ) ),
inference(trivial_inequality_removal,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
= ( parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i ) ) ),
inference(superposition,[status(thm)],[f49,f46]) ).
thf(f46,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f22]) ).
thf(f22,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(rectify,[status(thm)],[f9]) ).
thf(f9,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',ax_008) ).
thf(f49,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i] :
( ( ( X2 @ X0 @ lAnna_THFTYPE_i )
!= $true )
| ( ( X2 @ X1 @ lAnna_THFTYPE_i )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X2: $i > $i > $o,X0: $i,X1: $i] :
( ( ( ~ ( X2 @ X1 @ lAnna_THFTYPE_i ) )
!= $true )
| ( ( X2 @ X0 @ lAnna_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: $i,X1: $i,X2: $i > $i > $o] :
( ( ( X2 @ X0 @ lAnna_THFTYPE_i )
!= $true )
| ( ( ~ ( X2 @ X1 @ lAnna_THFTYPE_i ) )
!= $true ) ),
inference(rectify,[status(thm)],[f36]) ).
thf(f36,plain,
! [X2: $i,X1: $i,X0: $i > $i > $o] :
( ( ( X0 @ X2 @ lAnna_THFTYPE_i )
!= $true )
| ( $true
!= ( ~ ( X0 @ X1 @ lAnna_THFTYPE_i ) ) ) ),
inference(ennf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
~ ? [X1: $i,X0: $i > $i > $o,X2: $i] :
( ( $true
= ( ~ ( X0 @ X1 @ lAnna_THFTYPE_i ) ) )
& ( ( X0 @ X2 @ lAnna_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[status(thm)],[f24]) ).
thf(f24,plain,
~ ? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ X1 @ lAnna_THFTYPE_i )
& ( X0 @ X2 @ lAnna_THFTYPE_i ) ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,negated_conjecture,
~ ? [X0: $i > $i > $o,X2: $i,X1: $i] :
( ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X1 @ lAnna_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
thf(f11,conjecture,
? [X0: $i > $i > $o,X2: $i,X1: $i] :
( ~ ( X0 @ X2 @ lAnna_THFTYPE_i )
& ( X0 @ X1 @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR140^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 05:50:36 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.47 ---- Original DTF file ---
% 0.19/0.47 thf(spec,logic,$$dhol).
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 % File : CSR140^1 : TPTP v9.2.1. Released v4.1.0.
% 0.19/0.47 % Domain : Commonsense Reasoning
% 0.19/0.47 % Problem : Different feelings for Anna
% 0.19/0.47 % Version : Especial.
% 0.19/0.47 % English : Does there exists a relation ?R and persons ?X and ?Y so that ?R
% 0.19/0.47 % holds between ?X and Anna but not between ?Y and Anna.
% 0.19/0.47
% 0.19/0.47 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.19/0.47 % Source : [Ben10]
% 0.19/0.47 % Names : rv_6.tq_SUMO_local [Ben10]
% 0.19/0.47
% 0.19/0.47 % Status : Theorem
% 0.19/0.47 % Rating : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.1.0, 0.50 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.1.0
% 0.19/0.47 % Syntax : Number of formulae : 20 ( 8 unt; 9 typ; 0 def)
% 0.19/0.47 % Number of atoms : 14 ( 0 equ; 4 cnn)
% 0.19/0.47 % Maximal formula atoms : 2 ( 1 avg)
% 0.19/0.47 % Number of connectives : 33 ( 4 ~; 0 |; 1 &; 28 @)
% 0.19/0.47 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.47 % Maximal formula depth : 8 ( 4 avg)
% 0.19/0.47 % Number of types : 3 ( 1 usr)
% 0.19/0.47 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.19/0.47 % Number of symbols : 9 ( 8 usr; 7 con; 0-2 aty)
% 0.19/0.47 % Number of variables : 3 ( 0 ^; 0 !; 3 ?; 3 :)
% 0.19/0.47 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.47
% 0.19/0.47 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.19/0.47 % Initally the problem has been hand generated in KIF syntax in
% 0.19/0.47 % SigmaKEE and then automatically translated by Benzmueller's
% 0.19/0.47 % KIF2TH0 translator into THF syntax.
% 0.19/0.47 % : The translation has been applied in two modes: local and SInE.
% 0.19/0.47 % The local mode only translates the local assumptions and the
% 0.19/0.47 % query. The SInE mode additionally translates the SInE-extract
% 0.19/0.47 % of the loaded knowledge base (usually SUMO).
% 0.19/0.47 % : The examples are selected to illustrate the benefits of
% 0.19/0.47 % higher-order reasoning in ontology reasoning.
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 %----The extracted signature
% 0.19/0.47 thf(numbers,type,
% 0.19/0.47 num: $tType ).
% 0.19/0.47
% 0.19/0.47 thf(lAnna_THFTYPE_i,type,
% 0.19/0.47 lAnna_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(lBen_THFTYPE_i,type,
% 0.19/0.47 lBen_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(lBill_THFTYPE_i,type,
% 0.19/0.47 lBill_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(lBob_THFTYPE_i,type,
% 0.19/0.47 lBob_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(lMary_THFTYPE_i,type,
% 0.19/0.47 lMary_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(lSue_THFTYPE_i,type,
% 0.19/0.47 lSue_THFTYPE_i: $i ).
% 0.19/0.47
% 0.19/0.47 thf(likes_THFTYPE_IiioI,type,
% 0.19/0.47 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.19/0.47
% 0.19/0.47 thf(parent_THFTYPE_IiioI,type,
% 0.19/0.47 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.19/0.47
% 0.19/0.47 %----The translated axioms
% 0.19/0.47 thf(ax,axiom,
% 0.19/0.47 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_001,axiom,
% 0.19/0.47 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.19/0.47
% 0.19/0.47 thf(ax_002,axiom,
% 0.19/0.47 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_003,axiom,
% 0.19/0.47 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_004,axiom,
% 0.19/0.47 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_005,axiom,
% 0.19/0.47 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 0.19/0.47
% 0.19/0.47 thf(ax_006,axiom,
% 0.19/0.47 likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_007,axiom,
% 0.19/0.47 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_008,axiom,
% 0.19/0.47 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.19/0.47
% 0.19/0.47 thf(ax_009,axiom,
% 0.19/0.47 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 0.19/0.47
% 0.19/0.47 %----The translated conjecture
% 0.19/0.47 thf(con,conjecture,
% 0.19/0.47 ? [R: $i > $i > $o,X: $i,Y: $i] :
% 0.19/0.47 ( ( R @ X @ lAnna_THFTYPE_i )
% 0.19/0.47 & ( (~) @ ( R @ Y @ lAnna_THFTYPE_i ) ) ) ).
% 0.19/0.47
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 ------------------------
% 1.67/1.42 ---- Embedded in THF ---
% 1.67/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.67/1.42 %%% Generated on Tue Feb 24 05:50:37 EST 2026
% 1.67/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.67/1.42 %%% Logic specification used:
% 1.67/1.42 %%% thf(spec, logic, $$dhol).
% 1.67/1.42
% 1.67/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2DTF10360.p
% See solution above
% 1.67/1.42 ------------------------
% 1.67/1.43 ---- Cleaned THF ---
% 1.67/1.43 thf(numbers,type,
% 1.67/1.43 num: $tType ).
% 1.67/1.43
% 1.67/1.43 thf(lAnna_THFTYPE_i,type,
% 1.67/1.43 lAnna_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(lBen_THFTYPE_i,type,
% 1.67/1.43 lBen_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(lBill_THFTYPE_i,type,
% 1.67/1.43 lBill_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(lBob_THFTYPE_i,type,
% 1.67/1.43 lBob_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(lMary_THFTYPE_i,type,
% 1.67/1.43 lMary_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(lSue_THFTYPE_i,type,
% 1.67/1.43 lSue_THFTYPE_i: $i ).
% 1.67/1.43
% 1.67/1.43 thf(likes_THFTYPE_IiioI,type,
% 1.67/1.43 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.67/1.43
% 1.67/1.43 thf(parent_THFTYPE_IiioI,type,
% 1.67/1.43 parent_THFTYPE_IiioI: $i > $i > $o ).
% 1.67/1.43
% 1.67/1.43 thf(ax,axiom,
% 1.67/1.43 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_001,axiom,
% 1.67/1.43 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 1.67/1.43
% 1.67/1.43 thf(ax_002,axiom,
% 1.67/1.43 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_003,axiom,
% 1.67/1.43 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_004,axiom,
% 1.67/1.43 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_005,axiom,
% 1.67/1.43 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ).
% 1.67/1.43
% 1.67/1.43 thf(ax_006,axiom,
% 1.67/1.43 likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_007,axiom,
% 1.67/1.43 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_008,axiom,
% 1.67/1.43 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 1.67/1.43
% 1.67/1.43 thf(ax_009,axiom,
% 1.67/1.43 (~) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ).
% 1.67/1.43
% 1.67/1.43 thf(con,conjecture,
% 1.67/1.43 ? [R: $i > $i > $o,X: $i,Y: $i] :
% 1.67/1.43 ( ( R @ X @ lAnna_THFTYPE_i )
% 1.67/1.43 & ( (~) @ ( R @ Y @ lAnna_THFTYPE_i ) ) ) ).
% 1.67/1.43 ------------------------
% 1.67/1.45 % (10457)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_10360 for (2999ds/183Mi)
% 1.67/1.45 % (10459)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_10360 for (2999ds/27Mi)
% 1.67/1.45 % (10458)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_10360 for (2999ds/4Mi)
% 1.67/1.45 % (10461)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_10360 for (2999ds/2Mi)
% 1.67/1.45 % (10460)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10360 for (2999ds/2Mi)
% 1.67/1.45 % (10462)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_10360 for (2999ds/275Mi)
% 1.67/1.45 % (10460)Instruction limit reached!
% 1.67/1.45 % (10460)------------------------------
% 1.67/1.45 % (10460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45 % (10460)Termination reason: Unknown
% 1.67/1.45 % (10460)Termination phase: Saturation
% 1.67/1.45 % (10461)Instruction limit reached!
% 1.67/1.45 % (10461)------------------------------
% 1.67/1.45 % (10461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45
% 1.67/1.45 % (10460)Memory used [KB]: 895
% 1.67/1.45 % (10460)Time elapsed: 0.003 s
% 1.67/1.45 % (10460)Instructions burned: 2 (million)
% 1.67/1.45 % (10460)------------------------------
% 1.67/1.45 % (10460)------------------------------
% 1.67/1.45 % (10461)Termination reason: Unknown
% 1.67/1.45 % (10461)Termination phase: Saturation
% 1.67/1.45
% 1.67/1.45 % (10461)Memory used [KB]: 895
% 1.67/1.45 % (10461)Time elapsed: 0.003 s
% 1.67/1.45 % (10461)Instructions burned: 2 (million)
% 1.67/1.45 % (10461)------------------------------
% 1.67/1.45 % (10461)------------------------------
% 1.67/1.45 % (10463)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_10360 for (2999ds/18Mi)
% 1.67/1.46 % (10458)Instruction limit reached!
% 1.67/1.46 % (10458)------------------------------
% 1.67/1.46 % (10458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (10458)Termination reason: Unknown
% 1.67/1.46 % (10458)Termination phase: Saturation
% 1.67/1.46
% 1.67/1.46 % (10458)Memory used [KB]: 5500
% 1.67/1.46 % (10458)Time elapsed: 0.005 s
% 1.67/1.46 % (10458)Instructions burned: 4 (million)
% 1.67/1.46 % (10458)------------------------------
% 1.67/1.46 % (10458)------------------------------
% 1.67/1.46 % (10459)First to succeed.
% 1.67/1.46 % (10459)Refutation found. Thanks to Tanya!
% 1.67/1.46 % SZS status Theorem for DTF2THF_10360
% 1.67/1.46 % SZS output start Proof for DTF2THF_10360
% 1.67/1.46 thf(func_def_0, type, num: $tType).
% 1.67/1.46 thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.67/1.46 thf(func_def_8, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 1.67/1.46 thf(func_def_11, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.67/1.46 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)).
% 1.67/1.46 thf(f61,plain,(
% 1.67/1.46 $false),
% 1.67/1.46 inference(trivial_inequality_removal,[status(thm)],[f58])).
% 1.67/1.46 thf(f58,plain,(
% 1.67/1.46 ($false = $true)),
% 1.67/1.46 inference(superposition,[status(thm)],[f56,f51])).
% 1.67/1.46 thf(f51,plain,(
% 1.67/1.46 ((parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i) = $false)),
% 1.67/1.46 inference(not_proxy_clausification,[status(thm)],[f40])).
% 1.67/1.46 thf(f40,plain,(
% 1.67/1.46 ((~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.67/1.46 inference(cnf_transformation,[status(thm)],[f17])).
% 1.67/1.46 thf(f17,plain,(
% 1.67/1.46 ((~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i)) = $true)),
% 1.67/1.46 inference(fool_elimination,[status(thm)],[f16])).
% 1.67/1.46 thf(f16,plain,(
% 1.67/1.46 (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.67/1.46 inference(rectify,[status(thm)],[f10])).
% 1.67/1.46 thf(f10,axiom,(
% 1.67/1.46 (~ (parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i))),
% 1.67/1.46 file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',ax_009)).
% 1.67/1.46 thf(f56,plain,(
% 1.67/1.46 ( ! [X0 : $i] : (($true = (parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i))) )),
% 1.67/1.46 inference(trivial_inequality_removal,[status(thm)],[f54])).
% 1.67/1.46 thf(f54,plain,(
% 1.67/1.46 ( ! [X0 : $i] : (($true != $true) | ($true = (parent_THFTYPE_IiioI @ X0 @ lAnna_THFTYPE_i))) )),
% 1.67/1.46 inference(superposition,[status(thm)],[f49,f46])).
% 1.67/1.46 thf(f46,plain,(
% 1.67/1.46 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true)),
% 1.67/1.46 inference(cnf_transformation,[status(thm)],[f23])).
% 1.67/1.46 thf(f23,plain,(
% 1.67/1.46 ((parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i) = $true)),
% 1.67/1.46 inference(fool_elimination,[status(thm)],[f22])).
% 1.67/1.46 thf(f22,plain,(
% 1.67/1.46 (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)),
% 1.67/1.46 inference(rectify,[status(thm)],[f9])).
% 1.67/1.46 thf(f9,axiom,(
% 1.67/1.46 (parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i)),
% 1.67/1.46 file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',ax_008)).
% 1.67/1.46 thf(f49,plain,(
% 1.67/1.46 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i] : (((X2 @ X0 @ lAnna_THFTYPE_i) != $true) | ((X2 @ X1 @ lAnna_THFTYPE_i) = $true)) )),
% 1.67/1.46 inference(not_proxy_clausification,[status(thm)],[f47])).
% 1.67/1.46 thf(f47,plain,(
% 1.67/1.46 ( ! [X2 : $i > $i > $o,X0 : $i,X1 : $i] : (((~ (X2 @ X1 @ lAnna_THFTYPE_i)) != $true) | ((X2 @ X0 @ lAnna_THFTYPE_i) != $true)) )),
% 1.67/1.46 inference(cnf_transformation,[status(thm)],[f37])).
% 1.67/1.46 thf(f37,plain,(
% 1.67/1.46 ! [X0 : $i,X1 : $i,X2 : $i > $i > $o] : (((X2 @ X0 @ lAnna_THFTYPE_i) != $true) | ((~ (X2 @ X1 @ lAnna_THFTYPE_i)) != $true))),
% 1.67/1.46 inference(rectify,[status(thm)],[f36])).
% 1.67/1.46 thf(f36,plain,(
% 1.67/1.46 ! [X2 : $i,X1 : $i,X0 : $i > $i > $o] : (((X0 @ X2 @ lAnna_THFTYPE_i) != $true) | ($true != (~ (X0 @ X1 @ lAnna_THFTYPE_i))))),
% 1.67/1.46 inference(ennf_transformation,[status(thm)],[f25])).
% 1.67/1.46 thf(f25,plain,(
% 1.67/1.46 ~? [X1 : $i,X0 : $i > $i > $o,X2 : $i] : (($true = (~ (X0 @ X1 @ lAnna_THFTYPE_i))) & ((X0 @ X2 @ lAnna_THFTYPE_i) = $true))),
% 1.67/1.46 inference(fool_elimination,[status(thm)],[f24])).
% 1.67/1.46 thf(f24,plain,(
% 1.67/1.46 ~? [X0 : $i > $i > $o,X1 : $i,X2 : $i] : ((~ (X0 @ X1 @ lAnna_THFTYPE_i)) & (X0 @ X2 @ lAnna_THFTYPE_i))),
% 1.67/1.46 inference(rectify,[status(thm)],[f12])).
% 1.67/1.46 thf(f12,negated_conjecture,(
% 1.67/1.46 ~? [X0 : $i > $i > $o,X2 : $i,X1 : $i] : ((~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 1.67/1.46 inference(negated_conjecture,[status(cth)],[f11])).
% 1.67/1.46 thf(f11,conjecture,(
% 1.67/1.46 ? [X0 : $i > $i > $o,X2 : $i,X1 : $i] : ((~ (X0 @ X2 @ lAnna_THFTYPE_i)) & (X0 @ X1 @ lAnna_THFTYPE_i))),
% 1.67/1.46 file('/export/starexec/sandbox/tmp/tmp.ietW20bDWj/DTF2THF_10360.p',con)).
% 1.67/1.46 % SZS output end Proof for DTF2THF_10360
% 1.67/1.46 % (10459)------------------------------
% 1.67/1.46 % (10459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.46 % (10459)Termination reason: Refutation
% 1.67/1.46
% 1.67/1.46 % (10459)Memory used [KB]: 5500
% 1.67/1.46 % (10459)Time elapsed: 0.005 s
% 1.67/1.46 % (10459)Instructions burned: 5 (million)
% 1.67/1.46 % (10459)------------------------------
% 1.67/1.46 % (10459)------------------------------
% 1.67/1.46 % (10456)Success in time 0.02 s
%------------------------------------------------------------------------------