%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR136^2 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:43:06 AM UTC 2026
% Result : Theorem 0.24s 1.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 194 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 203 ( 39 ~; 19 |; 8 &; 125 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 30 ( 9 ^; 17 !; 4 ?; 30 :)
% 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_18,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f83,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f82,f40]) ).
thf(f40,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax_005) ).
thf(f82,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ),
inference(subsumption_resolution,[status(thm)],[f75,f44]) ).
thf(f44,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[status(thm)],[f36]) ).
thf(f36,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f35]) ).
thf(f35,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax) ).
thf(f75,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f74]) ).
thf(f74,plain,
( ( $true = $false )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(boolean_simplification,[status(thm)],[f58]) ).
thf(f58,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( ~ $true ) = $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(superposition,[status(thm)],[f43,f51]) ).
thf(f51,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ X1 @ X2 )
= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( !! @ $i @ ( X0 @ X1 ) )
= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f49]) ).
thf(f49,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( ^ [Y0: $i] : ( !! @ $i @ ( X0 @ Y0 ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( !! @ $i @ ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] : ( !! @ $i @ ( X0 @ Y0 ) ) ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
thf(f39,plain,
! [X0: $i > $i > $o] :
( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
~ ? [X0: $i > $i > $o] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y0 @ Y1 ) ) ) )
= $true )
& ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[status(thm)],[f19]) ).
thf(f19,plain,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X0 @ X2 @ X1 ) ),
inference(rectify,[status(thm)],[f13]) ).
thf(f13,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X1: $i] : ( X0 @ X1 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
thf(f12,conjecture,
? [X0: $i > $i > $o] :
( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X1: $i] : ( X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',con) ).
thf(f43,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[status(thm)],[f23]) ).
thf(f23,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax_002) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR136^2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Feb 24 05:50:37 EST 2026
% 0.11/0.31 % CPUTime :
% 0.11/0.31 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.40 ---- Original DTF file ---
% 0.17/0.40 thf(spec,logic,$$dhol).
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 % File : CSR136^2 : TPTP v9.2.1. Released v4.1.0.
% 0.17/0.40 % Domain : Commonsense Reasoning
% 0.17/0.40 % Problem : What's a common feeling of Sue and Mary to Bill?
% 0.17/0.40 % Version : Especial > Augmented > Especial.
% 0.17/0.40 % English : Does there exists a relation ?R that holds between Sue and Bill
% 0.17/0.40 % as well as between Mary and Bill?
% 0.17/0.40
% 0.17/0.40 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.17/0.40 % Source : [Ben10]
% 0.17/0.40 % Names : rv_2.tq_SUMO_sine [Ben10]
% 0.17/0.40
% 0.17/0.40 % Status : Theorem
% 0.17/0.40 % 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, 0.20 v7.2.0, 0.25 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
% 0.17/0.40 % Syntax : Number of formulae : 21 ( 10 unt; 9 typ; 0 def)
% 0.17/0.40 % Number of atoms : 14 ( 0 equ; 3 cnn)
% 0.17/0.40 % Maximal formula atoms : 2 ( 1 avg)
% 0.17/0.40 % Number of connectives : 36 ( 3 ~; 0 |; 2 &; 31 @)
% 0.17/0.40 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.40 % Maximal formula depth : 9 ( 4 avg)
% 0.17/0.40 % Number of types : 3 ( 1 usr)
% 0.17/0.40 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.17/0.40 % Number of symbols : 9 ( 8 usr; 7 con; 0-2 aty)
% 0.17/0.40 % Number of variables : 3 ( 0 ^; 2 !; 1 ?; 3 :)
% 0.17/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.40
% 0.17/0.40 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.17/0.40 % Initally the problem has been hand generated in KIF syntax in
% 0.17/0.40 % SigmaKEE and then automatically translated by Benzmueller's
% 0.17/0.40 % KIF2TH0 translator into THF syntax.
% 0.17/0.40 % : The translation has been applied in two modes: local and SInE.
% 0.17/0.40 % The local mode only translates the local assumptions and the
% 0.17/0.40 % query. The SInE mode additionally translates the SInE-extract
% 0.17/0.40 % of the loaded knowledge base (usually SUMO).
% 0.17/0.40 % : The examples are selected to illustrate the benefits of
% 0.17/0.40 % higher-order reasoning in ontology reasoning.
% 0.17/0.40 % : Note the universal predicate is excluded for ?R with the second
% 0.17/0.40 % conjunct in the query.
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 %----The extracted signature
% 0.17/0.40 thf(numbers,type,
% 0.17/0.40 num: $tType ).
% 0.17/0.40
% 0.17/0.40 thf(lAnna_THFTYPE_i,type,
% 0.17/0.40 lAnna_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(lBen_THFTYPE_i,type,
% 0.17/0.40 lBen_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(lBill_THFTYPE_i,type,
% 0.17/0.40 lBill_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(lBob_THFTYPE_i,type,
% 0.17/0.40 lBob_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(lMary_THFTYPE_i,type,
% 0.17/0.40 lMary_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(lSue_THFTYPE_i,type,
% 0.17/0.40 lSue_THFTYPE_i: $i ).
% 0.17/0.40
% 0.17/0.40 thf(likes_THFTYPE_IiioI,type,
% 0.17/0.40 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.17/0.40
% 0.17/0.40 thf(parent_THFTYPE_IiioI,type,
% 0.17/0.40 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.17/0.40
% 0.17/0.40 %----The translated axioms
% 0.17/0.40 thf(ax,axiom,
% 0.17/0.40 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_001,axiom,
% 0.17/0.40 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_002,axiom,
% 0.17/0.40 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.17/0.40
% 0.17/0.40 thf(ax_003,axiom,
% 0.17/0.40 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.17/0.40
% 0.17/0.40 thf(ax_004,axiom,
% 0.17/0.40 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_005,axiom,
% 0.17/0.40 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_006,axiom,
% 0.17/0.40 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_007,axiom,
% 0.17/0.40 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_008,axiom,
% 0.17/0.40 likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_009,axiom,
% 0.17/0.40 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 thf(ax_010,axiom,
% 0.17/0.40 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.17/0.40
% 0.17/0.40 %----The translated conjecture
% 0.17/0.40 thf(con,conjecture,
% 0.17/0.40 ? [R: $i > $i > $o] :
% 0.17/0.40 ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.17/0.40 & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 0.17/0.40 & ( (~)
% 0.17/0.40 @ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) ).
% 0.17/0.40
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 ------------------------
% 0.24/1.40 ---- Embedded in THF ---
% 0.24/1.40 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.24/1.40 %%% Generated on Tue Feb 24 05:50:38 EST 2026
% 0.24/1.40 %%% using '$$dhol' embedding, version 1.3.0.
% 0.24/1.40 %%% Logic specification used:
% 0.24/1.40 %%% thf(spec, logic, $$dhol).
% 0.24/1.40
% 0.24/1.40 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2DTF14012.p
% See solution above
% 0.24/1.40 ------------------------
% 0.24/1.41 ---- Cleaned THF ---
% 0.24/1.41 thf(numbers,type,
% 0.24/1.41 num: $tType ).
% 0.24/1.41
% 0.24/1.41 thf(lAnna_THFTYPE_i,type,
% 0.24/1.41 lAnna_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(lBen_THFTYPE_i,type,
% 0.24/1.41 lBen_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(lBill_THFTYPE_i,type,
% 0.24/1.41 lBill_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(lBob_THFTYPE_i,type,
% 0.24/1.41 lBob_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(lMary_THFTYPE_i,type,
% 0.24/1.41 lMary_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(lSue_THFTYPE_i,type,
% 0.24/1.41 lSue_THFTYPE_i: $i ).
% 0.24/1.41
% 0.24/1.41 thf(likes_THFTYPE_IiioI,type,
% 0.24/1.41 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.24/1.41
% 0.24/1.41 thf(parent_THFTYPE_IiioI,type,
% 0.24/1.41 parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.24/1.41
% 0.24/1.41 thf(ax,axiom,
% 0.24/1.41 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_001,axiom,
% 0.24/1.41 likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_002,axiom,
% 0.24/1.41 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.24/1.41
% 0.24/1.41 thf(ax_003,axiom,
% 0.24/1.41 (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.24/1.41
% 0.24/1.41 thf(ax_004,axiom,
% 0.24/1.41 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_005,axiom,
% 0.24/1.41 likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_006,axiom,
% 0.24/1.41 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_007,axiom,
% 0.24/1.41 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_008,axiom,
% 0.24/1.41 likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_009,axiom,
% 0.24/1.41 parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(ax_010,axiom,
% 0.24/1.41 parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.24/1.41
% 0.24/1.41 thf(con,conjecture,
% 0.24/1.41 ? [R: $i > $i > $o] :
% 0.24/1.41 ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.24/1.41 & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 0.24/1.41 & ( (~)
% 0.24/1.41 @ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) ).
% 0.24/1.41 ------------------------
% 0.24/1.43 % (14112)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14012 for (2999ds/2Mi)
% 0.24/1.43 % (14111)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_14012 for (2999ds/27Mi)
% 0.24/1.43 % (14109)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14012 for (2999ds/183Mi)
% 0.24/1.43 % (14114)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_14012 for (2999ds/275Mi)
% 0.24/1.43 % (14110)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_14012 for (2999ds/4Mi)
% 0.24/1.43 % (14115)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14012 for (2999ds/18Mi)
% 0.24/1.43 % (14113)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_14012 for (2999ds/2Mi)
% 0.24/1.43 % (14112)Instruction limit reached!
% 0.24/1.43 % (14112)------------------------------
% 0.24/1.43 % (14112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.24/1.43 % (14112)Termination reason: Unknown
% 0.24/1.43 % (14112)Termination phase: Saturation
% 0.24/1.43
% 0.24/1.43 % (14112)Memory used [KB]: 5500
% 0.24/1.43 % (14112)Time elapsed: 0.004 s
% 0.24/1.43 % (14112)Instructions burned: 2 (million)
% 0.24/1.43 % (14112)------------------------------
% 0.24/1.43 % (14112)------------------------------
% 0.24/1.43 % (14113)Instruction limit reached!
% 0.24/1.43 % (14113)------------------------------
% 0.24/1.43 % (14113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.24/1.43 % (14113)Termination reason: Unknown
% 0.24/1.43 % (14113)Termination phase: Saturation
% 0.24/1.43
% 0.24/1.43 % (14113)Memory used [KB]: 1023
% 0.24/1.43 % (14113)Time elapsed: 0.003 s
% 0.24/1.43 % (14113)Instructions burned: 2 (million)
% 0.24/1.43 % (14113)------------------------------
% 0.24/1.43 % (14113)------------------------------
% 0.24/1.43 % (14114)First to succeed.
% 0.24/1.43 % (14110)Instruction limit reached!
% 0.24/1.43 % (14110)------------------------------
% 0.24/1.43 % (14110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.24/1.43 % (14110)Termination reason: Unknown
% 0.24/1.43 % (14110)Termination phase: Saturation
% 0.24/1.43
% 0.24/1.43 % (14110)Memory used [KB]: 5500
% 0.24/1.43 % (14110)Time elapsed: 0.005 s
% 0.24/1.43 % (14110)Instructions burned: 5 (million)
% 0.24/1.43 % (14110)------------------------------
% 0.24/1.43 % (14110)------------------------------
% 0.24/1.43 % (14111)Also succeeded, but the first one will report.
% 0.24/1.44 % (14114)Refutation found. Thanks to Tanya!
% 0.24/1.44 % SZS status Theorem for DTF2THF_14012
% 0.24/1.44 % SZS output start Proof for DTF2THF_14012
% 0.24/1.44 thf(func_def_0, type, num: $tType).
% 0.24/1.44 thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.24/1.44 thf(func_def_8, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.24/1.44 thf(func_def_18, type, ph1: !>[X0: $tType]:(X0)).
% 0.24/1.44 thf(f83,plain,(
% 0.24/1.44 $false),
% 0.24/1.44 inference(subsumption_resolution,[status(thm)],[f82,f40])).
% 0.24/1.44 thf(f40,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.24/1.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.24/1.44 thf(f18,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.24/1.44 inference(fool_elimination,[status(thm)],[f17])).
% 0.24/1.44 thf(f17,plain,(
% 0.24/1.44 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.24/1.44 inference(rectify,[status(thm)],[f6])).
% 0.24/1.44 thf(f6,axiom,(
% 0.24/1.44 (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.24/1.44 file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax_005)).
% 0.24/1.44 thf(f82,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)),
% 0.24/1.44 inference(subsumption_resolution,[status(thm)],[f75,f44])).
% 0.24/1.44 thf(f44,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.24/1.44 inference(cnf_transformation,[status(thm)],[f36])).
% 0.24/1.44 thf(f36,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 0.24/1.44 inference(fool_elimination,[status(thm)],[f35])).
% 0.24/1.44 thf(f35,plain,(
% 0.24/1.44 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.24/1.44 inference(rectify,[status(thm)],[f1])).
% 0.24/1.44 thf(f1,axiom,(
% 0.24/1.44 (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)),
% 0.24/1.44 file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax)).
% 0.24/1.44 thf(f75,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)),
% 0.24/1.44 inference(trivial_inequality_removal,[status(thm)],[f74])).
% 0.24/1.44 thf(f74,plain,(
% 0.24/1.44 ($true = $false) | ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)),
% 0.24/1.44 inference(boolean_simplification,[status(thm)],[f58])).
% 0.24/1.44 thf(f58,plain,(
% 0.24/1.44 ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((~ $true) = $true) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)),
% 0.24/1.44 inference(superposition,[status(thm)],[f43,f51])).
% 0.24/1.44 thf(f51,plain,(
% 0.24/1.44 ( ! [X2 : $i,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ X2) = $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.24/1.44 inference(pi_clausification,[status(thm)],[f50])).
% 0.24/1.44 thf(f50,plain,(
% 0.24/1.44 ( ! [X0 : $i > $i > $o,X1 : $i] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((!! @ $i @ (X0 @ X1)) = $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.24/1.44 inference(beta_eta_normalization,[status(thm)],[f49])).
% 0.24/1.44 thf(f49,plain,(
% 0.24/1.44 ( ! [X0 : $i > $i > $o,X1 : $i] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ($true = ((^[Y0 : $i]: (!! @ $i @ (X0 @ Y0))) @ X1))) )),
% 0.24/1.44 inference(pi_clausification,[status(thm)],[f48])).
% 0.24/1.44 thf(f48,plain,(
% 0.24/1.44 ( ! [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))))) )),
% 0.24/1.44 inference(not_proxy_clausification,[status(thm)],[f47])).
% 0.24/1.44 thf(f47,plain,(
% 0.24/1.44 ( ! [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ($true != (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (X0 @ Y0)))))) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.24/1.44 inference(beta_eta_normalization,[status(thm)],[f46])).
% 0.24/1.44 thf(f46,plain,(
% 0.24/1.44 ( ! [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) != $true)) )),
% 0.24/1.44 inference(cnf_transformation,[status(thm)],[f39])).
% 0.24/1.44 thf(f39,plain,(
% 0.24/1.44 ! [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) != $true))),
% 0.24/1.44 inference(ennf_transformation,[status(thm)],[f20])).
% 0.24/1.44 thf(f20,plain,(
% 0.24/1.44 ~? [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true) & ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (X0 @ Y0 @ Y1)))))) = $true) & ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true))),
% 0.24/1.44 inference(fool_elimination,[status(thm)],[f19])).
% 0.24/1.44 thf(f19,plain,(
% 0.24/1.44 ~? [X0 : $i > $i > $o] : ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X1 : $i,X2 : $i] : (X0 @ X2 @ X1)))),
% 0.24/1.44 inference(rectify,[status(thm)],[f13])).
% 0.24/1.44 thf(f13,negated_conjecture,(
% 0.24/1.44 ~? [X0 : $i > $i > $o] : ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2 : $i,X1 : $i] : (X0 @ X1 @ X2)))),
% 0.24/1.44 inference(negated_conjecture,[status(cth)],[f12])).
% 0.24/1.44 thf(f12,conjecture,(
% 0.24/1.44 ? [X0 : $i > $i > $o] : ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (~ ! [X2 : $i,X1 : $i] : (X0 @ X1 @ X2)))),
% 0.24/1.44 file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',con)).
% 0.24/1.44 thf(f43,plain,(
% 0.24/1.44 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
% 0.24/1.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.24/1.44 thf(f24,plain,(
% 0.24/1.44 ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)) = $true)),
% 0.24/1.44 inference(fool_elimination,[status(thm)],[f23])).
% 0.24/1.44 thf(f23,plain,(
% 0.24/1.44 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
% 0.24/1.44 inference(rectify,[status(thm)],[f3])).
% 0.24/1.44 thf(f3,axiom,(
% 0.24/1.44 (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))),
% 0.24/1.44 file('/export/starexec/sandbox/tmp/tmp.TgfJ0Y6KOf/DTF2THF_14012.p',ax_002)).
% 0.24/1.44 % SZS output end Proof for DTF2THF_14012
% 0.24/1.44 % (14114)------------------------------
% 0.24/1.44 % (14114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.24/1.44 % (14114)Termination reason: Refutation
% 0.24/1.44
% 0.24/1.44 % (14114)Memory used [KB]: 5500
% 0.24/1.44 % (14114)Time elapsed: 0.005 s
% 0.24/1.44 % (14114)Instructions burned: 4 (million)
% 0.24/1.44 % (14114)------------------------------
% 0.24/1.44 % (14114)------------------------------
% 0.24/1.44 % (14108)Success in time 0.019 s
%------------------------------------------------------------------------------