%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR146^3 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n028.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 08:43:12 AM UTC 2026
% Result : Theorem 1.67s 1.30s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 215 ( 53 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 208 ( 27 ~; 13 |; 4 &; 158 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 44 ^; 38 !; 8 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
num: $tType ).
thf(func_def_1,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_2,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_5,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_7,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_8,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_17,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f89,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f87]) ).
thf(f87,plain,
$true = $false,
inference(superposition,[status(thm)],[f67,f84]) ).
thf(f84,plain,
( $false
= ( wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i ) ),
inference(trivial_inequality_removal,[status(thm)],[f81]) ).
thf(f81,plain,
( ( $true = $false )
| ( $false
= ( wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i ) ) ),
inference(superposition,[status(thm)],[f33,f79]) ).
thf(f79,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) )
| ( $false
= ( wife_THFTYPE_IiioI @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f78]) ).
thf(f78,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $false
= ( wife_THFTYPE_IiioI @ X1 @ X0 ) )
| ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) ) ),
inference(superposition,[status(thm)],[f35,f29]) ).
thf(f29,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[status(thm)],[f19]) ).
thf(f19,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax) ).
thf(f35,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( $true
= ( X1 @ X3 @ X2 ) )
| ( $false
= ( X0 @ X2 @ X3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
thf(f22,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
= $true )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) ) ),
inference(fool_elimination,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
<=> ( X1 @ X3 @ X2 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X3: $i,X2: $i] :
( ( X0 @ X3 @ X2 )
<=> ( X1 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_001) ).
thf(f33,plain,
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f23]) ).
thf(f23,plain,
( ? [X0: $i] :
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ) ) )
=> ( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18,plain,
? [X0: $i] :
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ) ) ),
inference(fool_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
? [X0: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
? [X5: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X5 ),
file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_003) ).
thf(f67,plain,
! [X2: $i,X1: $i] :
( $true
= ( wife_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f66]) ).
thf(f66,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] : ( wife_THFTYPE_IiioI @ Y0 @ X1 )
@ X2 )
= ( ^ [Y0: $i] : $true
@ X2 ) ),
inference(argument_congruence,[status(thm)],[f65]) ).
thf(f65,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( wife_THFTYPE_IiioI @ Y0 @ X1 ) )
= ( ^ [Y0: $i] : $true ) ),
inference(beta_eta_normalization,[status(thm)],[f64]) ).
thf(f64,plain,
! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : ( wife_THFTYPE_IiioI @ Y1 @ Y0 )
@ X1 )
= ( ^ [Y0: $i,Y1: $i] : $true
@ X1 ) ),
inference(argument_congruence,[status(thm)],[f47]) ).
thf(f47,plain,
( ( ^ [Y0: $i,Y1: $i] : ( wife_THFTYPE_IiioI @ Y1 @ Y0 ) )
= ( ^ [Y0: $i,Y1: $i] : $true ) ),
inference(beta_eta_normalization,[status(thm)],[f46]) ).
thf(f46,plain,
( ( ^ [Y0: $i,Y1: $i] :
( wife_THFTYPE_IiioI
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) )
= ( ^ [Y0: $i,Y1: $i] : $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f40]) ).
thf(f40,plain,
( ( ( ^ [Y0: $i,Y1: $i] :
( wife_THFTYPE_IiioI
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y2
@ Y0
@ Y1 ) ) )
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f32,f28]) ).
thf(f28,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_004) ).
thf(f32,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: $i > $i > $o] :
( ( $true
= ( X0
= ( ^ [Y0: $i,Y1: $i] : $true ) ) )
| ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) )
| ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) )
| ( $true
!= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
~ ? [X0: $i > $i > $o] :
( ( $true
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) )
& ( $true
= ( X0
!= ( ^ [Y0: $i,Y1: $i] : $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,plain,
~ ? [X0: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( X0
!= ( ^ [X1: $i,X2: $i] : $true ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,negated_conjecture,
~ ? [X6: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( X6
!= ( ^ [X5: $i,X7: $i] : $true ) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
thf(f6,conjecture,
? [X6: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( X6
!= ( ^ [X5: $i,X7: $i] : $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR146^3 : TPTP v9.2.1. Released v4.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n028.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 05:58:27 EST 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : CSR146^3 : TPTP v9.2.1. Released v4.1.0.
% 0.30/0.46 % Domain : Commonsense Reasoning
% 0.30/0.46 % Problem : What is the relation between Chris and Corina during 2009?
% 0.30/0.46 % Version : Especial.
% 0.30/0.46 % English : During 2009 Corina is the wife of Chris. True holds at any time.
% 0.30/0.46 % What is the relation between Chris and Corina during 2009?
% 0.30/0.46
% 0.30/0.46 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Ben10]
% 0.30/0.46 % Names : ex_5.tq_SUMO_local [Ben10]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.22 v9.1.0, 0.25 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.14 v6.1.0, 0.57 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0
% 0.30/0.46 % Syntax : Number of formulae : 15 ( 1 unt; 9 typ; 0 def)
% 0.30/0.46 % Number of atoms : 14 ( 1 equ; 2 cnn)
% 0.30/0.46 % Maximal formula atoms : 3 ( 2 avg)
% 0.30/0.46 % Number of connectives : 29 ( 2 ~; 0 |; 1 &; 24 @)
% 0.30/0.46 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 9 ( 5 avg)
% 0.30/0.46 % Number of types : 3 ( 1 usr)
% 0.30/0.46 % Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% 0.30/0.46 % Number of variables : 9 ( 2 ^; 5 !; 2 ?; 9 :)
% 0.30/0.46 % SPC : TH0_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.30/0.46 % Initally the problem has been hand generated in KIF syntax in
% 0.30/0.46 % SigmaKEE and then automatically translated by Benzmueller's
% 0.30/0.46 % KIF2TH0 translator into THF syntax.
% 0.30/0.46 % : The translation has been applied in three modes: handselected,
% 0.30/0.46 % SInE, and local. The local mode only translates the local
% 0.30/0.46 % assumptions and the query. The SInE mode additionally translates
% 0.30/0.46 % the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.30/0.46 % handselected mode contains a hand-selected relevant axioms.
% 0.30/0.46 % : The examples are selected to illustrate the benefits of
% 0.30/0.46 % higher-order reasoning in ontology reasoning.
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 %----The extracted signature
% 0.30/0.46 thf(numbers,type,
% 0.30/0.46 num: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.30/0.46 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.30/0.46
% 0.30/0.46 thf(husband_THFTYPE_IiioI,type,
% 0.30/0.46 husband_THFTYPE_IiioI: $i > $i > $o ).
% 0.30/0.46
% 0.30/0.46 thf(lChris_THFTYPE_i,type,
% 0.30/0.46 lChris_THFTYPE_i: $i ).
% 0.30/0.46
% 0.30/0.46 thf(lCorina_THFTYPE_i,type,
% 0.30/0.46 lCorina_THFTYPE_i: $i ).
% 0.30/0.46
% 0.30/0.46 thf(lYearFn_THFTYPE_IiiI,type,
% 0.30/0.46 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.30/0.46
% 0.30/0.46 thf(n2009_THFTYPE_i,type,
% 0.30/0.46 n2009_THFTYPE_i: $i ).
% 0.30/0.46
% 0.30/0.46 thf(wife_THFTYPE_IiioI,type,
% 0.30/0.46 wife_THFTYPE_IiioI: $i > $i > $o ).
% 0.30/0.46
% 0.30/0.46 %----The handselected axioms from the knowledge base
% 0.30/0.46 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 0.30/0.46 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.30/0.46
% 0.30/0.46 thf(ax,axiom,
% 0.30/0.46 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 0.30/0.46
% 0.30/0.46 thf(ax_001,axiom,
% 0.30/0.46 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 0.30/0.46 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 0.30/0.46 => ! [INST1: $i,INST2: $i] :
% 0.30/0.46 ( ( REL1 @ INST1 @ INST2 )
% 0.30/0.46 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 0.30/0.46
% 0.30/0.46 %----The translated axioms
% 0.30/0.46 thf(ax_002,axiom,
% 0.30/0.46 ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
% 0.30/0.46
% 0.30/0.46 thf(ax_003,axiom,
% 0.30/0.46 ? [X: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(ax_004,axiom,
% 0.30/0.46 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
% 0.30/0.46
% 0.30/0.46 %----The translated conjectures
% 0.30/0.46 thf(con,conjecture,
% 0.30/0.46 ? [R: $i > $i > $o] :
% 0.30/0.46 ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
% 0.30/0.46 & ( (~)
% 0.30/0.46 @ ( R
% 0.30/0.46 = ( ^ [X: $i,Y: $i] : $true ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.50/1.27 ---- Embedded in THF ---
% 1.50/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.27 %%% Generated on Tue Feb 24 05:58:27 EST 2026
% 1.50/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.27 %%% Logic specification used:
% 1.50/1.27 %%% thf(spec, logic, $$dhol).
% 1.50/1.27
% 1.50/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2DTF1519.p
% See solution above
% 1.50/1.27 ------------------------
% 1.50/1.28 ---- Cleaned THF ---
% 1.50/1.28 thf(numbers,type,
% 1.50/1.28 num: $tType ).
% 1.50/1.28
% 1.50/1.28 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.50/1.28 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.50/1.28
% 1.50/1.28 thf(husband_THFTYPE_IiioI,type,
% 1.50/1.28 husband_THFTYPE_IiioI: $i > $i > $o ).
% 1.50/1.28
% 1.50/1.28 thf(lChris_THFTYPE_i,type,
% 1.50/1.28 lChris_THFTYPE_i: $i ).
% 1.50/1.28
% 1.50/1.28 thf(lCorina_THFTYPE_i,type,
% 1.50/1.28 lCorina_THFTYPE_i: $i ).
% 1.50/1.28
% 1.50/1.28 thf(lYearFn_THFTYPE_IiiI,type,
% 1.50/1.28 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.50/1.28
% 1.50/1.28 thf(n2009_THFTYPE_i,type,
% 1.50/1.28 n2009_THFTYPE_i: $i ).
% 1.50/1.28
% 1.50/1.28 thf(wife_THFTYPE_IiioI,type,
% 1.50/1.28 wife_THFTYPE_IiioI: $i > $i > $o ).
% 1.50/1.28
% 1.50/1.28 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 1.50/1.28 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 1.50/1.28
% 1.50/1.28 thf(ax,axiom,
% 1.50/1.28 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 1.50/1.28
% 1.50/1.28 thf(ax_001,axiom,
% 1.50/1.28 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 1.50/1.28 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 1.50/1.28 => ! [INST1: $i,INST2: $i] :
% 1.50/1.28 ( ( REL1 @ INST1 @ INST2 )
% 1.50/1.28 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 1.50/1.28
% 1.50/1.28 thf(ax_002,axiom,
% 1.50/1.28 ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
% 1.50/1.28
% 1.50/1.28 thf(ax_003,axiom,
% 1.50/1.28 ? [X: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ) ).
% 1.50/1.28
% 1.50/1.28 thf(ax_004,axiom,
% 1.50/1.28 holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
% 1.50/1.28
% 1.50/1.28 thf(con,conjecture,
% 1.50/1.28 ? [R: $i > $i > $o] :
% 1.50/1.28 ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
% 1.50/1.28 & ( (~)
% 1.50/1.28 @ ( R
% 1.50/1.28 = ( ^ [X: $i,Y: $i] : $true ) ) ) ) ).
% 1.50/1.28 ------------------------
% 1.50/1.29 % (1749)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1519 for (3000ds/183Mi)
% 1.67/1.30 % (1749)First to succeed.
% 1.67/1.30 % (1749)Refutation found. Thanks to Tanya!
% 1.67/1.30 % SZS status Theorem for DTF2THF_1519
% 1.67/1.30 % SZS output start Proof for DTF2THF_1519
% 1.67/1.30 thf(func_def_0, type, num: $tType).
% 1.67/1.30 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.67/1.30 thf(func_def_2, type, husband_THFTYPE_IiioI: $i > $i > $o).
% 1.67/1.30 thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.67/1.30 thf(func_def_7, type, wife_THFTYPE_IiioI: $i > $i > $o).
% 1.67/1.30 thf(func_def_8, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.67/1.30 thf(func_def_17, type, ph2: !>[X0: $tType]:(X0)).
% 1.67/1.30 thf(f89,plain,(
% 1.67/1.30 $false),
% 1.67/1.30 inference(trivial_inequality_removal,[status(thm)],[f87])).
% 1.67/1.30 thf(f87,plain,(
% 1.67/1.30 ($true = $false)),
% 1.67/1.30 inference(superposition,[status(thm)],[f67,f84])).
% 1.67/1.30 thf(f84,plain,(
% 1.67/1.30 ($false = (wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i))),
% 1.67/1.30 inference(trivial_inequality_removal,[status(thm)],[f81])).
% 1.67/1.30 thf(f81,plain,(
% 1.67/1.30 ($true = $false) | ($false = (wife_THFTYPE_IiioI @ sK0 @ lChris_THFTYPE_i))),
% 1.67/1.30 inference(superposition,[status(thm)],[f33,f79])).
% 1.67/1.30 thf(f79,plain,(
% 1.67/1.30 ( ! [X0 : $i,X1 : $i] : (($true = (husband_THFTYPE_IiioI @ X0 @ X1)) | ($false = (wife_THFTYPE_IiioI @ X1 @ X0))) )),
% 1.67/1.30 inference(trivial_inequality_removal,[status(thm)],[f78])).
% 1.67/1.30 thf(f78,plain,(
% 1.67/1.30 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($false = (wife_THFTYPE_IiioI @ X1 @ X0)) | ($true = (husband_THFTYPE_IiioI @ X0 @ X1))) )),
% 1.67/1.30 inference(superposition,[status(thm)],[f35,f29])).
% 1.67/1.30 thf(f29,plain,(
% 1.67/1.30 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.67/1.30 inference(cnf_transformation,[status(thm)],[f20])).
% 1.67/1.30 thf(f20,plain,(
% 1.67/1.30 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.67/1.30 inference(fool_elimination,[status(thm)],[f19])).
% 1.67/1.30 thf(f19,plain,(
% 1.67/1.30 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.67/1.30 inference(rectify,[status(thm)],[f1])).
% 1.67/1.30 thf(f1,axiom,(
% 1.67/1.30 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.67/1.30 file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax)).
% 1.67/1.30 thf(f35,plain,(
% 1.67/1.30 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ($true = (X1 @ X3 @ X2)) | ($false = (X0 @ X2 @ X3))) )),
% 1.67/1.30 inference(binary_proxy_clausification,[status(thm)],[f26])).
% 1.67/1.30 thf(f26,plain,(
% 1.67/1.30 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X0 @ X2 @ X3) = (X1 @ X3 @ X2)) | ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true)) )),
% 1.67/1.30 inference(cnf_transformation,[status(thm)],[f22])).
% 1.67/1.30 thf(f22,plain,(
% 1.67/1.30 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) = (X1 @ X3 @ X2)) | ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true))),
% 1.67/1.30 inference(ennf_transformation,[status(thm)],[f16])).
% 1.67/1.30 thf(f16,plain,(
% 1.67/1.30 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) = $true) => ! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) = (X1 @ X3 @ X2)))),
% 1.67/1.30 inference(fool_elimination,[status(thm)],[f15])).
% 1.67/1.30 thf(f15,plain,(
% 1.67/1.30 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) <=> (X1 @ X3 @ X2)))),
% 1.67/1.30 inference(rectify,[status(thm)],[f2])).
% 1.67/1.30 thf(f2,axiom,(
% 1.67/1.30 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X3 : $i,X2 : $i] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))),
% 1.67/1.30 file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_001)).
% 1.67/1.30 thf(f33,plain,(
% 1.67/1.30 ((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0) = $false)),
% 1.67/1.30 inference(not_proxy_clausification,[status(thm)],[f27])).
% 1.67/1.30 thf(f27,plain,(
% 1.67/1.30 ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.67/1.30 inference(cnf_transformation,[status(thm)],[f24])).
% 1.67/1.30 thf(f24,plain,(
% 1.67/1.30 ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.67/1.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f23])).
% 1.67/1.30 thf(f23,plain,(
% 1.67/1.30 ? [X0 : $i] : ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))) => ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.67/1.30 introduced(definition,[],[choice_axiom])).
% 1.67/1.30 thf(f18,plain,(
% 1.67/1.30 ? [X0 : $i] : ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0)))),
% 1.67/1.30 inference(fool_elimination,[status(thm)],[f17])).
% 1.67/1.30 thf(f17,plain,(
% 1.67/1.30 ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
% 1.67/1.30 inference(rectify,[status(thm)],[f4])).
% 1.67/1.30 thf(f4,axiom,(
% 1.67/1.30 ? [X5 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X5))),
% 1.67/1.30 file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_003)).
% 1.67/1.30 thf(f67,plain,(
% 1.67/1.30 ( ! [X2 : $i,X1 : $i] : (($true = (wife_THFTYPE_IiioI @ X2 @ X1))) )),
% 1.67/1.30 inference(beta_eta_normalization,[status(thm)],[f66])).
% 1.67/1.30 thf(f66,plain,(
% 1.67/1.30 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (wife_THFTYPE_IiioI @ Y0 @ X1)) @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) )),
% 1.67/1.30 inference(argument_congruence,[status(thm)],[f65])).
% 1.67/1.30 thf(f65,plain,(
% 1.67/1.30 ( ! [X1 : $i] : (((^[Y0 : $i]: (wife_THFTYPE_IiioI @ Y0 @ X1)) = (^[Y0 : $i]: ($true)))) )),
% 1.67/1.30 inference(beta_eta_normalization,[status(thm)],[f64])).
% 1.67/1.30 thf(f64,plain,(
% 1.67/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ Y1 @ Y0)))) @ X1) = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) )),
% 1.67/1.30 inference(argument_congruence,[status(thm)],[f47])).
% 1.67/1.30 thf(f47,plain,(
% 1.67/1.30 ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ Y1 @ Y0)))) = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 1.67/1.30 inference(beta_eta_normalization,[status(thm)],[f46])).
% 1.67/1.30 thf(f46,plain,(
% 1.67/1.30 ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 1.67/1.30 inference(trivial_inequality_removal,[status(thm)],[f40])).
% 1.67/1.30 thf(f40,plain,(
% 1.67/1.30 ((^[Y0 : $i]: ((^[Y1 : $i]: (wife_THFTYPE_IiioI @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ($true != $true)),
% 1.67/1.30 inference(superposition,[status(thm)],[f32,f28])).
% 1.67/1.30 thf(f28,plain,(
% 1.67/1.30 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 1.67/1.30 inference(cnf_transformation,[status(thm)],[f14])).
% 1.67/1.30 thf(f14,plain,(
% 1.67/1.30 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 1.67/1.30 inference(fool_elimination,[status(thm)],[f13])).
% 1.67/1.30 thf(f13,plain,(
% 1.67/1.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 1.67/1.30 inference(rectify,[status(thm)],[f5])).
% 1.67/1.30 thf(f5,axiom,(
% 1.67/1.30 (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 1.67/1.30 file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',ax_004)).
% 1.67/1.30 thf(f32,plain,(
% 1.67/1.30 ( ! [X0 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
% 1.67/1.30 inference(equality_proxy_clausification,[status(thm)],[f31])).
% 1.67/1.30 thf(f31,plain,(
% 1.67/1.30 ( ! [X0 : $i > $i > $o] : (($true = (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))) | ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))) )),
% 1.67/1.30 inference(not_proxy_clausification,[status(thm)],[f30])).
% 1.67/1.30 thf(f30,plain,(
% 1.67/1.30 ( ! [X0 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))))) )),
% 1.67/1.30 inference(cnf_transformation,[status(thm)],[f21])).
% 1.67/1.30 thf(f21,plain,(
% 1.67/1.30 ! [X0 : $i > $i > $o] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) | ($true != (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))),
% 1.67/1.30 inference(ennf_transformation,[status(thm)],[f10])).
% 1.67/1.30 thf(f10,plain,(
% 1.67/1.30 ~? [X0 : $i > $i > $o] : (($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) & ($true = (~ (X0 = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))))))),
% 1.67/1.30 inference(fool_elimination,[status(thm)],[f9])).
% 1.67/1.30 thf(f9,plain,(
% 1.67/1.30 ~? [X0 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X0 = (^[X1 : $i, X2 : $i] : ($true)))))),
% 1.67/1.30 inference(rectify,[status(thm)],[f7])).
% 1.67/1.30 thf(f7,negated_conjecture,(
% 1.67/1.30 ~? [X6 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X6 = (^[X5 : $i, X7 : $i] : ($true)))))),
% 1.67/1.30 inference(negated_conjecture,[status(cth)],[f6])).
% 1.67/1.30 thf(f6,conjecture,(
% 1.67/1.30 ? [X6 : $i > $i > $o] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ (X6 = (^[X5 : $i, X7 : $i] : ($true)))))),
% 1.67/1.30 file('/export/starexec/sandbox2/tmp/tmp.2YuniCHD86/DTF2THF_1519.p',con)).
% 1.67/1.30 % SZS output end Proof for DTF2THF_1519
% 1.67/1.30 % (1749)------------------------------
% 1.67/1.30 % (1749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.30 % (1749)Termination reason: Refutation
% 1.67/1.30
% 1.67/1.30 % (1749)Memory used [KB]: 5628
% 1.67/1.30 % (1749)Time elapsed: 0.006 s
% 1.67/1.30 % (1749)Instructions burned: 13 (million)
% 1.67/1.30 % (1749)------------------------------
% 1.67/1.30 % (1749)------------------------------
% 1.67/1.30 % (1748)Success in time 0.015 s
%------------------------------------------------------------------------------