%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR145^1 : 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 : n026.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 08:43:11 AM UTC 2026
% Result : Theorem 1.69s 1.48s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 15 unt; 0 typ; 1 def)
% Number of atoms : 205 ( 54 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 170 ( 35 ~; 20 |; 4 &; 104 @)
% ( 3 <=>; 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 : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 74 ( 28 ^; 38 !; 8 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
num: $tType ).
thf(func_def_1,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_4,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_5,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_8,type,
vEPSILON:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_15,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f230,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f187,f229]) ).
thf(f229,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[status(thm)],[f228]) ).
thf(f228,plain,
( $false
| ~ spl1_3 ),
inference(trivial_inequality_removal,[status(thm)],[f209]) ).
thf(f209,plain,
( ( $true = $false )
| ~ spl1_3 ),
inference(superposition,[status(thm)],[f29,f202]) ).
thf(f202,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( husband_THFTYPE_IiioI @ X1 @ X2 ) )
| ~ spl1_3 ),
inference(beta_eta_normalization,[status(thm)],[f201]) ).
thf(f201,plain,
( ! [X2: $i,X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
= ( ^ [Y0: $i] : $true
@ X2 ) )
| ~ spl1_3 ),
inference(argument_congruence,[status(thm)],[f194]) ).
thf(f194,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : $true )
= ( husband_THFTYPE_IiioI @ X1 ) )
| ~ spl1_3 ),
inference(beta_eta_normalization,[status(thm)],[f193]) ).
thf(f193,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : $true
@ X1 )
= ( husband_THFTYPE_IiioI @ X1 ) )
| ~ spl1_3 ),
inference(argument_congruence,[status(thm)],[f67]) ).
thf(f67,plain,
( ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ~ spl1_3 ),
inference(avatar_component_clause,[status(thm)],[f65]) ).
thf(f65,definition,
( spl1_3
<=> ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) ) ),
introduced(definition,[new_symbols(naming,[spl1_3])],[avatar_definition]) ).
thf(f29,plain,
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f20]) ).
thf(f20,plain,
( ? [X0: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ) )
= $true )
=> ( $true
= ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
? [X0: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0 ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
? [X4: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X4 ),
file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_002) ).
thf(f187,plain,
spl1_3,
inference(avatar_split_clause,[status(thm)],[f42,f65]) ).
thf(f42,plain,
( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f41]) ).
thf(f41,plain,
( ( husband_THFTYPE_IiioI
= ( ^ [Y0: $i,Y1: $i] : $true ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f28,f39]) ).
thf(f39,plain,
( $true
= ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(trivial_inequality_removal,[status(thm)],[f37]) ).
thf(f37,plain,
( ( $true
= ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f23,f33]) ).
thf(f33,plain,
! [X0: $i,X1: $i] :
( ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: $i,X1: $i] :
( ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( ( husband_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f30,f25]) ).
thf(f25,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,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/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( ( X0 @ X3 @ X2 )
= $false )
| ( ( X1 @ X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f26]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(ennf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
= $true )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(fool_elimination,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_001) ).
thf(f23,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f16]) ).
thf(f16,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_003) ).
thf(f28,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
= X0 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) )
| ( $true
!= ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(ennf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
~ ? [X0: $i > $i > $o] :
( ( $true
= ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( $true
= ( ( ^ [Y0: $i,Y1: $i] : $true )
!= X0 ) ) ),
inference(fool_elimination,[status(thm)],[f12]) ).
thf(f12,plain,
~ ? [X0: $i > $i > $o] :
( ( X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( ( ^ [X1: $i,X2: $i] : $true )
!= X0 ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,negated_conjecture,
~ ? [X5: $i > $i > $o] :
( ( X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( ( ^ [X4: $i,X6: $i] : $true )
!= X5 ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f5,conjecture,
? [X5: $i > $i > $o] :
( ( X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( ( ^ [X4: $i,X6: $i] : $true )
!= X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR145^1 : TPTP v9.2.1. Released v4.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n026.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 05:51:55 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.27/0.49 ---- Original DTF file ---
% 0.27/0.49 thf(spec,logic,$$dhol).
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 % File : CSR145^1 : TPTP v9.2.1. Released v4.1.0.
% 0.27/0.49 % Domain : Commonsense Reasoning
% 0.27/0.49 % Problem : What is the relation between Chris and Corina?
% 0.27/0.49 % Version : Especial.
% 0.27/0.49 % English : Corina is the wife of Chris. There is some person Chris is not
% 0.27/0.49 % husband of. What is the relationship between Chris and Corina?
% 0.27/0.49
% 0.27/0.49 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.27/0.49 % Source : [Ben10]
% 0.27/0.49 % Names : ex_4.tq_SUMO_handselected [Ben10]
% 0.27/0.49
% 0.27/0.49 % Status : Theorem
% 0.27/0.49 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.00 v6.1.0, 0.57 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.1.0, 0.40 v5.0.0, 0.20 v4.1.0
% 0.27/0.49 % Syntax : Number of formulae : 11 ( 2 unt; 6 typ; 0 def)
% 0.27/0.49 % Number of atoms : 10 ( 1 equ; 2 cnn)
% 0.27/0.49 % Maximal formula atoms : 3 ( 2 avg)
% 0.27/0.49 % Number of connectives : 21 ( 2 ~; 0 |; 1 &; 16 @)
% 0.27/0.49 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.27/0.49 % Maximal formula depth : 9 ( 5 avg)
% 0.27/0.49 % Number of types : 3 ( 1 usr)
% 0.27/0.49 % Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% 0.27/0.49 % Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% 0.27/0.49 % Number of variables : 8 ( 2 ^; 4 !; 2 ?; 8 :)
% 0.27/0.49 % SPC : TH0_THM_EQU_NAR
% 0.27/0.49
% 0.27/0.49 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.27/0.49 % Initally the problem has been hand generated in KIF syntax in
% 0.27/0.49 % SigmaKEE and then automatically translated by Benzmueller's
% 0.27/0.49 % KIF2TH0 translator into THF syntax.
% 0.27/0.49 % : The translation has been applied in three modes: handselected,
% 0.27/0.49 % SInE, and local. The local mode only translates the local
% 0.27/0.49 % assumptions and the query. The SInE mode additionally translates
% 0.27/0.49 % the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.27/0.49 % handselected mode contains a hand-selected relevant axioms.
% 0.27/0.49 % : The examples are selected to illustrate the benefits of
% 0.27/0.49 % higher-order reasoning in ontology reasoning.
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 %----The extracted signature
% 0.27/0.49 thf(numbers,type,
% 0.27/0.49 num: $tType ).
% 0.27/0.49
% 0.27/0.49 thf(husband_THFTYPE_IiioI,type,
% 0.27/0.49 husband_THFTYPE_IiioI: $i > $i > $o ).
% 0.27/0.49
% 0.27/0.49 thf(lChris_THFTYPE_i,type,
% 0.27/0.49 lChris_THFTYPE_i: $i ).
% 0.27/0.49
% 0.27/0.49 thf(lCorina_THFTYPE_i,type,
% 0.27/0.49 lCorina_THFTYPE_i: $i ).
% 0.27/0.49
% 0.27/0.49 thf(wife_THFTYPE_IiioI,type,
% 0.27/0.49 wife_THFTYPE_IiioI: $i > $i > $o ).
% 0.27/0.49
% 0.27/0.49 %----The handselected axioms from the knowledge base
% 0.27/0.49 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 0.27/0.49 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.27/0.49
% 0.27/0.49 thf(ax,axiom,
% 0.27/0.49 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 0.27/0.49
% 0.27/0.49 thf(ax_001,axiom,
% 0.27/0.49 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 0.27/0.49 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 0.27/0.49 => ! [INST1: $i,INST2: $i] :
% 0.27/0.49 ( ( REL1 @ INST1 @ INST2 )
% 0.27/0.49 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 0.27/0.49
% 0.27/0.49 %----The translated axioms
% 0.27/0.49 thf(ax_002,axiom,
% 0.27/0.49 ? [X: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ) ).
% 0.27/0.49
% 0.27/0.49 thf(ax_003,axiom,
% 0.27/0.49 wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).
% 0.27/0.49
% 0.27/0.49 %----The translated conjectures
% 0.27/0.49 thf(con,conjecture,
% 0.27/0.49 ? [R: $i > $i > $o] :
% 0.27/0.49 ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
% 0.27/0.49 & ( (~)
% 0.27/0.49 @ ( R
% 0.27/0.49 = ( ^ [X: $i,Y: $i] : $true ) ) ) ) ).
% 0.27/0.49
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 ------------------------
% 1.69/1.43 ---- Embedded in THF ---
% 1.69/1.43 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.43 %%% Generated on Tue Feb 24 05:51:56 EST 2026
% 1.69/1.43 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.43 %%% Logic specification used:
% 1.69/1.43 %%% thf(spec, logic, $$dhol).
% 1.69/1.43
% 1.69/1.43 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2DTF19076.p
% See solution above
% 1.69/1.43 ------------------------
% 1.69/1.44 ---- Cleaned THF ---
% 1.69/1.44 thf(numbers,type,
% 1.69/1.44 num: $tType ).
% 1.69/1.44
% 1.69/1.44 thf(husband_THFTYPE_IiioI,type,
% 1.69/1.44 husband_THFTYPE_IiioI: $i > $i > $o ).
% 1.69/1.44
% 1.69/1.44 thf(lChris_THFTYPE_i,type,
% 1.69/1.44 lChris_THFTYPE_i: $i ).
% 1.69/1.44
% 1.69/1.44 thf(lCorina_THFTYPE_i,type,
% 1.69/1.44 lCorina_THFTYPE_i: $i ).
% 1.69/1.44
% 1.69/1.44 thf(wife_THFTYPE_IiioI,type,
% 1.69/1.44 wife_THFTYPE_IiioI: $i > $i > $o ).
% 1.69/1.44
% 1.69/1.44 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 1.69/1.44 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 1.69/1.44
% 1.69/1.44 thf(ax,axiom,
% 1.69/1.44 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 1.69/1.44
% 1.69/1.44 thf(ax_001,axiom,
% 1.69/1.44 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 1.69/1.44 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 1.69/1.44 => ! [INST1: $i,INST2: $i] :
% 1.69/1.44 ( ( REL1 @ INST1 @ INST2 )
% 1.69/1.44 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 1.69/1.44
% 1.69/1.44 thf(ax_002,axiom,
% 1.69/1.44 ? [X: $i] : ( (~) @ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) ) ).
% 1.69/1.44
% 1.69/1.44 thf(ax_003,axiom,
% 1.69/1.44 wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).
% 1.69/1.44
% 1.69/1.44 thf(con,conjecture,
% 1.69/1.44 ? [R: $i > $i > $o] :
% 1.69/1.44 ( ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
% 1.69/1.44 & ( (~)
% 1.69/1.44 @ ( R
% 1.69/1.44 = ( ^ [X: $i,Y: $i] : $true ) ) ) ) ).
% 1.69/1.44 ------------------------
% 1.69/1.46 % (19197)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19076 for (2999ds/2Mi)
% 1.69/1.46 % (19200)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19076 for (2999ds/18Mi)
% 1.69/1.46 % (19198)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_19076 for (2999ds/2Mi)
% 1.69/1.46 % (19194)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19076 for (2999ds/183Mi)
% 1.69/1.46 % (19199)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_19076 for (2999ds/275Mi)
% 1.69/1.46 % (19196)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_19076 for (2999ds/27Mi)
% 1.69/1.46 % (19195)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_19076 for (2999ds/4Mi)
% 1.69/1.46 % (19197)Instruction limit reached!
% 1.69/1.46 % (19197)------------------------------
% 1.69/1.46 % (19197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.46 % (19197)Termination reason: Unknown
% 1.69/1.46 % (19197)Termination phase: Saturation
% 1.69/1.46 % (19198)Instruction limit reached!
% 1.69/1.46 % (19198)------------------------------
% 1.69/1.46 % (19198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.46 % (19198)Termination reason: Unknown
% 1.69/1.46 % (19198)Termination phase: Saturation
% 1.69/1.46
% 1.69/1.46 % (19198)Memory used [KB]: 5500
% 1.69/1.46 % (19198)Time elapsed: 0.003 s
% 1.69/1.46 % (19198)Instructions burned: 2 (million)
% 1.69/1.46 % (19198)------------------------------
% 1.69/1.46 % (19198)------------------------------
% 1.69/1.46
% 1.69/1.46 % (19197)Memory used [KB]: 5373
% 1.69/1.46 % (19197)Time elapsed: 0.003 s
% 1.69/1.46 % (19197)Instructions burned: 2 (million)
% 1.69/1.46 % (19197)------------------------------
% 1.69/1.46 % (19197)------------------------------
% 1.69/1.46 % (19195)Instruction limit reached!
% 1.69/1.46 % (19195)------------------------------
% 1.69/1.46 % (19195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.46 % (19195)Termination reason: Unknown
% 1.69/1.46 % (19195)Termination phase: Saturation
% 1.69/1.46
% 1.69/1.46 % (19195)Memory used [KB]: 5500
% 1.69/1.46 % (19195)Time elapsed: 0.004 s
% 1.69/1.46 % (19195)Instructions burned: 4 (million)
% 1.69/1.46 % (19195)------------------------------
% 1.69/1.46 % (19195)------------------------------
% 1.69/1.47 % (19200)Instruction limit reached!
% 1.69/1.47 % (19200)------------------------------
% 1.69/1.47 % (19200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.47 % (19200)Termination reason: Unknown
% 1.69/1.47 % (19200)Termination phase: Saturation
% 1.69/1.47
% 1.69/1.47 % (19200)Memory used [KB]: 5628
% 1.69/1.47 % (19200)Time elapsed: 0.012 s
% 1.69/1.47 % (19200)Instructions burned: 19 (million)
% 1.69/1.47 % (19200)------------------------------
% 1.69/1.47 % (19200)------------------------------
% 1.69/1.47 % (19196)First to succeed.
% 1.69/1.48 % (19196)Refutation found. Thanks to Tanya!
% 1.69/1.48 % SZS status Theorem for DTF2THF_19076
% 1.69/1.48 % SZS output start Proof for DTF2THF_19076
% 1.69/1.48 thf(func_def_0, type, num: $tType).
% 1.69/1.48 thf(func_def_1, type, husband_THFTYPE_IiioI: $i > $i > $o).
% 1.69/1.48 thf(func_def_4, type, wife_THFTYPE_IiioI: $i > $i > $o).
% 1.69/1.48 thf(func_def_5, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.69/1.48 thf(func_def_8, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 1.69/1.48 thf(func_def_15, type, ph2: !>[X0: $tType]:(X0)).
% 1.69/1.48 thf(f230,plain,(
% 1.69/1.48 $false),
% 1.69/1.48 inference(avatar_sat_refutation,[status(thm)],[f187,f229])).
% 1.69/1.48 thf(f229,plain,(
% 1.69/1.48 ~spl1_3),
% 1.69/1.48 inference(avatar_contradiction_clause,[status(thm)],[f228])).
% 1.69/1.48 thf(f228,plain,(
% 1.69/1.48 $false | ~spl1_3),
% 1.69/1.48 inference(trivial_inequality_removal,[status(thm)],[f209])).
% 1.69/1.48 thf(f209,plain,(
% 1.69/1.48 ($true = $false) | ~spl1_3),
% 1.69/1.48 inference(superposition,[status(thm)],[f29,f202])).
% 1.69/1.48 thf(f202,plain,(
% 1.69/1.48 ( ! [X2 : $i,X1 : $i] : (($true = (husband_THFTYPE_IiioI @ X1 @ X2))) ) | ~spl1_3),
% 1.69/1.48 inference(beta_eta_normalization,[status(thm)],[f201])).
% 1.69/1.48 thf(f201,plain,(
% 1.69/1.48 ( ! [X2 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ X2) = ((^[Y0 : $i]: ($true)) @ X2))) ) | ~spl1_3),
% 1.69/1.48 inference(argument_congruence,[status(thm)],[f194])).
% 1.69/1.48 thf(f194,plain,(
% 1.69/1.48 ( ! [X1 : $i] : (((^[Y0 : $i]: ($true)) = (husband_THFTYPE_IiioI @ X1))) ) | ~spl1_3),
% 1.69/1.48 inference(beta_eta_normalization,[status(thm)],[f193])).
% 1.69/1.48 thf(f193,plain,(
% 1.69/1.48 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1) = (husband_THFTYPE_IiioI @ X1))) ) | ~spl1_3),
% 1.69/1.48 inference(argument_congruence,[status(thm)],[f67])).
% 1.69/1.48 thf(f67,plain,(
% 1.69/1.48 (husband_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl1_3),
% 1.69/1.48 inference(avatar_component_clause,[status(thm)],[f65])).
% 1.69/1.48 thf(f65,definition,(
% 1.69/1.48 spl1_3 <=> (husband_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 1.69/1.48 introduced(definition,[new_symbols(naming,[spl1_3])],[avatar_definition])).
% 1.69/1.48 thf(f29,plain,(
% 1.69/1.48 ((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0) = $false)),
% 1.69/1.48 inference(not_proxy_clausification,[status(thm)],[f22])).
% 1.69/1.48 thf(f22,plain,(
% 1.69/1.48 ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.69/1.48 inference(cnf_transformation,[status(thm)],[f21])).
% 1.69/1.48 thf(f21,plain,(
% 1.69/1.48 ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.69/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f20])).
% 1.69/1.48 thf(f20,plain,(
% 1.69/1.48 ? [X0 : $i] : ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0)) = $true) => ($true = (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)))),
% 1.69/1.48 introduced(definition,[],[choice_axiom])).
% 1.69/1.48 thf(f9,plain,(
% 1.69/1.48 ? [X0 : $i] : ((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0)) = $true)),
% 1.69/1.48 inference(fool_elimination,[status(thm)],[f8])).
% 1.69/1.48 thf(f8,plain,(
% 1.69/1.48 ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
% 1.69/1.48 inference(rectify,[status(thm)],[f3])).
% 1.69/1.48 thf(f3,axiom,(
% 1.69/1.48 ? [X4 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X4))),
% 1.69/1.48 file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_002)).
% 1.69/1.48 thf(f187,plain,(
% 1.69/1.48 spl1_3),
% 1.69/1.48 inference(avatar_split_clause,[status(thm)],[f42,f65])).
% 1.69/1.48 thf(f42,plain,(
% 1.69/1.48 (husband_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
% 1.69/1.48 inference(trivial_inequality_removal,[status(thm)],[f41])).
% 1.69/1.48 thf(f41,plain,(
% 1.69/1.48 (husband_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ($true != $true)),
% 1.69/1.48 inference(superposition,[status(thm)],[f28,f39])).
% 1.69/1.48 thf(f39,plain,(
% 1.69/1.48 ($true = (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))),
% 1.69/1.48 inference(trivial_inequality_removal,[status(thm)],[f37])).
% 1.69/1.48 thf(f37,plain,(
% 1.69/1.48 ($true = (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ($true = $false)),
% 1.69/1.48 inference(superposition,[status(thm)],[f23,f33])).
% 1.69/1.48 thf(f33,plain,(
% 1.69/1.48 ( ! [X0 : $i,X1 : $i] : (((wife_THFTYPE_IiioI @ X0 @ X1) = $false) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $true)) )),
% 1.69/1.48 inference(trivial_inequality_removal,[status(thm)],[f32])).
% 1.69/1.48 thf(f32,plain,(
% 1.69/1.48 ( ! [X0 : $i,X1 : $i] : (((wife_THFTYPE_IiioI @ X0 @ X1) = $false) | ((husband_THFTYPE_IiioI @ X1 @ X0) = $true) | ($true != $true)) )),
% 1.69/1.48 inference(superposition,[status(thm)],[f30,f25])).
% 1.69/1.48 thf(f25,plain,(
% 1.69/1.48 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.69/1.48 inference(cnf_transformation,[status(thm)],[f11])).
% 1.69/1.48 thf(f11,plain,(
% 1.69/1.48 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.69/1.48 inference(fool_elimination,[status(thm)],[f10])).
% 1.69/1.48 thf(f10,plain,(
% 1.69/1.48 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.69/1.48 inference(rectify,[status(thm)],[f1])).
% 1.69/1.48 thf(f1,axiom,(
% 1.69/1.48 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.69/1.48 file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax)).
% 1.69/1.48 thf(f30,plain,(
% 1.69/1.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ((X0 @ X3 @ X2) = $false) | ((X1 @ X2 @ X3) = $true)) )),
% 1.69/1.48 inference(binary_proxy_clausification,[status(thm)],[f26])).
% 1.69/1.48 thf(f26,plain,(
% 1.69/1.48 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 @ X2 @ X3) = (X0 @ X3 @ X2)) | ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true)) )),
% 1.69/1.48 inference(cnf_transformation,[status(thm)],[f18])).
% 1.69/1.48 thf(f18,plain,(
% 1.69/1.48 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 1.69/1.48 inference(ennf_transformation,[status(thm)],[f15])).
% 1.69/1.48 thf(f15,plain,(
% 1.69/1.48 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) = $true) => ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 1.69/1.48 inference(fool_elimination,[status(thm)],[f14])).
% 1.69/1.48 thf(f14,plain,(
% 1.69/1.48 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 1.69/1.48 inference(rectify,[status(thm)],[f2])).
% 1.69/1.48 thf(f2,axiom,(
% 1.69/1.48 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 1.69/1.48 file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_001)).
% 1.69/1.48 thf(f23,plain,(
% 1.69/1.48 ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true)),
% 1.69/1.48 inference(cnf_transformation,[status(thm)],[f17])).
% 1.69/1.48 thf(f17,plain,(
% 1.69/1.48 ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true)),
% 1.69/1.48 inference(fool_elimination,[status(thm)],[f16])).
% 1.69/1.48 thf(f16,plain,(
% 1.69/1.48 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 1.69/1.48 inference(rectify,[status(thm)],[f4])).
% 1.69/1.48 thf(f4,axiom,(
% 1.69/1.48 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 1.69/1.48 file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',ax_003)).
% 1.69/1.48 thf(f28,plain,(
% 1.69/1.48 ( ! [X0 : $i > $i > $o] : (($true != (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
% 1.69/1.48 inference(equality_proxy_clausification,[status(thm)],[f27])).
% 1.69/1.48 thf(f27,plain,(
% 1.69/1.48 ( ! [X0 : $i > $i > $o] : (($true != (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ($true = ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) )),
% 1.69/1.48 inference(not_proxy_clausification,[status(thm)],[f24])).
% 1.69/1.48 thf(f24,plain,(
% 1.69/1.48 ( ! [X0 : $i > $i > $o] : (($true != (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ($true != (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)))) )),
% 1.69/1.48 inference(cnf_transformation,[status(thm)],[f19])).
% 1.69/1.48 thf(f19,plain,(
% 1.69/1.48 ! [X0 : $i > $i > $o] : (($true != (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) | ($true != (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))),
% 1.69/1.48 inference(ennf_transformation,[status(thm)],[f13])).
% 1.69/1.48 thf(f13,plain,(
% 1.69/1.48 ~? [X0 : $i > $i > $o] : (($true = (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & ($true = (~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))))),
% 1.69/1.48 inference(fool_elimination,[status(thm)],[f12])).
% 1.69/1.48 thf(f12,plain,(
% 1.69/1.48 ~? [X0 : $i > $i > $o] : ((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
% 1.69/1.48 inference(rectify,[status(thm)],[f6])).
% 1.69/1.48 thf(f6,negated_conjecture,(
% 1.69/1.48 ~? [X5 : $i > $i > $o] : ((X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X4 : $i, X6 : $i] : ($true)) = X5)))),
% 1.69/1.48 inference(negated_conjecture,[status(cth)],[f5])).
% 1.69/1.48 thf(f5,conjecture,(
% 1.69/1.48 ? [X5 : $i > $i > $o] : ((X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i) & (~ ((^[X4 : $i, X6 : $i] : ($true)) = X5)))),
% 1.69/1.48 file('/export/starexec/sandbox/tmp/tmp.hNY4QMFKCz/DTF2THF_19076.p',con)).
% 1.69/1.48 % SZS output end Proof for DTF2THF_19076
% 1.69/1.48 % (19196)------------------------------
% 1.69/1.48 % (19196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.48 % (19196)Termination reason: Refutation
% 1.69/1.48
% 1.69/1.48 % (19196)Memory used [KB]: 5628
% 1.69/1.48 % (19196)Time elapsed: 0.014 s
% 1.69/1.48 % (19196)Instructions burned: 19 (million)
% 1.69/1.48 % (19196)------------------------------
% 1.69/1.48 % (19196)------------------------------
% 1.69/1.48 % (19193)Success in time 0.029 s
%------------------------------------------------------------------------------