%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR142^1 : 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 : n005.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 08:43:08 AM UTC 2026
% Result : Theorem 1.59s 1.35s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 27 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 107 ( 11 ~; 9 |; 0 &; 82 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 36 !; 4 ?; 40 :)
% 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_11,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f29,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f28]) ).
thf(f28,plain,
$false = $true,
inference(backward_demodulation,[status(thm)],[f21,f27]) ).
thf(f27,plain,
! [X0: $i] :
( $false
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $i] :
( ( $false
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f20,f25]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f24]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false ) ),
inference(superposition,[status(thm)],[f22,f19]) ).
thf(f19,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[status(thm)],[f10]) ).
thf(f10,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[status(thm)],[f9]) ).
thf(f9,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.mPV4kIMHVv/DTF2THF_25188.p',ax) ).
thf(f22,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
!= $true )
| ( $false
= ( X1 @ X3 @ X2 ) )
| ( ( X0 @ X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
!= $true )
| ( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
!= $true )
| ! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) ) ),
inference(rectify,[status(thm)],[f15]) ).
thf(f15,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
!= $true )
| ! [X3: $i,X2: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(ennf_transformation,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
= $true )
=> ! [X3: $i,X2: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(fool_elimination,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X3 @ X2 )
<=> ( X1 @ X2 @ X3 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X3: $i,X2: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',ax_001) ).
thf(f20,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(ennf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
~ ? [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f13]) ).
thf(f13,plain,
~ ? [X0: $i] : ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,negated_conjecture,
~ ? [X4: $i] : ( husband_THFTYPE_IiioI @ X4 @ lCorina_THFTYPE_i ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f4,conjecture,
? [X4: $i] : ( husband_THFTYPE_IiioI @ X4 @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',con) ).
thf(f21,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',ax_002) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CSR142^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n005.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 05:52:14 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.39 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : CSR142^1 : TPTP v9.2.1. Released v4.1.0.
% 0.16/0.39 % Domain : Commonsense Reasoning
% 0.16/0.39 % Problem : Who is the husband of Corina?
% 0.16/0.39 % Version : Especial.
% 0.16/0.39 % English : Corina is the wife of Chris. Who is the husband of Corina?
% 0.16/0.39
% 0.16/0.39 % Refs : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.16/0.39 % Source : [Ben10]
% 0.16/0.39 % Names : ex_1.tq_SUMO_handselected [Ben10]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.1.0
% 0.16/0.39 % Syntax : Number of formulae : 10 ( 3 unt; 6 typ; 0 def)
% 0.16/0.39 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 3 ( 1 avg)
% 0.16/0.39 % Number of connectives : 14 ( 0 ~; 0 |; 0 &; 12 @)
% 0.16/0.39 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 9 ( 5 avg)
% 0.16/0.39 % Number of types : 3 ( 1 usr)
% 0.16/0.39 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.16/0.39 % Number of variables : 5 ( 0 ^; 4 !; 1 ?; 5 :)
% 0.16/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.16/0.39 % Initally the problem has been hand generated in KIF syntax in
% 0.16/0.39 % SigmaKEE and then automatically translated by Benzmueller's
% 0.16/0.39 % KIF2TH0 translator into THF syntax.
% 0.16/0.39 % : The translation has been applied in three modes: handselected,
% 0.16/0.39 % SInE, and local. The local mode only translates the local
% 0.16/0.39 % assumptions and the query. The SInE mode additionally translates
% 0.16/0.39 % the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.16/0.39 % handselected mode contains a hand-selected relevant axioms.
% 0.16/0.39 % : The examples are selected to illustrate the benefits of
% 0.16/0.39 % higher-order reasoning in ontology reasoning.
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 %----The extracted signature
% 0.16/0.39 thf(numbers,type,
% 0.16/0.39 num: $tType ).
% 0.16/0.39
% 0.16/0.39 thf(husband_THFTYPE_IiioI,type,
% 0.16/0.39 husband_THFTYPE_IiioI: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(lChris_THFTYPE_i,type,
% 0.16/0.39 lChris_THFTYPE_i: $i ).
% 0.16/0.39
% 0.16/0.39 thf(lCorina_THFTYPE_i,type,
% 0.16/0.39 lCorina_THFTYPE_i: $i ).
% 0.16/0.39
% 0.16/0.39 thf(wife_THFTYPE_IiioI,type,
% 0.16/0.39 wife_THFTYPE_IiioI: $i > $i > $o ).
% 0.16/0.39
% 0.16/0.39 %----The handselected axioms from the knowledge base
% 0.16/0.39 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 0.16/0.39 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.16/0.39
% 0.16/0.39 thf(ax,axiom,
% 0.16/0.39 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 0.16/0.39
% 0.16/0.39 thf(ax_001,axiom,
% 0.16/0.39 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 0.16/0.39 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 0.16/0.39 => ! [INST1: $i,INST2: $i] :
% 0.16/0.39 ( ( REL1 @ INST1 @ INST2 )
% 0.16/0.39 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %----The translated axioms
% 0.16/0.39 thf(ax_002,axiom,
% 0.16/0.39 wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).
% 0.16/0.39
% 0.16/0.39 %----The translated conjectures
% 0.16/0.39 thf(con,conjecture,
% 0.16/0.39 ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 1.59/1.32 ---- Embedded in THF ---
% 1.59/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.59/1.32 %%% Generated on Tue Feb 24 05:52:15 EST 2026
% 1.59/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.59/1.32 %%% Logic specification used:
% 1.59/1.32 %%% thf(spec, logic, $$dhol).
% 1.59/1.32
% 1.59/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2DTF25188.p
% See solution above
% 1.59/1.32 ------------------------
% 1.59/1.33 ---- Cleaned THF ---
% 1.59/1.33 thf(numbers,type,
% 1.59/1.33 num: $tType ).
% 1.59/1.33
% 1.59/1.33 thf(husband_THFTYPE_IiioI,type,
% 1.59/1.33 husband_THFTYPE_IiioI: $i > $i > $o ).
% 1.59/1.33
% 1.59/1.33 thf(lChris_THFTYPE_i,type,
% 1.59/1.33 lChris_THFTYPE_i: $i ).
% 1.59/1.33
% 1.59/1.33 thf(lCorina_THFTYPE_i,type,
% 1.59/1.33 lCorina_THFTYPE_i: $i ).
% 1.59/1.33
% 1.59/1.33 thf(wife_THFTYPE_IiioI,type,
% 1.59/1.33 wife_THFTYPE_IiioI: $i > $i > $o ).
% 1.59/1.33
% 1.59/1.33 thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 1.59/1.33 inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 1.59/1.33
% 1.59/1.33 thf(ax,axiom,
% 1.59/1.33 inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 1.59/1.33
% 1.59/1.33 thf(ax_001,axiom,
% 1.59/1.33 ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 1.59/1.33 ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 1.59/1.33 => ! [INST1: $i,INST2: $i] :
% 1.59/1.33 ( ( REL1 @ INST1 @ INST2 )
% 1.59/1.33 <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 1.59/1.33
% 1.59/1.33 thf(ax_002,axiom,
% 1.59/1.33 wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ).
% 1.59/1.33
% 1.59/1.33 thf(con,conjecture,
% 1.59/1.33 ? [X: $i] : ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ).
% 1.59/1.33 ------------------------
% 1.59/1.35 % (25285)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25188 for (2999ds/183Mi)
% 1.59/1.35 % (25288)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25188 for (2999ds/2Mi)
% 1.59/1.35 % (25286)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_25188 for (2999ds/4Mi)
% 1.59/1.35 % (25290)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_25188 for (2999ds/275Mi)
% 1.59/1.35 % (25289)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_25188 for (2999ds/2Mi)
% 1.59/1.35 % (25287)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_25188 for (2999ds/27Mi)
% 1.59/1.35 % (25291)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25188 for (2999ds/18Mi)
% 1.59/1.35 % (25288)Instruction limit reached!
% 1.59/1.35 % (25288)------------------------------
% 1.59/1.35 % (25288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (25288)Termination reason: Unknown
% 1.59/1.35 % (25289)Instruction limit reached!
% 1.59/1.35 % (25289)------------------------------
% 1.59/1.35 % (25289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (25289)Termination reason: Unknown
% 1.59/1.35 % (25289)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (25289)Memory used [KB]: 5500
% 1.59/1.35 % (25289)Time elapsed: 0.003 s
% 1.59/1.35 % (25289)Instructions burned: 2 (million)
% 1.59/1.35 % (25289)------------------------------
% 1.59/1.35 % (25289)------------------------------
% 1.59/1.35 % (25288)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (25288)Memory used [KB]: 5500
% 1.59/1.35 % (25288)Time elapsed: 0.003 s
% 1.59/1.35 % (25290)Refutation not found, incomplete strategy
% 1.59/1.35 % (25290)------------------------------
% 1.59/1.35 % (25290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (25288)Instructions burned: 2 (million)
% 1.59/1.35 % (25288)------------------------------
% 1.59/1.35 % (25288)------------------------------
% 1.59/1.35 % (25290)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (25290)Memory used [KB]: 5500
% 1.59/1.35 % (25290)Time elapsed: 0.003 s
% 1.59/1.35 % (25290)Instructions burned: 1 (million)
% 1.59/1.35 % (25290)------------------------------
% 1.59/1.35 % (25290)------------------------------
% 1.59/1.35 % (25291)First to succeed.
% 1.59/1.35 % (25286)Instruction limit reached!
% 1.59/1.35 % (25286)------------------------------
% 1.59/1.35 % (25286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (25286)Termination reason: Unknown
% 1.59/1.35 % (25287)Also succeeded, but the first one will report.
% 1.59/1.35 % (25286)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (25286)Memory used [KB]: 5500
% 1.59/1.35 % (25286)Time elapsed: 0.005 s
% 1.59/1.35 % (25286)Instructions burned: 5 (million)
% 1.59/1.35 % (25286)------------------------------
% 1.59/1.35 % (25286)------------------------------
% 1.59/1.35 % (25291)Refutation found. Thanks to Tanya!
% 1.59/1.35 % SZS status Theorem for DTF2THF_25188
% 1.59/1.35 % SZS output start Proof for DTF2THF_25188
% 1.59/1.35 thf(func_def_0, type, num: $tType).
% 1.59/1.35 thf(func_def_1, type, husband_THFTYPE_IiioI: $i > $i > $o).
% 1.59/1.35 thf(func_def_4, type, wife_THFTYPE_IiioI: $i > $i > $o).
% 1.59/1.35 thf(func_def_5, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.59/1.35 thf(func_def_11, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.35 thf(f29,plain,(
% 1.59/1.35 $false),
% 1.59/1.35 inference(trivial_inequality_removal,[status(thm)],[f28])).
% 1.59/1.35 thf(f28,plain,(
% 1.59/1.35 ($false = $true)),
% 1.59/1.35 inference(backward_demodulation,[status(thm)],[f21,f27])).
% 1.59/1.35 thf(f27,plain,(
% 1.59/1.35 ( ! [X0 : $i] : (($false = (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0))) )),
% 1.59/1.35 inference(trivial_inequality_removal,[status(thm)],[f26])).
% 1.59/1.35 thf(f26,plain,(
% 1.59/1.35 ( ! [X0 : $i] : (($false = (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0)) | ($true != $true)) )),
% 1.59/1.35 inference(superposition,[status(thm)],[f20,f25])).
% 1.59/1.35 thf(f25,plain,(
% 1.59/1.35 ( ! [X0 : $i,X1 : $i] : (($true = (husband_THFTYPE_IiioI @ X1 @ X0)) | ((wife_THFTYPE_IiioI @ X0 @ X1) = $false)) )),
% 1.59/1.35 inference(trivial_inequality_removal,[status(thm)],[f24])).
% 1.59/1.35 thf(f24,plain,(
% 1.59/1.35 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = (husband_THFTYPE_IiioI @ X1 @ X0)) | ((wife_THFTYPE_IiioI @ X0 @ X1) = $false)) )),
% 1.59/1.35 inference(superposition,[status(thm)],[f22,f19])).
% 1.59/1.35 thf(f19,plain,(
% 1.59/1.35 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.59/1.35 inference(cnf_transformation,[status(thm)],[f10])).
% 1.59/1.35 thf(f10,plain,(
% 1.59/1.35 ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.59/1.35 inference(fool_elimination,[status(thm)],[f9])).
% 1.59/1.35 thf(f9,plain,(
% 1.59/1.35 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.59/1.35 inference(rectify,[status(thm)],[f1])).
% 1.59/1.35 thf(f1,axiom,(
% 1.59/1.35 (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.59/1.35 file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',ax)).
% 1.59/1.35 thf(f22,plain,(
% 1.59/1.35 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ($false = (X1 @ X3 @ X2)) | ((X0 @ X2 @ X3) = $true)) )),
% 1.59/1.35 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 1.59/1.35 thf(f18,plain,(
% 1.59/1.35 ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ((X0 @ X2 @ X3) = (X1 @ X3 @ X2))) )),
% 1.59/1.35 inference(cnf_transformation,[status(thm)],[f17])).
% 1.59/1.35 thf(f17,plain,(
% 1.59/1.35 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ! [X2 : $i,X3 : $i] : ((X0 @ X2 @ X3) = (X1 @ X3 @ X2)))),
% 1.59/1.35 inference(rectify,[status(thm)],[f15])).
% 1.59/1.35 thf(f15,plain,(
% 1.59/1.35 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ! [X3 : $i,X2 : $i] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 1.59/1.35 inference(ennf_transformation,[status(thm)],[f12])).
% 1.59/1.35 thf(f12,plain,(
% 1.59/1.35 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) = $true) => ! [X3 : $i,X2 : $i] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 1.59/1.35 inference(fool_elimination,[status(thm)],[f11])).
% 1.59/1.35 thf(f11,plain,(
% 1.59/1.35 ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) => ! [X2 : $i,X3 : $i] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))),
% 1.59/1.35 inference(rectify,[status(thm)],[f2])).
% 1.59/1.35 thf(f2,axiom,(
% 1.59/1.35 ! [X1 : $i > $i > $o,X0 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X3 : $i,X2 : $i] : ((X1 @ X2 @ X3) <=> (X0 @ X3 @ X2)))),
% 1.59/1.35 file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',ax_001)).
% 1.59/1.35 thf(f20,plain,(
% 1.59/1.35 ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i) != $true)) )),
% 1.59/1.35 inference(cnf_transformation,[status(thm)],[f16])).
% 1.59/1.35 thf(f16,plain,(
% 1.59/1.35 ! [X0 : $i] : ((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i) != $true)),
% 1.59/1.35 inference(ennf_transformation,[status(thm)],[f14])).
% 1.59/1.35 thf(f14,plain,(
% 1.59/1.35 ~? [X0 : $i] : ((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i) = $true)),
% 1.59/1.35 inference(fool_elimination,[status(thm)],[f13])).
% 1.59/1.35 thf(f13,plain,(
% 1.59/1.35 ~? [X0 : $i] : (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)),
% 1.59/1.35 inference(rectify,[status(thm)],[f5])).
% 1.59/1.35 thf(f5,negated_conjecture,(
% 1.59/1.35 ~? [X4 : $i] : (husband_THFTYPE_IiioI @ X4 @ lCorina_THFTYPE_i)),
% 1.59/1.35 inference(negated_conjecture,[status(cth)],[f4])).
% 1.59/1.35 thf(f4,conjecture,(
% 1.59/1.35 ? [X4 : $i] : (husband_THFTYPE_IiioI @ X4 @ lCorina_THFTYPE_i)),
% 1.59/1.35 file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',con)).
% 1.59/1.35 thf(f21,plain,(
% 1.59/1.35 ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true)),
% 1.59/1.35 inference(cnf_transformation,[status(thm)],[f8])).
% 1.59/1.35 thf(f8,plain,(
% 1.59/1.35 ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true)),
% 1.59/1.35 inference(fool_elimination,[status(thm)],[f7])).
% 1.59/1.35 thf(f7,plain,(
% 1.59/1.35 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 1.59/1.35 inference(rectify,[status(thm)],[f3])).
% 1.59/1.35 thf(f3,axiom,(
% 1.59/1.35 (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)),
% 1.59/1.35 file('/export/starexec/sandbox/tmp/tmp.mPV4kIMHVv/DTF2THF_25188.p',ax_002)).
% 1.59/1.35 % SZS output end Proof for DTF2THF_25188
% 1.59/1.35 % (25291)------------------------------
% 1.59/1.35 % (25291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (25291)Termination reason: Refutation
% 1.59/1.35
% 1.59/1.35 % (25291)Memory used [KB]: 5500
% 1.59/1.35 % (25291)Time elapsed: 0.004 s
% 1.59/1.35 % (25291)Instructions burned: 2 (million)
% 1.59/1.35 % (25291)------------------------------
% 1.59/1.35 % (25291)------------------------------
% 1.59/1.35 % (25284)Success in time 0.019 s
%------------------------------------------------------------------------------