%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR146^3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:16:15 AM UTC 2026
% Result : Theorem 2.15s 0.64s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 448 ( 83 unt; 0 typ; 0 def)
% Number of atoms : 3450 (1420 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 3469 ( 525 ~; 755 |; 6 &;2179 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 494 ( 494 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 1114 ( 290 ^; 818 !; 6 ?;1114 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(tp_husband_THFTYPE_IiioI,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_inverse_THFTYPE_IIiioIIiioIoI,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_lChris_THFTYPE_i,type,
lChris_THFTYPE_i: $i ).
thf(tp_lCorina_THFTYPE_i,type,
lCorina_THFTYPE_i: $i ).
thf(tp_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(tp_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_wife_THFTYPE_IiioI,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(1,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(2,axiom,
? [X: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(3,axiom,
! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(4,axiom,
! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(5,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(6,conjecture,
? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(7,negated_conjecture,
( ( ? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ? [X: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
=> ! [INST1: $i,INST2: $i] :
( ( REL1 @ INST1 @ INST2 )
<=> ( REL2 @ INST2 @ INST1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ ? [R: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( R
!= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( R
= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(16,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(17,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(18,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
| ( ! [INST1: $i,INST2: $i] :
( ~ ( REL1 @ INST1 @ INST2 )
| ( REL2 @ INST2 @ INST1 ) )
& ! [INST1: $i,INST2: $i] :
( ~ ( REL2 @ INST2 @ INST1 )
| ( REL1 @ INST1 @ INST2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(21,plain,
( ( ~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [R: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( R @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( R
= ( ^ [X: $i,Y: $i] : $true ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(24,plain,
( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SX1 @ SX0 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX1 @ SX2 @ SX3 )
| ( SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( SX0 @ SX3 @ SX2 )
| ( SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(25,plain,
! [SV1: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
( ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV2: $i > $i > $o] :
( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( SV2
= ( ^ [X: $i,Y: $i] : $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV3: $i > $i > $o] :
( ( ! [SY11: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SY11 @ SV3 )
| ~ ( ~ ! [SY12: $i,SY13: $i] :
( ~ ( SY11 @ SY12 @ SY13 )
| ( SV3 @ SY13 @ SY12 ) )
| ~ ! [SY14: $i,SY15: $i] :
( ~ ( SV3 @ SY15 @ SY14 )
| ( SY11 @ SY14 @ SY15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: $i > $i > $o] :
( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) )
= $true )
| ( ( SV2
= ( ^ [X: $i,Y: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
| ~ ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV2: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( SV2
= ( ^ [X: $i,Y: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i > $i > $o] :
( ( ( ! [SV5: $i] :
( ( SV2 @ SV5 )
= ( ^ [Y: $i] : $true ) ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [X: $i,Y: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false )
| ( ( ~ ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV6: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV6 )
= ( ^ [Y: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) )
| ~ ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV6: $i,SV2: $i > $i > $o] :
( ( ( ! [SV7: $i] :
( ( SV2 @ SV6 @ SV7 )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV6: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV6 )
= ( ^ [Y: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ~ ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ~ ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV6 @ SV8 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: $i > $i > $o,SV4: $i > $i > $o] :
( ( ( ! [SY16: $i,SY17: $i] :
( ~ ( SV4 @ SY16 @ SY17 )
| ( SV3 @ SY17 @ SY16 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV4: $i > $i > $o,SV3: $i > $i > $o] :
( ( ( ! [SY18: $i,SY19: $i] :
( ~ ( SV3 @ SY19 @ SY18 )
| ( SV4 @ SY18 @ SY19 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV6 @ SV8 )
| $true )
| ~ ( ~ ( SV2 @ SV6 @ SV8 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV6 @ SV8 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV3: $i > $i > $o,SV9: $i,SV4: $i > $i > $o] :
( ( ( ! [SY22: $i] :
( ~ ( SV4 @ SV9 @ SY22 )
| ( SV3 @ SY22 @ SV9 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV4: $i > $i > $o,SV10: $i,SV3: $i > $i > $o] :
( ( ( ! [SY23: $i] :
( ~ ( SV3 @ SY23 @ SV10 )
| ( SV4 @ SV10 @ SY23 ) ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV6 @ SV8 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV6 @ SV8 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV9 @ SV11 )
| ( SV3 @ SV11 @ SV9 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV12 @ SV10 )
| ( SV4 @ SV10 @ SV12 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV6 @ SV8 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV6 @ SV8 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( ~ ( SV4 @ SV9 @ SV11 ) )
= $true )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( ~ ( SV3 @ SV12 @ SV10 ) )
= $true )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(56,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV2 @ SV6 @ SV8 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV6 @ SV8 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV6 @ SV8 ) )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(67,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV8 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(70,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : $false )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SV18: $i] : ^ [SV19: $i] : $false ))]]) ).
thf(71,plain,
! [SV17: $i > $i > $o] :
( ( ( ( ^ [SX0: $i,SX1: $i] :
~ ( SV17 @ SX0 @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : ~ ( SV17 @ SV15 @ SV16 ) ))]]) ).
thf(72,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SY24: $i] : ^ [SY25: $i] : ( SY24 != SY25 ) ))]]) ).
thf(73,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[34:[bind(SV2,$thf( ^ [SV14: $i] : ^ [SV13: $i] : ( SV14 = SV13 ) ))]]) ).
thf(75,plain,
( ( ( ( ^ [SX0: $i] : $false )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV18: $i] : ^ [SV19: $i] : $false ))]]) ).
thf(76,plain,
! [SV6: $i,SV17: $i > $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV17 @ SV6 @ SX0 ) )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : ~ ( SV17 @ SV15 @ SV16 ) ))]]) ).
thf(77,plain,
! [SV6: $i] :
( ( ( ( ^ [SX0: $i] : ( SV6 != SX0 ) )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SY24: $i] : ^ [SY25: $i] : ( SY24 != SY25 ) ))]]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( ( ^ [SX0: $i] : ( SV6 = SX0 ) )
= ( ^ [SX0: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV14: $i] : ^ [SV13: $i] : ( SV14 = SV13 ) ))]]) ).
thf(80,plain,
( ( ( $false = $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV2,$thf( ^ [SV18: $i] : ^ [SV19: $i] : $false ))]]) ).
thf(81,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( ( ~ ( SV17 @ SV6 @ SV8 ) )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : ~ ( SV17 @ SV15 @ SV16 ) ))]]) ).
thf(82,plain,
! [SV8: $i,SV6: $i] :
( ( ( ( SV6 != SV8 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV2,$thf( ^ [SY24: $i] : ^ [SY25: $i] : ( SY24 != SY25 ) ))]]) ).
thf(83,plain,
! [SV8: $i,SV6: $i] :
( ( ( ( SV6 = SV8 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV2,$thf( ^ [SV14: $i] : ^ [SV13: $i] : ( SV14 = SV13 ) ))]]) ).
thf(85,plain,
! [SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV3,$thf( ^ [SV27: $i] : ^ [SV28: $i] : $false ))]]) ).
thf(86,plain,
! [SV26: $i > $i > $o,SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( ~ ( SV26 @ SV11 @ SV9 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV26 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV3,$thf( ^ [SV24: $i] : ^ [SV25: $i] : ~ ( SV26 @ SV24 @ SV25 ) ))]]) ).
thf(87,plain,
! [SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( SV11 != SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV3,$thf( ^ [SY35: $i] : ^ [SY36: $i] : ( SY35 != SY36 ) ))]]) ).
thf(88,plain,
! [SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( SV11 = SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV3,$thf( ^ [SV23: $i] : ^ [SV22: $i] : ( SV23 = SV22 ) ))]]) ).
thf(89,plain,
! [SV9: $i,SV11: $i,SV3: $i > $i > $o] :
( ( $true = $false )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV4,$thf( ^ [SV38: $i] : ^ [SV39: $i] : $true ))]]) ).
thf(91,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i,SV35: $i > $i > $o] :
( ( ( ~ ( SV35 @ SV9 @ SV11 ) )
= $false )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV4,$thf( ^ [SV33: $i] : ^ [SV34: $i] : ~ ( SV35 @ SV33 @ SV34 ) ))]]) ).
thf(92,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i] :
( ( ( SV9 != SV11 )
= $false )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV4,$thf( ^ [SY46: $i] : ^ [SY47: $i] : ( SY46 != SY47 ) ))]]) ).
thf(93,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i] :
( ( ( SV9 = SV11 )
= $false )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[57:[bind(SV4,$thf( ^ [SV32: $i] : ^ [SV31: $i] : ( SV32 = SV31 ) ))]]) ).
thf(94,plain,
! [SV12: $i,SV10: $i,SV4: $i > $i > $o] :
( ( $true = $false )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV3,$thf( ^ [SV29: $i] : ^ [SV30: $i] : $true ))]]) ).
thf(96,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i,SV26: $i > $i > $o] :
( ( ( ~ ( SV26 @ SV12 @ SV10 ) )
= $false )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV26 @ SX0 @ SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV3,$thf( ^ [SV24: $i] : ^ [SV25: $i] : ~ ( SV26 @ SV24 @ SV25 ) ))]]) ).
thf(97,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i] :
( ( ( SV12 != SV10 )
= $false )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV3,$thf( ^ [SY35: $i] : ^ [SY36: $i] : ( SY35 != SY36 ) ))]]) ).
thf(98,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i] :
( ( ( SV12 = SV10 )
= $false )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV3,$thf( ^ [SV23: $i] : ^ [SV22: $i] : ( SV23 = SV22 ) ))]]) ).
thf(100,plain,
! [SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( $false = $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV4,$thf( ^ [SV36: $i] : ^ [SV37: $i] : $false ))]]) ).
thf(101,plain,
! [SV35: $i > $i > $o,SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( ~ ( SV35 @ SV10 @ SV12 ) )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV4,$thf( ^ [SV33: $i] : ^ [SV34: $i] : ~ ( SV35 @ SV33 @ SV34 ) ))]]) ).
thf(102,plain,
! [SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( SV10 != SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV4,$thf( ^ [SY46: $i] : ^ [SY47: $i] : ( SY46 != SY47 ) ))]]) ).
thf(103,plain,
! [SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( SV10 = SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV4,$thf( ^ [SV32: $i] : ^ [SV31: $i] : ( SV32 = SV31 ) ))]]) ).
thf(115,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SV18: $i] : ^ [SV19: $i] : $false ))]]) ).
thf(116,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ SV6 @ SV8 ) )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SV15: $i] : ^ [SV16: $i] : ~ ( SV17 @ SV15 @ SV16 ) ))]]) ).
thf(117,plain,
! [SV8: $i,SV6: $i] :
( ( ( SV6 != SV8 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SY24: $i] : ^ [SY25: $i] : ( SY24 != SY25 ) ))]]) ).
thf(118,plain,
! [SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(prim_subst,[status(thm)],[67:[bind(SV2,$thf( ^ [SV14: $i] : ^ [SV13: $i] : ( SV14 = SV13 ) ))]]) ).
thf(124,plain,
! [SV2: $i > $i > $o,SV40: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV2 @ SV40 )
= ( ^ [Y: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[34]) ).
thf(125,plain,
! [SV6: $i,SV2: $i > $i > $o,SV41: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV2 @ SV6 @ SV41 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[39]) ).
thf(126,plain,
! [SV6: $i,SV2: $i > $i > $o,SV41: $i] :
( ( ( SV2 @ SV6 @ SV41 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[125]) ).
thf(128,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV6 @ SV8 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(130,plain,
! [SV40: $i,SV2: $i > $i > $o] :
( ( ( ! [SV42: $i] :
( ( SV2 @ SV40 @ SV42 )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 )
= ( ^ [Y: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(132,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV43 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV40 @ SV43 )
| $true )
| ~ ( ~ ( SV2 @ SV40 @ SV43 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[132]) ).
thf(134,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV43 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV40 @ SV43 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV43 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(136,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV40 @ SV43 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV43 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV2 @ SV40 @ SV43 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(140,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV40 @ SV43 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(143,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV40 @ SV43 ) )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(147,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV40 @ SV43 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(149,plain,
! [SV40: $i,SV2: $i > $i > $o,SV44: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV2 @ SV40 @ SV44 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV40 @ SV43 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV40: $i,SV2: $i > $i > $o,SV44: $i] :
( ( ( SV2 @ SV40 @ SV44 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(155,plain,
! [SV46: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false )
| ( ( ( ^ [SX1: $i] : $false )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[70]) ).
thf(156,plain,
! [SV17: $i > $i > $o,SV47: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( ^ [SY63: $i] :
~ ( SV17 @ SV47 @ SY63 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(157,plain,
! [SV48: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( ( ( ^ [SY65: $i] : ( SV48 != SY65 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[72]) ).
thf(158,plain,
! [SV49: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( ( ^ [SY67: $i] : ( SV49 = SY67 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[73]) ).
thf(160,plain,
! [SV51: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[75]) ).
thf(161,plain,
! [SV6: $i,SV17: $i > $i > $o,SV52: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( ~ ( SV17 @ SV6 @ SV52 ) )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[76]) ).
thf(162,plain,
! [SV6: $i,SV53: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV6 != SV53 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[77]) ).
thf(163,plain,
! [SV6: $i,SV54: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV6 = SV54 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[78]) ).
thf(166,plain,
! [SV51: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(168,plain,
! [SV6: $i,SV17: $i > $i > $o,SV52: $i] :
( ( ( ~ ( SV17 @ SV6 @ SV52 ) )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(170,plain,
! [SV6: $i,SV53: $i] :
( ( ( SV6 != SV53 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[162]) ).
thf(172,plain,
! [SV6: $i,SV54: $i] :
( ( ( SV6 = SV54 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[163]) ).
thf(176,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[80]) ).
thf(178,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV17 @ SV6 @ SV8 ) )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[81]) ).
thf(180,plain,
! [SV8: $i,SV6: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( ( SV6 != SV8 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[82]) ).
thf(182,plain,
! [SV8: $i,SV6: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( SV6 = SV8 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[83]) ).
thf(186,plain,
( ( ( ! [SV56: $i] : ( $false = $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(188,plain,
! [SV47: $i,SV17: $i > $i > $o] :
( ( ( ! [SV57: $i] :
( ( ~ ( SV17 @ SV47 @ SV57 ) )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(189,plain,
! [SV47: $i,SV17: $i > $i > $o] :
( ( ( ( ^ [SY63: $i] :
~ ( SV17 @ SV47 @ SY63 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(190,plain,
! [SV48: $i] :
( ( ( ! [SV58: $i] :
( ( SV48 != SV58 )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[157]) ).
thf(191,plain,
! [SV48: $i] :
( ( ( ( ^ [SY65: $i] : ( SV48 != SY65 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[157]) ).
thf(192,plain,
! [SV49: $i] :
( ( ( ! [SV59: $i] :
( ( SV49 = SV59 )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(193,plain,
! [SV49: $i] :
( ( ( ( ^ [SY67: $i] : ( SV49 = SY67 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(195,plain,
! [SV52: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV52 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(197,plain,
! [SV53: $i,SV6: $i] :
( ( ( SV6 = SV53 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(199,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV8 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(201,plain,
! [SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(202,plain,
! [SV4: $i > $i > $o,SV9: $i,SV11: $i,SV26: $i > $i > $o] :
( ( ( SV26 @ SV11 @ SV9 )
= $false )
| ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV26 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(203,plain,
! [SV4: $i > $i > $o,SV9: $i,SV11: $i] :
( ( ( SV11 = SV9 )
= $false )
| ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(204,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ SV9 @ SV11 )
= $true )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(205,plain,
! [SV3: $i > $i > $o,SV11: $i,SV9: $i] :
( ( ( SV9 = SV11 )
= $true )
| ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(206,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i,SV26: $i > $i > $o] :
( ( ( SV26 @ SV12 @ SV10 )
= $true )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] :
~ ( SV26 @ SX0 @ SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(207,plain,
! [SV4: $i > $i > $o,SV10: $i,SV12: $i] :
( ( ( SV12 = SV10 )
= $true )
| ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(208,plain,
! [SV3: $i > $i > $o,SV12: $i,SV10: $i,SV35: $i > $i > $o] :
( ( ( SV35 @ SV10 @ SV12 )
= $false )
| ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] :
~ ( SV35 @ SX0 @ SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(209,plain,
! [SV3: $i > $i > $o,SV12: $i,SV10: $i] :
( ( ( SV10 = SV12 )
= $false )
| ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(214,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV8 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(215,plain,
! [SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(217,plain,
( ( ( $false = $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(218,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ( ~ ( SV17 @ SV47 @ SV62 ) )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(219,plain,
! [SV63: $i,SV48: $i] :
( ( ( ( SV48 != SV63 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(220,plain,
! [SV64: $i,SV49: $i] :
( ( ( ( SV49 = SV64 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(225,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ( SV17 @ SV47 @ SV62 )
| $true )
| ~ ( ~ ~ ( SV17 @ SV47 @ SV62 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ( ~ ( SV17 @ SV47 @ SV62 ) )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV63: $i,SV48: $i] :
( ( ( ~ ( ( SV48 != SV63 )
| $true )
| ~ ( ~ ( ( SV48 != SV63 ) )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(230,plain,
! [SV63: $i,SV48: $i] :
( ( ( ( SV48 != SV63 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(231,plain,
! [SV64: $i,SV49: $i] :
( ( ( ~ ( ( SV49 = SV64 )
| $true )
| ~ ( ( SV49 != SV64 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[220]) ).
thf(232,plain,
! [SV64: $i,SV49: $i] :
( ( ( ( SV49 = SV64 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[220]) ).
thf(234,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ( ~ ( SV17 @ SV47 @ SV62 )
| $true ) )
= $true )
| ( ( ~ ( ~ ~ ( SV17 @ SV47 @ SV62 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV63: $i,SV48: $i] :
( ( ( ~ ( ( SV48 != SV63 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( ( SV48 != SV63 ) )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(237,plain,
! [SV64: $i,SV49: $i] :
( ( ( ~ ( ( SV49 = SV64 )
| $true ) )
= $true )
| ( ( ~ ( ( SV49 != SV64 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(239,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(240,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ SV47 @ SV62 )
| $true )
= $false )
| ( ( ~ ( ~ ~ ( SV17 @ SV47 @ SV62 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(241,plain,
! [SV63: $i,SV48: $i] :
( ( ( ( SV48 != SV63 )
| $true )
= $false )
| ( ( ~ ( ~ ( ( SV48 != SV63 ) )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(242,plain,
! [SV64: $i,SV49: $i] :
( ( ( ( SV49 = SV64 )
| $true )
= $false )
| ( ( ~ ( ( SV49 != SV64 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(246,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(248,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ~ ( SV17 @ SV47 @ SV62 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(250,plain,
! [SV63: $i,SV48: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( ( SV48 != SV63 ) )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(252,plain,
! [SV64: $i,SV49: $i] :
( ( $true = $false )
| ( ( ~ ( ( SV49 != SV64 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(256,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(258,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ SV47 @ SV62 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(260,plain,
! [SV63: $i,SV48: $i] :
( ( ( ~ ( ( SV48 != SV63 ) )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(262,plain,
! [SV64: $i,SV49: $i] :
( ( ( ( SV49 != SV64 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(269,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(272,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ~ ( SV17 @ SV47 @ SV62 ) )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(275,plain,
! [SV63: $i,SV48: $i] :
( ( ( ~ ( ( SV48 != SV63 ) ) )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(279,plain,
! [SV64: $i,SV49: $i] :
( ( ( SV49 != SV64 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(287,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(291,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( ~ ( SV17 @ SV47 @ SV62 ) )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(295,plain,
! [SV63: $i,SV48: $i] :
( ( ( SV48 != SV63 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(299,plain,
! [SV64: $i,SV49: $i] :
( ( ( SV49 = SV64 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(303,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV62 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(306,plain,
! [SV63: $i,SV48: $i] :
( ( ( SV48 = SV63 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(311,plain,
! [SV47: $i,SV17: $i > $i > $o,SV67: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ( ~ ( SV17 @ SV47 @ SV67 ) )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[189]) ).
thf(312,plain,
! [SV48: $i,SV68: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV48 != SV68 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[191]) ).
thf(313,plain,
! [SV49: $i,SV69: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( ( SV49 = SV69 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[193]) ).
thf(322,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( ~ ( SV17 @ SV47 @ SV62 ) )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[228]) ).
thf(324,plain,
! [SV47: $i,SV17: $i > $i > $o,SV67: $i] :
( ( ( ~ ( SV17 @ SV47 @ SV67 ) )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[311]) ).
thf(326,plain,
! [SV63: $i,SV48: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( ( SV48 != SV63 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[230]) ).
thf(328,plain,
! [SV48: $i,SV68: $i] :
( ( ( SV48 != SV68 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[312]) ).
thf(330,plain,
! [SV64: $i,SV49: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( SV49 = SV64 )
= $true )
| ( $true = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[232]) ).
thf(332,plain,
! [SV49: $i,SV69: $i] :
( ( ( SV49 = SV69 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[313]) ).
thf(335,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV62 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(337,plain,
! [SV67: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV67 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(339,plain,
! [SV63: $i,SV48: $i] :
( ( ( SV48 = SV63 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(341,plain,
! [SV68: $i,SV48: $i] :
( ( ( SV48 = SV68 )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(343,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[306:[bind(SV48,$thf( SV63 ))]]) ).
thf(344,plain,
( ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[339:[bind(SV48,$thf( SV63 ))]]) ).
thf(345,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[341:[bind(SV48,$thf( SV68 ))]]) ).
thf(350,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV6,$thf( SV53 ))]]) ).
thf(352,plain,
( ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV6,$thf( SV8 ))]]) ).
thf(354,plain,
! [SV9: $i,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= $false )
| ( ( SV4 @ SV9 @ SV9 )
= $false ) ),
inference(extuni,[status(esa)],[203:[bind(SV11,$thf( SV9 ))]]) ).
thf(355,plain,
! [SV11: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 )
@ SV3 )
= $false )
| ( ( SV3 @ SV11 @ SV11 )
= $true ) ),
inference(extuni,[status(esa)],[93:[bind(SV9,$thf( SV11 ))]]) ).
thf(356,plain,
! [SV10: $i,SV4: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= $false )
| ( ( SV4 @ SV10 @ SV10 )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV12,$thf( SV10 ))]]) ).
thf(357,plain,
! [SV12: $i,SV3: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 )
@ SV3 )
= $false )
| ( ( SV3 @ SV12 @ SV12 )
= $false ) ),
inference(extuni,[status(esa)],[209:[bind(SV10,$thf( SV12 ))]]) ).
thf(361,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[215:[bind(SV6,$thf( SV8 ))]]) ).
thf(362,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV8 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[67]) ).
thf(363,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV40 @ SV43 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[147]) ).
thf(364,plain,
! [SV43: $i,SV40: $i,SV2: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV40 @ SV43 )
= $true ) ),
inference(sim,[status(thm)],[150]) ).
thf(365,plain,
! [SV40: $i,SV2: $i > $i > $o,SV44: $i] :
( ( ( SV2 @ SV40 @ SV44 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[152]) ).
thf(366,plain,
! [SV6: $i,SV2: $i > $i > $o,SV41: $i] :
( ( ( SV2 @ SV6 @ SV41 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[126]) ).
thf(367,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( SV2 @ SV6 @ SV8 )
= $true ) ),
inference(sim,[status(thm)],[128]) ).
thf(368,plain,
! [SV8: $i,SV6: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV6 @ SV8 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV2 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[67]) ).
thf(369,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ),
inference(sim,[status(thm)],[287]) ).
thf(372,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV62 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[303]) ).
thf(373,plain,
! [SV62: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV62 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[335]) ).
thf(374,plain,
! [SV67: $i,SV47: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV47 @ SV67 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[337]) ).
thf(375,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[343]) ).
thf(376,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[344]) ).
thf(377,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[345]) ).
thf(378,plain,
! [SV64: $i,SV49: $i] :
( ( ( SV49 = SV64 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[299]) ).
thf(379,plain,
! [SV64: $i,SV49: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( SV49 = SV64 )
= $true ) ),
inference(sim,[status(thm)],[330]) ).
thf(380,plain,
! [SV49: $i,SV69: $i] :
( ( ( SV49 = SV69 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[332]) ).
thf(381,plain,
! [SV51: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ),
inference(sim,[status(thm)],[166]) ).
thf(382,plain,
! [SV52: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV52 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[195]) ).
thf(383,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[350]) ).
thf(384,plain,
! [SV6: $i,SV54: $i] :
( ( ( SV6 = SV54 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[172]) ).
thf(385,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ),
inference(sim,[status(thm)],[176]) ).
thf(386,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV8 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[199]) ).
thf(387,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[352]) ).
thf(388,plain,
! [SV8: $i,SV6: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false )
| ( ( SV6 = SV8 )
= $true ) ),
inference(sim,[status(thm)],[182]) ).
thf(389,plain,
! [SV11: $i,SV9: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV9 @ SV11 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $false )
= $false ) ),
inference(sim,[status(thm)],[85]) ).
thf(390,plain,
! [SV9: $i,SV11: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV11 @ SV9 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $true
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[89]) ).
thf(391,plain,
! [SV12: $i,SV10: $i,SV4: $i > $i > $o] :
( ( ( SV4 @ SV10 @ SV12 )
= $true )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ SV4
@ ^ [SX0: $i,SX1: $i] : $true )
= $false ) ),
inference(sim,[status(thm)],[94]) ).
thf(392,plain,
! [SV10: $i,SV12: $i,SV3: $i > $i > $o] :
( ( ( SV3 @ SV12 @ SV10 )
= $false )
| ( ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [SX0: $i,SX1: $i] : $false
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[100]) ).
thf(393,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= $false ),
inference(sim,[status(thm)],[115]) ).
thf(394,plain,
! [SV8: $i,SV6: $i,SV17: $i > $i > $o] :
( ( ( SV17 @ SV6 @ SV8 )
= $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( SV17 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[214]) ).
thf(395,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= $false ),
inference(sim,[status(thm)],[361]) ).
thf(396,plain,
! [SV8: $i,SV6: $i] :
( ( ( SV6 = SV8 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i = lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[118]) ).
thf(397,plain,
! [SV70: $i] :
( ( holdsDuring_THFTYPE_IiooI @ SV70 @ $true )
= $true ),
inference(rename,[status(thm)],[25]) ).
thf(401,plain,
! [SV71: $i > $i > $o] :
( ( ( SV71
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(rename,[status(thm)],[34]) ).
thf(406,plain,
! [SV71: $i > $i > $o] :
( ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) )
= $false )
| ( ( SV71
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ) ),
inference(res,[status(thm)],[401,22]) ).
thf(408,plain,
! [SV71: $i > $i > $o] :
( ( ( ! [SV72: $i] :
( ( SV71 @ SV72 )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[401]) ).
thf(409,plain,
! [SV71: $i > $i > $o] :
( ( ( SV71
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[401]) ).
thf(410,plain,
! [SV73: $i,SV71: $i > $i > $o] :
( ( ( ( SV71 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(411,plain,
! [SV73: $i,SV71: $i > $i > $o] :
( ( ( ! [SV74: $i] :
( ( SV71 @ SV73 @ SV74 )
= $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[410]) ).
thf(412,plain,
! [SV73: $i,SV71: $i > $i > $o] :
( ( ( ( SV71 @ SV73 )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[410]) ).
thf(413,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ( SV71 @ SV73 @ SV75 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(414,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ~ ( ( SV71 @ SV73 @ SV75 )
| $true )
| ~ ( ~ ( SV71 @ SV73 @ SV75 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(415,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ( SV71 @ SV73 @ SV75 )
= $true )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(416,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ~ ( ( SV71 @ SV73 @ SV75 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV71 @ SV73 @ SV75 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(417,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ( SV71 @ SV73 @ SV75 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV71 @ SV73 @ SV75 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(419,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV71 @ SV73 @ SV75 )
| ~ $true ) )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(421,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ~ ( SV71 @ SV73 @ SV75 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(424,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( ~ ( SV71 @ SV73 @ SV75 ) )
= $false )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(428,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( SV71 @ SV73 @ SV75 )
= $true )
| ( $true = $false )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(430,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) ))]]) ).
thf(431,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX0 ) ))]]) ).
thf(432,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) ))]]) ).
thf(433,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX1 ) ))]]) ).
thf(434,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX0 ) ))]]) ).
thf(435,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ lChris_THFTYPE_i ) ))]]) ).
thf(436,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) ))]]) ).
thf(437,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX0 ) ))]]) ).
thf(438,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ))]]) ).
thf(439,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) ))]]) ).
thf(440,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV71,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) ))]]) ).
thf(442,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ! [SV102: $i] :
( ( ^ [SY82: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV102 @ SY82 ) @ ( SV81 @ SV102 @ SY82 ) ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[440]) ).
thf(443,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[440]) ).
thf(444,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ! [SV103: $i] :
( ( ^ [SY84: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV103 @ SY84 ) @ ( SV81 @ SV103 @ SY84 ) ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(445,plain,
! [SV81: $i > $i > $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SX0 @ SX1 ) @ ( SV81 @ SX0 @ SX1 ) ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[439]) ).
thf(446,plain,
( ( ! [SV104: $i] :
( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(447,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[438]) ).
thf(448,plain,
( ( ! [SV105: $i] :
( ( ^ [SY88: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV105 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[437]) ).
thf(449,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[437]) ).
thf(450,plain,
( ( ( ! [SV106: $i] :
( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(451,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[436]) ).
thf(452,plain,
( ( ( ! [SV107: $i] :
( ( ^ [SY92: $i] : ( wife_THFTYPE_IiioI @ SV107 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(453,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[435]) ).
thf(454,plain,
( ( ( ! [SV108: $i] :
( ( ^ [SY94: $i] : ( wife_THFTYPE_IiioI @ SV108 @ SV108 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(455,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(456,plain,
( ( ( ! [SV109: $i] :
( ( ^ [SY96: $i] : ( wife_THFTYPE_IiioI @ SV109 @ SY96 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(457,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX0 @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[433]) ).
thf(458,plain,
( ( ! [SV110: $i] :
( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(459,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[432]) ).
thf(460,plain,
( ( ! [SV111: $i] :
( ( ^ [SY100: $i] : ( wife_THFTYPE_IiioI @ SY100 @ SV111 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(461,plain,
( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX0 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(462,plain,
( ( ( ! [SV112: $i] :
( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) )
= ( ^ [SX1: $i] : $true ) ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(463,plain,
( ( ( ( ^ [SX0: $i,SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) )
= ( ^ [SX0: $i,SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(466,plain,
! [SV81: $i > $i > $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SY106: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SY106 ) @ ( SV81 @ SV114 @ SY106 ) ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(467,plain,
! [SV81: $i > $i > $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SY108: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SY108 ) @ ( SV81 @ SV115 @ SY108 ) ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(468,plain,
( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(469,plain,
! [SV117: $i] :
( ( ( ^ [SY112: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(470,plain,
( ( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV119: $i] :
( ( ( ( ^ [SY116: $i] : ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(472,plain,
! [SV120: $i] :
( ( ( ( ^ [SY118: $i] : ( wife_THFTYPE_IiioI @ SV120 @ SV120 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(473,plain,
! [SV121: $i] :
( ( ( ( ^ [SY120: $i] : ( wife_THFTYPE_IiioI @ SV121 @ SY120 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(474,plain,
( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(475,plain,
! [SV123: $i] :
( ( ( ^ [SY124: $i] : ( wife_THFTYPE_IiioI @ SY124 @ SV123 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(476,plain,
( ( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(478,plain,
! [SV81: $i > $i > $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ! [SV126: $i] :
( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV126 ) @ ( SV81 @ SV114 @ SV126 ) )
= $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[466]) ).
thf(479,plain,
! [SV81: $i > $i > $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SY106: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SY106 ) @ ( SV81 @ SV114 @ SY106 ) ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[466]) ).
thf(480,plain,
! [SV81: $i > $i > $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ! [SV127: $i] :
( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV127 ) @ ( SV81 @ SV115 @ SV127 ) )
= $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(481,plain,
! [SV81: $i > $i > $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ( ^ [SY108: $i] : ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SY108 ) @ ( SV81 @ SV115 @ SY108 ) ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[467]) ).
thf(482,plain,
( ( ! [SV128: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[468]) ).
thf(483,plain,
( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[468]) ).
thf(484,plain,
! [SV117: $i] :
( ( ! [SV129: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(485,plain,
! [SV117: $i] :
( ( ( ^ [SY112: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[469]) ).
thf(486,plain,
( ( ( ! [SV130: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV130 )
= $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(487,plain,
( ( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SX1 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(488,plain,
! [SV119: $i] :
( ( ( ! [SV131: $i] :
( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
= $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(489,plain,
! [SV119: $i] :
( ( ( ( ^ [SY116: $i] : ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(490,plain,
! [SV120: $i] :
( ( ( ! [SV132: $i] :
( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
= $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[472]) ).
thf(491,plain,
! [SV120: $i] :
( ( ( ( ^ [SY118: $i] : ( wife_THFTYPE_IiioI @ SV120 @ SV120 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[472]) ).
thf(492,plain,
! [SV121: $i] :
( ( ( ! [SV133: $i] :
( ( wife_THFTYPE_IiioI @ SV121 @ SV133 )
= $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(493,plain,
! [SV121: $i] :
( ( ( ( ^ [SY120: $i] : ( wife_THFTYPE_IiioI @ SV121 @ SY120 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(494,plain,
( ( ! [SV134: $i] :
( ( wife_THFTYPE_IiioI @ SV134 @ lChris_THFTYPE_i )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(495,plain,
( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ lChris_THFTYPE_i ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[474]) ).
thf(496,plain,
! [SV123: $i] :
( ( ! [SV135: $i] :
( ( wife_THFTYPE_IiioI @ SV135 @ SV123 )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[475]) ).
thf(497,plain,
! [SV123: $i] :
( ( ( ^ [SY124: $i] : ( wife_THFTYPE_IiioI @ SY124 @ SV123 ) )
= ( ^ [SX1: $i] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[475]) ).
thf(498,plain,
( ( ( ! [SV136: $i] :
( ( wife_THFTYPE_IiioI @ SV136 @ SV136 )
= $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(499,plain,
( ( ( ( ^ [SX1: $i] : ( wife_THFTYPE_IiioI @ SX1 @ SX1 ) )
= ( ^ [SX1: $i] : $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(502,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
= $true )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(503,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
= $true )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(504,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(505,plain,
! [SV117: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(506,plain,
! [SV142: $i] :
( ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(507,plain,
! [SV119: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
= $true )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(508,plain,
! [SV120: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
= $true )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(509,plain,
! [SV145: $i,SV121: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(510,plain,
! [SV146: $i] :
( ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(511,plain,
! [SV123: $i,SV147: $i] :
( ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(512,plain,
! [SV148: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(514,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(515,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
= $true )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[502]) ).
thf(516,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(517,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
= $true )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[503]) ).
thf(518,plain,
( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(519,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[504]) ).
thf(520,plain,
! [SV117: $i] :
( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(521,plain,
! [SV117: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[505]) ).
thf(522,plain,
! [SV142: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(523,plain,
! [SV142: $i] :
( ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(524,plain,
! [SV119: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(525,plain,
! [SV119: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
= $true )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[507]) ).
thf(526,plain,
! [SV120: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[508]) ).
thf(527,plain,
! [SV120: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
= $true )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[508]) ).
thf(528,plain,
! [SV145: $i,SV121: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[509]) ).
thf(529,plain,
! [SV145: $i,SV121: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[509]) ).
thf(530,plain,
! [SV146: $i] :
( ( ~ ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[510]) ).
thf(531,plain,
! [SV146: $i] :
( ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[510]) ).
thf(532,plain,
! [SV123: $i,SV147: $i] :
( ( ~ ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(533,plain,
! [SV123: $i,SV147: $i] :
( ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(534,plain,
! [SV148: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| $true )
| ~ ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(535,plain,
! [SV148: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
= $true )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(538,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(539,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(540,plain,
( ( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(541,plain,
! [SV117: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(542,plain,
! [SV142: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(543,plain,
! [SV119: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(544,plain,
! [SV120: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(545,plain,
! [SV145: $i,SV121: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(546,plain,
! [SV146: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(547,plain,
! [SV123: $i,SV147: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(548,plain,
! [SV148: $i] :
( ( ( ~ ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(550,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(551,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(552,plain,
( ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(553,plain,
! [SV117: $i] :
( ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(554,plain,
! [SV142: $i] :
( ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(555,plain,
! [SV119: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(556,plain,
! [SV120: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(557,plain,
! [SV145: $i,SV121: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(558,plain,
! [SV146: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(559,plain,
! [SV123: $i,SV147: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(560,plain,
! [SV148: $i] :
( ( ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| $true )
= $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(563,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(565,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| ~ $true ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(567,plain,
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[552]) ).
thf(569,plain,
! [SV117: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(571,plain,
! [SV142: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(573,plain,
! [SV119: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(575,plain,
! [SV120: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| ~ $true ) )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(577,plain,
! [SV145: $i,SV121: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(579,plain,
! [SV146: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(581,plain,
! [SV123: $i,SV147: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(583,plain,
! [SV148: $i] :
( ( $true = $false )
| ( ( ~ ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| ~ $true ) )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(587,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(589,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(591,plain,
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(593,plain,
! [SV117: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(595,plain,
! [SV142: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(597,plain,
! [SV119: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(599,plain,
! [SV120: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(601,plain,
! [SV145: $i,SV121: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(603,plain,
! [SV146: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(605,plain,
! [SV123: $i,SV147: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(607,plain,
! [SV148: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(612,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) ) )
= $false )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(616,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) ) )
= $false )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(620,plain,
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(624,plain,
! [SV117: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(628,plain,
! [SV142: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 ) )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(632,plain,
! [SV119: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i ) )
= $false )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(636,plain,
! [SV120: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV120 @ SV120 ) )
= $false )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(640,plain,
! [SV145: $i,SV121: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV121 @ SV145 ) )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(644,plain,
! [SV146: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(648,plain,
! [SV123: $i,SV147: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV147 @ SV123 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(652,plain,
! [SV148: $i] :
( ( ( ~ ( wife_THFTYPE_IiioI @ SV148 @ SV148 ) )
= $false )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(660,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
= $true )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(664,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
= $true )
| ( $true = $false )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(668,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(672,plain,
! [SV117: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(676,plain,
! [SV142: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
= $true )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(680,plain,
! [SV119: $i] :
( ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
= $true )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(684,plain,
! [SV120: $i] :
( ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
= $true )
| ( $true = $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(688,plain,
! [SV145: $i,SV121: $i] :
( ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
= $true )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(692,plain,
! [SV146: $i] :
( ( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(696,plain,
! [SV123: $i,SV147: $i] :
( ( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(700,plain,
! [SV148: $i] :
( ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
= $true )
| ( $true = $false )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(706,plain,
! [SV81: $i > $i > $i,SV138: $i,SV114: $i,SV80: $i > $i > $i] :
( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV114 @ SV138 ) @ ( SV81 @ SV114 @ SV138 ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[660]) ).
thf(707,plain,
! [SV81: $i > $i > $i,SV139: $i,SV115: $i,SV80: $i > $i > $i] :
( ( ( wife_THFTYPE_IiioI @ ( SV80 @ SV115 @ SV139 ) @ ( SV81 @ SV115 @ SV139 ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ ( SV80 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) @ ( SV81 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(sim,[status(thm)],[664]) ).
thf(708,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(sim,[status(thm)],[668]) ).
thf(709,plain,
! [SV117: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV117 )
= $true ),
inference(sim,[status(thm)],[672]) ).
thf(710,plain,
! [SV142: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ SV142 )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[676]) ).
thf(711,plain,
! [SV119: $i] :
( ( ( wife_THFTYPE_IiioI @ SV119 @ lChris_THFTYPE_i )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[680]) ).
thf(712,plain,
! [SV120: $i] :
( ( ( wife_THFTYPE_IiioI @ SV120 @ SV120 )
= $true )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[684]) ).
thf(713,plain,
! [SV145: $i,SV121: $i] :
( ( ( wife_THFTYPE_IiioI @ SV121 @ SV145 )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false )
| ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[688]) ).
thf(714,plain,
! [SV146: $i] :
( ( wife_THFTYPE_IiioI @ SV146 @ lChris_THFTYPE_i )
= $true ),
inference(sim,[status(thm)],[692]) ).
thf(715,plain,
! [SV123: $i,SV147: $i] :
( ( wife_THFTYPE_IiioI @ SV147 @ SV123 )
= $true ),
inference(sim,[status(thm)],[696]) ).
thf(716,plain,
! [SV148: $i] :
( ( ( wife_THFTYPE_IiioI @ SV148 @ SV148 )
= $true )
| ( ( lCorina_THFTYPE_i = lChris_THFTYPE_i )
= $false ) ),
inference(sim,[status(thm)],[700]) ).
thf(717,plain,
! [SV75: $i,SV73: $i,SV71: $i > $i > $o] :
( ( ( SV71 @ SV73 @ SV75 )
= $true )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( SV71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
= $false ) ),
inference(sim,[status(thm)],[428]) ).
thf(720,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[369,22]) ).
thf(722,plain,
( ( $false = $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[720]) ).
thf(726,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(sim,[status(thm)],[722]) ).
thf(729,plain,
! [SV70: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ SV70 @ $true ) )
= $false ),
inference(res,[status(thm)],[375,397]) ).
thf(730,plain,
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( lChris_THFTYPE_i != lCorina_THFTYPE_i ) )
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) )
= $false ),
inference(res,[status(thm)],[375,22]) ).
thf(732,plain,
( ( ( lChris_THFTYPE_i != lCorina_THFTYPE_i )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extuni,[status(esa)],[730]) ).
thf(733,plain,
( ( ( lChris_THFTYPE_i != lCorina_THFTYPE_i )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extuni,[status(esa)],[730]) ).
thf(735,plain,
( ( ( lChris_THFTYPE_i != lCorina_THFTYPE_i )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[729:[bind(SV70,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(736,plain,
( ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(737,plain,
( ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $false )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(738,plain,
( ( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(740,plain,
( ( lChris_THFTYPE_i = lCorina_THFTYPE_i )
= $true ),
inference(sim,[status(thm)],[738]) ).
thf(741,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,740,737,736,726,717,716,715,714,713,712,711,710,709,708,707,706,535,533,531,529,527,525,523,521,519,517,515,499,497,495,493,491,489,487,485,483,481,479,463,461,459,457,455,453,451,449,447,445,443,415,412,409,401,397,396,395,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,375,374,373,372,369,368,367,366,365,364,363,362,357,356,355,354,208,207,206,205,204,202,103,88,58,57,46,39,26,22]) ).
thf(742,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR146^3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.17 % Computer : n009.cluster.edu
% 0.14/0.17 % Model : x86_64 x86_64
% 0.14/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.17 % Memory : 8046.5625MB
% 0.14/0.17 % OS : Linux 6.8.0-71-generic
% 0.14/0.17 % CPULimit : 300
% 0.14/0.17 % WCLimit : 300
% 0.14/0.17 % DateTime : Tue Oct 6 18:55:48 UTC 2026
% 0.14/0.18 % CPUTime :
% 0.14/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.15/0.64
% 2.15/0.64 No.of.Axioms: 5
% 2.15/0.64
% 2.15/0.64 Length.of.Defs: 0
% 2.15/0.64
% 2.15/0.64 Contains.Choice.Funs: false
% 2.15/0.64 ..........
% 2.15/0.64
% 2.15/0.64 ********************************
% 2.15/0.64 * All subproblems solved! *
% 2.15/0.64 ********************************
% 2.15/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:741,loop_count:10,foatp_calls:4,translation:fof_full)
% 2.15/0.64
% 2.15/0.64 %**** Beginning of derivation protocol ****
% 2.15/0.64 % SZS output start CNFRefutation
% See solution above
% 2.15/0.65
% 2.15/0.65 %**** End of derivation protocol ****
% 2.15/0.65 %**** no. of clauses in derivation: 448 ****
% 2.15/0.65 %**** clause counter: 741 ****
% 2.15/0.65
% 2.15/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:741,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------