TSTP Solution File: CSR138^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : CSR138^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 21:37:27 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 23
% Syntax : Number of formulae : 236 ( 39 unt; 13 typ; 0 def)
% Number of atoms : 2535 (1127 equ; 0 cnn)
% Maximal formula atoms : 6 ( 11 avg)
% Number of connectives : 2548 ( 234 ~; 846 |; 12 &;1456 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 764 ( 764 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 12 con; 0-2 aty)
% Number of variables : 1262 ( 206 ^1036 !; 20 ?;1262 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_num,type,
num: $tType ).
thf(tp_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(tp_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(tp_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(tp_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(tp_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(tp_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(tp_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY11,type,
sK2_SY11: $i ).
thf(tp_sK3_X,type,
sK3_X: $i ).
thf(tp_sK4_SY12,type,
sK4_SY12: $i ).
thf(1,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).
thf(2,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(4,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(5,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(6,axiom,
? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(7,axiom,
? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(8,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(9,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(10,conjecture,
? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(11,negated_conjecture,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[10]) ).
thf(12,plain,
( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ? [X: $i,Y: $i] :
~ ( likes_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( ? [X: $i,Y: $i] :
~ ( parent_THFTYPE_IiioI @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(21,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(22,plain,
( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
( ( R @ Y @ lBill_THFTYPE_i )
& ( Q @ Y @ lAnna_THFTYPE_i )
& ( R
!= ( ^ [Z: $i,W: $i] : $true ) )
& ( Q
!= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [Q: $i > $i > $o] :
( ! [R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( Q
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(24,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK1_X @ sK2_SY11 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(25,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY12 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(26,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(27,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(28,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY12 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sK1_X @ sK2_SY11 ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(31,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(32,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(33,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(34,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [Q: $i > $i > $o] :
( ! [R: $i > $i > $o] :
( ! [Y: $i] :
( ~ ( Q @ Y @ lAnna_THFTYPE_i )
| ~ ( R @ Y @ lBill_THFTYPE_i ) )
| ( R
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( Q
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(36,plain,
( ( parent_THFTYPE_IiioI @ sK3_X @ sK4_SY12 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(37,plain,
( ( likes_THFTYPE_IiioI @ sK1_X @ sK2_SY11 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY13: $i > $i > $o] :
( ! [SY14: $i] :
( ~ ( SV1 @ SY14 @ lAnna_THFTYPE_i )
| ~ ( SY13 @ SY14 @ lBill_THFTYPE_i ) )
| ( SY13
= ( ^ [Z: $i,W: $i] : $true ) ) )
| ( SV1
= ( ^ [Z: $i,W: $i] : $true ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: $i > $i > $o] :
( ( ( ! [SY13: $i > $i > $o] :
( ! [SY14: $i] :
( ~ ( SV1 @ SY14 @ lAnna_THFTYPE_i )
| ~ ( SY13 @ SY14 @ lBill_THFTYPE_i ) )
| ( SY13
= ( ^ [Z: $i,W: $i] : $true ) ) ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SY19: $i] :
( ~ ( SV1 @ SY19 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY19 @ lBill_THFTYPE_i ) )
| ( SV2
= ( ^ [Z: $i,W: $i] : $true ) ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SY19: $i] :
( ~ ( SV1 @ SY19 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SY19 @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i )
| ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
= $true )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i ) )
= $true )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( ! [SV4: $i] :
( ( SV2 @ SV4 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV3: $i,SV1: $i > $i > $o,SV2: $i > $i > $o] :
( ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV6: $i] :
( ( SV1 @ SV6 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ! [SV7: $i] :
( ( SV2 @ SV5 @ SV7 )
= $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV3: $i,SV1: $i > $i > $o,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(54,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV10: $i] :
( ( SV1 @ SV10 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[52]) ).
thf(57,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ! [SV11: $i] :
( ( SV1 @ SV8 @ SV11 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(58,plain,
! [SV3: $i,SV2: $i > $i > $o,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV9 )
| $true )
| ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(63,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( ( SV2 @ SV5 @ SV9 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV14: $i] :
( ( SV1 @ SV14 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ! [SV15: $i] :
( ( SV1 @ SV12 @ SV15 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(67,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV8 @ SV13 )
| $true )
| ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ( SV2 @ SV5 @ SV9 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(73,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV8 @ SV13 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true ) )
= $true )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(76,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ! [SV18: $i] :
( ( SV1 @ SV16 @ SV18 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(77,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV12 @ SV17 )
| $true )
| ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[72]) ).
thf(80,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV8 @ SV13 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(84,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV12 @ SV17 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(87,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 ) )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(89,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( ~ ( SV2 @ SV5 @ SV9 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(90,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(91,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV16 @ SV19 )
| $true )
| ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[83]) ).
thf(92,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[83]) ).
thf(93,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV12 @ SV17 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(96,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $true )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(98,plain,
! [SV3: $i,SV1: $i > $i > $o,SV9: $i,SV5: $i,SV2: $i > $i > $o] :
( ( ( SV2 @ SV5 @ SV9 )
= $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(99,plain,
! [SV2: $i > $i > $o,SV3: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(100,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV16 @ SV19 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(101,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(102,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(103,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 ) )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(104,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(105,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV8 @ SV13 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(106,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(107,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV20: $i] :
( ( SV1 @ SV20 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV21: $i] :
( ( SV1 @ SV21 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV22: $i] :
( ( SV1 @ SV22 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( ! [SV23: $i] :
( ( SV1 @ SV23 )
= ( ^ [W: $i] : $true ) ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV3: $i,SV2: $i > $i > $o,SV1: $i > $i > $o] :
( ( ( SV1
= ( ^ [Z: $i,W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV16 @ SV19 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $true )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(119,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV8 @ SV13 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(120,plain,
! [SV3: $i,SV2: $i > $i > $o,SV13: $i,SV8: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV8 @ SV13 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(121,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2
= ( ^ [Z: $i,W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(122,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(123,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(127,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(128,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 ) )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(129,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(130,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV12 @ SV17 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(132,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ! [SV28: $i] :
( ( SV1 @ SV24 @ SV28 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ! [SV29: $i] :
( ( SV1 @ SV25 @ SV29 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[123]) ).
thf(136,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ! [SV30: $i] :
( ( SV1 @ SV26 @ SV30 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(138,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ! [SV31: $i] :
( ( SV1 @ SV27 @ SV31 )
= $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[125]) ).
thf(139,plain,
! [SV3: $i,SV2: $i > $i > $o,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 )
= ( ^ [W: $i] : $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[125]) ).
thf(140,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(141,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $true )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV12 @ SV17 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(144,plain,
! [SV5: $i,SV3: $i,SV2: $i > $i > $o,SV17: $i,SV12: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV12 @ SV17 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(145,plain,
! [SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 )
= ( ^ [W: $i] : $true ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(146,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(147,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(148,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(149,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(150,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 ) )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(151,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(152,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV16 @ SV19 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(153,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(154,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV24 @ SV32 )
| $true )
| ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(155,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV25 @ SV33 )
| $true )
| ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV26 @ SV34 )
| $true )
| ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[148]) ).
thf(160,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV27 @ SV35 )
| $true )
| ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
= $true )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(162,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $true )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(163,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV16 @ SV19 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(164,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV19: $i,SV16: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV16 @ SV19 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(165,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( ( SV2 @ SV5 @ SV9 )
= $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(166,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV24 @ SV32 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(167,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV25 @ SV33 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV26 @ SV34 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ SV27 @ SV35 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(170,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV24 @ SV32 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(171,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV25 @ SV33 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(172,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV26 @ SV34 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(173,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ SV27 @ SV35 )
| $true )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(175,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(176,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(177,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(178,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(179,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(180,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(181,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( $true = $false )
| ( ( ~ ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true ) )
= $true )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(182,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(186,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(189,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 )
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(190,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 ) )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(191,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(192,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV24 @ SV32 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(193,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(194,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 ) )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(195,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(196,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV25 @ SV33 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(197,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(198,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 ) )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(199,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(200,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV26 @ SV34 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(201,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(202,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 ) )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(203,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(204,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ SV27 @ SV35 ) )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(205,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( ( ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(206,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $true )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(207,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV24 @ SV32 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(208,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV32: $i,SV24: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV24 @ SV32 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(209,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(210,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $true )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(211,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV25 @ SV33 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(212,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV33: $i,SV25: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV25 @ SV33 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(213,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( ( SV2 @ SV5 @ SV9 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(214,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $true )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(215,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV26 @ SV34 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(216,plain,
! [SV9: $i,SV5: $i,SV3: $i,SV2: $i > $i > $o,SV34: $i,SV26: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV26 @ SV34 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(217,plain,
! [SV9: $i,SV5: $i,SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( ( SV2 @ SV5 @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(218,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $true )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(219,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( $true = $true )
| ( ( SV1 @ SV27 @ SV35 )
= $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(220,plain,
! [SV3: $i,SV2: $i > $i > $o,SV35: $i,SV27: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ SV27 @ SV35 )
= $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(221,plain,
! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 @ SV3 @ lBill_THFTYPE_i )
= $false )
| ( ( SV1 @ SV3 @ lAnna_THFTYPE_i )
= $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(222,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,165,164,163,162,161,159,157,155,145,144,143,142,139,137,135,133,121,120,119,118,114,112,110,108,92,79,77,69,67,65,58,56,50,37,36,34,33,32,31,30,27]) ).
thf(223,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR138^1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 11 12:28:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 9
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:9,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.43
% 0.19/0.43 ********************************
% 0.19/0.43 * All subproblems solved! *
% 0.19/0.43 ********************************
% 0.19/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:222,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.47
% 0.19/0.47 %**** Beginning of derivation protocol ****
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47
% 0.19/0.47 %**** End of derivation protocol ****
% 0.19/0.47 %**** no. of clauses in derivation: 223 ****
% 0.19/0.47 %**** clause counter: 222 ****
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:222,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------