TSTP Solution File: NUM814^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM814^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : Mon Jul 18 11:55:44 EDT 2022
% Result : Theorem 150.66s 150.81s
% Output : CNFRefutation 150.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 13
% Syntax : Number of formulae : 225 ( 35 unt; 8 typ; 4 def)
% Number of atoms : 1527 (1027 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 1597 ( 323 ~; 372 |; 15 &; 867 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 94 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 529 ( 215 ^ 309 !; 5 ?; 529 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c0,type,
c0: $i ).
thf(tp_cEVEN1,type,
cEVEN1: $i > $o ).
thf(tp_cIND,type,
cIND: $o ).
thf(tp_cODD1,type,
cODD1: $i > $o ).
thf(tp_cPEANO1,type,
cPEANO1: $o ).
thf(tp_cS,type,
cS: $i > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $o ) > $i > $i ).
thf(tp_sK2_Xx,type,
sK2_Xx: ( $i > $o ) > $i ).
thf(cEVEN1,definition,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEVEN1) ).
thf(cIND,definition,
( cIND
= ( ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cIND) ).
thf(cODD1,definition,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cODD1) ).
thf(cPEANO1,definition,
( cPEANO1
= ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) )
& cIND ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPEANO1) ).
thf(1,conjecture,
( cPEANO1
=> ? [Xn: $i] : ( cODD1 @ Xn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM404) ).
thf(2,negated_conjecture,
( ( cPEANO1
=> ? [Xn: $i] : ( cODD1 @ Xn ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 )
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) )
& ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) )
=> ? [SY170: $i] :
~ ! [SY171: $i > $o] :
( ( ( SY171 @ c0 )
& ! [Xx: $i] :
( ( SY171 @ Xx )
=> ( SY171 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY171 @ SY170 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cEVEN1,cIND,cODD1,cPEANO1]) ).
thf(4,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ? [SY170: $i] :
~ ! [SY171: $i > $o] :
( ( ( SY171 @ c0 )
& ! [Xx: $i] :
( ( SY171 @ Xx )
=> ( SY171 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY171 @ SY170 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ? [SY170: $i] :
~ ! [SY171: $i > $o] :
( ( ( SY171 @ c0 )
& ! [Xx: $i] :
( ( SY171 @ Xx )
=> ( SY171 @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( SY171 @ SY170 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY170: $i,SY171: $i > $o] :
( ( ( SY171 @ ( sK1_Xx @ SY171 @ SY170 ) )
& ~ ( SY171 @ ( cS @ ( cS @ ( sK1_Xx @ SY171 @ SY170 ) ) ) ) )
| ~ ( SY171 @ c0 )
| ( SY171 @ SY170 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
!= ( cS @ Xw ) )
| ( Xv = Xw ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [Xp: $i > $o] :
( ( ( Xp @ ( sK2_Xx @ Xp ) )
& ~ ( Xp @ ( cS @ ( sK2_Xx @ Xp ) ) ) )
| ~ ( Xp @ c0 )
| ! [Xx: $i] : ( Xp @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(13,plain,
( ( ! [Xp: $i > $o] :
( ( ( Xp @ ( sK2_Xx @ Xp ) )
& ~ ( Xp @ ( cS @ ( sK2_Xx @ Xp ) ) ) )
| ~ ( Xp @ c0 )
| ! [Xx: $i] : ( Xp @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
!= ( cS @ Xw ) )
| ( Xv = Xw ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [SY170: $i,SY171: $i > $o] :
( ( ( SY171 @ ( sK1_Xx @ SY171 @ SY170 ) )
& ~ ( SY171 @ ( cS @ ( cS @ ( sK1_Xx @ SY171 @ SY170 ) ) ) ) )
| ~ ( SY171 @ c0 )
| ( SY171 @ SY170 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( SX1 @ ( sK1_Xx @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( cS @ ( cS @ ( sK1_Xx @ SX1 @ SX0 ) ) ) ) )
| ~ ( SX1 @ c0 )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,cEVEN1,cIND,cODD1,cPEANO1]) ).
thf(18,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( SX0 @ ( sK2_Xx @ SX0 ) )
| ~ ~ ( SX0 @ ( cS @ ( sK2_Xx @ SX0 ) ) ) )
| ~ ( SX0 @ c0 )
| ! [SX1: $i] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,cEVEN1,cIND,cODD1,cPEANO1]) ).
thf(19,plain,
! [SV1: $i] :
( ( ! [SY188: $i] :
( ( ( cS @ SV1 )
!= ( cS @ SY188 ) )
| ( SV1 = SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( ( ( cS @ SV2 )
!= c0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV3: $i] :
( ( ! [SY189: $i > $o] :
( ~ ( ~ ( SY189 @ ( sK1_Xx @ SY189 @ SV3 ) )
| ~ ~ ( SY189 @ ( cS @ ( cS @ ( sK1_Xx @ SY189 @ SV3 ) ) ) ) )
| ~ ( SY189 @ c0 )
| ( SY189 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV4: $i > $o] :
( ( ~ ( ~ ( SV4 @ ( sK2_Xx @ SV4 ) )
| ~ ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) )
| ~ ( SV4 @ c0 )
| ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV5: $i,SV1: $i] :
( ( ( ( cS @ SV1 )
!= ( cS @ SV5 ) )
| ( SV1 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i] :
( ( ( cS @ SV2 )
= c0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ~ ( ~ ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
| ~ ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) )
| ~ ( SV6 @ c0 )
| ( SV6 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV4: $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK2_Xx @ SV4 ) )
| ~ ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) )
| ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV5: $i,SV1: $i] :
( ( ( ( ( cS @ SV1 )
!= ( cS @ SV5 ) ) )
= $true )
| ( ( SV1 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
| ~ ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) )
| ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i > $o] :
( ( ( ~ ( ~ ( SV4 @ ( sK2_Xx @ SV4 ) )
| ~ ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV5: $i,SV1: $i] :
( ( ( ( cS @ SV1 )
= ( cS @ SV5 ) )
= $false )
| ( ( SV1 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
| ~ ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( sK2_Xx @ SV4 ) )
| ~ ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
| ~ ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( sK2_Xx @ SV4 ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
! [SV4: $i > $o] :
( ( ( ~ ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ ( sK2_Xx @ SV4 ) )
= $true )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i > $o] :
( ( ( ~ ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) ) )
= $true )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
= $true )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ c0 )
= $false )
| ( ( SV4 @ ( sK2_Xx @ SV4 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) )
= $false )
| ( ( ~ ( SV4 @ c0 ) )
= $true )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( SV6 @ c0 )
= $false )
| ( ( SV6 @ ( sK1_Xx @ SV6 @ SV3 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ c0 ) )
= $true )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV7: $i,SV4: $i > $o] :
( ( ( SV4 @ SV7 )
= $true )
| ( ( SV4 @ ( sK2_Xx @ SV4 ) )
= $true )
| ( ( SV4 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV4: $i > $o] :
( ( ( SV4 @ c0 )
= $false )
| ( ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) )
= $false )
| ( ( ! [SY190: $i] : ( SV4 @ SY190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV3: $i,SV6: $i > $o] :
( ( ( SV6 @ c0 )
= $false )
| ( ( SV6 @ ( cS @ ( cS @ ( sK1_Xx @ SV6 @ SV3 ) ) ) )
= $false )
| ( ( SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV8: $i,SV4: $i > $o] :
( ( ( SV4 @ SV8 )
= $true )
| ( ( SV4 @ ( cS @ ( sK2_Xx @ SV4 ) ) )
= $false )
| ( ( SV4 @ c0 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[44:[bind(SV6,$thf( ^ [SV9: $i] : ( SV9 = c0 ) ))]]) ).
thf(51,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[50]) ).
thf(52,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( c0 = c0 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[46:[bind(SV4,$thf( ^ [SV10: $i] : ( SV10 = c0 ) ))]]) ).
thf(53,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[52]) ).
thf(54,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 ) ) )
= c0 )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[48:[bind(SV6,$thf( ^ [SV11: $i] : ( SV11 = c0 ) ))]]) ).
thf(55,plain,
! [SV3: $i] :
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 ) ) )
= c0 )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[54]) ).
thf(56,plain,
! [SV8: $i] :
( ( ( SV8 = c0 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) )
= c0 )
= $false )
| ( ( c0 = c0 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[49:[bind(SV4,$thf( ^ [SV12: $i] : ( SV12 = c0 ) ))]]) ).
thf(57,plain,
! [SV8: $i] :
( ( ( SV8 = c0 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) )
= c0 )
= $false ) ),
inference(sim,[status(thm)],[56]) ).
thf(60,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( ~ ( SV19 @ c0 ) )
= $false )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[44:[bind(SV6,$thf( ^ [SV18: $i] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(61,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(prim_subst,[status(thm)],[44:[bind(SV6,$thf( ^ [SV22: $i] : ( SV22 = c0 ) ))]]) ).
thf(64,plain,
! [SV7: $i,SV14: $i > $o] :
( ( ( ~ ( SV14 @ SV7 ) )
= $true )
| ( ( ~ ( SV14
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(65,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( c0 = c0 )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV17: $i] : ( SV17 = c0 ) ))]]) ).
thf(68,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( ~ ( SV19 @ c0 ) )
= $false )
| ( ( ~ ( SV19
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV6,$thf( ^ [SV18: $i] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(72,plain,
! [SV8: $i,SV14: $i > $o] :
( ( ( ~ ( SV14 @ SV8 ) )
= $true )
| ( ( ~ ( SV14
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV4,$thf( ^ [SV13: $i] : ~ ( SV14 @ SV13 ) ))]]) ).
thf(74,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= ( SV3 = c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[51]) ).
thf(75,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[53]) ).
thf(76,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
!= c0 )
| ( SV3 != c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(78,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
| ~ ( ( SV7 != c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[75]) ).
thf(79,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[75]) ).
thf(80,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(82,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(84,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(86,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(96,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ),
inference(extuni,[status(esa)],[79:[bind(SV7,$thf( sK2_Xx @ ^ [SX0: $i] : ( SX0 = c0 ) ))]]) ).
thf(98,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19 @ c0 )
= $true )
| ( ( ~ ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(99,plain,
! [SV7: $i,SV14: $i > $o] :
( ( ( SV14 @ SV7 )
= $false )
| ( ( ~ ( SV14
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(100,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19 @ c0 )
= $true )
| ( ( ~ ( SV19
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(101,plain,
! [SV8: $i,SV14: $i > $o] :
( ( ( SV14 @ SV8 )
= $false )
| ( ( ~ ( SV14
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(102,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) )
= $false )
| ( ( SV19 @ c0 )
= $true )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV7: $i,SV14: $i > $o] :
( ( ( SV14
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $false )
| ( ( SV14 @ SV7 )
= $false )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) ) )
= $true )
| ( ( SV19 @ c0 )
= $true )
| ( ( ~ ( SV19 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(105,plain,
! [SV8: $i,SV14: $i > $o] :
( ( ( SV14
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) )
= $true )
| ( ( SV14 @ SV8 )
= $false )
| ( ( ~ ( SV14 @ c0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19 @ SV3 )
= $false )
| ( ( SV19 @ c0 )
= $true )
| ( ( SV19
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV7: $i,SV14: $i > $o] :
( ( ( SV14 @ c0 )
= $true )
| ( ( SV14 @ SV7 )
= $false )
| ( ( SV14
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV3: $i,SV19: $i > $o] :
( ( ( SV19 @ SV3 )
= $false )
| ( ( SV19 @ c0 )
= $true )
| ( ( SV19
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 )
@ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV8: $i,SV14: $i > $o] :
( ( ( SV14 @ c0 )
= $true )
| ( ( SV14 @ SV8 )
= $false )
| ( ( SV14
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV14 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extuni,[status(esa)],[61]) ).
thf(111,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( SV7 = c0 )
= $true ) ),
inference(extuni,[status(esa)],[65]) ).
thf(112,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[88]) ).
thf(113,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[90]) ).
thf(114,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[44:[bind(SV6,$thf( ^ [SV23: $i] : ( SV23 = c0 ) ))]]) ).
thf(115,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[114]) ).
thf(116,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( c0 = c0 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[46:[bind(SV4,$thf( ^ [SV24: $i] : ( SV24 = c0 ) ))]]) ).
thf(117,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[116]) ).
thf(118,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 ) ) )
= c0 )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[48:[bind(SV6,$thf( ^ [SV25: $i] : ( SV25 = c0 ) ))]]) ).
thf(119,plain,
! [SV3: $i] :
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 ) ) )
= c0 )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[118]) ).
thf(120,plain,
! [SV8: $i] :
( ( ( SV8 = c0 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) )
= c0 )
= $false )
| ( ( c0 = c0 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[49:[bind(SV4,$thf( ^ [SV26: $i] : ( SV26 = c0 ) ))]]) ).
thf(121,plain,
! [SV8: $i] :
( ( ( SV8 = c0 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) ) )
= c0 )
= $false ) ),
inference(sim,[status(thm)],[120]) ).
thf(122,plain,
! [SV3: $i] :
( ( ( SV3 = SV3 )
= $false )
| ( ( c0 = SV3 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 )
= SV3 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[106:[bind(SV19,$thf( ^ [SV27: $i] : ( SV27 = SV3 ) ))]]) ).
thf(123,plain,
! [SV3: $i] :
( ( ( c0 = SV3 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 )
= SV3 )
= $false ) ),
inference(sim,[status(thm)],[122]) ).
thf(124,plain,
! [SV7: $i] :
( ( ( c0 = SV7 )
= $true )
| ( ( SV7 = SV7 )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV7 ) )
= SV7 )
= $false ) ),
inference(replace_leibnizEQ,[status(thm)],[107:[bind(SV14,$thf( ^ [SV28: $i] : ( SV28 = SV7 ) ))]]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( c0 = SV7 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV7 ) )
= SV7 )
= $false ) ),
inference(sim,[status(thm)],[124]) ).
thf(126,plain,
! [SV3: $i] :
( ( ( SV3 = SV3 )
= $false )
| ( ( c0 = SV3 )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[108:[bind(SV19,$thf( ^ [SV29: $i] : ( SV29 = SV3 ) ))]]) ).
thf(127,plain,
! [SV3: $i] :
( ( ( c0 = SV3 )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(sim,[status(thm)],[126]) ).
thf(128,plain,
! [SV8: $i] :
( ( ( c0 = SV8 )
= $true )
| ( ( SV8 = SV8 )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[109:[bind(SV14,$thf( ^ [SV30: $i] : ( SV30 = SV8 ) ))]]) ).
thf(129,plain,
! [SV8: $i] :
( ( ( c0 = SV8 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(sim,[status(thm)],[128]) ).
thf(132,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ c0 ) )
= $false )
| ( ( ~ ( SV47
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[44:[bind(SV6,$thf( ^ [SV46: $i] : ~ ( SV47 @ SV46 ) ))]]) ).
thf(133,plain,
! [SV3: $i] :
( ( ( c0 = c0 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(prim_subst,[status(thm)],[44:[bind(SV6,$thf( ^ [SV50: $i] : ( SV50 = c0 ) ))]]) ).
thf(136,plain,
! [SV7: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV7 ) )
= $true )
| ( ( ~ ( SV42
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV41: $i] : ~ ( SV42 @ SV41 ) ))]]) ).
thf(137,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( c0 = c0 )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV45: $i] : ( SV45 = c0 ) ))]]) ).
thf(140,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ c0 ) )
= $false )
| ( ( ~ ( SV47
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[48:[bind(SV6,$thf( ^ [SV46: $i] : ~ ( SV47 @ SV46 ) ))]]) ).
thf(144,plain,
! [SV8: $i,SV42: $i > $o] :
( ( ( ~ ( SV42 @ SV8 ) )
= $true )
| ( ( ~ ( SV42
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[49:[bind(SV4,$thf( ^ [SV41: $i] : ~ ( SV42 @ SV41 ) ))]]) ).
thf(148,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( ~ ( SV37 @ SV3 ) )
= $false )
| ( ( ~ ( SV37 @ c0 ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[106:[bind(SV19,$thf( ^ [SV36: $i] : ~ ( SV37 @ SV36 ) ))]]) ).
thf(152,plain,
! [SV7: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ c0 ) )
= $true )
| ( ( ~ ( SV32 @ SV7 ) )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[107:[bind(SV14,$thf( ^ [SV31: $i] : ~ ( SV32 @ SV31 ) ))]]) ).
thf(156,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( ~ ( SV37 @ SV3 ) )
= $false )
| ( ( ~ ( SV37 @ c0 ) )
= $true )
| ( ( ~ ( SV37
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[108:[bind(SV19,$thf( ^ [SV36: $i] : ~ ( SV37 @ SV36 ) ))]]) ).
thf(160,plain,
! [SV8: $i,SV32: $i > $o] :
( ( ( ~ ( SV32 @ c0 ) )
= $true )
| ( ( ~ ( SV32 @ SV8 ) )
= $false )
| ( ( ~ ( SV32
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[109:[bind(SV14,$thf( ^ [SV31: $i] : ~ ( SV32 @ SV31 ) ))]]) ).
thf(162,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= ( SV3 = c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[115]) ).
thf(163,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[117]) ).
thf(164,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= ( SV3 = c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[51]) ).
thf(165,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[53]) ).
thf(166,plain,
! [SV3: $i] :
( ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true )
| ( ( ( c0 = SV3 )
= ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[127]) ).
thf(167,plain,
! [SV8: $i] :
( ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true )
| ( ( ( c0 = SV8 )
= ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[129]) ).
thf(168,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( ( SV3 = c0 )
= ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[110]) ).
thf(169,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( SV7 = c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[111]) ).
thf(170,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= ( SV3 = c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[112]) ).
thf(171,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[113]) ).
thf(172,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
!= c0 )
| ( SV3 != c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[162]) ).
thf(174,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
| ~ ( ( SV7 != c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[163]) ).
thf(175,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[163]) ).
thf(176,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
!= c0 )
| ( SV3 != c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[164]) ).
thf(178,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
| ~ ( ( SV7 != c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[165]) ).
thf(180,plain,
! [SV3: $i] :
( ( ( ~ ( ( c0 = SV3 )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 ) )
| ~ ( ( c0 != SV3 )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
!= SV3 ) ) )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(182,plain,
! [SV8: $i] :
( ( ( ~ ( ( c0 = SV8 )
| ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 ) )
| ~ ( ( c0 != SV8 )
| ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
!= SV8 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[167]) ).
thf(184,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3 = c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 ) )
| ~ ( ( SV3 != c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
!= c0 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[168]) ).
thf(186,plain,
! [SV7: $i] :
( ( ( ~ ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( SV7 = c0 ) )
| ~ ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 )
| ( SV7 != c0 ) ) )
= $false )
| ( ( SV7 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[169]) ).
thf(187,plain,
! [SV7: $i] :
( ( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= ( SV7 = c0 ) )
= $false )
| ( ( SV7 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[169]) ).
thf(188,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
| ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
!= c0 )
| ( SV3 != c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(190,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
| ~ ( ( SV7 != c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
!= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(191,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
= ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[171]) ).
thf(192,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(194,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(196,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(198,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(200,plain,
! [SV3: $i] :
( ( ( ~ ( ( c0 = SV3 )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 ) ) )
= $false )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(202,plain,
! [SV8: $i] :
( ( ( ~ ( ( c0 = SV8 )
| ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 ) ) )
= $false )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(204,plain,
! [SV3: $i] :
( ( ( ~ ( ( SV3 = c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(206,plain,
! [SV7: $i] :
( ( ( ~ ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( SV7 = c0 ) ) )
= $false )
| ( ( SV7 = c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(208,plain,
! [SV3: $i] :
( ( ( ~ ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) ) )
= $false )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(210,plain,
! [SV7: $i] :
( ( ( ~ ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(212,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(214,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(216,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(218,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(220,plain,
! [SV3: $i] :
( ( ( ( c0 = SV3 )
| ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 ) )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(222,plain,
! [SV8: $i] :
( ( ( ( c0 = SV8 )
| ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 ) )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(224,plain,
! [SV3: $i] :
( ( ( ( SV3 = c0 )
| ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(226,plain,
! [SV7: $i] :
( ( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
| ( SV7 = c0 ) )
= $true )
| ( ( SV7 = c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(228,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
| ( SV3 = c0 ) )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(230,plain,
! [SV7: $i] :
( ( ( ( SV7 = c0 )
| ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(232,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(234,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(236,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(238,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(240,plain,
! [SV3: $i] :
( ( ( c0 = SV3 )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(242,plain,
! [SV8: $i] :
( ( ( c0 = SV8 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(244,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(246,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( SV7 = c0 )
= $true )
| ( ( SV7 = c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(248,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(250,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(272,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ),
inference(extuni,[status(esa)],[175:[bind(SV7,$thf( sK2_Xx @ ^ [SX0: $i] : ( SX0 = c0 ) ))]]) ).
thf(273,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ),
inference(extuni,[status(esa)],[179:[bind(SV7,$thf( sK2_Xx @ ^ [SX0: $i] : ( SX0 = c0 ) ))]]) ).
thf(274,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ),
inference(extuni,[status(esa)],[187:[bind(SV7,$thf( sK2_Xx @ ^ [SX0: $i] : ( SX0 = c0 ) ))]]) ).
thf(275,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ),
inference(extuni,[status(esa)],[191:[bind(SV7,$thf( sK2_Xx @ ^ [SX0: $i] : ( SX0 = c0 ) ))]]) ).
thf(277,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47 @ c0 )
= $true )
| ( ( ~ ( SV47
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) )
= $true )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(278,plain,
! [SV7: $i,SV42: $i > $o] :
( ( ( SV42 @ SV7 )
= $false )
| ( ( ~ ( SV42
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(279,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47 @ c0 )
= $true )
| ( ( ~ ( SV47
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(280,plain,
! [SV8: $i,SV42: $i > $o] :
( ( ( SV42 @ SV8 )
= $false )
| ( ( ~ ( SV42
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(281,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37 @ SV3 )
= $true )
| ( ( ~ ( SV37 @ c0 ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(282,plain,
! [SV7: $i,SV32: $i > $o] :
( ( ( SV32 @ c0 )
= $false )
| ( ( ~ ( SV32 @ SV7 ) )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(283,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37 @ SV3 )
= $true )
| ( ( ~ ( SV37 @ c0 ) )
= $true )
| ( ( ~ ( SV37
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(284,plain,
! [SV8: $i,SV32: $i > $o] :
( ( ( SV32 @ c0 )
= $false )
| ( ( ~ ( SV32 @ SV8 ) )
= $false )
| ( ( ~ ( SV32
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(285,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) )
= $false )
| ( ( SV47 @ c0 )
= $true )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(286,plain,
! [SV7: $i,SV42: $i > $o] :
( ( ( SV42
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false )
| ( ( SV42 @ SV7 )
= $false )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(287,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) ) )
= $true )
| ( ( SV47 @ c0 )
= $true )
| ( ( ~ ( SV47 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(288,plain,
! [SV8: $i,SV42: $i > $o] :
( ( ( SV42
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) )
= $true )
| ( ( SV42 @ SV8 )
= $false )
| ( ( ~ ( SV42 @ c0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(289,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37 @ c0 )
= $false )
| ( ( SV37 @ SV3 )
= $true )
| ( ( ~ ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(290,plain,
! [SV7: $i,SV32: $i > $o] :
( ( ( SV32 @ SV7 )
= $true )
| ( ( SV32 @ c0 )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(291,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37 @ c0 )
= $false )
| ( ( SV37 @ SV3 )
= $true )
| ( ( ~ ( SV37
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(292,plain,
! [SV8: $i,SV32: $i > $o] :
( ( ( SV32 @ SV8 )
= $true )
| ( ( SV32 @ c0 )
= $false )
| ( ( ~ ( SV32
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(293,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47 @ SV3 )
= $false )
| ( ( SV47 @ c0 )
= $true )
| ( ( SV47
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(294,plain,
! [SV7: $i,SV42: $i > $o] :
( ( ( SV42 @ c0 )
= $true )
| ( ( SV42 @ SV7 )
= $false )
| ( ( SV42
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(295,plain,
! [SV3: $i,SV47: $i > $o] :
( ( ( SV47 @ SV3 )
= $false )
| ( ( SV47 @ c0 )
= $true )
| ( ( SV47
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV47 @ SX0 )
@ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(296,plain,
! [SV8: $i,SV42: $i > $o] :
( ( ( SV42 @ c0 )
= $true )
| ( ( SV42 @ SV8 )
= $false )
| ( ( SV42
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ( SV42 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(297,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) )
= $true )
| ( ( SV37 @ SV3 )
= $true )
| ( ( SV37 @ c0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(298,plain,
! [SV7: $i,SV32: $i > $o] :
( ( ( SV32
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) )
= $true )
| ( ( SV32 @ c0 )
= $false )
| ( ( SV32 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(299,plain,
! [SV3: $i,SV37: $i > $o] :
( ( ( SV37
@ ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV37 @ SX0 )
@ SV3 ) ) ) )
= $false )
| ( ( SV37 @ SV3 )
= $true )
| ( ( SV37 @ c0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(300,plain,
! [SV8: $i,SV32: $i > $o] :
( ( ( SV32
@ ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] :
~ ~ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( SV32 @ c0 )
= $false )
| ( ( SV32 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(extuni,[status(esa)],[133]) ).
thf(302,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( SV7 = c0 )
= $true ) ),
inference(extuni,[status(esa)],[137]) ).
thf(305,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[232]) ).
thf(306,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[234]) ).
thf(307,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[236]) ).
thf(308,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[238]) ).
thf(309,plain,
! [SV3: $i] :
( ( ( c0 = SV3 )
= $true )
| ( ( ( cS
@ ( cS
@ ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != SV3 )
@ SV3 ) ) )
= SV3 )
= $true ) ),
inference(sim,[status(thm)],[240]) ).
thf(310,plain,
! [SV8: $i] :
( ( ( c0 = SV8 )
= $true )
| ( ( ( cS
@ ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 != SV8 ) ) )
= SV8 )
= $true ) ),
inference(sim,[status(thm)],[242]) ).
thf(311,plain,
! [SV3: $i] :
( ( ( SV3 = c0 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[244]) ).
thf(312,plain,
! [SV7: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true )
| ( ( SV7 = c0 )
= $true ) ),
inference(sim,[status(thm)],[246]) ).
thf(313,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 = c0 )
@ SV3 )
= c0 )
= $true )
| ( ( SV3 = c0 )
= $true ) ),
inference(sim,[status(thm)],[248]) ).
thf(314,plain,
! [SV7: $i] :
( ( ( SV7 = c0 )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i] : ( SX0 = c0 ) )
= c0 )
= $true ) ),
inference(sim,[status(thm)],[250]) ).
thf(315,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,314,313,312,311,310,309,308,307,306,305,302,301,300,299,298,297,296,295,294,293,275,274,273,272,129,127,125,123,121,119,117,115,113,112,111,110,109,108,107,106,96,57,55,53,51,49,48,46,44,30]) ).
thf(316,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM814^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Wed Jul 6 20:55:28 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.14/0.34
% 0.14/0.34 No.of.Axioms: 0
% 0.14/0.34
% 0.14/0.34 Length.of.Defs: 709
% 0.14/0.34
% 0.14/0.34 Contains.Choice.Funs: false
% 0.14/0.34 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.47/0.65
% 0.47/0.65 Prim_subst applied to clause
% 0.47/0.65
% 0.47/0.65 127:[ 0:<SV27@c0 = $false>-w(1)-i() 1:<SV27@((sK1_Xx@SV27)@SV26) = $true>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 44)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 0.47/0.68
% 0.47/0.68 Prim_subst applied to clause
% 0.47/0.68
% 0.47/0.68 127:[ 0:<SV27@c0 = $false>-w(1)-i() 1:<SV27@((sK1_Xx@SV27)@SV26) = $true>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 44)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 0.53/0.72
% 0.53/0.72 Prim_subst applied to clause
% 0.53/0.72
% 0.53/0.72 127:[ 0:<SV27@c0 = $false>-w(1)-i() 1:<SV27@((sK1_Xx@SV27)@SV26) = $true>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 44)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 0.67/0.90 .............
% 75.16/75.39 (rf:0,axioms:0,ps:2,u:1,ude:false,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:2,loop_count:0,foatp_calls:0,translation:fof_full).....
% 75.45/75.61
% 75.45/75.61 Prim_subst applied to clause
% 75.45/75.61
% 75.45/75.61 125:[ 0:<SV27@(cS@(cS@((sK1_SY111@SV26)@SV27))) = $false>-w(1)-i() 1:<SV27@c0 = $false>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 47)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 75.47/75.63
% 75.47/75.63 Prim_subst applied to clause
% 75.47/75.63
% 75.47/75.63 125:[ 0:<SV27@(cS@(cS@((sK1_SY111@SV26)@SV27))) = $false>-w(1)-i() 1:<SV27@c0 = $false>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 47)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 75.47/75.64
% 75.47/75.64 Prim_subst applied to clause
% 75.47/75.64
% 75.47/75.64 125:[ 0:<SV27@(cS@(cS@((sK1_SY111@SV26)@SV27))) = $false>-w(1)-i() 1:<SV27@c0 = $false>-w(1)-i() 2:<SV27@SV26 = $true>-w(1)-i() ]-mln(3)-w(3)-i(rename 47)-o(CONJECTURE)-fv([ SV26 SV27 ])
% 75.61/75.82 ..................................
% 150.13/150.29 (rf:0,axioms:0,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:2,loop_count:0,foatp_calls:0,translation:fof_full)........
% 150.66/150.81
% 150.66/150.81 ********************************
% 150.66/150.81 * All subproblems solved! *
% 150.66/150.81 ********************************
% 150.66/150.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:315,loop_count:0,foatp_calls:3,translation:fof_full)
% 150.68/150.83
% 150.68/150.83 %**** Beginning of derivation protocol ****
% 150.68/150.83 % SZS output start CNFRefutation
% See solution above
% 150.68/150.83
% 150.68/150.83 %**** End of derivation protocol ****
% 150.68/150.83 %**** no. of clauses in derivation: 213 ****
% 150.68/150.83 %**** clause counter: 315 ****
% 150.68/150.83
% 150.68/150.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:315,loop_count:0,foatp_calls:3,translation:fof_full)
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