%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV384+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:57:32 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 240 ( 80 unt; 0 typ; 0 def)
% Number of atoms : 2157 ( 575 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 6233 ( 714 ~; 736 |; 0 &;4732 @)
% ( 3 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 17 con; 0-3 aty)
% Number of variables : 1066 ( 0 ^;1066 !; 0 ?;1066 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bad,type,
bad: $i ).
thf(tp_bottom,type,
bottom: $i ).
thf(tp_check_cpq,type,
check_cpq: $i > $o ).
thf(tp_contains_cpq,type,
contains_cpq: $i > $i > $o ).
thf(tp_contains_slb,type,
contains_slb: $i > $i > $o ).
thf(tp_create_slb,type,
create_slb: $i ).
thf(tp_findmin_cpq_eff,type,
findmin_cpq_eff: $i > $i ).
thf(tp_findmin_cpq_res,type,
findmin_cpq_res: $i > $i ).
thf(tp_findmin_pqp_res,type,
findmin_pqp_res: $i > $i ).
thf(tp_im_succ_cpq,type,
im_succ_cpq: $i > $i ).
thf(tp_insert_cpq,type,
insert_cpq: $i > $i > $i ).
thf(tp_insert_pqp,type,
insert_pqp: $i > $i > $i ).
thf(tp_insert_slb,type,
insert_slb: $i > $i > $i ).
thf(tp_isnonempty_slb,type,
isnonempty_slb: $i > $o ).
thf(tp_less_than,type,
less_than: $i > $i > $o ).
thf(tp_lookup_slb,type,
lookup_slb: $i > $i > $i ).
thf(tp_ok,type,
ok: $i > $o ).
thf(tp_pair,type,
pair: $i > $i > $i ).
thf(tp_pair_in_list,type,
pair_in_list: $i > $i > $i > $o ).
thf(tp_remove_cpq,type,
remove_cpq: $i > $i > $i ).
thf(tp_remove_pqp,type,
remove_pqp: $i > $i > $i ).
thf(tp_remove_slb,type,
remove_slb: $i > $i > $i ).
thf(tp_removemin_cpq_eff,type,
removemin_cpq_eff: $i > $i ).
thf(tp_removemin_cpq_res,type,
removemin_cpq_res: $i > $i ).
thf(tp_sK10_SY79,type,
sK10_SY79: $i ).
thf(tp_sK11_SY82,type,
sK11_SY82: $i ).
thf(tp_sK12_SY84,type,
sK12_SY84: $i ).
thf(tp_sK1_U,type,
sK1_U: $i ).
thf(tp_sK2_SY39,type,
sK2_SY39: $i ).
thf(tp_sK3_SY44,type,
sK3_SY44: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SY66,type,
sK6_SY66: $i ).
thf(tp_sK7_SY69,type,
sK7_SY69: $i ).
thf(tp_sK8_SY74,type,
sK8_SY74: $i ).
thf(tp_sK9_SY75,type,
sK9_SY75: $i ).
thf(tp_strictly_less_than,type,
strictly_less_than: $i > $i > $o ).
thf(tp_succ_cpq,type,
succ_cpq: $i > $i > $o ).
thf(tp_triple,type,
triple: $i > $i > $i > $i ).
thf(tp_update_slb,type,
update_slb: $i > $i > $i ).
thf(1,axiom,
( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ( ~ ( check_cpq @ ( triple @ X @ Y @ Z ) )
| ~ ( ok @ ( triple @ X @ Y @ Z ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
=> ! [X1: $i,X2: $i,X3: $i] :
( ( ~ ( check_cpq @ ( triple @ X1 @ X2 @ X3 ) )
| ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
=> ( ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) )
| ~ ( check_cpq @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).
thf(14,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(15,axiom,
! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(19,axiom,
! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(20,axiom,
! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( removemin_cpq_eff @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(21,axiom,
! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(22,axiom,
! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( remove_cpq @ V @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(23,axiom,
! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( insert_cpq @ V @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(24,axiom,
! [U: $i] : ( succ_cpq @ U @ U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(43,axiom,
! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).
thf(44,conjecture,
! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ! [X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
| ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).
thf(45,negated_conjecture,
( ( ! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ! [X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
| ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[44]) ).
thf(46,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ! [X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ~ ( ok @ ( triple @ X @ Y @ Z ) )
| ~ ( check_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[45]) ).
thf(47,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ( ~ ( check_cpq @ ( triple @ X @ Y @ Z ) )
| ~ ( ok @ ( triple @ X @ Y @ Z ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
=> ! [X1: $i,X2: $i,X3: $i] :
( ( ~ ( check_cpq @ ( triple @ X1 @ X2 @ X3 ) )
| ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
=> ( ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) )
| ~ ( check_cpq @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(48,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(51,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( removemin_cpq_eff @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(52,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(53,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( remove_cpq @ V @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(54,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( insert_cpq @ V @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(55,plain,
( ( ! [U: $i] : ( succ_cpq @ U @ U ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(56,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(57,plain,
( ( ! [SY39: $i,SY40: $i] :
( ( ~ ( check_cpq @ ( triple @ sK1_U @ SY39 @ SY40 ) )
| ~ ( ok @ ( triple @ sK1_U @ SY39 @ SY40 ) ) )
=> ! [SY41: $i,SY42: $i,SY43: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ SY39 @ SY40 ) @ ( triple @ SY41 @ SY42 @ SY43 ) )
=> ( ~ ( ok @ ( triple @ SY41 @ SY42 @ SY43 ) )
| ~ ( check_cpq @ ( triple @ SY41 @ SY42 @ SY43 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(58,plain,
( ( ! [SY44: $i] :
( ( ~ ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ SY44 ) )
| ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ SY44 ) ) )
=> ! [SY45: $i,SY46: $i,SY47: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ SY44 ) @ ( triple @ SY45 @ SY46 @ SY47 ) )
=> ( ~ ( ok @ ( triple @ SY45 @ SY46 @ SY47 ) )
| ~ ( check_cpq @ ( triple @ SY45 @ SY46 @ SY47 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[57]) ).
thf(59,plain,
( ( ( ~ ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
| ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
=> ! [SY48: $i,SY49: $i,SY50: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SY48 @ SY49 @ SY50 ) )
=> ( ~ ( ok @ ( triple @ SY48 @ SY49 @ SY50 ) )
| ~ ( check_cpq @ ( triple @ SY48 @ SY49 @ SY50 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(60,plain,
( ( ~ ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
| ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[59]) ).
thf(61,plain,
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SY48 @ SY49 @ SY50 ) )
=> ( ~ ( ok @ ( triple @ SY48 @ SY49 @ SY50 ) )
| ~ ( check_cpq @ ( triple @ SY48 @ SY49 @ SY50 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[59]) ).
thf(62,plain,
( ( ~ ! [SY48: $i,SY49: $i,SY50: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SY48 @ SY49 @ SY50 ) )
=> ( ~ ( ok @ ( triple @ SY48 @ SY49 @ SY50 ) )
| ~ ( check_cpq @ ( triple @ SY48 @ SY49 @ SY50 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[61]) ).
thf(63,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ~ ( check_cpq @ ( triple @ U @ V @ W ) )
| ~ ( ok @ ( triple @ U @ V @ W ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ U @ V @ W ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(64,plain,
( ( ! [U: $i] : ( succ_cpq @ U @ U ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(65,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( insert_cpq @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(66,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( remove_cpq @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(67,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( findmin_cpq_eff @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(68,plain,
( ( ! [U: $i,V: $i] :
( ( succ_cpq @ U @ V )
=> ( succ_cpq @ U @ ( removemin_cpq_eff @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(69,plain,
( ( ! [U: $i,V: $i] : ( check_cpq @ ( triple @ U @ create_slb @ V ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(70,plain,
( ( ! [U: $i,V: $i] :
( ( ok @ ( triple @ U @ V @ bad ) )
<=> $false ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(71,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ok @ ( triple @ U @ V @ W ) )
=> ( W = bad ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(72,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( succ_cpq @ ( triple @ U @ V @ W ) @ ( triple @ X @ Y @ Z ) )
=> ( ( ~ ( check_cpq @ ( triple @ X @ Y @ Z ) )
| ~ ( ok @ ( triple @ X @ Y @ Z ) ) )
=> ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ X @ Y @ Z ) ) ) ) ) )
=> ! [X1: $i,X2: $i,X3: $i] :
( ( ~ ( check_cpq @ ( triple @ X1 @ X2 @ X3 ) )
| ~ ( ok @ ( triple @ X1 @ X2 @ X3 ) ) )
=> ! [X4: $i,X5: $i,X6: $i] :
( ( succ_cpq @ ( triple @ X1 @ X2 @ X3 ) @ ( triple @ X4 @ X5 @ X6 ) )
=> ( ~ ( ok @ ( triple @ X4 @ X5 @ X6 ) )
| ~ ( check_cpq @ ( triple @ X4 @ X5 @ X6 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(73,plain,
( ( ~ ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
| ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(74,plain,
( ( ~ ! [SY48: $i,SY49: $i,SY50: $i] :
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SY48 @ SY49 @ SY50 ) )
=> ( ~ ( ok @ ( triple @ SY48 @ SY49 @ SY50 ) )
| ~ ( check_cpq @ ( triple @ SY48 @ SY49 @ SY50 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( remove_cpq @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(76,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) )
| ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( insert_cpq @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ( SX2 = bad ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(79,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( findmin_cpq_eff @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( succ_cpq @ SX0 @ SX1 )
| ( succ_cpq @ SX0 @ ( removemin_cpq_eff @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SX0 @ SX1 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SX0 @ SX1 @ bad ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(84,plain,
! [SV1: $i] :
( ( succ_cpq @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(85,plain,
! [SV2: $i] :
( ( ! [SY51: $i] : ( check_cpq @ ( triple @ SV2 @ create_slb @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(86,plain,
( ( ( ~ ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV3: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ( succ_cpq @ SV3 @ SY52 )
| ( succ_cpq @ SV3 @ ( remove_cpq @ SY52 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(88,plain,
( ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV4: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( succ_cpq @ SV4 @ SY54 )
| ( succ_cpq @ SV4 @ ( insert_cpq @ SY54 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(90,plain,
! [SV5: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ~ ( ok @ ( triple @ SV5 @ SY56 @ SY57 ) )
| ( SY57 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV6: $i] :
( ( ! [SY58: $i] :
( ~ ( succ_cpq @ SV6 @ SY58 )
| ( succ_cpq @ SV6 @ ( findmin_cpq_eff @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(93,plain,
! [SV7: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV7 @ SY59 @ SY60 ) )
| ~ ( ok @ ( triple @ SV7 @ SY59 @ SY60 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SY59 @ SY60 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SY59 @ SY60 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV8: $i] :
( ( ! [SY61: $i] :
( ~ ( succ_cpq @ SV8 @ SY61 )
| ( succ_cpq @ SV8 @ ( removemin_cpq_eff @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV9: $i] :
( ( ! [SY62: $i] :
~ ( ~ ( ~ ( ok @ ( triple @ SV9 @ SY62 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV9 @ SY62 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV10: $i,SV2: $i] :
( ( check_cpq @ ( triple @ SV2 @ create_slb @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(97,plain,
( ( ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(98,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY63: $i] :
( ~ ( succ_cpq @ SV3 @ SV11 )
| ( succ_cpq @ SV3 @ ( remove_cpq @ SV11 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(99,plain,
( ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(100,plain,
! [SV12: $i,SV4: $i] :
( ( ! [SY64: $i] :
( ~ ( succ_cpq @ SV4 @ SV12 )
| ( succ_cpq @ SV4 @ ( insert_cpq @ SV12 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV13: $i,SV5: $i] :
( ( ! [SY65: $i] :
( ~ ~ ( ok @ ( triple @ SV5 @ SV13 @ SY65 ) )
| ( SY65 = bad ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(102,plain,
( ( ! [SY66: $i,SY67: $i] :
( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ sK4_SX0 @ SY66 @ SY67 ) )
| ~ ( ok @ ( triple @ sK4_SX0 @ SY66 @ SY67 ) )
| ~ ( check_cpq @ ( triple @ sK4_SX0 @ SY66 @ SY67 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(103,plain,
! [SV14: $i,SV6: $i] :
( ( ~ ( succ_cpq @ SV6 @ SV14 )
| ( succ_cpq @ SV6 @ ( findmin_cpq_eff @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY68: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV7 @ SV15 @ SY68 ) )
| ~ ( ok @ ( triple @ SV7 @ SV15 @ SY68 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SY68 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SY68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV16: $i,SV8: $i] :
( ( ~ ( succ_cpq @ SV8 @ SV16 )
| ( succ_cpq @ SV8 @ ( removemin_cpq_eff @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV9 @ SV17 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(107,plain,
( ( ( ok @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
= $false )
| ( ( check_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ~ ( succ_cpq @ SV3 @ SV11 )
| ( succ_cpq @ SV3 @ ( remove_cpq @ SV11 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(109,plain,
( ( ( ! [SY69: $i,SY70: $i,SY71: $i,SY72: $i,SY73: $i] :
( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ SY69 @ SY70 ) @ ( triple @ SY71 @ SY72 @ SY73 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SY71 @ SY72 @ SY73 ) )
| ~ ( ok @ ( triple @ SY71 @ SY72 @ SY73 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SY71 @ SY72 @ SY73 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SY71 @ SY72 @ SY73 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(110,plain,
! [SV19: $i,SV12: $i,SV4: $i] :
( ( ~ ( succ_cpq @ SV4 @ SV12 )
| ( succ_cpq @ SV4 @ ( insert_cpq @ SV12 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV20: $i,SV13: $i,SV5: $i] :
( ( ~ ~ ( ok @ ( triple @ SV5 @ SV13 @ SV20 ) )
| ( SV20 = bad ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(112,plain,
( ( ! [SY74: $i] :
( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ sK4_SX0 @ sK6_SY66 @ SY74 ) )
| ~ ( ok @ ( triple @ sK4_SX0 @ sK6_SY66 @ SY74 ) )
| ~ ( check_cpq @ ( triple @ sK4_SX0 @ sK6_SY66 @ SY74 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(113,plain,
! [SV14: $i,SV6: $i] :
( ( ( ~ ( succ_cpq @ SV6 @ SV14 ) )
= $true )
| ( ( succ_cpq @ SV6 @ ( findmin_cpq_eff @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ~ ( ~ ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
| ~ ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV16: $i,SV8: $i] :
( ( ( ~ ( succ_cpq @ SV8 @ SV16 ) )
= $true )
| ( ( succ_cpq @ SV8 @ ( removemin_cpq_eff @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(116,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
| $false )
| ~ ( ~ $false
| ( ok @ ( triple @ SV9 @ SV17 @ bad ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(117,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( succ_cpq @ SV3 @ SV11 ) )
= $true )
| ( ( succ_cpq @ SV3 @ ( remove_cpq @ SV11 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(118,plain,
( ( ( ! [SY75: $i,SY76: $i,SY77: $i,SY78: $i] :
( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ SY75 ) @ ( triple @ SY76 @ SY77 @ SY78 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SY76 @ SY77 @ SY78 ) )
| ~ ( ok @ ( triple @ SY76 @ SY77 @ SY78 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SY76 @ SY77 @ SY78 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SY76 @ SY77 @ SY78 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(119,plain,
! [SV19: $i,SV12: $i,SV4: $i] :
( ( ( ~ ( succ_cpq @ SV4 @ SV12 ) )
= $true )
| ( ( succ_cpq @ SV4 @ ( insert_cpq @ SV12 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV20: $i,SV13: $i,SV5: $i] :
( ( ( ~ ~ ( ok @ ( triple @ SV5 @ SV13 @ SV20 ) ) )
= $true )
| ( ( SV20 = bad )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(121,plain,
( ( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
| ~ ( ok @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
| ~ ( check_cpq @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(122,plain,
! [SV14: $i,SV6: $i] :
( ( ( succ_cpq @ SV6 @ SV14 )
= $false )
| ( ( succ_cpq @ SV6 @ ( findmin_cpq_eff @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
| ~ ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV16: $i,SV8: $i] :
( ( ( succ_cpq @ SV8 @ SV16 )
= $false )
| ( ( succ_cpq @ SV8 @ ( removemin_cpq_eff @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( ~ ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
| $false ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(126,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( ~ $false
| ( ok @ ( triple @ SV9 @ SV17 @ bad ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(127,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ( succ_cpq @ SV3 @ SV11 )
= $false )
| ( ( succ_cpq @ SV3 @ ( remove_cpq @ SV11 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(128,plain,
( ( ( ! [SY79: $i,SY80: $i,SY81: $i] :
( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ SY79 @ SY80 @ SY81 ) )
| ~ ( ~ ( check_cpq @ ( triple @ SY79 @ SY80 @ SY81 ) )
| ~ ( ok @ ( triple @ SY79 @ SY80 @ SY81 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SY79 @ SY80 @ SY81 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SY79 @ SY80 @ SY81 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(129,plain,
! [SV19: $i,SV12: $i,SV4: $i] :
( ( ( succ_cpq @ SV4 @ SV12 )
= $false )
| ( ( succ_cpq @ SV4 @ ( insert_cpq @ SV12 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV20: $i,SV13: $i,SV5: $i] :
( ( ( ~ ( ok @ ( triple @ SV5 @ SV13 @ SV20 ) ) )
= $false )
| ( ( SV20 = bad )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(131,plain,
( ( ~ ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(132,plain,
( ( ~ ( ok @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
| ~ ( check_cpq @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(133,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
| ~ ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV17: $i,SV9: $i] :
( ( ~ ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
| $false )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(135,plain,
! [SV17: $i,SV9: $i] :
( ( ~ $false
| ( ok @ ( triple @ SV9 @ SV17 @ bad ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(136,plain,
( ( ( ! [SY82: $i,SY83: $i] :
( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ SY82 @ SY83 ) )
| ~ ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ SY82 @ SY83 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ SY82 @ SY83 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ SY82 @ SY83 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ SY82 @ SY83 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(137,plain,
! [SV20: $i,SV13: $i,SV5: $i] :
( ( ( ok @ ( triple @ SV5 @ SV13 @ SV20 ) )
= $true )
| ( ( SV20 = bad )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(138,plain,
( ( succ_cpq @ ( triple @ sK1_U @ sK2_SY39 @ sK3_SY44 ) @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
( ( ~ ( ok @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(140,plain,
( ( ~ ( check_cpq @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(141,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(143,plain,
! [SV17: $i,SV9: $i] :
( ( ( ~ ( ok @ ( triple @ SV9 @ SV17 @ bad ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV17: $i,SV9: $i] :
( ( ( ~ $false ) = $true )
| ( ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(145,plain,
( ( ( ! [SY84: $i] :
( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ SY84 ) )
| ~ ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ SY84 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ SY84 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ SY84 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ SY84 ) ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(146,plain,
( ( ok @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(147,plain,
( ( check_cpq @ ( triple @ sK4_SX0 @ sK6_SY66 @ sK8_SY74 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(148,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(149,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true )
| ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(150,plain,
! [SV17: $i,SV9: $i] :
( ( ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV17: $i,SV9: $i] :
( ( $false = $false )
| ( ( ok @ ( triple @ SV9 @ SV17 @ bad ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(152,plain,
( ( ( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
| ~ ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(153,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(154,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(155,plain,
( ( ( ~ ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(156,plain,
( ( ( ~ ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
| ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(157,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(158,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ~ ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(159,plain,
( ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(160,plain,
( ( ( ~ ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(161,plain,
( ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
| ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(162,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( check_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV21: $i,SV15: $i,SV7: $i] :
( ( ( ok @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ SV7 @ SV15 @ SV21 ) ) )
= $false )
| ( ( ok @ ( triple @ SV7 @ SV15 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV22: $i] :
( ( ( ! [SY85: $i,SY86: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV22 @ SY85 @ SY86 ) )
| ~ ( ok @ ( triple @ SV22 @ SY85 @ SY86 ) ) )
| ! [SY87: $i,SY88: $i,SY89: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SY85 @ SY86 ) @ ( triple @ SY87 @ SY88 @ SY89 ) )
| ~ ( ok @ ( triple @ SY87 @ SY88 @ SY89 ) )
| ~ ( check_cpq @ ( triple @ SY87 @ SY88 @ SY89 ) ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(165,plain,
( ( ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
| ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(166,plain,
( ( ( ~ ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(167,plain,
( ( ( ~ ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(168,plain,
! [SV23: $i,SV22: $i] :
( ( ( ! [SY90: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV22 @ SV23 @ SY90 ) )
| ~ ( ok @ ( triple @ SV22 @ SV23 @ SY90 ) ) )
| ! [SY91: $i,SY92: $i,SY93: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SY90 ) @ ( triple @ SY91 @ SY92 @ SY93 ) )
| ~ ( ok @ ( triple @ SY91 @ SY92 @ SY93 ) )
| ~ ( check_cpq @ ( triple @ SY91 @ SY92 @ SY93 ) ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(169,plain,
( ( ( ~ ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(170,plain,
( ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(171,plain,
( ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(172,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
| ~ ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) ) )
| ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(173,plain,
( ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV25: $i] :
( ( ( ! [SY97: $i,SY98: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV25 @ SY97 @ SY98 ) )
| ~ ( ok @ ( triple @ SV25 @ SY97 @ SY98 ) ) )
| ! [SY99: $i,SY100: $i,SY101: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SY97 @ SY98 ) @ ( triple @ SY99 @ SY100 @ SY101 ) )
| ~ ( ok @ ( triple @ SY99 @ SY100 @ SY101 ) )
| ~ ( check_cpq @ ( triple @ SY99 @ SY100 @ SY101 ) ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(175,plain,
! [SV26: $i] :
( ( ( ! [SY102: $i,SY103: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV26 @ SY102 @ SY103 ) )
| ~ ( ok @ ( triple @ SV26 @ SY102 @ SY103 ) ) )
| ! [SY104: $i,SY105: $i,SY106: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SY102 @ SY103 ) @ ( triple @ SY104 @ SY105 @ SY106 ) )
| ~ ( ok @ ( triple @ SY104 @ SY105 @ SY106 ) )
| ~ ( check_cpq @ ( triple @ SY104 @ SY105 @ SY106 ) ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(176,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
| ~ ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) ) ) )
= $true )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(177,plain,
( ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) )
| ~ ( ok @ ( triple @ SX0 @ SX1 @ SX2 ) ) )
| ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ( succ_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( ok @ ( triple @ SX3 @ SX4 @ SX5 ) )
| ~ ( check_cpq @ ( triple @ SX3 @ SX4 @ SX5 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(178,plain,
! [SV27: $i,SV25: $i] :
( ( ( ! [SY107: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV25 @ SV27 @ SY107 ) )
| ~ ( ok @ ( triple @ SV25 @ SV27 @ SY107 ) ) )
| ! [SY108: $i,SY109: $i,SY110: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SY107 ) @ ( triple @ SY108 @ SY109 @ SY110 ) )
| ~ ( ok @ ( triple @ SY108 @ SY109 @ SY110 ) )
| ~ ( check_cpq @ ( triple @ SY108 @ SY109 @ SY110 ) ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(179,plain,
! [SV28: $i,SV26: $i] :
( ( ( ! [SY111: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV26 @ SV28 @ SY111 ) )
| ~ ( ok @ ( triple @ SV26 @ SV28 @ SY111 ) ) )
| ! [SY112: $i,SY113: $i,SY114: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SY111 ) @ ( triple @ SY112 @ SY113 @ SY114 ) )
| ~ ( ok @ ( triple @ SY112 @ SY113 @ SY114 ) )
| ~ ( check_cpq @ ( triple @ SY112 @ SY113 @ SY114 ) ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(180,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
| ~ ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) ) )
= $false )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(181,plain,
! [SV29: $i] :
( ( ( ! [SY115: $i,SY116: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV29 @ SY115 @ SY116 ) )
| ~ ( ok @ ( triple @ SV29 @ SY115 @ SY116 ) ) )
| ! [SY117: $i,SY118: $i,SY119: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SY115 @ SY116 ) @ ( triple @ SY117 @ SY118 @ SY119 ) )
| ~ ( ok @ ( triple @ SY117 @ SY118 @ SY119 ) )
| ~ ( check_cpq @ ( triple @ SY117 @ SY118 @ SY119 ) ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(182,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
| ~ ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) ) )
| ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(183,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
| ~ ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) ) )
| ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(184,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) ) )
= $false )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(185,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) ) )
= $false )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(186,plain,
! [SV32: $i,SV29: $i] :
( ( ( ! [SY126: $i] :
( ~ ( ~ ( check_cpq @ ( triple @ SV29 @ SV32 @ SY126 ) )
| ~ ( ok @ ( triple @ SV29 @ SV32 @ SY126 ) ) )
| ! [SY127: $i,SY128: $i,SY129: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SY126 ) @ ( triple @ SY127 @ SY128 @ SY129 ) )
| ~ ( ok @ ( triple @ SY127 @ SY128 @ SY129 ) )
| ~ ( check_cpq @ ( triple @ SY127 @ SY128 @ SY129 ) ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(187,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
| ~ ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) ) ) )
= $true )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(188,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
| ~ ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) ) ) )
= $true )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(189,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(190,plain,
! [SV24: $i,SV23: $i,SV22: $i] :
( ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( ok @ ( triple @ SY94 @ SY95 @ SY96 ) )
| ~ ( check_cpq @ ( triple @ SY94 @ SY95 @ SY96 ) ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(191,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
| ~ ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) ) )
| ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(192,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
| ~ ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) ) )
= $false )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
| ~ ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) ) )
= $false )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(194,plain,
! [SV34: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ! [SY133: $i,SY134: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SY133 @ SY134 ) )
| ~ ( ok @ ( triple @ SV34 @ SY133 @ SY134 ) )
| ~ ( check_cpq @ ( triple @ SV34 @ SY133 @ SY134 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(195,plain,
! [SV35: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ! [SY135: $i,SY136: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SY135 @ SY136 ) )
| ~ ( ok @ ( triple @ SV35 @ SY135 @ SY136 ) )
| ~ ( check_cpq @ ( triple @ SV35 @ SY135 @ SY136 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(196,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( ~ ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
| ~ ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) ) ) )
= $true )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(197,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) ) )
= $false )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(198,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) ) )
= $false )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(199,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) ) )
= $false )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(200,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) ) )
= $false )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(201,plain,
! [SV36: $i,SV34: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ! [SY137: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SY137 ) )
| ~ ( ok @ ( triple @ SV34 @ SV36 @ SY137 ) )
| ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SY137 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV37: $i,SV35: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ! [SY138: $i] :
( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SY138 ) )
| ~ ( ok @ ( triple @ SV35 @ SV37 @ SY138 ) )
| ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SY138 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
| ~ ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) ) )
= $false )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(204,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(205,plain,
! [SV30: $i,SV27: $i,SV25: $i] :
( ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( ok @ ( triple @ SY120 @ SY121 @ SY122 ) )
| ~ ( check_cpq @ ( triple @ SY120 @ SY121 @ SY122 ) ) ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(206,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(207,plain,
! [SV31: $i,SV28: $i,SV26: $i] :
( ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( ok @ ( triple @ SY123 @ SY124 @ SY125 ) )
| ~ ( check_cpq @ ( triple @ SY123 @ SY124 @ SY125 ) ) ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(208,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) )
| ~ ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) )
| ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(209,plain,
! [SV39: $i,SV37: $i,SV35: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) )
| ~ ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) )
| ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(210,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) ) )
= $false )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(211,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) ) )
= $false )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(212,plain,
! [SV40: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ! [SY139: $i,SY140: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SY139 @ SY140 ) )
| ~ ( ok @ ( triple @ SV40 @ SY139 @ SY140 ) )
| ~ ( check_cpq @ ( triple @ SV40 @ SY139 @ SY140 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV41: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ! [SY141: $i,SY142: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SY141 @ SY142 ) )
| ~ ( ok @ ( triple @ SV41 @ SY141 @ SY142 ) )
| ~ ( check_cpq @ ( triple @ SV41 @ SY141 @ SY142 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(214,plain,
! [SV42: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ! [SY143: $i,SY144: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SY143 @ SY144 ) )
| ~ ( ok @ ( triple @ SV42 @ SY143 @ SY144 ) )
| ~ ( check_cpq @ ( triple @ SV42 @ SY143 @ SY144 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(215,plain,
! [SV43: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ! [SY145: $i,SY146: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SY145 @ SY146 ) )
| ~ ( ok @ ( triple @ SV43 @ SY145 @ SY146 ) )
| ~ ( check_cpq @ ( triple @ SV43 @ SY145 @ SY146 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) )
| ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV39: $i,SV37: $i,SV35: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) )
| ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(219,plain,
! [SV33: $i,SV32: $i,SV29: $i] :
( ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( ok @ ( triple @ SY130 @ SY131 @ SY132 ) )
| ~ ( check_cpq @ ( triple @ SY130 @ SY131 @ SY132 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(220,plain,
! [SV44: $i,SV40: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ! [SY147: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SY147 ) )
| ~ ( ok @ ( triple @ SV40 @ SV44 @ SY147 ) )
| ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SY147 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(221,plain,
! [SV45: $i,SV41: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ! [SY148: $i] :
( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SY148 ) )
| ~ ( ok @ ( triple @ SV41 @ SV45 @ SY148 ) )
| ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SY148 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(222,plain,
! [SV46: $i,SV42: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ! [SY149: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SY149 ) )
| ~ ( ok @ ( triple @ SV42 @ SV46 @ SY149 ) )
| ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SY149 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(223,plain,
! [SV47: $i,SV43: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ! [SY150: $i] :
( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SY150 ) )
| ~ ( ok @ ( triple @ SV43 @ SV47 @ SY150 ) )
| ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SY150 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(224,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) )
| ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(225,plain,
! [SV39: $i,SV37: $i,SV35: $i,SV24: $i,SV23: $i,SV22: $i] :
( ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) )
| ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV48: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ! [SY151: $i,SY152: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SY151 @ SY152 ) )
| ~ ( ok @ ( triple @ SV48 @ SY151 @ SY152 ) )
| ~ ( check_cpq @ ( triple @ SV48 @ SY151 @ SY152 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV49: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ! [SY153: $i,SY154: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SY153 @ SY154 ) )
| ~ ( ok @ ( triple @ SV49 @ SY153 @ SY154 ) )
| ~ ( check_cpq @ ( triple @ SV49 @ SY153 @ SY154 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV50: $i,SV44: $i,SV40: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) )
| ~ ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) )
| ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(229,plain,
! [SV51: $i,SV45: $i,SV41: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) )
| ~ ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) )
| ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(230,plain,
! [SV52: $i,SV46: $i,SV42: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) )
| ~ ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) )
| ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV53: $i,SV47: $i,SV43: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) )
| ~ ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) )
| ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(232,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV38: $i,SV36: $i,SV34: $i] :
( ( ( ~ ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV39: $i,SV37: $i,SV35: $i] :
( ( ( ~ ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV54: $i,SV48: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ! [SY155: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SY155 ) )
| ~ ( ok @ ( triple @ SV48 @ SV54 @ SY155 ) )
| ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SY155 ) ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV55: $i,SV49: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ! [SY156: $i] :
( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SY156 ) )
| ~ ( ok @ ( triple @ SV49 @ SV55 @ SY156 ) )
| ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SY156 ) ) ) )
= $true )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV50: $i,SV44: $i,SV40: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) )
| ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV51: $i,SV45: $i,SV41: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) )
| ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV52: $i,SV46: $i,SV42: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) )
| ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(239,plain,
! [SV53: $i,SV47: $i,SV43: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) )
| ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(240,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV38: $i,SV36: $i,SV34: $i] :
( ( ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV39: $i,SV37: $i,SV35: $i] :
( ( ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV56: $i,SV54: $i,SV48: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) )
| ~ ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) )
| ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(243,plain,
! [SV57: $i,SV55: $i,SV49: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) )
| ~ ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) )
| ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV50: $i,SV44: $i,SV40: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) )
| ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(245,plain,
! [SV51: $i,SV45: $i,SV41: $i,SV30: $i,SV27: $i,SV25: $i] :
( ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) )
| ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(246,plain,
! [SV52: $i,SV46: $i,SV42: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) )
| ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(247,plain,
! [SV53: $i,SV47: $i,SV43: $i,SV31: $i,SV28: $i,SV26: $i] :
( ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) )
| ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(248,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV38: $i,SV36: $i,SV34: $i] :
( ( ( check_cpq @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( ok @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(249,plain,
! [SV24: $i,SV23: $i,SV22: $i,SV39: $i,SV37: $i,SV35: $i] :
( ( ( check_cpq @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ok @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV22 @ SV23 @ SV24 ) @ ( triple @ SV35 @ SV37 @ SV39 ) )
= $false )
| ( ( ok @ ( triple @ SV22 @ SV23 @ SV24 ) )
= $true )
| ( ( succ_cpq @ ( triple @ sK5_SX0 @ sK7_SY69 @ sK9_SY75 ) @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(250,plain,
! [SV56: $i,SV54: $i,SV48: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) )
| ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(251,plain,
! [SV57: $i,SV55: $i,SV49: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( ~ ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( ~ ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) )
| ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(252,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV50: $i,SV44: $i,SV40: $i] :
( ( ( ~ ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(253,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV51: $i,SV45: $i,SV41: $i] :
( ( ( ~ ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV52: $i,SV46: $i,SV42: $i] :
( ( ( ~ ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(255,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV53: $i,SV47: $i,SV43: $i] :
( ( ( ~ ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(256,plain,
! [SV56: $i,SV54: $i,SV48: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) )
| ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(257,plain,
! [SV57: $i,SV55: $i,SV49: $i,SV33: $i,SV32: $i,SV29: $i] :
( ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ~ ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) )
| ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(258,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV50: $i,SV44: $i,SV40: $i] :
( ( ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(259,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV51: $i,SV45: $i,SV41: $i] :
( ( ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(260,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV52: $i,SV46: $i,SV42: $i] :
( ( ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(261,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV53: $i,SV47: $i,SV43: $i] :
( ( ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(262,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV56: $i,SV54: $i,SV48: $i] :
( ( ( ~ ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(263,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV57: $i,SV55: $i,SV49: $i] :
( ( ( ~ ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(264,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV50: $i,SV44: $i,SV40: $i] :
( ( ( check_cpq @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( ok @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV40 @ SV44 @ SV50 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(265,plain,
! [SV30: $i,SV27: $i,SV25: $i,SV51: $i,SV45: $i,SV41: $i] :
( ( ( check_cpq @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ok @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV25 @ SV27 @ SV30 ) @ ( triple @ SV41 @ SV45 @ SV51 ) )
= $false )
| ( ( ok @ ( triple @ SV25 @ SV27 @ SV30 ) )
= $true )
| ( ( check_cpq @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(266,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV52: $i,SV46: $i,SV42: $i] :
( ( ( check_cpq @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( ok @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV42 @ SV46 @ SV52 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(267,plain,
! [SV31: $i,SV28: $i,SV26: $i,SV53: $i,SV47: $i,SV43: $i] :
( ( ( check_cpq @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ok @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV26 @ SV28 @ SV31 ) @ ( triple @ SV43 @ SV47 @ SV53 ) )
= $false )
| ( ( ok @ ( triple @ SV26 @ SV28 @ SV31 ) )
= $true )
| ( ( ok @ ( im_succ_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(268,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV56: $i,SV54: $i,SV48: $i] :
( ( ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(269,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV57: $i,SV55: $i,SV49: $i] :
( ( ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ~ ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) ) )
= $true )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(270,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV56: $i,SV54: $i,SV48: $i] :
( ( ( check_cpq @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( ok @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV48 @ SV54 @ SV56 ) )
= $false )
| ( ( check_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(271,plain,
! [SV33: $i,SV32: $i,SV29: $i,SV57: $i,SV55: $i,SV49: $i] :
( ( ( check_cpq @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ok @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( succ_cpq @ ( triple @ SV29 @ SV32 @ SV33 ) @ ( triple @ SV49 @ SV55 @ SV57 ) )
= $false )
| ( ( ok @ ( triple @ SV29 @ SV32 @ SV33 ) )
= $true )
| ( ( check_cpq @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false )
| ( ( ok @ ( triple @ sK10_SY79 @ sK11_SY82 @ sK12_SY84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(272,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[84,271,270,267,266,265,264,249,248,163,162,151,150,147,146,138,137,129,127,124,122,107,96]) ).
thf(273,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV384+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 16:27:31 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.25
% 0.10/0.25 No.of.Axioms: 10
% 0.10/0.25
% 0.10/0.25 Length.of.Defs: 0
% 0.10/0.25
% 0.10/0.25 Contains.Choice.Funs: false
% 0.10/0.25 .........
% 0.10/0.25
% 0.10/0.25 ********************************
% 0.10/0.25 * All subproblems solved! *
% 0.10/0.25 ********************************
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.25
% 0.10/0.25 %**** Beginning of derivation protocol ****
% 0.10/0.25 % SZS output start CNFRefutation
% See solution above
% 0.10/0.25
% 0.10/0.25 %**** End of derivation protocol ****
% 0.10/0.25 %**** no. of clauses in derivation: 240 ****
% 0.10/0.25 %**** clause counter: 272 ****
% 0.10/0.25
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:272,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------