%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV370+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 : n011.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 10:57:30 AM UTC 2026
% Result : Theorem 1.20s 0.42s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 307 ( 217 unt; 0 typ; 0 def)
% Number of atoms : 1705 ( 659 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 4397 ( 604 ~; 550 |; 4 &;3197 @)
% ( 32 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 17 con; 0-3 aty)
% Number of variables : 1099 ( 0 ^;1099 !; 0 ?;1099 :)
% 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_pq,type,
contains_pq: $i > $i > $o ).
thf(tp_contains_slb,type,
contains_slb: $i > $i > $o ).
thf(tp_create_pq,type,
create_pq: $i ).
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_pq_eff,type,
findmin_pq_eff: $i > $i > $i ).
thf(tp_findmin_pq_res,type,
findmin_pq_res: $i > $i > $i ).
thf(tp_findmin_pqp_res,type,
findmin_pqp_res: $i > $i ).
thf(tp_i,type,
i: $i > $i ).
thf(tp_insert_cpq,type,
insert_cpq: $i > $i > $i ).
thf(tp_insert_pq,type,
insert_pq: $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_pq,type,
isnonempty_pq: $i > $o ).
thf(tp_isnonempty_slb,type,
isnonempty_slb: $i > $o ).
thf(tp_issmallestelement_pq,type,
issmallestelement_pq: $i > $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_phi,type,
phi: $i > $o ).
thf(tp_pi_find_min,type,
pi_find_min: $i > $o ).
thf(tp_pi_remove,type,
pi_remove: $i > $i > $o ).
thf(tp_pi_removemin,type,
pi_removemin: $i > $o ).
thf(tp_pi_sharp_find_min,type,
pi_sharp_find_min: $i > $i > $o ).
thf(tp_pi_sharp_remove,type,
pi_sharp_remove: $i > $i > $o ).
thf(tp_pi_sharp_removemin,type,
pi_sharp_removemin: $i > $i > $o ).
thf(tp_remove_cpq,type,
remove_cpq: $i > $i > $i ).
thf(tp_remove_pq,type,
remove_pq: $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_removemin_pq_eff,type,
removemin_pq_eff: $i > $i > $i ).
thf(tp_removemin_pq_res,type,
removemin_pq_res: $i > $i > $i ).
thf(tp_sK10_SY162,type,
sK10_SY162: $i ).
thf(tp_sK11_SY165,type,
sK11_SY165: $i ).
thf(tp_sK1_U,type,
sK1_U: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY90,type,
sK3_SY90: $i ).
thf(tp_sK4_SY100,type,
sK4_SY100: $i ).
thf(tp_sK5_SY105,type,
sK5_SY105: $i ).
thf(tp_sK6_SY107,type,
sK6_SY107: $i ).
thf(tp_sK7_SX0,type,
sK7_SX0: $i ).
thf(tp_sK8_SY139,type,
sK8_SY139: $i ).
thf(tp_sK9_SY154,type,
sK9_SY154: $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(7,axiom,
! [U: $i,V: $i] :
( ( pi_sharp_remove @ U @ V )
<=> ( contains_pq @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(8,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(24,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(37,axiom,
! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(39,axiom,
! [U: $i,V: $i,W: $i] :
( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(40,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(42,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(44,axiom,
! [U: $i,V: $i,W: $i] : ( isnonempty_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(54,axiom,
! [U: $i,V: $i,W: $i] :
( ( contains_pq @ ( insert_pq @ U @ V ) @ W )
<=> ( ( contains_pq @ U @ W )
| ( V = W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(55,axiom,
! [U: $i] :
~ ( contains_pq @ create_pq @ U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(63,conjecture,
! [U: $i] :
( ! [V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ V @ U @ W ) @ X )
<=> ( contains_pq @ ( i @ ( triple @ V @ U @ W ) ) @ X ) )
=> ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ( contains_cpq @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) @ X3 )
<=> ( contains_pq @ ( i @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) ) @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6_co) ).
thf(64,negated_conjecture,
( ( ! [U: $i] :
( ! [V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ V @ U @ W ) @ X )
<=> ( contains_pq @ ( i @ ( triple @ V @ U @ W ) ) @ X ) )
=> ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ( contains_cpq @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) @ X3 )
<=> ( contains_pq @ ( i @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) ) @ X3 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[63]) ).
thf(65,plain,
( ( ! [U: $i] :
( ! [V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ V @ U @ W ) @ X )
<=> ( contains_pq @ ( i @ ( triple @ V @ U @ W ) ) @ X ) )
=> ! [Y: $i,Z: $i,X1: $i,X2: $i,X3: $i] :
( ( contains_cpq @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) @ X3 )
<=> ( contains_pq @ ( i @ ( triple @ Y @ ( insert_slb @ U @ ( pair @ X1 @ X2 ) ) @ Z ) ) @ X3 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[64]) ).
thf(66,plain,
( ( ! [U: $i,V: $i] :
( ( pi_sharp_remove @ U @ V )
<=> ( contains_pq @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(67,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(68,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(69,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(70,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= U ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(71,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(72,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(73,plain,
( ( ! [U: $i,V: $i,W: $i] : ( isnonempty_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(74,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( contains_pq @ ( insert_pq @ U @ V ) @ W )
<=> ( ( contains_pq @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(75,plain,
( ( ! [U: $i] :
~ ( contains_pq @ create_pq @ U ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(76,plain,
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( contains_cpq @ ( triple @ SY42 @ sK1_U @ SY43 ) @ SY44 )
<=> ( contains_pq @ ( i @ ( triple @ SY42 @ sK1_U @ SY43 ) ) @ SY44 ) )
=> ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 )
<=> ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(77,plain,
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( contains_cpq @ ( triple @ SY42 @ sK1_U @ SY43 ) @ SY44 )
<=> ( contains_pq @ ( i @ ( triple @ SY42 @ sK1_U @ SY43 ) ) @ SY44 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(78,plain,
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 )
<=> ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[76]) ).
thf(79,plain,
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 )
=> ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[78]) ).
thf(80,plain,
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 )
=> ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[78]) ).
thf(81,plain,
( ( ~ ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 )
=> ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[79]) ).
thf(82,plain,
( ( ~ ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 )
=> ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[80]) ).
thf(83,plain,
( ( ! [U: $i] :
~ ( contains_pq @ create_pq @ U ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(84,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( contains_pq @ ( insert_pq @ U @ V ) @ W )
<=> ( ( contains_pq @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(85,plain,
( ( ! [U: $i,V: $i,W: $i] : ( isnonempty_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(86,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(87,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(88,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= U ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(89,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(90,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(91,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(92,plain,
( ( ! [U: $i,V: $i] :
( ( pi_sharp_remove @ U @ V )
<=> ( contains_pq @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(93,plain,
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( contains_cpq @ ( triple @ SY42 @ sK1_U @ SY43 ) @ SY44 )
<=> ( contains_pq @ ( i @ ( triple @ SY42 @ sK1_U @ SY43 ) ) @ SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(94,plain,
( ( ~ ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 )
=> ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(95,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
| ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( pi_sharp_remove @ SX0 @ SX1 )
| ( contains_pq @ SX0 @ SX1 ) )
| ~ ( ~ ( contains_pq @ SX0 @ SX1 )
| ( pi_sharp_remove @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ sK1_U @ SX1 ) @ SX2 )
| ( contains_pq @ ( i @ ( triple @ SX0 @ sK1_U @ SX1 ) ) @ SX2 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SX0 @ sK1_U @ SX1 ) ) @ SX2 )
| ( contains_cpq @ ( triple @ SX0 @ sK1_U @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(98,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SX0 @ SX1 ) @ SX2 )
| ( contains_pq @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_pq @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_pq @ ( insert_pq @ SX0 @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(99,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 @ SX4 )
| ( pair_in_list @ SX0 @ SX2 @ SX4 )
| ~ ( ( SX1 != SX2 )
| ( SX3 != SX4 ) ) )
| ~ ( ~ ( ( pair_in_list @ SX0 @ SX2 @ SX4 )
| ~ ( ( SX1 != SX2 )
| ( SX3 != SX4 ) ) )
| ( pair_in_list @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( contains_slb @ SX1 @ SX3 ) )
| ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(101,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( contains_cpq @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) @ SX4 )
| ( contains_pq @ ( i @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(102,plain,
! [SV1: $i] :
( ( ~ ( contains_pq @ create_pq @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(103,plain,
! [SV2: $i] :
( ( ! [SY50: $i,SY51: $i] : ( isnonempty_slb @ ( insert_slb @ SV2 @ ( pair @ SY50 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(104,plain,
! [SV3: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ( remove_slb @ ( insert_slb @ SV3 @ ( pair @ SY52 @ SY53 ) ) @ SY52 )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(105,plain,
! [SV4: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ( lookup_slb @ ( insert_slb @ SV4 @ ( pair @ SY54 @ SY55 ) ) @ SY54 )
= SY55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(106,plain,
! [SV5: $i] :
( ( ! [SY56: $i,SY57: $i,SY58: $i,SY59: $i] :
( ( i @ ( triple @ SV5 @ ( insert_slb @ SY56 @ ( pair @ SY58 @ SY59 ) ) @ SY57 ) )
= ( insert_pq @ ( i @ ( triple @ SV5 @ SY56 @ SY57 ) ) @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV6: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SY60 @ SY62 ) ) @ SY61 )
| ( contains_slb @ SV6 @ SY61 )
| ( SY60 = SY61 ) )
| ~ ( ~ ( ( contains_slb @ SV6 @ SY61 )
| ( SY60 = SY61 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SY60 @ SY62 ) ) @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV7: $i] :
( ( ! [SY63: $i] :
~ ( ~ ( ~ ( pi_sharp_remove @ SV7 @ SY63 )
| ( contains_pq @ SV7 @ SY63 ) )
| ~ ( ~ ( contains_pq @ SV7 @ SY63 )
| ( pi_sharp_remove @ SV7 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV8: $i] :
( ( ! [SY64: $i,SY65: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SY64 ) @ SY65 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SY64 ) ) @ SY65 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SY64 ) ) @ SY65 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SY64 ) @ SY65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV9: $i] :
( ( ! [SY66: $i,SY67: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SY66 ) @ SY67 )
| ( contains_pq @ SV9 @ SY67 )
| ( SY66 = SY67 ) )
| ~ ( ~ ( ( contains_pq @ SV9 @ SY67 )
| ( SY66 = SY67 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SY66 ) @ SY67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV10: $i] :
( ( ! [SY68: $i,SY69: $i,SY70: $i,SY71: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SY68 @ SY70 ) ) @ SY69 @ SY71 )
| ( pair_in_list @ SV10 @ SY69 @ SY71 )
| ~ ( ( SY68 != SY69 )
| ( SY70 != SY71 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SY69 @ SY71 )
| ~ ( ( SY68 != SY69 )
| ( SY70 != SY71 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SY68 @ SY70 ) ) @ SY69 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV11: $i] :
( ( ! [SY72: $i,SY73: $i,SY74: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SY72 @ SY73 ) @ SY74 )
| ( contains_slb @ SY72 @ SY74 ) )
| ~ ( ~ ( contains_slb @ SY72 @ SY74 )
| ( contains_cpq @ ( triple @ SV11 @ SY72 @ SY73 ) @ SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( contains_cpq @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) @ SX4 )
| ( contains_pq @ ( i @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) ) @ SX4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV1: $i] :
( ( contains_pq @ create_pq @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV12: $i,SV2: $i] :
( ( ! [SY75: $i] : ( isnonempty_slb @ ( insert_slb @ SV2 @ ( pair @ SV12 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV13: $i,SV3: $i] :
( ( ! [SY76: $i] :
( ( remove_slb @ ( insert_slb @ SV3 @ ( pair @ SV13 @ SY76 ) ) @ SV13 )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY77: $i] :
( ( lookup_slb @ ( insert_slb @ SV4 @ ( pair @ SV14 @ SY77 ) ) @ SV14 )
= SY77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(118,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY78: $i,SY79: $i,SY80: $i] :
( ( i @ ( triple @ SV5 @ ( insert_slb @ SV15 @ ( pair @ SY79 @ SY80 ) ) @ SY78 ) )
= ( insert_pq @ ( i @ ( triple @ SV5 @ SV15 @ SY78 ) ) @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(119,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY81: $i,SY82: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SY82 ) ) @ SY81 )
| ( contains_slb @ SV6 @ SY81 )
| ( SV16 = SY81 ) )
| ~ ( ~ ( ( contains_slb @ SV6 @ SY81 )
| ( SV16 = SY81 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SY82 ) ) @ SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(120,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( pi_sharp_remove @ SV7 @ SV17 )
| ( contains_pq @ SV7 @ SV17 ) )
| ~ ( ~ ( contains_pq @ SV7 @ SV17 )
| ( pi_sharp_remove @ SV7 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(121,plain,
! [SV18: $i,SV8: $i] :
( ( ! [SY83: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SY83 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SY83 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SY83 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(122,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY84: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SY84 )
| ( contains_pq @ SV9 @ SY84 )
| ( SV19 = SY84 ) )
| ~ ( ~ ( ( contains_pq @ SV9 @ SY84 )
| ( SV19 = SY84 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SY86 ) ) @ SY85 @ SY87 )
| ( pair_in_list @ SV10 @ SY85 @ SY87 )
| ~ ( ( SV20 != SY85 )
| ( SY86 != SY87 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SY85 @ SY87 )
| ~ ( ( SV20 != SY85 )
| ( SY86 != SY87 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SY86 ) ) @ SY85 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(124,plain,
! [SV21: $i,SV11: $i] :
( ( ! [SY88: $i,SY89: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SY88 ) @ SY89 )
| ( contains_slb @ SV21 @ SY89 ) )
| ~ ( ~ ( contains_slb @ SV21 @ SY89 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SY88 ) @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(125,plain,
( ( ! [SY90: $i,SY91: $i,SY92: $i,SY93: $i] :
( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY91 @ SY92 ) ) @ SY90 ) @ SY93 )
| ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY91 @ SY92 ) ) @ SY90 ) ) @ SY93 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[113]) ).
thf(126,plain,
! [SV22: $i,SV12: $i,SV2: $i] :
( ( isnonempty_slb @ ( insert_slb @ SV2 @ ( pair @ SV12 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(127,plain,
! [SV23: $i,SV13: $i,SV3: $i] :
( ( ( remove_slb @ ( insert_slb @ SV3 @ ( pair @ SV13 @ SV23 ) ) @ SV13 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(128,plain,
! [SV24: $i,SV14: $i,SV4: $i] :
( ( ( lookup_slb @ ( insert_slb @ SV4 @ ( pair @ SV14 @ SV24 ) ) @ SV14 )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV25: $i,SV15: $i,SV5: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ( i @ ( triple @ SV5 @ ( insert_slb @ SV15 @ ( pair @ SY94 @ SY95 ) ) @ SV25 ) )
= ( insert_pq @ ( i @ ( triple @ SV5 @ SV15 @ SV25 ) ) @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(130,plain,
! [SV26: $i,SV16: $i,SV6: $i] :
( ( ! [SY96: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SY96 ) ) @ SV26 )
| ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ~ ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SY96 ) ) @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( ~ ( pi_sharp_remove @ SV7 @ SV17 )
| ( contains_pq @ SV7 @ SV17 ) )
| ~ ( ~ ( contains_pq @ SV7 @ SV17 )
| ( pi_sharp_remove @ SV7 @ SV17 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(132,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
| ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ~ ( ~ ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV29: $i,SV20: $i,SV10: $i] :
( ( ! [SY97: $i,SY98: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SY97 ) ) @ SV29 @ SY98 )
| ( pair_in_list @ SV10 @ SV29 @ SY98 )
| ~ ( ( SV20 != SV29 )
| ( SY97 != SY98 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SY98 )
| ~ ( ( SV20 != SV29 )
| ( SY97 != SY98 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SY97 ) ) @ SV29 @ SY98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV30: $i,SV21: $i,SV11: $i] :
( ( ! [SY99: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SY99 )
| ( contains_slb @ SV21 @ SY99 ) )
| ~ ( ~ ( contains_slb @ SV21 @ SY99 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(136,plain,
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY100 @ SY101 ) ) @ sK3_SY90 ) @ SY102 )
| ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY100 @ SY101 ) ) @ sK3_SY90 ) ) @ SY102 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(137,plain,
! [SV25: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ! [SY103: $i] :
( ( i @ ( triple @ SV5 @ ( insert_slb @ SV15 @ ( pair @ SV31 @ SY103 ) ) @ SV25 ) )
= ( insert_pq @ ( i @ ( triple @ SV5 @ SV15 @ SV25 ) ) @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(138,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
| ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ~ ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( ~ ( pi_sharp_remove @ SV7 @ SV17 )
| ( contains_pq @ SV7 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(140,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( ~ ( contains_pq @ SV7 @ SV17 )
| ( pi_sharp_remove @ SV7 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(141,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
| ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ~ ( ~ ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ! [SY104: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SY104 )
| ( pair_in_list @ SV10 @ SV29 @ SY104 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SY104 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SY104 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SY104 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
| ( contains_slb @ SV21 @ SV34 ) )
| ~ ( ~ ( contains_slb @ SV21 @ SV34 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(145,plain,
( ( ! [SY105: $i,SY106: $i] :
( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ SY105 ) ) @ sK3_SY90 ) @ SY106 )
| ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ SY105 ) ) @ sK3_SY90 ) ) @ SY106 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(146,plain,
! [SV25: $i,SV35: $i,SV31: $i,SV15: $i,SV5: $i] :
( ( ( i @ ( triple @ SV5 @ ( insert_slb @ SV15 @ ( pair @ SV31 @ SV35 ) ) @ SV25 ) )
= ( insert_pq @ ( i @ ( triple @ SV5 @ SV15 @ SV25 ) ) @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
| ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ~ ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( pi_sharp_remove @ SV7 @ SV17 )
| ( contains_pq @ SV7 @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(149,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( contains_pq @ SV7 @ SV17 )
| ( pi_sharp_remove @ SV7 @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(151,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(152,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
| ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(153,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ~ ( ~ ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(154,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
| ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
| ( contains_slb @ SV21 @ SV34 ) )
| ~ ( ~ ( contains_slb @ SV21 @ SV34 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(156,plain,
( ( ! [SY107: $i] :
( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) @ SY107 )
| ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) ) @ SY107 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(157,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
| ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(158,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ~ ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(159,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( pi_sharp_remove @ SV7 @ SV17 ) )
= $true )
| ( ( contains_pq @ SV7 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(160,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( contains_pq @ SV7 @ SV17 ) )
= $true )
| ( ( pi_sharp_remove @ SV7 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
| ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(162,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
| ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
| ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(164,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ~ ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
| ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(165,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
| ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
| ( contains_slb @ SV21 @ SV34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV30: $i,SV11: $i,SV34: $i,SV21: $i] :
( ( ~ ( ~ ( contains_slb @ SV21 @ SV34 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(168,plain,
( ( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) @ sK6_SY107 )
| ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) ) @ sK6_SY107 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[156]) ).
thf(169,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
| ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(170,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
| ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(171,plain,
! [SV17: $i,SV7: $i] :
( ( ( pi_sharp_remove @ SV7 @ SV17 )
= $false )
| ( ( contains_pq @ SV7 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV17: $i,SV7: $i] :
( ( ( contains_pq @ SV7 @ SV17 )
= $false )
| ( ( pi_sharp_remove @ SV7 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(173,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 ) )
= $true )
| ( ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(174,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 ) )
= $true )
| ( ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(176,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ( ~ ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) ) )
= $true )
| ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(177,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
| ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(178,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ~ ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
| ( contains_slb @ SV21 @ SV34 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(180,plain,
! [SV30: $i,SV11: $i,SV34: $i,SV21: $i] :
( ( ~ ( contains_slb @ SV21 @ SV34 )
| ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(181,plain,
( ( ~ ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) @ sK6_SY107 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(182,plain,
( ( contains_pq @ ( i @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) ) @ sK6_SY107 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(183,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 ) )
= $true )
| ( ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ( ~ ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) ) )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
= $false )
| ( ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(186,plain,
! [SV27: $i,SV18: $i,SV8: $i] :
( ( ( contains_pq @ ( i @ ( triple @ SV8 @ sK1_U @ SV18 ) ) @ SV27 )
= $false )
| ( ( contains_cpq @ ( triple @ SV8 @ sK1_U @ SV18 ) @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(187,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $false )
| ( ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(188,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ( ( contains_pq @ SV9 @ SV28 )
| ( SV19 = SV28 ) )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(189,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
| ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(190,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
| ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(191,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 ) )
= $true )
| ( ( contains_slb @ SV21 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(192,plain,
! [SV30: $i,SV11: $i,SV34: $i,SV21: $i] :
( ( ( ~ ( contains_slb @ SV21 @ SV34 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(193,plain,
( ( contains_cpq @ ( triple @ sK2_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK4_SY100 @ sK5_SY105 ) ) @ sK3_SY90 ) @ sK6_SY107 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(194,plain,
! [SV26: $i,SV32: $i,SV16: $i,SV6: $i] :
( ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $false )
| ( ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(195,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ( ( contains_slb @ SV6 @ SV26 )
| ( SV16 = SV26 ) )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(196,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ( contains_pq @ SV9 @ SV28 )
= $true )
| ( ( SV19 = SV28 )
= $true )
| ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(197,plain,
! [SV19: $i,SV28: $i,SV9: $i] :
( ( ( contains_pq @ SV9 @ SV28 )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(198,plain,
! [SV9: $i,SV28: $i,SV19: $i] :
( ( ( SV19 = SV28 )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV9 @ SV19 ) @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(199,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 ) )
= $true )
| ( ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV34: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
= $false )
| ( ( contains_slb @ SV21 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV30: $i,SV11: $i,SV34: $i,SV21: $i] :
( ( ( contains_slb @ SV21 @ SV34 )
= $false )
| ( ( contains_cpq @ ( triple @ SV11 @ SV21 @ SV30 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ( contains_slb @ SV6 @ SV26 )
= $true )
| ( ( SV16 = SV26 )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(204,plain,
! [SV32: $i,SV16: $i,SV26: $i,SV6: $i] :
( ( ( contains_slb @ SV6 @ SV26 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(205,plain,
! [SV32: $i,SV6: $i,SV26: $i,SV16: $i] :
( ( ( SV16 = SV26 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV6 @ ( pair @ SV16 @ SV32 ) ) @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(206,plain,
! [SV36: $i,SV29: $i,SV33: $i,SV20: $i,SV10: $i] :
( ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false )
| ( ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
| ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(208,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(209,plain,
! [SV33: $i,SV20: $i,SV36: $i,SV29: $i,SV10: $i] :
( ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(210,plain,
! [SV10: $i,SV36: $i,SV33: $i,SV29: $i,SV20: $i] :
( ( ( ~ ( ( SV20 != SV29 )
| ( SV33 != SV36 ) ) )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(211,plain,
! [SV10: $i,SV36: $i,SV33: $i,SV29: $i,SV20: $i] :
( ( ( ( SV20 != SV29 )
| ( SV33 != SV36 ) )
= $false )
| ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(212,plain,
! [SV10: $i,SV36: $i,SV33: $i,SV29: $i,SV20: $i] :
( ( ( ( SV20 != SV29 )
| ( SV33 != SV36 ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(213,plain,
! [SV33: $i,SV36: $i,SV10: $i,SV29: $i,SV20: $i] :
( ( ( SV20 != SV29 )
= $false )
| ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(214,plain,
! [SV20: $i,SV29: $i,SV10: $i,SV36: $i,SV33: $i] :
( ( ( SV33 != SV36 )
= $false )
| ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(215,plain,
! [SV10: $i,SV36: $i,SV33: $i,SV29: $i,SV20: $i] :
( ( ( SV20 != SV29 )
= $true )
| ( ( SV33 != SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(216,plain,
! [SV33: $i,SV36: $i,SV10: $i,SV29: $i,SV20: $i] :
( ( ( SV20 = SV29 )
= $true )
| ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(217,plain,
! [SV20: $i,SV29: $i,SV10: $i,SV36: $i,SV33: $i] :
( ( ( SV33 = SV36 )
= $true )
| ( ( pair_in_list @ SV10 @ SV29 @ SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(218,plain,
! [SV10: $i,SV36: $i,SV33: $i,SV29: $i,SV20: $i] :
( ( ( SV20 = SV29 )
= $false )
| ( ( SV33 != SV36 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(219,plain,
! [SV10: $i,SV29: $i,SV20: $i,SV36: $i,SV33: $i] :
( ( ( SV33 = SV36 )
= $false )
| ( ( SV20 = SV29 )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV10 @ ( pair @ SV20 @ SV33 ) ) @ SV29 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(220,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[114,219,217,216,209,205,204,203,202,201,198,197,196,193,186,185,182,172,171,146,128,127,126]) ).
thf(221,plain,
( ( ! [U: $i] :
~ ( contains_pq @ create_pq @ U ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(222,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( contains_pq @ ( insert_pq @ U @ V ) @ W )
<=> ( ( contains_pq @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(223,plain,
( ( ! [U: $i,V: $i,W: $i] : ( isnonempty_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(224,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_slb @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W )
<=> ( ( contains_slb @ U @ W )
| ( V = W ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(225,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( pair_in_list @ ( insert_slb @ U @ ( pair @ V @ X ) ) @ W @ Y )
<=> ( ( pair_in_list @ U @ W @ Y )
| ( ( V = W )
& ( X = Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(226,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( remove_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= U ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(227,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( lookup_slb @ ( insert_slb @ U @ ( pair @ V @ W ) ) @ V )
= W ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(228,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( contains_cpq @ ( triple @ U @ V @ W ) @ X )
<=> ( contains_slb @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(229,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( i @ ( triple @ U @ ( insert_slb @ V @ ( pair @ X @ Y ) ) @ W ) )
= ( insert_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(230,plain,
( ( ! [U: $i,V: $i] :
( ( pi_sharp_remove @ U @ V )
<=> ( contains_pq @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(231,plain,
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( contains_cpq @ ( triple @ SY42 @ sK1_U @ SY43 ) @ SY44 )
<=> ( contains_pq @ ( i @ ( triple @ SY42 @ sK1_U @ SY43 ) ) @ SY44 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(232,plain,
( ( ~ ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i] :
( ( contains_pq @ ( i @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) ) @ SY49 )
=> ( contains_cpq @ ( triple @ SY45 @ ( insert_slb @ sK1_U @ ( pair @ SY47 @ SY48 ) ) @ SY46 ) @ SY49 ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(233,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) ) @ SX4 )
| ( contains_cpq @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(234,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( pi_sharp_remove @ SX0 @ SX1 )
| ( contains_pq @ SX0 @ SX1 ) )
| ~ ( ~ ( contains_pq @ SX0 @ SX1 )
| ( pi_sharp_remove @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 )
| ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_slb @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_slb @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(236,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SX0 @ SX1 ) @ SX2 )
| ( contains_pq @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ~ ( ~ ( ( contains_pq @ SX0 @ SX2 )
| ( SX1 = SX2 ) )
| ( contains_pq @ ( insert_pq @ SX0 @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(237,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 )
| ( contains_slb @ SX1 @ SX3 ) )
| ~ ( ~ ( contains_slb @ SX1 @ SX3 )
| ( contains_cpq @ ( triple @ SX0 @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 @ SX4 )
| ( pair_in_list @ SX0 @ SX2 @ SX4 )
| ~ ( ( SX1 != SX2 )
| ( SX3 != SX4 ) ) )
| ~ ( ~ ( ( pair_in_list @ SX0 @ SX2 @ SX4 )
| ~ ( ( SX1 != SX2 )
| ( SX3 != SX4 ) ) )
| ( pair_in_list @ ( insert_slb @ SX0 @ ( pair @ SX1 @ SX3 ) ) @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SX0 @ sK1_U @ SX1 ) @ SX2 )
| ( contains_pq @ ( i @ ( triple @ SX0 @ sK1_U @ SX1 ) ) @ SX2 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SX0 @ sK1_U @ SX1 ) ) @ SX2 )
| ( contains_cpq @ ( triple @ SX0 @ sK1_U @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(240,plain,
! [SV37: $i] :
( ( ~ ( contains_pq @ create_pq @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(241,plain,
! [SV38: $i] :
( ( ! [SY108: $i,SY109: $i] : ( isnonempty_slb @ ( insert_slb @ SV38 @ ( pair @ SY108 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(242,plain,
! [SV39: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ( remove_slb @ ( insert_slb @ SV39 @ ( pair @ SY110 @ SY111 ) ) @ SY110 )
= SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(243,plain,
! [SV40: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ( lookup_slb @ ( insert_slb @ SV40 @ ( pair @ SY112 @ SY113 ) ) @ SY112 )
= SY113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(244,plain,
! [SV41: $i] :
( ( ! [SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ( i @ ( triple @ SV41 @ ( insert_slb @ SY114 @ ( pair @ SY116 @ SY117 ) ) @ SY115 ) )
= ( insert_pq @ ( i @ ( triple @ SV41 @ SY114 @ SY115 ) ) @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(245,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) ) @ SX4 )
| ( contains_cpq @ ( triple @ SX0 @ ( insert_slb @ sK1_U @ ( pair @ SX2 @ SX3 ) ) @ SX1 ) @ SX4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV42: $i] :
( ( ! [SY118: $i] :
~ ( ~ ( ~ ( pi_sharp_remove @ SV42 @ SY118 )
| ( contains_pq @ SV42 @ SY118 ) )
| ~ ( ~ ( contains_pq @ SV42 @ SY118 )
| ( pi_sharp_remove @ SV42 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV43: $i] :
( ( ! [SY119: $i,SY120: $i,SY121: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SY119 @ SY121 ) ) @ SY120 )
| ( contains_slb @ SV43 @ SY120 )
| ( SY119 = SY120 ) )
| ~ ( ~ ( ( contains_slb @ SV43 @ SY120 )
| ( SY119 = SY120 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SY119 @ SY121 ) ) @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV44: $i] :
( ( ! [SY122: $i,SY123: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SY122 ) @ SY123 )
| ( contains_pq @ SV44 @ SY123 )
| ( SY122 = SY123 ) )
| ~ ( ~ ( ( contains_pq @ SV44 @ SY123 )
| ( SY122 = SY123 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SY122 ) @ SY123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(249,plain,
! [SV45: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SY124 @ SY125 ) @ SY126 )
| ( contains_slb @ SY124 @ SY126 ) )
| ~ ( ~ ( contains_slb @ SY124 @ SY126 )
| ( contains_cpq @ ( triple @ SV45 @ SY124 @ SY125 ) @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV46: $i] :
( ( ! [SY127: $i,SY128: $i,SY129: $i,SY130: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SY127 @ SY129 ) ) @ SY128 @ SY130 )
| ( pair_in_list @ SV46 @ SY128 @ SY130 )
| ~ ( ( SY127 != SY128 )
| ( SY129 != SY130 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SY128 @ SY130 )
| ~ ( ( SY127 != SY128 )
| ( SY129 != SY130 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SY127 @ SY129 ) ) @ SY128 @ SY130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV47: $i] :
( ( ! [SY131: $i,SY132: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SY131 ) @ SY132 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SY131 ) ) @ SY132 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SY131 ) ) @ SY132 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SY131 ) @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV37: $i] :
( ( contains_pq @ create_pq @ SV37 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV48: $i,SV38: $i] :
( ( ! [SY133: $i] : ( isnonempty_slb @ ( insert_slb @ SV38 @ ( pair @ SV48 @ SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV49: $i,SV39: $i] :
( ( ! [SY134: $i] :
( ( remove_slb @ ( insert_slb @ SV39 @ ( pair @ SV49 @ SY134 ) ) @ SV49 )
= SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV50: $i,SV40: $i] :
( ( ! [SY135: $i] :
( ( lookup_slb @ ( insert_slb @ SV40 @ ( pair @ SV50 @ SY135 ) ) @ SV50 )
= SY135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(256,plain,
! [SV51: $i,SV41: $i] :
( ( ! [SY136: $i,SY137: $i,SY138: $i] :
( ( i @ ( triple @ SV41 @ ( insert_slb @ SV51 @ ( pair @ SY137 @ SY138 ) ) @ SY136 ) )
= ( insert_pq @ ( i @ ( triple @ SV41 @ SV51 @ SY136 ) ) @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(257,plain,
( ( ! [SY139: $i,SY140: $i,SY141: $i,SY142: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY140 @ SY141 ) ) @ SY139 ) ) @ SY142 )
| ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY140 @ SY141 ) ) @ SY139 ) @ SY142 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[245]) ).
thf(258,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( ~ ( ~ ( pi_sharp_remove @ SV42 @ SV52 )
| ( contains_pq @ SV42 @ SV52 ) )
| ~ ( ~ ( contains_pq @ SV42 @ SV52 )
| ( pi_sharp_remove @ SV42 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(259,plain,
! [SV53: $i,SV43: $i] :
( ( ! [SY143: $i,SY144: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SY144 ) ) @ SY143 )
| ( contains_slb @ SV43 @ SY143 )
| ( SV53 = SY143 ) )
| ~ ( ~ ( ( contains_slb @ SV43 @ SY143 )
| ( SV53 = SY143 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SY144 ) ) @ SY143 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV54: $i,SV44: $i] :
( ( ! [SY145: $i] :
~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SY145 )
| ( contains_pq @ SV44 @ SY145 )
| ( SV54 = SY145 ) )
| ~ ( ~ ( ( contains_pq @ SV44 @ SY145 )
| ( SV54 = SY145 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SY145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV55: $i,SV45: $i] :
( ( ! [SY146: $i,SY147: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SY146 ) @ SY147 )
| ( contains_slb @ SV55 @ SY147 ) )
| ~ ( ~ ( contains_slb @ SV55 @ SY147 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SY146 ) @ SY147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV56: $i,SV46: $i] :
( ( ! [SY148: $i,SY149: $i,SY150: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SY149 ) ) @ SY148 @ SY150 )
| ( pair_in_list @ SV46 @ SY148 @ SY150 )
| ~ ( ( SV56 != SY148 )
| ( SY149 != SY150 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SY148 @ SY150 )
| ~ ( ( SV56 != SY148 )
| ( SY149 != SY150 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SY149 ) ) @ SY148 @ SY150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV57: $i,SV47: $i] :
( ( ! [SY151: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SY151 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SY151 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SY151 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SY151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV58: $i,SV48: $i,SV38: $i] :
( ( isnonempty_slb @ ( insert_slb @ SV38 @ ( pair @ SV48 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(265,plain,
! [SV59: $i,SV49: $i,SV39: $i] :
( ( ( remove_slb @ ( insert_slb @ SV39 @ ( pair @ SV49 @ SV59 ) ) @ SV49 )
= SV39 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(266,plain,
! [SV60: $i,SV50: $i,SV40: $i] :
( ( ( lookup_slb @ ( insert_slb @ SV40 @ ( pair @ SV50 @ SV60 ) ) @ SV50 )
= SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(267,plain,
! [SV61: $i,SV51: $i,SV41: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ( i @ ( triple @ SV41 @ ( insert_slb @ SV51 @ ( pair @ SY152 @ SY153 ) ) @ SV61 ) )
= ( insert_pq @ ( i @ ( triple @ SV41 @ SV51 @ SV61 ) ) @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(268,plain,
( ( ! [SY154: $i,SY155: $i,SY156: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY154 @ SY155 ) ) @ sK8_SY139 ) ) @ SY156 )
| ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ SY154 @ SY155 ) ) @ sK8_SY139 ) @ SY156 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[257]) ).
thf(269,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( ~ ( pi_sharp_remove @ SV42 @ SV52 )
| ( contains_pq @ SV42 @ SV52 ) )
| ~ ( ~ ( contains_pq @ SV42 @ SV52 )
| ( pi_sharp_remove @ SV42 @ SV52 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(270,plain,
! [SV62: $i,SV53: $i,SV43: $i] :
( ( ! [SY157: $i] :
~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SY157 ) ) @ SV62 )
| ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ~ ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SY157 ) ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(271,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ~ ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
| ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ~ ( ~ ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(272,plain,
! [SV64: $i,SV55: $i,SV45: $i] :
( ( ! [SY158: $i] :
~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SY158 )
| ( contains_slb @ SV55 @ SY158 ) )
| ~ ( ~ ( contains_slb @ SV55 @ SY158 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SY158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV65: $i,SV56: $i,SV46: $i] :
( ( ! [SY159: $i,SY160: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SY159 ) ) @ SV65 @ SY160 )
| ( pair_in_list @ SV46 @ SV65 @ SY160 )
| ~ ( ( SV56 != SV65 )
| ( SY159 != SY160 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SY160 )
| ~ ( ( SV56 != SV65 )
| ( SY159 != SY160 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SY159 ) ) @ SV65 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(275,plain,
! [SV61: $i,SV67: $i,SV51: $i,SV41: $i] :
( ( ! [SY161: $i] :
( ( i @ ( triple @ SV41 @ ( insert_slb @ SV51 @ ( pair @ SV67 @ SY161 ) ) @ SV61 ) )
= ( insert_pq @ ( i @ ( triple @ SV41 @ SV51 @ SV61 ) ) @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(276,plain,
( ( ! [SY162: $i,SY163: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ SY162 ) ) @ sK8_SY139 ) ) @ SY163 )
| ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ SY162 ) ) @ sK8_SY139 ) @ SY163 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[268]) ).
thf(277,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( ~ ( pi_sharp_remove @ SV42 @ SV52 )
| ( contains_pq @ SV42 @ SV52 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(278,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( ~ ( contains_pq @ SV42 @ SV52 )
| ( pi_sharp_remove @ SV42 @ SV52 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(279,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ~ ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
| ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ~ ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(280,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
| ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ~ ( ~ ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ~ ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
| ( contains_slb @ SV55 @ SV69 ) )
| ~ ( ~ ( contains_slb @ SV55 @ SV69 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(282,plain,
! [SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ! [SY164: $i] :
~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SY164 )
| ( pair_in_list @ SV46 @ SV65 @ SY164 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SY164 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SY164 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SY164 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SY164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 ) )
| ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV61: $i,SV71: $i,SV67: $i,SV51: $i,SV41: $i] :
( ( ( i @ ( triple @ SV41 @ ( insert_slb @ SV51 @ ( pair @ SV67 @ SV71 ) ) @ SV61 ) )
= ( insert_pq @ ( i @ ( triple @ SV41 @ SV51 @ SV61 ) ) @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(285,plain,
( ( ! [SY165: $i] :
( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) ) @ SY165 )
| ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) @ SY165 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[276]) ).
thf(286,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( pi_sharp_remove @ SV42 @ SV52 )
| ( contains_pq @ SV42 @ SV52 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(287,plain,
! [SV52: $i,SV42: $i] :
( ( ~ ( contains_pq @ SV42 @ SV52 )
| ( pi_sharp_remove @ SV42 @ SV52 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(288,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
| ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ~ ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(289,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ~ ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
| ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(290,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ~ ( ~ ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(291,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
| ( contains_slb @ SV55 @ SV69 ) )
| ~ ( ~ ( contains_slb @ SV55 @ SV69 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(292,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ~ ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
| ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(293,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(294,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(295,plain,
( ( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) ) @ sK11_SY165 )
| ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) @ sK11_SY165 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[285]) ).
thf(296,plain,
! [SV52: $i,SV42: $i] :
( ( ( ~ ( pi_sharp_remove @ SV42 @ SV52 ) )
= $true )
| ( ( contains_pq @ SV42 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(297,plain,
! [SV52: $i,SV42: $i] :
( ( ( ~ ( contains_pq @ SV42 @ SV52 ) )
= $true )
| ( ( pi_sharp_remove @ SV42 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(298,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ~ ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
| ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(299,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ~ ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(300,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
| ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(301,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ~ ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
| ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(302,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ~ ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
| ( contains_slb @ SV55 @ SV69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(303,plain,
! [SV64: $i,SV45: $i,SV69: $i,SV55: $i] :
( ( ~ ( ~ ( contains_slb @ SV55 @ SV69 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(304,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
| ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ~ ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(305,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
| ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(306,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
| ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(307,plain,
( ( ~ ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) ) @ sK11_SY165 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(308,plain,
( ( contains_cpq @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) @ sK11_SY165 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(309,plain,
! [SV52: $i,SV42: $i] :
( ( ( pi_sharp_remove @ SV42 @ SV52 )
= $false )
| ( ( contains_pq @ SV42 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(310,plain,
! [SV52: $i,SV42: $i] :
( ( ( contains_pq @ SV42 @ SV52 )
= $false )
| ( ( pi_sharp_remove @ SV42 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(311,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
| ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(312,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
| ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(313,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ( ~ ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 ) )
= $true )
| ( ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(314,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ( ~ ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) ) )
= $true )
| ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(315,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
| ( contains_slb @ SV55 @ SV69 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(316,plain,
! [SV64: $i,SV45: $i,SV69: $i,SV55: $i] :
( ( ~ ( contains_slb @ SV55 @ SV69 )
| ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(317,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ~ ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
| ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(318,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ~ ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(319,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 ) )
= $true )
| ( ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(320,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ( ~ ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(321,plain,
( ( contains_pq @ ( i @ ( triple @ sK7_SX0 @ ( insert_slb @ sK1_U @ ( pair @ sK9_SY154 @ sK10_SY162 ) ) @ sK8_SY139 ) ) @ sK11_SY165 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(322,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ( ~ ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 ) )
= $true )
| ( ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(323,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ( ~ ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) ) )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(324,plain,
! [SV63: $i,SV54: $i,SV44: $i] :
( ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $false )
| ( ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(325,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ( ( contains_pq @ SV44 @ SV63 )
| ( SV54 = SV63 ) )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(326,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ( ~ ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 ) )
= $true )
| ( ( contains_slb @ SV55 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(327,plain,
! [SV64: $i,SV45: $i,SV69: $i,SV55: $i] :
( ( ( ~ ( contains_slb @ SV55 @ SV69 ) )
= $true )
| ( ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(328,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
| ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(329,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
| ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(330,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
= $false )
| ( ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(331,plain,
! [SV66: $i,SV57: $i,SV47: $i] :
( ( ( contains_pq @ ( i @ ( triple @ SV47 @ sK1_U @ SV57 ) ) @ SV66 )
= $false )
| ( ( contains_cpq @ ( triple @ SV47 @ sK1_U @ SV57 ) @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(332,plain,
! [SV62: $i,SV68: $i,SV53: $i,SV43: $i] :
( ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $false )
| ( ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(333,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ( ( contains_slb @ SV43 @ SV62 )
| ( SV53 = SV62 ) )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(334,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ( contains_pq @ SV44 @ SV63 )
= $true )
| ( ( SV54 = SV63 )
= $true )
| ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(335,plain,
! [SV54: $i,SV63: $i,SV44: $i] :
( ( ( contains_pq @ SV44 @ SV63 )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(336,plain,
! [SV44: $i,SV63: $i,SV54: $i] :
( ( ( SV54 = SV63 )
= $false )
| ( ( contains_pq @ ( insert_pq @ SV44 @ SV54 ) @ SV63 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[325]) ).
thf(337,plain,
! [SV69: $i,SV64: $i,SV55: $i,SV45: $i] :
( ( ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
= $false )
| ( ( contains_slb @ SV55 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(338,plain,
! [SV64: $i,SV45: $i,SV69: $i,SV55: $i] :
( ( ( contains_slb @ SV55 @ SV69 )
= $false )
| ( ( contains_cpq @ ( triple @ SV45 @ SV55 @ SV64 ) @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(339,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ( ~ ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 ) )
= $true )
| ( ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(340,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ( ~ ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(341,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ( contains_slb @ SV43 @ SV62 )
= $true )
| ( ( SV53 = SV62 )
= $true )
| ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(342,plain,
! [SV68: $i,SV53: $i,SV62: $i,SV43: $i] :
( ( ( contains_slb @ SV43 @ SV62 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(343,plain,
! [SV68: $i,SV43: $i,SV62: $i,SV53: $i] :
( ( ( SV53 = SV62 )
= $false )
| ( ( contains_slb @ ( insert_slb @ SV43 @ ( pair @ SV53 @ SV68 ) ) @ SV62 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(344,plain,
! [SV72: $i,SV65: $i,SV70: $i,SV56: $i,SV46: $i] :
( ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false )
| ( ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(345,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
| ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(346,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(347,plain,
! [SV70: $i,SV56: $i,SV72: $i,SV65: $i,SV46: $i] :
( ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(348,plain,
! [SV46: $i,SV72: $i,SV70: $i,SV65: $i,SV56: $i] :
( ( ( ~ ( ( SV56 != SV65 )
| ( SV70 != SV72 ) ) )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(349,plain,
! [SV46: $i,SV72: $i,SV70: $i,SV65: $i,SV56: $i] :
( ( ( ( SV56 != SV65 )
| ( SV70 != SV72 ) )
= $false )
| ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(350,plain,
! [SV46: $i,SV72: $i,SV70: $i,SV65: $i,SV56: $i] :
( ( ( ( SV56 != SV65 )
| ( SV70 != SV72 ) )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(351,plain,
! [SV70: $i,SV72: $i,SV46: $i,SV65: $i,SV56: $i] :
( ( ( SV56 != SV65 )
= $false )
| ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(352,plain,
! [SV56: $i,SV65: $i,SV46: $i,SV72: $i,SV70: $i] :
( ( ( SV70 != SV72 )
= $false )
| ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(353,plain,
! [SV46: $i,SV72: $i,SV70: $i,SV65: $i,SV56: $i] :
( ( ( SV56 != SV65 )
= $true )
| ( ( SV70 != SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(354,plain,
! [SV70: $i,SV72: $i,SV46: $i,SV65: $i,SV56: $i] :
( ( ( SV56 = SV65 )
= $true )
| ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(355,plain,
! [SV56: $i,SV65: $i,SV46: $i,SV72: $i,SV70: $i] :
( ( ( SV70 = SV72 )
= $true )
| ( ( pair_in_list @ SV46 @ SV65 @ SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(356,plain,
! [SV46: $i,SV72: $i,SV70: $i,SV65: $i,SV56: $i] :
( ( ( SV56 = SV65 )
= $false )
| ( ( SV70 != SV72 )
= $true )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(357,plain,
! [SV46: $i,SV65: $i,SV56: $i,SV72: $i,SV70: $i] :
( ( ( SV70 = SV72 )
= $false )
| ( ( SV56 = SV65 )
= $false )
| ( ( pair_in_list @ ( insert_slb @ SV46 @ ( pair @ SV56 @ SV70 ) ) @ SV65 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(358,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[252,357,355,354,347,343,342,341,338,337,336,335,334,331,330,321,310,309,308,284,266,265,264]) ).
thf(359,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[358,220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV370+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 16:27:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/0.42
% 1.20/0.42 No.of.Axioms: 10
% 1.20/0.42
% 1.20/0.42 Length.of.Defs: 0
% 1.20/0.42
% 1.20/0.42 Contains.Choice.Funs: false
% 1.20/0.42 .............
% 1.20/0.42
% 1.20/0.42 ********************************
% 1.20/0.42 * All subproblems solved! *
% 1.20/0.42 ********************************
% 1.20/0.42 % 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:358,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.20/0.42
% 1.20/0.42 %**** Beginning of derivation protocol ****
% 1.20/0.42 % SZS output start CNFRefutation
% See solution above
% 1.20/0.42
% 1.20/0.42 %**** End of derivation protocol ****
% 1.20/0.42 %**** no. of clauses in derivation: 307 ****
% 1.20/0.42 %**** clause counter: 358 ****
% 1.20/0.42
% 1.20/0.42 % 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:358,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------