TSTP Solution File: GEO081+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:06:53 EDT 2022
% Result : Theorem 0.42s 0.64s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 41
% Syntax : Number of formulae : 458 ( 184 unt; 24 typ; 0 def)
% Number of atoms : 3957 (1097 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 8609 (1524 ~;1551 |; 102 &;5384 @)
% ( 18 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 1437 ( 0 ^1419 !; 18 ?;1437 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_closed,type,
closed: $i > $o ).
thf(tp_end_point,type,
end_point: $i > $i > $o ).
thf(tp_incident_c,type,
incident_c: $i > $i > $o ).
thf(tp_inner_point,type,
inner_point: $i > $i > $o ).
thf(tp_meet,type,
meet: $i > $i > $i > $o ).
thf(tp_open,type,
open: $i > $o ).
thf(tp_part_of,type,
part_of: $i > $i > $o ).
thf(tp_sK10_P,type,
sK10_P: $i > $i ).
thf(tp_sK11_P,type,
sK11_P: $i > $i ).
thf(tp_sK12_Q,type,
sK12_Q: $i > $i > $i > $i ).
thf(tp_sK13_C1,type,
sK13_C1: $i > $i > $i ).
thf(tp_sK14_SY60,type,
sK14_SY60: $i > $i > $i ).
thf(tp_sK15_Q,type,
sK15_Q: $i > $i > $i > $i ).
thf(tp_sK16_P,type,
sK16_P: $i > $i > $i ).
thf(tp_sK1_C1,type,
sK1_C1: $i ).
thf(tp_sK2_SY56,type,
sK2_SY56: $i ).
thf(tp_sK3_SY58,type,
sK3_SY58: $i ).
thf(tp_sK4_P,type,
sK4_P: $i > $i > $i ).
thf(tp_sK5_C,type,
sK5_C: $i > $i > $i ).
thf(tp_sK6_Q,type,
sK6_Q: $i > $i > $i ).
thf(tp_sK7_C1,type,
sK7_C1: $i > $i > $i ).
thf(tp_sK8_SY59,type,
sK8_SY59: $i > $i > $i ).
thf(tp_sK9_P,type,
sK9_P: $i > $i ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(1,axiom,
! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
thf(2,axiom,
! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
thf(3,axiom,
! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( closed @ C )
& ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) )
=> ! [Q: $i] :
( ( end_point @ Q @ C1 )
=> ( meet @ Q @ C1 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
thf(4,axiom,
! [C: $i,P: $i] :
( ( end_point @ P @ C )
=> ? [Q: $i] :
( ( end_point @ Q @ C )
& ( P != Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
thf(5,axiom,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( ( end_point @ P @ C )
& ( end_point @ Q @ C )
& ( end_point @ R @ C ) )
=> ( ( P = Q )
| ( P = R )
| ( Q = R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
thf(6,axiom,
! [C: $i,P: $i] :
( ( inner_point @ P @ C )
=> ? [C1: $i,C2: $i] :
( ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
thf(7,axiom,
! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
thf(8,axiom,
! [C: $i,C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( part_of @ C3 @ C )
& ? [P: $i] :
( ( end_point @ P @ C1 )
& ( end_point @ P @ C2 )
& ( end_point @ P @ C3 ) ) )
=> ( ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C3 @ C1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
thf(9,axiom,
! [C: $i,C1: $i] :
( ( ( part_of @ C1 @ C )
& ( C1 != C ) )
=> ( open @ C1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
thf(10,axiom,
! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn) ).
thf(11,axiom,
! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn) ).
thf(12,axiom,
! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn) ).
thf(13,axiom,
! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
thf(14,axiom,
! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).
thf(15,axiom,
! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn) ).
thf(16,axiom,
! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
thf(17,conjecture,
! [C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C2 )
& ( part_of @ C2 @ C3 ) )
=> ( part_of @ C1 @ C3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
thf(18,negated_conjecture,
( ( ! [C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C2 )
& ( part_of @ C2 @ C3 ) )
=> ( part_of @ C1 @ C3 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[17]) ).
thf(19,plain,
( ( ! [C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C2 )
& ( part_of @ C2 @ C3 ) )
=> ( part_of @ C1 @ C3 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( closed @ C )
& ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) )
=> ! [Q: $i] :
( ( end_point @ Q @ C1 )
=> ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [C: $i,P: $i] :
( ( end_point @ P @ C )
=> ? [Q: $i] :
( ( end_point @ Q @ C )
& ( P != Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( ( end_point @ P @ C )
& ( end_point @ Q @ C )
& ( end_point @ R @ C ) )
=> ( ( P = Q )
| ( P = R )
| ( Q = R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [C: $i,P: $i] :
( ( inner_point @ P @ C )
=> ? [C1: $i,C2: $i] :
( ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( part_of @ C3 @ C )
& ? [P: $i] :
( ( end_point @ P @ C1 )
& ( end_point @ P @ C2 )
& ( end_point @ P @ C3 ) ) )
=> ( ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C3 @ C1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ! [C: $i,C1: $i] :
( ( ( part_of @ C1 @ C )
& ( C1 != C ) )
=> ( open @ C1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(36,plain,
( ( ! [SY56: $i,SY57: $i] :
( ( ( part_of @ sK1_C1 @ SY56 )
& ( part_of @ SY56 @ SY57 ) )
=> ( part_of @ sK1_C1 @ SY57 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(37,plain,
( ( ! [SY58: $i] :
( ( ( part_of @ sK1_C1 @ sK2_SY56 )
& ( part_of @ sK2_SY56 @ SY58 ) )
=> ( part_of @ sK1_C1 @ SY58 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[36]) ).
thf(38,plain,
( ( ( ( part_of @ sK1_C1 @ sK2_SY56 )
& ( part_of @ sK2_SY56 @ sK3_SY58 ) )
=> ( part_of @ sK1_C1 @ sK3_SY58 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(39,plain,
( ( part_of @ sK1_C1 @ sK2_SY56 )
= $true ),
inference(standard_cnf,[status(thm)],[38]) ).
thf(40,plain,
( ( part_of @ sK2_SY56 @ sK3_SY58 )
= $true ),
inference(standard_cnf,[status(thm)],[38]) ).
thf(41,plain,
( ( part_of @ sK1_C1 @ sK3_SY58 )
= $false ),
inference(standard_cnf,[status(thm)],[38]) ).
thf(42,plain,
( ( ~ ( part_of @ sK1_C1 @ sK3_SY58 ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(43,plain,
( ( ! [C: $i,C1: $i] :
( ( ( ~ ( incident_c @ ( sK4_P @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK4_P @ C1 @ C ) @ C1 ) )
& ( ( incident_c @ ( sK4_P @ C1 @ C ) @ C )
| ( incident_c @ ( sK4_P @ C1 @ C ) @ C1 ) ) )
| ( C = C1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(44,plain,
( ( ! [C1: $i,C2: $i] :
( ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( ( sK5_C @ C2 @ C1 )
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(45,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( C
!= ( sum @ C1 @ C2 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ C1 )
| ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(46,plain,
( ( ! [C: $i,P: $i] :
( ~ ( end_point @ P @ C )
| ( ( P
!= ( sK6_Q @ P @ C ) )
& ( end_point @ ( sK6_Q @ P @ C ) @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(47,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ~ ( end_point @ P @ C )
| ~ ( end_point @ Q @ C )
| ~ ( end_point @ R @ C )
| ( Q = R )
| ( P = Q )
| ( P = R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(48,plain,
( ( ! [C: $i,P: $i] :
( ~ ( inner_point @ P @ C )
| ( ( C
= ( sum @ ( sK7_C1 @ P @ C ) @ ( sK8_SY59 @ P @ C ) ) )
& ( meet @ P @ ( sK7_C1 @ P @ C ) @ ( sK8_SY59 @ P @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(49,plain,
( ( ! [C: $i] : ( inner_point @ ( sK9_P @ C ) @ C ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(50,plain,
( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
( ~ ( part_of @ C1 @ C )
| ~ ( part_of @ C2 @ C )
| ~ ( part_of @ C3 @ C )
| ! [P: $i] :
( ~ ( end_point @ P @ C1 )
| ~ ( end_point @ P @ C2 )
| ~ ( end_point @ P @ C3 ) )
| ( part_of @ C3 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(51,plain,
( ( ! [C: $i,C1: $i] :
( ( C1 = C )
| ~ ( part_of @ C1 @ C )
| ( open @ C1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(52,plain,
( ( ! [C: $i] :
( ! [P: $i] :
~ ( end_point @ P @ C )
| ( open @ C ) )
& ! [C: $i] :
( ~ ( open @ C )
| ( end_point @ ( sK10_P @ C ) @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(53,plain,
( ( ! [C: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( end_point @ P @ C ) )
& ! [C: $i] :
( ( end_point @ ( sK11_P @ C ) @ C )
| ( closed @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(54,plain,
( ( ! [P: $i] :
( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK12_Q @ C1 @ C @ P ) @ C )
& ( incident_c @ ( sK12_Q @ C1 @ C @ P ) @ C1 )
& ( ~ ( end_point @ ( sK12_Q @ C1 @ C @ P ) @ C )
| ~ ( end_point @ ( sK12_Q @ C1 @ C @ P ) @ C1 ) ) )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ P @ C1 )
| ( meet @ P @ C @ C1 ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C1 ) ) ) )
& ! [C: $i] :
( ! [C1: $i] :
~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(55,plain,
( ( ! [P: $i,C: $i] :
( ~ ( incident_c @ P @ C )
| ( end_point @ P @ C )
| ( inner_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ( incident_c @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ~ ( end_point @ P @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(56,plain,
( ( ! [P: $i,C: $i] :
( ( ( part_of @ ( sK13_C1 @ C @ P ) @ C )
& ( part_of @ ( sK14_SY60 @ C @ P ) @ C )
& ( incident_c @ P @ ( sK13_C1 @ C @ P ) )
& ( incident_c @ P @ ( sK14_SY60 @ C @ P ) )
& ~ ( part_of @ ( sK13_C1 @ C @ P ) @ ( sK14_SY60 @ C @ P ) )
& ~ ( part_of @ ( sK14_SY60 @ C @ P ) @ ( sK13_C1 @ C @ P ) ) )
| ~ ( incident_c @ P @ C )
| ( end_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ! [C1: $i,C2: $i] :
( ~ ( part_of @ C1 @ C )
| ~ ( part_of @ C2 @ C )
| ~ ( incident_c @ P @ C1 )
| ~ ( incident_c @ P @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ( incident_c @ P @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(57,plain,
( ( ! [C: $i] :
( ! [C1: $i,C2: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C1 ) )
& ( ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C2 ) )
& ( ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C1 )
| ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C2 ) ) )
| ( C
= ( sum @ C1 @ C2 ) ) )
& ! [C1: $i,C2: $i] :
( ( C
!= ( sum @ C1 @ C2 ) )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C2 )
| ( incident_c @ Q @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(58,plain,
( ( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 )
& ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C ) )
| ( part_of @ C1 @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( part_of @ C1 @ C )
| ! [P: $i] :
( ~ ( incident_c @ P @ C1 )
| ( incident_c @ P @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(59,plain,
( ( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 )
& ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C ) )
| ( part_of @ C1 @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( part_of @ C1 @ C )
| ! [P: $i] :
( ~ ( incident_c @ P @ C1 )
| ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(60,plain,
( ( ! [C: $i] :
( ! [C1: $i,C2: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C1 ) )
& ( ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C2 ) )
& ( ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C )
| ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C1 )
| ( incident_c @ ( sK15_Q @ C2 @ C1 @ C ) @ C2 ) ) )
| ( C
= ( sum @ C1 @ C2 ) ) )
& ! [C1: $i,C2: $i] :
( ( C
!= ( sum @ C1 @ C2 ) )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C2 )
| ( incident_c @ Q @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(61,plain,
( ( ! [P: $i,C: $i] :
( ( ( part_of @ ( sK13_C1 @ C @ P ) @ C )
& ( part_of @ ( sK14_SY60 @ C @ P ) @ C )
& ( incident_c @ P @ ( sK13_C1 @ C @ P ) )
& ( incident_c @ P @ ( sK14_SY60 @ C @ P ) )
& ~ ( part_of @ ( sK13_C1 @ C @ P ) @ ( sK14_SY60 @ C @ P ) )
& ~ ( part_of @ ( sK14_SY60 @ C @ P ) @ ( sK13_C1 @ C @ P ) ) )
| ~ ( incident_c @ P @ C )
| ( end_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ! [C1: $i,C2: $i] :
( ~ ( part_of @ C1 @ C )
| ~ ( part_of @ C2 @ C )
| ~ ( incident_c @ P @ C1 )
| ~ ( incident_c @ P @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ( incident_c @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(62,plain,
( ( ! [P: $i,C: $i] :
( ~ ( incident_c @ P @ C )
| ( end_point @ P @ C )
| ( inner_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ( incident_c @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ~ ( end_point @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(63,plain,
( ( ! [P: $i] :
( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK12_Q @ C1 @ C @ P ) @ C )
& ( incident_c @ ( sK12_Q @ C1 @ C @ P ) @ C1 )
& ( ~ ( end_point @ ( sK12_Q @ C1 @ C @ P ) @ C )
| ~ ( end_point @ ( sK12_Q @ C1 @ C @ P ) @ C1 ) ) )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ P @ C1 )
| ( meet @ P @ C @ C1 ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C1 ) ) ) )
& ! [C: $i] :
( ! [C1: $i] :
~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(64,plain,
( ( ! [C: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( end_point @ P @ C ) )
& ! [C: $i] :
( ( end_point @ ( sK11_P @ C ) @ C )
| ( closed @ C ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(65,plain,
( ( ! [C: $i] :
( ! [P: $i] :
~ ( end_point @ P @ C )
| ( open @ C ) )
& ! [C: $i] :
( ~ ( open @ C )
| ( end_point @ ( sK10_P @ C ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(66,plain,
( ( ! [C: $i,C1: $i] :
( ( C1 = C )
| ~ ( part_of @ C1 @ C )
| ( open @ C1 ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(67,plain,
( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
( ~ ( part_of @ C1 @ C )
| ~ ( part_of @ C2 @ C )
| ~ ( part_of @ C3 @ C )
| ! [P: $i] :
( ~ ( end_point @ P @ C1 )
| ~ ( end_point @ P @ C2 )
| ~ ( end_point @ P @ C3 ) )
| ( part_of @ C3 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(68,plain,
( ( ! [C: $i] : ( inner_point @ ( sK9_P @ C ) @ C ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(69,plain,
( ( ! [C: $i,P: $i] :
( ~ ( inner_point @ P @ C )
| ( ( C
= ( sum @ ( sK7_C1 @ P @ C ) @ ( sK8_SY59 @ P @ C ) ) )
& ( meet @ P @ ( sK7_C1 @ P @ C ) @ ( sK8_SY59 @ P @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(70,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ~ ( end_point @ P @ C )
| ~ ( end_point @ Q @ C )
| ~ ( end_point @ R @ C )
| ( Q = R )
| ( P = Q )
| ( P = R ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(71,plain,
( ( ! [C: $i,P: $i] :
( ~ ( end_point @ P @ C )
| ( ( P
!= ( sK6_Q @ P @ C ) )
& ( end_point @ ( sK6_Q @ P @ C ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(72,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( C
!= ( sum @ C1 @ C2 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ C1 )
| ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(73,plain,
( ( ! [C1: $i,C2: $i] :
( ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( ( sK5_C @ C2 @ C1 )
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(74,plain,
( ( ! [C: $i,C1: $i] :
( ( ( ~ ( incident_c @ ( sK4_P @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK4_P @ C1 @ C ) @ C1 ) )
& ( ( incident_c @ ( sK4_P @ C1 @ C ) @ C )
| ( incident_c @ ( sK4_P @ C1 @ C ) @ C1 ) ) )
| ( C = C1 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(75,plain,
( ( part_of @ sK2_SY56 @ sK3_SY58 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(76,plain,
( ( part_of @ sK1_C1 @ sK2_SY56 )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(77,plain,
( ( ~ ( part_of @ sK1_C1 @ sK3_SY58 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(78,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK11_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(79,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK10_P @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX1 @ SX0 )
| ~ ( ~ ( ( SX1
!= ( sK6_Q @ SX1 @ SX0 ) ) )
| ~ ( end_point @ ( sK6_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK4_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK4_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK4_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK4_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(82,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK13_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK14_SY60 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ ( sK14_SY60 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ ( sK13_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(83,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(84,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( incident_c @ ( sK15_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0
= ( sum @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX2 )
| ( incident_c @ SX3 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(85,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( incident_c @ ( sK12_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( end_point @ ( sK12_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ( meet @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX1 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(86,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX1 @ SX0 )
| ~ ( ( SX0
!= ( sum @ ( sK7_C1 @ SX1 @ SX0 ) @ ( sK8_SY59 @ SX1 @ SX0 ) ) )
| ~ ( meet @ SX1 @ ( sK7_C1 @ SX1 @ SX0 ) @ ( sK8_SY59 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(87,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(88,plain,
! [SV1: $i] :
( ( ! [SY61: $i] :
( ( SY61 = SV1 )
| ~ ( part_of @ SY61 @ SV1 )
| ( open @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(89,plain,
! [SV2: $i] :
( ( ! [SY62: $i,SY63: $i,SY64: $i] :
( ~ ( part_of @ SY62 @ SV2 )
| ~ ( part_of @ SY63 @ SV2 )
| ~ ( part_of @ SY64 @ SV2 )
| ! [P: $i] :
( ~ ( end_point @ P @ SY62 )
| ~ ( end_point @ P @ SY63 )
| ~ ( end_point @ P @ SY64 ) )
| ( part_of @ SY64 @ SY62 )
| ( part_of @ SY62 @ SY64 )
| ( part_of @ SY63 @ SY62 )
| ( part_of @ SY62 @ SY63 )
| ( part_of @ SY63 @ SY64 )
| ( part_of @ SY64 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(90,plain,
! [SV3: $i] :
( ( inner_point @ ( sK9_P @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(91,plain,
! [SV4: $i] :
( ( ! [SY66: $i,SY67: $i,SY68: $i] :
( ~ ( end_point @ SY66 @ SV4 )
| ~ ( end_point @ SY67 @ SV4 )
| ~ ( end_point @ SY68 @ SV4 )
| ( SY67 = SY68 )
| ( SY66 = SY67 )
| ( SY66 = SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(92,plain,
! [SV5: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ( closed @ SV5 )
| ! [P: $i] :
~ ( meet @ P @ SY69 @ SY70 )
| ( SV5
!= ( sum @ SY69 @ SY70 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ SY69 )
| ( meet @ Q @ SY69 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(93,plain,
! [SV6: $i] :
( ( ! [SY73: $i] :
( ! [SY74: $i] :
~ ( meet @ SY74 @ SV6 @ SY73 )
| ( ( sK5_C @ SY73 @ SV6 )
= ( sum @ SV6 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(94,plain,
( ( part_of @ sK1_C1 @ sK3_SY58 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(95,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK11_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(96,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK10_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(97,plain,
! [SV7: $i] :
( ( ! [SY75: $i] :
( ~ ( end_point @ SY75 @ SV7 )
| ~ ( ~ ( ( SY75
!= ( sK6_Q @ SY75 @ SV7 ) ) )
| ~ ( end_point @ ( sK6_Q @ SY75 @ SV7 ) @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(98,plain,
! [SV8: $i] :
( ( ! [SY76: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK4_P @ SY76 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SY76 @ SV8 ) @ SY76 ) )
| ~ ( ( incident_c @ ( sK4_P @ SY76 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SY76 @ SV8 ) @ SY76 ) ) )
| ( SV8 = SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(99,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK13_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK14_SY60 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ ( sK14_SY60 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ ( sK13_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(100,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(101,plain,
! [SV9: $i] :
( ( ~ ( ~ ! [SY77: $i,SY78: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ( SV9
= ( sum @ SY77 @ SY78 ) ) )
| ~ ! [SY79: $i,SY80: $i] :
( ( SV9
!= ( sum @ SY79 @ SY80 ) )
| ~ ( ~ ! [SY81: $i] :
( ~ ( incident_c @ SY81 @ SV9 )
| ( incident_c @ SY81 @ SY79 )
| ( incident_c @ SY81 @ SY80 ) )
| ~ ~ ( ~ ! [SY82: $i] :
( ~ ( incident_c @ SY82 @ SY79 )
| ( incident_c @ SY82 @ SV9 ) )
| ~ ! [SY83: $i] :
( ~ ( incident_c @ SY83 @ SY80 )
| ( incident_c @ SY83 @ SV9 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(102,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY84: $i,SY85: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) ) )
| ~ ( incident_c @ SV10 @ SY84 )
| ~ ( incident_c @ SV10 @ SY85 )
| ( meet @ SV10 @ SY84 @ SY85 ) )
| ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(103,plain,
! [SV11: $i] :
( ( ! [SY94: $i] :
( ~ ( inner_point @ SY94 @ SV11 )
| ~ ( ( SV11
!= ( sum @ ( sK7_C1 @ SY94 @ SV11 ) @ ( sK8_SY59 @ SY94 @ SV11 ) ) )
| ~ ( meet @ SY94 @ ( sK7_C1 @ SY94 @ SV11 ) @ ( sK8_SY59 @ SY94 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(104,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(105,plain,
! [SV1: $i,SV12: $i] :
( ( ( SV12 = SV1 )
| ~ ( part_of @ SV12 @ SV1 )
| ( open @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(106,plain,
! [SV2: $i,SV13: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SY95 @ SV2 )
| ~ ( part_of @ SY96 @ SV2 )
| ! [SY97: $i] :
( ~ ( end_point @ SY97 @ SV13 )
| ~ ( end_point @ SY97 @ SY95 )
| ~ ( end_point @ SY97 @ SY96 ) )
| ( part_of @ SY96 @ SV13 )
| ( part_of @ SV13 @ SY96 )
| ( part_of @ SY95 @ SV13 )
| ( part_of @ SV13 @ SY95 )
| ( part_of @ SY95 @ SY96 )
| ( part_of @ SY96 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(107,plain,
! [SV4: $i,SV14: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ~ ( end_point @ SV14 @ SV4 )
| ~ ( end_point @ SY98 @ SV4 )
| ~ ( end_point @ SY99 @ SV4 )
| ( SY98 = SY99 )
| ( SV14 = SY98 )
| ( SV14 = SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(108,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY100: $i] :
( ~ ( closed @ SV5 )
| ! [SY101: $i] :
~ ( meet @ SY101 @ SV15 @ SY100 )
| ( SV5
!= ( sum @ SV15 @ SY100 ) )
| ! [SY102: $i] :
( ~ ( end_point @ SY102 @ SV15 )
| ( meet @ SY102 @ SV15 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(109,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY103: $i] :
~ ( meet @ SY103 @ SV6 @ SV16 )
| ( ( sK5_C @ SV16 @ SV6 )
= ( sum @ SV6 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(110,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(111,plain,
( ( ~ ! [SX0: $i] :
( ( end_point @ ( sK11_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(112,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(113,plain,
( ( ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK10_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(114,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( end_point @ SV17 @ SV7 )
| ~ ( ~ ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) )
| ~ ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(115,plain,
! [SV8: $i,SV18: $i] :
( ( ~ ( ~ ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
| ~ ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) ) )
| ( SV8 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(116,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK13_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK14_SY60 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ ( sK14_SY60 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ ( sK13_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(117,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(118,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(119,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(120,plain,
! [SV9: $i] :
( ( ~ ! [SY77: $i,SY78: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ( SV9
= ( sum @ SY77 @ SY78 ) ) )
| ~ ! [SY79: $i,SY80: $i] :
( ( SV9
!= ( sum @ SY79 @ SY80 ) )
| ~ ( ~ ! [SY81: $i] :
( ~ ( incident_c @ SY81 @ SV9 )
| ( incident_c @ SY81 @ SY79 )
| ( incident_c @ SY81 @ SY80 ) )
| ~ ~ ( ~ ! [SY82: $i] :
( ~ ( incident_c @ SY82 @ SY79 )
| ( incident_c @ SY82 @ SV9 ) )
| ~ ! [SY83: $i] :
( ~ ( incident_c @ SY83 @ SY80 )
| ( incident_c @ SY83 @ SV9 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV10: $i] :
( ( ~ ! [SY84: $i,SY85: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) ) )
| ~ ( incident_c @ SV10 @ SY84 )
| ~ ( incident_c @ SV10 @ SY85 )
| ( meet @ SV10 @ SY84 @ SY85 ) )
| ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(122,plain,
! [SV11: $i,SV19: $i] :
( ( ~ ( inner_point @ SV19 @ SV11 )
| ~ ( ( SV11
!= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
| ~ ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(123,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(124,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(125,plain,
! [SV1: $i,SV12: $i] :
( ( ( ( SV12 = SV1 )
| ~ ( part_of @ SV12 @ SV1 ) )
= $true )
| ( ( open @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV20: $i,SV2: $i,SV13: $i] :
( ( ! [SY104: $i] :
( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SV20 @ SV2 )
| ~ ( part_of @ SY104 @ SV2 )
| ! [SY105: $i] :
( ~ ( end_point @ SY105 @ SV13 )
| ~ ( end_point @ SY105 @ SV20 )
| ~ ( end_point @ SY105 @ SY104 ) )
| ( part_of @ SY104 @ SV13 )
| ( part_of @ SV13 @ SY104 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SY104 )
| ( part_of @ SY104 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV21: $i,SV4: $i,SV14: $i] :
( ( ! [SY106: $i] :
( ~ ( end_point @ SV14 @ SV4 )
| ~ ( end_point @ SV21 @ SV4 )
| ~ ( end_point @ SY106 @ SV4 )
| ( SV21 = SY106 )
| ( SV14 = SV21 )
| ( SV14 = SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV22: $i,SV15: $i,SV5: $i] :
( ( ~ ( closed @ SV5 )
| ! [SY107: $i] :
~ ( meet @ SY107 @ SV15 @ SV22 )
| ( SV5
!= ( sum @ SV15 @ SV22 ) )
| ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV16: $i,SV6: $i] :
( ( ( ! [SY103: $i] :
~ ( meet @ SY103 @ SV6 @ SV16 ) )
= $true )
| ( ( ( sK5_C @ SV16 @ SV6 )
= ( sum @ SV6 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(130,plain,
( ( ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(131,plain,
( ( ! [SX0: $i] :
( ( end_point @ ( sK11_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(132,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(133,plain,
( ( ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK10_P @ SX0 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(134,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( end_point @ SV17 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) )
| ~ ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
| ~ ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) ) ) )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(136,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK13_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK14_SY60 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SX1 @ SX0 ) @ ( sK14_SY60 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SX1 @ SX0 ) @ ( sK13_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(137,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(139,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(140,plain,
! [SV9: $i] :
( ( ~ ! [SY77: $i,SY78: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ( SV9
= ( sum @ SY77 @ SY78 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(141,plain,
! [SV9: $i] :
( ( ~ ! [SY79: $i,SY80: $i] :
( ( SV9
!= ( sum @ SY79 @ SY80 ) )
| ~ ( ~ ! [SY81: $i] :
( ~ ( incident_c @ SY81 @ SV9 )
| ( incident_c @ SY81 @ SY79 )
| ( incident_c @ SY81 @ SY80 ) )
| ~ ~ ( ~ ! [SY82: $i] :
( ~ ( incident_c @ SY82 @ SY79 )
| ( incident_c @ SY82 @ SV9 ) )
| ~ ! [SY83: $i] :
( ~ ( incident_c @ SY83 @ SY80 )
| ( incident_c @ SY83 @ SV9 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(142,plain,
! [SV10: $i] :
( ( ~ ! [SY84: $i,SY85: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) ) )
| ~ ( incident_c @ SV10 @ SY84 )
| ~ ( incident_c @ SV10 @ SY85 )
| ( meet @ SV10 @ SY84 @ SY85 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(143,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(144,plain,
! [SV11: $i,SV19: $i] :
( ( ( ~ ( inner_point @ SV19 @ SV11 ) )
= $true )
| ( ( ~ ( ( SV11
!= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
| ~ ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(145,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(146,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(147,plain,
! [SV1: $i,SV12: $i] :
( ( ( SV12 = SV1 )
= $true )
| ( ( ~ ( part_of @ SV12 @ SV1 ) )
= $true )
| ( ( open @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(148,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SV20 @ SV2 )
| ~ ( part_of @ SV23 @ SV2 )
| ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) )
| ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(149,plain,
! [SV24: $i,SV21: $i,SV4: $i,SV14: $i] :
( ( ~ ( end_point @ SV14 @ SV4 )
| ~ ( end_point @ SV21 @ SV4 )
| ~ ( end_point @ SV24 @ SV4 )
| ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(150,plain,
! [SV22: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 )
| ! [SY107: $i] :
~ ( meet @ SY107 @ SV15 @ SV22 )
| ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(151,plain,
! [SV16: $i,SV6: $i,SV25: $i] :
( ( ( ~ ( meet @ SV25 @ SV6 @ SV16 ) )
= $true )
| ( ( ( sK5_C @ SV16 @ SV6 )
= ( sum @ SV6 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(152,plain,
! [SV26: $i] :
( ( ~ ( closed @ SV26 )
| ! [SY110: $i] :
~ ( end_point @ SY110 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(153,plain,
! [SV27: $i] :
( ( ( end_point @ ( sK11_P @ SV27 ) @ SV27 )
| ( closed @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(154,plain,
! [SV28: $i] :
( ( ! [SY111: $i] :
~ ( end_point @ SY111 @ SV28 )
| ( open @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(155,plain,
! [SV29: $i] :
( ( ~ ( open @ SV29 )
| ( end_point @ ( sK10_P @ SV29 ) @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(156,plain,
! [SV7: $i,SV17: $i] :
( ( ( end_point @ SV17 @ SV7 )
= $false )
| ( ( ~ ( ~ ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) )
| ~ ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(157,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
| ~ ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) ) )
= $false )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(158,plain,
! [SV30: $i] :
( ( ! [SY112: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SY112 @ SV30 ) @ SY112 )
| ~ ( part_of @ ( sK14_SY60 @ SY112 @ SV30 ) @ SY112 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SY112 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SY112 @ SV30 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SY112 @ SV30 ) @ ( sK14_SY60 @ SY112 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SY112 @ SV30 ) @ ( sK13_C1 @ SY112 @ SV30 ) ) ) )
| ~ ( incident_c @ SV30 @ SY112 )
| ( end_point @ SV30 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(159,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(160,plain,
! [SV31: $i] :
( ( ! [SY113: $i] :
( ~ ( ~ ( incident_c @ ( sK16_P @ SY113 @ SV31 ) @ SY113 )
| ~ ~ ( incident_c @ ( sK16_P @ SY113 @ SV31 ) @ SV31 ) )
| ( part_of @ SY113 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(161,plain,
! [SV32: $i] :
( ( ! [SY114: $i] :
( ~ ( part_of @ SY114 @ SV32 )
| ! [SY115: $i] :
( ~ ( incident_c @ SY115 @ SY114 )
| ( incident_c @ SY115 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(162,plain,
! [SV9: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY77 )
| ( incident_c @ ( sK15_Q @ SY78 @ SY77 @ SV9 ) @ SY78 ) ) )
| ( SV9
= ( sum @ SY77 @ SY78 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(163,plain,
! [SV9: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ( SV9
!= ( sum @ SY79 @ SY80 ) )
| ~ ( ~ ! [SY81: $i] :
( ~ ( incident_c @ SY81 @ SV9 )
| ( incident_c @ SY81 @ SY79 )
| ( incident_c @ SY81 @ SY80 ) )
| ~ ~ ( ~ ! [SY82: $i] :
( ~ ( incident_c @ SY82 @ SY79 )
| ( incident_c @ SY82 @ SV9 ) )
| ~ ! [SY83: $i] :
( ~ ( incident_c @ SY83 @ SY80 )
| ( incident_c @ SY83 @ SV9 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(164,plain,
! [SV10: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( incident_c @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY84 )
| ~ ( end_point @ ( sK12_Q @ SY85 @ SY84 @ SV10 ) @ SY85 ) ) )
| ~ ( incident_c @ SV10 @ SY84 )
| ~ ( incident_c @ SV10 @ SY85 )
| ( meet @ SV10 @ SY84 @ SY85 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(165,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(166,plain,
! [SV11: $i,SV19: $i] :
( ( ( inner_point @ SV19 @ SV11 )
= $false )
| ( ( ~ ( ( SV11
!= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
| ~ ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(167,plain,
! [SV33: $i] :
( ( ! [SY116: $i] :
( ~ ( incident_c @ SV33 @ SY116 )
| ( end_point @ SV33 @ SY116 )
| ( inner_point @ SV33 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(168,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(169,plain,
! [SV1: $i,SV12: $i] :
( ( ( part_of @ SV12 @ SV1 )
= $false )
| ( ( SV12 = SV1 )
= $true )
| ( ( open @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(170,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SV20 @ SV2 )
| ~ ( part_of @ SV23 @ SV2 )
| ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(171,plain,
! [SV24: $i,SV21: $i,SV4: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV4 )
| ~ ( end_point @ SV21 @ SV4 )
| ~ ( end_point @ SV24 @ SV4 ) )
= $true )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(172,plain,
! [SV22: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 )
| ! [SY107: $i] :
~ ( meet @ SY107 @ SV15 @ SV22 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(173,plain,
! [SV16: $i,SV6: $i,SV25: $i] :
( ( ( meet @ SV25 @ SV6 @ SV16 )
= $false )
| ( ( ( sK5_C @ SV16 @ SV6 )
= ( sum @ SV6 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(174,plain,
! [SV26: $i] :
( ( ( ~ ( closed @ SV26 ) )
= $true )
| ( ( ! [SY110: $i] :
~ ( end_point @ SY110 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(175,plain,
! [SV27: $i] :
( ( ( end_point @ ( sK11_P @ SV27 ) @ SV27 )
= $true )
| ( ( closed @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(176,plain,
! [SV28: $i] :
( ( ( ! [SY111: $i] :
~ ( end_point @ SY111 @ SV28 ) )
= $true )
| ( ( open @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(177,plain,
! [SV29: $i] :
( ( ( ~ ( open @ SV29 ) )
= $true )
| ( ( end_point @ ( sK10_P @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(178,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) )
| ~ ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 ) )
= $false )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(179,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) ) )
= $false )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(180,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) ) )
= $false )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(181,plain,
! [SV30: $i,SV34: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
| ~ ( incident_c @ SV30 @ SV34 )
| ( end_point @ SV30 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(182,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(183,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(184,plain,
! [SV31: $i,SV35: $i] :
( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV35 )
| ~ ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 ) )
| ( part_of @ SV35 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(185,plain,
! [SV32: $i,SV36: $i] :
( ( ~ ( part_of @ SV36 @ SV32 )
| ! [SY117: $i] :
( ~ ( incident_c @ SY117 @ SV36 )
| ( incident_c @ SY117 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(186,plain,
! [SV9: $i,SV37: $i] :
( ( ! [SY118: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SY118 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SY118 @ SV37 @ SV9 ) @ SY118 ) ) )
| ( SV9
= ( sum @ SV37 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(187,plain,
! [SV38: $i,SV9: $i] :
( ( ! [SY119: $i] :
( ( SV9
!= ( sum @ SV38 @ SY119 ) )
| ~ ( ~ ! [SY120: $i] :
( ~ ( incident_c @ SY120 @ SV9 )
| ( incident_c @ SY120 @ SV38 )
| ( incident_c @ SY120 @ SY119 ) )
| ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY83: $i] :
( ~ ( incident_c @ SY83 @ SY119 )
| ( incident_c @ SY83 @ SV9 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(188,plain,
! [SV10: $i,SV39: $i] :
( ( ! [SY123: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SY123 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SY123 @ SV39 @ SV10 ) @ SY123 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SY123 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SY123 @ SV39 @ SV10 ) @ SY123 ) ) )
| ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SY123 )
| ( meet @ SV10 @ SV39 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(189,plain,
! [SV10: $i] :
( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) )
| ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV19: $i,SV11: $i] :
( ( ( ( SV11
!= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
| ~ ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
= $false )
| ( ( inner_point @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV40: $i,SV33: $i] :
( ( ~ ( incident_c @ SV33 @ SV40 )
| ( end_point @ SV33 @ SV40 )
| ( inner_point @ SV33 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(192,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(193,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(194,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SV20 @ SV2 )
| ~ ( part_of @ SV23 @ SV2 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(195,plain,
! [SV24: $i,SV21: $i,SV4: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV4 )
| ~ ( end_point @ SV21 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV24 @ SV4 ) )
= $true )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(196,plain,
! [SV22: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 ) )
= $true )
| ( ( ! [SY107: $i] :
~ ( meet @ SY107 @ SV15 @ SV22 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(197,plain,
! [SV26: $i] :
( ( ( closed @ SV26 )
= $false )
| ( ( ! [SY110: $i] :
~ ( end_point @ SY110 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(198,plain,
! [SV28: $i,SV41: $i] :
( ( ( ~ ( end_point @ SV41 @ SV28 ) )
= $true )
| ( ( open @ SV28 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(199,plain,
! [SV29: $i] :
( ( ( open @ SV29 )
= $false )
| ( ( end_point @ ( sK10_P @ SV29 ) @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(200,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) ) )
= $false )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(201,plain,
! [SV7: $i,SV17: $i] :
( ( ( ~ ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 ) )
= $false )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(202,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(203,plain,
! [SV8: $i,SV18: $i] :
( ( ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(204,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
| ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(205,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX0 @ SX3 )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(206,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(207,plain,
! [SV31: $i,SV35: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV35 )
| ~ ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 ) ) )
= $true )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(208,plain,
! [SV32: $i,SV36: $i] :
( ( ( ~ ( part_of @ SV36 @ SV32 ) )
= $true )
| ( ( ! [SY117: $i] :
( ~ ( incident_c @ SY117 @ SV36 )
| ( incident_c @ SY117 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(209,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
| ( SV9
= ( sum @ SV37 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(210,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( SV9
!= ( sum @ SV38 @ SV43 ) )
| ~ ( ~ ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) )
| ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(211,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
| ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 )
| ( meet @ SV10 @ SV39 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(212,plain,
! [SV10: $i] :
( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(213,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(214,plain,
! [SV19: $i,SV11: $i] :
( ( ( ( SV11
!= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) ) )
= $false )
| ( ( inner_point @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(215,plain,
! [SV11: $i,SV19: $i] :
( ( ( ~ ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
= $false )
| ( ( inner_point @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(216,plain,
! [SV40: $i,SV33: $i] :
( ( ( ~ ( incident_c @ SV33 @ SV40 )
| ( end_point @ SV33 @ SV40 ) )
= $true )
| ( ( inner_point @ SV33 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(217,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(218,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(219,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ( ~ ( part_of @ SV13 @ SV2 )
| ~ ( part_of @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV23 @ SV2 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(220,plain,
! [SV24: $i,SV21: $i,SV4: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV21 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV24 @ SV4 ) )
= $true )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(221,plain,
! [SV22: $i,SV15: $i,SV5: $i] :
( ( ( closed @ SV5 )
= $false )
| ( ( ! [SY107: $i] :
~ ( meet @ SY107 @ SV15 @ SV22 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(222,plain,
! [SV26: $i,SV45: $i] :
( ( ( ~ ( end_point @ SV45 @ SV26 ) )
= $true )
| ( ( closed @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(223,plain,
! [SV28: $i,SV41: $i] :
( ( ( end_point @ SV41 @ SV28 )
= $false )
| ( ( open @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(224,plain,
! [SV7: $i,SV17: $i] :
( ( ( ( SV17
!= ( sK6_Q @ SV17 @ SV7 ) ) )
= $true )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(225,plain,
! [SV7: $i,SV17: $i] :
( ( ( end_point @ ( sK6_Q @ SV17 @ SV7 ) @ SV7 )
= $true )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(226,plain,
! [SV8: $i,SV18: $i] :
( ( ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(227,plain,
! [SV8: $i,SV18: $i] :
( ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
= $true )
| ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(228,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(229,plain,
! [SV46: $i] :
( ( ! [SY127: $i] :
( ~ ( end_point @ SV46 @ SY127 )
| ! [SY128: $i,SY129: $i] :
( ~ ( part_of @ SY128 @ SY127 )
| ~ ( part_of @ SY129 @ SY127 )
| ~ ( incident_c @ SV46 @ SY128 )
| ~ ( incident_c @ SV46 @ SY129 )
| ( part_of @ SY128 @ SY129 )
| ( part_of @ SY129 @ SY128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(230,plain,
! [SV47: $i] :
( ( ! [SY130: $i] :
( ~ ( end_point @ SV47 @ SY130 )
| ( incident_c @ SV47 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(231,plain,
! [SV31: $i,SV35: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV35 )
| ~ ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 ) )
= $false )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(232,plain,
! [SV32: $i,SV36: $i] :
( ( ( part_of @ SV36 @ SV32 )
= $false )
| ( ( ! [SY117: $i] :
( ~ ( incident_c @ SY117 @ SV36 )
| ( incident_c @ SY117 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(233,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(234,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( ( SV9
!= ( sum @ SV38 @ SV43 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) )
| ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(235,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
| ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(236,plain,
! [SV10: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ( meet @ SV10 @ SY86 @ SY87 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY86 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY86 )
| ~ ( incident_c @ SX3 @ SY87 )
| ( end_point @ SX3 @ SY87 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(237,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(238,plain,
! [SV19: $i,SV11: $i] :
( ( ( SV11
= ( sum @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) ) )
= $true )
| ( ( inner_point @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(239,plain,
! [SV11: $i,SV19: $i] :
( ( ( meet @ SV19 @ ( sK7_C1 @ SV19 @ SV11 ) @ ( sK8_SY59 @ SV19 @ SV11 ) )
= $true )
| ( ( inner_point @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(240,plain,
! [SV40: $i,SV33: $i] :
( ( ( ~ ( incident_c @ SV33 @ SV40 ) )
= $true )
| ( ( end_point @ SV33 @ SV40 )
= $true )
| ( ( inner_point @ SV33 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(241,plain,
! [SV48: $i] :
( ( ! [SY131: $i] :
( ~ ( inner_point @ SV48 @ SY131 )
| ( incident_c @ SV48 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(242,plain,
! [SV49: $i] :
( ( ! [SY132: $i] :
( ~ ( inner_point @ SV49 @ SY132 )
| ~ ( end_point @ SV49 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(243,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ( ~ ( part_of @ SV13 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV23 @ SV2 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(244,plain,
! [SV24: $i,SV21: $i,SV4: $i,SV14: $i] :
( ( ( end_point @ SV14 @ SV4 )
= $false )
| ( ( ~ ( end_point @ SV21 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV24 @ SV4 ) )
= $true )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(245,plain,
! [SV5: $i,SV22: $i,SV15: $i,SV50: $i] :
( ( ( ~ ( meet @ SV50 @ SV15 @ SV22 ) )
= $true )
| ( ( closed @ SV5 )
= $false )
| ( ( ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(246,plain,
! [SV26: $i,SV45: $i] :
( ( ( end_point @ SV45 @ SV26 )
= $false )
| ( ( closed @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(247,plain,
! [SV7: $i,SV17: $i] :
( ( ( SV17
= ( sK6_Q @ SV17 @ SV7 ) )
= $false )
| ( ( end_point @ SV17 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(248,plain,
! [SV8: $i,SV18: $i] :
( ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
= $false )
| ( ( ~ ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 ) )
= $true )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(249,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(250,plain,
! [SV51: $i,SV46: $i] :
( ( ~ ( end_point @ SV46 @ SV51 )
| ! [SY133: $i,SY134: $i] :
( ~ ( part_of @ SY133 @ SV51 )
| ~ ( part_of @ SY134 @ SV51 )
| ~ ( incident_c @ SV46 @ SY133 )
| ~ ( incident_c @ SV46 @ SY134 )
| ( part_of @ SY133 @ SY134 )
| ( part_of @ SY134 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(251,plain,
! [SV52: $i,SV47: $i] :
( ( ~ ( end_point @ SV47 @ SV52 )
| ( incident_c @ SV47 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(252,plain,
! [SV31: $i,SV35: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV35 ) )
= $false )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(253,plain,
! [SV31: $i,SV35: $i] :
( ( ( ~ ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 ) )
= $false )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(254,plain,
! [SV32: $i,SV36: $i,SV53: $i] :
( ( ( ~ ( incident_c @ SV53 @ SV36 )
| ( incident_c @ SV53 @ SV32 ) )
= $true )
| ( ( part_of @ SV36 @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(255,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
| ~ ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(256,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false )
| ( ( ~ ( ~ ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) )
| ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(257,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(258,plain,
! [SV54: $i,SV10: $i] :
( ( ! [SY135: $i] :
( ~ ( meet @ SV10 @ SV54 @ SY135 )
| ~ ( ~ ! [SY136: $i] :
( ~ ( incident_c @ SY136 @ SV54 )
| ~ ( incident_c @ SY136 @ SY135 )
| ( end_point @ SY136 @ SV54 ) )
| ~ ! [SY137: $i] :
( ~ ( incident_c @ SY137 @ SV54 )
| ~ ( incident_c @ SY137 @ SY135 )
| ( end_point @ SY137 @ SY135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(259,plain,
! [SV10: $i] :
( ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(260,plain,
! [SV40: $i,SV33: $i] :
( ( ( incident_c @ SV33 @ SV40 )
= $false )
| ( ( end_point @ SV33 @ SV40 )
= $true )
| ( ( inner_point @ SV33 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(261,plain,
! [SV55: $i,SV48: $i] :
( ( ~ ( inner_point @ SV48 @ SV55 )
| ( incident_c @ SV48 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(262,plain,
! [SV56: $i,SV49: $i] :
( ( ~ ( inner_point @ SV49 @ SV56 )
| ~ ( end_point @ SV49 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(263,plain,
! [SV23: $i,SV20: $i,SV2: $i,SV13: $i] :
( ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( ~ ( part_of @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV23 @ SV2 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(264,plain,
! [SV24: $i,SV14: $i,SV4: $i,SV21: $i] :
( ( ( end_point @ SV21 @ SV4 )
= $false )
| ( ( end_point @ SV14 @ SV4 )
= $false )
| ( ( ~ ( end_point @ SV24 @ SV4 ) )
= $true )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(265,plain,
! [SV5: $i,SV22: $i,SV15: $i,SV50: $i] :
( ( ( meet @ SV50 @ SV15 @ SV22 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( ( SV5
!= ( sum @ SV15 @ SV22 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(266,plain,
! [SV8: $i,SV18: $i] :
( ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV18 )
= $false )
| ( ( incident_c @ ( sK4_P @ SV18 @ SV8 ) @ SV8 )
= $false )
| ( ( SV8 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(267,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(268,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(269,plain,
! [SV51: $i,SV46: $i] :
( ( ( ~ ( end_point @ SV46 @ SV51 ) )
= $true )
| ( ( ! [SY133: $i,SY134: $i] :
( ~ ( part_of @ SY133 @ SV51 )
| ~ ( part_of @ SY134 @ SV51 )
| ~ ( incident_c @ SV46 @ SY133 )
| ~ ( incident_c @ SV46 @ SY134 )
| ( part_of @ SY133 @ SY134 )
| ( part_of @ SY134 @ SY133 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(270,plain,
! [SV52: $i,SV47: $i] :
( ( ( ~ ( end_point @ SV47 @ SV52 ) )
= $true )
| ( ( incident_c @ SV47 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(271,plain,
! [SV31: $i,SV35: $i] :
( ( ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV35 )
= $true )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(272,plain,
! [SV31: $i,SV35: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 ) )
= $true )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(273,plain,
! [SV32: $i,SV36: $i,SV53: $i] :
( ( ( ~ ( incident_c @ SV53 @ SV36 ) )
= $true )
| ( ( incident_c @ SV53 @ SV32 )
= $true )
| ( ( part_of @ SV36 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(274,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(275,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(276,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( ~ ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) )
| ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(277,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
| ~ ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(278,plain,
! [SV57: $i,SV54: $i,SV10: $i] :
( ( ~ ( meet @ SV10 @ SV54 @ SV57 )
| ~ ( ~ ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) )
| ~ ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(279,plain,
! [SV10: $i] :
( ( ~ ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(280,plain,
! [SV10: $i] :
( ( ~ ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(281,plain,
! [SV55: $i,SV48: $i] :
( ( ( ~ ( inner_point @ SV48 @ SV55 ) )
= $true )
| ( ( incident_c @ SV48 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(282,plain,
! [SV56: $i,SV49: $i] :
( ( ( ~ ( inner_point @ SV49 @ SV56 ) )
= $true )
| ( ( ~ ( end_point @ SV49 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(283,plain,
! [SV23: $i,SV13: $i,SV2: $i,SV20: $i] :
( ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( ~ ( part_of @ SV23 @ SV2 ) )
= $true )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(284,plain,
! [SV21: $i,SV14: $i,SV4: $i,SV24: $i] :
( ( ( end_point @ SV24 @ SV4 )
= $false )
| ( ( end_point @ SV14 @ SV4 )
= $false )
| ( ( end_point @ SV21 @ SV4 )
= $false )
| ( ( ( SV21 = SV24 )
| ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(285,plain,
! [SV50: $i,SV22: $i,SV15: $i,SV5: $i] :
( ( ( SV5
= ( sum @ SV15 @ SV22 ) )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( meet @ SV50 @ SV15 @ SV22 )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( end_point @ SY108 @ SV15 )
| ( meet @ SY108 @ SV15 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(286,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(287,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(288,plain,
! [SV51: $i,SV46: $i] :
( ( ( end_point @ SV46 @ SV51 )
= $false )
| ( ( ! [SY133: $i,SY134: $i] :
( ~ ( part_of @ SY133 @ SV51 )
| ~ ( part_of @ SY134 @ SV51 )
| ~ ( incident_c @ SV46 @ SY133 )
| ~ ( incident_c @ SV46 @ SY134 )
| ( part_of @ SY133 @ SY134 )
| ( part_of @ SY134 @ SY133 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(289,plain,
! [SV52: $i,SV47: $i] :
( ( ( end_point @ SV47 @ SV52 )
= $false )
| ( ( incident_c @ SV47 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(290,plain,
! [SV31: $i,SV35: $i] :
( ( ( incident_c @ ( sK16_P @ SV35 @ SV31 ) @ SV31 )
= $false )
| ( ( part_of @ SV35 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(291,plain,
! [SV32: $i,SV36: $i,SV53: $i] :
( ( ( incident_c @ SV53 @ SV36 )
= $false )
| ( ( incident_c @ SV53 @ SV32 )
= $true )
| ( ( part_of @ SV36 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(292,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(293,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(294,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( ~ ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(295,plain,
! [SV43: $i,SV9: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(296,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(297,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(298,plain,
! [SV57: $i,SV54: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV54 @ SV57 ) )
= $true )
| ( ( ~ ( ~ ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) )
| ~ ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(299,plain,
! [SV10: $i] :
( ( ! [SY90: $i] :
( ! [SY91: $i] :
~ ( meet @ SV10 @ SY90 @ SY91 )
| ( incident_c @ SV10 @ SY90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(300,plain,
! [SV10: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ~ ( meet @ SV10 @ SY92 @ SY93 )
| ( incident_c @ SV10 @ SY93 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(301,plain,
! [SV55: $i,SV48: $i] :
( ( ( inner_point @ SV48 @ SV55 )
= $false )
| ( ( incident_c @ SV48 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(302,plain,
! [SV56: $i,SV49: $i] :
( ( ( inner_point @ SV49 @ SV56 )
= $false )
| ( ( ~ ( end_point @ SV49 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(303,plain,
! [SV20: $i,SV13: $i,SV2: $i,SV23: $i] :
( ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( ! [SY109: $i] :
( ~ ( end_point @ SY109 @ SV13 )
| ~ ( end_point @ SY109 @ SV20 )
| ~ ( end_point @ SY109 @ SV23 ) ) )
= $true )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(304,plain,
! [SV4: $i,SV14: $i,SV24: $i,SV21: $i] :
( ( ( SV21 = SV24 )
= $true )
| ( ( ( SV14 = SV21 )
| ( SV14 = SV24 ) )
= $true )
| ( ( end_point @ SV21 @ SV4 )
= $false )
| ( ( end_point @ SV14 @ SV4 )
= $false )
| ( ( end_point @ SV24 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(305,plain,
! [SV5: $i,SV50: $i,SV22: $i,SV15: $i,SV58: $i] :
( ( ( ~ ( end_point @ SV58 @ SV15 )
| ( meet @ SV58 @ SV15 @ SV22 ) )
= $true )
| ( ( meet @ SV50 @ SV15 @ SV22 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV15 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(306,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
| ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(307,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
| ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(308,plain,
! [SV46: $i,SV51: $i,SV59: $i] :
( ( ( ! [SY140: $i] :
( ~ ( part_of @ SV59 @ SV51 )
| ~ ( part_of @ SY140 @ SV51 )
| ~ ( incident_c @ SV46 @ SV59 )
| ~ ( incident_c @ SV46 @ SY140 )
| ( part_of @ SV59 @ SY140 )
| ( part_of @ SY140 @ SV59 ) ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(309,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
| ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(310,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $true )
| ( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
| ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(311,plain,
! [SV43: $i,SV38: $i,SV9: $i] :
( ( ( ! [SY124: $i] :
( ~ ( incident_c @ SY124 @ SV9 )
| ( incident_c @ SY124 @ SV38 )
| ( incident_c @ SY124 @ SV43 ) ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(312,plain,
! [SV43: $i,SV9: $i,SV38: $i] :
( ( ( ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(313,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(314,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(315,plain,
! [SV57: $i,SV54: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV54 @ SV57 )
= $false )
| ( ( ~ ( ~ ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) )
| ~ ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(316,plain,
! [SV60: $i,SV10: $i] :
( ( ! [SY141: $i] :
~ ( meet @ SV10 @ SV60 @ SY141 )
| ( incident_c @ SV10 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(317,plain,
! [SV61: $i,SV10: $i] :
( ( ! [SY142: $i] :
( ~ ( meet @ SV10 @ SV61 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(318,plain,
! [SV56: $i,SV49: $i] :
( ( ( end_point @ SV49 @ SV56 )
= $false )
| ( ( inner_point @ SV49 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(319,plain,
! [SV2: $i,SV23: $i,SV20: $i,SV13: $i,SV62: $i] :
( ( ( ~ ( end_point @ SV62 @ SV13 )
| ~ ( end_point @ SV62 @ SV20 )
| ~ ( end_point @ SV62 @ SV23 ) )
= $true )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(320,plain,
! [SV4: $i,SV24: $i,SV21: $i,SV14: $i] :
( ( ( SV14 = SV21 )
= $true )
| ( ( SV14 = SV24 )
= $true )
| ( ( SV21 = SV24 )
= $true )
| ( ( end_point @ SV21 @ SV4 )
= $false )
| ( ( end_point @ SV14 @ SV4 )
= $false )
| ( ( end_point @ SV24 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(321,plain,
! [SV5: $i,SV50: $i,SV22: $i,SV15: $i,SV58: $i] :
( ( ( ~ ( end_point @ SV58 @ SV15 ) )
= $true )
| ( ( meet @ SV58 @ SV15 @ SV22 )
= $true )
| ( ( meet @ SV50 @ SV15 @ SV22 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV15 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(322,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(323,plain,
! [SV34: $i,SV30: $i] :
( ( ( ~ ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(324,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(325,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(326,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( ~ ( part_of @ SV59 @ SV51 )
| ~ ( part_of @ SV63 @ SV51 )
| ~ ( incident_c @ SV46 @ SV59 )
| ~ ( incident_c @ SV46 @ SV63 )
| ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(327,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(328,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(329,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
= $true )
| ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 )
= $true )
| ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(330,plain,
! [SV43: $i,SV38: $i,SV9: $i,SV64: $i] :
( ( ( ~ ( incident_c @ SV64 @ SV9 )
| ( incident_c @ SV64 @ SV38 )
| ( incident_c @ SV64 @ SV43 ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(331,plain,
! [SV43: $i,SV9: $i,SV38: $i] :
( ( ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) )
| ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(332,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
| ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(333,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 ) )
= $true )
| ( ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(334,plain,
! [SV10: $i,SV57: $i,SV54: $i] :
( ( ( ~ ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) )
| ~ ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) )
= $false )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(335,plain,
! [SV60: $i,SV10: $i] :
( ( ( ! [SY141: $i] :
~ ( meet @ SV10 @ SV60 @ SY141 ) )
= $true )
| ( ( incident_c @ SV10 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(336,plain,
! [SV65: $i,SV61: $i,SV10: $i] :
( ( ~ ( meet @ SV10 @ SV61 @ SV65 )
| ( incident_c @ SV10 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(337,plain,
! [SV2: $i,SV23: $i,SV20: $i,SV13: $i,SV62: $i] :
( ( ( ~ ( end_point @ SV62 @ SV13 )
| ~ ( end_point @ SV62 @ SV20 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV23 ) )
= $true )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(338,plain,
! [SV5: $i,SV50: $i,SV22: $i,SV15: $i,SV58: $i] :
( ( ( end_point @ SV58 @ SV15 )
= $false )
| ( ( meet @ SV58 @ SV15 @ SV22 )
= $true )
| ( ( meet @ SV50 @ SV15 @ SV22 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV15 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(339,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(340,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(341,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(342,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(343,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( ~ ( part_of @ SV59 @ SV51 )
| ~ ( part_of @ SV63 @ SV51 )
| ~ ( incident_c @ SV46 @ SV59 )
| ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(344,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(345,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
| ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(346,plain,
! [SV43: $i,SV38: $i,SV9: $i,SV64: $i] :
( ( ( ~ ( incident_c @ SV64 @ SV9 ) )
= $true )
| ( ( ( incident_c @ SV64 @ SV38 )
| ( incident_c @ SV64 @ SV43 ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(347,plain,
! [SV43: $i,SV9: $i,SV38: $i] :
( ( ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(348,plain,
! [SV38: $i,SV9: $i,SV43: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(349,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(350,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( ~ ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(351,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $false )
| ( ( ~ ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(352,plain,
! [SV10: $i,SV57: $i,SV54: $i] :
( ( ( ~ ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) ) )
= $false )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(353,plain,
! [SV10: $i,SV57: $i,SV54: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) )
= $false )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(354,plain,
! [SV66: $i,SV60: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV60 @ SV66 ) )
= $true )
| ( ( incident_c @ SV10 @ SV60 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(355,plain,
! [SV65: $i,SV61: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV61 @ SV65 ) )
= $true )
| ( ( incident_c @ SV10 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(356,plain,
! [SV2: $i,SV23: $i,SV20: $i,SV13: $i,SV62: $i] :
( ( ( ~ ( end_point @ SV62 @ SV13 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV20 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV23 ) )
= $true )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(357,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
| ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(358,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( incident_c @ SV30 @ ( sK14_SY60 @ SV34 @ SV30 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(359,plain,
! [SV30: $i,SV34: $i] :
( ( ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(360,plain,
! [SV30: $i,SV34: $i] :
( ( ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(361,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( ~ ( part_of @ SV59 @ SV51 )
| ~ ( part_of @ SV63 @ SV51 )
| ~ ( incident_c @ SV46 @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(362,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(363,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(364,plain,
! [SV43: $i,SV38: $i,SV9: $i,SV64: $i] :
( ( ( incident_c @ SV64 @ SV9 )
= $false )
| ( ( ( incident_c @ SV64 @ SV38 )
| ( incident_c @ SV64 @ SV43 ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(365,plain,
! [SV43: $i,SV9: $i,SV38: $i] :
( ( ( ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SV38 )
| ( incident_c @ SY121 @ SV9 ) ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(366,plain,
! [SV38: $i,SV9: $i,SV43: $i] :
( ( ( ! [SY126: $i] :
( ~ ( incident_c @ SY126 @ SV43 )
| ( incident_c @ SY126 @ SV9 ) ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(367,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(368,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(369,plain,
! [SV10: $i,SV39: $i,SV44: $i] :
( ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $false )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV39 )
| ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(370,plain,
! [SV10: $i,SV57: $i,SV54: $i] :
( ( ( ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SV54 )
| ~ ( incident_c @ SY138 @ SV57 )
| ( end_point @ SY138 @ SV54 ) ) )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(371,plain,
! [SV10: $i,SV57: $i,SV54: $i] :
( ( ( ! [SY139: $i] :
( ~ ( incident_c @ SY139 @ SV54 )
| ~ ( incident_c @ SY139 @ SV57 )
| ( end_point @ SY139 @ SV57 ) ) )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(372,plain,
! [SV66: $i,SV60: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV60 @ SV66 )
= $false )
| ( ( incident_c @ SV10 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(373,plain,
! [SV65: $i,SV61: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV61 @ SV65 )
= $false )
| ( ( incident_c @ SV10 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(374,plain,
! [SV2: $i,SV23: $i,SV20: $i,SV13: $i,SV62: $i] :
( ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( ~ ( end_point @ SV62 @ SV20 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV23 ) )
= $true )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(375,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(376,plain,
! [SV34: $i,SV30: $i] :
( ( ( ~ ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(377,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ ( sK14_SY60 @ SV34 @ SV30 ) )
= $false )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(378,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ ( sK13_C1 @ SV34 @ SV30 ) )
= $false )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(379,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( ~ ( part_of @ SV59 @ SV51 )
| ~ ( part_of @ SV63 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(380,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $false )
| ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(381,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $false )
| ( ( ~ ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 ) )
= $true )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(382,plain,
! [SV9: $i,SV43: $i,SV38: $i,SV64: $i] :
( ( ( incident_c @ SV64 @ SV38 )
= $true )
| ( ( incident_c @ SV64 @ SV43 )
= $true )
| ( ( incident_c @ SV64 @ SV9 )
= $false )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(383,plain,
! [SV43: $i,SV9: $i,SV38: $i,SV67: $i] :
( ( ( ~ ( incident_c @ SV67 @ SV38 )
| ( incident_c @ SV67 @ SV9 ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(384,plain,
! [SV38: $i,SV9: $i,SV43: $i,SV68: $i] :
( ( ( ~ ( incident_c @ SV68 @ SV43 )
| ( incident_c @ SV68 @ SV9 ) )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(385,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(386,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(387,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV39 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $false )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $false )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(388,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV69: $i] :
( ( ( ~ ( incident_c @ SV69 @ SV54 )
| ~ ( incident_c @ SV69 @ SV57 )
| ( end_point @ SV69 @ SV54 ) )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(389,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV70: $i] :
( ( ( ~ ( incident_c @ SV70 @ SV54 )
| ~ ( incident_c @ SV70 @ SV57 )
| ( end_point @ SV70 @ SV57 ) )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(390,plain,
! [SV2: $i,SV23: $i,SV13: $i,SV20: $i,SV62: $i] :
( ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( ~ ( end_point @ SV62 @ SV23 ) )
= $true )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(391,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(392,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(393,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( ~ ( part_of @ SV59 @ SV51 ) )
= $true )
| ( ( ~ ( part_of @ SV63 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(394,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV37 )
= $false )
| ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(395,plain,
! [SV9: $i,SV37: $i,SV42: $i] :
( ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV42 )
= $false )
| ( ( incident_c @ ( sK15_Q @ SV42 @ SV37 @ SV9 ) @ SV9 )
= $false )
| ( ( SV9
= ( sum @ SV37 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(396,plain,
! [SV43: $i,SV9: $i,SV38: $i,SV67: $i] :
( ( ( ~ ( incident_c @ SV67 @ SV38 ) )
= $true )
| ( ( incident_c @ SV67 @ SV9 )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(397,plain,
! [SV38: $i,SV9: $i,SV43: $i,SV68: $i] :
( ( ( ~ ( incident_c @ SV68 @ SV43 ) )
= $true )
| ( ( incident_c @ SV68 @ SV9 )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(398,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(399,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(400,plain,
! [SV44: $i,SV39: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV44 ) )
= $true )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $false )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $false )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(401,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV69: $i] :
( ( ( ~ ( incident_c @ SV69 @ SV54 )
| ~ ( incident_c @ SV69 @ SV57 ) )
= $true )
| ( ( end_point @ SV69 @ SV54 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(402,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV70: $i] :
( ( ( ~ ( incident_c @ SV70 @ SV54 )
| ~ ( incident_c @ SV70 @ SV57 ) )
= $true )
| ( ( end_point @ SV70 @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV2: $i,SV20: $i,SV13: $i,SV23: $i,SV62: $i] :
( ( ( end_point @ SV62 @ SV23 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( ( part_of @ SV23 @ SV13 )
| ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(404,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
| ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(405,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( incident_c @ SV30 @ ( sK13_C1 @ SV34 @ SV30 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(406,plain,
! [SV46: $i,SV63: $i,SV51: $i,SV59: $i] :
( ( ( part_of @ SV59 @ SV51 )
= $false )
| ( ( ~ ( part_of @ SV63 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(407,plain,
! [SV43: $i,SV9: $i,SV38: $i,SV67: $i] :
( ( ( incident_c @ SV67 @ SV38 )
= $false )
| ( ( incident_c @ SV67 @ SV9 )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(408,plain,
! [SV38: $i,SV9: $i,SV43: $i,SV68: $i] :
( ( ( incident_c @ SV68 @ SV43 )
= $false )
| ( ( incident_c @ SV68 @ SV9 )
= $true )
| ( ( SV9
= ( sum @ SV38 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(409,plain,
! [SV39: $i,SV44: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV44 )
= $false )
| ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(410,plain,
! [SV39: $i,SV44: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV44 )
= $false )
| ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( incident_c @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $true )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(411,plain,
! [SV39: $i,SV44: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV44 )
= $false )
| ( ( incident_c @ SV10 @ SV39 )
= $false )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV39 )
= $false )
| ( ( end_point @ ( sK12_Q @ SV44 @ SV39 @ SV10 ) @ SV44 )
= $false )
| ( ( meet @ SV10 @ SV39 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(412,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV69: $i] :
( ( ( ~ ( incident_c @ SV69 @ SV54 ) )
= $true )
| ( ( ~ ( incident_c @ SV69 @ SV57 ) )
= $true )
| ( ( end_point @ SV69 @ SV54 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(413,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV70: $i] :
( ( ( ~ ( incident_c @ SV70 @ SV54 ) )
= $true )
| ( ( ~ ( incident_c @ SV70 @ SV57 ) )
= $true )
| ( ( end_point @ SV70 @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(414,plain,
! [SV62: $i,SV2: $i,SV20: $i,SV13: $i,SV23: $i] :
( ( ( part_of @ SV23 @ SV13 )
= $true )
| ( ( ( part_of @ SV13 @ SV23 )
| ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(415,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(416,plain,
! [SV30: $i,SV34: $i] :
( ( ( ~ ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 ) )
= $false )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(417,plain,
! [SV46: $i,SV59: $i,SV51: $i,SV63: $i] :
( ( ( part_of @ SV63 @ SV51 )
= $false )
| ( ( part_of @ SV59 @ SV51 )
= $false )
| ( ( ~ ( incident_c @ SV46 @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV69: $i] :
( ( ( incident_c @ SV69 @ SV54 )
= $false )
| ( ( ~ ( incident_c @ SV69 @ SV57 ) )
= $true )
| ( ( end_point @ SV69 @ SV54 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(419,plain,
! [SV10: $i,SV57: $i,SV54: $i,SV70: $i] :
( ( ( incident_c @ SV70 @ SV54 )
= $false )
| ( ( ~ ( incident_c @ SV70 @ SV57 ) )
= $true )
| ( ( end_point @ SV70 @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(420,plain,
! [SV62: $i,SV2: $i,SV20: $i,SV23: $i,SV13: $i] :
( ( ( part_of @ SV13 @ SV23 )
= $true )
| ( ( ( part_of @ SV20 @ SV13 )
| ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true )
| ( ( part_of @ SV23 @ SV13 )
= $true )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(421,plain,
! [SV30: $i,SV34: $i] :
( ( ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(422,plain,
! [SV30: $i,SV34: $i] :
( ( ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 )
= $true )
| ( ( ~ ( incident_c @ SV30 @ SV34 ) )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(423,plain,
! [SV63: $i,SV51: $i,SV59: $i,SV46: $i] :
( ( ( incident_c @ SV46 @ SV59 )
= $false )
| ( ( part_of @ SV59 @ SV51 )
= $false )
| ( ( part_of @ SV63 @ SV51 )
= $false )
| ( ( ~ ( incident_c @ SV46 @ SV63 ) )
= $true )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(424,plain,
! [SV10: $i,SV54: $i,SV57: $i,SV69: $i] :
( ( ( incident_c @ SV69 @ SV57 )
= $false )
| ( ( incident_c @ SV69 @ SV54 )
= $false )
| ( ( end_point @ SV69 @ SV54 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(425,plain,
! [SV10: $i,SV54: $i,SV57: $i,SV70: $i] :
( ( ( incident_c @ SV70 @ SV57 )
= $false )
| ( ( incident_c @ SV70 @ SV54 )
= $false )
| ( ( end_point @ SV70 @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV54 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(426,plain,
! [SV62: $i,SV2: $i,SV23: $i,SV13: $i,SV20: $i] :
( ( ( part_of @ SV20 @ SV13 )
= $true )
| ( ( ( part_of @ SV13 @ SV20 )
| ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true )
| ( ( part_of @ SV13 @ SV23 )
= $true )
| ( ( part_of @ SV23 @ SV13 )
= $true )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(427,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( part_of @ ( sK13_C1 @ SV34 @ SV30 ) @ SV34 )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(428,plain,
! [SV34: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV34 )
= $false )
| ( ( part_of @ ( sK14_SY60 @ SV34 @ SV30 ) @ SV34 )
= $true )
| ( ( end_point @ SV30 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(429,plain,
! [SV59: $i,SV51: $i,SV63: $i,SV46: $i] :
( ( ( incident_c @ SV46 @ SV63 )
= $false )
| ( ( part_of @ SV63 @ SV51 )
= $false )
| ( ( part_of @ SV59 @ SV51 )
= $false )
| ( ( incident_c @ SV46 @ SV59 )
= $false )
| ( ( ( part_of @ SV59 @ SV63 )
| ( part_of @ SV63 @ SV59 ) )
= $true )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(430,plain,
! [SV62: $i,SV2: $i,SV23: $i,SV20: $i,SV13: $i] :
( ( ( part_of @ SV13 @ SV20 )
= $true )
| ( ( ( part_of @ SV20 @ SV23 )
| ( part_of @ SV23 @ SV20 ) )
= $true )
| ( ( part_of @ SV20 @ SV13 )
= $true )
| ( ( part_of @ SV13 @ SV23 )
= $true )
| ( ( part_of @ SV23 @ SV13 )
= $true )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(431,plain,
! [SV51: $i,SV46: $i,SV63: $i,SV59: $i] :
( ( ( part_of @ SV59 @ SV63 )
= $true )
| ( ( part_of @ SV63 @ SV59 )
= $true )
| ( ( incident_c @ SV46 @ SV59 )
= $false )
| ( ( part_of @ SV59 @ SV51 )
= $false )
| ( ( part_of @ SV63 @ SV51 )
= $false )
| ( ( incident_c @ SV46 @ SV63 )
= $false )
| ( ( end_point @ SV46 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(432,plain,
! [SV62: $i,SV2: $i,SV13: $i,SV23: $i,SV20: $i] :
( ( ( part_of @ SV20 @ SV23 )
= $true )
| ( ( part_of @ SV23 @ SV20 )
= $true )
| ( ( part_of @ SV13 @ SV20 )
= $true )
| ( ( part_of @ SV20 @ SV13 )
= $true )
| ( ( part_of @ SV13 @ SV23 )
= $true )
| ( ( part_of @ SV23 @ SV13 )
= $true )
| ( ( part_of @ SV23 @ SV2 )
= $false )
| ( ( part_of @ SV13 @ SV2 )
= $false )
| ( ( part_of @ SV20 @ SV2 )
= $false )
| ( ( end_point @ SV62 @ SV20 )
= $false )
| ( ( end_point @ SV62 @ SV13 )
= $false )
| ( ( end_point @ SV62 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(433,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[75,432,431,428,427,425,424,411,410,409,408,407,405,395,394,382,378,377,373,372,358,338,329,320,318,301,291,290,289,271,266,260,247,246,239,238,227,225,223,199,175,173,169,94,90,76]) ).
thf(434,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 00:57:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 16
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.39 .
% 0.13/0.39 (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:18,loop_count:0,foatp_calls:0,translation:fof_full)..............................
% 0.42/0.64
% 0.42/0.64 ********************************
% 0.42/0.64 * All subproblems solved! *
% 0.42/0.64 ********************************
% 0.42/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:433,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.42/0.71
% 0.42/0.71 %**** Beginning of derivation protocol ****
% 0.42/0.71 % SZS output start CNFRefutation
% See solution above
% 0.54/0.71
% 0.54/0.71 %**** End of derivation protocol ****
% 0.54/0.71 %**** no. of clauses in derivation: 434 ****
% 0.54/0.71 %**** clause counter: 433 ****
% 0.54/0.71
% 0.54/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:433,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------