%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:05 AM UTC 2026
% Result : Theorem 0.98s 0.39s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 473 ( 234 unt; 0 typ; 0 def)
% Number of atoms : 3425 ( 883 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 7379 (2136 ~;1093 |; 93 &;4057 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 7 con; 0-3 aty)
% Number of variables : 1468 ( 0 ^;1408 !; 60 ?;1468 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_id,type,
id: $i > $i > $o ).
thf(tp_r1,type,
r1: $i > $o ).
thf(tp_r2,type,
r2: $i > $i > $o ).
thf(tp_r3,type,
r3: $i > $i > $i > $o ).
thf(tp_r4,type,
r4: $i > $i > $i > $o ).
thf(tp_sK10_SY137,type,
sK10_SY137: $i > $i > $i ).
thf(tp_sK11_SY141,type,
sK11_SY141: $i > $i > $i ).
thf(tp_sK12_SY108,type,
sK12_SY108: $i > $i ).
thf(tp_sK13_SY149,type,
sK13_SY149: $i ).
thf(tp_sK14_SY154,type,
sK14_SY154: $i > $i ).
thf(tp_sK15_SY155,type,
sK15_SY155: $i > $i ).
thf(tp_sK16_SY156,type,
sK16_SY156: $i > $i ).
thf(tp_sK17_SY165,type,
sK17_SY165: $i > $i > $i ).
thf(tp_sK18_SY167,type,
sK18_SY167: $i > $i > $i ).
thf(tp_sK19_SY168,type,
sK19_SY168: $i > $i > $i ).
thf(tp_sK1_Y1,type,
sK1_Y1: $i ).
thf(tp_sK20_SY170,type,
sK20_SY170: $i > $i > $i ).
thf(tp_sK21_SY109,type,
sK21_SY109: $i > $i ).
thf(tp_sK22_SY109,type,
sK22_SY109: $i > $i ).
thf(tp_sK23_SY178,type,
sK23_SY178: $i > $i ).
thf(tp_sK24_SY179,type,
sK24_SY179: $i > $i ).
thf(tp_sK25_SY176,type,
sK25_SY176: $i > $i > $i ).
thf(tp_sK26_SY177,type,
sK26_SY177: $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY71,type,
sK3_SY71: $i ).
thf(tp_sK4_SY73,type,
sK4_SY73: $i ).
thf(tp_sK5_SY82,type,
sK5_SY82: $i > $i ).
thf(tp_sK6_SY89,type,
sK6_SY89: $i > $i ).
thf(tp_sK7_SY111,type,
sK7_SY111: $i > $i ).
thf(tp_sK8_SY131,type,
sK8_SY131: $i > $i > $i ).
thf(tp_sK9_SY133,type,
sK9_SY133: $i > $i > $i ).
thf(1,axiom,
! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( id @ Y20 @ Y10 )
| ~ ( r1 @ Y20 ) )
| ~ ( r2 @ X7 @ Y10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
thf(2,axiom,
! [X6: $i] :
( ? [Y19: $i] :
( ( id @ X6 @ Y19 )
& ( r1 @ Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( id @ X6 @ Y11 )
& ( r2 @ Y1 @ Y11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6a) ).
thf(3,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( id @ Y8 @ Y18 )
& ( r1 @ Y18 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
thf(4,axiom,
! [X4: $i] :
? [Y9: $i] :
( ( id @ Y9 @ X4 )
& ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
thf(5,axiom,
! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( id @ Y13 @ Y12 )
| ~ ( r2 @ X3 @ Y13 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( id @ X3 @ X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3a) ).
thf(6,axiom,
! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y3: $i] :
( ( id @ Y3 @ Y2 )
& ? [Y14: $i] :
( ( r2 @ X9 @ Y14 )
& ( r4 @ X2 @ Y14 @ Y3 ) ) )
& ? [Y6: $i] :
( ( r3 @ Y6 @ X2 @ Y2 )
& ( r4 @ X2 @ X9 @ Y6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
thf(7,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y5: $i] :
( ( id @ Y5 @ Y4 )
& ? [Y15: $i] :
( ( r2 @ X8 @ Y15 )
& ( r3 @ X1 @ Y15 @ Y5 ) ) )
& ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r3 @ X1 @ X8 @ Y7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
thf(8,axiom,
! [X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i] :
( ~ ( id @ X38 @ X41 )
| ~ ( id @ X39 @ X42 )
| ~ ( id @ X40 @ X43 )
| ( ~ ( r4 @ X38 @ X39 @ X40 )
& ~ ( r4 @ X41 @ X42 @ X43 ) )
| ( ( r4 @ X38 @ X39 @ X40 )
& ( r4 @ X41 @ X42 @ X43 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(9,axiom,
! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ~ ( id @ X32 @ X35 )
| ~ ( id @ X33 @ X36 )
| ~ ( id @ X34 @ X37 )
| ( ~ ( r3 @ X32 @ X33 @ X34 )
& ~ ( r3 @ X35 @ X36 @ X37 ) )
| ( ( r3 @ X32 @ X33 @ X34 )
& ( r3 @ X35 @ X36 @ X37 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(10,axiom,
! [X28: $i,X29: $i,X30: $i,X31: $i] :
( ~ ( id @ X28 @ X30 )
| ~ ( id @ X29 @ X31 )
| ( ~ ( r2 @ X28 @ X29 )
& ~ ( r2 @ X30 @ X31 ) )
| ( ( r2 @ X28 @ X29 )
& ( r2 @ X30 @ X31 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(11,axiom,
! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(12,axiom,
! [X23: $i,X24: $i,X25: $i] :
( ~ ( id @ X23 @ X24 )
| ( id @ X23 @ X25 )
| ~ ( id @ X24 @ X25 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(13,axiom,
! [X21: $i,X22: $i] :
( ~ ( id @ X21 @ X22 )
| ( id @ X22 @ X21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(14,axiom,
! [X20: $i] : ( id @ X20 @ X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(15,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ( id @ X18 @ Y23 )
& ( r4 @ X16 @ X17 @ X18 ) )
| ( ~ ( r4 @ X16 @ X17 @ X18 )
& ~ ( id @ X18 @ Y23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(16,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ( id @ X15 @ Y22 )
& ( r3 @ X13 @ X14 @ X15 ) )
| ( ~ ( r3 @ X13 @ X14 @ X15 )
& ~ ( id @ X15 @ Y22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(17,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ( id @ X12 @ Y21 )
& ( r2 @ X11 @ X12 ) )
| ( ~ ( r2 @ X11 @ X12 )
& ~ ( id @ X12 @ Y21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(18,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ X19 @ Y24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(19,conjecture,
! [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ~ ( id @ Y4 @ Y1 )
| ~ ( r1 @ Y4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerounidtwo) ).
thf(20,negated_conjecture,
( ( ! [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ~ ( id @ Y4 @ Y1 )
| ~ ( r1 @ Y4 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ~ ( id @ Y4 @ Y1 )
| ~ ( r1 @ Y4 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( id @ Y20 @ Y10 )
| ~ ( r1 @ Y20 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( ! [X6: $i] :
( ? [Y19: $i] :
( ( id @ X6 @ Y19 )
& ( r1 @ Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( id @ X6 @ Y11 )
& ( r2 @ Y1 @ Y11 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( ! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( id @ Y8 @ Y18 )
& ( r1 @ Y18 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [X4: $i] :
? [Y9: $i] :
( ( id @ Y9 @ X4 )
& ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( id @ Y13 @ Y12 )
| ~ ( r2 @ X3 @ Y13 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( id @ X3 @ X10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( ! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y3: $i] :
( ( id @ Y3 @ Y2 )
& ? [Y14: $i] :
( ( r2 @ X9 @ Y14 )
& ( r4 @ X2 @ Y14 @ Y3 ) ) )
& ? [Y6: $i] :
( ( r3 @ Y6 @ X2 @ Y2 )
& ( r4 @ X2 @ X9 @ Y6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( ! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y5: $i] :
( ( id @ Y5 @ Y4 )
& ? [Y15: $i] :
( ( r2 @ X8 @ Y15 )
& ( r3 @ X1 @ Y15 @ Y5 ) ) )
& ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r3 @ X1 @ X8 @ Y7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( ! [X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i] :
( ~ ( id @ X38 @ X41 )
| ~ ( id @ X39 @ X42 )
| ~ ( id @ X40 @ X43 )
| ( ~ ( r4 @ X38 @ X39 @ X40 )
& ~ ( r4 @ X41 @ X42 @ X43 ) )
| ( ( r4 @ X38 @ X39 @ X40 )
& ( r4 @ X41 @ X42 @ X43 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( ! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ~ ( id @ X32 @ X35 )
| ~ ( id @ X33 @ X36 )
| ~ ( id @ X34 @ X37 )
| ( ~ ( r3 @ X32 @ X33 @ X34 )
& ~ ( r3 @ X35 @ X36 @ X37 ) )
| ( ( r3 @ X32 @ X33 @ X34 )
& ( r3 @ X35 @ X36 @ X37 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( ! [X28: $i,X29: $i,X30: $i,X31: $i] :
( ~ ( id @ X28 @ X30 )
| ~ ( id @ X29 @ X31 )
| ( ~ ( r2 @ X28 @ X29 )
& ~ ( r2 @ X30 @ X31 ) )
| ( ( r2 @ X28 @ X29 )
& ( r2 @ X30 @ X31 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( ! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( ! [X23: $i,X24: $i,X25: $i] :
( ~ ( id @ X23 @ X24 )
| ( id @ X23 @ X25 )
| ~ ( id @ X24 @ X25 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( ! [X21: $i,X22: $i] :
( ~ ( id @ X21 @ X22 )
| ( id @ X22 @ X21 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [X20: $i] : ( id @ X20 @ X20 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( ! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ( id @ X18 @ Y23 )
& ( r4 @ X16 @ X17 @ X18 ) )
| ( ~ ( r4 @ X16 @ X17 @ X18 )
& ~ ( id @ X18 @ Y23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ( id @ X15 @ Y22 )
& ( r3 @ X13 @ X14 @ X15 ) )
| ( ~ ( r3 @ X13 @ X14 @ X15 )
& ~ ( id @ X15 @ Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ( id @ X12 @ Y21 )
& ( r2 @ X11 @ X12 ) )
| ( ~ ( r2 @ X11 @ X12 )
& ~ ( id @ X12 @ Y21 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ X19 @ Y24 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [SY71: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY71 ) )
| ~ ( r2 @ SY71 @ sK1_Y1 ) )
| ! [SY73: $i] :
( ~ ( id @ SY73 @ sK1_Y1 )
| ~ ( r1 @ SY73 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(41,plain,
( ( ~ ( ! [SY71: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY71 ) )
| ~ ( r2 @ SY71 @ sK1_Y1 ) )
| ! [SY73: $i] :
( ~ ( id @ SY73 @ sK1_Y1 )
| ~ ( r1 @ SY73 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(42,plain,
( ( ? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ X19 @ Y24 ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ( id @ X12 @ Y21 )
& ( r2 @ X11 @ X12 ) )
| ( ~ ( r2 @ X11 @ X12 )
& ~ ( id @ X12 @ Y21 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(44,plain,
( ( ! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ( id @ X15 @ Y22 )
& ( r3 @ X13 @ X14 @ X15 ) )
| ( ~ ( r3 @ X13 @ X14 @ X15 )
& ~ ( id @ X15 @ Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(45,plain,
( ( ! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ( id @ X18 @ Y23 )
& ( r4 @ X16 @ X17 @ X18 ) )
| ( ~ ( r4 @ X16 @ X17 @ X18 )
& ~ ( id @ X18 @ Y23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(46,plain,
( ( ! [X20: $i] : ( id @ X20 @ X20 ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(47,plain,
( ( ! [X21: $i,X22: $i] :
( ~ ( id @ X21 @ X22 )
| ( id @ X22 @ X21 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [X23: $i,X24: $i,X25: $i] :
( ~ ( id @ X23 @ X24 )
| ( id @ X23 @ X25 )
| ~ ( id @ X24 @ X25 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(49,plain,
( ( ! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(50,plain,
( ( ! [X28: $i,X29: $i,X30: $i,X31: $i] :
( ~ ( id @ X28 @ X30 )
| ~ ( id @ X29 @ X31 )
| ( ~ ( r2 @ X28 @ X29 )
& ~ ( r2 @ X30 @ X31 ) )
| ( ( r2 @ X28 @ X29 )
& ( r2 @ X30 @ X31 ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(51,plain,
( ( ! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ~ ( id @ X32 @ X35 )
| ~ ( id @ X33 @ X36 )
| ~ ( id @ X34 @ X37 )
| ( ~ ( r3 @ X32 @ X33 @ X34 )
& ~ ( r3 @ X35 @ X36 @ X37 ) )
| ( ( r3 @ X32 @ X33 @ X34 )
& ( r3 @ X35 @ X36 @ X37 ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(52,plain,
( ( ! [X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i] :
( ~ ( id @ X38 @ X41 )
| ~ ( id @ X39 @ X42 )
| ~ ( id @ X40 @ X43 )
| ( ~ ( r4 @ X38 @ X39 @ X40 )
& ~ ( r4 @ X41 @ X42 @ X43 ) )
| ( ( r4 @ X38 @ X39 @ X40 )
& ( r4 @ X41 @ X42 @ X43 ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(53,plain,
( ( ! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y5: $i] :
( ( id @ Y5 @ Y4 )
& ? [Y15: $i] :
( ( r2 @ X8 @ Y15 )
& ( r3 @ X1 @ Y15 @ Y5 ) ) )
& ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r3 @ X1 @ X8 @ Y7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(54,plain,
( ( ! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y3: $i] :
( ( id @ Y3 @ Y2 )
& ? [Y14: $i] :
( ( r2 @ X9 @ Y14 )
& ( r4 @ X2 @ Y14 @ Y3 ) ) )
& ? [Y6: $i] :
( ( r3 @ Y6 @ X2 @ Y2 )
& ( r4 @ X2 @ X9 @ Y6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(55,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( id @ Y13 @ Y12 )
| ~ ( r2 @ X3 @ Y13 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( id @ X3 @ X10 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(56,plain,
( ( ! [X4: $i] :
? [Y9: $i] :
( ( id @ Y9 @ X4 )
& ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(57,plain,
( ( ! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( id @ Y8 @ Y18 )
& ( r1 @ Y18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(58,plain,
( ( ! [X6: $i] :
( ? [Y19: $i] :
( ( id @ X6 @ Y19 )
& ( r1 @ Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( id @ X6 @ Y11 )
& ( r2 @ Y1 @ Y11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(59,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( id @ Y20 @ Y10 )
| ~ ( r1 @ Y20 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(60,plain,
( ( ~ ( ! [SY71: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY71 ) )
| ~ ( r2 @ SY71 @ sK1_Y1 ) )
| ! [SY73: $i] :
( ~ ( id @ SY73 @ sK1_Y1 )
| ~ ( r1 @ SY73 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(61,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
( ~ ( ~ ( id @ SX2 @ SX1 )
| ~ ( r2 @ SX0 @ SX2 ) )
| ~ ( ~ ~ ( r2 @ SX0 @ SX2 )
| ~ ~ ( id @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( id @ SX0 @ SX3 )
| ~ ( id @ SX1 @ SX4 )
| ~ ( id @ SX2 @ SX5 )
| ~ ( ~ ~ ( r3 @ SX0 @ SX1 @ SX2 )
| ~ ~ ( r3 @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ( r3 @ SX0 @ SX1 @ SX2 )
| ~ ( r3 @ SX3 @ SX4 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(63,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ( id @ SX1 @ SX0 )
| ~ ( r1 @ SX1 ) )
| ~ ( ~ ~ ( r1 @ SX1 )
| ~ ~ ( id @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(64,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ~ ( r4 @ SX0 @ SX2 @ SX1 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( id @ SX1 @ SX2 )
| ~ ( r1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( ~ ( id @ SX3 @ SX2 )
| ~ ( r3 @ SX0 @ SX1 @ SX3 ) )
| ~ ( ~ ~ ( r3 @ SX0 @ SX1 @ SX3 )
| ~ ~ ( id @ SX3 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(66,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( id @ SX3 @ SX2 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX4 )
| ~ ( r3 @ SX0 @ SX4 @ SX3 ) ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r2 @ SX3 @ SX2 )
| ~ ( r3 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(67,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( id @ SX3 @ SX2 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX4 )
| ~ ( r4 @ SX0 @ SX4 @ SX3 ) ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r3 @ SX3 @ SX0 @ SX2 )
| ~ ( r4 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( ~ ( id @ SX3 @ SX2 )
| ~ ( r4 @ SX0 @ SX1 @ SX3 ) )
| ~ ( ~ ~ ( r4 @ SX0 @ SX1 @ SX3 )
| ~ ~ ( id @ SX3 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(69,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ~ ( ~ ( id @ SX0 @ SX1 )
| ~ ( r1 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( id @ SX0 @ SX2 )
| ~ ( r2 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(70,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( id @ SX1 @ SX0 )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ~ ( r3 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( id @ SX0 @ SX3 )
| ~ ( id @ SX1 @ SX4 )
| ~ ( id @ SX2 @ SX5 )
| ~ ( ~ ~ ( r4 @ SX0 @ SX1 @ SX2 )
| ~ ~ ( r4 @ SX3 @ SX4 @ SX5 ) )
| ~ ( ~ ( r4 @ SX0 @ SX1 @ SX2 )
| ~ ( r4 @ SX3 @ SX4 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( id @ SX0 @ SX1 )
| ~ ( ~ ~ ( r1 @ SX0 )
| ~ ~ ( r1 @ SX1 ) )
| ~ ( ~ ( r1 @ SX0 )
| ~ ( r1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( id @ SX0 @ SX2 )
| ~ ( id @ SX1 @ SX3 )
| ~ ( ~ ~ ( r2 @ SX0 @ SX1 )
| ~ ~ ( r2 @ SX2 @ SX3 ) )
| ~ ( ~ ( r2 @ SX0 @ SX1 )
| ~ ( r2 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(74,plain,
! [SV1: $i] :
( ( id @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(75,plain,
! [SV2: $i] :
( ( ! [SY74: $i] :
( ~ ( id @ SV2 @ SY74 )
| ( id @ SY74 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(76,plain,
! [SV3: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ( id @ SV3 @ SY75 )
| ( id @ SV3 @ SY76 )
| ~ ( id @ SY75 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(77,plain,
! [SV4: $i] :
( ( ! [SY77: $i] :
( ! [SY78: $i] :
( ! [SY79: $i] :
( ~ ( id @ SY79 @ SY78 )
| ~ ( r2 @ SV4 @ SY79 ) )
| ~ ( r2 @ SY77 @ SY78 ) )
| ( id @ SV4 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(78,plain,
! [SV5: $i] :
( ( ! [SY80: $i] :
( ! [Y20: $i] :
( ~ ( id @ Y20 @ SY80 )
| ~ ( r1 @ Y20 ) )
| ~ ( r2 @ SV5 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
( ( ! [SY71: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY71 ) )
| ~ ( r2 @ SY71 @ sK1_Y1 ) )
| ! [SY73: $i] :
( ~ ( id @ SY73 @ sK1_Y1 )
| ~ ( r1 @ SY73 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(80,plain,
! [SV6: $i] :
( ( ~ ! [SY82: $i] :
~ ! [SY83: $i] :
( ~ ( ~ ( id @ SY83 @ SY82 )
| ~ ( r2 @ SV6 @ SY83 ) )
| ~ ( ~ ~ ( r2 @ SV6 @ SY83 )
| ~ ~ ( id @ SY83 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(81,plain,
! [SV7: $i] :
( ( ! [SY84: $i,SY85: $i,SY86: $i,SY87: $i,SY88: $i] :
( ~ ( id @ SV7 @ SY86 )
| ~ ( id @ SY84 @ SY87 )
| ~ ( id @ SY85 @ SY88 )
| ~ ( ~ ~ ( r3 @ SV7 @ SY84 @ SY85 )
| ~ ~ ( r3 @ SY86 @ SY87 @ SY88 ) )
| ~ ( ~ ( r3 @ SV7 @ SY84 @ SY85 )
| ~ ( r3 @ SY86 @ SY87 @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(82,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ( id @ SX1 @ SX0 )
| ~ ( r1 @ SX1 ) )
| ~ ( ~ ~ ( r1 @ SX1 )
| ~ ~ ( id @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV8: $i] :
( ( ~ ! [SY89: $i] :
~ ~ ( ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( r1 @ SY90 )
| ~ ( r4 @ SV8 @ SY90 @ SY89 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( id @ SY89 @ SX2 )
| ~ ( r1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV9: $i] :
( ( ! [SY92: $i] :
~ ! [SY93: $i] :
~ ! [SY94: $i] :
( ~ ( ~ ( id @ SY94 @ SY93 )
| ~ ( r3 @ SV9 @ SY92 @ SY94 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SY92 @ SY94 )
| ~ ~ ( id @ SY94 @ SY93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(85,plain,
! [SV10: $i] :
( ( ! [SY95: $i] :
~ ! [SY96: $i] :
~ ~ ( ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( id @ SY97 @ SY96 )
| ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( r2 @ SY95 @ SY98 )
| ~ ( r3 @ SV10 @ SY98 @ SY97 ) ) )
| ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( r2 @ SY99 @ SY96 )
| ~ ( r3 @ SV10 @ SY95 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(86,plain,
! [SV11: $i] :
( ( ! [SY100: $i] :
~ ! [SY101: $i] :
~ ~ ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( id @ SY102 @ SY101 )
| ~ ~ ! [SY103: $i] :
~ ~ ( ~ ( r2 @ SY100 @ SY103 )
| ~ ( r4 @ SV11 @ SY103 @ SY102 ) ) )
| ~ ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV11 @ SY101 )
| ~ ( r4 @ SV11 @ SY100 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(87,plain,
! [SV12: $i] :
( ( ! [SY105: $i] :
~ ! [SY106: $i] :
~ ! [SY107: $i] :
( ~ ( ~ ( id @ SY107 @ SY106 )
| ~ ( r4 @ SV12 @ SY105 @ SY107 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SY105 @ SY107 )
| ~ ~ ( id @ SY107 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(88,plain,
! [SV13: $i] :
( ( ~ ! [SY108: $i] :
~ ~ ( ~ ( id @ SV13 @ SY108 )
| ~ ( r1 @ SY108 ) )
| ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(89,plain,
! [SV14: $i] :
( ( ~ ! [SY111: $i] :
~ ~ ( ~ ( id @ SY111 @ SV14 )
| ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( r1 @ SY112 )
| ~ ( r3 @ SV14 @ SY112 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(90,plain,
! [SV15: $i] :
( ( ! [SY113: $i,SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ~ ( id @ SV15 @ SY115 )
| ~ ( id @ SY113 @ SY116 )
| ~ ( id @ SY114 @ SY117 )
| ~ ( ~ ~ ( r4 @ SV15 @ SY113 @ SY114 )
| ~ ~ ( r4 @ SY115 @ SY116 @ SY117 ) )
| ~ ( ~ ( r4 @ SV15 @ SY113 @ SY114 )
| ~ ( r4 @ SY115 @ SY116 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV16: $i] :
( ( ! [SY118: $i] :
( ~ ( id @ SV16 @ SY118 )
| ~ ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SY118 ) )
| ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV17: $i] :
( ( ! [SY119: $i,SY120: $i,SY121: $i] :
( ~ ( id @ SV17 @ SY120 )
| ~ ( id @ SY119 @ SY121 )
| ~ ( ~ ~ ( r2 @ SV17 @ SY119 )
| ~ ~ ( r2 @ SY120 @ SY121 ) )
| ~ ( ~ ( r2 @ SV17 @ SY119 )
| ~ ( r2 @ SY120 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV18: $i,SV2: $i] :
( ( ~ ( id @ SV2 @ SV18 )
| ( id @ SV18 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(94,plain,
! [SV19: $i,SV3: $i] :
( ( ! [SY122: $i] :
( ~ ( id @ SV3 @ SV19 )
| ( id @ SV3 @ SY122 )
| ~ ( id @ SV19 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(95,plain,
! [SV20: $i,SV4: $i] :
( ( ! [SY123: $i] :
( ! [SY79: $i] :
( ~ ( id @ SY79 @ SY123 )
| ~ ( r2 @ SV4 @ SY79 ) )
| ~ ( r2 @ SV20 @ SY123 ) )
| ( id @ SV4 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(96,plain,
! [SV5: $i,SV21: $i] :
( ( ! [SY125: $i] :
( ~ ( id @ SY125 @ SV21 )
| ~ ( r1 @ SY125 ) )
| ~ ( r2 @ SV5 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(97,plain,
( ( ! [SY71: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY71 ) )
| ~ ( r2 @ SY71 @ sK1_Y1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(98,plain,
( ( ! [SY73: $i] :
( ~ ( id @ SY73 @ sK1_Y1 )
| ~ ( r1 @ SY73 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(99,plain,
! [SV6: $i] :
( ( ! [SY82: $i] :
~ ! [SY83: $i] :
( ~ ( ~ ( id @ SY83 @ SY82 )
| ~ ( r2 @ SV6 @ SY83 ) )
| ~ ( ~ ~ ( r2 @ SV6 @ SY83 )
| ~ ~ ( id @ SY83 @ SY82 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(100,plain,
! [SV22: $i,SV7: $i] :
( ( ! [SY126: $i,SY127: $i,SY128: $i,SY129: $i] :
( ~ ( id @ SV7 @ SY127 )
| ~ ( id @ SV22 @ SY128 )
| ~ ( id @ SY126 @ SY129 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SY126 )
| ~ ~ ( r3 @ SY127 @ SY128 @ SY129 ) )
| ~ ( ~ ( r3 @ SV7 @ SV22 @ SY126 )
| ~ ( r3 @ SY127 @ SY128 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(101,plain,
( ( ~ ! [SY130: $i] :
( ~ ( ~ ( id @ SY130 @ sK2_SX0 )
| ~ ( r1 @ SY130 ) )
| ~ ( ~ ~ ( r1 @ SY130 )
| ~ ~ ( id @ SY130 @ sK2_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(102,plain,
! [SV8: $i] :
( ( ! [SY89: $i] :
~ ~ ( ~ ~ ! [SY90: $i] :
~ ~ ( ~ ( r1 @ SY90 )
| ~ ( r4 @ SV8 @ SY90 @ SY89 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( id @ SY89 @ SX2 )
| ~ ( r1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(103,plain,
! [SV23: $i,SV9: $i] :
( ( ~ ! [SY131: $i] :
~ ! [SY132: $i] :
( ~ ( ~ ( id @ SY132 @ SY131 )
| ~ ( r3 @ SV9 @ SV23 @ SY132 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SY132 )
| ~ ~ ( id @ SY132 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ! [SY133: $i] :
~ ~ ( ~ ~ ! [SY134: $i] :
~ ~ ( ~ ( id @ SY134 @ SY133 )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY134 ) ) )
| ~ ~ ! [SY136: $i] :
~ ~ ( ~ ( r2 @ SY136 @ SY133 )
| ~ ( r3 @ SV10 @ SV24 @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(105,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ! [SY137: $i] :
~ ~ ( ~ ~ ! [SY138: $i] :
~ ~ ( ~ ( id @ SY138 @ SY137 )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY138 ) ) )
| ~ ~ ! [SY140: $i] :
~ ~ ( ~ ( r3 @ SY140 @ SV11 @ SY137 )
| ~ ( r4 @ SV11 @ SV25 @ SY140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY141: $i] :
~ ! [SY142: $i] :
( ~ ( ~ ( id @ SY142 @ SY141 )
| ~ ( r4 @ SV12 @ SV26 @ SY142 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SY142 )
| ~ ~ ( id @ SY142 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV13: $i] :
( ( ( ~ ! [SY108: $i] :
~ ~ ( ~ ( id @ SV13 @ SY108 )
| ~ ( r1 @ SY108 ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV14: $i] :
( ( ! [SY111: $i] :
~ ~ ( ~ ( id @ SY111 @ SV14 )
| ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( r1 @ SY112 )
| ~ ( r3 @ SV14 @ SY112 @ SY111 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV27: $i,SV15: $i] :
( ( ! [SY143: $i,SY144: $i,SY145: $i,SY146: $i] :
( ~ ( id @ SV15 @ SY144 )
| ~ ( id @ SV27 @ SY145 )
| ~ ( id @ SY143 @ SY146 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SY143 )
| ~ ~ ( r4 @ SY144 @ SY145 @ SY146 ) )
| ~ ( ~ ( r4 @ SV15 @ SV27 @ SY143 )
| ~ ( r4 @ SY144 @ SY145 @ SY146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV28: $i,SV16: $i] :
( ( ~ ( id @ SV16 @ SV28 )
| ~ ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SV28 ) )
| ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV29: $i,SV17: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ~ ( id @ SV17 @ SY147 )
| ~ ( id @ SV29 @ SY148 )
| ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SY147 @ SY148 ) )
| ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SY147 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV18: $i,SV2: $i] :
( ( ( ~ ( id @ SV2 @ SV18 ) )
= $true )
| ( ( id @ SV18 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV30: $i,SV19: $i,SV3: $i] :
( ( ~ ( id @ SV3 @ SV19 )
| ( id @ SV3 @ SV30 )
| ~ ( id @ SV19 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV20: $i,SV4: $i] :
( ( ( ! [SY123: $i] :
( ! [SY79: $i] :
( ~ ( id @ SY79 @ SY123 )
| ~ ( r2 @ SV4 @ SY79 ) )
| ~ ( r2 @ SV20 @ SY123 ) ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV5: $i,SV21: $i] :
( ( ( ! [SY125: $i] :
( ~ ( id @ SY125 @ SV21 )
| ~ ( r1 @ SY125 ) ) )
= $true )
| ( ( ~ ( r2 @ SV5 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(116,plain,
( ( ! [SY149: $i] :
( ~ ( r1 @ SY149 )
| ~ ( r2 @ SY149 @ sK3_SY71 ) )
| ~ ( r2 @ sK3_SY71 @ sK1_Y1 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(117,plain,
( ( ~ ( id @ sK4_SY73 @ sK1_Y1 )
| ~ ( r1 @ sK4_SY73 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(118,plain,
! [SV6: $i] :
( ( ~ ! [SY150: $i] :
( ~ ( ~ ( id @ SY150 @ ( sK5_SY82 @ SV6 ) )
| ~ ( r2 @ SV6 @ SY150 ) )
| ~ ( ~ ~ ( r2 @ SV6 @ SY150 )
| ~ ~ ( id @ SY150 @ ( sK5_SY82 @ SV6 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[99]) ).
thf(119,plain,
! [SV31: $i,SV22: $i,SV7: $i] :
( ( ! [SY151: $i,SY152: $i,SY153: $i] :
( ~ ( id @ SV7 @ SY151 )
| ~ ( id @ SV22 @ SY152 )
| ~ ( id @ SV31 @ SY153 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SY151 @ SY152 @ SY153 ) )
| ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SY151 @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(120,plain,
( ( ! [SY130: $i] :
( ~ ( ~ ( id @ SY130 @ sK2_SX0 )
| ~ ( r1 @ SY130 ) )
| ~ ( ~ ~ ( r1 @ SY130 )
| ~ ~ ( id @ SY130 @ sK2_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(121,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ~ ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) )
| ~ ~ ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(122,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY131: $i] :
~ ! [SY132: $i] :
( ~ ( ~ ( id @ SY132 @ SY131 )
| ~ ( r3 @ SV9 @ SV23 @ SY132 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SY132 )
| ~ ~ ( id @ SY132 @ SY131 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV10: $i,SV24: $i] :
( ( ! [SY133: $i] :
~ ~ ( ~ ~ ! [SY134: $i] :
~ ~ ( ~ ( id @ SY134 @ SY133 )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY134 ) ) )
| ~ ~ ! [SY136: $i] :
~ ~ ( ~ ( r2 @ SY136 @ SY133 )
| ~ ( r3 @ SV10 @ SV24 @ SY136 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV11: $i,SV25: $i] :
( ( ! [SY137: $i] :
~ ~ ( ~ ~ ! [SY138: $i] :
~ ~ ( ~ ( id @ SY138 @ SY137 )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY138 ) ) )
| ~ ~ ! [SY140: $i] :
~ ~ ( ~ ( r3 @ SY140 @ SV11 @ SY137 )
| ~ ( r4 @ SV11 @ SV25 @ SY140 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY141: $i] :
~ ! [SY142: $i] :
( ~ ( ~ ( id @ SY142 @ SY141 )
| ~ ( r4 @ SV12 @ SV26 @ SY142 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SY142 )
| ~ ~ ( id @ SY142 @ SY141 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV13: $i] :
( ( ( ! [SY108: $i] :
~ ~ ( ~ ( id @ SV13 @ SY108 )
| ~ ( r1 @ SY108 ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ( id @ ( sK7_SY111 @ SV14 ) @ SV14 )
| ~ ~ ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(128,plain,
! [SV32: $i,SV27: $i,SV15: $i] :
( ( ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ( id @ SV15 @ SY157 )
| ~ ( id @ SV27 @ SY158 )
| ~ ( id @ SV32 @ SY159 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SY157 @ SY158 @ SY159 ) )
| ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SY157 @ SY158 @ SY159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( id @ SV16 @ SV28 )
| ~ ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV29: $i,SV33: $i,SV17: $i] :
( ( ! [SY160: $i] :
( ~ ( id @ SV17 @ SV33 )
| ~ ( id @ SV29 @ SY160 )
| ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SY160 ) )
| ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV18: $i,SV2: $i] :
( ( ( id @ SV2 @ SV18 )
= $false )
| ( ( id @ SV18 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(132,plain,
! [SV30: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( id @ SV3 @ SV19 )
| ( id @ SV3 @ SV30 ) )
= $true )
| ( ( ~ ( id @ SV19 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(133,plain,
! [SV20: $i,SV4: $i,SV34: $i] :
( ( ( ! [SY161: $i] :
( ~ ( id @ SY161 @ SV34 )
| ~ ( r2 @ SV4 @ SY161 ) )
| ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(134,plain,
! [SV5: $i,SV21: $i,SV35: $i] :
( ( ( ~ ( id @ SV35 @ SV21 )
| ~ ( r1 @ SV35 ) )
= $true )
| ( ( ~ ( r2 @ SV5 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(135,plain,
( ( ! [SY149: $i] :
( ~ ( r1 @ SY149 )
| ~ ( r2 @ SY149 @ sK3_SY71 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(136,plain,
( ( ~ ( r2 @ sK3_SY71 @ sK1_Y1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(137,plain,
( ( ~ ( id @ sK4_SY73 @ sK1_Y1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(138,plain,
( ( ~ ( r1 @ sK4_SY73 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(139,plain,
! [SV6: $i] :
( ( ! [SY150: $i] :
( ~ ( ~ ( id @ SY150 @ ( sK5_SY82 @ SV6 ) )
| ~ ( r2 @ SV6 @ SY150 ) )
| ~ ( ~ ~ ( r2 @ SV6 @ SY150 )
| ~ ~ ( id @ SY150 @ ( sK5_SY82 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(140,plain,
! [SV31: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SY162 )
| ~ ( id @ SV31 @ SY163 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SY162 @ SY163 ) )
| ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SY162 @ SY163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV37: $i] :
( ( ~ ( ~ ( id @ SV37 @ sK2_SX0 )
| ~ ( r1 @ SV37 ) )
| ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) )
| ~ ~ ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(143,plain,
! [SV9: $i,SV23: $i] :
( ( ~ ! [SY164: $i] :
( ~ ( ~ ( id @ SY164 @ ( sK8_SY131 @ SV23 @ SV9 ) )
| ~ ( r3 @ SV9 @ SV23 @ SY164 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SY164 )
| ~ ~ ( id @ SY164 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(144,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) )
| ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(145,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) )
| ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(146,plain,
! [SV12: $i,SV26: $i] :
( ( ~ ! [SY171: $i] :
( ~ ( ~ ( id @ SY171 @ ( sK11_SY141 @ SV26 @ SV12 ) )
| ~ ( r4 @ SV12 @ SV26 @ SY171 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SY171 )
| ~ ~ ( id @ SY171 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(147,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
| ~ ( r1 @ ( sK12_SY108 @ SV13 ) ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(148,plain,
! [SV14: $i] :
( ( ~ ( ~ ( id @ ( sK7_SY111 @ SV14 ) @ SV14 )
| ~ ~ ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(149,plain,
! [SV32: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ! [SY172: $i,SY173: $i] :
( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SY172 )
| ~ ( id @ SV32 @ SY173 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SY172 @ SY173 ) )
| ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SY172 @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(150,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( id @ SV16 @ SV28 ) )
= $true )
| ( ( ~ ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV39: $i,SV29: $i,SV33: $i,SV17: $i] :
( ( ~ ( id @ SV17 @ SV33 )
| ~ ( id @ SV29 @ SV39 )
| ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) )
| ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV30: $i,SV19: $i,SV3: $i] :
( ( ( ~ ( id @ SV3 @ SV19 ) )
= $true )
| ( ( id @ SV3 @ SV30 )
= $true )
| ( ( ~ ( id @ SV19 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(153,plain,
! [SV20: $i,SV4: $i,SV34: $i] :
( ( ( ! [SY161: $i] :
( ~ ( id @ SY161 @ SV34 )
| ~ ( r2 @ SV4 @ SY161 ) ) )
= $true )
| ( ( ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(154,plain,
! [SV5: $i,SV21: $i,SV35: $i] :
( ( ( ~ ( id @ SV35 @ SV21 ) )
= $true )
| ( ( ~ ( r1 @ SV35 ) )
= $true )
| ( ( ~ ( r2 @ SV5 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(155,plain,
( ( ~ ( r1 @ sK13_SY149 )
| ~ ( r2 @ sK13_SY149 @ sK3_SY71 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(156,plain,
( ( r2 @ sK3_SY71 @ sK1_Y1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(157,plain,
( ( id @ sK4_SY73 @ sK1_Y1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(158,plain,
( ( r1 @ sK4_SY73 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(159,plain,
! [SV6: $i,SV40: $i] :
( ( ~ ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
| ~ ( r2 @ SV6 @ SV40 ) )
| ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(160,plain,
! [SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ! [SY174: $i] :
( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SV41 )
| ~ ( id @ SV31 @ SY174 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SY174 ) )
| ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SY174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(161,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( id @ SV37 @ sK2_SX0 )
| ~ ( r1 @ SV37 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(162,plain,
! [SV8: $i] :
( ( ~ ~ ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) )
| ~ ~ ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(163,plain,
! [SV9: $i,SV23: $i] :
( ( ! [SY164: $i] :
( ~ ( ~ ( id @ SY164 @ ( sK8_SY131 @ SV23 @ SV9 ) )
| ~ ( r3 @ SV9 @ SV23 @ SY164 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SY164 )
| ~ ~ ( id @ SY164 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(164,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ~ ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) )
| ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(165,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( ~ ~ ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) )
| ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(166,plain,
! [SV12: $i,SV26: $i] :
( ( ! [SY171: $i] :
( ~ ( ~ ( id @ SY171 @ ( sK11_SY141 @ SV26 @ SV12 ) )
| ~ ( r4 @ SV12 @ SV26 @ SY171 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SY171 )
| ~ ~ ( id @ SY171 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(167,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
| ~ ( r1 @ ( sK12_SY108 @ SV13 ) ) ) )
= $true )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(168,plain,
! [SV14: $i] :
( ( ~ ( id @ ( sK7_SY111 @ SV14 ) @ SV14 )
| ~ ~ ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(169,plain,
! [SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ! [SY175: $i] :
( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SV42 )
| ~ ( id @ SV32 @ SY175 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SY175 ) )
| ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SY175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV28: $i,SV16: $i] :
( ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(171,plain,
! [SV39: $i,SV29: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( id @ SV17 @ SV33 )
| ~ ( id @ SV29 @ SV39 )
| ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(172,plain,
! [SV30: $i,SV19: $i,SV3: $i] :
( ( ( id @ SV3 @ SV19 )
= $false )
| ( ( id @ SV3 @ SV30 )
= $true )
| ( ( ~ ( id @ SV19 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(173,plain,
! [SV20: $i,SV4: $i,SV34: $i,SV43: $i] :
( ( ( ~ ( id @ SV43 @ SV34 )
| ~ ( r2 @ SV4 @ SV43 ) )
= $true )
| ( ( ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(174,plain,
! [SV5: $i,SV21: $i,SV35: $i] :
( ( ( id @ SV35 @ SV21 )
= $false )
| ( ( ~ ( r1 @ SV35 ) )
= $true )
| ( ( ~ ( r2 @ SV5 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(175,plain,
( ( ~ ( r1 @ sK13_SY149 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(176,plain,
( ( ~ ( r2 @ sK13_SY149 @ sK3_SY71 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(177,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
| ~ ( r2 @ SV6 @ SV40 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(178,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SV41 )
| ~ ( id @ SV31 @ SV44 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
| ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(179,plain,
! [SV37: $i] :
( ( ( ~ ( id @ SV37 @ sK2_SX0 )
| ~ ( r1 @ SV37 ) )
= $false )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(180,plain,
! [SV8: $i] :
( ( ~ ~ ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(181,plain,
! [SV8: $i] :
( ( ~ ~ ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(182,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ~ ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
| ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
| ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(183,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ~ ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) )
| ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(184,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ~ ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) )
| ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(185,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ~ ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
| ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
| ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(186,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
| ~ ( r1 @ ( sK12_SY108 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(187,plain,
! [SV14: $i] :
( ( ~ ( id @ ( sK7_SY111 @ SV14 ) @ SV14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(188,plain,
! [SV14: $i] :
( ( ~ ~ ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(189,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SV42 )
| ~ ( id @ SV32 @ SV47 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
| ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(190,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ~ ( r1 @ SV16 )
| ~ ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(191,plain,
! [SV39: $i,SV29: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( id @ SV17 @ SV33 )
| ~ ( id @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(192,plain,
! [SV3: $i,SV30: $i,SV19: $i] :
( ( ( id @ SV19 @ SV30 )
= $false )
| ( ( id @ SV3 @ SV30 )
= $true )
| ( ( id @ SV3 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(193,plain,
! [SV20: $i,SV4: $i,SV34: $i,SV43: $i] :
( ( ( ~ ( id @ SV43 @ SV34 ) )
= $true )
| ( ( ~ ( r2 @ SV4 @ SV43 ) )
= $true )
| ( ( ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(194,plain,
! [SV5: $i,SV21: $i,SV35: $i] :
( ( ( r1 @ SV35 )
= $false )
| ( ( id @ SV35 @ SV21 )
= $false )
| ( ( ~ ( r2 @ SV5 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(195,plain,
( ( r1 @ sK13_SY149 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(196,plain,
( ( r2 @ sK13_SY149 @ sK3_SY71 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(197,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
| ~ ( r2 @ SV6 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(198,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SV41 )
| ~ ( id @ SV31 @ SV44 )
| ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(199,plain,
! [SV37: $i] :
( ( ( ~ ( id @ SV37 @ sK2_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(200,plain,
! [SV37: $i] :
( ( ( ~ ( r1 @ SV37 ) )
= $false )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(201,plain,
! [SV8: $i] :
( ( ~ ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(202,plain,
! [SV8: $i] :
( ( ~ ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(203,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
| ~ ( r3 @ SV9 @ SV23 @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ~ ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(205,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(206,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ~ ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(207,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(208,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
| ~ ( r4 @ SV12 @ SV26 @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(209,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK12_SY108 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(210,plain,
! [SV13: $i] :
( ( ( ~ ( r1 @ ( sK12_SY108 @ SV13 ) ) )
= $false )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(211,plain,
! [SV14: $i] :
( ( id @ ( sK7_SY111 @ SV14 ) @ SV14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(212,plain,
! [SV14: $i] :
( ( ~ ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(213,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SV42 )
| ~ ( id @ SV32 @ SV47 )
| ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(214,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ~ ( r1 @ SV16 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(215,plain,
! [SV16: $i,SV28: $i] :
( ( ( ~ ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(216,plain,
! [SV39: $i,SV29: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( id @ SV17 @ SV33 ) )
= $true )
| ( ( ~ ( id @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(217,plain,
! [SV20: $i,SV4: $i,SV34: $i,SV43: $i] :
( ( ( id @ SV43 @ SV34 )
= $false )
| ( ( ~ ( r2 @ SV4 @ SV43 ) )
= $true )
| ( ( ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(218,plain,
! [SV35: $i,SV21: $i,SV5: $i] :
( ( ( r2 @ SV5 @ SV21 )
= $false )
| ( ( id @ SV35 @ SV21 )
= $false )
| ( ( r1 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(219,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(220,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(221,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SV41 )
| ~ ( id @ SV31 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(222,plain,
! [SV37: $i] :
( ( ( id @ SV37 @ sK2_SX0 )
= $true )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(223,plain,
! [SV37: $i] :
( ( ( r1 @ SV37 )
= $true )
| ( ( ~ ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(224,plain,
! [SV8: $i] :
( ( ! [SY154: $i] :
~ ~ ( ~ ( r1 @ SY154 )
| ~ ( r4 @ SV8 @ SY154 @ ( sK6_SY89 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(225,plain,
! [SV8: $i] :
( ( ! [SY155: $i] :
~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ SY155 )
| ~ ( r1 @ SY155 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(226,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
| ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $false )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(227,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(228,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(229,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(230,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(231,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
| ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $false )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(232,plain,
! [SV13: $i] :
( ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(233,plain,
! [SV13: $i] :
( ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true )
| ( ( ~ ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(234,plain,
! [SV14: $i] :
( ( ! [SY156: $i] :
~ ~ ( ~ ( r1 @ SY156 )
| ~ ( r3 @ SV14 @ SY156 @ ( sK7_SY111 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(235,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SV42 )
| ~ ( id @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(236,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 ) )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(237,plain,
! [SV16: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 ) )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(238,plain,
! [SV39: $i,SV29: $i,SV33: $i,SV17: $i] :
( ( ( id @ SV17 @ SV33 )
= $false )
| ( ( ~ ( id @ SV29 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(239,plain,
! [SV20: $i,SV34: $i,SV43: $i,SV4: $i] :
( ( ( r2 @ SV4 @ SV43 )
= $false )
| ( ( id @ SV43 @ SV34 )
= $false )
| ( ( ~ ( r2 @ SV20 @ SV34 ) )
= $true )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(240,plain,
! [SV6: $i,SV40: $i] :
( ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(241,plain,
! [SV40: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV40 )
= $true )
| ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(242,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( id @ SV7 @ SV36 )
| ~ ( id @ SV22 @ SV41 ) )
= $true )
| ( ( ~ ( id @ SV31 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(243,plain,
! [SV37: $i] :
( ( ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) )
= $false )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(244,plain,
! [SV37: $i] :
( ( ( ~ ~ ( r1 @ SV37 )
| ~ ~ ( id @ SV37 @ sK2_SX0 ) )
= $false )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(245,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK14_SY154 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK14_SY154 @ SV8 ) @ ( sK6_SY89 @ SV8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(246,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ ( sK15_SY155 @ SV8 ) )
| ~ ( r1 @ ( sK15_SY155 @ SV8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(247,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(248,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $false )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(249,plain,
! [SV24: $i,SV10: $i] :
( ( ! [SY165: $i] :
~ ~ ( ~ ( id @ SY165 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY135: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY135 )
| ~ ( r3 @ SV10 @ SY135 @ SY165 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(250,plain,
! [SV24: $i,SV10: $i] :
( ( ! [SY167: $i] :
~ ~ ( ~ ( r2 @ SY167 @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ SY167 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(251,plain,
! [SV25: $i,SV11: $i] :
( ( ! [SY168: $i] :
~ ~ ( ~ ( id @ SY168 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY139: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY139 )
| ~ ( r4 @ SV11 @ SY139 @ SY168 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(252,plain,
! [SV25: $i,SV11: $i] :
( ( ! [SY170: $i] :
~ ~ ( ~ ( r3 @ SY170 @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ SY170 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(253,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(254,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $false )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(255,plain,
! [SV13: $i] :
( ( ( ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(256,plain,
! [SV13: $i] :
( ( ( ! [SY109: $i] :
~ ~ ! [SY110: $i] :
~ ~ ( ~ ( id @ SV13 @ SY110 )
| ~ ( r2 @ SY109 @ SY110 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(257,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK16_SY156 @ SV14 ) )
| ~ ( r3 @ SV14 @ ( sK16_SY156 @ SV14 ) @ ( sK7_SY111 @ SV14 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[234]) ).
thf(258,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( id @ SV15 @ SV38 )
| ~ ( id @ SV27 @ SV42 ) )
= $true )
| ( ( ~ ( id @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(259,plain,
! [SV28: $i,SV16: $i] :
( ( ( r1 @ SV16 )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(260,plain,
! [SV16: $i,SV28: $i] :
( ( ( r1 @ SV28 )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(261,plain,
! [SV33: $i,SV17: $i,SV39: $i,SV29: $i] :
( ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( ~ ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(262,plain,
! [SV4: $i,SV43: $i,SV34: $i,SV20: $i] :
( ( ( r2 @ SV20 @ SV34 )
= $false )
| ( ( id @ SV43 @ SV34 )
= $false )
| ( ( r2 @ SV4 @ SV43 )
= $false )
| ( ( id @ SV4 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(263,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $false )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(264,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV40 )
| ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $false )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(265,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ( ~ ( id @ SV7 @ SV36 ) )
= $true )
| ( ( ~ ( id @ SV22 @ SV41 ) )
= $true )
| ( ( ~ ( id @ SV31 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(266,plain,
! [SV37: $i] :
( ( ( ~ ~ ( r1 @ SV37 ) )
= $false )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(267,plain,
! [SV37: $i] :
( ( ( ~ ~ ( id @ SV37 @ sK2_SX0 ) )
= $false )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(268,plain,
! [SV37: $i] :
( ( ( ~ ~ ( r1 @ SV37 ) )
= $false )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(269,plain,
! [SV37: $i] :
( ( ( ~ ~ ( id @ SV37 @ sK2_SX0 ) )
= $false )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(270,plain,
! [SV8: $i] :
( ( ~ ( ~ ( r1 @ ( sK14_SY154 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK14_SY154 @ SV8 ) @ ( sK6_SY89 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(271,plain,
! [SV8: $i] :
( ( ~ ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ ( sK15_SY155 @ SV8 ) )
| ~ ( r1 @ ( sK15_SY155 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(272,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(273,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(274,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ~ ( ~ ( id @ ( sK17_SY165 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[249]) ).
thf(275,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ~ ( ~ ( r2 @ ( sK18_SY167 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ ( sK18_SY167 @ SV24 @ SV10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(276,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ~ ( ~ ( id @ ( sK19_SY168 @ SV25 @ SV11 ) @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[251]) ).
thf(277,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ~ ( ~ ( r3 @ ( sK20_SY170 @ SV25 @ SV11 ) @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ ( sK20_SY170 @ SV25 @ SV11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[252]) ).
thf(278,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(279,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(280,plain,
! [SV13: $i] :
( ( ( ~ ~ ! [SY178: $i] :
~ ~ ( ~ ( id @ SV13 @ SY178 )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ SY178 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[255]) ).
thf(281,plain,
! [SV13: $i] :
( ( ( ~ ~ ! [SY179: $i] :
~ ~ ( ~ ( id @ SV13 @ SY179 )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ SY179 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[256]) ).
thf(282,plain,
! [SV14: $i] :
( ( ~ ( ~ ( r1 @ ( sK16_SY156 @ SV14 ) )
| ~ ( r3 @ SV14 @ ( sK16_SY156 @ SV14 ) @ ( sK7_SY111 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(283,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( id @ SV15 @ SV38 ) )
= $true )
| ( ( ~ ( id @ SV27 @ SV42 ) )
= $true )
| ( ( ~ ( id @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(284,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(285,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 )
| ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(286,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( ~ ~ ( r2 @ SV17 @ SV29 )
| ~ ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(287,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV40 ) )
= $false )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(288,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $false )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(289,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV40 ) )
= $false )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(290,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $false )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(291,plain,
! [SV44: $i,SV31: $i,SV41: $i,SV22: $i,SV36: $i,SV7: $i] :
( ( ( id @ SV7 @ SV36 )
= $false )
| ( ( ~ ( id @ SV22 @ SV41 ) )
= $true )
| ( ( ~ ( id @ SV31 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(292,plain,
! [SV37: $i] :
( ( ( ~ ( r1 @ SV37 ) )
= $true )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(293,plain,
! [SV37: $i] :
( ( ( ~ ( id @ SV37 @ sK2_SX0 ) )
= $true )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(294,plain,
! [SV37: $i] :
( ( ( ~ ( r1 @ SV37 ) )
= $true )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(295,plain,
! [SV37: $i] :
( ( ( ~ ( id @ SV37 @ sK2_SX0 ) )
= $true )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(296,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK14_SY154 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK14_SY154 @ SV8 ) @ ( sK6_SY89 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(297,plain,
! [SV8: $i] :
( ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ ( sK15_SY155 @ SV8 ) )
| ~ ( r1 @ ( sK15_SY155 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(298,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $false )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(299,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 )
| ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $false )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(300,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( ~ ( id @ ( sK17_SY165 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(301,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( ~ ( r2 @ ( sK18_SY167 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ ( sK18_SY167 @ SV24 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(302,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( ~ ( id @ ( sK19_SY168 @ SV25 @ SV11 ) @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(303,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( ~ ( r3 @ ( sK20_SY170 @ SV25 @ SV11 ) @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ ( sK20_SY170 @ SV25 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(304,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $false )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(305,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 )
| ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $false )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(306,plain,
! [SV13: $i] :
( ( ( ~ ! [SY178: $i] :
~ ~ ( ~ ( id @ SV13 @ SY178 )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ SY178 ) ) )
= $true )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(307,plain,
! [SV13: $i] :
( ( ( ~ ! [SY179: $i] :
~ ~ ( ~ ( id @ SV13 @ SY179 )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ SY179 ) ) )
= $true )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(308,plain,
! [SV14: $i] :
( ( ~ ( r1 @ ( sK16_SY156 @ SV14 ) )
| ~ ( r3 @ SV14 @ ( sK16_SY156 @ SV14 ) @ ( sK7_SY111 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(309,plain,
! [SV47: $i,SV32: $i,SV42: $i,SV27: $i,SV38: $i,SV15: $i] :
( ( ( id @ SV15 @ SV38 )
= $false )
| ( ( ~ ( id @ SV27 @ SV42 ) )
= $true )
| ( ( ~ ( id @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(310,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(311,plain,
! [SV16: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(312,plain,
! [SV28: $i,SV16: $i] :
( ( ( ~ ( r1 @ SV16 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(313,plain,
! [SV16: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 ) )
= $false )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(314,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( ~ ~ ( r2 @ SV17 @ SV29 ) )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(315,plain,
! [SV29: $i,SV17: $i,SV39: $i,SV33: $i] :
( ( ( ~ ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(316,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV40 ) )
= $true )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(317,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $true )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(318,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV40 ) )
= $true )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(319,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( id @ SV40 @ ( sK5_SY82 @ SV6 ) ) )
= $true )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(320,plain,
! [SV44: $i,SV31: $i,SV36: $i,SV7: $i,SV41: $i,SV22: $i] :
( ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( ~ ( id @ SV31 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(321,plain,
! [SV37: $i] :
( ( ( r1 @ SV37 )
= $false )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(322,plain,
! [SV37: $i] :
( ( ( id @ SV37 @ sK2_SX0 )
= $false )
| ( ( id @ SV37 @ sK2_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(323,plain,
! [SV37: $i] :
( ( ( r1 @ SV37 )
= $false )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(324,plain,
! [SV37: $i] :
( ( ( id @ SV37 @ sK2_SX0 )
= $false )
| ( ( r1 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(325,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK14_SY154 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(326,plain,
! [SV8: $i] :
( ( ~ ( r4 @ SV8 @ ( sK14_SY154 @ SV8 ) @ ( sK6_SY89 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(327,plain,
! [SV8: $i] :
( ( ~ ( id @ ( sK6_SY89 @ SV8 ) @ ( sK15_SY155 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(328,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK15_SY155 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(329,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $false )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(330,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $false )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(331,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $false )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(332,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $false )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(333,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( id @ ( sK17_SY165 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ~ ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(334,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( r2 @ ( sK18_SY167 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ SV24 @ ( sK18_SY167 @ SV24 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(335,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( id @ ( sK19_SY168 @ SV25 @ SV11 ) @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ~ ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(336,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( r3 @ ( sK20_SY170 @ SV25 @ SV11 ) @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ SV25 @ ( sK20_SY170 @ SV25 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(337,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $false )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(338,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $false )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(339,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $false )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(340,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $false )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(341,plain,
! [SV13: $i] :
( ( ( ! [SY178: $i] :
~ ~ ( ~ ( id @ SV13 @ SY178 )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ SY178 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(342,plain,
! [SV13: $i] :
( ( ( ! [SY179: $i] :
~ ~ ( ~ ( id @ SV13 @ SY179 )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ SY179 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(343,plain,
! [SV14: $i] :
( ( ~ ( r1 @ ( sK16_SY156 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(344,plain,
! [SV14: $i] :
( ( ~ ( r3 @ SV14 @ ( sK16_SY156 @ SV14 ) @ ( sK7_SY111 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(345,plain,
! [SV47: $i,SV32: $i,SV38: $i,SV15: $i,SV42: $i,SV27: $i] :
( ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( ~ ( id @ SV32 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(346,plain,
! [SV28: $i,SV16: $i] :
( ( ( r1 @ SV16 )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(347,plain,
! [SV16: $i,SV28: $i] :
( ( ( r1 @ SV28 )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(348,plain,
! [SV28: $i,SV16: $i] :
( ( ( r1 @ SV16 )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(349,plain,
! [SV16: $i,SV28: $i] :
( ( ( r1 @ SV28 )
= $true )
| ( ( id @ SV16 @ SV28 )
= $false )
| ( ( r1 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(350,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV29 ) )
= $true )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(351,plain,
! [SV29: $i,SV17: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV39 ) )
= $true )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(352,plain,
! [SV40: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV40 )
= $false )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(353,plain,
! [SV6: $i,SV40: $i] :
( ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $false )
| ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(354,plain,
! [SV40: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV40 )
= $false )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(355,plain,
! [SV6: $i,SV40: $i] :
( ( ( id @ SV40 @ ( sK5_SY82 @ SV6 ) )
= $false )
| ( ( r2 @ SV6 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(356,plain,
! [SV41: $i,SV22: $i,SV36: $i,SV7: $i,SV44: $i,SV31: $i] :
( ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( ~ ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(357,plain,
! [SV8: $i] :
( ( r1 @ ( sK14_SY154 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(358,plain,
! [SV8: $i] :
( ( r4 @ SV8 @ ( sK14_SY154 @ SV8 ) @ ( sK6_SY89 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(359,plain,
! [SV8: $i] :
( ( id @ ( sK6_SY89 @ SV8 ) @ ( sK15_SY155 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(360,plain,
! [SV8: $i] :
( ( r1 @ ( sK15_SY155 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(361,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $true )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(362,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $true )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(363,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV23 @ SV45 ) )
= $true )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(364,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( ~ ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) ) )
= $true )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(365,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( id @ ( sK17_SY165 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(366,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ~ ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(367,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( r2 @ ( sK18_SY167 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(368,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ SV24 @ ( sK18_SY167 @ SV24 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(369,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( id @ ( sK19_SY168 @ SV25 @ SV11 ) @ ( sK10_SY137 @ SV11 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(370,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ~ ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(371,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( r3 @ ( sK20_SY170 @ SV25 @ SV11 ) @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(372,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( r4 @ SV11 @ SV25 @ ( sK20_SY170 @ SV25 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(373,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $true )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(374,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $true )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(375,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV26 @ SV46 ) )
= $true )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(376,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( ~ ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) ) )
= $true )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(377,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( id @ SV13 @ ( sK23_SY178 @ SV13 ) )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ ( sK23_SY178 @ SV13 ) ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[341]) ).
thf(378,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( id @ SV13 @ ( sK24_SY179 @ SV13 ) )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ ( sK24_SY179 @ SV13 ) ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(379,plain,
! [SV14: $i] :
( ( r1 @ ( sK16_SY156 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(380,plain,
! [SV14: $i] :
( ( r3 @ SV14 @ ( sK16_SY156 @ SV14 ) @ ( sK7_SY111 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(381,plain,
! [SV42: $i,SV27: $i,SV38: $i,SV15: $i,SV47: $i,SV32: $i] :
( ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( ~ ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(382,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( r2 @ SV17 @ SV29 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(383,plain,
! [SV29: $i,SV17: $i,SV39: $i,SV33: $i] :
( ( ( r2 @ SV33 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(384,plain,
! [SV44: $i,SV41: $i,SV36: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(385,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV23 @ SV45 )
= $false )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(386,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $false )
| ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(387,plain,
! [SV45: $i,SV23: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV23 @ SV45 )
= $false )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(388,plain,
! [SV9: $i,SV23: $i,SV45: $i] :
( ( ( id @ SV45 @ ( sK8_SY131 @ SV23 @ SV9 ) )
= $false )
| ( ( r3 @ SV9 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(389,plain,
! [SV10: $i,SV24: $i] :
( ( id @ ( sK17_SY165 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(390,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(391,plain,
! [SV10: $i,SV24: $i] :
( ( r2 @ ( sK18_SY167 @ SV24 @ SV10 ) @ ( sK9_SY133 @ SV10 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(392,plain,
! [SV24: $i,SV10: $i] :
( ( r3 @ SV10 @ SV24 @ ( sK18_SY167 @ SV24 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(393,plain,
! [SV11: $i,SV25: $i] :
( ( id @ ( sK19_SY168 @ SV25 @ SV11 ) @ ( sK10_SY137 @ SV11 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(394,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(395,plain,
! [SV11: $i,SV25: $i] :
( ( r3 @ ( sK20_SY170 @ SV25 @ SV11 ) @ SV11 @ ( sK10_SY137 @ SV11 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(396,plain,
! [SV25: $i,SV11: $i] :
( ( r4 @ SV11 @ SV25 @ ( sK20_SY170 @ SV25 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(397,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( r4 @ SV12 @ SV26 @ SV46 )
= $false )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(398,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $false )
| ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(399,plain,
! [SV46: $i,SV26: $i,SV12: $i] :
( ( ( r4 @ SV12 @ SV26 @ SV46 )
= $false )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(400,plain,
! [SV12: $i,SV26: $i,SV46: $i] :
( ( ( id @ SV46 @ ( sK11_SY141 @ SV26 @ SV12 ) )
= $false )
| ( ( r4 @ SV12 @ SV26 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(401,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( id @ SV13 @ ( sK23_SY178 @ SV13 ) )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ ( sK23_SY178 @ SV13 ) ) ) )
= $true )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(402,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( id @ SV13 @ ( sK24_SY179 @ SV13 ) )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ ( sK24_SY179 @ SV13 ) ) ) )
= $true )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(403,plain,
! [SV47: $i,SV42: $i,SV38: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(404,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV17 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(405,plain,
! [SV39: $i,SV33: $i,SV29: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV29 )
| ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV33 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(406,plain,
! [SV44: $i,SV36: $i,SV41: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ~ ( r3 @ SV7 @ SV22 @ SV31 ) )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(407,plain,
! [SV31: $i,SV7: $i,SV22: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( ~ ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(408,plain,
! [SV10: $i,SV24: $i] :
( ( ! [SY176: $i] :
~ ~ ( ~ ( r2 @ SV24 @ SY176 )
| ~ ( r3 @ SV10 @ SY176 @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(409,plain,
! [SV11: $i,SV25: $i] :
( ( ! [SY177: $i] :
~ ~ ( ~ ( r2 @ SV25 @ SY177 )
| ~ ( r4 @ SV11 @ SY177 @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(410,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK23_SY178 @ SV13 ) )
| ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ ( sK23_SY178 @ SV13 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(411,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK24_SY179 @ SV13 ) )
| ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ ( sK24_SY179 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(412,plain,
! [SV47: $i,SV38: $i,SV42: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ~ ( r4 @ SV15 @ SV27 @ SV32 ) )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(413,plain,
! [SV32: $i,SV15: $i,SV27: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( ~ ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(414,plain,
! [SV33: $i,SV39: $i,SV29: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV29 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV17 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(415,plain,
! [SV17: $i,SV29: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV17 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(416,plain,
! [SV33: $i,SV39: $i,SV29: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV29 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV33 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(417,plain,
! [SV17: $i,SV29: $i,SV39: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV39 ) )
= $false )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV33 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(418,plain,
! [SV44: $i,SV36: $i,SV41: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV22 @ SV31 ) )
= $true )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(419,plain,
! [SV31: $i,SV7: $i,SV22: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $true )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(420,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ~ ( ~ ( r2 @ SV24 @ ( sK25_SY176 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ ( sK25_SY176 @ SV10 @ SV24 ) @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(421,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ~ ( ~ ( r2 @ SV25 @ ( sK26_SY177 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ ( sK26_SY177 @ SV11 @ SV25 ) @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[409]) ).
thf(422,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK23_SY178 @ SV13 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(423,plain,
! [SV13: $i] :
( ( ( ~ ( r2 @ ( sK21_SY109 @ SV13 ) @ ( sK23_SY178 @ SV13 ) ) )
= $false )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(424,plain,
! [SV13: $i] :
( ( ( ~ ( id @ SV13 @ ( sK24_SY179 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(425,plain,
! [SV13: $i] :
( ( ( ~ ( r2 @ ( sK22_SY109 @ SV13 ) @ ( sK24_SY179 @ SV13 ) ) )
= $false )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(426,plain,
! [SV47: $i,SV38: $i,SV42: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( r4 @ SV15 @ SV27 @ SV32 ) )
= $true )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(427,plain,
! [SV32: $i,SV15: $i,SV27: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $true )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(428,plain,
! [SV33: $i,SV39: $i,SV29: $i,SV17: $i] :
( ( ( r2 @ SV17 @ SV29 )
= $true )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV17 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(429,plain,
! [SV17: $i,SV29: $i,SV39: $i,SV33: $i] :
( ( ( r2 @ SV33 @ SV39 )
= $true )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV17 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(430,plain,
! [SV33: $i,SV39: $i,SV29: $i,SV17: $i] :
( ( ( r2 @ SV17 @ SV29 )
= $true )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV33 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(431,plain,
! [SV17: $i,SV29: $i,SV39: $i,SV33: $i] :
( ( ( r2 @ SV33 @ SV39 )
= $true )
| ( ( id @ SV29 @ SV39 )
= $false )
| ( ( id @ SV17 @ SV33 )
= $false )
| ( ( r2 @ SV33 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(432,plain,
! [SV44: $i,SV36: $i,SV41: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(433,plain,
! [SV31: $i,SV7: $i,SV22: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(434,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( ~ ( r2 @ SV24 @ ( sK25_SY176 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ ( sK25_SY176 @ SV10 @ SV24 ) @ ( sK17_SY165 @ SV24 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(435,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( ~ ( r2 @ SV25 @ ( sK26_SY177 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ ( sK26_SY177 @ SV11 @ SV25 ) @ ( sK19_SY168 @ SV25 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(436,plain,
! [SV13: $i] :
( ( ( id @ SV13 @ ( sK23_SY178 @ SV13 ) )
= $true )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(437,plain,
! [SV13: $i] :
( ( ( r2 @ ( sK21_SY109 @ SV13 ) @ ( sK23_SY178 @ SV13 ) )
= $true )
| ( ( id @ SV13 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(438,plain,
! [SV13: $i] :
( ( ( id @ SV13 @ ( sK24_SY179 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(439,plain,
! [SV13: $i] :
( ( ( r2 @ ( sK22_SY109 @ SV13 ) @ ( sK24_SY179 @ SV13 ) )
= $true )
| ( ( r1 @ ( sK12_SY108 @ SV13 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(440,plain,
! [SV47: $i,SV38: $i,SV42: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(441,plain,
! [SV32: $i,SV15: $i,SV27: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(442,plain,
! [SV44: $i,SV41: $i,SV36: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(443,plain,
! [SV44: $i,SV41: $i,SV36: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV22 @ SV31 )
| ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(444,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( r2 @ SV24 @ ( sK25_SY176 @ SV10 @ SV24 ) )
| ~ ( r3 @ SV10 @ ( sK25_SY176 @ SV10 @ SV24 ) @ ( sK17_SY165 @ SV24 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(445,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( r2 @ SV25 @ ( sK26_SY177 @ SV11 @ SV25 ) )
| ~ ( r4 @ SV11 @ ( sK26_SY177 @ SV11 @ SV25 ) @ ( sK19_SY168 @ SV25 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(446,plain,
! [SV47: $i,SV42: $i,SV38: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(447,plain,
! [SV47: $i,SV42: $i,SV38: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( r4 @ SV15 @ SV27 @ SV32 )
| ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(448,plain,
! [SV41: $i,SV36: $i,SV44: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV22 @ SV31 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(449,plain,
! [SV22: $i,SV7: $i,SV31: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(450,plain,
! [SV41: $i,SV36: $i,SV44: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV22 @ SV31 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(451,plain,
! [SV22: $i,SV7: $i,SV31: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( r3 @ SV36 @ SV41 @ SV44 ) )
= $false )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(452,plain,
! [SV10: $i,SV24: $i] :
( ( ~ ( r2 @ SV24 @ ( sK25_SY176 @ SV10 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(453,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ ( sK25_SY176 @ SV10 @ SV24 ) @ ( sK17_SY165 @ SV24 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(454,plain,
! [SV11: $i,SV25: $i] :
( ( ~ ( r2 @ SV25 @ ( sK26_SY177 @ SV11 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(455,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( r4 @ SV11 @ ( sK26_SY177 @ SV11 @ SV25 ) @ ( sK19_SY168 @ SV25 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(456,plain,
! [SV42: $i,SV38: $i,SV47: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( r4 @ SV15 @ SV27 @ SV32 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(457,plain,
! [SV27: $i,SV15: $i,SV32: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(458,plain,
! [SV42: $i,SV38: $i,SV47: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( ~ ( r4 @ SV15 @ SV27 @ SV32 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(459,plain,
! [SV27: $i,SV15: $i,SV32: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( ~ ( r4 @ SV38 @ SV42 @ SV47 ) )
= $false )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(460,plain,
! [SV41: $i,SV36: $i,SV44: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( r3 @ SV7 @ SV22 @ SV31 )
= $true )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(461,plain,
! [SV22: $i,SV7: $i,SV31: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( r3 @ SV36 @ SV41 @ SV44 )
= $true )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV7 @ SV22 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(462,plain,
! [SV41: $i,SV36: $i,SV44: $i,SV31: $i,SV22: $i,SV7: $i] :
( ( ( r3 @ SV7 @ SV22 @ SV31 )
= $true )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(463,plain,
! [SV22: $i,SV7: $i,SV31: $i,SV44: $i,SV41: $i,SV36: $i] :
( ( ( r3 @ SV36 @ SV41 @ SV44 )
= $true )
| ( ( id @ SV31 @ SV44 )
= $false )
| ( ( id @ SV7 @ SV36 )
= $false )
| ( ( id @ SV22 @ SV41 )
= $false )
| ( ( r3 @ SV36 @ SV41 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(464,plain,
! [SV10: $i,SV24: $i] :
( ( r2 @ SV24 @ ( sK25_SY176 @ SV10 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(465,plain,
! [SV24: $i,SV10: $i] :
( ( r3 @ SV10 @ ( sK25_SY176 @ SV10 @ SV24 ) @ ( sK17_SY165 @ SV24 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(466,plain,
! [SV11: $i,SV25: $i] :
( ( r2 @ SV25 @ ( sK26_SY177 @ SV11 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(467,plain,
! [SV25: $i,SV11: $i] :
( ( r4 @ SV11 @ ( sK26_SY177 @ SV11 @ SV25 ) @ ( sK19_SY168 @ SV25 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(468,plain,
! [SV42: $i,SV38: $i,SV47: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( r4 @ SV15 @ SV27 @ SV32 )
= $true )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(469,plain,
! [SV27: $i,SV15: $i,SV32: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( r4 @ SV38 @ SV42 @ SV47 )
= $true )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV15 @ SV27 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(470,plain,
! [SV42: $i,SV38: $i,SV47: $i,SV32: $i,SV27: $i,SV15: $i] :
( ( ( r4 @ SV15 @ SV27 @ SV32 )
= $true )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(471,plain,
! [SV27: $i,SV15: $i,SV32: $i,SV47: $i,SV42: $i,SV38: $i] :
( ( ( r4 @ SV38 @ SV42 @ SV47 )
= $true )
| ( ( id @ SV32 @ SV47 )
= $false )
| ( ( id @ SV15 @ SV38 )
= $false )
| ( ( id @ SV27 @ SV42 )
= $false )
| ( ( r4 @ SV38 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(472,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[74,471,470,469,468,467,466,465,464,463,462,461,460,439,438,437,436,431,430,429,428,400,399,398,397,396,395,393,392,391,389,388,387,386,385,380,379,360,359,358,357,355,354,353,352,349,348,347,346,324,323,322,321,262,218,211,196,195,192,158,157,156,131]) ).
thf(473,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN089+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.15 % Computer : n019.cluster.edu
% 0.00/0.15 % Model : x86_64 x86_64
% 0.00/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.15 % Memory : 8046.5625MB
% 0.00/0.15 % OS : Linux 6.8.0-71-generic
% 0.00/0.15 % CPULimit : 300
% 0.00/0.15 % WCLimit : 300
% 0.00/0.15 % DateTime : Tue Oct 6 13:48:27 UTC 2026
% 0.00/0.15 % CPUTime :
% 0.00/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/0.39
% 0.98/0.39 No.of.Axioms: 18
% 0.98/0.39
% 0.98/0.39 Length.of.Defs: 0
% 0.98/0.39
% 0.98/0.39 Contains.Choice.Funs: false
% 0.98/0.39 .............
% 0.98/0.39
% 0.98/0.39 ********************************
% 0.98/0.39 * All subproblems solved! *
% 0.98/0.39 ********************************
% 0.98/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:472,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.98/0.39
% 0.98/0.39 %**** Beginning of derivation protocol ****
% 0.98/0.39 % SZS output start CNFRefutation
% See solution above
% 0.98/0.39
% 0.98/0.39 %**** End of derivation protocol ****
% 0.98/0.39 %**** no. of clauses in derivation: 473 ****
% 0.98/0.39 %**** clause counter: 472 ****
% 0.98/0.39
% 0.98/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:472,loop_count:0,foatp_calls:1,translation:fof_full)
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