TSTP Solution File: NUN066+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 16:33:52 EDT 2022
% Result : Theorem 0.69s 0.88s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of formulae : 346 ( 208 unt; 28 typ; 0 def)
% Number of atoms : 1828 ( 818 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 3838 ( 938 ~; 564 |; 112 &;2224 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 3 con; 0-3 aty)
% Number of variables : 748 ( 0 ^ 704 !; 44 ?; 748 :)
% Comments :
%------------------------------------------------------------------------------
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_SY52,type,
sK10_SY52: $i > $i ).
thf(tp_sK11_Y9,type,
sK11_Y9: $i > $i ).
thf(tp_sK12_SY54,type,
sK12_SY54: $i > $i ).
thf(tp_sK13_Y2,type,
sK13_Y2: $i > $i > $i ).
thf(tp_sK14_SY57,type,
sK14_SY57: $i > $i > $i ).
thf(tp_sK15_SY55,type,
sK15_SY55: $i > $i > $i ).
thf(tp_sK16_SY58,type,
sK16_SY58: $i > $i > $i ).
thf(tp_sK17_Y4,type,
sK17_Y4: $i > $i > $i ).
thf(tp_sK18_SY61,type,
sK18_SY61: $i > $i > $i ).
thf(tp_sK19_SY59,type,
sK19_SY59: $i > $i > $i ).
thf(tp_sK1_Y5,type,
sK1_Y5: $i > $i ).
thf(tp_sK20_SY62,type,
sK20_SY62: $i > $i > $i ).
thf(tp_sK21_Y23,type,
sK21_Y23: $i > $i > $i ).
thf(tp_sK22_Y22,type,
sK22_Y22: $i > $i > $i ).
thf(tp_sK23_Y21,type,
sK23_Y21: $i > $i ).
thf(tp_sK24_Y24,type,
sK24_Y24: $i ).
thf(tp_sK2_Y2,type,
sK2_Y2: $i > $i ).
thf(tp_sK3_SY48,type,
sK3_SY48: $i > $i ).
thf(tp_sK4_SY50,type,
sK4_SY50: $i > $i ).
thf(tp_sK5_Y1,type,
sK5_Y1: $i > $i ).
thf(tp_sK6_SY51,type,
sK6_SY51: $i > $i ).
thf(tp_sK7_Y19,type,
sK7_Y19: $i > $i ).
thf(tp_sK8_Y8,type,
sK8_Y8: $i > $i ).
thf(tp_sK9_SY53,type,
sK9_SY53: $i > $i ).
thf(1,axiom,
! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
thf(2,axiom,
! [X6: $i] :
( ? [Y19: $i] :
( ( r1 @ Y19 )
& ( X6 = Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( r2 @ Y1 @ Y11 )
& ( X6 = Y11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6a) ).
thf(3,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( r1 @ Y18 )
& ( Y8 = Y18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
thf(4,axiom,
! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) )
& ( Y9 = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
thf(5,axiom,
! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( r2 @ X3 @ Y13 )
| ( Y13 != Y12 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( X3 = X10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
thf(6,axiom,
! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y3: $i] :
( ? [Y14: $i] :
( ( r2 @ X9 @ Y14 )
& ( r4 @ X2 @ Y14 @ Y3 ) )
& ( Y3 = Y2 ) )
& ? [Y6: $i] :
( ( r3 @ Y6 @ X2 @ Y2 )
& ( r4 @ X2 @ X9 @ Y6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
thf(7,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y15: $i] :
( ( r2 @ X8 @ Y15 )
& ( r3 @ X1 @ Y15 @ Y5 ) )
& ( Y5 = Y4 ) )
& ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r3 @ X1 @ X8 @ Y7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
thf(8,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ~ ( r4 @ X16 @ X17 @ X18 )
& ( X18 != Y23 ) )
| ( ( r4 @ X16 @ X17 @ X18 )
& ( X18 = Y23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(9,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ~ ( r3 @ X13 @ X14 @ X15 )
& ( X15 != Y22 ) )
| ( ( r3 @ X13 @ X14 @ X15 )
& ( X15 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(10,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(11,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(12,conjecture,
? [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ! [Y4: $i] :
( ~ ( r1 @ Y4 )
| ~ ( r2 @ Y4 @ Y3 ) )
| ~ ( r2 @ Y3 @ Y2 ) )
| ( Y1 != Y2 ) )
& ! [Y5: $i] :
( ~ ( r1 @ Y5 )
| ( Y1 != Y5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerononetwoexist) ).
thf(13,negated_conjecture,
( ( ? [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ! [Y4: $i] :
( ~ ( r1 @ Y4 )
| ~ ( r2 @ Y4 @ Y3 ) )
| ~ ( r2 @ Y3 @ Y2 ) )
| ( Y1 != Y2 ) )
& ! [Y5: $i] :
( ~ ( r1 @ Y5 )
| ( Y1 != Y5 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ? [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ! [Y4: $i] :
( ~ ( r1 @ Y4 )
| ~ ( r2 @ Y4 @ Y3 ) )
| ~ ( r2 @ Y3 @ Y2 ) )
| ( Y1 != Y2 ) )
& ! [Y5: $i] :
( ~ ( r1 @ Y5 )
| ( Y1 != Y5 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ! [X6: $i] :
( ? [Y19: $i] :
( ( r1 @ Y19 )
& ( X6 = Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( r2 @ Y1 @ Y11 )
& ( X6 = Y11 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( r1 @ Y18 )
& ( Y8 = Y18 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) )
& ( Y9 = X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( r2 @ X3 @ Y13 )
| ( Y13 != Y12 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( X3 = X10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y3: $i] :
( ? [Y14: $i] :
( ( r2 @ X9 @ Y14 )
& ( r4 @ X2 @ Y14 @ Y3 ) )
& ( Y3 = Y2 ) )
& ? [Y6: $i] :
( ( r3 @ Y6 @ X2 @ Y2 )
& ( r4 @ X2 @ X9 @ Y6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y5: $i] :
( ? [Y15: $i] :
( ( r2 @ X8 @ Y15 )
& ( r3 @ X1 @ Y15 @ Y5 ) )
& ( Y5 = Y4 ) )
& ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r3 @ X1 @ X8 @ Y7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ~ ( r4 @ X16 @ X17 @ X18 )
& ( X18 != Y23 ) )
| ( ( r4 @ X16 @ X17 @ X18 )
& ( X18 = Y23 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ~ ( r3 @ X13 @ X14 @ X15 )
& ( X15 != Y22 ) )
| ( ( r3 @ X13 @ X14 @ X15 )
& ( X15 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ~ ? [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ! [Y4: $i] :
( ~ ( r1 @ Y4 )
| ~ ( r2 @ Y4 @ Y3 ) )
| ~ ( r2 @ Y3 @ Y2 ) )
| ( Y1 != Y2 ) )
& ! [Y5: $i] :
( ~ ( r1 @ Y5 )
| ( Y1 != Y5 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [Y1: $i] :
( ( ( r1 @ ( sK4_SY50 @ Y1 ) )
& ( r2 @ ( sK4_SY50 @ Y1 ) @ ( sK3_SY48 @ Y1 ) )
& ( r2 @ ( sK3_SY48 @ Y1 ) @ ( sK2_Y2 @ Y1 ) )
& ( Y1
= ( sK2_Y2 @ Y1 ) ) )
| ( ( r1 @ ( sK1_Y5 @ Y1 ) )
& ( Y1
= ( sK1_Y5 @ Y1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(28,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(29,plain,
( ( ! [X6: $i] :
( ( ( X6
= ( sK7_Y19 @ X6 ) )
& ( r1 @ ( sK7_Y19 @ X6 ) ) )
| ( ( X6
= ( sK6_SY51 @ X6 ) )
& ( r2 @ ( sK5_Y1 @ X6 ) @ ( sK6_SY51 @ X6 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(30,plain,
( ( ! [X5: $i] :
( ( r1 @ ( sK10_SY52 @ X5 ) )
& ( r4 @ X5 @ ( sK10_SY52 @ X5 ) @ ( sK8_Y8 @ X5 ) )
& ( ( sK8_Y8 @ X5 )
= ( sK9_SY53 @ X5 ) )
& ( r1 @ ( sK9_SY53 @ X5 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(31,plain,
( ( ! [X4: $i] :
( ( ( sK11_Y9 @ X4 )
= X4 )
& ( r1 @ ( sK12_SY54 @ X4 ) )
& ( r3 @ X4 @ ( sK12_SY54 @ X4 ) @ ( sK11_Y9 @ X4 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(32,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( r2 @ X3 @ Y13 )
| ( Y13 != Y12 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( X3 = X10 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(33,plain,
( ( ! [X2: $i,X9: $i] :
( ( ( sK15_SY55 @ X9 @ X2 )
= ( sK13_Y2 @ X9 @ X2 ) )
& ( r2 @ X9 @ ( sK16_SY58 @ X9 @ X2 ) )
& ( r4 @ X2 @ ( sK16_SY58 @ X9 @ X2 ) @ ( sK15_SY55 @ X9 @ X2 ) )
& ( r3 @ ( sK14_SY57 @ X9 @ X2 ) @ X2 @ ( sK13_Y2 @ X9 @ X2 ) )
& ( r4 @ X2 @ X9 @ ( sK14_SY57 @ X9 @ X2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(34,plain,
( ( ! [X1: $i,X8: $i] :
( ( ( sK19_SY59 @ X8 @ X1 )
= ( sK17_Y4 @ X8 @ X1 ) )
& ( r2 @ X8 @ ( sK20_SY62 @ X8 @ X1 ) )
& ( r3 @ X1 @ ( sK20_SY62 @ X8 @ X1 ) @ ( sK19_SY59 @ X8 @ X1 ) )
& ( r2 @ ( sK18_SY61 @ X8 @ X1 ) @ ( sK17_Y4 @ X8 @ X1 ) )
& ( r3 @ X1 @ X8 @ ( sK18_SY61 @ X8 @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(35,plain,
( ( ! [X16: $i,X17: $i] :
( ! [SY63: $i] :
( ~ ( r4 @ X16 @ X17 @ SY63 )
| ( SY63
= ( sK21_Y23 @ X17 @ X16 ) ) )
& ! [X18: $i] :
( ~ ( r4 @ X16 @ X17 @ X18 )
| ( r4 @ X16 @ X17 @ X18 ) )
& ! [SY65: $i] :
( ( SY65
!= ( sK21_Y23 @ X17 @ X16 ) )
| ( SY65
= ( sK21_Y23 @ X17 @ X16 ) ) )
& ! [SY66: $i] :
( ( SY66
!= ( sK21_Y23 @ X17 @ X16 ) )
| ( r4 @ X16 @ X17 @ SY66 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(36,plain,
( ( ! [X13: $i,X14: $i] :
( ! [SY67: $i] :
( ~ ( r3 @ X13 @ X14 @ SY67 )
| ( SY67
= ( sK22_Y22 @ X14 @ X13 ) ) )
& ! [X15: $i] :
( ~ ( r3 @ X13 @ X14 @ X15 )
| ( r3 @ X13 @ X14 @ X15 ) )
& ! [SY69: $i] :
( ( SY69
!= ( sK22_Y22 @ X14 @ X13 ) )
| ( SY69
= ( sK22_Y22 @ X14 @ X13 ) ) )
& ! [SY70: $i] :
( ( SY70
!= ( sK22_Y22 @ X14 @ X13 ) )
| ( r3 @ X13 @ X14 @ SY70 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(37,plain,
( ( ! [X11: $i] :
( ! [SY71: $i] :
( ~ ( r2 @ X11 @ SY71 )
| ( SY71
= ( sK23_Y21 @ X11 ) ) )
& ! [X12: $i] :
( ~ ( r2 @ X11 @ X12 )
| ( r2 @ X11 @ X12 ) )
& ! [SY73: $i] :
( ( SY73
!= ( sK23_Y21 @ X11 ) )
| ( SY73
= ( sK23_Y21 @ X11 ) ) )
& ! [SY74: $i] :
( ( SY74
!= ( sK23_Y21 @ X11 ) )
| ( r2 @ X11 @ SY74 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(38,plain,
( ( ! [SY75: $i] :
( ~ ( r1 @ SY75 )
| ( SY75 = sK24_Y24 ) )
& ! [X19: $i] :
( ~ ( r1 @ X19 )
| ( r1 @ X19 ) )
& ! [SY77: $i] :
( ( SY77 != sK24_Y24 )
| ( SY77 = sK24_Y24 ) )
& ! [SY78: $i] :
( ( SY78 != sK24_Y24 )
| ( r1 @ SY78 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(39,plain,
( ( ! [SY75: $i] :
( ~ ( r1 @ SY75 )
| ( SY75 = sK24_Y24 ) )
& ! [X19: $i] :
( ~ ( r1 @ X19 )
| ( r1 @ X19 ) )
& ! [SY77: $i] :
( ( SY77 != sK24_Y24 )
| ( SY77 = sK24_Y24 ) )
& ! [SY78: $i] :
( ( SY78 != sK24_Y24 )
| ( r1 @ SY78 ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(40,plain,
( ( ! [X11: $i] :
( ! [SY71: $i] :
( ~ ( r2 @ X11 @ SY71 )
| ( SY71
= ( sK23_Y21 @ X11 ) ) )
& ! [X12: $i] :
( ~ ( r2 @ X11 @ X12 )
| ( r2 @ X11 @ X12 ) )
& ! [SY73: $i] :
( ( SY73
!= ( sK23_Y21 @ X11 ) )
| ( SY73
= ( sK23_Y21 @ X11 ) ) )
& ! [SY74: $i] :
( ( SY74
!= ( sK23_Y21 @ X11 ) )
| ( r2 @ X11 @ SY74 ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(41,plain,
( ( ! [X13: $i,X14: $i] :
( ! [SY67: $i] :
( ~ ( r3 @ X13 @ X14 @ SY67 )
| ( SY67
= ( sK22_Y22 @ X14 @ X13 ) ) )
& ! [X15: $i] :
( ~ ( r3 @ X13 @ X14 @ X15 )
| ( r3 @ X13 @ X14 @ X15 ) )
& ! [SY69: $i] :
( ( SY69
!= ( sK22_Y22 @ X14 @ X13 ) )
| ( SY69
= ( sK22_Y22 @ X14 @ X13 ) ) )
& ! [SY70: $i] :
( ( SY70
!= ( sK22_Y22 @ X14 @ X13 ) )
| ( r3 @ X13 @ X14 @ SY70 ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [X16: $i,X17: $i] :
( ! [SY63: $i] :
( ~ ( r4 @ X16 @ X17 @ SY63 )
| ( SY63
= ( sK21_Y23 @ X17 @ X16 ) ) )
& ! [X18: $i] :
( ~ ( r4 @ X16 @ X17 @ X18 )
| ( r4 @ X16 @ X17 @ X18 ) )
& ! [SY65: $i] :
( ( SY65
!= ( sK21_Y23 @ X17 @ X16 ) )
| ( SY65
= ( sK21_Y23 @ X17 @ X16 ) ) )
& ! [SY66: $i] :
( ( SY66
!= ( sK21_Y23 @ X17 @ X16 ) )
| ( r4 @ X16 @ X17 @ SY66 ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(43,plain,
( ( ! [X1: $i,X8: $i] :
( ( ( sK19_SY59 @ X8 @ X1 )
= ( sK17_Y4 @ X8 @ X1 ) )
& ( r2 @ X8 @ ( sK20_SY62 @ X8 @ X1 ) )
& ( r3 @ X1 @ ( sK20_SY62 @ X8 @ X1 ) @ ( sK19_SY59 @ X8 @ X1 ) )
& ( r2 @ ( sK18_SY61 @ X8 @ X1 ) @ ( sK17_Y4 @ X8 @ X1 ) )
& ( r3 @ X1 @ X8 @ ( sK18_SY61 @ X8 @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(44,plain,
( ( ! [X2: $i,X9: $i] :
( ( ( sK15_SY55 @ X9 @ X2 )
= ( sK13_Y2 @ X9 @ X2 ) )
& ( r2 @ X9 @ ( sK16_SY58 @ X9 @ X2 ) )
& ( r4 @ X2 @ ( sK16_SY58 @ X9 @ X2 ) @ ( sK15_SY55 @ X9 @ X2 ) )
& ( r3 @ ( sK14_SY57 @ X9 @ X2 ) @ X2 @ ( sK13_Y2 @ X9 @ X2 ) )
& ( r4 @ X2 @ X9 @ ( sK14_SY57 @ X9 @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(45,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( r2 @ X3 @ Y13 )
| ( Y13 != Y12 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( X3 = X10 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(46,plain,
( ( ! [X4: $i] :
( ( ( sK11_Y9 @ X4 )
= X4 )
& ( r1 @ ( sK12_SY54 @ X4 ) )
& ( r3 @ X4 @ ( sK12_SY54 @ X4 ) @ ( sK11_Y9 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(47,plain,
( ( ! [X5: $i] :
( ( r1 @ ( sK10_SY52 @ X5 ) )
& ( r4 @ X5 @ ( sK10_SY52 @ X5 ) @ ( sK8_Y8 @ X5 ) )
& ( ( sK8_Y8 @ X5 )
= ( sK9_SY53 @ X5 ) )
& ( r1 @ ( sK9_SY53 @ X5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(48,plain,
( ( ! [X6: $i] :
( ( ( X6
= ( sK7_Y19 @ X6 ) )
& ( r1 @ ( sK7_Y19 @ X6 ) ) )
| ( ( X6
= ( sK6_SY51 @ X6 ) )
& ( r2 @ ( sK5_Y1 @ X6 ) @ ( sK6_SY51 @ X6 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(49,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(50,plain,
( ( ! [Y1: $i] :
( ( ( r1 @ ( sK4_SY50 @ Y1 ) )
& ( r2 @ ( sK4_SY50 @ Y1 ) @ ( sK3_SY48 @ Y1 ) )
& ( r2 @ ( sK3_SY48 @ Y1 ) @ ( sK2_Y2 @ Y1 ) )
& ( Y1
= ( sK2_Y2 @ Y1 ) ) )
| ( ( r1 @ ( sK1_Y5 @ Y1 ) )
& ( Y1
= ( sK1_Y5 @ Y1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ( ( sK19_SY59 @ SX1 @ SX0 )
!= ( sK17_Y4 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( r2 @ SX1 @ ( sK20_SY62 @ SX1 @ SX0 ) )
| ~ ( r3 @ SX0 @ ( sK20_SY62 @ SX1 @ SX0 ) @ ( sK19_SY59 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ( r2 @ ( sK18_SY61 @ SX1 @ SX0 ) @ ( sK17_Y4 @ SX1 @ SX0 ) )
| ~ ( r3 @ SX0 @ SX1 @ ( sK18_SY61 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(52,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(53,plain,
( ( ! [SX0: $i] :
~ ( ( ( sK11_Y9 @ SX0 )
!= SX0 )
| ~ ~ ( ~ ( r1 @ ( sK12_SY54 @ SX0 ) )
| ~ ( r3 @ SX0 @ ( sK12_SY54 @ SX0 ) @ ( sK11_Y9 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r4 @ SX0 @ SX1 @ SX2 )
| ( SX2
= ( sK21_Y23 @ SX1 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r4 @ SX0 @ SX1 @ SX2 )
| ( r4 @ SX0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ( SX2
!= ( sK21_Y23 @ SX1 @ SX0 ) )
| ( SX2
= ( sK21_Y23 @ SX1 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ( SX2
!= ( sK21_Y23 @ SX1 @ SX0 ) )
| ( r4 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(55,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX1 @ SX2 )
| ( SX2
= ( sK22_Y22 @ SX1 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX1 @ SX2 )
| ( r3 @ SX0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ( SX2
!= ( sK22_Y22 @ SX1 @ SX0 ) )
| ( SX2
= ( sK22_Y22 @ SX1 @ SX0 ) ) )
| ~ ! [SX2: $i] :
( ( SX2
!= ( sK22_Y22 @ SX1 @ SX0 ) )
| ( r3 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ( ( sK15_SY55 @ SX1 @ SX0 )
!= ( sK13_Y2 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( r2 @ SX1 @ ( sK16_SY58 @ SX1 @ SX0 ) )
| ~ ( r4 @ SX0 @ ( sK16_SY58 @ SX1 @ SX0 ) @ ( sK15_SY55 @ SX1 @ SX0 ) ) ) )
| ~ ~ ( ~ ( r3 @ ( sK14_SY57 @ SX1 @ SX0 ) @ SX0 @ ( sK13_Y2 @ SX1 @ SX0 ) )
| ~ ( r4 @ SX0 @ SX1 @ ( sK14_SY57 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(57,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ( r1 @ ( sK10_SY52 @ SX0 ) )
| ~ ( r4 @ SX0 @ ( sK10_SY52 @ SX0 ) @ ( sK8_Y8 @ SX0 ) ) )
| ~ ~ ( ( ( sK8_Y8 @ SX0 )
!= ( sK9_SY53 @ SX0 ) )
| ~ ( r1 @ ( sK9_SY53 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(58,plain,
( ( ! [SX0: $i] :
( ~ ( ( SX0
!= ( sK7_Y19 @ SX0 ) )
| ~ ( r1 @ ( sK7_Y19 @ SX0 ) ) )
| ~ ( ( SX0
!= ( sK6_SY51 @ SX0 ) )
| ~ ( r2 @ ( sK5_Y1 @ SX0 ) @ ( sK6_SY51 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(59,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( r2 @ SX0 @ SX1 )
| ( SX1
= ( sK23_Y21 @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ~ ( r2 @ SX0 @ SX1 )
| ( r2 @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( SX1
!= ( sK23_Y21 @ SX0 ) )
| ( SX1
= ( sK23_Y21 @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( SX1
!= ( sK23_Y21 @ SX0 ) )
| ( r2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SX0 ) )
| ~ ( r2 @ ( sK4_SY50 @ SX0 ) @ ( sK3_SY48 @ SX0 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SX0 ) @ ( sK2_Y2 @ SX0 ) ) )
| ( SX0
!= ( sK2_Y2 @ SX0 ) ) )
| ~ ( ~ ( r1 @ ( sK1_Y5 @ SX0 ) )
| ( SX0
!= ( sK1_Y5 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY79: $i] :
( ! [SY80: $i] :
( ! [SY81: $i] :
( ~ ( r2 @ SV1 @ SY81 )
| ( SY81 != SY80 ) )
| ~ ( r2 @ SY79 @ SY80 ) )
| ( SV1 = SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(62,plain,
! [SV2: $i] :
( ( ! [SY82: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != SY82 ) )
| ~ ( r2 @ SV2 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(63,plain,
! [SV3: $i] :
( ( ! [SY84: $i] :
~ ( ~ ~ ( ( ( sK19_SY59 @ SY84 @ SV3 )
!= ( sK17_Y4 @ SY84 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SY84 @ ( sK20_SY62 @ SY84 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SY84 @ SV3 ) @ ( sK19_SY59 @ SY84 @ SV3 ) ) ) )
| ~ ~ ( ~ ( r2 @ ( sK18_SY61 @ SY84 @ SV3 ) @ ( sK17_Y4 @ SY84 @ SV3 ) )
| ~ ( r3 @ SV3 @ SY84 @ ( sK18_SY61 @ SY84 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(64,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV4: $i] :
( ( ~ ( ( ( sK11_Y9 @ SV4 )
!= SV4 )
| ~ ~ ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) )
| ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(66,plain,
! [SV5: $i] :
( ( ! [SY85: $i] :
~ ( ~ ~ ( ~ ! [SY86: $i] :
( ~ ( r4 @ SV5 @ SY85 @ SY86 )
| ( SY86
= ( sK21_Y23 @ SY85 @ SV5 ) ) )
| ~ ! [SY87: $i] :
( ~ ( r4 @ SV5 @ SY85 @ SY87 )
| ( r4 @ SV5 @ SY85 @ SY87 ) ) )
| ~ ~ ( ~ ! [SY88: $i] :
( ( SY88
!= ( sK21_Y23 @ SY85 @ SV5 ) )
| ( SY88
= ( sK21_Y23 @ SY85 @ SV5 ) ) )
| ~ ! [SY89: $i] :
( ( SY89
!= ( sK21_Y23 @ SY85 @ SV5 ) )
| ( r4 @ SV5 @ SY85 @ SY89 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV6: $i] :
( ( ! [SY90: $i] :
~ ( ~ ~ ( ~ ! [SY91: $i] :
( ~ ( r3 @ SV6 @ SY90 @ SY91 )
| ( SY91
= ( sK22_Y22 @ SY90 @ SV6 ) ) )
| ~ ! [SY92: $i] :
( ~ ( r3 @ SV6 @ SY90 @ SY92 )
| ( r3 @ SV6 @ SY90 @ SY92 ) ) )
| ~ ~ ( ~ ! [SY93: $i] :
( ( SY93
!= ( sK22_Y22 @ SY90 @ SV6 ) )
| ( SY93
= ( sK22_Y22 @ SY90 @ SV6 ) ) )
| ~ ! [SY94: $i] :
( ( SY94
!= ( sK22_Y22 @ SY90 @ SV6 ) )
| ( r3 @ SV6 @ SY90 @ SY94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV7: $i] :
( ( ! [SY95: $i] :
~ ( ~ ~ ( ( ( sK15_SY55 @ SY95 @ SV7 )
!= ( sK13_Y2 @ SY95 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SY95 @ ( sK16_SY58 @ SY95 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SY95 @ SV7 ) @ ( sK15_SY55 @ SY95 @ SV7 ) ) ) )
| ~ ~ ( ~ ( r3 @ ( sK14_SY57 @ SY95 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SY95 @ SV7 ) )
| ~ ( r4 @ SV7 @ SY95 @ ( sK14_SY57 @ SY95 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) )
| ~ ~ ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) )
| ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV9: $i] :
( ( ~ ( ( SV9
!= ( sK7_Y19 @ SV9 ) )
| ~ ( r1 @ ( sK7_Y19 @ SV9 ) ) )
| ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(71,plain,
! [SV10: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) )
| ~ ~ ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV11: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) )
| ( SV11
!= ( sK2_Y2 @ SV11 ) ) )
| ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV12: $i,SV1: $i] :
( ( ! [SY100: $i] :
( ! [SY81: $i] :
( ~ ( r2 @ SV1 @ SY81 )
| ( SY81 != SY100 ) )
| ~ ( r2 @ SV12 @ SY100 ) )
| ( SV1 = SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV2: $i,SV13: $i] :
( ( ! [SY102: $i] :
( ~ ( r1 @ SY102 )
| ( SY102 != SV13 ) )
| ~ ( r2 @ SV2 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) )
| ~ ~ ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(76,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(77,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(78,plain,
! [SV4: $i] :
( ( ( ( sK11_Y9 @ SV4 )
!= SV4 )
| ~ ~ ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) )
| ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(79,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) )
| ~ ~ ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(80,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(81,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( ~ ~ ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) )
| ~ ~ ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(82,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) )
| ~ ~ ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) )
| ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV9: $i] :
( ( ( ~ ( ( SV9
!= ( sK7_Y19 @ SV9 ) )
| ~ ( r1 @ ( sK7_Y19 @ SV9 ) ) ) )
= $true )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(84,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) )
| ~ ~ ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(85,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) )
| ( SV11
!= ( sK2_Y2 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV12: $i,SV1: $i] :
( ( ( ! [SY100: $i] :
( ! [SY81: $i] :
( ~ ( r2 @ SV1 @ SY81 )
| ( SY81 != SY100 ) )
| ~ ( r2 @ SV12 @ SY100 ) ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV2: $i,SV13: $i] :
( ( ( ! [SY102: $i] :
( ~ ( r1 @ SY102 )
| ( SY102 != SV13 ) ) )
= $true )
| ( ( ~ ( r2 @ SV2 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ~ ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) )
| ~ ~ ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(89,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(90,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(91,plain,
! [SV4: $i] :
( ( ( ( sK11_Y9 @ SV4 )
!= SV4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(92,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) )
| ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(93,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) )
| ~ ~ ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) )
| ~ ~ ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ~ ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) )
| ~ ~ ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(97,plain,
! [SV8: $i] :
( ( ~ ~ ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) )
| ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(98,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK7_Y19 @ SV9 ) )
| ~ ( r1 @ ( sK7_Y19 @ SV9 ) ) )
= $false )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(100,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(101,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) )
| ( SV11
!= ( sK2_Y2 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(102,plain,
! [SV12: $i,SV18: $i,SV1: $i] :
( ( ( ! [SY111: $i] :
( ~ ( r2 @ SV1 @ SY111 )
| ( SY111 != SV18 ) )
| ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(103,plain,
! [SV2: $i,SV13: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 )
| ( SV19 != SV13 ) )
= $true )
| ( ( ~ ( r2 @ SV2 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(104,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ~ ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(105,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(106,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(107,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) )
| ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(108,plain,
! [SV4: $i] :
( ( ( sK11_Y9 @ SV4 )
= SV4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(109,plain,
! [SV4: $i] :
( ( ~ ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) )
| ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(110,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(111,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ~ ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(112,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ~ ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(113,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ~ ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(114,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ~ ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(115,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ~ ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(116,plain,
! [SV8: $i] :
( ( ~ ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(117,plain,
! [SV8: $i] :
( ( ~ ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) )
| ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(118,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK7_Y19 @ SV9 ) ) )
= $false )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(119,plain,
! [SV9: $i] :
( ( ( ~ ( r1 @ ( sK7_Y19 @ SV9 ) ) )
= $false )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(120,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(121,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(122,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(123,plain,
! [SV11: $i] :
( ( ( ( SV11
!= ( sK2_Y2 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(124,plain,
! [SV12: $i,SV18: $i,SV1: $i] :
( ( ( ! [SY111: $i] :
( ~ ( r2 @ SV1 @ SY111 )
| ( SY111 != SV18 ) ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(125,plain,
! [SV2: $i,SV13: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 ) )
= $true )
| ( ( ( SV19 != SV13 ) )
= $true )
| ( ( ~ ( r2 @ SV2 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(126,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(127,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(128,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(129,plain,
( ( ~ ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(130,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(131,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(132,plain,
! [SV4: $i] :
( ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) )
| ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(133,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(134,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(135,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(136,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(137,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(138,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(139,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) )
| ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(140,plain,
! [SV8: $i] :
( ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) )
| ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(141,plain,
! [SV9: $i] :
( ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(142,plain,
! [SV9: $i] :
( ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true )
| ( ( ~ ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(143,plain,
! [SV10: $i] :
( ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(144,plain,
! [SV10: $i] :
( ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) )
| ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(145,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(146,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(147,plain,
! [SV12: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20 != SV18 ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(148,plain,
! [SV2: $i,SV13: $i,SV19: $i] :
( ( ( r1 @ SV19 )
= $false )
| ( ( ( SV19 != SV13 ) )
= $true )
| ( ( ~ ( r2 @ SV2 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(149,plain,
! [SV3: $i,SV14: $i] :
( ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(150,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(151,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( SX0 = sK24_Y24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(152,plain,
( ( ! [SX0: $i] :
( ~ ( r1 @ SX0 )
| ( r1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(153,plain,
( ( ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( SX0 = sK24_Y24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(154,plain,
( ( ! [SX0: $i] :
( ( SX0 != sK24_Y24 )
| ( r1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(155,plain,
! [SV4: $i] :
( ( ~ ( r1 @ ( sK12_SY54 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(156,plain,
! [SV4: $i] :
( ( ~ ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(157,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
| ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(159,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
| ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV7: $i,SV17: $i] :
( ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(162,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(163,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK10_SY52 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(164,plain,
! [SV8: $i] :
( ( ~ ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(165,plain,
! [SV8: $i] :
( ( ( ( sK8_Y8 @ SV8 )
!= ( sK9_SY53 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(166,plain,
! [SV8: $i] :
( ( ~ ( r1 @ ( sK9_SY53 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(167,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(168,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK6_SY51 @ SV9 ) )
| ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(169,plain,
! [SV10: $i] :
( ( ~ ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(170,plain,
! [SV10: $i] :
( ( ~ ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(171,plain,
! [SV10: $i] :
( ( ~ ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(172,plain,
! [SV10: $i] :
( ( ~ ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(173,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
| ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(174,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(175,plain,
! [SV12: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 ) )
= $true )
| ( ( ( SV20 != SV18 ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(176,plain,
! [SV2: $i,SV13: $i,SV19: $i] :
( ( ( SV19 = SV13 )
= $false )
| ( ( r1 @ SV19 )
= $false )
| ( ( ~ ( r2 @ SV2 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(177,plain,
! [SV3: $i,SV14: $i] :
( ( ( ( sK19_SY59 @ SV14 @ SV3 )
!= ( sK17_Y4 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(178,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(179,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(180,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(181,plain,
! [SV21: $i] :
( ( ~ ( r1 @ SV21 )
| ( SV21 = sK24_Y24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(182,plain,
! [SV22: $i] :
( ( ~ ( r1 @ SV22 )
| ( r1 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(183,plain,
! [SV23: $i] :
( ( ( SV23 != sK24_Y24 )
| ( SV23 = sK24_Y24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(184,plain,
! [SV24: $i] :
( ( ( SV24 != sK24_Y24 )
| ( r1 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(185,plain,
! [SV4: $i] :
( ( r1 @ ( sK12_SY54 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(186,plain,
! [SV4: $i] :
( ( r3 @ SV4 @ ( sK12_SY54 @ SV4 ) @ ( sK11_Y9 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(187,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(188,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(189,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(190,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(191,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(192,plain,
! [SV16: $i,SV6: $i] :
( ( ~ ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(193,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(194,plain,
! [SV6: $i,SV16: $i] :
( ( ~ ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(195,plain,
! [SV7: $i,SV17: $i] :
( ( ( ( sK15_SY55 @ SV17 @ SV7 )
!= ( sK13_Y2 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(196,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(197,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(198,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(199,plain,
! [SV8: $i] :
( ( r1 @ ( sK10_SY52 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(200,plain,
! [SV8: $i] :
( ( r4 @ SV8 @ ( sK10_SY52 @ SV8 ) @ ( sK8_Y8 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(201,plain,
! [SV8: $i] :
( ( ( sK8_Y8 @ SV8 )
= ( sK9_SY53 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(202,plain,
! [SV8: $i] :
( ( r1 @ ( sK9_SY53 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(203,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(204,plain,
! [SV9: $i] :
( ( ( ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(205,plain,
! [SV9: $i] :
( ( ( ( SV9
!= ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(206,plain,
! [SV9: $i] :
( ( ( ~ ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) ) )
= $false )
| ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(207,plain,
! [SV10: $i] :
( ( ! [SY96: $i] :
( ~ ( r2 @ SV10 @ SY96 )
| ( SY96
= ( sK23_Y21 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(208,plain,
! [SV10: $i] :
( ( ! [SY97: $i] :
( ~ ( r2 @ SV10 @ SY97 )
| ( r2 @ SV10 @ SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(209,plain,
! [SV10: $i] :
( ( ! [SY98: $i] :
( ( SY98
!= ( sK23_Y21 @ SV10 ) )
| ( SY98
= ( sK23_Y21 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(210,plain,
! [SV10: $i] :
( ( ! [SY99: $i] :
( ( SY99
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SY99 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(211,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(212,plain,
! [SV11: $i] :
( ( ( ~ ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(213,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(214,plain,
! [SV11: $i] :
( ( ( ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(215,plain,
! [SV12: $i,SV18: $i,SV20: $i,SV1: $i] :
( ( ( r2 @ SV1 @ SV20 )
= $false )
| ( ( ( SV20 != SV18 ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(216,plain,
! [SV19: $i,SV13: $i,SV2: $i] :
( ( ( r2 @ SV2 @ SV13 )
= $false )
| ( ( r1 @ SV19 )
= $false )
| ( ( SV19 = SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(217,plain,
! [SV3: $i,SV14: $i] :
( ( ( sK19_SY59 @ SV14 @ SV3 )
= ( sK17_Y4 @ SV14 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(218,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(219,plain,
! [SV3: $i,SV14: $i] :
( ( r2 @ ( sK18_SY61 @ SV14 @ SV3 ) @ ( sK17_Y4 @ SV14 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(220,plain,
! [SV14: $i,SV3: $i] :
( ( r3 @ SV3 @ SV14 @ ( sK18_SY61 @ SV14 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(221,plain,
! [SV21: $i] :
( ( ( ~ ( r1 @ SV21 ) )
= $true )
| ( ( SV21 = sK24_Y24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(222,plain,
! [SV22: $i] :
( ( ( ~ ( r1 @ SV22 ) )
= $true )
| ( ( r1 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(223,plain,
! [SV23: $i] :
( ( ( ( SV23 != sK24_Y24 ) )
= $true )
| ( ( SV23 = sK24_Y24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(224,plain,
! [SV24: $i] :
( ( ( ( SV24 != sK24_Y24 ) )
= $true )
| ( ( r1 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(225,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY103: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY103 )
| ( SY103
= ( sK21_Y23 @ SV15 @ SV5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(226,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY104: $i] :
( ~ ( r4 @ SV5 @ SV15 @ SY104 )
| ( r4 @ SV5 @ SV15 @ SY104 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(227,plain,
! [SV5: $i,SV15: $i] :
( ( ! [SY105: $i] :
( ( SY105
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SY105
= ( sK21_Y23 @ SV15 @ SV5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(228,plain,
! [SV5: $i,SV15: $i] :
( ( ! [SY106: $i] :
( ( SY106
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SY106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(229,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY107: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY107 )
| ( SY107
= ( sK22_Y22 @ SV16 @ SV6 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(230,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY108: $i] :
( ~ ( r3 @ SV6 @ SV16 @ SY108 )
| ( r3 @ SV6 @ SV16 @ SY108 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(231,plain,
! [SV6: $i,SV16: $i] :
( ( ! [SY109: $i] :
( ( SY109
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SY109
= ( sK22_Y22 @ SV16 @ SV6 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(232,plain,
! [SV6: $i,SV16: $i] :
( ( ! [SY110: $i] :
( ( SY110
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SY110 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(233,plain,
! [SV7: $i,SV17: $i] :
( ( ( sK15_SY55 @ SV17 @ SV7 )
= ( sK13_Y2 @ SV17 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(234,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(235,plain,
! [SV7: $i,SV17: $i] :
( ( r3 @ ( sK14_SY57 @ SV17 @ SV7 ) @ SV7 @ ( sK13_Y2 @ SV17 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(236,plain,
! [SV17: $i,SV7: $i] :
( ( r4 @ SV7 @ SV17 @ ( sK14_SY57 @ SV17 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(237,plain,
! [SV9: $i] :
( ( ( SV9
= ( sK6_SY51 @ SV9 ) )
= $true )
| ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(238,plain,
! [SV9: $i] :
( ( ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) )
= $true )
| ( ( SV9
= ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(239,plain,
! [SV9: $i] :
( ( ( SV9
= ( sK6_SY51 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(240,plain,
! [SV9: $i] :
( ( ( r2 @ ( sK5_Y1 @ SV9 ) @ ( sK6_SY51 @ SV9 ) )
= $true )
| ( ( r1 @ ( sK7_Y19 @ SV9 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(241,plain,
! [SV25: $i,SV10: $i] :
( ( ~ ( r2 @ SV10 @ SV25 )
| ( SV25
= ( sK23_Y21 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(242,plain,
! [SV26: $i,SV10: $i] :
( ( ~ ( r2 @ SV10 @ SV26 )
| ( r2 @ SV10 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(243,plain,
! [SV10: $i,SV27: $i] :
( ( ( SV27
!= ( sK23_Y21 @ SV10 ) )
| ( SV27
= ( sK23_Y21 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(244,plain,
! [SV10: $i,SV28: $i] :
( ( ( SV28
!= ( sK23_Y21 @ SV10 ) )
| ( r2 @ SV10 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(245,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(246,plain,
! [SV11: $i] :
( ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(247,plain,
! [SV11: $i] :
( ( ( r1 @ ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(248,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( SV11
= ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(249,plain,
! [SV12: $i,SV1: $i,SV18: $i,SV20: $i] :
( ( ( SV20 = SV18 )
= $false )
| ( ( r2 @ SV1 @ SV20 )
= $false )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(250,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
| ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(251,plain,
! [SV21: $i] :
( ( ( r1 @ SV21 )
= $false )
| ( ( SV21 = sK24_Y24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(252,plain,
! [SV22: $i] :
( ( ( r1 @ SV22 )
= $false )
| ( ( r1 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(253,plain,
! [SV23: $i] :
( ( ( SV23 = sK24_Y24 )
= $false )
| ( ( SV23 = sK24_Y24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(254,plain,
! [SV24: $i] :
( ( ( SV24 = sK24_Y24 )
= $false )
| ( ( r1 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(255,plain,
! [SV29: $i,SV15: $i,SV5: $i] :
( ( ~ ( r4 @ SV5 @ SV15 @ SV29 )
| ( SV29
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(256,plain,
! [SV30: $i,SV15: $i,SV5: $i] :
( ( ~ ( r4 @ SV5 @ SV15 @ SV30 )
| ( r4 @ SV5 @ SV15 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(257,plain,
! [SV5: $i,SV15: $i,SV31: $i] :
( ( ( SV31
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( SV31
= ( sK21_Y23 @ SV15 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(258,plain,
! [SV5: $i,SV15: $i,SV32: $i] :
( ( ( SV32
!= ( sK21_Y23 @ SV15 @ SV5 ) )
| ( r4 @ SV5 @ SV15 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(259,plain,
! [SV33: $i,SV16: $i,SV6: $i] :
( ( ~ ( r3 @ SV6 @ SV16 @ SV33 )
| ( SV33
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(260,plain,
! [SV34: $i,SV16: $i,SV6: $i] :
( ( ~ ( r3 @ SV6 @ SV16 @ SV34 )
| ( r3 @ SV6 @ SV16 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(261,plain,
! [SV6: $i,SV16: $i,SV35: $i] :
( ( ( SV35
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( SV35
= ( sK22_Y22 @ SV16 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(262,plain,
! [SV6: $i,SV16: $i,SV36: $i] :
( ( ( SV36
!= ( sK22_Y22 @ SV16 @ SV6 ) )
| ( r3 @ SV6 @ SV16 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(263,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
| ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(264,plain,
! [SV25: $i,SV10: $i] :
( ( ( ~ ( r2 @ SV10 @ SV25 ) )
= $true )
| ( ( SV25
= ( sK23_Y21 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(265,plain,
! [SV26: $i,SV10: $i] :
( ( ( ~ ( r2 @ SV10 @ SV26 ) )
= $true )
| ( ( r2 @ SV10 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(266,plain,
! [SV10: $i,SV27: $i] :
( ( ( ( SV27
!= ( sK23_Y21 @ SV10 ) ) )
= $true )
| ( ( SV27
= ( sK23_Y21 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(267,plain,
! [SV10: $i,SV28: $i] :
( ( ( ( SV28
!= ( sK23_Y21 @ SV10 ) ) )
= $true )
| ( ( r2 @ SV10 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(268,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) )
| ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(269,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(270,plain,
! [SV20: $i,SV1: $i,SV18: $i,SV12: $i] :
( ( ( r2 @ SV12 @ SV18 )
= $false )
| ( ( r2 @ SV1 @ SV20 )
= $false )
| ( ( SV20 = SV18 )
= $false )
| ( ( SV1 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(271,plain,
! [SV3: $i,SV14: $i] :
( ( ~ ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(272,plain,
! [SV14: $i,SV3: $i] :
( ( ~ ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(273,plain,
! [SV29: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( r4 @ SV5 @ SV15 @ SV29 ) )
= $true )
| ( ( SV29
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(274,plain,
! [SV30: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( r4 @ SV5 @ SV15 @ SV30 ) )
= $true )
| ( ( r4 @ SV5 @ SV15 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(275,plain,
! [SV5: $i,SV15: $i,SV31: $i] :
( ( ( ( SV31
!= ( sK21_Y23 @ SV15 @ SV5 ) ) )
= $true )
| ( ( SV31
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(276,plain,
! [SV5: $i,SV15: $i,SV32: $i] :
( ( ( ( SV32
!= ( sK21_Y23 @ SV15 @ SV5 ) ) )
= $true )
| ( ( r4 @ SV5 @ SV15 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(277,plain,
! [SV33: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ SV16 @ SV33 ) )
= $true )
| ( ( SV33
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(278,plain,
! [SV34: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ SV16 @ SV34 ) )
= $true )
| ( ( r3 @ SV6 @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(279,plain,
! [SV6: $i,SV16: $i,SV35: $i] :
( ( ( ( SV35
!= ( sK22_Y22 @ SV16 @ SV6 ) ) )
= $true )
| ( ( SV35
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(280,plain,
! [SV6: $i,SV16: $i,SV36: $i] :
( ( ( ( SV36
!= ( sK22_Y22 @ SV16 @ SV6 ) ) )
= $true )
| ( ( r3 @ SV6 @ SV16 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(281,plain,
! [SV7: $i,SV17: $i] :
( ( ~ ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(282,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(283,plain,
! [SV25: $i,SV10: $i] :
( ( ( r2 @ SV10 @ SV25 )
= $false )
| ( ( SV25
= ( sK23_Y21 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(284,plain,
! [SV26: $i,SV10: $i] :
( ( ( r2 @ SV10 @ SV26 )
= $false )
| ( ( r2 @ SV10 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(285,plain,
! [SV10: $i,SV27: $i] :
( ( ( SV27
= ( sK23_Y21 @ SV10 ) )
= $false )
| ( ( SV27
= ( sK23_Y21 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(286,plain,
! [SV10: $i,SV28: $i] :
( ( ( SV28
= ( sK23_Y21 @ SV10 ) )
= $false )
| ( ( r2 @ SV10 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(287,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK4_SY50 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(288,plain,
! [SV11: $i] :
( ( ( ~ ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(289,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(290,plain,
! [SV11: $i] :
( ( ( ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(291,plain,
! [SV3: $i,SV14: $i] :
( ( r2 @ SV14 @ ( sK20_SY62 @ SV14 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(292,plain,
! [SV14: $i,SV3: $i] :
( ( r3 @ SV3 @ ( sK20_SY62 @ SV14 @ SV3 ) @ ( sK19_SY59 @ SV14 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(293,plain,
! [SV29: $i,SV15: $i,SV5: $i] :
( ( ( r4 @ SV5 @ SV15 @ SV29 )
= $false )
| ( ( SV29
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(294,plain,
! [SV30: $i,SV15: $i,SV5: $i] :
( ( ( r4 @ SV5 @ SV15 @ SV30 )
= $false )
| ( ( r4 @ SV5 @ SV15 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(295,plain,
! [SV5: $i,SV15: $i,SV31: $i] :
( ( ( SV31
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $false )
| ( ( SV31
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(296,plain,
! [SV5: $i,SV15: $i,SV32: $i] :
( ( ( SV32
= ( sK21_Y23 @ SV15 @ SV5 ) )
= $false )
| ( ( r4 @ SV5 @ SV15 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(297,plain,
! [SV33: $i,SV16: $i,SV6: $i] :
( ( ( r3 @ SV6 @ SV16 @ SV33 )
= $false )
| ( ( SV33
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(298,plain,
! [SV34: $i,SV16: $i,SV6: $i] :
( ( ( r3 @ SV6 @ SV16 @ SV34 )
= $false )
| ( ( r3 @ SV6 @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(299,plain,
! [SV6: $i,SV16: $i,SV35: $i] :
( ( ( SV35
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $false )
| ( ( SV35
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(300,plain,
! [SV6: $i,SV16: $i,SV36: $i] :
( ( ( SV36
= ( sK22_Y22 @ SV16 @ SV6 ) )
= $false )
| ( ( r3 @ SV6 @ SV16 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(301,plain,
! [SV7: $i,SV17: $i] :
( ( r2 @ SV17 @ ( sK16_SY58 @ SV17 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(302,plain,
! [SV17: $i,SV7: $i] :
( ( r4 @ SV7 @ ( sK16_SY58 @ SV17 @ SV7 ) @ ( sK15_SY55 @ SV17 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(303,plain,
! [SV11: $i] :
( ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(304,plain,
! [SV11: $i] :
( ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(305,plain,
! [SV11: $i] :
( ( ( r1 @ ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(306,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r2 @ ( sK3_SY48 @ SV11 ) @ ( sK2_Y2 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(307,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(308,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) )
| ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(309,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(310,plain,
! [SV11: $i] :
( ( ( ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(311,plain,
! [SV11: $i] :
( ( ( ~ ( r1 @ ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(312,plain,
! [SV11: $i] :
( ( ( ( SV11
!= ( sK1_Y5 @ SV11 ) ) )
= $false )
| ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(313,plain,
! [SV11: $i] :
( ( ( r1 @ ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(314,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r1 @ ( sK4_SY50 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(315,plain,
! [SV11: $i] :
( ( ( r1 @ ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(316,plain,
! [SV11: $i] :
( ( ( SV11
= ( sK1_Y5 @ SV11 ) )
= $true )
| ( ( r2 @ ( sK4_SY50 @ SV11 ) @ ( sK3_SY48 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(317,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[108,316,315,314,313,306,305,302,301,300,299,298,297,296,295,294,293,292,291,286,285,284,283,270,254,253,252,251,248,247,240,239,238,237,236,235,233,220,219,217,216,202,201,200,199,186,185]) ).
thf(318,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 2 10:45:23 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36
% 0.15/0.36 No.of.Axioms: 11
% 0.15/0.36
% 0.15/0.36 Length.of.Defs: 0
% 0.15/0.36
% 0.15/0.36 Contains.Choice.Funs: false
% 0.15/0.36 (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 0.69/0.88
% 0.69/0.88 ********************************
% 0.69/0.88 * All subproblems solved! *
% 0.69/0.88 ********************************
% 0.69/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:317,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.73/0.92
% 0.73/0.92 %**** Beginning of derivation protocol ****
% 0.73/0.92 % SZS output start CNFRefutation
% See solution above
% 0.73/0.92
% 0.73/0.92 %**** End of derivation protocol ****
% 0.73/0.92 %**** no. of clauses in derivation: 318 ****
% 0.73/0.92 %**** clause counter: 317 ****
% 0.73/0.92
% 0.73/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:317,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------