%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUN089+2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:06 AM UTC 2026
% Result : Theorem 0.52s 0.27s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 323 ( 194 unt; 0 typ; 0 def)
% Number of atoms : 1807 ( 782 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 3788 (1432 ~; 533 |; 69 &;1754 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 7 con; 0-3 aty)
% Number of variables : 832 ( 0 ^; 772 !; 60 ?; 832 :)
% 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_SY88,type,
sK10_SY88: $i > $i > $i ).
thf(tp_sK11_SY91,type,
sK11_SY91: $i > $i > $i ).
thf(tp_sK12_SY93,type,
sK12_SY93: $i > $i > $i ).
thf(tp_sK13_SY99,type,
sK13_SY99: $i ).
thf(tp_sK14_SY98,type,
sK14_SY98: $i > $i ).
thf(tp_sK15_SY100,type,
sK15_SY100: $i > $i ).
thf(tp_sK16_SY101,type,
sK16_SY101: $i > $i ).
thf(tp_sK17_SY58,type,
sK17_SY58: $i > $i ).
thf(tp_sK18_SY58,type,
sK18_SY58: $i > $i ).
thf(tp_sK19_SY102,type,
sK19_SY102: $i > $i > $i ).
thf(tp_sK1_Y1,type,
sK1_Y1: $i ).
thf(tp_sK20_SY104,type,
sK20_SY104: $i > $i > $i ).
thf(tp_sK21_SY108,type,
sK21_SY108: $i > $i > $i ).
thf(tp_sK22_SY110,type,
sK22_SY110: $i > $i > $i ).
thf(tp_sK23_SY111,type,
sK23_SY111: $i > $i ).
thf(tp_sK24_SY112,type,
sK24_SY112: $i > $i ).
thf(tp_sK25_SY113,type,
sK25_SY113: $i > $i > $i ).
thf(tp_sK26_SY114,type,
sK26_SY114: $i > $i > $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY50,type,
sK3_SY50: $i > $i ).
thf(tp_sK4_SY52,type,
sK4_SY52: $i > $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK7_SY54,type,
sK7_SY54: $i > $i ).
thf(tp_sK8_SY57,type,
sK8_SY57: $i > $i ).
thf(tp_sK9_SY81,type,
sK9_SY81: $i > $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] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ( Y4 != Y1 )
| ~ ( r1 @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqtwo) ).
thf(13,negated_conjecture,
( ( ! [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ( Y4 != Y1 )
| ~ ( r1 @ Y4 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ! [Y1: $i] :
( ! [Y2: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ Y2 ) )
| ~ ( r2 @ Y2 @ Y1 ) )
| ! [Y4: $i] :
( ( Y4 != Y1 )
| ~ ( r1 @ Y4 ) ) ) )
= $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,
( ( ! [SY47: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY47 ) )
| ~ ( r2 @ SY47 @ sK1_Y1 ) )
| ! [SY49: $i] :
( ( SY49 != sK1_Y1 )
| ~ ( r1 @ SY49 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(27,plain,
( ( ~ ( ! [SY47: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY47 ) )
| ~ ( r2 @ SY47 @ sK1_Y1 ) )
| ! [SY49: $i] :
( ( SY49 != sK1_Y1 )
| ~ ( r1 @ SY49 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(28,plain,
( ( ? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(29,plain,
( ( ! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ~ ( r3 @ X13 @ X14 @ X15 )
& ( X15 != Y22 ) )
| ( ( r3 @ X13 @ X14 @ X15 )
& ( X15 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(31,plain,
( ( ! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ~ ( r4 @ X16 @ X17 @ X18 )
& ( X18 != Y23 ) )
| ( ( r4 @ X16 @ X17 @ X18 )
& ( X18 = Y23 ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(32,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(copy,[status(thm)],[21]) ).
thf(33,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(copy,[status(thm)],[20]) ).
thf(34,plain,
( ( ! [X3: $i,X10: $i] :
( ! [Y12: $i] :
( ! [Y13: $i] :
( ~ ( r2 @ X3 @ Y13 )
| ( Y13 != Y12 ) )
| ~ ( r2 @ X10 @ Y12 ) )
| ( X3 = X10 ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(35,plain,
( ( ! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) )
& ( Y9 = X4 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(36,plain,
( ( ! [X5: $i] :
? [Y8: $i] :
( ? [Y17: $i] :
( ( r1 @ Y17 )
& ( r4 @ X5 @ Y17 @ Y8 ) )
& ? [Y18: $i] :
( ( r1 @ Y18 )
& ( Y8 = Y18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(37,plain,
( ( ! [X6: $i] :
( ? [Y19: $i] :
( ( r1 @ Y19 )
& ( X6 = Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( r2 @ Y1 @ Y11 )
& ( X6 = Y11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(39,plain,
( ( ~ ( ! [SY47: $i] :
( ! [Y3: $i] :
( ~ ( r1 @ Y3 )
| ~ ( r2 @ Y3 @ SY47 ) )
| ~ ( r2 @ SY47 @ sK1_Y1 ) )
| ! [SY49: $i] :
( ( SY49 != sK1_Y1 )
| ~ ( r1 @ SY49 ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(40,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
( ~ ( ~ ~ ( r2 @ SX0 @ SX2 )
| ~ ( ( SX2 != SX1 ) ) )
| ~ ( ~ ( r2 @ SX0 @ SX2 )
| ( SX2 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(41,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ~ ( r3 @ SX0 @ SX2 @ SX1 ) )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(42,plain,
( ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( r1 @ SX1 )
| ~ ( r2 @ SX1 @ SX0 ) )
| ~ ( r2 @ SX0 @ sK1_Y1 ) )
| ! [SX0: $i] :
( ( SX0 != sK1_Y1 )
| ~ ( r1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ~ ( r4 @ SX0 @ SX2 @ SX1 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ( SX1 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(44,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ~ ( ~ ( r1 @ SX1 )
| ( SX0 != SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX2 )
| ( SX0 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(45,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX4 )
| ~ ( r4 @ SX0 @ SX4 @ SX3 ) )
| ( SX3 != SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r3 @ SX3 @ SX0 @ SX2 )
| ~ ( r4 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(46,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ~ ( r1 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) )
| ~ ( ~ ( r1 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(47,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ! [SX3: $i] :
( ~ ( r2 @ SX0 @ SX3 )
| ( SX3 != SX2 ) )
| ~ ( r2 @ SX1 @ SX2 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( ~ ~ ( r4 @ SX0 @ SX1 @ SX3 )
| ~ ( ( SX3 != SX2 ) ) )
| ~ ( ~ ( r4 @ SX0 @ SX1 @ SX3 )
| ( SX3 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( r1 @ SX2 )
| ( SX2 != SX1 ) )
| ~ ( r2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(50,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ! [SX3: $i] :
( ~ ( ~ ~ ( r3 @ SX0 @ SX1 @ SX3 )
| ~ ( ( SX3 != SX2 ) ) )
| ~ ( ~ ( r3 @ SX0 @ SX1 @ SX3 )
| ( SX3 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ! [SX2: $i] :
~ ~ ( ~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX4 )
| ~ ( r3 @ SX0 @ SX4 @ SX3 ) )
| ( SX3 != SX2 ) )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r2 @ SX3 @ SX2 )
| ~ ( r3 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(52,plain,
! [SV1: $i] :
( ( ~ ! [SY50: $i] :
~ ! [SY51: $i] :
( ~ ( ~ ~ ( r2 @ SV1 @ SY51 )
| ~ ( ( SY51 != SY50 ) ) )
| ~ ( ~ ( r2 @ SV1 @ SY51 )
| ( SY51 != SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(53,plain,
! [SV2: $i] :
( ( ~ ! [SY52: $i] :
~ ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( r1 @ SY53 )
| ~ ( r3 @ SV2 @ SY53 @ SY52 ) )
| ( SY52 != SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(54,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( r1 @ SX1 )
| ~ ( r2 @ SX1 @ SX0 ) )
| ~ ( r2 @ SX0 @ sK1_Y1 ) )
| ! [SX0: $i] :
( ( SX0 != sK1_Y1 )
| ~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(55,plain,
! [SV3: $i] :
( ( ~ ! [SY54: $i] :
~ ~ ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( r1 @ SY55 )
| ~ ( r4 @ SV3 @ SY55 @ SY54 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ( SY54 != SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(56,plain,
! [SV4: $i] :
( ( ~ ! [SY57: $i] :
~ ~ ( ~ ( r1 @ SY57 )
| ( SV4 != SY57 ) )
| ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(57,plain,
! [SV5: $i] :
( ( ! [SY60: $i] :
~ ! [SY61: $i] :
~ ~ ( ~ ~ ! [SY62: $i] :
~ ~ ( ~ ~ ! [SY63: $i] :
~ ~ ( ~ ( r2 @ SY60 @ SY63 )
| ~ ( r4 @ SV5 @ SY63 @ SY62 ) )
| ( SY62 != SY61 ) )
| ~ ~ ! [SY64: $i] :
~ ~ ( ~ ( r3 @ SY64 @ SV5 @ SY61 )
| ~ ( r4 @ SV5 @ SY60 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(58,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ~ ( r1 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) )
| ~ ( ~ ( r1 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(59,plain,
! [SV6: $i] :
( ( ! [SY65: $i] :
( ! [SY66: $i] :
( ! [SY67: $i] :
( ~ ( r2 @ SV6 @ SY67 )
| ( SY67 != SY66 ) )
| ~ ( r2 @ SY65 @ SY66 ) )
| ( SV6 = SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(60,plain,
! [SV7: $i] :
( ( ! [SY68: $i] :
~ ! [SY69: $i] :
~ ! [SY70: $i] :
( ~ ( ~ ~ ( r4 @ SV7 @ SY68 @ SY70 )
| ~ ( ( SY70 != SY69 ) ) )
| ~ ( ~ ( r4 @ SV7 @ SY68 @ SY70 )
| ( SY70 != SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(61,plain,
! [SV8: $i] :
( ( ! [SY71: $i] :
( ! [SX2: $i] :
( ~ ( r1 @ SX2 )
| ( SX2 != SY71 ) )
| ~ ( r2 @ SV8 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(62,plain,
! [SV9: $i] :
( ( ! [SY73: $i] :
~ ! [SY74: $i] :
~ ! [SY75: $i] :
( ~ ( ~ ~ ( r3 @ SV9 @ SY73 @ SY75 )
| ~ ( ( SY75 != SY74 ) ) )
| ~ ( ~ ( r3 @ SV9 @ SY73 @ SY75 )
| ( SY75 != SY74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV10: $i] :
( ( ! [SY76: $i] :
~ ! [SY77: $i] :
~ ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ~ ! [SY79: $i] :
~ ~ ( ~ ( r2 @ SY76 @ SY79 )
| ~ ( r3 @ SV10 @ SY79 @ SY78 ) )
| ( SY78 != SY77 ) )
| ~ ~ ! [SY80: $i] :
~ ~ ( ~ ( r2 @ SY80 @ SY77 )
| ~ ( r3 @ SV10 @ SY76 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(64,plain,
! [SV1: $i] :
( ( ! [SY50: $i] :
~ ! [SY51: $i] :
( ~ ( ~ ~ ( r2 @ SV1 @ SY51 )
| ~ ( ( SY51 != SY50 ) ) )
| ~ ( ~ ( r2 @ SV1 @ SY51 )
| ( SY51 != SY50 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV2: $i] :
( ( ! [SY52: $i] :
~ ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( r1 @ SY53 )
| ~ ( r3 @ SV2 @ SY53 @ SY52 ) )
| ( SY52 != SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(66,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( r1 @ SX1 )
| ~ ( r2 @ SX1 @ SX0 ) )
| ~ ( r2 @ SX0 @ sK1_Y1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(67,plain,
( ( ! [SX0: $i] :
( ( SX0 != sK1_Y1 )
| ~ ( r1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(68,plain,
! [SV3: $i] :
( ( ! [SY54: $i] :
~ ~ ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( r1 @ SY55 )
| ~ ( r4 @ SV3 @ SY55 @ SY54 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ( SY54 != SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(69,plain,
! [SV4: $i] :
( ( ( ~ ! [SY57: $i] :
~ ~ ( ~ ( r1 @ SY57 )
| ( SV4 != SY57 ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(70,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ! [SY81: $i] :
~ ~ ( ~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY82 ) )
| ( SY82 != SY81 ) )
| ~ ~ ! [SY84: $i] :
~ ~ ( ~ ( r3 @ SY84 @ SV5 @ SY81 )
| ~ ( r4 @ SV5 @ SV11 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(71,plain,
( ( ~ ! [SY85: $i] :
( ~ ( ~ ~ ( r1 @ SY85 )
| ~ ( ( SY85 != sK2_SX0 ) ) )
| ~ ( ~ ( r1 @ SY85 )
| ( SY85 != sK2_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(72,plain,
! [SV12: $i,SV6: $i] :
( ( ! [SY86: $i] :
( ! [SY67: $i] :
( ~ ( r2 @ SV6 @ SY67 )
| ( SY67 != SY86 ) )
| ~ ( r2 @ SV12 @ SY86 ) )
| ( SV6 = SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(73,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ! [SY88: $i] :
~ ! [SY89: $i] :
( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SY89 )
| ~ ( ( SY89 != SY88 ) ) )
| ~ ( ~ ( r4 @ SV7 @ SV13 @ SY89 )
| ( SY89 != SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(74,plain,
! [SV8: $i,SV14: $i] :
( ( ! [SY90: $i] :
( ~ ( r1 @ SY90 )
| ( SY90 != SV14 ) )
| ~ ( r2 @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(75,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ! [SY91: $i] :
~ ! [SY92: $i] :
( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SY92 )
| ~ ( ( SY92 != SY91 ) ) )
| ~ ( ~ ( r3 @ SV9 @ SV15 @ SY92 )
| ( SY92 != SY91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(76,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY93: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY94 ) )
| ( SY94 != SY93 ) )
| ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r2 @ SY96 @ SY93 )
| ~ ( r3 @ SV10 @ SV16 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(77,plain,
! [SV1: $i] :
( ( ~ ! [SY97: $i] :
( ~ ( ~ ~ ( r2 @ SV1 @ SY97 )
| ~ ( ( SY97
!= ( sK3_SY50 @ SV1 ) ) ) )
| ~ ( ~ ( r2 @ SV1 @ SY97 )
| ( SY97
!= ( sK3_SY50 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(78,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) )
| ( ( sK4_SY52 @ SV2 )
!= SV2 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[65]) ).
thf(79,plain,
( ( ! [SY99: $i] :
( ~ ( r1 @ SY99 )
| ~ ( r2 @ SY99 @ sK5_SX0 ) )
| ~ ( r2 @ sK5_SX0 @ sK1_Y1 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(80,plain,
( ( ( sK6_SX0 != sK1_Y1 )
| ~ ( r1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(81,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) )
| ~ ~ ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(82,plain,
! [SV4: $i] :
( ( ( ! [SY57: $i] :
~ ~ ( ~ ( r1 @ SY57 )
| ( SV4 != SY57 ) ) )
= $false )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(83,plain,
! [SV5: $i,SV11: $i] :
( ( ! [SY81: $i] :
~ ~ ( ~ ~ ! [SY82: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY82 ) )
| ( SY82 != SY81 ) )
| ~ ~ ! [SY84: $i] :
~ ~ ( ~ ( r3 @ SY84 @ SV5 @ SY81 )
| ~ ( r4 @ SV5 @ SV11 @ SY84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(84,plain,
( ( ! [SY85: $i] :
( ~ ( ~ ~ ( r1 @ SY85 )
| ~ ( ( SY85 != sK2_SX0 ) ) )
| ~ ( ~ ( r1 @ SY85 )
| ( SY85 != sK2_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV12: $i,SV6: $i] :
( ( ( ! [SY86: $i] :
( ! [SY67: $i] :
( ~ ( r2 @ SV6 @ SY67 )
| ( SY67 != SY86 ) )
| ~ ( r2 @ SV12 @ SY86 ) ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV13: $i,SV7: $i] :
( ( ! [SY88: $i] :
~ ! [SY89: $i] :
( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SY89 )
| ~ ( ( SY89 != SY88 ) ) )
| ~ ( ~ ( r4 @ SV7 @ SV13 @ SY89 )
| ( SY89 != SY88 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV8: $i,SV14: $i] :
( ( ( ! [SY90: $i] :
( ~ ( r1 @ SY90 )
| ( SY90 != SV14 ) ) )
= $true )
| ( ( ~ ( r2 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY91: $i] :
~ ! [SY92: $i] :
( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SY92 )
| ~ ( ( SY92 != SY91 ) ) )
| ~ ( ~ ( r3 @ SV9 @ SV15 @ SY92 )
| ( SY92 != SY91 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY93: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY94 ) )
| ( SY94 != SY93 ) )
| ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r2 @ SY96 @ SY93 )
| ~ ( r3 @ SV10 @ SV16 @ SY96 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV1: $i] :
( ( ! [SY97: $i] :
( ~ ( ~ ~ ( r2 @ SV1 @ SY97 )
| ~ ( ( SY97
!= ( sK3_SY50 @ SV1 ) ) ) )
| ~ ( ~ ( r2 @ SV1 @ SY97 )
| ( SY97
!= ( sK3_SY50 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(91,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) )
| ( ( sK4_SY52 @ SV2 )
!= SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(92,plain,
( ( ! [SY99: $i] :
( ~ ( r1 @ SY99 )
| ~ ( r2 @ SY99 @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(93,plain,
( ( ~ ( r2 @ sK5_SX0 @ sK1_Y1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(94,plain,
( ( sK6_SX0 != sK1_Y1 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(95,plain,
( ( ~ ( r1 @ sK6_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(96,plain,
! [SV3: $i] :
( ( ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) )
| ~ ~ ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( r1 @ ( sK8_SY57 @ SV4 ) )
| ( SV4
!= ( sK8_SY57 @ SV4 ) ) ) )
= $false )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(98,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) )
| ~ ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(99,plain,
! [SV17: $i] :
( ( ~ ( ~ ~ ( r1 @ SV17 )
| ~ ( ( SV17 != sK2_SX0 ) ) )
| ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV12: $i,SV18: $i,SV6: $i] :
( ( ( ! [SY105: $i] :
( ~ ( r2 @ SV6 @ SY105 )
| ( SY105 != SV18 ) )
| ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ! [SY106: $i] :
( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SY106 )
| ~ ( ( SY106
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
| ~ ( ~ ( r4 @ SV7 @ SV13 @ SY106 )
| ( SY106
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(102,plain,
! [SV8: $i,SV14: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 )
| ( SV19 != SV14 ) )
= $true )
| ( ( ~ ( r2 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ! [SY107: $i] :
( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SY107 )
| ~ ( ( SY107
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r3 @ SV9 @ SV15 @ SY107 )
| ( SY107
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(104,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(105,plain,
! [SV20: $i,SV1: $i] :
( ( ~ ( ~ ~ ( r2 @ SV1 @ SV20 )
| ~ ( ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
| ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV2: $i] :
( ( ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) )
| ( ( sK4_SY52 @ SV2 )
!= SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(107,plain,
( ( ~ ( r1 @ sK13_SY99 )
| ~ ( r2 @ sK13_SY99 @ sK5_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(108,plain,
( ( r2 @ sK5_SX0 @ sK1_Y1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(109,plain,
( ( sK6_SX0 = sK1_Y1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(110,plain,
( ( r1 @ sK6_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(111,plain,
! [SV3: $i] :
( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) )
| ~ ~ ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( r1 @ ( sK8_SY57 @ SV4 ) )
| ( SV4
!= ( sK8_SY57 @ SV4 ) ) ) )
= $true )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(113,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) )
| ~ ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(114,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ( r1 @ SV17 )
| ~ ( ( SV17 != sK2_SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV12: $i,SV18: $i,SV6: $i] :
( ( ( ! [SY105: $i] :
( ~ ( r2 @ SV6 @ SY105 )
| ( SY105 != SV18 ) ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV13: $i,SV7: $i] :
( ( ! [SY106: $i] :
( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SY106 )
| ~ ( ( SY106
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
| ~ ( ~ ( r4 @ SV7 @ SV13 @ SY106 )
| ( SY106
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(117,plain,
! [SV8: $i,SV14: $i,SV19: $i] :
( ( ( ~ ( r1 @ SV19 ) )
= $true )
| ( ( SV19 != SV14 )
= $true )
| ( ( ~ ( r2 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY107: $i] :
( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SY107 )
| ~ ( ( SY107
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r3 @ SV9 @ SV15 @ SY107 )
| ( SY107
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(119,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ~ ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(120,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( r2 @ SV1 @ SV20 )
| ~ ( ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(121,plain,
! [SV2: $i] :
( ( ~ ~ ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( sK4_SY52 @ SV2 )
!= SV2 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(123,plain,
( ( ~ ( r1 @ sK13_SY99 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(124,plain,
( ( ~ ( r2 @ sK13_SY99 @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(125,plain,
! [SV3: $i] :
( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV3: $i] :
( ( ~ ~ ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(127,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ ( sK8_SY57 @ SV4 ) )
| ( SV4
!= ( sK8_SY57 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(128,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) )
| ~ ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(129,plain,
! [SV17: $i] :
( ( ( ~ ~ ( r1 @ SV17 )
| ~ ( ( SV17 != sK2_SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV12: $i,SV18: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21 != SV18 ) )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ~ ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
| ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(132,plain,
! [SV8: $i,SV14: $i,SV19: $i] :
( ( ( r1 @ SV19 )
= $false )
| ( ( SV19 != SV14 )
= $true )
| ( ( ~ ( r2 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ~ ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(134,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(135,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ~ ( r2 @ SV1 @ SV20 )
| ~ ( ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(136,plain,
! [SV2: $i] :
( ( ~ ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(137,plain,
! [SV2: $i] :
( ( ( sK4_SY52 @ SV2 )
= SV2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(138,plain,
( ( r1 @ sK13_SY99 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(139,plain,
( ( r2 @ sK13_SY99 @ sK5_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV3: $i] :
( ( ~ ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV3: $i] :
( ( ~ ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(142,plain,
! [SV4: $i] :
( ( ( ~ ( r1 @ ( sK8_SY57 @ SV4 ) ) )
= $false )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV4: $i] :
( ( ( SV4
!= ( sK8_SY57 @ SV4 ) )
= $false )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(144,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(145,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(146,plain,
! [SV17: $i] :
( ( ( ~ ~ ( r1 @ SV17 ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(147,plain,
! [SV17: $i] :
( ( ( ~ ( ( SV17 != sK2_SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(148,plain,
! [SV12: $i,SV18: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 ) )
= $true )
| ( ( SV21 != SV18 )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(149,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ~ ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV8: $i,SV14: $i,SV19: $i] :
( ( ( SV19 = SV14 )
= $false )
| ( ( r1 @ SV19 )
= $false )
| ( ( ~ ( r2 @ SV8 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(151,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ~ ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(152,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(153,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ~ ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(154,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ~ ( r2 @ SV1 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(155,plain,
! [SV1: $i,SV20: $i] :
( ( ( ~ ( ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(156,plain,
! [SV2: $i] :
( ( ! [SY98: $i] :
~ ~ ( ~ ( r1 @ SY98 )
| ~ ( r3 @ SV2 @ SY98 @ ( sK4_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(157,plain,
! [SV3: $i] :
( ( ! [SY100: $i] :
~ ~ ( ~ ( r1 @ SY100 )
| ~ ( r4 @ SV3 @ SY100 @ ( sK7_SY54 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(158,plain,
! [SV3: $i] :
( ( ! [SY101: $i] :
~ ~ ( ~ ( r1 @ SY101 )
| ( ( sK7_SY54 @ SV3 )
!= SY101 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(159,plain,
! [SV4: $i] :
( ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(160,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true )
| ( ( ~ ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(161,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(162,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(163,plain,
! [SV17: $i] :
( ( ( ~ ( r1 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(164,plain,
! [SV17: $i] :
( ( ( SV17 != sK2_SX0 )
= $true )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(165,plain,
! [SV12: $i,SV18: $i,SV21: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV21 )
= $false )
| ( ( SV21 != SV18 )
= $true )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(166,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ~ ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(167,plain,
! [SV19: $i,SV14: $i,SV8: $i] :
( ( ( r2 @ SV8 @ SV14 )
= $false )
| ( ( r1 @ SV19 )
= $false )
| ( ( SV19 = SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(168,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ~ ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(169,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(170,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(171,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(172,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
!= ( sK3_SY50 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(173,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK14_SY98 @ SV2 ) )
| ~ ( r3 @ SV2 @ ( sK14_SY98 @ SV2 ) @ ( sK4_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[156]) ).
thf(174,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK15_SY100 @ SV3 ) )
| ~ ( r4 @ SV3 @ ( sK15_SY100 @ SV3 ) @ ( sK7_SY54 @ SV3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(175,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK16_SY101 @ SV3 ) )
| ( ( sK7_SY54 @ SV3 )
!= ( sK16_SY101 @ SV3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[158]) ).
thf(176,plain,
! [SV4: $i] :
( ( ( ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV4: $i] :
( ( ( ! [SY58: $i] :
~ ~ ! [SY59: $i] :
~ ~ ( ~ ( r2 @ SY58 @ SY59 )
| ( SV4 != SY59 ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(178,plain,
! [SV5: $i,SV11: $i] :
( ( ! [SY102: $i] :
~ ~ ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY83 )
| ~ ( r4 @ SV5 @ SY83 @ SY102 ) )
| ( SY102
!= ( sK9_SY81 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(179,plain,
! [SV11: $i,SV5: $i] :
( ( ! [SY104: $i] :
~ ~ ( ~ ( r3 @ SY104 @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ SY104 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(180,plain,
! [SV17: $i] :
( ( ( r1 @ SV17 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(181,plain,
! [SV17: $i] :
( ( ( SV17 = sK2_SX0 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(182,plain,
! [SV12: $i,SV6: $i,SV18: $i,SV21: $i] :
( ( ( SV21 = SV18 )
= $false )
| ( ( r2 @ SV6 @ SV21 )
= $false )
| ( ( ~ ( r2 @ SV12 @ SV18 ) )
= $true )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(183,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ~ ( r4 @ SV7 @ SV13 @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(184,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( ~ ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(185,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( r3 @ SV9 @ SV15 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(186,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( ~ ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(187,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY108: $i] :
~ ~ ( ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY95 )
| ~ ( r3 @ SV10 @ SY95 @ SY108 ) )
| ( SY108
!= ( sK12_SY93 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV16: $i,SV10: $i] :
( ( ! [SY110: $i] :
~ ~ ( ~ ( r2 @ SY110 @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ SY110 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(189,plain,
! [SV20: $i,SV1: $i] :
( ( ( r2 @ SV1 @ SV20 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(190,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(191,plain,
! [SV2: $i] :
( ( ~ ( ~ ( r1 @ ( sK14_SY98 @ SV2 ) )
| ~ ( r3 @ SV2 @ ( sK14_SY98 @ SV2 ) @ ( sK4_SY52 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(192,plain,
! [SV3: $i] :
( ( ~ ( ~ ( r1 @ ( sK15_SY100 @ SV3 ) )
| ~ ( r4 @ SV3 @ ( sK15_SY100 @ SV3 ) @ ( sK7_SY54 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(193,plain,
! [SV3: $i] :
( ( ~ ( ~ ( r1 @ ( sK16_SY101 @ SV3 ) )
| ( ( sK7_SY54 @ SV3 )
!= ( sK16_SY101 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(194,plain,
! [SV4: $i] :
( ( ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ SY111 )
| ( SV4 != SY111 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(195,plain,
! [SV4: $i] :
( ( ( ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ SY112 )
| ( SV4 != SY112 ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[177]) ).
thf(196,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) )
| ( ( sK19_SY102 @ SV5 @ SV11 )
!= ( sK9_SY81 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[178]) ).
thf(197,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ( ~ ( r3 @ ( sK20_SY104 @ SV11 @ SV5 ) @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ ( sK20_SY104 @ SV11 @ SV5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(198,plain,
! [SV17: $i] :
( ( ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) )
= $false )
| ( ( r1 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV17: $i] :
( ( ( ~ ( r1 @ SV17 )
| ( SV17 != sK2_SX0 ) )
= $false )
| ( ( SV17 = sK2_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV21: $i,SV6: $i,SV18: $i,SV12: $i] :
( ( ( r2 @ SV12 @ SV18 )
= $false )
| ( ( r2 @ SV6 @ SV21 )
= $false )
| ( ( SV21 = SV18 )
= $false )
| ( ( SV6 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ SV13 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(202,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(203,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV15 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(204,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(205,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) )
| ( ( sK21_SY108 @ SV10 @ SV16 )
!= ( sK12_SY93 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[187]) ).
thf(206,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ( r2 @ ( sK22_SY110 @ SV16 @ SV10 ) @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ ( sK22_SY110 @ SV16 @ SV10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(207,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) )
= $false )
| ( ( r2 @ SV1 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 )
| ( SV20
!= ( sK3_SY50 @ SV1 ) ) )
= $false )
| ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK14_SY98 @ SV2 ) )
| ~ ( r3 @ SV2 @ ( sK14_SY98 @ SV2 ) @ ( sK4_SY52 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV3: $i] :
( ( ~ ( r1 @ ( sK15_SY100 @ SV3 ) )
| ~ ( r4 @ SV3 @ ( sK15_SY100 @ SV3 ) @ ( sK7_SY54 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV3: $i] :
( ( ~ ( r1 @ ( sK16_SY101 @ SV3 ) )
| ( ( sK7_SY54 @ SV3 )
!= ( sK16_SY101 @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV4: $i] :
( ( ( ~ ! [SY111: $i] :
~ ~ ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ SY111 )
| ( SV4 != SY111 ) ) )
= $true )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(213,plain,
! [SV4: $i] :
( ( ( ~ ! [SY112: $i] :
~ ~ ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ SY112 )
| ( SV4 != SY112 ) ) )
= $true )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(214,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) )
| ( ( sK19_SY102 @ SV5 @ SV11 )
!= ( sK9_SY81 @ SV5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(215,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( ~ ( r3 @ ( sK20_SY104 @ SV11 @ SV5 ) @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ ( sK20_SY104 @ SV11 @ SV5 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(216,plain,
! [SV17: $i] :
( ( ( ~ ( r1 @ SV17 ) )
= $false )
| ( ( r1 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(217,plain,
! [SV17: $i] :
( ( ( SV17 != sK2_SX0 )
= $false )
| ( ( r1 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(218,plain,
! [SV17: $i] :
( ( ( ~ ( r1 @ SV17 ) )
= $false )
| ( ( SV17 = sK2_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(219,plain,
! [SV17: $i] :
( ( ( SV17 != sK2_SX0 )
= $false )
| ( ( SV17 = sK2_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(220,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(221,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(222,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(223,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(224,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ~ ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) )
| ( ( sK21_SY108 @ SV10 @ SV16 )
!= ( sK12_SY93 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(225,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( r2 @ ( sK22_SY110 @ SV16 @ SV10 ) @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ ( sK22_SY110 @ SV16 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(226,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 ) )
= $false )
| ( ( r2 @ SV1 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(227,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
!= ( sK3_SY50 @ SV1 ) )
= $false )
| ( ( r2 @ SV1 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(228,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( r2 @ SV1 @ SV20 ) )
= $false )
| ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(229,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
!= ( sK3_SY50 @ SV1 ) )
= $false )
| ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(230,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK14_SY98 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(231,plain,
! [SV2: $i] :
( ( ~ ( r3 @ SV2 @ ( sK14_SY98 @ SV2 ) @ ( sK4_SY52 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(232,plain,
! [SV3: $i] :
( ( ~ ( r1 @ ( sK15_SY100 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(233,plain,
! [SV3: $i] :
( ( ~ ( r4 @ SV3 @ ( sK15_SY100 @ SV3 ) @ ( sK7_SY54 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(234,plain,
! [SV3: $i] :
( ( ~ ( r1 @ ( sK16_SY101 @ SV3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(235,plain,
! [SV3: $i] :
( ( ( sK7_SY54 @ SV3 )
!= ( sK16_SY101 @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(236,plain,
! [SV4: $i] :
( ( ( ! [SY111: $i] :
~ ~ ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ SY111 )
| ( SV4 != SY111 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(237,plain,
! [SV4: $i] :
( ( ( ! [SY112: $i] :
~ ~ ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ SY112 )
| ( SV4 != SY112 ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(238,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) )
| ( ( sK19_SY102 @ SV5 @ SV11 )
!= ( sK9_SY81 @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(239,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( r3 @ ( sK20_SY104 @ SV11 @ SV5 ) @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ SV11 @ ( sK20_SY104 @ SV11 @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(240,plain,
! [SV17: $i] :
( ( ( r1 @ SV17 )
= $true )
| ( ( r1 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(241,plain,
! [SV17: $i] :
( ( ( SV17 = sK2_SX0 )
= $true )
| ( ( r1 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(242,plain,
! [SV17: $i] :
( ( ( r1 @ SV17 )
= $true )
| ( ( SV17 = sK2_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(243,plain,
! [SV17: $i] :
( ( ( SV17 = sK2_SX0 )
= $true )
| ( ( SV17 = sK2_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(244,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) )
= $false )
| ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(245,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ SV13 @ SV22 )
| ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) ) )
= $false )
| ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(246,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) )
= $false )
| ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(247,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV15 @ SV23 )
| ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) ) )
= $false )
| ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(248,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) )
| ( ( sK21_SY108 @ SV10 @ SV16 )
!= ( sK12_SY93 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(249,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ ( sK22_SY110 @ SV16 @ SV10 ) @ ( sK12_SY93 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ SV16 @ ( sK22_SY110 @ SV16 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(250,plain,
! [SV20: $i,SV1: $i] :
( ( ( r2 @ SV1 @ SV20 )
= $true )
| ( ( r2 @ SV1 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(251,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $true )
| ( ( r2 @ SV1 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(252,plain,
! [SV20: $i,SV1: $i] :
( ( ( r2 @ SV1 @ SV20 )
= $true )
| ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(253,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $true )
| ( ( SV20
= ( sK3_SY50 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(254,plain,
! [SV2: $i] :
( ( r1 @ ( sK14_SY98 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(255,plain,
! [SV2: $i] :
( ( r3 @ SV2 @ ( sK14_SY98 @ SV2 ) @ ( sK4_SY52 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(256,plain,
! [SV3: $i] :
( ( r1 @ ( sK15_SY100 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(257,plain,
! [SV3: $i] :
( ( r4 @ SV3 @ ( sK15_SY100 @ SV3 ) @ ( sK7_SY54 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(258,plain,
! [SV3: $i] :
( ( r1 @ ( sK16_SY101 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(259,plain,
! [SV3: $i] :
( ( ( sK7_SY54 @ SV3 )
= ( sK16_SY101 @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(260,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ ( sK23_SY111 @ SV4 ) )
| ( SV4
!= ( sK23_SY111 @ SV4 ) ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(261,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ ( sK24_SY112 @ SV4 ) )
| ( SV4
!= ( sK24_SY112 @ SV4 ) ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(262,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(263,plain,
! [SV11: $i,SV5: $i] :
( ( ( sK19_SY102 @ SV5 @ SV11 )
!= ( sK9_SY81 @ SV5 @ SV11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(264,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( r3 @ ( sK20_SY104 @ SV11 @ SV5 ) @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(265,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( r4 @ SV5 @ SV11 @ ( sK20_SY104 @ SV11 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(266,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ SV13 @ SV22 ) )
= $false )
| ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(267,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false )
| ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(268,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ SV13 @ SV22 ) )
= $false )
| ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(269,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
!= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false )
| ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(270,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV15 @ SV23 ) )
= $false )
| ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(271,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false )
| ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(272,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV15 @ SV23 ) )
= $false )
| ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(273,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
!= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false )
| ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(274,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(275,plain,
! [SV16: $i,SV10: $i] :
( ( ( sK21_SY108 @ SV10 @ SV16 )
!= ( sK12_SY93 @ SV10 @ SV16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(276,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ ( sK22_SY110 @ SV16 @ SV10 ) @ ( sK12_SY93 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(277,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ SV16 @ ( sK22_SY110 @ SV16 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(278,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ ( sK23_SY111 @ SV4 ) )
| ( SV4
!= ( sK23_SY111 @ SV4 ) ) ) )
= $true )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(279,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ ( sK24_SY112 @ SV4 ) )
| ( SV4
!= ( sK24_SY112 @ SV4 ) ) ) )
= $true )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(280,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(281,plain,
! [SV11: $i,SV5: $i] :
( ( ( sK19_SY102 @ SV5 @ SV11 )
= ( sK9_SY81 @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(282,plain,
! [SV5: $i,SV11: $i] :
( ( r3 @ ( sK20_SY104 @ SV11 @ SV5 ) @ SV5 @ ( sK9_SY81 @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(283,plain,
! [SV11: $i,SV5: $i] :
( ( r4 @ SV5 @ SV11 @ ( sK20_SY104 @ SV11 @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(284,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( r4 @ SV7 @ SV13 @ SV22 )
= $true )
| ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(285,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $true )
| ( ( r4 @ SV7 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(286,plain,
! [SV22: $i,SV13: $i,SV7: $i] :
( ( ( r4 @ SV7 @ SV13 @ SV22 )
= $true )
| ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(287,plain,
! [SV7: $i,SV13: $i,SV22: $i] :
( ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $true )
| ( ( SV22
= ( sK10_SY88 @ SV13 @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(288,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV15 @ SV23 )
= $true )
| ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(289,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $true )
| ( ( r3 @ SV9 @ SV15 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(290,plain,
! [SV23: $i,SV15: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV15 @ SV23 )
= $true )
| ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(291,plain,
! [SV9: $i,SV15: $i,SV23: $i] :
( ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $true )
| ( ( SV23
= ( sK11_SY91 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(292,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(293,plain,
! [SV16: $i,SV10: $i] :
( ( ( sK21_SY108 @ SV10 @ SV16 )
= ( sK12_SY93 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(294,plain,
! [SV10: $i,SV16: $i] :
( ( r2 @ ( sK22_SY110 @ SV16 @ SV10 ) @ ( sK12_SY93 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(295,plain,
! [SV16: $i,SV10: $i] :
( ( r3 @ SV10 @ SV16 @ ( sK22_SY110 @ SV16 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(296,plain,
! [SV4: $i] :
( ( ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ ( sK23_SY111 @ SV4 ) )
| ( SV4
!= ( sK23_SY111 @ SV4 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(297,plain,
! [SV4: $i] :
( ( ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ ( sK24_SY112 @ SV4 ) )
| ( SV4
!= ( sK24_SY112 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(298,plain,
! [SV5: $i,SV11: $i] :
( ( ! [SY113: $i] :
~ ~ ( ~ ( r2 @ SV11 @ SY113 )
| ~ ( r4 @ SV5 @ SY113 @ ( sK19_SY102 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(299,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY114: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY114 )
| ~ ( r3 @ SV10 @ SY114 @ ( sK21_SY108 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(300,plain,
! [SV4: $i] :
( ( ( ~ ( r2 @ ( sK17_SY58 @ SV4 ) @ ( sK23_SY111 @ SV4 ) ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(301,plain,
! [SV4: $i] :
( ( ( SV4
!= ( sK23_SY111 @ SV4 ) )
= $false )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(302,plain,
! [SV4: $i] :
( ( ( ~ ( r2 @ ( sK18_SY58 @ SV4 ) @ ( sK24_SY112 @ SV4 ) ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(303,plain,
! [SV4: $i] :
( ( ( SV4
!= ( sK24_SY112 @ SV4 ) )
= $false )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(304,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ~ ( ~ ( r2 @ SV11 @ ( sK25_SY113 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ ( sK25_SY113 @ SV5 @ SV11 ) @ ( sK19_SY102 @ SV5 @ SV11 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[298]) ).
thf(305,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ( r2 @ SV16 @ ( sK26_SY114 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ ( sK26_SY114 @ SV10 @ SV16 ) @ ( sK21_SY108 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[299]) ).
thf(306,plain,
! [SV4: $i] :
( ( ( r2 @ ( sK17_SY58 @ SV4 ) @ ( sK23_SY111 @ SV4 ) )
= $true )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(307,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK23_SY111 @ SV4 ) )
= $true )
| ( ( r1 @ ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(308,plain,
! [SV4: $i] :
( ( ( r2 @ ( sK18_SY58 @ SV4 ) @ ( sK24_SY112 @ SV4 ) )
= $true )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(309,plain,
! [SV4: $i] :
( ( ( SV4
= ( sK24_SY112 @ SV4 ) )
= $true )
| ( ( SV4
= ( sK8_SY57 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(310,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( ~ ( r2 @ SV11 @ ( sK25_SY113 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ ( sK25_SY113 @ SV5 @ SV11 ) @ ( sK19_SY102 @ SV5 @ SV11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(311,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( r2 @ SV16 @ ( sK26_SY114 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ ( sK26_SY114 @ SV10 @ SV16 ) @ ( sK21_SY108 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(312,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( r2 @ SV11 @ ( sK25_SY113 @ SV5 @ SV11 ) )
| ~ ( r4 @ SV5 @ ( sK25_SY113 @ SV5 @ SV11 ) @ ( sK19_SY102 @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(313,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ SV16 @ ( sK26_SY114 @ SV10 @ SV16 ) )
| ~ ( r3 @ SV10 @ ( sK26_SY114 @ SV10 @ SV16 ) @ ( sK21_SY108 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(314,plain,
! [SV5: $i,SV11: $i] :
( ( ~ ( r2 @ SV11 @ ( sK25_SY113 @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(315,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( r4 @ SV5 @ ( sK25_SY113 @ SV5 @ SV11 ) @ ( sK19_SY102 @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(316,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ SV16 @ ( sK26_SY114 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(317,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ ( sK26_SY114 @ SV10 @ SV16 ) @ ( sK21_SY108 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(318,plain,
! [SV5: $i,SV11: $i] :
( ( r2 @ SV11 @ ( sK25_SY113 @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(319,plain,
! [SV11: $i,SV5: $i] :
( ( r4 @ SV5 @ ( sK25_SY113 @ SV5 @ SV11 ) @ ( sK19_SY102 @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(320,plain,
! [SV10: $i,SV16: $i] :
( ( r2 @ SV16 @ ( sK26_SY114 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(321,plain,
! [SV16: $i,SV10: $i] :
( ( r3 @ SV10 @ ( sK26_SY114 @ SV10 @ SV16 ) @ ( sK21_SY108 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(322,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[108,321,320,319,318,309,308,307,306,295,294,293,291,290,289,288,287,286,285,284,283,282,281,259,258,257,256,255,254,253,252,251,250,243,242,241,240,200,167,139,138,137,110,109]) ).
thf(323,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN089+2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 13:48:32 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.27
% 0.52/0.27 No.of.Axioms: 11
% 0.52/0.27
% 0.52/0.27 Length.of.Defs: 0
% 0.52/0.27
% 0.52/0.27 Contains.Choice.Funs: false
% 0.52/0.27 .........
% 0.52/0.27
% 0.52/0.27 ********************************
% 0.52/0.27 * All subproblems solved! *
% 0.52/0.27 ********************************
% 0.52/0.27 % 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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:322,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.52/0.27
% 0.52/0.27 %**** Beginning of derivation protocol ****
% 0.52/0.27 % SZS output start CNFRefutation
% See solution above
% 0.52/0.27
% 0.52/0.27 %**** End of derivation protocol ****
% 0.52/0.27 %**** no. of clauses in derivation: 323 ****
% 0.52/0.27 %**** clause counter: 322 ****
% 0.52/0.27
% 0.52/0.27 % 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:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:322,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------