%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUN080+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:36:03 AM UTC 2026
% Result : Theorem 1.38s 0.44s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 12
% Syntax : Number of formulae : 340 ( 187 unt; 0 typ; 0 def)
% Number of atoms : 2090 ( 882 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 4555 (1825 ~; 637 |; 89 &;2004 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 3 con; 0-3 aty)
% Number of variables : 1046 ( 0 ^; 956 !; 90 ?;1046 :)
% 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_SY96,type,
sK10_SY96: $i > $i ).
thf(tp_sK11_SY97,type,
sK11_SY97: $i > $i ).
thf(tp_sK12_SY99,type,
sK12_SY99: $i > $i ).
thf(tp_sK13_SY56,type,
sK13_SY56: $i > $i ).
thf(tp_sK14_SY56,type,
sK14_SY56: $i > $i ).
thf(tp_sK15_SY107,type,
sK15_SY107: $i > $i > $i ).
thf(tp_sK16_SY109,type,
sK16_SY109: $i > $i > $i ).
thf(tp_sK17_SY111,type,
sK17_SY111: $i > $i > $i ).
thf(tp_sK18_SY113,type,
sK18_SY113: $i > $i > $i ).
thf(tp_sK19_SY121,type,
sK19_SY121: $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY122,type,
sK20_SY122: $i > $i ).
thf(tp_sK21_SY123,type,
sK21_SY123: $i > $i > $i ).
thf(tp_sK22_SY124,type,
sK22_SY124: $i > $i > $i ).
thf(tp_sK2_SY52,type,
sK2_SY52: $i > $i ).
thf(tp_sK3_SY63,type,
sK3_SY63: $i > $i ).
thf(tp_sK4_SY65,type,
sK4_SY65: $i > $i ).
thf(tp_sK5_SY80,type,
sK5_SY80: $i > $i > $i ).
thf(tp_sK6_SY55,type,
sK6_SY55: $i > $i ).
thf(tp_sK7_SY85,type,
sK7_SY85: $i > $i > $i ).
thf(tp_sK8_SY90,type,
sK8_SY90: $i > $i > $i ).
thf(tp_sK9_SY92,type,
sK9_SY92: $i > $i > $i ).
thf(1,axiom,
! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(11,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(12,conjecture,
? [Y1: $i,Y2: $i,Y3: $i] :
( ( Y3 = Y2 )
& ? [Y4: $i] :
( ( r3 @ Y1 @ Y4 @ Y3 )
& ? [Y5: $i] :
( ( r2 @ Y5 @ Y4 )
& ? [Y6: $i] :
( ( r1 @ Y6 )
& ( r2 @ Y6 @ Y5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xplustwoeqy) ).
thf(13,negated_conjecture,
( ( ? [Y1: $i,Y2: $i,Y3: $i] :
( ( Y3 = Y2 )
& ? [Y4: $i] :
( ( r3 @ Y1 @ Y4 @ Y3 )
& ? [Y5: $i] :
( ( r2 @ Y5 @ Y4 )
& ? [Y6: $i] :
( ( r1 @ Y6 )
& ( r2 @ Y6 @ Y5 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ? [Y1: $i,Y2: $i,Y3: $i] :
( ( Y3 = Y2 )
& ? [Y4: $i] :
( ( r3 @ Y1 @ Y4 @ Y3 )
& ? [Y5: $i] :
( ( r2 @ Y5 @ Y4 )
& ? [Y6: $i] :
( ( r1 @ Y6 )
& ( r2 @ Y6 @ 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] :
( ( Y3 = Y2 )
& ? [Y4: $i] :
( ( r3 @ Y1 @ Y4 @ Y3 )
& ? [Y5: $i] :
( ( r2 @ Y5 @ Y4 )
& ? [Y6: $i] :
( ( r1 @ Y6 )
& ( r2 @ Y6 @ Y5 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(28,plain,
( ( ! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(29,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(30,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(31,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(32,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(33,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(34,plain,
( ( ! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r1 @ Y16 )
& ( r3 @ X4 @ Y16 @ Y9 ) )
& ( Y9 = X4 ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(35,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(36,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(37,plain,
( ( ! [X7: $i,Y10: $i] :
( ! [Y20: $i] :
( ~ ( r1 @ Y20 )
| ( Y20 != Y10 ) )
| ~ ( r2 @ X7 @ Y10 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(38,plain,
( ( ~ ? [Y1: $i,Y2: $i,Y3: $i] :
( ( Y3 = Y2 )
& ? [Y4: $i] :
( ( r3 @ Y1 @ Y4 @ Y3 )
& ? [Y5: $i] :
( ( r2 @ Y5 @ Y4 )
& ? [Y6: $i] :
( ( r1 @ Y6 )
& ( r2 @ Y6 @ Y5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(39,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)],[29]) ).
thf(40,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)],[35]) ).
thf(41,plain,
( ( ! [SX0: $i] :
( ~ ! [SX1: $i] :
~ ~ ( ~ ( r1 @ SX1 )
| ( SX0 != SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r2 @ SX1 @ SX2 )
| ( SX0 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( r1 @ SX2 )
| ( SX2 != SX1 ) )
| ~ ( r2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(43,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)],[33]) ).
thf(44,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ! [SX2: $i] :
( ~ ( ~ ~ ( r2 @ SX0 @ SX2 )
| ~ ( ( SX2 != SX1 ) ) )
| ~ ( ~ ( r2 @ SX0 @ SX2 )
| ( SX2 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(45,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ~ ( r3 @ SX0 @ SX2 @ SX1 ) )
| ( SX1 != SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(46,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)],[31]) ).
thf(47,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ( SX2 != SX1 )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r3 @ SX0 @ SX3 @ SX2 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SX3 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(48,plain,
( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ~ ( r1 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) )
| ~ ( ~ ( r1 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(49,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)],[30]) ).
thf(50,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)],[32]) ).
thf(51,plain,
! [SV1: $i] :
( ( ! [SY49: $i] :
~ ! [SY50: $i] :
~ ! [SY51: $i] :
( ~ ( ~ ~ ( r3 @ SV1 @ SY49 @ SY51 )
| ~ ( ( SY51 != SY50 ) ) )
| ~ ( ~ ( r3 @ SV1 @ SY49 @ SY51 )
| ( SY51 != SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(52,plain,
! [SV2: $i] :
( ( ~ ! [SY52: $i] :
~ ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( r1 @ SY53 )
| ~ ( r4 @ SV2 @ SY53 @ SY52 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ( SY52 != SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(53,plain,
! [SV3: $i] :
( ( ~ ! [SY55: $i] :
~ ~ ( ~ ( r1 @ SY55 )
| ( SV3 != SY55 ) )
| ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(54,plain,
! [SV4: $i] :
( ( ! [SY58: $i] :
( ! [SX2: $i] :
( ~ ( r1 @ SX2 )
| ( SX2 != SY58 ) )
| ~ ( r2 @ SV4 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(55,plain,
! [SV5: $i] :
( ( ! [SY60: $i] :
( ! [SY61: $i] :
( ! [SY62: $i] :
( ~ ( r2 @ SV5 @ SY62 )
| ( SY62 != SY61 ) )
| ~ ( r2 @ SY60 @ SY61 ) )
| ( SV5 = SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(56,plain,
! [SV6: $i] :
( ( ~ ! [SY63: $i] :
~ ! [SY64: $i] :
( ~ ( ~ ~ ( r2 @ SV6 @ SY64 )
| ~ ( ( SY64 != SY63 ) ) )
| ~ ( ~ ( r2 @ SV6 @ SY64 )
| ( SY64 != SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(57,plain,
! [SV7: $i] :
( ( ~ ! [SY65: $i] :
~ ~ ( ~ ~ ! [SY66: $i] :
~ ~ ( ~ ( r1 @ SY66 )
| ~ ( r3 @ SV7 @ SY66 @ SY65 ) )
| ( SY65 != SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(58,plain,
! [SV8: $i] :
( ( ! [SY67: $i] :
~ ! [SY68: $i] :
~ ~ ( ~ ~ ! [SY69: $i] :
~ ~ ( ~ ~ ! [SY70: $i] :
~ ~ ( ~ ( r2 @ SY67 @ SY70 )
| ~ ( r3 @ SV8 @ SY70 @ SY69 ) )
| ( SY69 != SY68 ) )
| ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( r2 @ SY71 @ SY68 )
| ~ ( r3 @ SV8 @ SY67 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(59,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ( SX2 != SX1 )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r3 @ SX0 @ SX3 @ SX2 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SX3 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(60,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( ~ ~ ( r1 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) )
| ~ ( ~ ( r1 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(61,plain,
! [SV9: $i] :
( ( ! [SY72: $i] :
~ ! [SY73: $i] :
~ ! [SY74: $i] :
( ~ ( ~ ~ ( r4 @ SV9 @ SY72 @ SY74 )
| ~ ( ( SY74 != SY73 ) ) )
| ~ ( ~ ( r4 @ SV9 @ SY72 @ SY74 )
| ( SY74 != SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(62,plain,
! [SV10: $i] :
( ( ! [SY75: $i] :
~ ! [SY76: $i] :
~ ~ ( ~ ~ ! [SY77: $i] :
~ ~ ( ~ ~ ! [SY78: $i] :
~ ~ ( ~ ( r2 @ SY75 @ SY78 )
| ~ ( r4 @ SV10 @ SY78 @ SY77 ) )
| ( SY77 != SY76 ) )
| ~ ~ ! [SY79: $i] :
~ ~ ( ~ ( r3 @ SY79 @ SV10 @ SY76 )
| ~ ( r4 @ SV10 @ SY75 @ SY79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(63,plain,
! [SV11: $i,SV1: $i] :
( ( ~ ! [SY80: $i] :
~ ! [SY81: $i] :
( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SY81 )
| ~ ( ( SY81 != SY80 ) ) )
| ~ ( ~ ( r3 @ SV1 @ SV11 @ SY81 )
| ( SY81 != SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(64,plain,
! [SV2: $i] :
( ( ! [SY52: $i] :
~ ~ ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( r1 @ SY53 )
| ~ ( r4 @ SV2 @ SY53 @ SY52 ) )
| ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( r1 @ SX2 )
| ( SY52 != SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(65,plain,
! [SV3: $i] :
( ( ( ~ ! [SY55: $i] :
~ ~ ( ~ ( r1 @ SY55 )
| ( SV3 != SY55 ) ) )
= $true )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(66,plain,
! [SV4: $i,SV12: $i] :
( ( ! [SY82: $i] :
( ~ ( r1 @ SY82 )
| ( SY82 != SV12 ) )
| ~ ( r2 @ SV4 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(67,plain,
! [SV13: $i,SV5: $i] :
( ( ! [SY83: $i] :
( ! [SY62: $i] :
( ~ ( r2 @ SV5 @ SY62 )
| ( SY62 != SY83 ) )
| ~ ( r2 @ SV13 @ SY83 ) )
| ( SV5 = SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV6: $i] :
( ( ! [SY63: $i] :
~ ! [SY64: $i] :
( ~ ( ~ ~ ( r2 @ SV6 @ SY64 )
| ~ ( ( SY64 != SY63 ) ) )
| ~ ( ~ ( r2 @ SV6 @ SY64 )
| ( SY64 != SY63 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(69,plain,
! [SV7: $i] :
( ( ! [SY65: $i] :
~ ~ ( ~ ~ ! [SY66: $i] :
~ ~ ( ~ ( r1 @ SY66 )
| ~ ( r3 @ SV7 @ SY66 @ SY65 ) )
| ( SY65 != SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(70,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ! [SY85: $i] :
~ ~ ( ~ ~ ! [SY86: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY86 ) )
| ( SY86 != SY85 ) )
| ~ ~ ! [SY88: $i] :
~ ~ ( ~ ( r2 @ SY88 @ SY85 )
| ~ ( r3 @ SV8 @ SV14 @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(71,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ( SX2 != SX1 )
| ~ ~ ! [SX3: $i] :
~ ~ ( ~ ( r3 @ SX0 @ SX3 @ SX2 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SX3 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(72,plain,
( ( ~ ! [SY89: $i] :
( ~ ( ~ ~ ( r1 @ SY89 )
| ~ ( ( SY89 != sK1_SX0 ) ) )
| ~ ( ~ ( r1 @ SY89 )
| ( SY89 != sK1_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[60]) ).
thf(73,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ! [SY90: $i] :
~ ! [SY91: $i] :
( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SY91 )
| ~ ( ( SY91 != SY90 ) ) )
| ~ ( ~ ( r4 @ SV9 @ SV15 @ SY91 )
| ( SY91 != SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY92: $i] :
~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY93 ) )
| ( SY93 != SY92 ) )
| ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r3 @ SY95 @ SV10 @ SY92 )
| ~ ( r4 @ SV10 @ SV16 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV11: $i,SV1: $i] :
( ( ! [SY80: $i] :
~ ! [SY81: $i] :
( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SY81 )
| ~ ( ( SY81 != SY80 ) ) )
| ~ ( ~ ( r3 @ SV1 @ SV11 @ SY81 )
| ( SY81 != SY80 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(76,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) )
| ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(77,plain,
! [SV3: $i] :
( ( ( ! [SY55: $i] :
~ ~ ( ~ ( r1 @ SY55 )
| ( SV3 != SY55 ) ) )
= $false )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(78,plain,
! [SV4: $i,SV12: $i] :
( ( ( ! [SY82: $i] :
( ~ ( r1 @ SY82 )
| ( SY82 != SV12 ) ) )
= $true )
| ( ( ~ ( r2 @ SV4 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV13: $i,SV5: $i] :
( ( ( ! [SY83: $i] :
( ! [SY62: $i] :
( ~ ( r2 @ SV5 @ SY62 )
| ( SY62 != SY83 ) )
| ~ ( r2 @ SV13 @ SY83 ) ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV6: $i] :
( ( ~ ! [SY98: $i] :
( ~ ( ~ ~ ( r2 @ SV6 @ SY98 )
| ~ ( ( SY98
!= ( sK3_SY63 @ SV6 ) ) ) )
| ~ ( ~ ( r2 @ SV6 @ SY98 )
| ( SY98
!= ( sK3_SY63 @ SV6 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[68]) ).
thf(81,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) )
| ( ( sK4_SY65 @ SV7 )
!= SV7 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(82,plain,
! [SV8: $i,SV14: $i] :
( ( ! [SY85: $i] :
~ ~ ( ~ ~ ! [SY86: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY86 ) )
| ( SY86 != SY85 ) )
| ~ ~ ! [SY88: $i] :
~ ~ ( ~ ( r2 @ SY88 @ SY85 )
| ~ ( r3 @ SV8 @ SV14 @ SY88 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV17: $i] :
( ( ~ ~ ! [SY100: $i] :
~ ~ ! [SY101: $i] :
~ ~ ( ( SY101 != SY100 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY101 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(84,plain,
( ( ! [SY89: $i] :
( ~ ( ~ ~ ( r1 @ SY89 )
| ~ ( ( SY89 != sK1_SX0 ) ) )
| ~ ( ~ ( r1 @ SY89 )
| ( SY89 != sK1_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(85,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY90: $i] :
~ ! [SY91: $i] :
( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SY91 )
| ~ ( ( SY91 != SY90 ) ) )
| ~ ( ~ ( r4 @ SV9 @ SV15 @ SY91 )
| ( SY91 != SY90 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(86,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY92: $i] :
~ ~ ( ~ ~ ! [SY93: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY93 ) )
| ( SY93 != SY92 ) )
| ~ ~ ! [SY95: $i] :
~ ~ ( ~ ( r3 @ SY95 @ SV10 @ SY92 )
| ~ ( r4 @ SV10 @ SV16 @ SY95 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(87,plain,
! [SV11: $i,SV1: $i] :
( ( ~ ! [SY105: $i] :
( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SY105 )
| ~ ( ( SY105
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
| ~ ( ~ ( r3 @ SV1 @ SV11 @ SY105 )
| ( SY105
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(88,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) )
| ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(89,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( r1 @ ( sK6_SY55 @ SV3 ) )
| ( SV3
!= ( sK6_SY55 @ SV3 ) ) ) )
= $false )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(90,plain,
! [SV4: $i,SV12: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 )
| ( SV18 != SV12 ) )
= $true )
| ( ( ~ ( r2 @ SV4 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(91,plain,
! [SV13: $i,SV19: $i,SV5: $i] :
( ( ( ! [SY106: $i] :
( ~ ( r2 @ SV5 @ SY106 )
| ( SY106 != SV19 ) )
| ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV6: $i] :
( ( ! [SY98: $i] :
( ~ ( ~ ~ ( r2 @ SV6 @ SY98 )
| ~ ( ( SY98
!= ( sK3_SY63 @ SV6 ) ) ) )
| ~ ( ~ ( r2 @ SV6 @ SY98 )
| ( SY98
!= ( sK3_SY63 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(93,plain,
! [SV7: $i] :
( ( ~ ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) )
| ( ( sK4_SY65 @ SV7 )
!= SV7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(94,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) )
| ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[82]) ).
thf(95,plain,
! [SV17: $i] :
( ( ~ ! [SY100: $i] :
~ ~ ! [SY101: $i] :
~ ~ ( ( SY101 != SY100 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY101 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV20: $i] :
( ( ~ ( ~ ~ ( r1 @ SV20 )
| ~ ( ( SV20 != sK1_SX0 ) ) )
| ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ! [SY110: $i] :
( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SY110 )
| ~ ( ( SY110
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r4 @ SV9 @ SV15 @ SY110 )
| ( SY110
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(98,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[86]) ).
thf(99,plain,
! [SV11: $i,SV1: $i] :
( ( ! [SY105: $i] :
( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SY105 )
| ~ ( ( SY105
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
| ~ ( ~ ( r3 @ SV1 @ SV11 @ SY105 )
| ( SY105
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(100,plain,
! [SV2: $i] :
( ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) )
| ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( r1 @ ( sK6_SY55 @ SV3 ) )
| ( SV3
!= ( sK6_SY55 @ SV3 ) ) ) )
= $true )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(102,plain,
! [SV4: $i,SV12: $i,SV18: $i] :
( ( ( ~ ( r1 @ SV18 ) )
= $true )
| ( ( SV18 != SV12 )
= $true )
| ( ( ~ ( r2 @ SV4 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV13: $i,SV19: $i,SV5: $i] :
( ( ( ! [SY106: $i] :
( ~ ( r2 @ SV5 @ SY106 )
| ( SY106 != SV19 ) ) )
= $true )
| ( ( ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV21: $i,SV6: $i] :
( ( ~ ( ~ ~ ( r2 @ SV6 @ SV21 )
| ~ ( ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
| ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV7: $i] :
( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) )
| ( ( sK4_SY65 @ SV7 )
!= SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( ~ ~ ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) )
| ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV17: $i] :
( ( ! [SY100: $i] :
~ ~ ! [SY101: $i] :
~ ~ ( ( SY101 != SY100 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY101 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(108,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ~ ( r1 @ SV20 )
| ~ ( ( SV20 != sK1_SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY110: $i] :
( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SY110 )
| ~ ( ( SY110
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r4 @ SV9 @ SV15 @ SY110 )
| ( SY110
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(110,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(111,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ~ ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
| ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV2: $i] :
( ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(113,plain,
! [SV2: $i] :
( ( ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(114,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ ( sK6_SY55 @ SV3 ) )
| ( SV3
!= ( sK6_SY55 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV4: $i,SV12: $i,SV18: $i] :
( ( ( r1 @ SV18 )
= $false )
| ( ( SV18 != SV12 )
= $true )
| ( ( ~ ( r2 @ SV4 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV13: $i,SV19: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( r2 @ SV5 @ SV23 )
| ( SV23 != SV19 ) )
= $true )
| ( ( ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( ~ ~ ( r2 @ SV6 @ SV21 )
| ~ ( ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV7: $i] :
( ( ~ ~ ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(119,plain,
! [SV7: $i] :
( ( ( sK4_SY65 @ SV7 )
!= SV7 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(120,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) )
| ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV17: $i,SV24: $i] :
( ( ~ ~ ! [SY114: $i] :
~ ~ ( ( SY114 != SV24 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY114 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV20: $i] :
( ( ( ~ ~ ( r1 @ SV20 )
| ~ ( ( SV20 != sK1_SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(123,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ~ ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
| ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) )
| ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(125,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ~ ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(126,plain,
! [SV2: $i] :
( ( ~ ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(127,plain,
! [SV2: $i] :
( ( ~ ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(128,plain,
! [SV3: $i] :
( ( ( ~ ( r1 @ ( sK6_SY55 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(129,plain,
! [SV3: $i] :
( ( ( SV3
!= ( sK6_SY55 @ SV3 ) )
= $false )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(130,plain,
! [SV4: $i,SV12: $i,SV18: $i] :
( ( ( SV18 = SV12 )
= $false )
| ( ( r1 @ SV18 )
= $false )
| ( ( ~ ( r2 @ SV4 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV13: $i,SV19: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( r2 @ SV5 @ SV23 ) )
= $true )
| ( ( SV23 != SV19 )
= $true )
| ( ( ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(132,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV21 )
| ~ ( ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV7: $i] :
( ( ~ ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(134,plain,
! [SV7: $i] :
( ( ( sK4_SY65 @ SV7 )
= SV7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(135,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(136,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(137,plain,
! [SV17: $i,SV24: $i] :
( ( ~ ! [SY114: $i] :
~ ~ ( ( SY114 != SV24 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY114 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(138,plain,
! [SV20: $i] :
( ( ( ~ ~ ( r1 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(139,plain,
! [SV20: $i] :
( ( ( ~ ( ( SV20 != sK1_SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(140,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ~ ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(141,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(142,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ~ ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(143,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ~ ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(144,plain,
! [SV2: $i] :
( ( ! [SY96: $i] :
~ ~ ( ~ ( r1 @ SY96 )
| ~ ( r4 @ SV2 @ SY96 @ ( sK2_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(145,plain,
! [SV2: $i] :
( ( ! [SY97: $i] :
~ ~ ( ~ ( r1 @ SY97 )
| ( ( sK2_SY52 @ SV2 )
!= SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(146,plain,
! [SV3: $i] :
( ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(147,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true )
| ( ( ~ ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(148,plain,
! [SV18: $i,SV12: $i,SV4: $i] :
( ( ( r2 @ SV4 @ SV12 )
= $false )
| ( ( r1 @ SV18 )
= $false )
| ( ( SV18 = SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(149,plain,
! [SV13: $i,SV19: $i,SV23: $i,SV5: $i] :
( ( ( r2 @ SV5 @ SV23 )
= $false )
| ( ( SV23 != SV19 )
= $true )
| ( ( ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ~ ( r2 @ SV6 @ SV21 ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(151,plain,
! [SV6: $i,SV21: $i] :
( ( ( ~ ( ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(152,plain,
! [SV7: $i] :
( ( ! [SY99: $i] :
~ ~ ( ~ ( r1 @ SY99 )
| ~ ( r3 @ SV7 @ SY99 @ ( sK4_SY65 @ SV7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(153,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(154,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(155,plain,
! [SV17: $i,SV24: $i] :
( ( ! [SY114: $i] :
~ ~ ( ( SY114 != SV24 )
| ~ ~ ! [SY102: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY102 @ SY114 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY102 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(156,plain,
! [SV20: $i] :
( ( ( ~ ( r1 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(157,plain,
! [SV20: $i] :
( ( ( SV20 != sK1_SX0 )
= $true )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(158,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ~ ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(159,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(160,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(161,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ~ ( r3 @ SV1 @ SV11 @ SV22 ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(162,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( ~ ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(163,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK10_SY96 @ SV2 ) )
| ~ ( r4 @ SV2 @ ( sK10_SY96 @ SV2 ) @ ( sK2_SY52 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(164,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK11_SY97 @ SV2 ) )
| ( ( sK2_SY52 @ SV2 )
!= ( sK11_SY97 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(165,plain,
! [SV3: $i] :
( ( ( ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(166,plain,
! [SV3: $i] :
( ( ( ! [SY56: $i] :
~ ~ ! [SY57: $i] :
~ ~ ( ~ ( r2 @ SY56 @ SY57 )
| ( SV3 != SY57 ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(167,plain,
! [SV13: $i,SV5: $i,SV19: $i,SV23: $i] :
( ( ( SV23 = SV19 )
= $false )
| ( ( r2 @ SV5 @ SV23 )
= $false )
| ( ( ~ ( r2 @ SV13 @ SV19 ) )
= $true )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(168,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(169,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
!= ( sK3_SY63 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(170,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ( r1 @ ( sK12_SY99 @ SV7 ) )
| ~ ( r3 @ SV7 @ ( sK12_SY99 @ SV7 ) @ ( sK4_SY65 @ SV7 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(171,plain,
! [SV8: $i,SV14: $i] :
( ( ! [SY107: $i] :
~ ~ ( ~ ~ ! [SY87: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY87 )
| ~ ( r3 @ SV8 @ SY87 @ SY107 ) )
| ( SY107
!= ( sK7_SY85 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(172,plain,
! [SV14: $i,SV8: $i] :
( ( ! [SY109: $i] :
~ ~ ( ~ ( r2 @ SY109 @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ SY109 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(173,plain,
! [SV17: $i,SV24: $i,SV26: $i] :
( ( ~ ~ ( ( SV26 != SV24 )
| ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(174,plain,
! [SV20: $i] :
( ( ( r1 @ SV20 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(175,plain,
! [SV20: $i] :
( ( ( SV20 = sK1_SX0 )
= $false )
| ( ( ~ ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(176,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( r4 @ SV9 @ SV15 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(177,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(178,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY111: $i] :
~ ~ ( ~ ~ ! [SY94: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY94 )
| ~ ( r4 @ SV10 @ SY94 @ SY111 ) )
| ( SY111
!= ( sK9_SY92 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(179,plain,
! [SV16: $i,SV10: $i] :
( ( ! [SY113: $i] :
~ ~ ( ~ ( r3 @ SY113 @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ SY113 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(180,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ SV11 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(181,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(182,plain,
! [SV2: $i] :
( ( ~ ( ~ ( r1 @ ( sK10_SY96 @ SV2 ) )
| ~ ( r4 @ SV2 @ ( sK10_SY96 @ SV2 ) @ ( sK2_SY52 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(183,plain,
! [SV2: $i] :
( ( ~ ( ~ ( r1 @ ( sK11_SY97 @ SV2 ) )
| ( ( sK2_SY52 @ SV2 )
!= ( sK11_SY97 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(184,plain,
! [SV3: $i] :
( ( ( ~ ~ ! [SY121: $i] :
~ ~ ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ SY121 )
| ( SV3 != SY121 ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[165]) ).
thf(185,plain,
! [SV3: $i] :
( ( ( ~ ~ ! [SY122: $i] :
~ ~ ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ SY122 )
| ( SV3 != SY122 ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(186,plain,
! [SV23: $i,SV5: $i,SV19: $i,SV13: $i] :
( ( ( r2 @ SV13 @ SV19 )
= $false )
| ( ( r2 @ SV5 @ SV23 )
= $false )
| ( ( SV23 = SV19 )
= $false )
| ( ( SV5 = SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(187,plain,
! [SV21: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV21 )
= $false )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(188,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(189,plain,
! [SV7: $i] :
( ( ~ ( ~ ( r1 @ ( sK12_SY99 @ SV7 ) )
| ~ ( r3 @ SV7 @ ( sK12_SY99 @ SV7 ) @ ( sK4_SY65 @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(190,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) )
| ( ( sK15_SY107 @ SV8 @ SV14 )
!= ( sK7_SY85 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(191,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2 @ ( sK16_SY109 @ SV14 @ SV8 ) @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ ( sK16_SY109 @ SV14 @ SV8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[172]) ).
thf(192,plain,
! [SV17: $i,SV24: $i,SV26: $i] :
( ( ~ ( ( SV26 != SV24 )
| ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(193,plain,
! [SV20: $i] :
( ( ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) )
= $false )
| ( ( r1 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(194,plain,
! [SV20: $i] :
( ( ( ~ ( r1 @ SV20 )
| ( SV20 != sK1_SX0 ) )
= $false )
| ( ( SV20 = sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(195,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ SV15 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(196,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) )
= $true )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(197,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) )
| ( ( sK17_SY111 @ SV10 @ SV16 )
!= ( sK9_SY92 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[178]) ).
thf(198,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ( r3 @ ( sK18_SY113 @ SV16 @ SV10 ) @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ ( sK18_SY113 @ SV16 @ SV10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[179]) ).
thf(199,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(200,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(201,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK10_SY96 @ SV2 ) )
| ~ ( r4 @ SV2 @ ( sK10_SY96 @ SV2 ) @ ( sK2_SY52 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(202,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK11_SY97 @ SV2 ) )
| ( ( sK2_SY52 @ SV2 )
!= ( sK11_SY97 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(203,plain,
! [SV3: $i] :
( ( ( ~ ! [SY121: $i] :
~ ~ ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ SY121 )
| ( SV3 != SY121 ) ) )
= $true )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(204,plain,
! [SV3: $i] :
( ( ( ~ ! [SY122: $i] :
~ ~ ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ SY122 )
| ( SV3 != SY122 ) ) )
= $true )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(205,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) )
= $false )
| ( ( r2 @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 )
| ( SV21
!= ( sK3_SY63 @ SV6 ) ) )
= $false )
| ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV7: $i] :
( ( ~ ( r1 @ ( sK12_SY99 @ SV7 ) )
| ~ ( r3 @ SV7 @ ( sK12_SY99 @ SV7 ) @ ( sK4_SY65 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( ~ ~ ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) )
| ( ( sK15_SY107 @ SV8 @ SV14 )
!= ( sK7_SY85 @ SV8 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(209,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( ~ ( r2 @ ( sK16_SY109 @ SV14 @ SV8 ) @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ ( sK16_SY109 @ SV14 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(210,plain,
! [SV17: $i,SV24: $i,SV26: $i] :
( ( ( SV26 != SV24 )
| ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(211,plain,
! [SV20: $i] :
( ( ( ~ ( r1 @ SV20 ) )
= $false )
| ( ( r1 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(212,plain,
! [SV20: $i] :
( ( ( SV20 != sK1_SX0 )
= $false )
| ( ( r1 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(213,plain,
! [SV20: $i] :
( ( ( ~ ( r1 @ SV20 ) )
= $false )
| ( ( SV20 = sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(214,plain,
! [SV20: $i] :
( ( ( SV20 != sK1_SX0 )
= $false )
| ( ( SV20 = sK1_SX0 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(215,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(216,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(217,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ~ ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) )
| ( ( sK17_SY111 @ SV10 @ SV16 )
!= ( sK9_SY92 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(218,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( r3 @ ( sK18_SY113 @ SV16 @ SV10 ) @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ ( sK18_SY113 @ SV16 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(219,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) )
= $false )
| ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(220,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ SV11 @ SV22 )
| ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) ) )
= $false )
| ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(221,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK10_SY96 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(222,plain,
! [SV2: $i] :
( ( ~ ( r4 @ SV2 @ ( sK10_SY96 @ SV2 ) @ ( sK2_SY52 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(223,plain,
! [SV2: $i] :
( ( ~ ( r1 @ ( sK11_SY97 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(224,plain,
! [SV2: $i] :
( ( ( sK2_SY52 @ SV2 )
!= ( sK11_SY97 @ SV2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(225,plain,
! [SV3: $i] :
( ( ( ! [SY121: $i] :
~ ~ ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ SY121 )
| ( SV3 != SY121 ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(226,plain,
! [SV3: $i] :
( ( ( ! [SY122: $i] :
~ ~ ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ SY122 )
| ( SV3 != SY122 ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(227,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 ) )
= $false )
| ( ( r2 @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(228,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
!= ( sK3_SY63 @ SV6 ) )
= $false )
| ( ( r2 @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(229,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( r2 @ SV6 @ SV21 ) )
= $false )
| ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(230,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
!= ( sK3_SY63 @ SV6 ) )
= $false )
| ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(231,plain,
! [SV7: $i] :
( ( ~ ( r1 @ ( sK12_SY99 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(232,plain,
! [SV7: $i] :
( ( ~ ( r3 @ SV7 @ ( sK12_SY99 @ SV7 ) @ ( sK4_SY65 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(233,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) )
| ( ( sK15_SY107 @ SV8 @ SV14 )
!= ( sK7_SY85 @ SV8 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(234,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( r2 @ ( sK16_SY109 @ SV14 @ SV8 ) @ ( sK7_SY85 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ SV14 @ ( sK16_SY109 @ SV14 @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(235,plain,
! [SV17: $i,SV24: $i,SV26: $i] :
( ( ( SV26 != SV24 )
= $true )
| ( ( ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(236,plain,
! [SV20: $i] :
( ( ( r1 @ SV20 )
= $true )
| ( ( r1 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(237,plain,
! [SV20: $i] :
( ( ( SV20 = sK1_SX0 )
= $true )
| ( ( r1 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(238,plain,
! [SV20: $i] :
( ( ( r1 @ SV20 )
= $true )
| ( ( SV20 = sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(239,plain,
! [SV20: $i] :
( ( ( SV20 = sK1_SX0 )
= $true )
| ( ( SV20 = sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(240,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) )
= $false )
| ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(241,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ SV15 @ SV25 )
| ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) ) )
= $false )
| ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(242,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) )
| ( ( sK17_SY111 @ SV10 @ SV16 )
!= ( sK9_SY92 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(243,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r3 @ ( sK18_SY113 @ SV16 @ SV10 ) @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ SV16 @ ( sK18_SY113 @ SV16 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(244,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ SV11 @ SV22 ) )
= $false )
| ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(245,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false )
| ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(246,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ SV11 @ SV22 ) )
= $false )
| ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(247,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
!= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false )
| ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(248,plain,
! [SV2: $i] :
( ( r1 @ ( sK10_SY96 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(249,plain,
! [SV2: $i] :
( ( r4 @ SV2 @ ( sK10_SY96 @ SV2 ) @ ( sK2_SY52 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(250,plain,
! [SV2: $i] :
( ( r1 @ ( sK11_SY97 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(251,plain,
! [SV2: $i] :
( ( ( sK2_SY52 @ SV2 )
= ( sK11_SY97 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(252,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ ( sK19_SY121 @ SV3 ) )
| ( SV3
!= ( sK19_SY121 @ SV3 ) ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(253,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ ( sK20_SY122 @ SV3 ) )
| ( SV3
!= ( sK20_SY122 @ SV3 ) ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[226]) ).
thf(254,plain,
! [SV21: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV21 )
= $true )
| ( ( r2 @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(255,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $true )
| ( ( r2 @ SV6 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(256,plain,
! [SV21: $i,SV6: $i] :
( ( ( r2 @ SV6 @ SV21 )
= $true )
| ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(257,plain,
! [SV6: $i,SV21: $i] :
( ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $true )
| ( ( SV21
= ( sK3_SY63 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(258,plain,
! [SV7: $i] :
( ( r1 @ ( sK12_SY99 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(259,plain,
! [SV7: $i] :
( ( r3 @ SV7 @ ( sK12_SY99 @ SV7 ) @ ( sK4_SY65 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(260,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(261,plain,
! [SV14: $i,SV8: $i] :
( ( ( sK15_SY107 @ SV8 @ SV14 )
!= ( sK7_SY85 @ SV8 @ SV14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(262,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( r2 @ ( sK16_SY109 @ SV14 @ SV8 ) @ ( sK7_SY85 @ SV8 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(263,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ( r3 @ SV8 @ SV14 @ ( sK16_SY109 @ SV14 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(264,plain,
! [SV17: $i,SV24: $i,SV26: $i] :
( ( ( SV26 = SV24 )
= $false )
| ( ( ~ ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(265,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ SV15 @ SV25 ) )
= $false )
| ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(266,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false )
| ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(267,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ SV15 @ SV25 ) )
= $false )
| ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(268,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
!= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false )
| ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(269,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(270,plain,
! [SV16: $i,SV10: $i] :
( ( ( sK17_SY111 @ SV10 @ SV16 )
!= ( sK9_SY92 @ SV10 @ SV16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(271,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r3 @ ( sK18_SY113 @ SV16 @ SV10 ) @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(272,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( r4 @ SV10 @ SV16 @ ( sK18_SY113 @ SV16 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(273,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( r3 @ SV1 @ SV11 @ SV22 )
= $true )
| ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(274,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $true )
| ( ( r3 @ SV1 @ SV11 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(275,plain,
! [SV22: $i,SV11: $i,SV1: $i] :
( ( ( r3 @ SV1 @ SV11 @ SV22 )
= $true )
| ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(276,plain,
! [SV1: $i,SV11: $i,SV22: $i] :
( ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $true )
| ( ( SV22
= ( sK5_SY80 @ SV11 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(277,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ ( sK19_SY121 @ SV3 ) )
| ( SV3
!= ( sK19_SY121 @ SV3 ) ) ) )
= $true )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(278,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ ( sK20_SY122 @ SV3 ) )
| ( SV3
!= ( sK20_SY122 @ SV3 ) ) ) )
= $true )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(279,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(280,plain,
! [SV14: $i,SV8: $i] :
( ( ( sK15_SY107 @ SV8 @ SV14 )
= ( sK7_SY85 @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(281,plain,
! [SV8: $i,SV14: $i] :
( ( r2 @ ( sK16_SY109 @ SV14 @ SV8 ) @ ( sK7_SY85 @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(282,plain,
! [SV14: $i,SV8: $i] :
( ( r3 @ SV8 @ SV14 @ ( sK16_SY109 @ SV14 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(283,plain,
! [SV24: $i,SV26: $i,SV17: $i] :
( ( ( ~ ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(284,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( r4 @ SV9 @ SV15 @ SV25 )
= $true )
| ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(285,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $true )
| ( ( r4 @ SV9 @ SV15 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(286,plain,
! [SV25: $i,SV15: $i,SV9: $i] :
( ( ( r4 @ SV9 @ SV15 @ SV25 )
= $true )
| ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(287,plain,
! [SV9: $i,SV15: $i,SV25: $i] :
( ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $true )
| ( ( SV25
= ( sK8_SY90 @ SV15 @ SV9 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(288,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(289,plain,
! [SV16: $i,SV10: $i] :
( ( ( sK17_SY111 @ SV10 @ SV16 )
= ( sK9_SY92 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(290,plain,
! [SV10: $i,SV16: $i] :
( ( r3 @ ( sK18_SY113 @ SV16 @ SV10 ) @ SV10 @ ( sK9_SY92 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(291,plain,
! [SV16: $i,SV10: $i] :
( ( r4 @ SV10 @ SV16 @ ( sK18_SY113 @ SV16 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(292,plain,
! [SV3: $i] :
( ( ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ ( sK19_SY121 @ SV3 ) )
| ( SV3
!= ( sK19_SY121 @ SV3 ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(293,plain,
! [SV3: $i] :
( ( ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ ( sK20_SY122 @ SV3 ) )
| ( SV3
!= ( sK20_SY122 @ SV3 ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(294,plain,
! [SV8: $i,SV14: $i] :
( ( ! [SY123: $i] :
~ ~ ( ~ ( r2 @ SV14 @ SY123 )
| ~ ( r3 @ SV8 @ SY123 @ ( sK15_SY107 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(295,plain,
! [SV24: $i,SV26: $i,SV17: $i] :
( ( ( ! [SY118: $i] :
~ ~ ( ~ ( r3 @ SV17 @ SY118 @ SV26 )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( r2 @ SX4 @ SY118 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SX4 ) ) ) ) )
= $true )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(296,plain,
! [SV10: $i,SV16: $i] :
( ( ! [SY124: $i] :
~ ~ ( ~ ( r2 @ SV16 @ SY124 )
| ~ ( r4 @ SV10 @ SY124 @ ( sK17_SY111 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(297,plain,
! [SV3: $i] :
( ( ( ~ ( r2 @ ( sK13_SY56 @ SV3 ) @ ( sK19_SY121 @ SV3 ) ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(298,plain,
! [SV3: $i] :
( ( ( SV3
!= ( sK19_SY121 @ SV3 ) )
= $false )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(299,plain,
! [SV3: $i] :
( ( ( ~ ( r2 @ ( sK14_SY56 @ SV3 ) @ ( sK20_SY122 @ SV3 ) ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(300,plain,
! [SV3: $i] :
( ( ( SV3
!= ( sK20_SY122 @ SV3 ) )
= $false )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(301,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ~ ( ~ ( r2 @ SV14 @ ( sK21_SY123 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ ( sK21_SY123 @ SV8 @ SV14 ) @ ( sK15_SY107 @ SV8 @ SV14 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(302,plain,
! [SV24: $i,SV26: $i,SV27: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( r3 @ SV17 @ SV27 @ SV26 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) ) )
= $true )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ~ ( ~ ( r2 @ SV16 @ ( sK22_SY124 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ ( sK22_SY124 @ SV10 @ SV16 ) @ ( sK17_SY111 @ SV10 @ SV16 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[296]) ).
thf(304,plain,
! [SV3: $i] :
( ( ( r2 @ ( sK13_SY56 @ SV3 ) @ ( sK19_SY121 @ SV3 ) )
= $true )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(305,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK19_SY121 @ SV3 ) )
= $true )
| ( ( r1 @ ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(306,plain,
! [SV3: $i] :
( ( ( r2 @ ( sK14_SY56 @ SV3 ) @ ( sK20_SY122 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(307,plain,
! [SV3: $i] :
( ( ( SV3
= ( sK20_SY122 @ SV3 ) )
= $true )
| ( ( SV3
= ( sK6_SY55 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(308,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( ~ ( r2 @ SV14 @ ( sK21_SY123 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ ( sK21_SY123 @ SV8 @ SV14 ) @ ( sK15_SY107 @ SV8 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(309,plain,
! [SV24: $i,SV26: $i,SV27: $i,SV17: $i] :
( ( ( ~ ( ~ ( r3 @ SV17 @ SV27 @ SV26 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) ) )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(310,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( ~ ( r2 @ SV16 @ ( sK22_SY124 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ ( sK22_SY124 @ SV10 @ SV16 ) @ ( sK17_SY111 @ SV10 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(311,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( r2 @ SV14 @ ( sK21_SY123 @ SV8 @ SV14 ) )
| ~ ( r3 @ SV8 @ ( sK21_SY123 @ SV8 @ SV14 ) @ ( sK15_SY107 @ SV8 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(312,plain,
! [SV24: $i,SV26: $i,SV27: $i,SV17: $i] :
( ( ( ~ ( r3 @ SV17 @ SV27 @ SV26 )
| ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) )
= $true )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(313,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ SV16 @ ( sK22_SY124 @ SV10 @ SV16 ) )
| ~ ( r4 @ SV10 @ ( sK22_SY124 @ SV10 @ SV16 ) @ ( sK17_SY111 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(314,plain,
! [SV8: $i,SV14: $i] :
( ( ~ ( r2 @ SV14 @ ( sK21_SY123 @ SV8 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(315,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ( r3 @ SV8 @ ( sK21_SY123 @ SV8 @ SV14 ) @ ( sK15_SY107 @ SV8 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(316,plain,
! [SV24: $i,SV26: $i,SV27: $i,SV17: $i] :
( ( ( ~ ( r3 @ SV17 @ SV27 @ SV26 ) )
= $true )
| ( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) )
= $true )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(317,plain,
! [SV10: $i,SV16: $i] :
( ( ~ ( r2 @ SV16 @ ( sK22_SY124 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(318,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( r4 @ SV10 @ ( sK22_SY124 @ SV10 @ SV16 ) @ ( sK17_SY111 @ SV10 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(319,plain,
! [SV8: $i,SV14: $i] :
( ( r2 @ SV14 @ ( sK21_SY123 @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(320,plain,
! [SV14: $i,SV8: $i] :
( ( r3 @ SV8 @ ( sK21_SY123 @ SV8 @ SV14 ) @ ( sK15_SY107 @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(321,plain,
! [SV24: $i,SV26: $i,SV27: $i,SV17: $i] :
( ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( ~ ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) )
= $true )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(322,plain,
! [SV10: $i,SV16: $i] :
( ( r2 @ SV16 @ ( sK22_SY124 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(323,plain,
! [SV16: $i,SV10: $i] :
( ( r4 @ SV10 @ ( sK22_SY124 @ SV10 @ SV16 ) @ ( sK17_SY111 @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(324,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i] :
( ( ( ~ ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(325,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i] :
( ( ( ! [SY125: $i] :
~ ~ ( ~ ( r2 @ SY125 @ SV27 )
| ~ ~ ! [SX5: $i] :
~ ~ ( ~ ( r1 @ SX5 )
| ~ ( r2 @ SX5 @ SY125 ) ) ) )
= $true )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(326,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( r2 @ SV28 @ SV27 )
| ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) ) )
= $true )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(327,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ~ ( ~ ( r2 @ SV28 @ SV27 )
| ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) ) )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(328,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ~ ( r2 @ SV28 @ SV27 )
| ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) )
= $true )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(329,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ~ ( r2 @ SV28 @ SV27 ) )
= $true )
| ( ( ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) )
= $true )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(330,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( ~ ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) )
= $true )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(331,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ~ ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) )
= $false )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(332,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i] :
( ( ( ! [SY127: $i] :
~ ~ ( ~ ( r1 @ SY127 )
| ~ ( r2 @ SY127 @ SV28 ) ) )
= $true )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(333,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( r1 @ SV29 )
| ~ ( r2 @ SV29 @ SV28 ) ) )
= $true )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(334,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( ~ ( ~ ( r1 @ SV29 )
| ~ ( r2 @ SV29 @ SV28 ) ) )
= $false )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(335,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 )
| ~ ( r2 @ SV29 @ SV28 ) )
= $true )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(336,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 ) )
= $true )
| ( ( ~ ( r2 @ SV29 @ SV28 ) )
= $true )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(337,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( r1 @ SV29 )
= $false )
| ( ( ~ ( r2 @ SV29 @ SV28 ) )
= $true )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(338,plain,
! [SV24: $i,SV26: $i,SV17: $i,SV27: $i,SV28: $i,SV29: $i] :
( ( ( r2 @ SV29 @ SV28 )
= $false )
| ( ( r1 @ SV29 )
= $false )
| ( ( r2 @ SV28 @ SV27 )
= $false )
| ( ( r3 @ SV17 @ SV27 @ SV26 )
= $false )
| ( ( SV26 = SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(339,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[134,338,323,322,320,319,307,306,305,304,291,290,289,287,286,285,284,282,281,280,276,275,274,273,259,258,257,256,255,254,251,250,249,248,239,238,237,236,186,148]) ).
thf(340,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN080+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n019.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 13:47:31 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/0.44
% 1.38/0.44 No.of.Axioms: 11
% 1.38/0.44
% 1.38/0.44 Length.of.Defs: 0
% 1.38/0.44
% 1.38/0.44 Contains.Choice.Funs: false
% 1.38/0.44 ..........
% 1.38/0.44
% 1.38/0.44 ********************************
% 1.38/0.44 * All subproblems solved! *
% 1.38/0.44 ********************************
% 1.38/0.44 % SZS status Theorem for /export/starexec/sandbox/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:339,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.38/0.44
% 1.38/0.44 %**** Beginning of derivation protocol ****
% 1.38/0.44 % SZS output start CNFRefutation
% See solution above
% 1.38/0.44
% 1.38/0.44 %**** End of derivation protocol ****
% 1.38/0.44 %**** no. of clauses in derivation: 340 ****
% 1.38/0.44 %**** clause counter: 339 ****
% 1.38/0.44
% 1.38/0.44 % SZS status Theorem for /export/starexec/sandbox/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:339,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------