TSTP Solution File: SYN457-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN457-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:28:50 EDT 2023
% Result : Unsatisfiable 12.96s 3.34s
% Output : Refutation 13.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 521
% Syntax : Number of formulae : 886 ( 1 unt; 157 typ; 0 def)
% Number of atoms : 2037 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 3538 (1240 ~;1308 |; 0 &; 990 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 158 ( 157 usr; 154 con; 0-1 aty)
% Number of variables : 178 ( 0 ^; 178 !; 0 ?; 178 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp75_type,type,
hskp75: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(hskp74_type,type,
hskp74: $o ).
thf(hskp73_type,type,
hskp73: $o ).
thf(hskp72_type,type,
hskp72: $o ).
thf(hskp71_type,type,
hskp71: $o ).
thf(hskp70_type,type,
hskp70: $o ).
thf(hskp69_type,type,
hskp69: $o ).
thf(hskp68_type,type,
hskp68: $o ).
thf(hskp67_type,type,
hskp67: $o ).
thf(hskp66_type,type,
hskp66: $o ).
thf(hskp65_type,type,
hskp65: $o ).
thf(hskp64_type,type,
hskp64: $o ).
thf(hskp63_type,type,
hskp63: $o ).
thf(hskp62_type,type,
hskp62: $o ).
thf(hskp61_type,type,
hskp61: $o ).
thf(hskp60_type,type,
hskp60: $o ).
thf(hskp59_type,type,
hskp59: $o ).
thf(hskp58_type,type,
hskp58: $o ).
thf(hskp57_type,type,
hskp57: $o ).
thf(hskp56_type,type,
hskp56: $o ).
thf(hskp55_type,type,
hskp55: $o ).
thf(hskp54_type,type,
hskp54: $o ).
thf(hskp53_type,type,
hskp53: $o ).
thf(hskp52_type,type,
hskp52: $o ).
thf(hskp51_type,type,
hskp51: $o ).
thf(hskp50_type,type,
hskp50: $o ).
thf(hskp49_type,type,
hskp49: $o ).
thf(hskp48_type,type,
hskp48: $o ).
thf(hskp47_type,type,
hskp47: $o ).
thf(hskp46_type,type,
hskp46: $o ).
thf(hskp45_type,type,
hskp45: $o ).
thf(hskp44_type,type,
hskp44: $o ).
thf(hskp43_type,type,
hskp43: $o ).
thf(hskp42_type,type,
hskp42: $o ).
thf(hskp41_type,type,
hskp41: $o ).
thf(hskp40_type,type,
hskp40: $o ).
thf(hskp39_type,type,
hskp39: $o ).
thf(hskp38_type,type,
hskp38: $o ).
thf(hskp37_type,type,
hskp37: $o ).
thf(hskp36_type,type,
hskp36: $o ).
thf(hskp35_type,type,
hskp35: $o ).
thf(hskp34_type,type,
hskp34: $o ).
thf(hskp33_type,type,
hskp33: $o ).
thf(hskp32_type,type,
hskp32: $o ).
thf(hskp31_type,type,
hskp31: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(hskp25_type,type,
hskp25: $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(hskp23_type,type,
hskp23: $o ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(hskp20_type,type,
hskp20: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(hskp18_type,type,
hskp18: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(hskp15_type,type,
hskp15: $o ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(hskp10_type,type,
hskp10: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp5_type,type,
hskp5: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(hskp3_type,type,
hskp3: $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp0_type,type,
hskp0: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a1724_type,type,
a1724: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a1717_type,type,
a1717: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a1716_type,type,
a1716: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a1715_type,type,
a1715: $i ).
thf(a1713_type,type,
a1713: $i ).
thf(a1710_type,type,
a1710: $i ).
thf(a1709_type,type,
a1709: $i ).
thf(a1707_type,type,
a1707: $i ).
thf(a1702_type,type,
a1702: $i ).
thf(a1692_type,type,
a1692: $i ).
thf(a1687_type,type,
a1687: $i ).
thf(a1686_type,type,
a1686: $i ).
thf(a1676_type,type,
a1676: $i ).
thf(a1675_type,type,
a1675: $i ).
thf(a1674_type,type,
a1674: $i ).
thf(a1673_type,type,
a1673: $i ).
thf(a1669_type,type,
a1669: $i ).
thf(a1668_type,type,
a1668: $i ).
thf(a1665_type,type,
a1665: $i ).
thf(a1662_type,type,
a1662: $i ).
thf(a1661_type,type,
a1661: $i ).
thf(a1658_type,type,
a1658: $i ).
thf(a1656_type,type,
a1656: $i ).
thf(a1654_type,type,
a1654: $i ).
thf(a1653_type,type,
a1653: $i ).
thf(a1652_type,type,
a1652: $i ).
thf(a1651_type,type,
a1651: $i ).
thf(a1649_type,type,
a1649: $i ).
thf(a1644_type,type,
a1644: $i ).
thf(a1642_type,type,
a1642: $i ).
thf(a1641_type,type,
a1641: $i ).
thf(a1640_type,type,
a1640: $i ).
thf(a1639_type,type,
a1639: $i ).
thf(a1638_type,type,
a1638: $i ).
thf(a1726_type,type,
a1726: $i ).
thf(a1725_type,type,
a1725: $i ).
thf(a1721_type,type,
a1721: $i ).
thf(a1718_type,type,
a1718: $i ).
thf(a1714_type,type,
a1714: $i ).
thf(a1705_type,type,
a1705: $i ).
thf(a1704_type,type,
a1704: $i ).
thf(a1701_type,type,
a1701: $i ).
thf(a1700_type,type,
a1700: $i ).
thf(a1698_type,type,
a1698: $i ).
thf(a1695_type,type,
a1695: $i ).
thf(a1694_type,type,
a1694: $i ).
thf(a1690_type,type,
a1690: $i ).
thf(a1689_type,type,
a1689: $i ).
thf(a1685_type,type,
a1685: $i ).
thf(a1684_type,type,
a1684: $i ).
thf(a1683_type,type,
a1683: $i ).
thf(a1672_type,type,
a1672: $i ).
thf(a1671_type,type,
a1671: $i ).
thf(a1667_type,type,
a1667: $i ).
thf(a1666_type,type,
a1666: $i ).
thf(a1657_type,type,
a1657: $i ).
thf(a1655_type,type,
a1655: $i ).
thf(a1648_type,type,
a1648: $i ).
thf(a1647_type,type,
a1647: $i ).
thf(a1646_type,type,
a1646: $i ).
thf(a1643_type,type,
a1643: $i ).
thf(a1637_type,type,
a1637: $i ).
thf(a1712_type,type,
a1712: $i ).
thf(a1706_type,type,
a1706: $i ).
thf(a1693_type,type,
a1693: $i ).
thf(a1691_type,type,
a1691: $i ).
thf(a1682_type,type,
a1682: $i ).
thf(a1681_type,type,
a1681: $i ).
thf(a1680_type,type,
a1680: $i ).
thf(a1678_type,type,
a1678: $i ).
thf(a1677_type,type,
a1677: $i ).
thf(a1664_type,type,
a1664: $i ).
thf(a1663_type,type,
a1663: $i ).
thf(a1660_type,type,
a1660: $i ).
thf(a1650_type,type,
a1650: $i ).
thf(a1645_type,type,
a1645: $i ).
thf(104,negated_conjecture,
( ~ hskp65
| ( c2_1 @ a1687 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
thf(645,plain,
( ~ hskp65
| ( c2_1 @ a1687 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(31,negated_conjecture,
( ~ hskp45
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(629,plain,
( ~ hskp45
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(69,negated_conjecture,
( ~ hskp7
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
thf(365,plain,
( ~ hskp7
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(197,negated_conjecture,
( ~ ( c3_1 @ a1687 )
| ~ hskp65 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
thf(479,plain,
( ~ ( c3_1 @ a1687 )
| ~ hskp65 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(359,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause359) ).
thf(628,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ C )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(237,negated_conjecture,
( ~ ( c0_1 @ a1706 )
| ~ hskp35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause237) ).
thf(518,plain,
( ~ ( c0_1 @ a1706 )
| ~ hskp35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(349,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause349) ).
thf(468,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c1_1 @ B )
| hskp67 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(181,negated_conjecture,
( ~ hskp4
| ( c1_1 @ a1647 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
thf(555,plain,
( ~ hskp4
| ( c1_1 @ a1647 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(82,negated_conjecture,
( hskp66
| hskp27
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
thf(666,plain,
( hskp66
| hskp27
| hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(361,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ B )
| ( c2_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause361) ).
thf(481,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ B )
| ( c2_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(189,negated_conjecture,
( ~ ( c2_1 @ a1715 )
| ~ hskp72 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
thf(408,plain,
( ~ ( c2_1 @ a1715 )
| ~ hskp72 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(168,negated_conjecture,
( ~ hskp21
| ( c3_1 @ a1683 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
thf(683,plain,
( ~ hskp21
| ( c3_1 @ a1683 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(307,negated_conjecture,
( ~ ( c1_1 @ a1645 )
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause307) ).
thf(449,plain,
( ~ ( c1_1 @ a1645 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(202,negated_conjecture,
( ~ ( c3_1 @ a1675 )
| ~ hskp62 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
thf(379,plain,
( ~ ( c3_1 @ a1675 )
| ~ hskp62 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(35,negated_conjecture,
( ~ hskp41
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(597,plain,
( ~ hskp41
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(148,negated_conjecture,
( ~ hskp40
| ( c1_1 @ a1725 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
thf(523,plain,
( ~ hskp40
| ( c1_1 @ a1725 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(66,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
thf(582,plain,
( ~ hskp10
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(1,negated_conjecture,
( ~ hskp75
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(440,plain,
( ~ hskp75
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(139,negated_conjecture,
( ~ hskp44
| ( c3_1 @ a1640 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
thf(655,plain,
( ~ hskp44
| ( c3_1 @ a1640 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(2,negated_conjecture,
( ~ hskp74
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(511,plain,
( ~ hskp74
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,negated_conjecture,
( ~ hskp58
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(614,plain,
( ~ hskp58
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(36,negated_conjecture,
( ~ hskp40
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(677,plain,
( ~ hskp40
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(56,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
thf(385,plain,
( ~ hskp20
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(10,negated_conjecture,
( ~ hskp66
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(384,plain,
( ~ hskp66
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(180,negated_conjecture,
( ~ hskp5
| ( c3_1 @ a1648 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
thf(533,plain,
( ~ hskp5
| ( c3_1 @ a1648 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(313,negated_conjecture,
! [A: $i] :
( ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A )
| hskp56
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause313) ).
thf(550,plain,
! [A: $i] :
( ~ ndr1_0
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A )
| hskp56
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(256,negated_conjecture,
( ~ ( c2_1 @ a1691 )
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause256) ).
thf(500,plain,
( ~ ( c2_1 @ a1691 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(309,negated_conjecture,
( ~ ( c3_1 @ a1645 )
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause309) ).
thf(715,plain,
( ~ ( c3_1 @ a1645 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(70,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
thf(472,plain,
( ~ hskp6
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(4,negated_conjecture,
( ~ hskp72
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(698,plain,
( ~ hskp72
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(44,negated_conjecture,
( ~ hskp32
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
thf(538,plain,
( ~ hskp32
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(235,negated_conjecture,
( ~ ( c0_1 @ a1712 )
| ~ hskp36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause235) ).
thf(670,plain,
( ~ ( c0_1 @ a1712 )
| ~ hskp36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(196,negated_conjecture,
( ~ ( c2_1 @ a1692 )
| ~ hskp66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
thf(404,plain,
( ~ ( c2_1 @ a1692 )
| ~ hskp66 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(277,negated_conjecture,
( ~ ( c2_1 @ a1678 )
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause277) ).
thf(709,plain,
( ~ ( c2_1 @ a1678 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(57,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
thf(417,plain,
( ~ hskp19
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(230,negated_conjecture,
( ~ ( c0_1 @ a1721 )
| ~ hskp39 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause230) ).
thf(565,plain,
( ~ ( c0_1 @ a1721 )
| ~ hskp39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(61,negated_conjecture,
( ~ hskp15
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
thf(436,plain,
( ~ hskp15
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(26,negated_conjecture,
( ~ hskp50
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(651,plain,
( ~ hskp50
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(174,negated_conjecture,
( ~ hskp13
| ( c3_1 @ a1667 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
thf(389,plain,
( ~ hskp13
| ( c3_1 @ a1667 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(227,negated_conjecture,
( ~ ( c1_1 @ a1726 )
| ~ hskp41 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause227) ).
thf(724,plain,
( ~ ( c1_1 @ a1726 )
| ~ hskp41 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(362,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause362) ).
thf(570,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(232,negated_conjecture,
( ~ ( c0_1 @ a1718 )
| ~ hskp38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause232) ).
thf(719,plain,
( ~ ( c0_1 @ a1718 )
| ~ hskp38 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(333,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| hskp74
| hskp38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause333) ).
thf(372,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| hskp74
| hskp38 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(225,negated_conjecture,
( ~ ( c1_1 @ a1639 )
| ~ hskp43 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause225) ).
thf(504,plain,
( ~ ( c1_1 @ a1639 )
| ~ hskp43 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(358,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ( c2_1 @ A )
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause358) ).
thf(702,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ( c2_1 @ A )
| hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(108,negated_conjecture,
( ~ hskp62
| ( c1_1 @ a1675 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
thf(587,plain,
( ~ hskp62
| ( c1_1 @ a1675 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(263,negated_conjecture,
( ~ ( c0_1 @ a1684 )
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause263) ).
thf(619,plain,
( ~ ( c0_1 @ a1684 )
| ~ hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(118,negated_conjecture,
( ~ hskp56
| ( c0_1 @ a1662 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
thf(542,plain,
( ~ hskp56
| ( c0_1 @ a1662 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(201,negated_conjecture,
( ~ ( c0_1 @ a1676 )
| ~ hskp63 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
thf(460,plain,
( ~ ( c0_1 @ a1676 )
| ~ hskp63 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(187,negated_conjecture,
( ~ ( c3_1 @ a1717 )
| ~ hskp74 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
thf(559,plain,
( ~ ( c3_1 @ a1717 )
| ~ hskp74 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(143,negated_conjecture,
( ~ hskp43
| ( c0_1 @ a1639 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
thf(638,plain,
( ~ hskp43
| ( c0_1 @ a1639 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(29,negated_conjecture,
( ~ hskp47
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(421,plain,
( ~ hskp47
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(355,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| hskp63 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause355) ).
thf(606,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ B )
| hskp63 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(289,negated_conjecture,
( ~ ( c2_1 @ a1663 )
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause289) ).
thf(416,plain,
( ~ ( c2_1 @ a1663 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(74,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
thf(448,plain,
( ~ hskp2
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(137,negated_conjecture,
( ~ hskp46
| ( c0_1 @ a1642 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
thf(475,plain,
( ~ hskp46
| ( c0_1 @ a1642 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(356,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause356) ).
thf(492,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(223,negated_conjecture,
( ~ ( c3_1 @ a1641 )
| ~ hskp45 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause223) ).
thf(591,plain,
( ~ ( c3_1 @ a1641 )
| ~ hskp45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(89,negated_conjecture,
( ~ hskp73
| ( c2_1 @ a1716 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
thf(443,plain,
( ~ hskp73
| ( c2_1 @ a1716 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(308,negated_conjecture,
( ~ ( c0_1 @ a1645 )
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause308) ).
thf(376,plain,
( ~ ( c0_1 @ a1645 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(199,negated_conjecture,
( ~ ( c3_1 @ a1686 )
| ~ hskp64 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
thf(623,plain,
( ~ ( c3_1 @ a1686 )
| ~ hskp64 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(250,negated_conjecture,
( ~ ( c3_1 @ a1694 )
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause250) ).
thf(646,plain,
( ~ ( c3_1 @ a1694 )
| ~ hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(285,negated_conjecture,
( ~ ( c1_1 @ a1666 )
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause285) ).
thf(485,plain,
( ~ ( c1_1 @ a1666 )
| ~ hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(205,negated_conjecture,
( ~ ( c1_1 @ a1673 )
| ~ hskp60 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
thf(514,plain,
( ~ ( c1_1 @ a1673 )
| ~ hskp60 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(271,negated_conjecture,
( ~ ( c2_1 @ a1681 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause271) ).
thf(574,plain,
( ~ ( c2_1 @ a1681 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(324,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp52
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause324) ).
thf(480,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp52
| hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(162,negated_conjecture,
( ~ hskp29
| ( c0_1 @ a1695 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
thf(602,plain,
( ~ hskp29
| ( c0_1 @ a1695 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(11,negated_conjecture,
( ~ hskp65
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(634,plain,
( ~ hskp65
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(94,negated_conjecture,
( ~ hskp71
| ( c0_1 @ a1713 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
thf(692,plain,
( ~ hskp71
| ( c0_1 @ a1713 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(220,negated_conjecture,
( ~ ( c0_1 @ a1644 )
| ~ hskp47 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause220) ).
thf(453,plain,
( ~ ( c0_1 @ a1644 )
| ~ hskp47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(37,negated_conjecture,
( ~ hskp39
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(396,plain,
( ~ hskp39
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(114,negated_conjecture,
( ~ hskp59
| ( c0_1 @ a1669 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
thf(660,plain,
( ~ hskp59
| ( c0_1 @ a1669 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(93,negated_conjecture,
( ~ hskp71
| ( c3_1 @ a1713 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
thf(411,plain,
( ~ hskp71
| ( c3_1 @ a1713 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(121,negated_conjecture,
( ~ hskp54
| ( c3_1 @ a1658 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
thf(428,plain,
( ~ hskp54
| ( c3_1 @ a1658 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(129,negated_conjecture,
( ~ hskp51
| ( c1_1 @ a1653 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
thf(507,plain,
( ~ hskp51
| ( c1_1 @ a1653 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(17,negated_conjecture,
( ~ hskp59
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(527,plain,
( ~ hskp59
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(25,negated_conjecture,
( ~ hskp51
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(397,plain,
( ~ hskp51
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(305,negated_conjecture,
( ~ ( c1_1 @ a1646 )
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause305) ).
thf(687,plain,
( ~ ( c1_1 @ a1646 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(270,negated_conjecture,
( ~ ( c3_1 @ a1681 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause270) ).
thf(452,plain,
( ~ ( c3_1 @ a1681 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(217,negated_conjecture,
( ~ ( c3_1 @ a1649 )
| ~ hskp48 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).
thf(380,plain,
( ~ ( c3_1 @ a1649 )
| ~ hskp48 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(146,negated_conjecture,
( ~ hskp41
| ( c0_1 @ a1726 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
thf(678,plain,
( ~ hskp41
| ( c0_1 @ a1726 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(32,negated_conjecture,
( ~ hskp44
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(529,plain,
( ~ hskp44
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(8,negated_conjecture,
( ~ hskp68
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(661,plain,
( ~ hskp68
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,negated_conjecture,
( ~ hskp49
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(546,plain,
( ~ hskp49
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(276,negated_conjecture,
( ~ ( c1_1 @ a1678 )
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause276) ).
thf(381,plain,
( ~ ( c1_1 @ a1678 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(138,negated_conjecture,
( ~ hskp45
| ( c2_1 @ a1641 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
thf(366,plain,
( ~ hskp45
| ( c2_1 @ a1641 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(296,negated_conjecture,
( ~ ( c0_1 @ a1657 )
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause296) ).
thf(534,plain,
( ~ ( c0_1 @ a1657 )
| ~ hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(322,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp0
| hskp42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause322) ).
thf(714,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp0
| hskp42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(266,negated_conjecture,
( ~ ( c2_1 @ a1682 )
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause266) ).
thf(512,plain,
( ~ ( c2_1 @ a1682 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(132,negated_conjecture,
( ~ hskp50
| ( c0_1 @ a1652 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
thf(439,plain,
( ~ hskp50
| ( c0_1 @ a1652 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(226,negated_conjecture,
( ~ ( c3_1 @ a1638 )
| ~ hskp42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause226) ).
thf(598,plain,
( ~ ( c3_1 @ a1638 )
| ~ hskp42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(113,negated_conjecture,
( ~ hskp59
| ( c3_1 @ a1669 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
thf(561,plain,
( ~ hskp59
| ( c3_1 @ a1669 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(24,negated_conjecture,
( ~ hskp52
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(392,plain,
( ~ hskp52
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(179,negated_conjecture,
( ~ hskp7
| ( c0_1 @ a1655 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
thf(424,plain,
( ~ hskp7
| ( c0_1 @ a1655 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(348,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ B )
| hskp75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause348) ).
thf(429,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ B )
| hskp75 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(344,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c3_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause344) ).
thf(407,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ( c3_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(283,negated_conjecture,
( ~ ( c3_1 @ a1671 )
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause283) ).
thf(693,plain,
( ~ ( c3_1 @ a1671 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(177,negated_conjecture,
( ~ hskp8
| ( c2_1 @ a1657 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
thf(630,plain,
( ~ hskp8
| ( c2_1 @ a1657 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(260,negated_conjecture,
( ~ ( c1_1 @ a1689 )
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause260) ).
thf(467,plain,
( ~ ( c1_1 @ a1689 )
| ~ hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(16,negated_conjecture,
( ~ hskp60
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(625,plain,
( ~ hskp60
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(280,negated_conjecture,
( ~ ( c1_1 @ a1677 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).
thf(435,plain,
( ~ ( c1_1 @ a1677 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(346,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause346) ).
thf(665,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(334,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause334) ).
thf(461,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(169,negated_conjecture,
( ~ hskp21
| ( c2_1 @ a1683 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
thf(493,plain,
( ~ hskp21
| ( c2_1 @ a1683 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(273,negated_conjecture,
( ~ ( c1_1 @ a1680 )
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause273) ).
thf(682,plain,
( ~ ( c1_1 @ a1680 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(144,negated_conjecture,
( ~ hskp42
| ( c1_1 @ a1638 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
thf(551,plain,
( ~ hskp42
| ( c1_1 @ a1638 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(131,negated_conjecture,
( ~ hskp50
| ( c2_1 @ a1652 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
thf(710,plain,
( ~ hskp50
| ( c2_1 @ a1652 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(6,negated_conjecture,
( ~ hskp70
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(456,plain,
( ~ hskp70
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,negated_conjecture,
( ~ hskp69
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(566,plain,
( ~ hskp69
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(329,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp19
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause329) ).
thf(484,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp19
| hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(155,negated_conjecture,
( ~ hskp33
| ( c3_1 @ a1704 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
thf(583,plain,
( ~ hskp33
| ( c3_1 @ a1704 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(166,negated_conjecture,
( ~ hskp23
| ( c2_1 @ a1685 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
thf(522,plain,
( ~ hskp23
| ( c2_1 @ a1685 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(242,negated_conjecture,
( ~ ( c0_1 @ a1704 )
| ~ hskp33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause242) ).
thf(697,plain,
( ~ ( c0_1 @ a1704 )
| ~ hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(304,negated_conjecture,
( ~ ( c2_1 @ a1647 )
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause304) ).
thf(650,plain,
( ~ ( c2_1 @ a1647 )
| ~ hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(282,negated_conjecture,
( ~ ( c1_1 @ a1671 )
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause282) ).
thf(615,plain,
( ~ ( c1_1 @ a1671 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(337,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp60 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause337) ).
thf(725,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| hskp60 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(357,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ B )
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause357) ).
thf(403,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ B )
| hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(153,negated_conjecture,
( ~ hskp37
| ( c0_1 @ a1714 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
thf(388,plain,
( ~ hskp37
| ( c0_1 @ a1714 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(135,negated_conjecture,
( ~ hskp48
| ( c0_1 @ a1649 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
thf(593,plain,
( ~ hskp48
| ( c0_1 @ a1649 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(145,negated_conjecture,
( ~ hskp42
| ( c0_1 @ a1638 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
thf(610,plain,
( ~ hskp42
| ( c0_1 @ a1638 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(261,negated_conjecture,
( ~ ( c0_1 @ a1685 )
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause261) ).
thf(420,plain,
( ~ ( c0_1 @ a1685 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(96,negated_conjecture,
( ~ hskp69
| ( c0_1 @ a1709 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
thf(499,plain,
( ~ hskp69
| ( c0_1 @ a1709 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(105,negated_conjecture,
( ~ hskp64
| ( c0_1 @ a1686 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
thf(519,plain,
( ~ hskp64
| ( c0_1 @ a1686 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(323,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp48
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause323) ).
thf(578,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp48
| hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(297,negated_conjecture,
( ~ ( c2_1 @ a1655 )
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause297) ).
thf(471,plain,
( ~ ( c2_1 @ a1655 )
| ~ hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(156,negated_conjecture,
( ~ hskp32
| ( c1_1 @ a1701 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
thf(488,plain,
( ~ hskp32
| ( c1_1 @ a1701 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(236,negated_conjecture,
( ~ ( c1_1 @ a1712 )
| ~ hskp36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause236) ).
thf(554,plain,
( ~ ( c1_1 @ a1712 )
| ~ hskp36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(22,negated_conjecture,
( ~ hskp54
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(537,plain,
( ~ hskp54
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(58,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
thf(669,plain,
( ~ hskp18
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(87,negated_conjecture,
( ~ hskp74
| ( c0_1 @ a1717 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
thf(642,plain,
( ~ hskp74
| ( c0_1 @ a1717 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(161,negated_conjecture,
( ~ hskp29
| ( c2_1 @ a1695 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
thf(526,plain,
( ~ hskp29
| ( c2_1 @ a1695 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(314,negated_conjecture,
! [A: $i] :
( ~ ndr1_0
| ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A )
| hskp37
| hskp72 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause314) ).
thf(637,plain,
! [A: $i] :
( ~ ndr1_0
| ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A )
| hskp37
| hskp72 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(9,negated_conjecture,
( ~ hskp67
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(489,plain,
( ~ hskp67
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(278,negated_conjecture,
( ~ ( c0_1 @ a1677 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause278) ).
thf(590,plain,
( ~ ( c0_1 @ a1677 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(30,negated_conjecture,
( ~ hskp46
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(679,plain,
( ~ hskp46
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(71,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
thf(547,plain,
( ~ hskp5
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(68,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
thf(706,plain,
( ~ hskp8
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(19,negated_conjecture,
( ~ hskp57
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(686,plain,
( ~ hskp57
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(92,negated_conjecture,
( ~ hskp72
| ( c3_1 @ a1715 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
thf(476,plain,
( ~ hskp72
| ( c3_1 @ a1715 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(67,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
thf(622,plain,
( ~ hskp9
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(288,negated_conjecture,
( ~ ( c1_1 @ a1664 )
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause288) ).
thf(393,plain,
( ~ ( c1_1 @ a1664 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(231,negated_conjecture,
( ~ ( c2_1 @ a1718 )
| ~ hskp38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause231) ).
thf(647,plain,
( ~ ( c2_1 @ a1718 )
| ~ hskp38 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(136,negated_conjecture,
( ~ hskp47
| ( c3_1 @ a1644 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
thf(701,plain,
( ~ hskp47
| ( c3_1 @ a1644 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(311,negated_conjecture,
( ~ ( c2_1 @ a1643 )
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause311) ).
thf(515,plain,
( ~ ( c2_1 @ a1643 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(171,negated_conjecture,
( ~ hskp15
| ( c1_1 @ a1672 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
thf(654,plain,
( ~ hskp15
| ( c1_1 @ a1672 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(60,negated_conjecture,
( ~ hskp16
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(457,plain,
( ~ hskp16
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(90,negated_conjecture,
( ~ hskp73
| ( c0_1 @ a1716 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
thf(721,plain,
( ~ hskp73
| ( c0_1 @ a1716 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(39,negated_conjecture,
( ~ hskp37
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(569,plain,
( ~ hskp37
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(352,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp47 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause352) ).
thf(371,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(124,negated_conjecture,
( ~ hskp53
| ( c0_1 @ a1656 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
thf(503,plain,
( ~ hskp53
| ( c0_1 @ a1656 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(112,negated_conjecture,
( ~ hskp60
| ( c2_1 @ a1673 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
thf(605,plain,
( ~ hskp60
| ( c2_1 @ a1673 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(154,negated_conjecture,
( ~ hskp34
| ( c2_1 @ a1705 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
thf(633,plain,
( ~ hskp34
| ( c2_1 @ a1705 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(41,negated_conjecture,
( ~ hskp35
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(508,plain,
( ~ hskp35
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(59,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
thf(541,plain,
( ~ hskp17
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(158,negated_conjecture,
( ~ hskp31
| ( c2_1 @ a1700 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
thf(657,plain,
( ~ hskp31
| ( c2_1 @ a1700 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(257,negated_conjecture,
( ~ ( c0_1 @ a1690 )
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause257) ).
thf(398,plain,
( ~ ( c0_1 @ a1690 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(159,negated_conjecture,
( ~ hskp30
| ( c1_1 @ a1698 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
thf(558,plain,
( ~ hskp30
| ( c1_1 @ a1698 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(151,negated_conjecture,
( ~ hskp38
| ( c3_1 @ a1718 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
thf(674,plain,
( ~ hskp38
| ( c3_1 @ a1718 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(34,negated_conjecture,
( ~ hskp42
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(530,plain,
( ~ hskp42
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(251,negated_conjecture,
( ~ ( c0_1 @ a1693 )
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause251) ).
thf(586,plain,
( ~ ( c0_1 @ a1693 )
| ~ hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(75,negated_conjecture,
( ~ hskp1
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
thf(662,plain,
( ~ hskp1
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(364,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c1_1 @ A )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause364) ).
thf(718,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ C )
| ( c2_1 @ A )
| ( c1_1 @ A )
| ( c1_1 @ C )
| ( c2_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(284,negated_conjecture,
( ~ ( c1_1 @ a1667 )
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause284) ).
thf(412,plain,
( ~ ( c1_1 @ a1667 )
| ~ hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(327,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp61
| hskp62 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause327) ).
thf(618,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp61
| hskp62 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(321,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp41
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause321) ).
thf(425,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp41
| hskp30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(303,negated_conjecture,
( ~ ( c0_1 @ a1647 )
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause303) ).
thf(573,plain,
( ~ ( c0_1 @ a1647 )
| ~ hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(341,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp69 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause341) ).
thf(689,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp69 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(133,negated_conjecture,
( ~ hskp49
| ( c3_1 @ a1651 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
thf(444,plain,
( ~ hskp49
| ( c3_1 @ a1651 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(115,negated_conjecture,
( ~ hskp58
| ( c3_1 @ a1668 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
thf(375,plain,
( ~ hskp58
| ( c3_1 @ a1668 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(80,negated_conjecture,
( hskp10
| hskp14
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
thf(601,plain,
( hskp10
| hskp14
| hskp15 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(360,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ C )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause360) ).
thf(513,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ C )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(84,negated_conjecture,
( hskp63
| hskp31
| hskp32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
thf(430,plain,
( hskp63
| hskp31
| hskp32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(198,negated_conjecture,
( ~ ( c0_1 @ a1687 )
| ~ hskp65 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
thf(584,plain,
( ~ ( c0_1 @ a1687 )
| ~ hskp65 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(219,negated_conjecture,
( ~ ( c1_1 @ a1644 )
| ~ hskp47 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause219) ).
thf(562,plain,
( ~ ( c1_1 @ a1644 )
| ~ hskp47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(164,negated_conjecture,
( ~ hskp25
| ( c2_1 @ a1690 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
thf(423,plain,
( ~ hskp25
| ( c2_1 @ a1690 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(326,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp11
| hskp57 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause326) ).
thf(694,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp11
| hskp57 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(110,negated_conjecture,
( ~ hskp61
| ( c3_1 @ a1674 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
thf(402,plain,
( ~ hskp61
| ( c3_1 @ a1674 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(140,negated_conjecture,
( ~ hskp44
| ( c2_1 @ a1640 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
thf(579,plain,
( ~ hskp44
| ( c2_1 @ a1640 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(259,negated_conjecture,
( ~ ( c0_1 @ a1689 )
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause259) ).
thf(545,plain,
( ~ ( c0_1 @ a1689 )
| ~ hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(325,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp9
| hskp55 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause325) ).
thf(413,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp9
| hskp55 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(103,negated_conjecture,
( ~ hskp66
| ( c0_1 @ a1692 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
thf(577,plain,
( ~ hskp66
| ( c0_1 @ a1692 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(47,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(711,plain,
( ~ hskp29
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(363,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ C )
| ~ ( c2_1 @ C )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause363) ).
thf(641,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ C )
| ~ ( c2_1 @ C )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(42,negated_conjecture,
( ~ hskp34
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(391,plain,
( ~ hskp34
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(116,negated_conjecture,
( ~ hskp57
| ( c0_1 @ a1665 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
thf(445,plain,
( ~ hskp57
| ( c0_1 @ a1665 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(120,negated_conjecture,
( ~ hskp55
| ( c1_1 @ a1661 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
thf(382,plain,
( ~ hskp55
| ( c1_1 @ a1661 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(98,negated_conjecture,
( ~ hskp68
| ( c3_1 @ a1707 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
thf(572,plain,
( ~ hskp68
| ( c3_1 @ a1707 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(48,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
thf(611,plain,
( ~ hskp28
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(33,negated_conjecture,
( ~ hskp43
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(466,plain,
( ~ hskp43
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(332,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp12
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause332) ).
thf(704,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp12
| hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(291,negated_conjecture,
( ~ ( c0_1 @ a1663 )
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause291) ).
thf(540,plain,
( ~ ( c0_1 @ a1663 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(214,negated_conjecture,
( ~ ( c3_1 @ a1656 )
| ~ hskp53 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause214) ).
thf(672,plain,
( ~ ( c3_1 @ a1656 )
| ~ hskp53 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(200,negated_conjecture,
( ~ ( c1_1 @ a1686 )
| ~ hskp64 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
thf(713,plain,
( ~ ( c1_1 @ a1686 )
| ~ hskp64 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(212,negated_conjecture,
( ~ ( c3_1 @ a1661 )
| ~ hskp55 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause212) ).
thf(498,plain,
( ~ ( c3_1 @ a1661 )
| ~ hskp55 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(209,negated_conjecture,
( ~ ( c1_1 @ a1665 )
| ~ hskp57 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause209) ).
thf(604,plain,
( ~ ( c1_1 @ a1665 )
| ~ hskp57 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(125,negated_conjecture,
( ~ hskp52
| ( c0_1 @ a1654 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
thf(406,plain,
( ~ hskp52
| ( c0_1 @ a1654 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(190,negated_conjecture,
( ~ ( c2_1 @ a1713 )
| ~ hskp71 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
thf(681,plain,
( ~ ( c2_1 @ a1713 )
| ~ hskp71 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(78,negated_conjecture,
( hskp47
| hskp2
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
thf(419,plain,
( hskp47
| hskp2
| hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(5,negated_conjecture,
( ~ hskp71
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(377,plain,
( ~ hskp71
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(150,negated_conjecture,
( ~ hskp39
| ( c3_1 @ a1721 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
thf(616,plain,
( ~ hskp39
| ( c3_1 @ a1721 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(3,negated_conjecture,
( ~ hskp73
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(599,plain,
( ~ hskp73
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(248,negated_conjecture,
( ~ ( c3_1 @ a1695 )
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause248) ).
thf(451,plain,
( ~ ( c3_1 @ a1695 )
| ~ hskp29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(245,negated_conjecture,
( ~ ( c0_1 @ a1700 )
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause245) ).
thf(567,plain,
( ~ ( c0_1 @ a1700 )
| ~ hskp31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(134,negated_conjecture,
( ~ hskp49
| ( c1_1 @ a1651 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
thf(509,plain,
( ~ hskp49
| ( c1_1 @ a1651 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(40,negated_conjecture,
( ~ hskp36
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
thf(649,plain,
( ~ hskp36
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(147,negated_conjecture,
( ~ hskp41
| ( c2_1 @ a1726 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
thf(434,plain,
( ~ hskp41
| ( c2_1 @ a1726 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(229,negated_conjecture,
( ~ ( c1_1 @ a1721 )
| ~ hskp39 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause229) ).
thf(477,plain,
( ~ ( c1_1 @ a1721 )
| ~ hskp39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(340,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause340) ).
thf(387,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(141,negated_conjecture,
( ~ hskp44
| ( c1_1 @ a1640 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
thf(494,plain,
( ~ hskp44
| ( c1_1 @ a1640 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(182,negated_conjecture,
( ~ hskp3
| ( c0_1 @ a1646 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
thf(631,plain,
( ~ hskp3
| ( c0_1 @ a1646 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(176,negated_conjecture,
( ~ hskp12
| ( c3_1 @ a1666 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
thf(535,plain,
( ~ hskp12
| ( c3_1 @ a1666 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(194,negated_conjecture,
( ~ ( c1_1 @ a1707 )
| ~ hskp68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
thf(609,plain,
( ~ ( c1_1 @ a1707 )
| ~ hskp68 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(299,negated_conjecture,
( ~ ( c2_1 @ a1650 )
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause299) ).
thf(594,plain,
( ~ ( c2_1 @ a1650 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(122,negated_conjecture,
( ~ hskp54
| ( c1_1 @ a1658 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
thf(726,plain,
( ~ hskp54
| ( c1_1 @ a1658 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(50,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(621,plain,
( ~ hskp26
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(97,negated_conjecture,
( ~ hskp69
| ( c3_1 @ a1709 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
thf(483,plain,
( ~ hskp69
| ( c3_1 @ a1709 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(127,negated_conjecture,
( ~ hskp52
| ( c3_1 @ a1654 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
thf(626,plain,
( ~ hskp52
| ( c3_1 @ a1654 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(119,negated_conjecture,
( ~ hskp56
| ( c1_1 @ a1662 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
thf(668,plain,
( ~ hskp56
| ( c1_1 @ a1662 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(302,negated_conjecture,
( ~ ( c0_1 @ a1648 )
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause302) ).
thf(462,plain,
( ~ ( c0_1 @ a1648 )
| ~ hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(101,negated_conjecture,
( ~ hskp67
| ( c2_1 @ a1702 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
thf(367,plain,
( ~ hskp67
| ( c2_1 @ a1702 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(49,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
thf(552,plain,
( ~ hskp27
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(126,negated_conjecture,
( ~ hskp52
| ( c2_1 @ a1654 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
thf(700,plain,
( ~ hskp52
| ( c2_1 @ a1654 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(244,negated_conjecture,
( ~ ( c3_1 @ a1701 )
| ~ hskp32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause244) ).
thf(520,plain,
( ~ ( c3_1 @ a1701 )
| ~ hskp32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(52,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
thf(399,plain,
( ~ hskp24
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(233,negated_conjecture,
( ~ ( c1_1 @ a1714 )
| ~ hskp37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause233) ).
thf(455,plain,
( ~ ( c1_1 @ a1714 )
| ~ hskp37 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(123,negated_conjecture,
( ~ hskp53
| ( c2_1 @ a1656 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
thf(608,plain,
( ~ hskp53
| ( c2_1 @ a1656 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(301,negated_conjecture,
( ~ ( c1_1 @ a1648 )
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause301) ).
thf(394,plain,
( ~ ( c1_1 @ a1648 )
| ~ hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(274,negated_conjecture,
( ~ ( c0_1 @ a1680 )
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause274) ).
thf(563,plain,
( ~ ( c0_1 @ a1680 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(353,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp39 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause353) ).
thf(431,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(186,negated_conjecture,
( ~ ( c2_1 @ a1724 )
| ~ hskp75 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
thf(653,plain,
( ~ ( c2_1 @ a1724 )
| ~ hskp75 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(351,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| hskp73 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause351) ).
thf(658,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ B )
| hskp73 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(183,negated_conjecture,
( ~ hskp1
| ( c3_1 @ a1643 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
thf(685,plain,
( ~ hskp1
| ( c3_1 @ a1643 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(298,negated_conjecture,
( ~ ( c1_1 @ a1650 )
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause298) ).
thf(521,plain,
( ~ ( c1_1 @ a1650 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(175,negated_conjecture,
( ~ hskp12
| ( c2_1 @ a1666 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
thf(636,plain,
( ~ hskp12
| ( c2_1 @ a1666 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(107,negated_conjecture,
( ~ hskp63
| ( c3_1 @ a1676 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
thf(695,plain,
( ~ hskp63
| ( c3_1 @ a1676 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(173,negated_conjecture,
( ~ hskp13
| ( c0_1 @ a1667 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
thf(505,plain,
( ~ hskp13
| ( c0_1 @ a1667 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(293,negated_conjecture,
( ~ ( c0_1 @ a1660 )
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause293) ).
thf(438,plain,
( ~ ( c0_1 @ a1660 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(275,negated_conjecture,
( ~ ( c0_1 @ a1678 )
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause275) ).
thf(473,plain,
( ~ ( c0_1 @ a1678 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(111,negated_conjecture,
( ~ hskp60
| ( c3_1 @ a1673 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
thf(722,plain,
( ~ hskp60
| ( c3_1 @ a1673 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(106,negated_conjecture,
( ~ hskp63
| ( c2_1 @ a1676 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
thf(426,plain,
( ~ hskp63
| ( c2_1 @ a1676 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(130,negated_conjecture,
( ~ hskp50
| ( c3_1 @ a1652 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
thf(589,plain,
( ~ hskp50
| ( c3_1 @ a1652 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(279,negated_conjecture,
( ~ ( c2_1 @ a1677 )
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause279) ).
thf(531,plain,
( ~ ( c2_1 @ a1677 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(51,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
thf(680,plain,
( ~ hskp25
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(170,negated_conjecture,
( ~ hskp15
| ( c3_1 @ a1672 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
thf(374,plain,
( ~ hskp15
| ( c3_1 @ a1672 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(335,negated_conjecture,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp49 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause335) ).
thf(553,plain,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp49 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(117,negated_conjecture,
( ~ hskp57
| ( c3_1 @ a1665 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
thf(458,plain,
( ~ hskp57
| ( c3_1 @ a1665 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(188,negated_conjecture,
( ~ ( c3_1 @ a1716 )
| ~ hskp73 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
thf(490,plain,
( ~ ( c3_1 @ a1716 )
| ~ hskp73 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(300,negated_conjecture,
( ~ ( c3_1 @ a1650 )
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause300) ).
thf(675,plain,
( ~ ( c3_1 @ a1650 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(207,negated_conjecture,
( ~ ( c0_1 @ a1668 )
| ~ hskp58 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).
thf(663,plain,
( ~ ( c0_1 @ a1668 )
| ~ hskp58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(12,negated_conjecture,
( ~ hskp64
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(548,plain,
( ~ hskp64
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(319,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| hskp35
| hskp68 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause319) ).
thf(648,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| hskp35
| hskp68 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(317,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp60
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause317) ).
thf(487,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp60
| hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(95,negated_conjecture,
( ~ hskp70
| ( c1_1 @ a1710 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
thf(617,plain,
( ~ hskp70
| ( c1_1 @ a1710 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(128,negated_conjecture,
( ~ hskp51
| ( c2_1 @ a1653 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
thf(516,plain,
( ~ hskp51
| ( c2_1 @ a1653 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(45,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(525,plain,
( ~ hskp31
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(213,negated_conjecture,
( ~ ( c0_1 @ a1658 )
| ~ hskp54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause213) ).
thf(580,plain,
( ~ ( c0_1 @ a1658 )
| ~ hskp54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(268,negated_conjecture,
( ~ ( c3_1 @ a1682 )
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause268) ).
thf(690,plain,
( ~ ( c3_1 @ a1682 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(99,negated_conjecture,
( ~ hskp68
| ( c0_1 @ a1707 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
thf(640,plain,
( ~ hskp68
| ( c0_1 @ a1707 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(15,negated_conjecture,
( ~ hskp61
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(705,plain,
( ~ hskp61
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(62,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
thf(707,plain,
( ~ hskp14
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(152,negated_conjecture,
( ~ hskp37
| ( c2_1 @ a1714 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
thf(414,plain,
( ~ hskp37
| ( c2_1 @ a1714 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(20,negated_conjecture,
( ~ hskp56
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(409,plain,
( ~ hskp56
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(163,negated_conjecture,
( ~ hskp28
| ( c2_1 @ a1694 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
thf(712,plain,
( ~ hskp28
| ( c2_1 @ a1694 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(86,negated_conjecture,
( ~ hskp75
| ( c3_1 @ a1724 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
thf(557,plain,
( ~ hskp75
| ( c3_1 @ a1724 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(287,negated_conjecture,
( ~ ( c2_1 @ a1664 )
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause287) ).
thf(673,plain,
( ~ ( c2_1 @ a1664 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(265,negated_conjecture,
( ~ ( c1_1 @ a1683 )
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause265) ).
thf(441,plain,
( ~ ( c1_1 @ a1683 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(222,negated_conjecture,
( ~ ( c1_1 @ a1642 )
| ~ hskp46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause222) ).
thf(717,plain,
( ~ ( c1_1 @ a1642 )
| ~ hskp46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(328,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp16
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause328) ).
thf(502,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp16
| hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(160,negated_conjecture,
( ~ hskp30
| ( c3_1 @ a1698 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
thf(463,plain,
( ~ hskp30
| ( c3_1 @ a1698 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(203,negated_conjecture,
( ~ ( c1_1 @ a1674 )
| ~ hskp61 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
thf(643,plain,
( ~ ( c1_1 @ a1674 )
| ~ hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(204,negated_conjecture,
( ~ ( c2_1 @ a1674 )
| ~ hskp61 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
thf(544,plain,
( ~ ( c2_1 @ a1674 )
| ~ hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(240,negated_conjecture,
( ~ ( c3_1 @ a1705 )
| ~ hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause240) ).
thf(585,plain,
( ~ ( c3_1 @ a1705 )
| ~ hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(88,negated_conjecture,
( ~ hskp74
| ( c2_1 @ a1717 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
thf(370,plain,
( ~ hskp74
| ( c2_1 @ a1717 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(38,negated_conjecture,
( ~ hskp38
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
thf(470,plain,
( ~ hskp38
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(345,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause345) ).
thf(576,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(79,negated_conjecture,
( hskp53
| hskp8
| hskp54 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
thf(703,plain,
( hskp53
| hskp8
| hskp54 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(23,negated_conjecture,
( ~ hskp53
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(656,plain,
( ~ hskp53
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(295,negated_conjecture,
( ~ ( c1_1 @ a1657 )
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause295) ).
thf(613,plain,
( ~ ( c1_1 @ a1657 )
| ~ hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(241,negated_conjecture,
( ~ ( c1_1 @ a1705 )
| ~ hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause241) ).
thf(600,plain,
( ~ ( c1_1 @ a1705 )
| ~ hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(354,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause354) ).
thf(727,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(142,negated_conjecture,
( ~ hskp43
| ( c2_1 @ a1639 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
thf(386,plain,
( ~ hskp43
| ( c2_1 @ a1639 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(267,negated_conjecture,
( ~ ( c1_1 @ a1682 )
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause267) ).
thf(595,plain,
( ~ ( c1_1 @ a1682 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(63,negated_conjecture,
( ~ hskp13
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
thf(612,plain,
( ~ hskp13
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(193,negated_conjecture,
( ~ ( c1_1 @ a1709 )
| ~ hskp69 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
thf(497,plain,
( ~ ( c1_1 @ a1709 )
| ~ hskp69 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(243,negated_conjecture,
( ~ ( c2_1 @ a1704 )
| ~ hskp33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause243) ).
thf(446,plain,
( ~ ( c2_1 @ a1704 )
| ~ hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(76,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
thf(571,plain,
( ~ hskp0
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(165,negated_conjecture,
( ~ hskp24
| ( c3_1 @ a1689 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
thf(465,plain,
( ~ hskp24
| ( c3_1 @ a1689 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(338,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause338) ).
thf(627,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(292,negated_conjecture,
( ~ ( c3_1 @ a1660 )
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause292) ).
thf(450,plain,
( ~ ( c3_1 @ a1660 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(350,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause350) ).
thf(556,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(286,negated_conjecture,
( ~ ( c3_1 @ a1664 )
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause286) ).
thf(539,plain,
( ~ ( c3_1 @ a1664 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(65,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
thf(482,plain,
( ~ hskp11
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(246,negated_conjecture,
( ~ ( c3_1 @ a1700 )
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause246) ).
thf(671,plain,
( ~ ( c3_1 @ a1700 )
| ~ hskp31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(210,negated_conjecture,
( ~ ( c2_1 @ a1662 )
| ~ hskp56 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause210) ).
thf(688,plain,
( ~ ( c2_1 @ a1662 )
| ~ hskp56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(339,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause339) ).
thf(495,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(347,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp61 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause347) ).
thf(368,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(264,negated_conjecture,
( ~ ( c3_1 @ a1684 )
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause264) ).
thf(524,plain,
( ~ ( c3_1 @ a1684 )
| ~ hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(91,negated_conjecture,
( ~ hskp72
| ( c1_1 @ a1715 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
thf(581,plain,
( ~ hskp72
| ( c1_1 @ a1715 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(343,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause343) ).
thf(517,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c0_1 @ B )
| ( c2_1 @ B )
| hskp46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(258,negated_conjecture,
( ~ ( c1_1 @ a1690 )
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause258) ).
thf(652,plain,
( ~ ( c1_1 @ a1690 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(185,negated_conjecture,
( ~ hskp0
| ( c0_1 @ a1637 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
thf(390,plain,
( ~ hskp0
| ( c0_1 @ a1637 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(336,negated_conjecture,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp70 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause336) ).
thf(632,plain,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(184,negated_conjecture,
( ~ hskp0
| ( c1_1 @ a1637 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
thf(401,plain,
( ~ hskp0
| ( c1_1 @ a1637 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(316,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp58
| hskp59 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause316) ).
thf(418,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp58
| hskp59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(330,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp61
| hskp33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause330) ).
thf(588,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp61
| hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(294,negated_conjecture,
( ~ ( c1_1 @ a1660 )
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause294) ).
thf(699,plain,
( ~ ( c1_1 @ a1660 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(318,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp61
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause318) ).
thf(568,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp61
| hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(269,negated_conjecture,
( ~ ( c1_1 @ a1681 )
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause269) ).
thf(378,plain,
( ~ ( c1_1 @ a1681 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(290,negated_conjecture,
( ~ ( c3_1 @ a1663 )
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause290) ).
thf(667,plain,
( ~ ( c3_1 @ a1663 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(252,negated_conjecture,
( ~ ( c3_1 @ a1693 )
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause252) ).
thf(478,plain,
( ~ ( c3_1 @ a1693 )
| ~ hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(247,negated_conjecture,
( ~ ( c0_1 @ a1698 )
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause247) ).
thf(383,plain,
( ~ ( c0_1 @ a1698 )
| ~ hskp30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(262,negated_conjecture,
( ~ ( c1_1 @ a1685 )
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause262) ).
thf(684,plain,
( ~ ( c1_1 @ a1685 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(54,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
thf(549,plain,
( ~ hskp22
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(191,negated_conjecture,
( ~ ( c0_1 @ a1710 )
| ~ hskp70 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
thf(536,plain,
( ~ ( c0_1 @ a1710 )
| ~ hskp70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(215,negated_conjecture,
( ~ ( c0_1 @ a1653 )
| ~ hskp51 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause215) ).
thf(716,plain,
( ~ ( c0_1 @ a1653 )
| ~ hskp51 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(253,negated_conjecture,
( ~ ( c2_1 @ a1693 )
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause253) ).
thf(433,plain,
( ~ ( c2_1 @ a1693 )
| ~ hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(73,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
thf(510,plain,
( ~ hskp3
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(310,negated_conjecture,
( ~ ( c1_1 @ a1643 )
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause310) ).
thf(620,plain,
( ~ ( c1_1 @ a1643 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(312,negated_conjecture,
( ~ ( c2_1 @ a1637 )
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause312) ).
thf(447,plain,
( ~ ( c2_1 @ a1637 )
| ~ hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(211,negated_conjecture,
( ~ ( c2_1 @ a1661 )
| ~ hskp55 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause211) ).
thf(432,plain,
( ~ ( c2_1 @ a1661 )
| ~ hskp55 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(46,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
thf(410,plain,
( ~ hskp30
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(157,negated_conjecture,
( ~ hskp32
| ( c0_1 @ a1701 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
thf(405,plain,
( ~ hskp32
| ( c0_1 @ a1701 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(216,negated_conjecture,
( ~ ( c2_1 @ a1651 )
| ~ hskp49 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause216) ).
thf(422,plain,
( ~ ( c2_1 @ a1651 )
| ~ hskp49 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(249,negated_conjecture,
( ~ ( c1_1 @ a1694 )
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause249) ).
thf(373,plain,
( ~ ( c1_1 @ a1694 )
| ~ hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(255,negated_conjecture,
( ~ ( c1_1 @ a1691 )
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause255) ).
thf(603,plain,
( ~ ( c1_1 @ a1691 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(81,negated_conjecture,
( hskp23
| hskp64
| hskp65 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
thf(564,plain,
( hskp23
| hskp64
| hskp65 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(13,negated_conjecture,
( ~ hskp63
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(506,plain,
( ~ hskp63
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(221,negated_conjecture,
( ~ ( c2_1 @ a1642 )
| ~ hskp46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause221) ).
thf(437,plain,
( ~ ( c2_1 @ a1642 )
| ~ hskp46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(21,negated_conjecture,
( ~ hskp55
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(474,plain,
( ~ hskp55
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(272,negated_conjecture,
( ~ ( c3_1 @ a1680 )
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause272) ).
thf(664,plain,
( ~ ( c3_1 @ a1680 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(14,negated_conjecture,
( ~ hskp62
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(400,plain,
( ~ hskp62
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(72,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
thf(635,plain,
( ~ hskp4
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(64,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
thf(532,plain,
( ~ hskp12
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(239,negated_conjecture,
( ~ ( c1_1 @ a1706 )
| ~ hskp35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause239) ).
thf(696,plain,
( ~ ( c1_1 @ a1706 )
| ~ hskp35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(100,negated_conjecture,
( ~ hskp67
| ( c1_1 @ a1702 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
thf(720,plain,
( ~ hskp67
| ( c1_1 @ a1702 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(228,negated_conjecture,
( ~ ( c2_1 @ a1725 )
| ~ hskp40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).
thf(415,plain,
( ~ ( c2_1 @ a1725 )
| ~ hskp40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(83,negated_conjecture,
( hskp29
| hskp52
| hskp53 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
thf(728,plain,
( hskp29
| hskp52
| hskp53 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(192,negated_conjecture,
( ~ ( c3_1 @ a1710 )
| ~ hskp70 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
thf(464,plain,
( ~ ( c3_1 @ a1710 )
| ~ hskp70 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(208,negated_conjecture,
( ~ ( c1_1 @ a1668 )
| ~ hskp58 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).
thf(575,plain,
( ~ ( c1_1 @ a1668 )
| ~ hskp58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(238,negated_conjecture,
( ~ ( c3_1 @ a1706 )
| ~ hskp35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause238) ).
thf(427,plain,
( ~ ( c3_1 @ a1706 )
| ~ hskp35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(167,negated_conjecture,
( ~ hskp22
| ( c2_1 @ a1684 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
thf(596,plain,
( ~ hskp22
| ( c2_1 @ a1684 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(149,negated_conjecture,
( ~ hskp40
| ( c3_1 @ a1725 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
thf(528,plain,
( ~ hskp40
| ( c3_1 @ a1725 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(218,negated_conjecture,
( ~ ( c2_1 @ a1649 )
| ~ hskp48 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).
thf(644,plain,
( ~ ( c2_1 @ a1649 )
| ~ hskp48 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(85,negated_conjecture,
( ~ hskp75
| ( c0_1 @ a1724 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
thf(459,plain,
( ~ hskp75
| ( c0_1 @ a1724 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(254,negated_conjecture,
( ~ ( c3_1 @ a1691 )
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause254) ).
thf(723,plain,
( ~ ( c3_1 @ a1691 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(195,negated_conjecture,
( ~ ( c1_1 @ a1692 )
| ~ hskp66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
thf(691,plain,
( ~ ( c1_1 @ a1692 )
| ~ hskp66 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(206,negated_conjecture,
( ~ ( c2_1 @ a1669 )
| ~ hskp59 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
thf(442,plain,
( ~ ( c2_1 @ a1669 )
| ~ hskp59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(109,negated_conjecture,
( ~ hskp62
| ( c0_1 @ a1675 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
thf(501,plain,
( ~ hskp62
| ( c0_1 @ a1675 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(320,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp36
| hskp71 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause320) ).
thf(395,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp36
| hskp71 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(331,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| hskp50
| hskp51 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause331) ).
thf(624,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| hskp50
| hskp51 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(234,negated_conjecture,
( ~ ( c2_1 @ a1712 )
| ~ hskp36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause234) ).
thf(369,plain,
( ~ ( c2_1 @ a1712 )
| ~ hskp36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(342,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp57 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause342) ).
thf(607,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ B )
| ( c3_1 @ B )
| hskp57 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(224,negated_conjecture,
( ~ ( c1_1 @ a1641 )
| ~ hskp45 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause224) ).
thf(486,plain,
( ~ ( c1_1 @ a1641 )
| ~ hskp45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(28,negated_conjecture,
( ~ hskp48
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(469,plain,
( ~ hskp48
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(55,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
thf(659,plain,
( ~ hskp21
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(281,negated_conjecture,
( ~ ( c0_1 @ a1672 )
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause281) ).
thf(543,plain,
( ~ ( c0_1 @ a1672 )
| ~ hskp15 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(172,negated_conjecture,
( ~ hskp14
| ( c2_1 @ a1671 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
thf(560,plain,
( ~ hskp14
| ( c2_1 @ a1671 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(43,negated_conjecture,
( ~ hskp33
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
thf(639,plain,
( ~ hskp33
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(315,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp4
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause315) ).
thf(676,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c0_1 @ A )
| hskp4
| hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(53,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
thf(491,plain,
( ~ hskp23
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(306,negated_conjecture,
( ~ ( c2_1 @ a1646 )
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause306) ).
thf(592,plain,
( ~ ( c2_1 @ a1646 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(178,negated_conjecture,
( ~ hskp7
| ( c3_1 @ a1655 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
thf(708,plain,
( ~ hskp7
| ( c3_1 @ a1655 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(77,negated_conjecture,
( hskp43
| hskp44
| hskp45 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
thf(496,plain,
( hskp43
| hskp44
| hskp45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(102,negated_conjecture,
( ~ hskp67
| ( c3_1 @ a1702 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
thf(454,plain,
( ~ hskp67
| ( c3_1 @ a1702 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(1650,plain,
$false,
inference(cvc4,[status(thm)],[645,629,365,479,628,518,468,555,666,481,408,683,449,379,597,523,582,440,655,511,614,677,385,384,533,550,500,715,472,698,538,670,404,709,417,565,436,651,389,724,570,719,372,504,702,587,619,542,460,559,638,421,606,416,448,475,492,591,443,376,623,646,485,514,574,480,602,634,692,453,396,660,411,428,507,527,397,687,452,380,678,529,661,546,381,366,534,714,512,439,598,561,392,424,429,407,693,630,467,625,435,665,461,493,682,551,710,456,566,484,583,522,697,650,615,725,403,388,593,610,420,499,519,578,471,488,554,537,669,642,526,637,489,590,679,547,706,686,476,622,393,647,701,515,654,457,721,569,371,503,605,633,508,541,657,398,558,674,530,586,662,718,412,618,425,573,689,444,375,601,513,430,584,562,423,694,402,579,545,413,577,711,641,391,445,382,572,611,466,704,540,672,713,498,604,406,681,419,377,616,599,451,567,509,649,434,477,387,494,631,535,609,594,726,621,483,626,668,462,367,552,700,520,399,455,608,394,563,431,653,658,685,521,636,695,505,438,473,722,426,589,531,680,374,553,458,490,675,663,548,648,487,617,516,525,580,690,640,705,707,414,409,712,557,673,441,717,502,463,643,544,585,370,470,576,703,656,613,600,727,386,595,612,497,446,571,465,627,450,556,539,482,671,688,495,368,524,581,517,652,390,632,401,418,588,699,568,378,667,478,383,684,549,536,716,433,510,620,447,432,410,405,422,373,603,564,506,437,474,664,400,635,532,696,720,415,728,464,575,427,596,528,644,459,723,691,442,501,395,624,369,607,486,469,659,543,560,639,676,491,592,708,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN457-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:53:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.42/1.02 % [INFO] Parsing done (168ms).
% 1.42/1.02 % [INFO] Running in sequential loop mode.
% 1.82/1.21 % [INFO] eprover registered as external prover.
% 1.82/1.21 % [INFO] cvc4 registered as external prover.
% 1.82/1.21 % [INFO] Scanning for conjecture ...
% 2.39/1.40 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.62/1.49 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.62/1.50 % [INFO] Problem is propositional (TPTP CNF).
% 2.62/1.50 % [INFO] Type checking passed.
% 2.62/1.50 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 12.96/3.33 % External prover 'cvc4' found a proof!
% 12.96/3.33 % [INFO] Killing All external provers ...
% 12.96/3.33 % Time passed: 2810ms (effective reasoning time: 2306ms)
% 12.96/3.33 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 12.96/3.34 % Axioms used in derivation (0):
% 12.96/3.34 % No. of inferences in proof: 729
% 12.96/3.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2810 ms resp. 2306 ms w/o parsing
% 13.20/3.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.20/3.45 % [INFO] Killing All external provers ...
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