%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV505-1.050 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 : Sat Jun 21 05:34:14 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.52s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV505-1.050 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 10:00:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.52 % SZS status Unsatisfiable
% 0.19/0.52 % SZS output start Proof
% 0.19/0.52 tff(select_type, type, (
% 0.19/0.52 select: ( $i * $i ) > $i)).
% 0.19/0.52 tff(sk_type, type, (
% 0.19/0.52 sk: ( $i * $i ) > $i)).
% 0.19/0.52 tff(a_1850_type, type, (
% 0.19/0.52 a_1850: $i)).
% 0.19/0.52 tff(a_1800_type, type, (
% 0.19/0.52 a_1800: $i)).
% 0.19/0.52 tff(store_type, type, (
% 0.19/0.52 store: ( $i * $i * $i ) > $i)).
% 0.19/0.52 tff(e50_type, type, (
% 0.19/0.52 e50: $i)).
% 0.19/0.52 tff(i50_type, type, (
% 0.19/0.52 i50: $i)).
% 0.19/0.52 tff(a_1835_type, type, (
% 0.19/0.52 a_1835: $i)).
% 0.19/0.52 tff(e2_type, type, (
% 0.19/0.52 e2: $i)).
% 0.19/0.52 tff(i2_type, type, (
% 0.19/0.52 i2: $i)).
% 0.19/0.52 tff(e_1853_type, type, (
% 0.19/0.52 e_1853: $i)).
% 0.19/0.52 tff(e_1852_type, type, (
% 0.19/0.52 e_1852: $i)).
% 0.19/0.52 tff(i_1851_type, type, (
% 0.19/0.52 i_1851: $i)).
% 0.19/0.52 tff(e49_type, type, (
% 0.19/0.52 e49: $i)).
% 0.19/0.52 tff(i49_type, type, (
% 0.19/0.52 i49: $i)).
% 0.19/0.52 tff(a_1798_type, type, (
% 0.19/0.52 a_1798: $i)).
% 0.19/0.52 tff(i24_type, type, (
% 0.19/0.52 i24: $i)).
% 0.19/0.52 tff(i21_type, type, (
% 0.19/0.52 i21: $i)).
% 0.19/0.52 tff(i37_type, type, (
% 0.19/0.52 i37: $i)).
% 0.19/0.52 tff(e48_type, type, (
% 0.19/0.52 e48: $i)).
% 0.19/0.52 tff(i48_type, type, (
% 0.19/0.52 i48: $i)).
% 0.19/0.52 tff(a_1797_type, type, (
% 0.19/0.52 a_1797: $i)).
% 0.19/0.52 tff(e31_type, type, (
% 0.19/0.52 e31: $i)).
% 0.19/0.52 tff(i31_type, type, (
% 0.19/0.52 i31: $i)).
% 0.19/0.52 tff(a_1848_type, type, (
% 0.19/0.52 a_1848: $i)).
% 0.19/0.52 tff(e1_type, type, (
% 0.19/0.52 e1: $i)).
% 0.19/0.52 tff(i1_type, type, (
% 0.19/0.52 i1: $i)).
% 0.19/0.52 tff(a_1849_type, type, (
% 0.19/0.52 a_1849: $i)).
% 0.19/0.52 tff(a1_type, type, (
% 0.19/0.52 a1: $i)).
% 0.19/0.52 tff(a_1751_type, type, (
% 0.19/0.52 a_1751: $i)).
% 0.19/0.52 tff(e3_type, type, (
% 0.19/0.52 e3: $i)).
% 0.19/0.52 tff(i3_type, type, (
% 0.19/0.52 i3: $i)).
% 0.19/0.52 tff(a_1752_type, type, (
% 0.19/0.52 a_1752: $i)).
% 0.19/0.52 tff(e4_type, type, (
% 0.19/0.52 e4: $i)).
% 0.19/0.52 tff(i4_type, type, (
% 0.19/0.52 i4: $i)).
% 0.19/0.52 tff(a_1753_type, type, (
% 0.19/0.52 a_1753: $i)).
% 0.19/0.52 tff(e5_type, type, (
% 0.19/0.52 e5: $i)).
% 0.19/0.52 tff(i5_type, type, (
% 0.19/0.52 i5: $i)).
% 0.19/0.52 tff(a_1754_type, type, (
% 0.19/0.52 a_1754: $i)).
% 0.19/0.52 tff(e6_type, type, (
% 0.19/0.52 e6: $i)).
% 0.19/0.52 tff(i6_type, type, (
% 0.19/0.52 i6: $i)).
% 0.19/0.52 tff(a_1755_type, type, (
% 0.19/0.52 a_1755: $i)).
% 0.19/0.52 tff(e7_type, type, (
% 0.19/0.52 e7: $i)).
% 0.19/0.52 tff(i7_type, type, (
% 0.19/0.52 i7: $i)).
% 0.19/0.52 tff(a_1756_type, type, (
% 0.19/0.52 a_1756: $i)).
% 0.19/0.52 tff(e8_type, type, (
% 0.19/0.52 e8: $i)).
% 0.19/0.52 tff(i8_type, type, (
% 0.19/0.52 i8: $i)).
% 0.19/0.52 tff(a_1757_type, type, (
% 0.19/0.52 a_1757: $i)).
% 0.19/0.52 tff(e9_type, type, (
% 0.19/0.52 e9: $i)).
% 0.19/0.52 tff(i9_type, type, (
% 0.19/0.52 i9: $i)).
% 0.19/0.52 tff(a_1758_type, type, (
% 0.19/0.52 a_1758: $i)).
% 0.19/0.52 tff(e10_type, type, (
% 0.19/0.52 e10: $i)).
% 0.19/0.52 tff(i10_type, type, (
% 0.19/0.52 i10: $i)).
% 0.19/0.52 tff(a_1759_type, type, (
% 0.19/0.52 a_1759: $i)).
% 0.19/0.52 tff(e11_type, type, (
% 0.19/0.52 e11: $i)).
% 0.19/0.52 tff(i11_type, type, (
% 0.19/0.52 i11: $i)).
% 0.19/0.52 tff(a_1760_type, type, (
% 0.19/0.52 a_1760: $i)).
% 0.19/0.52 tff(e12_type, type, (
% 0.19/0.52 e12: $i)).
% 0.19/0.52 tff(i12_type, type, (
% 0.19/0.52 i12: $i)).
% 0.19/0.52 tff(a_1761_type, type, (
% 0.19/0.52 a_1761: $i)).
% 0.19/0.52 tff(e13_type, type, (
% 0.19/0.52 e13: $i)).
% 0.19/0.52 tff(i13_type, type, (
% 0.19/0.52 i13: $i)).
% 0.19/0.52 tff(a_1762_type, type, (
% 0.19/0.52 a_1762: $i)).
% 0.19/0.52 tff(e14_type, type, (
% 0.19/0.52 e14: $i)).
% 0.19/0.52 tff(i14_type, type, (
% 0.19/0.52 i14: $i)).
% 0.19/0.52 tff(a_1763_type, type, (
% 0.19/0.52 a_1763: $i)).
% 0.19/0.52 tff(e15_type, type, (
% 0.19/0.52 e15: $i)).
% 0.19/0.52 tff(i15_type, type, (
% 0.19/0.52 i15: $i)).
% 0.19/0.52 tff(a_1764_type, type, (
% 0.19/0.52 a_1764: $i)).
% 0.19/0.52 tff(e16_type, type, (
% 0.19/0.52 e16: $i)).
% 0.19/0.52 tff(i16_type, type, (
% 0.19/0.52 i16: $i)).
% 0.19/0.52 tff(a_1765_type, type, (
% 0.19/0.52 a_1765: $i)).
% 0.19/0.52 tff(e17_type, type, (
% 0.19/0.52 e17: $i)).
% 0.19/0.52 tff(i17_type, type, (
% 0.19/0.52 i17: $i)).
% 0.19/0.52 tff(a_1766_type, type, (
% 0.19/0.52 a_1766: $i)).
% 0.19/0.52 tff(e18_type, type, (
% 0.19/0.52 e18: $i)).
% 0.19/0.52 tff(i18_type, type, (
% 0.19/0.52 i18: $i)).
% 0.19/0.52 tff(a_1767_type, type, (
% 0.19/0.52 a_1767: $i)).
% 0.19/0.52 tff(e19_type, type, (
% 0.19/0.52 e19: $i)).
% 0.19/0.52 tff(i19_type, type, (
% 0.19/0.52 i19: $i)).
% 0.19/0.52 tff(a_1768_type, type, (
% 0.19/0.52 a_1768: $i)).
% 0.19/0.52 tff(e20_type, type, (
% 0.19/0.52 e20: $i)).
% 0.19/0.52 tff(i20_type, type, (
% 0.19/0.52 i20: $i)).
% 0.19/0.52 tff(a_1769_type, type, (
% 0.19/0.52 a_1769: $i)).
% 0.19/0.52 tff(e21_type, type, (
% 0.19/0.52 e21: $i)).
% 0.19/0.52 tff(a_1770_type, type, (
% 0.19/0.52 a_1770: $i)).
% 0.19/0.52 tff(e22_type, type, (
% 0.19/0.52 e22: $i)).
% 0.19/0.52 tff(i22_type, type, (
% 0.19/0.52 i22: $i)).
% 0.19/0.52 tff(a_1771_type, type, (
% 0.19/0.52 a_1771: $i)).
% 0.19/0.52 tff(e23_type, type, (
% 0.19/0.52 e23: $i)).
% 0.19/0.52 tff(i23_type, type, (
% 0.19/0.52 i23: $i)).
% 0.19/0.52 tff(a_1772_type, type, (
% 0.19/0.52 a_1772: $i)).
% 0.19/0.52 tff(e24_type, type, (
% 0.19/0.52 e24: $i)).
% 0.19/0.52 tff(a_1773_type, type, (
% 0.19/0.52 a_1773: $i)).
% 0.19/0.52 tff(e25_type, type, (
% 0.19/0.52 e25: $i)).
% 0.19/0.52 tff(i25_type, type, (
% 0.19/0.52 i25: $i)).
% 0.19/0.52 tff(a_1774_type, type, (
% 0.19/0.52 a_1774: $i)).
% 0.19/0.52 tff(e26_type, type, (
% 0.19/0.52 e26: $i)).
% 0.19/0.52 tff(i26_type, type, (
% 0.19/0.52 i26: $i)).
% 0.19/0.52 tff(a_1775_type, type, (
% 0.19/0.52 a_1775: $i)).
% 0.19/0.52 tff(e27_type, type, (
% 0.19/0.52 e27: $i)).
% 0.19/0.52 tff(i27_type, type, (
% 0.19/0.52 i27: $i)).
% 0.19/0.52 tff(a_1776_type, type, (
% 0.19/0.52 a_1776: $i)).
% 0.19/0.52 tff(e28_type, type, (
% 0.19/0.52 e28: $i)).
% 0.19/0.52 tff(i28_type, type, (
% 0.19/0.52 i28: $i)).
% 0.19/0.52 tff(a_1777_type, type, (
% 0.19/0.52 a_1777: $i)).
% 0.19/0.52 tff(e29_type, type, (
% 0.19/0.52 e29: $i)).
% 0.19/0.52 tff(i29_type, type, (
% 0.19/0.52 i29: $i)).
% 0.19/0.52 tff(a_1778_type, type, (
% 0.19/0.52 a_1778: $i)).
% 0.19/0.52 tff(e30_type, type, (
% 0.19/0.52 e30: $i)).
% 0.19/0.52 tff(i30_type, type, (
% 0.19/0.52 i30: $i)).
% 0.19/0.52 tff(a_1779_type, type, (
% 0.19/0.52 a_1779: $i)).
% 0.19/0.52 tff(a_1780_type, type, (
% 0.19/0.52 a_1780: $i)).
% 0.19/0.52 tff(e32_type, type, (
% 0.19/0.52 e32: $i)).
% 0.19/0.52 tff(i32_type, type, (
% 0.19/0.52 i32: $i)).
% 0.19/0.52 tff(a_1781_type, type, (
% 0.19/0.52 a_1781: $i)).
% 0.19/0.52 tff(e33_type, type, (
% 0.19/0.52 e33: $i)).
% 0.19/0.52 tff(i33_type, type, (
% 0.19/0.52 i33: $i)).
% 0.19/0.52 tff(a_1782_type, type, (
% 0.19/0.52 a_1782: $i)).
% 0.19/0.52 tff(e34_type, type, (
% 0.19/0.52 e34: $i)).
% 0.19/0.52 tff(i34_type, type, (
% 0.19/0.52 i34: $i)).
% 0.19/0.52 tff(a_1783_type, type, (
% 0.19/0.52 a_1783: $i)).
% 0.19/0.52 tff(e35_type, type, (
% 0.19/0.52 e35: $i)).
% 0.19/0.52 tff(i35_type, type, (
% 0.19/0.52 i35: $i)).
% 0.19/0.52 tff(a_1784_type, type, (
% 0.19/0.52 a_1784: $i)).
% 0.19/0.52 tff(e36_type, type, (
% 0.19/0.52 e36: $i)).
% 0.19/0.52 tff(i36_type, type, (
% 0.19/0.52 i36: $i)).
% 0.19/0.52 tff(a_1785_type, type, (
% 0.19/0.52 a_1785: $i)).
% 0.19/0.52 tff(e37_type, type, (
% 0.19/0.52 e37: $i)).
% 0.19/0.52 tff(a_1786_type, type, (
% 0.19/0.52 a_1786: $i)).
% 0.19/0.52 tff(e38_type, type, (
% 0.19/0.52 e38: $i)).
% 0.19/0.52 tff(i38_type, type, (
% 0.19/0.52 i38: $i)).
% 0.19/0.52 tff(a_1787_type, type, (
% 0.19/0.52 a_1787: $i)).
% 0.19/0.52 tff(e39_type, type, (
% 0.19/0.52 e39: $i)).
% 0.19/0.52 tff(i39_type, type, (
% 0.19/0.52 i39: $i)).
% 0.19/0.52 tff(a_1788_type, type, (
% 0.19/0.52 a_1788: $i)).
% 0.19/0.52 tff(e40_type, type, (
% 0.19/0.52 e40: $i)).
% 0.19/0.52 tff(i40_type, type, (
% 0.19/0.52 i40: $i)).
% 0.19/0.52 tff(a_1789_type, type, (
% 0.19/0.52 a_1789: $i)).
% 0.19/0.52 tff(e41_type, type, (
% 0.19/0.52 e41: $i)).
% 0.19/0.52 tff(i41_type, type, (
% 0.19/0.52 i41: $i)).
% 0.19/0.52 tff(a_1790_type, type, (
% 0.19/0.52 a_1790: $i)).
% 0.19/0.52 tff(e42_type, type, (
% 0.19/0.52 e42: $i)).
% 0.19/0.52 tff(i42_type, type, (
% 0.19/0.52 i42: $i)).
% 0.19/0.52 tff(a_1791_type, type, (
% 0.19/0.52 a_1791: $i)).
% 0.19/0.52 tff(e43_type, type, (
% 0.19/0.52 e43: $i)).
% 0.19/0.52 tff(i43_type, type, (
% 0.19/0.52 i43: $i)).
% 0.19/0.52 tff(a_1792_type, type, (
% 0.19/0.52 a_1792: $i)).
% 0.19/0.52 tff(e44_type, type, (
% 0.19/0.52 e44: $i)).
% 0.19/0.52 tff(i44_type, type, (
% 0.19/0.52 i44: $i)).
% 0.19/0.52 tff(a_1793_type, type, (
% 0.19/0.52 a_1793: $i)).
% 0.19/0.52 tff(e45_type, type, (
% 0.19/0.52 e45: $i)).
% 0.19/0.52 tff(i45_type, type, (
% 0.19/0.52 i45: $i)).
% 0.19/0.52 tff(a_1794_type, type, (
% 0.19/0.52 a_1794: $i)).
% 0.19/0.52 tff(e46_type, type, (
% 0.19/0.52 e46: $i)).
% 0.19/0.52 tff(i46_type, type, (
% 0.19/0.52 i46: $i)).
% 0.19/0.52 tff(a_1795_type, type, (
% 0.19/0.52 a_1795: $i)).
% 0.19/0.52 tff(e47_type, type, (
% 0.19/0.52 e47: $i)).
% 0.19/0.52 tff(i47_type, type, (
% 0.19/0.52 i47: $i)).
% 0.19/0.52 tff(a_1796_type, type, (
% 0.19/0.52 a_1796: $i)).
% 0.19/0.52 tff(a_1799_type, type, (
% 0.19/0.52 a_1799: $i)).
% 0.19/0.52 tff(a_1812_type, type, (
% 0.19/0.52 a_1812: $i)).
% 0.19/0.52 tff(a_1811_type, type, (
% 0.19/0.52 a_1811: $i)).
% 0.19/0.52 tff(a_1847_type, type, (
% 0.19/0.52 a_1847: $i)).
% 0.19/0.52 tff(a_1846_type, type, (
% 0.19/0.52 a_1846: $i)).
% 0.19/0.52 tff(a_1845_type, type, (
% 0.19/0.52 a_1845: $i)).
% 0.19/0.52 tff(a_1844_type, type, (
% 0.19/0.52 a_1844: $i)).
% 0.19/0.52 tff(a_1843_type, type, (
% 0.19/0.52 a_1843: $i)).
% 0.19/0.52 tff(a_1842_type, type, (
% 0.19/0.52 a_1842: $i)).
% 0.19/0.52 tff(a_1841_type, type, (
% 0.19/0.52 a_1841: $i)).
% 0.19/0.52 tff(a_1840_type, type, (
% 0.19/0.52 a_1840: $i)).
% 0.19/0.52 tff(a_1839_type, type, (
% 0.19/0.52 a_1839: $i)).
% 0.19/0.52 tff(a_1838_type, type, (
% 0.19/0.52 a_1838: $i)).
% 0.19/0.52 tff(a_1837_type, type, (
% 0.19/0.52 a_1837: $i)).
% 0.19/0.52 tff(a_1836_type, type, (
% 0.19/0.52 a_1836: $i)).
% 0.19/0.52 tff(a_1834_type, type, (
% 0.19/0.52 a_1834: $i)).
% 0.19/0.52 tff(a_1833_type, type, (
% 0.19/0.52 a_1833: $i)).
% 0.19/0.52 tff(a_1832_type, type, (
% 0.19/0.52 a_1832: $i)).
% 0.19/0.52 tff(a_1831_type, type, (
% 0.19/0.52 a_1831: $i)).
% 0.19/0.52 tff(a_1830_type, type, (
% 0.19/0.52 a_1830: $i)).
% 0.19/0.52 tff(a_1829_type, type, (
% 0.19/0.52 a_1829: $i)).
% 0.19/0.52 tff(a_1828_type, type, (
% 0.19/0.52 a_1828: $i)).
% 0.19/0.52 tff(a_1827_type, type, (
% 0.19/0.52 a_1827: $i)).
% 0.19/0.52 tff(a_1826_type, type, (
% 0.19/0.52 a_1826: $i)).
% 0.19/0.52 tff(a_1825_type, type, (
% 0.19/0.52 a_1825: $i)).
% 0.19/0.52 tff(a_1824_type, type, (
% 0.19/0.52 a_1824: $i)).
% 0.19/0.52 tff(a_1823_type, type, (
% 0.19/0.52 a_1823: $i)).
% 0.19/0.52 tff(a_1822_type, type, (
% 0.19/0.52 a_1822: $i)).
% 0.19/0.52 tff(a_1821_type, type, (
% 0.19/0.52 a_1821: $i)).
% 0.19/0.52 tff(a_1820_type, type, (
% 0.19/0.52 a_1820: $i)).
% 0.19/0.52 tff(a_1819_type, type, (
% 0.19/0.52 a_1819: $i)).
% 0.19/0.52 tff(a_1818_type, type, (
% 0.19/0.52 a_1818: $i)).
% 0.19/0.52 tff(a_1817_type, type, (
% 0.19/0.52 a_1817: $i)).
% 0.19/0.52 tff(a_1816_type, type, (
% 0.19/0.52 a_1816: $i)).
% 0.19/0.52 tff(a_1815_type, type, (
% 0.19/0.52 a_1815: $i)).
% 0.19/0.52 tff(a_1814_type, type, (
% 0.19/0.52 a_1814: $i)).
% 0.19/0.52 tff(a_1813_type, type, (
% 0.19/0.52 a_1813: $i)).
% 0.19/0.52 tff(a_1802_type, type, (
% 0.19/0.52 a_1802: $i)).
% 0.19/0.52 tff(a_1801_type, type, (
% 0.19/0.52 a_1801: $i)).
% 0.19/0.52 tff(a_1810_type, type, (
% 0.19/0.52 a_1810: $i)).
% 0.19/0.52 tff(a_1809_type, type, (
% 0.19/0.52 a_1809: $i)).
% 0.19/0.52 tff(a_1808_type, type, (
% 0.19/0.52 a_1808: $i)).
% 0.19/0.52 tff(a_1807_type, type, (
% 0.19/0.52 a_1807: $i)).
% 0.19/0.52 tff(a_1806_type, type, (
% 0.19/0.52 a_1806: $i)).
% 0.19/0.52 tff(a_1805_type, type, (
% 0.19/0.52 a_1805: $i)).
% 0.19/0.52 tff(a_1804_type, type, (
% 0.19/0.52 a_1804: $i)).
% 0.19/0.52 tff(a_1803_type, type, (
% 0.19/0.52 a_1803: $i)).
% 0.19/0.52 tff(1,plain,
% 0.19/0.52 ((e_1853 = e_1852) <=> (e_1852 = e_1853)),
% 0.19/0.52 inference(commutativity,[status(thm)],[])).
% 0.19/0.52 tff(2,plain,
% 0.19/0.52 ((e_1852 = select(a_1800, i_1851)) <=> (e_1852 = select(a_1800, i_1851))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(3,axiom,(e_1852 = select(a_1800, i_1851)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp100')).
% 0.19/0.52 tff(4,plain,
% 0.19/0.52 (e_1852 = select(a_1800, i_1851)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.52 tff(5,plain,
% 0.19/0.52 (select(a_1800, i_1851) = e_1852),
% 0.19/0.52 inference(symmetry,[status(thm)],[4])).
% 0.19/0.52 tff(6,plain,
% 0.19/0.52 ((i_1851 = sk(a_1800, a_1850)) <=> (i_1851 = sk(a_1800, a_1850))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(7,axiom,(i_1851 = sk(a_1800, a_1850)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp102')).
% 0.19/0.52 tff(8,plain,
% 0.19/0.52 (i_1851 = sk(a_1800, a_1850)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.52 tff(9,plain,
% 0.19/0.52 (sk(a_1800, a_1850) = i_1851),
% 0.19/0.52 inference(symmetry,[status(thm)],[8])).
% 0.19/0.52 tff(10,plain,
% 0.19/0.52 ((sk(a_1800, a_1850) = i24) <=> (i24 = sk(a_1800, a_1850))),
% 0.19/0.52 inference(commutativity,[status(thm)],[])).
% 0.19/0.52 tff(11,assumption,(~(i50 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.19/0.52 tff(12,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(13,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(14,axiom,(![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a2')).
% 0.19/0.52 tff(15,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.19/0.52 tff(16,plain,(
% 0.19/0.52 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.19/0.52 inference(skolemize,[status(sab)],[15])).
% 0.19/0.52 tff(17,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.19/0.52 tff(18,plain,
% 0.19/0.52 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i50 = sk(a_1800, a_1850)) | (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i50 = sk(a_1800, a_1850)) | (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(19,plain,
% 0.19/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i50 = sk(a_1800, a_1850)) | (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(20,plain,
% 0.19/0.52 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i50 = sk(a_1800, a_1850)) | (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.52 tff(21,plain,
% 0.19/0.52 ((i50 = sk(a_1800, a_1850)) | (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[20, 17])).
% 0.19/0.52 tff(22,plain,
% 0.19/0.52 (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[21, 11])).
% 0.19/0.52 tff(23,plain,
% 0.19/0.52 ((e_1853 = select(a_1850, i_1851)) <=> (e_1853 = select(a_1850, i_1851))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(24,axiom,(e_1853 = select(a_1850, i_1851)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp101')).
% 0.19/0.52 tff(25,plain,
% 0.19/0.52 (e_1853 = select(a_1850, i_1851)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.52 tff(26,plain,
% 0.19/0.52 (select(a_1850, i_1851) = e_1853),
% 0.19/0.52 inference(symmetry,[status(thm)],[25])).
% 0.19/0.52 tff(27,assumption,(i1 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.19/0.52 tff(28,plain,
% 0.19/0.52 (sk(a_1800, a_1850) = i1),
% 0.19/0.52 inference(symmetry,[status(thm)],[27])).
% 0.19/0.52 tff(29,plain,
% 0.19/0.52 (i_1851 = i1),
% 0.19/0.52 inference(transitivity,[status(thm)],[8, 28])).
% 0.19/0.52 tff(30,plain,
% 0.19/0.52 ((a_1849 = store(a_1848, i31, e31)) <=> (a_1849 = store(a_1848, i31, e31))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(31,axiom,(a_1849 = store(a_1848, i31, e31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp98')).
% 0.19/0.52 tff(32,plain,
% 0.19/0.52 (a_1849 = store(a_1848, i31, e31)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.52 tff(33,plain,
% 0.19/0.52 (store(a_1848, i31, e31) = a_1849),
% 0.19/0.52 inference(symmetry,[status(thm)],[32])).
% 0.19/0.52 tff(34,plain,
% 0.19/0.52 (store(store(a_1848, i31, e31), i1, e1) = store(a_1849, i1, e1)),
% 0.19/0.52 inference(monotonicity,[status(thm)],[33])).
% 0.19/0.52 tff(35,plain,
% 0.19/0.52 (store(a_1849, i1, e1) = store(store(a_1848, i31, e31), i1, e1)),
% 0.19/0.52 inference(symmetry,[status(thm)],[34])).
% 0.19/0.52 tff(36,plain,
% 0.19/0.52 ((a_1850 = store(a_1849, i1, e1)) <=> (a_1850 = store(a_1849, i1, e1))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(37,axiom,(a_1850 = store(a_1849, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp99')).
% 0.19/0.52 tff(38,plain,
% 0.19/0.52 (a_1850 = store(a_1849, i1, e1)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.19/0.52 tff(39,plain,
% 0.19/0.52 (a_1850 = store(store(a_1848, i31, e31), i1, e1)),
% 0.19/0.52 inference(transitivity,[status(thm)],[38, 35])).
% 0.19/0.52 tff(40,plain,
% 0.19/0.52 (select(a_1850, i_1851) = select(store(store(a_1848, i31, e31), i1, e1), i1)),
% 0.19/0.52 inference(monotonicity,[status(thm)],[39, 29])).
% 0.19/0.52 tff(41,plain,
% 0.19/0.52 (select(store(store(a_1848, i31, e31), i1, e1), i1) = select(a_1850, i_1851)),
% 0.19/0.52 inference(symmetry,[status(thm)],[40])).
% 0.19/0.52 tff(42,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E) <=> ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(43,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E) <=> ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(44,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a1')).
% 0.19/0.52 tff(45,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.19/0.52 tff(46,plain,(
% 0.19/0.52 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.19/0.52 inference(skolemize,[status(sab)],[45])).
% 0.19/0.52 tff(47,plain,
% 0.19/0.52 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.19/0.52 tff(48,plain,
% 0.19/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1848, i31, e31), i1, e1), i1) = e1)),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(49,plain,
% 0.19/0.52 (select(store(store(a_1848, i31, e31), i1, e1), i1) = e1),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.19/0.52 tff(50,plain,
% 0.19/0.52 (e1 = select(store(store(a_1848, i31, e31), i1, e1), i1)),
% 0.19/0.52 inference(symmetry,[status(thm)],[49])).
% 0.19/0.52 tff(51,plain,
% 0.19/0.52 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i1, e1), i1) = e1)),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(52,plain,
% 0.19/0.52 (select(store(a1, i1, e1), i1) = e1),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[51, 47])).
% 0.19/0.52 tff(53,plain,
% 0.19/0.52 (select(store(a1, i1, e1), i1) = select(store(a1, i1, e1), sk(a_1800, a_1850))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.52 tff(54,plain,
% 0.19/0.52 (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(store(a1, i1, e1), i1)),
% 0.19/0.52 inference(symmetry,[status(thm)],[53])).
% 0.19/0.52 tff(55,plain,
% 0.19/0.52 ((sk(a_1800, a_1850) = i2) <=> (i2 = sk(a_1800, a_1850))),
% 0.19/0.52 inference(commutativity,[status(thm)],[])).
% 0.19/0.52 tff(56,plain,
% 0.19/0.52 ((i1 = i2) <=> (sk(a_1800, a_1850) = i2)),
% 0.19/0.52 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(57,plain,
% 0.19/0.53 ((i1 = i2) <=> (i2 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[56, 55])).
% 0.19/0.53 tff(58,plain,
% 0.19/0.53 ((~(i1 = i2)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[57])).
% 0.19/0.53 tff(59,plain,
% 0.19/0.53 ((~(i1 = i2)) <=> (~(i1 = i2))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(60,axiom,(~(i1 = i2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1327')).
% 0.19/0.53 tff(61,plain,
% 0.19/0.53 (~(i1 = i2)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.53 tff(62,plain,
% 0.19/0.53 (~(i2 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[61, 58])).
% 0.19/0.53 tff(63,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1800, a_1850)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1800, a_1850)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(64,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1800, a_1850)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(65,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1800, a_1850)) | (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.19/0.53 tff(66,plain,
% 0.19/0.53 (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[65, 17, 62])).
% 0.19/0.53 tff(67,plain,
% 0.19/0.53 ((a_1751 = store(a1, i1, e1)) <=> (a_1751 = store(a1, i1, e1))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(68,axiom,(a_1751 = store(a1, i1, e1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp0')).
% 0.19/0.53 tff(69,plain,
% 0.19/0.53 (a_1751 = store(a1, i1, e1)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.19/0.53 tff(70,plain,
% 0.19/0.53 (store(a1, i1, e1) = a_1751),
% 0.19/0.53 inference(symmetry,[status(thm)],[69])).
% 0.19/0.53 tff(71,plain,
% 0.19/0.53 (store(store(a1, i1, e1), i2, e2) = store(a_1751, i2, e2)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[70])).
% 0.19/0.53 tff(72,plain,
% 0.19/0.53 (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[71])).
% 0.19/0.53 tff(73,plain,
% 0.19/0.53 (select(store(a_1751, i2, e2), sk(a_1800, a_1850)) = select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[72])).
% 0.19/0.53 tff(74,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i3) <=> (i3 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(75,plain,
% 0.19/0.53 ((i1 = i3) <=> (sk(a_1800, a_1850) = i3)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(76,plain,
% 0.19/0.53 ((i1 = i3) <=> (i3 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[75, 74])).
% 0.19/0.53 tff(77,plain,
% 0.19/0.53 ((~(i1 = i3)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[76])).
% 0.19/0.53 tff(78,plain,
% 0.19/0.53 ((~(i1 = i3)) <=> (~(i1 = i3))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(79,axiom,(~(i1 = i3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1326')).
% 0.19/0.53 tff(80,plain,
% 0.19/0.53 (~(i1 = i3)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.19/0.53 tff(81,plain,
% 0.19/0.53 (~(i3 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[80, 77])).
% 0.19/0.53 tff(82,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1800, a_1850)) | (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1800, a_1850)) | (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(83,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1800, a_1850)) | (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(84,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1800, a_1850)) | (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.19/0.53 tff(85,plain,
% 0.19/0.53 (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[84, 17, 81])).
% 0.19/0.53 tff(86,plain,
% 0.19/0.53 ((a_1752 = store(a_1751, i2, e2)) <=> (a_1752 = store(a_1751, i2, e2))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(87,axiom,(a_1752 = store(a_1751, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1')).
% 0.19/0.53 tff(88,plain,
% 0.19/0.53 (a_1752 = store(a_1751, i2, e2)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.19/0.53 tff(89,plain,
% 0.19/0.53 (store(a_1751, i2, e2) = a_1752),
% 0.19/0.53 inference(symmetry,[status(thm)],[88])).
% 0.19/0.53 tff(90,plain,
% 0.19/0.53 (store(store(a_1751, i2, e2), i3, e3) = store(a_1752, i3, e3)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[89])).
% 0.19/0.53 tff(91,plain,
% 0.19/0.53 (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[90])).
% 0.19/0.53 tff(92,plain,
% 0.19/0.53 (select(store(a_1752, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[91])).
% 0.19/0.53 tff(93,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i4) <=> (i4 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(94,plain,
% 0.19/0.53 ((i1 = i4) <=> (sk(a_1800, a_1850) = i4)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(95,plain,
% 0.19/0.53 ((i1 = i4) <=> (i4 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[94, 93])).
% 0.19/0.53 tff(96,plain,
% 0.19/0.53 ((~(i1 = i4)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[95])).
% 0.19/0.53 tff(97,plain,
% 0.19/0.53 ((~(i1 = i4)) <=> (~(i1 = i4))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(98,axiom,(~(i1 = i4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1325')).
% 0.19/0.53 tff(99,plain,
% 0.19/0.53 (~(i1 = i4)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.53 tff(100,plain,
% 0.19/0.53 (~(i4 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[99, 96])).
% 0.19/0.53 tff(101,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1800, a_1850)) | (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1800, a_1850)) | (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(102,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1800, a_1850)) | (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(103,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1800, a_1850)) | (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.19/0.53 tff(104,plain,
% 0.19/0.53 (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[103, 17, 100])).
% 0.19/0.53 tff(105,plain,
% 0.19/0.53 ((a_1753 = store(a_1752, i3, e3)) <=> (a_1753 = store(a_1752, i3, e3))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(106,axiom,(a_1753 = store(a_1752, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp2')).
% 0.19/0.53 tff(107,plain,
% 0.19/0.53 (a_1753 = store(a_1752, i3, e3)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.19/0.53 tff(108,plain,
% 0.19/0.53 (store(a_1752, i3, e3) = a_1753),
% 0.19/0.53 inference(symmetry,[status(thm)],[107])).
% 0.19/0.53 tff(109,plain,
% 0.19/0.53 (store(store(a_1752, i3, e3), i4, e4) = store(a_1753, i4, e4)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[108])).
% 0.19/0.53 tff(110,plain,
% 0.19/0.53 (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[109])).
% 0.19/0.53 tff(111,plain,
% 0.19/0.53 (select(store(a_1753, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[110])).
% 0.19/0.53 tff(112,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i5) <=> (i5 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(113,plain,
% 0.19/0.53 ((i1 = i5) <=> (sk(a_1800, a_1850) = i5)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(114,plain,
% 0.19/0.53 ((i1 = i5) <=> (i5 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[113, 112])).
% 0.19/0.53 tff(115,plain,
% 0.19/0.53 ((~(i1 = i5)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[114])).
% 0.19/0.53 tff(116,plain,
% 0.19/0.53 ((~(i1 = i5)) <=> (~(i1 = i5))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(117,axiom,(~(i1 = i5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1324')).
% 0.19/0.53 tff(118,plain,
% 0.19/0.53 (~(i1 = i5)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.53 tff(119,plain,
% 0.19/0.53 (~(i5 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[118, 115])).
% 0.19/0.53 tff(120,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1800, a_1850)) | (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(121,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(122,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1800, a_1850)) | (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.19/0.53 tff(123,plain,
% 0.19/0.53 (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[122, 17, 119])).
% 0.19/0.53 tff(124,plain,
% 0.19/0.53 ((a_1754 = store(a_1753, i4, e4)) <=> (a_1754 = store(a_1753, i4, e4))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(125,axiom,(a_1754 = store(a_1753, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp3')).
% 0.19/0.53 tff(126,plain,
% 0.19/0.53 (a_1754 = store(a_1753, i4, e4)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.53 tff(127,plain,
% 0.19/0.53 (store(a_1753, i4, e4) = a_1754),
% 0.19/0.53 inference(symmetry,[status(thm)],[126])).
% 0.19/0.53 tff(128,plain,
% 0.19/0.53 (store(store(a_1753, i4, e4), i5, e5) = store(a_1754, i5, e5)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[127])).
% 0.19/0.53 tff(129,plain,
% 0.19/0.53 (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[128])).
% 0.19/0.53 tff(130,plain,
% 0.19/0.53 (select(store(a_1754, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[129])).
% 0.19/0.53 tff(131,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(132,plain,
% 0.19/0.53 ((i1 = i6) <=> (sk(a_1800, a_1850) = i6)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(133,plain,
% 0.19/0.53 ((i1 = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[132, 131])).
% 0.19/0.53 tff(134,plain,
% 0.19/0.53 ((~(i1 = i6)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[133])).
% 0.19/0.53 tff(135,plain,
% 0.19/0.53 ((~(i1 = i6)) <=> (~(i1 = i6))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(136,axiom,(~(i1 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1323')).
% 0.19/0.53 tff(137,plain,
% 0.19/0.53 (~(i1 = i6)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.19/0.53 tff(138,plain,
% 0.19/0.53 (~(i6 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[137, 134])).
% 0.19/0.53 tff(139,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1800, a_1850)) | (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(140,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(141,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1800, a_1850)) | (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.19/0.53 tff(142,plain,
% 0.19/0.53 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[141, 17, 138])).
% 0.19/0.53 tff(143,plain,
% 0.19/0.53 ((a_1755 = store(a_1754, i5, e5)) <=> (a_1755 = store(a_1754, i5, e5))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(144,axiom,(a_1755 = store(a_1754, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp4')).
% 0.19/0.53 tff(145,plain,
% 0.19/0.53 (a_1755 = store(a_1754, i5, e5)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.53 tff(146,plain,
% 0.19/0.53 (store(a_1754, i5, e5) = a_1755),
% 0.19/0.53 inference(symmetry,[status(thm)],[145])).
% 0.19/0.53 tff(147,plain,
% 0.19/0.53 (store(store(a_1754, i5, e5), i6, e6) = store(a_1755, i6, e6)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[146])).
% 0.19/0.53 tff(148,plain,
% 0.19/0.53 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[147])).
% 0.19/0.53 tff(149,plain,
% 0.19/0.53 (select(store(a_1755, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[148])).
% 0.19/0.53 tff(150,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(151,plain,
% 0.19/0.53 ((i1 = i7) <=> (sk(a_1800, a_1850) = i7)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(152,plain,
% 0.19/0.53 ((i1 = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[151, 150])).
% 0.19/0.53 tff(153,plain,
% 0.19/0.53 ((~(i1 = i7)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[152])).
% 0.19/0.53 tff(154,plain,
% 0.19/0.53 ((~(i1 = i7)) <=> (~(i1 = i7))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(155,axiom,(~(i1 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1322')).
% 0.19/0.53 tff(156,plain,
% 0.19/0.53 (~(i1 = i7)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.19/0.53 tff(157,plain,
% 0.19/0.53 (~(i7 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[156, 153])).
% 0.19/0.53 tff(158,plain,
% 0.19/0.53 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1800, a_1850)) | (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(159,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(160,plain,
% 0.19/0.53 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1800, a_1850)) | (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.19/0.53 tff(161,plain,
% 0.19/0.53 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[160, 17, 157])).
% 0.19/0.53 tff(162,plain,
% 0.19/0.53 ((a_1756 = store(a_1755, i6, e6)) <=> (a_1756 = store(a_1755, i6, e6))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(163,axiom,(a_1756 = store(a_1755, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp5')).
% 0.19/0.53 tff(164,plain,
% 0.19/0.53 (a_1756 = store(a_1755, i6, e6)),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.19/0.53 tff(165,plain,
% 0.19/0.53 (store(a_1755, i6, e6) = a_1756),
% 0.19/0.53 inference(symmetry,[status(thm)],[164])).
% 0.19/0.53 tff(166,plain,
% 0.19/0.53 (store(store(a_1755, i6, e6), i7, e7) = store(a_1756, i7, e7)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[165])).
% 0.19/0.53 tff(167,plain,
% 0.19/0.53 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[166])).
% 0.19/0.53 tff(168,plain,
% 0.19/0.53 (select(store(a_1756, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850))),
% 0.19/0.53 inference(symmetry,[status(thm)],[167])).
% 0.19/0.53 tff(169,plain,
% 0.19/0.53 ((sk(a_1800, a_1850) = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(commutativity,[status(thm)],[])).
% 0.19/0.53 tff(170,plain,
% 0.19/0.53 ((i1 = i8) <=> (sk(a_1800, a_1850) = i8)),
% 0.19/0.53 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.53 tff(171,plain,
% 0.19/0.53 ((i1 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.19/0.53 inference(transitivity,[status(thm)],[170, 169])).
% 0.19/0.53 tff(172,plain,
% 0.19/0.53 ((~(i1 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[171])).
% 0.19/0.53 tff(173,plain,
% 0.19/0.53 ((~(i1 = i8)) <=> (~(i1 = i8))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(174,axiom,(~(i1 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1321')).
% 0.19/0.54 tff(175,plain,
% 0.19/0.54 (~(i1 = i8)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.19/0.54 tff(176,plain,
% 0.19/0.54 (~(i8 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[175, 172])).
% 0.19/0.54 tff(177,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1800, a_1850)) | (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(178,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(179,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1800, a_1850)) | (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.19/0.54 tff(180,plain,
% 0.19/0.54 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[179, 17, 176])).
% 0.19/0.54 tff(181,plain,
% 0.19/0.54 ((a_1757 = store(a_1756, i7, e7)) <=> (a_1757 = store(a_1756, i7, e7))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(182,axiom,(a_1757 = store(a_1756, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp6')).
% 0.19/0.54 tff(183,plain,
% 0.19/0.54 (a_1757 = store(a_1756, i7, e7)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.19/0.54 tff(184,plain,
% 0.19/0.54 (store(a_1756, i7, e7) = a_1757),
% 0.19/0.54 inference(symmetry,[status(thm)],[183])).
% 0.19/0.54 tff(185,plain,
% 0.19/0.54 (store(store(a_1756, i7, e7), i8, e8) = store(a_1757, i8, e8)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[184])).
% 0.19/0.54 tff(186,plain,
% 0.19/0.54 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[185])).
% 0.19/0.54 tff(187,plain,
% 0.19/0.54 (select(store(a_1757, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850))),
% 0.19/0.54 inference(symmetry,[status(thm)],[186])).
% 0.19/0.54 tff(188,plain,
% 0.19/0.54 ((sk(a_1800, a_1850) = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(commutativity,[status(thm)],[])).
% 0.19/0.54 tff(189,plain,
% 0.19/0.54 ((i1 = i9) <=> (sk(a_1800, a_1850) = i9)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.54 tff(190,plain,
% 0.19/0.54 ((i1 = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(transitivity,[status(thm)],[189, 188])).
% 0.19/0.54 tff(191,plain,
% 0.19/0.54 ((~(i1 = i9)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[190])).
% 0.19/0.54 tff(192,plain,
% 0.19/0.54 ((~(i1 = i9)) <=> (~(i1 = i9))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(193,axiom,(~(i1 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1320')).
% 0.19/0.54 tff(194,plain,
% 0.19/0.54 (~(i1 = i9)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.19/0.54 tff(195,plain,
% 0.19/0.54 (~(i9 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[194, 191])).
% 0.19/0.54 tff(196,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1800, a_1850)) | (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(197,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(198,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1800, a_1850)) | (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.19/0.54 tff(199,plain,
% 0.19/0.54 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[198, 17, 195])).
% 0.19/0.54 tff(200,plain,
% 0.19/0.54 ((a_1758 = store(a_1757, i8, e8)) <=> (a_1758 = store(a_1757, i8, e8))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(201,axiom,(a_1758 = store(a_1757, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp7')).
% 0.19/0.54 tff(202,plain,
% 0.19/0.54 (a_1758 = store(a_1757, i8, e8)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.19/0.54 tff(203,plain,
% 0.19/0.54 (store(a_1757, i8, e8) = a_1758),
% 0.19/0.54 inference(symmetry,[status(thm)],[202])).
% 0.19/0.54 tff(204,plain,
% 0.19/0.54 (store(store(a_1757, i8, e8), i9, e9) = store(a_1758, i9, e9)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[203])).
% 0.19/0.54 tff(205,plain,
% 0.19/0.54 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[204])).
% 0.19/0.54 tff(206,plain,
% 0.19/0.54 (select(store(a_1758, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850))),
% 0.19/0.54 inference(symmetry,[status(thm)],[205])).
% 0.19/0.54 tff(207,plain,
% 0.19/0.54 ((sk(a_1800, a_1850) = i10) <=> (i10 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(commutativity,[status(thm)],[])).
% 0.19/0.54 tff(208,plain,
% 0.19/0.54 ((i1 = i10) <=> (sk(a_1800, a_1850) = i10)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.54 tff(209,plain,
% 0.19/0.54 ((i1 = i10) <=> (i10 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(transitivity,[status(thm)],[208, 207])).
% 0.19/0.54 tff(210,plain,
% 0.19/0.54 ((~(i1 = i10)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[209])).
% 0.19/0.54 tff(211,plain,
% 0.19/0.54 ((~(i1 = i10)) <=> (~(i1 = i10))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(212,axiom,(~(i1 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1319')).
% 0.19/0.54 tff(213,plain,
% 0.19/0.54 (~(i1 = i10)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.19/0.54 tff(214,plain,
% 0.19/0.54 (~(i10 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[213, 210])).
% 0.19/0.54 tff(215,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1800, a_1850)) | (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(216,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(217,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1800, a_1850)) | (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.19/0.54 tff(218,plain,
% 0.19/0.54 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[217, 17, 214])).
% 0.19/0.54 tff(219,plain,
% 0.19/0.54 ((a_1759 = store(a_1758, i9, e9)) <=> (a_1759 = store(a_1758, i9, e9))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(220,axiom,(a_1759 = store(a_1758, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp8')).
% 0.19/0.54 tff(221,plain,
% 0.19/0.54 (a_1759 = store(a_1758, i9, e9)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.19/0.54 tff(222,plain,
% 0.19/0.54 (store(a_1758, i9, e9) = a_1759),
% 0.19/0.54 inference(symmetry,[status(thm)],[221])).
% 0.19/0.54 tff(223,plain,
% 0.19/0.54 (store(store(a_1758, i9, e9), i10, e10) = store(a_1759, i10, e10)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[222])).
% 0.19/0.54 tff(224,plain,
% 0.19/0.54 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[223])).
% 0.19/0.54 tff(225,plain,
% 0.19/0.54 (select(store(a_1759, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850))),
% 0.19/0.54 inference(symmetry,[status(thm)],[224])).
% 0.19/0.54 tff(226,plain,
% 0.19/0.54 ((sk(a_1800, a_1850) = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(commutativity,[status(thm)],[])).
% 0.19/0.54 tff(227,plain,
% 0.19/0.54 ((i1 = i11) <=> (sk(a_1800, a_1850) = i11)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.54 tff(228,plain,
% 0.19/0.54 ((i1 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(transitivity,[status(thm)],[227, 226])).
% 0.19/0.54 tff(229,plain,
% 0.19/0.54 ((~(i1 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[228])).
% 0.19/0.54 tff(230,plain,
% 0.19/0.54 ((~(i1 = i11)) <=> (~(i1 = i11))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(231,axiom,(~(i1 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1318')).
% 0.19/0.54 tff(232,plain,
% 0.19/0.54 (~(i1 = i11)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.19/0.54 tff(233,plain,
% 0.19/0.54 (~(i11 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[232, 229])).
% 0.19/0.54 tff(234,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1800, a_1850)) | (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(235,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(236,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1800, a_1850)) | (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.19/0.54 tff(237,plain,
% 0.19/0.54 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[236, 17, 233])).
% 0.19/0.54 tff(238,plain,
% 0.19/0.54 ((a_1760 = store(a_1759, i10, e10)) <=> (a_1760 = store(a_1759, i10, e10))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(239,axiom,(a_1760 = store(a_1759, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp9')).
% 0.19/0.54 tff(240,plain,
% 0.19/0.54 (a_1760 = store(a_1759, i10, e10)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.19/0.54 tff(241,plain,
% 0.19/0.54 (store(a_1759, i10, e10) = a_1760),
% 0.19/0.54 inference(symmetry,[status(thm)],[240])).
% 0.19/0.54 tff(242,plain,
% 0.19/0.54 (store(store(a_1759, i10, e10), i11, e11) = store(a_1760, i11, e11)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[241])).
% 0.19/0.54 tff(243,plain,
% 0.19/0.54 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[242])).
% 0.19/0.54 tff(244,plain,
% 0.19/0.54 (select(store(a_1760, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850))),
% 0.19/0.54 inference(symmetry,[status(thm)],[243])).
% 0.19/0.54 tff(245,plain,
% 0.19/0.54 ((sk(a_1800, a_1850) = i12) <=> (i12 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(commutativity,[status(thm)],[])).
% 0.19/0.54 tff(246,plain,
% 0.19/0.54 ((i1 = i12) <=> (sk(a_1800, a_1850) = i12)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.54 tff(247,plain,
% 0.19/0.54 ((i1 = i12) <=> (i12 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(transitivity,[status(thm)],[246, 245])).
% 0.19/0.54 tff(248,plain,
% 0.19/0.54 ((~(i1 = i12)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[247])).
% 0.19/0.54 tff(249,plain,
% 0.19/0.54 ((~(i1 = i12)) <=> (~(i1 = i12))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(250,axiom,(~(i1 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1317')).
% 0.19/0.54 tff(251,plain,
% 0.19/0.54 (~(i1 = i12)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.19/0.54 tff(252,plain,
% 0.19/0.54 (~(i12 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[251, 248])).
% 0.19/0.54 tff(253,assumption,(~(select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.19/0.54 tff(254,assumption,(~(i12 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.19/0.54 tff(255,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1800, a_1850)) | (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(256,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(257,plain,
% 0.19/0.54 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1800, a_1850)) | (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.19/0.54 tff(258,plain,
% 0.19/0.54 ($false),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[257, 17, 254, 253])).
% 0.19/0.54 tff(259,plain,((select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))) | (i12 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.54 tff(260,plain,
% 0.19/0.54 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[259, 252])).
% 0.19/0.54 tff(261,plain,
% 0.19/0.54 ((a_1761 = store(a_1760, i11, e11)) <=> (a_1761 = store(a_1760, i11, e11))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(262,axiom,(a_1761 = store(a_1760, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp10')).
% 0.19/0.54 tff(263,plain,
% 0.19/0.54 (a_1761 = store(a_1760, i11, e11)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.19/0.54 tff(264,plain,
% 0.19/0.54 (store(a_1760, i11, e11) = a_1761),
% 0.19/0.54 inference(symmetry,[status(thm)],[263])).
% 0.19/0.54 tff(265,plain,
% 0.19/0.54 (store(store(a_1760, i11, e11), i12, e12) = store(a_1761, i12, e12)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[264])).
% 0.19/0.54 tff(266,plain,
% 0.19/0.54 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[265])).
% 0.19/0.54 tff(267,plain,
% 0.19/0.54 (select(store(a_1761, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850))),
% 0.19/0.54 inference(symmetry,[status(thm)],[266])).
% 0.19/0.54 tff(268,plain,
% 0.19/0.54 ((sk(a_1800, a_1850) = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(commutativity,[status(thm)],[])).
% 0.19/0.54 tff(269,plain,
% 0.19/0.54 ((i1 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.19/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.54 tff(270,plain,
% 0.19/0.54 ((i1 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(transitivity,[status(thm)],[269, 268])).
% 0.19/0.54 tff(271,plain,
% 0.19/0.54 ((~(i1 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[270])).
% 0.19/0.54 tff(272,plain,
% 0.19/0.54 ((~(i1 = i13)) <=> (~(i1 = i13))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(273,axiom,(~(i1 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1316')).
% 0.19/0.54 tff(274,plain,
% 0.19/0.54 (~(i1 = i13)),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.19/0.54 tff(275,plain,
% 0.19/0.54 (~(i13 = sk(a_1800, a_1850))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[274, 271])).
% 0.19/0.54 tff(276,plain,
% 0.19/0.54 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1800, a_1850)) | (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(277,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(278,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1800, a_1850)) | (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.19/0.55 tff(279,plain,
% 0.19/0.55 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[278, 17, 275])).
% 0.19/0.55 tff(280,plain,
% 0.19/0.55 ((a_1762 = store(a_1761, i12, e12)) <=> (a_1762 = store(a_1761, i12, e12))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(281,axiom,(a_1762 = store(a_1761, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp11')).
% 0.19/0.55 tff(282,plain,
% 0.19/0.55 (a_1762 = store(a_1761, i12, e12)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.19/0.55 tff(283,plain,
% 0.19/0.55 (store(a_1761, i12, e12) = a_1762),
% 0.19/0.55 inference(symmetry,[status(thm)],[282])).
% 0.19/0.55 tff(284,plain,
% 0.19/0.55 (store(store(a_1761, i12, e12), i13, e13) = store(a_1762, i13, e13)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[283])).
% 0.19/0.55 tff(285,plain,
% 0.19/0.55 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[284])).
% 0.19/0.55 tff(286,plain,
% 0.19/0.55 (select(store(a_1762, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850))),
% 0.19/0.55 inference(symmetry,[status(thm)],[285])).
% 0.19/0.55 tff(287,plain,
% 0.19/0.55 ((sk(a_1800, a_1850) = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(commutativity,[status(thm)],[])).
% 0.19/0.55 tff(288,plain,
% 0.19/0.55 ((i1 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.55 tff(289,plain,
% 0.19/0.55 ((i1 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(transitivity,[status(thm)],[288, 287])).
% 0.19/0.55 tff(290,plain,
% 0.19/0.55 ((~(i1 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[289])).
% 0.19/0.55 tff(291,plain,
% 0.19/0.55 ((~(i1 = i14)) <=> (~(i1 = i14))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(292,axiom,(~(i1 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1315')).
% 0.19/0.55 tff(293,plain,
% 0.19/0.55 (~(i1 = i14)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.19/0.55 tff(294,plain,
% 0.19/0.55 (~(i14 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[293, 290])).
% 0.19/0.55 tff(295,plain,
% 0.19/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1800, a_1850)) | (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(296,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(297,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1800, a_1850)) | (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.19/0.55 tff(298,plain,
% 0.19/0.55 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[297, 17, 294])).
% 0.19/0.55 tff(299,plain,
% 0.19/0.55 ((a_1763 = store(a_1762, i13, e13)) <=> (a_1763 = store(a_1762, i13, e13))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(300,axiom,(a_1763 = store(a_1762, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp12')).
% 0.19/0.55 tff(301,plain,
% 0.19/0.55 (a_1763 = store(a_1762, i13, e13)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.19/0.55 tff(302,plain,
% 0.19/0.55 (store(a_1762, i13, e13) = a_1763),
% 0.19/0.55 inference(symmetry,[status(thm)],[301])).
% 0.19/0.55 tff(303,plain,
% 0.19/0.55 (store(store(a_1762, i13, e13), i14, e14) = store(a_1763, i14, e14)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[302])).
% 0.19/0.55 tff(304,plain,
% 0.19/0.55 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[303])).
% 0.19/0.55 tff(305,plain,
% 0.19/0.55 (select(store(a_1763, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850))),
% 0.19/0.55 inference(symmetry,[status(thm)],[304])).
% 0.19/0.55 tff(306,plain,
% 0.19/0.55 ((sk(a_1800, a_1850) = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(commutativity,[status(thm)],[])).
% 0.19/0.55 tff(307,plain,
% 0.19/0.55 ((i1 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.55 tff(308,plain,
% 0.19/0.55 ((i1 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(transitivity,[status(thm)],[307, 306])).
% 0.19/0.55 tff(309,plain,
% 0.19/0.55 ((~(i1 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[308])).
% 0.19/0.55 tff(310,plain,
% 0.19/0.55 ((~(i1 = i15)) <=> (~(i1 = i15))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(311,axiom,(~(i1 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1314')).
% 0.19/0.55 tff(312,plain,
% 0.19/0.55 (~(i1 = i15)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.19/0.55 tff(313,plain,
% 0.19/0.55 (~(i15 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[312, 309])).
% 0.19/0.55 tff(314,plain,
% 0.19/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1800, a_1850)) | (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(315,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(316,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1800, a_1850)) | (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.19/0.55 tff(317,plain,
% 0.19/0.55 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[316, 17, 313])).
% 0.19/0.55 tff(318,plain,
% 0.19/0.55 ((a_1764 = store(a_1763, i14, e14)) <=> (a_1764 = store(a_1763, i14, e14))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(319,axiom,(a_1764 = store(a_1763, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp13')).
% 0.19/0.55 tff(320,plain,
% 0.19/0.55 (a_1764 = store(a_1763, i14, e14)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.19/0.55 tff(321,plain,
% 0.19/0.55 (store(a_1763, i14, e14) = a_1764),
% 0.19/0.55 inference(symmetry,[status(thm)],[320])).
% 0.19/0.55 tff(322,plain,
% 0.19/0.55 (store(store(a_1763, i14, e14), i15, e15) = store(a_1764, i15, e15)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[321])).
% 0.19/0.55 tff(323,plain,
% 0.19/0.55 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[322])).
% 0.19/0.55 tff(324,plain,
% 0.19/0.55 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850))),
% 0.19/0.55 inference(symmetry,[status(thm)],[323])).
% 0.19/0.55 tff(325,plain,
% 0.19/0.55 ((sk(a_1800, a_1850) = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(commutativity,[status(thm)],[])).
% 0.19/0.55 tff(326,plain,
% 0.19/0.55 ((i1 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.55 tff(327,plain,
% 0.19/0.55 ((i1 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(transitivity,[status(thm)],[326, 325])).
% 0.19/0.55 tff(328,plain,
% 0.19/0.55 ((~(i1 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[327])).
% 0.19/0.55 tff(329,plain,
% 0.19/0.55 ((~(i1 = i16)) <=> (~(i1 = i16))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(330,axiom,(~(i1 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1313')).
% 0.19/0.55 tff(331,plain,
% 0.19/0.55 (~(i1 = i16)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.19/0.55 tff(332,plain,
% 0.19/0.55 (~(i16 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[331, 328])).
% 0.19/0.55 tff(333,plain,
% 0.19/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1800, a_1850)) | (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(334,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(335,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1800, a_1850)) | (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.19/0.55 tff(336,plain,
% 0.19/0.55 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[335, 17, 332])).
% 0.19/0.55 tff(337,plain,
% 0.19/0.55 ((a_1765 = store(a_1764, i15, e15)) <=> (a_1765 = store(a_1764, i15, e15))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(338,axiom,(a_1765 = store(a_1764, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp14')).
% 0.19/0.55 tff(339,plain,
% 0.19/0.55 (a_1765 = store(a_1764, i15, e15)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.19/0.55 tff(340,plain,
% 0.19/0.55 (store(a_1764, i15, e15) = a_1765),
% 0.19/0.55 inference(symmetry,[status(thm)],[339])).
% 0.19/0.55 tff(341,plain,
% 0.19/0.55 (store(store(a_1764, i15, e15), i16, e16) = store(a_1765, i16, e16)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[340])).
% 0.19/0.55 tff(342,plain,
% 0.19/0.55 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[341])).
% 0.19/0.55 tff(343,plain,
% 0.19/0.55 (select(store(a_1765, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850))),
% 0.19/0.55 inference(symmetry,[status(thm)],[342])).
% 0.19/0.55 tff(344,plain,
% 0.19/0.55 ((sk(a_1800, a_1850) = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(commutativity,[status(thm)],[])).
% 0.19/0.55 tff(345,plain,
% 0.19/0.55 ((i1 = i17) <=> (sk(a_1800, a_1850) = i17)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.55 tff(346,plain,
% 0.19/0.55 ((i1 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(transitivity,[status(thm)],[345, 344])).
% 0.19/0.55 tff(347,plain,
% 0.19/0.55 ((~(i1 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[346])).
% 0.19/0.55 tff(348,plain,
% 0.19/0.55 ((~(i1 = i17)) <=> (~(i1 = i17))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(349,axiom,(~(i1 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1312')).
% 0.19/0.55 tff(350,plain,
% 0.19/0.55 (~(i1 = i17)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[349, 348])).
% 0.19/0.55 tff(351,plain,
% 0.19/0.55 (~(i17 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[350, 347])).
% 0.19/0.55 tff(352,plain,
% 0.19/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1800, a_1850)) | (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(353,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(354,plain,
% 0.19/0.55 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1800, a_1850)) | (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.19/0.55 tff(355,plain,
% 0.19/0.55 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[354, 17, 351])).
% 0.19/0.55 tff(356,plain,
% 0.19/0.55 ((a_1766 = store(a_1765, i16, e16)) <=> (a_1766 = store(a_1765, i16, e16))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(357,axiom,(a_1766 = store(a_1765, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp15')).
% 0.19/0.55 tff(358,plain,
% 0.19/0.55 (a_1766 = store(a_1765, i16, e16)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.19/0.55 tff(359,plain,
% 0.19/0.55 (store(a_1765, i16, e16) = a_1766),
% 0.19/0.55 inference(symmetry,[status(thm)],[358])).
% 0.19/0.55 tff(360,plain,
% 0.19/0.55 (store(store(a_1765, i16, e16), i17, e17) = store(a_1766, i17, e17)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[359])).
% 0.19/0.55 tff(361,plain,
% 0.19/0.55 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[360])).
% 0.19/0.55 tff(362,plain,
% 0.19/0.55 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850))),
% 0.19/0.55 inference(symmetry,[status(thm)],[361])).
% 0.19/0.55 tff(363,plain,
% 0.19/0.55 ((sk(a_1800, a_1850) = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(commutativity,[status(thm)],[])).
% 0.19/0.55 tff(364,plain,
% 0.19/0.55 ((i1 = i18) <=> (sk(a_1800, a_1850) = i18)),
% 0.19/0.55 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.55 tff(365,plain,
% 0.19/0.55 ((i1 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(transitivity,[status(thm)],[364, 363])).
% 0.19/0.55 tff(366,plain,
% 0.19/0.55 ((~(i1 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[365])).
% 0.19/0.55 tff(367,plain,
% 0.19/0.55 ((~(i1 = i18)) <=> (~(i1 = i18))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(368,axiom,(~(i1 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1311')).
% 0.19/0.55 tff(369,plain,
% 0.19/0.55 (~(i1 = i18)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.19/0.55 tff(370,plain,
% 0.19/0.55 (~(i18 = sk(a_1800, a_1850))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[369, 366])).
% 0.19/0.55 tff(371,plain,
% 0.19/0.55 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1800, a_1850)) | (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(372,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(373,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1800, a_1850)) | (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.19/0.56 tff(374,plain,
% 0.19/0.56 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[373, 17, 370])).
% 0.19/0.56 tff(375,plain,
% 0.19/0.56 ((a_1767 = store(a_1766, i17, e17)) <=> (a_1767 = store(a_1766, i17, e17))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(376,axiom,(a_1767 = store(a_1766, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp16')).
% 0.19/0.56 tff(377,plain,
% 0.19/0.56 (a_1767 = store(a_1766, i17, e17)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.19/0.56 tff(378,plain,
% 0.19/0.56 (store(a_1766, i17, e17) = a_1767),
% 0.19/0.56 inference(symmetry,[status(thm)],[377])).
% 0.19/0.56 tff(379,plain,
% 0.19/0.56 (store(store(a_1766, i17, e17), i18, e18) = store(a_1767, i18, e18)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[378])).
% 0.19/0.56 tff(380,plain,
% 0.19/0.56 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[379])).
% 0.19/0.56 tff(381,plain,
% 0.19/0.56 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[380])).
% 0.19/0.56 tff(382,plain,
% 0.19/0.56 ((sk(a_1800, a_1850) = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(commutativity,[status(thm)],[])).
% 0.19/0.56 tff(383,plain,
% 0.19/0.56 ((i1 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(384,plain,
% 0.19/0.56 ((i1 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[383, 382])).
% 0.19/0.56 tff(385,plain,
% 0.19/0.56 ((~(i1 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[384])).
% 0.19/0.56 tff(386,plain,
% 0.19/0.56 ((~(i1 = i19)) <=> (~(i1 = i19))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(387,axiom,(~(i1 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1310')).
% 0.19/0.56 tff(388,plain,
% 0.19/0.56 (~(i1 = i19)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.19/0.56 tff(389,plain,
% 0.19/0.56 (~(i19 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[388, 385])).
% 0.19/0.56 tff(390,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1800, a_1850)) | (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(391,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(392,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1800, a_1850)) | (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[391, 390])).
% 0.19/0.56 tff(393,plain,
% 0.19/0.56 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[392, 17, 389])).
% 0.19/0.56 tff(394,plain,
% 0.19/0.56 ((a_1768 = store(a_1767, i18, e18)) <=> (a_1768 = store(a_1767, i18, e18))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(395,axiom,(a_1768 = store(a_1767, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp17')).
% 0.19/0.56 tff(396,plain,
% 0.19/0.56 (a_1768 = store(a_1767, i18, e18)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[395, 394])).
% 0.19/0.56 tff(397,plain,
% 0.19/0.56 (store(a_1767, i18, e18) = a_1768),
% 0.19/0.56 inference(symmetry,[status(thm)],[396])).
% 0.19/0.56 tff(398,plain,
% 0.19/0.56 (store(store(a_1767, i18, e18), i19, e19) = store(a_1768, i19, e19)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[397])).
% 0.19/0.56 tff(399,plain,
% 0.19/0.56 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[398])).
% 0.19/0.56 tff(400,plain,
% 0.19/0.56 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[399])).
% 0.19/0.56 tff(401,plain,
% 0.19/0.56 ((sk(a_1800, a_1850) = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(commutativity,[status(thm)],[])).
% 0.19/0.56 tff(402,plain,
% 0.19/0.56 ((i1 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(403,plain,
% 0.19/0.56 ((i1 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[402, 401])).
% 0.19/0.56 tff(404,plain,
% 0.19/0.56 ((~(i1 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[403])).
% 0.19/0.56 tff(405,plain,
% 0.19/0.56 ((~(i1 = i20)) <=> (~(i1 = i20))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(406,axiom,(~(i1 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1309')).
% 0.19/0.56 tff(407,plain,
% 0.19/0.56 (~(i1 = i20)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[406, 405])).
% 0.19/0.56 tff(408,plain,
% 0.19/0.56 (~(i20 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[407, 404])).
% 0.19/0.56 tff(409,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1800, a_1850)) | (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(410,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(411,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1800, a_1850)) | (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.19/0.56 tff(412,plain,
% 0.19/0.56 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[411, 17, 408])).
% 0.19/0.56 tff(413,plain,
% 0.19/0.56 ((a_1769 = store(a_1768, i19, e19)) <=> (a_1769 = store(a_1768, i19, e19))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(414,axiom,(a_1769 = store(a_1768, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp18')).
% 0.19/0.56 tff(415,plain,
% 0.19/0.56 (a_1769 = store(a_1768, i19, e19)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[414, 413])).
% 0.19/0.56 tff(416,plain,
% 0.19/0.56 (store(a_1768, i19, e19) = a_1769),
% 0.19/0.56 inference(symmetry,[status(thm)],[415])).
% 0.19/0.56 tff(417,plain,
% 0.19/0.56 (store(store(a_1768, i19, e19), i20, e20) = store(a_1769, i20, e20)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[416])).
% 0.19/0.56 tff(418,plain,
% 0.19/0.56 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[417])).
% 0.19/0.56 tff(419,plain,
% 0.19/0.56 (select(store(a_1769, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[418])).
% 0.19/0.56 tff(420,plain,
% 0.19/0.56 ((sk(a_1800, a_1850) = i21) <=> (i21 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(commutativity,[status(thm)],[])).
% 0.19/0.56 tff(421,plain,
% 0.19/0.56 ((i1 = i21) <=> (sk(a_1800, a_1850) = i21)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(422,plain,
% 0.19/0.56 ((i1 = i21) <=> (i21 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[421, 420])).
% 0.19/0.56 tff(423,plain,
% 0.19/0.56 ((~(i1 = i21)) <=> (~(i21 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[422])).
% 0.19/0.56 tff(424,plain,
% 0.19/0.56 ((~(i1 = i21)) <=> (~(i1 = i21))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(425,axiom,(~(i1 = i21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1308')).
% 0.19/0.56 tff(426,plain,
% 0.19/0.56 (~(i1 = i21)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.19/0.56 tff(427,plain,
% 0.19/0.56 (~(i21 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[426, 423])).
% 0.19/0.56 tff(428,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1800, a_1850)) | (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1800, a_1850)) | (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(429,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1800, a_1850)) | (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(430,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1800, a_1850)) | (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.19/0.56 tff(431,plain,
% 0.19/0.56 (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[430, 17, 427])).
% 0.19/0.56 tff(432,plain,
% 0.19/0.56 ((a_1770 = store(a_1769, i20, e20)) <=> (a_1770 = store(a_1769, i20, e20))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(433,axiom,(a_1770 = store(a_1769, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp19')).
% 0.19/0.56 tff(434,plain,
% 0.19/0.56 (a_1770 = store(a_1769, i20, e20)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[433, 432])).
% 0.19/0.56 tff(435,plain,
% 0.19/0.56 (store(a_1769, i20, e20) = a_1770),
% 0.19/0.56 inference(symmetry,[status(thm)],[434])).
% 0.19/0.56 tff(436,plain,
% 0.19/0.56 (store(store(a_1769, i20, e20), i21, e21) = store(a_1770, i21, e21)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[435])).
% 0.19/0.56 tff(437,plain,
% 0.19/0.56 (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[436])).
% 0.19/0.56 tff(438,plain,
% 0.19/0.56 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[437])).
% 0.19/0.56 tff(439,plain,
% 0.19/0.56 ((sk(a_1800, a_1850) = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(commutativity,[status(thm)],[])).
% 0.19/0.56 tff(440,plain,
% 0.19/0.56 ((i1 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(441,plain,
% 0.19/0.56 ((i1 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[440, 439])).
% 0.19/0.56 tff(442,plain,
% 0.19/0.56 ((~(i1 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[441])).
% 0.19/0.56 tff(443,plain,
% 0.19/0.56 ((~(i1 = i22)) <=> (~(i1 = i22))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(444,axiom,(~(i1 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1307')).
% 0.19/0.56 tff(445,plain,
% 0.19/0.56 (~(i1 = i22)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.19/0.56 tff(446,plain,
% 0.19/0.56 (~(i22 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[445, 442])).
% 0.19/0.56 tff(447,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1800, a_1850)) | (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(448,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(449,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1800, a_1850)) | (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.19/0.56 tff(450,plain,
% 0.19/0.56 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[449, 17, 446])).
% 0.19/0.56 tff(451,plain,
% 0.19/0.56 ((a_1771 = store(a_1770, i21, e21)) <=> (a_1771 = store(a_1770, i21, e21))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(452,axiom,(a_1771 = store(a_1770, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp20')).
% 0.19/0.56 tff(453,plain,
% 0.19/0.56 (a_1771 = store(a_1770, i21, e21)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[452, 451])).
% 0.19/0.56 tff(454,plain,
% 0.19/0.56 (store(a_1770, i21, e21) = a_1771),
% 0.19/0.56 inference(symmetry,[status(thm)],[453])).
% 0.19/0.56 tff(455,plain,
% 0.19/0.56 (store(store(a_1770, i21, e21), i22, e22) = store(a_1771, i22, e22)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[454])).
% 0.19/0.56 tff(456,plain,
% 0.19/0.56 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[455])).
% 0.19/0.56 tff(457,plain,
% 0.19/0.56 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[456])).
% 0.19/0.56 tff(458,plain,
% 0.19/0.56 ((sk(a_1800, a_1850) = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(commutativity,[status(thm)],[])).
% 0.19/0.56 tff(459,plain,
% 0.19/0.56 ((i1 = i23) <=> (sk(a_1800, a_1850) = i23)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(460,plain,
% 0.19/0.56 ((i1 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[459, 458])).
% 0.19/0.56 tff(461,plain,
% 0.19/0.56 ((~(i1 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[460])).
% 0.19/0.56 tff(462,plain,
% 0.19/0.56 ((~(i1 = i23)) <=> (~(i1 = i23))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(463,axiom,(~(i1 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1306')).
% 0.19/0.56 tff(464,plain,
% 0.19/0.56 (~(i1 = i23)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[463, 462])).
% 0.19/0.56 tff(465,plain,
% 0.19/0.56 (~(i23 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[464, 461])).
% 0.19/0.56 tff(466,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1800, a_1850)) | (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(467,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(468,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1800, a_1850)) | (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[467, 466])).
% 0.19/0.56 tff(469,plain,
% 0.19/0.56 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[468, 17, 465])).
% 0.19/0.56 tff(470,plain,
% 0.19/0.56 ((a_1772 = store(a_1771, i22, e22)) <=> (a_1772 = store(a_1771, i22, e22))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(471,axiom,(a_1772 = store(a_1771, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp21')).
% 0.19/0.56 tff(472,plain,
% 0.19/0.56 (a_1772 = store(a_1771, i22, e22)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.19/0.56 tff(473,plain,
% 0.19/0.56 (store(a_1771, i22, e22) = a_1772),
% 0.19/0.56 inference(symmetry,[status(thm)],[472])).
% 0.19/0.56 tff(474,plain,
% 0.19/0.56 (store(store(a_1771, i22, e22), i23, e23) = store(a_1772, i23, e23)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[473])).
% 0.19/0.56 tff(475,plain,
% 0.19/0.56 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[474])).
% 0.19/0.56 tff(476,plain,
% 0.19/0.56 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.19/0.56 inference(symmetry,[status(thm)],[475])).
% 0.19/0.56 tff(477,plain,
% 0.19/0.56 ((i1 = i24) <=> (sk(a_1800, a_1850) = i24)),
% 0.19/0.56 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.56 tff(478,plain,
% 0.19/0.56 ((i1 = i24) <=> (i24 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(transitivity,[status(thm)],[477, 10])).
% 0.19/0.56 tff(479,plain,
% 0.19/0.56 ((~(i1 = i24)) <=> (~(i24 = sk(a_1800, a_1850)))),
% 0.19/0.56 inference(monotonicity,[status(thm)],[478])).
% 0.19/0.56 tff(480,plain,
% 0.19/0.56 ((~(i1 = i24)) <=> (~(i1 = i24))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(481,axiom,(~(i1 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1305')).
% 0.19/0.56 tff(482,plain,
% 0.19/0.56 (~(i1 = i24)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[481, 480])).
% 0.19/0.56 tff(483,plain,
% 0.19/0.56 (~(i24 = sk(a_1800, a_1850))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[482, 479])).
% 0.19/0.56 tff(484,plain,
% 0.19/0.56 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1800, a_1850)) | (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1800, a_1850)) | (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(485,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1800, a_1850)) | (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(486,plain,
% 0.19/0.56 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1800, a_1850)) | (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[485, 484])).
% 0.19/0.56 tff(487,plain,
% 0.19/0.56 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[486, 17, 483])).
% 0.19/0.56 tff(488,plain,
% 0.19/0.57 ((a_1773 = store(a_1772, i23, e23)) <=> (a_1773 = store(a_1772, i23, e23))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(489,axiom,(a_1773 = store(a_1772, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp22')).
% 0.19/0.57 tff(490,plain,
% 0.19/0.57 (a_1773 = store(a_1772, i23, e23)),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[489, 488])).
% 0.19/0.57 tff(491,plain,
% 0.19/0.57 (store(a_1772, i23, e23) = a_1773),
% 0.19/0.57 inference(symmetry,[status(thm)],[490])).
% 0.19/0.57 tff(492,plain,
% 0.19/0.57 (store(store(a_1772, i23, e23), i24, e24) = store(a_1773, i24, e24)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[491])).
% 0.19/0.57 tff(493,plain,
% 0.19/0.57 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[492])).
% 0.19/0.57 tff(494,plain,
% 0.19/0.57 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.19/0.57 inference(symmetry,[status(thm)],[493])).
% 0.19/0.57 tff(495,plain,
% 0.19/0.57 ((sk(a_1800, a_1850) = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(commutativity,[status(thm)],[])).
% 0.19/0.57 tff(496,plain,
% 0.19/0.57 ((i1 = i25) <=> (sk(a_1800, a_1850) = i25)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.57 tff(497,plain,
% 0.19/0.57 ((i1 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(transitivity,[status(thm)],[496, 495])).
% 0.19/0.57 tff(498,plain,
% 0.19/0.57 ((~(i1 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[497])).
% 0.19/0.57 tff(499,plain,
% 0.19/0.57 ((~(i1 = i25)) <=> (~(i1 = i25))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(500,axiom,(~(i1 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1304')).
% 0.19/0.57 tff(501,plain,
% 0.19/0.57 (~(i1 = i25)),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.19/0.57 tff(502,plain,
% 0.19/0.57 (~(i25 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[501, 498])).
% 0.19/0.57 tff(503,plain,
% 0.19/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1800, a_1850)) | (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(504,plain,
% 0.19/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(505,plain,
% 0.19/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1800, a_1850)) | (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.19/0.57 tff(506,plain,
% 0.19/0.57 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[505, 17, 502])).
% 0.19/0.57 tff(507,plain,
% 0.19/0.57 ((a_1774 = store(a_1773, i24, e24)) <=> (a_1774 = store(a_1773, i24, e24))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(508,axiom,(a_1774 = store(a_1773, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp23')).
% 0.19/0.57 tff(509,plain,
% 0.19/0.57 (a_1774 = store(a_1773, i24, e24)),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.19/0.57 tff(510,plain,
% 0.19/0.57 (store(a_1773, i24, e24) = a_1774),
% 0.19/0.57 inference(symmetry,[status(thm)],[509])).
% 0.19/0.57 tff(511,plain,
% 0.19/0.57 (store(store(a_1773, i24, e24), i25, e25) = store(a_1774, i25, e25)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[510])).
% 0.19/0.57 tff(512,plain,
% 0.19/0.57 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[511])).
% 0.19/0.57 tff(513,plain,
% 0.19/0.57 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.19/0.57 inference(symmetry,[status(thm)],[512])).
% 0.19/0.57 tff(514,plain,
% 0.19/0.57 ((sk(a_1800, a_1850) = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(commutativity,[status(thm)],[])).
% 0.19/0.57 tff(515,plain,
% 0.19/0.57 ((i1 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.57 tff(516,plain,
% 0.19/0.57 ((i1 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(transitivity,[status(thm)],[515, 514])).
% 0.19/0.57 tff(517,plain,
% 0.19/0.57 ((~(i1 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[516])).
% 0.19/0.57 tff(518,plain,
% 0.19/0.57 ((~(i1 = i26)) <=> (~(i1 = i26))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(519,axiom,(~(i1 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1303')).
% 0.19/0.57 tff(520,plain,
% 0.19/0.57 (~(i1 = i26)),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.19/0.57 tff(521,plain,
% 0.19/0.57 (~(i26 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[520, 517])).
% 0.19/0.57 tff(522,plain,
% 0.19/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1800, a_1850)) | (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(523,plain,
% 0.19/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))))),
% 0.19/0.57 inference(quant_inst,[status(thm)],[])).
% 0.19/0.57 tff(524,plain,
% 0.19/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1800, a_1850)) | (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[523, 522])).
% 0.19/0.57 tff(525,plain,
% 0.19/0.57 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.19/0.57 inference(unit_resolution,[status(thm)],[524, 17, 521])).
% 0.19/0.57 tff(526,plain,
% 0.19/0.57 ((a_1775 = store(a_1774, i25, e25)) <=> (a_1775 = store(a_1774, i25, e25))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(527,axiom,(a_1775 = store(a_1774, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp24')).
% 0.19/0.57 tff(528,plain,
% 0.19/0.57 (a_1775 = store(a_1774, i25, e25)),
% 0.19/0.57 inference(modus_ponens,[status(thm)],[527, 526])).
% 0.19/0.57 tff(529,plain,
% 0.19/0.57 (store(a_1774, i25, e25) = a_1775),
% 0.19/0.57 inference(symmetry,[status(thm)],[528])).
% 0.19/0.57 tff(530,plain,
% 0.19/0.57 (store(store(a_1774, i25, e25), i26, e26) = store(a_1775, i26, e26)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[529])).
% 0.19/0.57 tff(531,plain,
% 0.19/0.57 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[530])).
% 0.19/0.57 tff(532,plain,
% 0.19/0.57 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.19/0.57 inference(symmetry,[status(thm)],[531])).
% 0.19/0.57 tff(533,plain,
% 0.19/0.57 ((sk(a_1800, a_1850) = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(commutativity,[status(thm)],[])).
% 0.19/0.57 tff(534,plain,
% 0.19/0.57 ((i1 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.19/0.57 inference(monotonicity,[status(thm)],[27])).
% 0.19/0.57 tff(535,plain,
% 0.19/0.57 ((i1 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.19/0.57 inference(transitivity,[status(thm)],[534, 533])).
% 0.19/0.57 tff(536,plain,
% 0.19/0.57 ((~(i1 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.19/0.57 inference(monotonicity,[status(thm)],[535])).
% 0.19/0.57 tff(537,plain,
% 0.19/0.57 ((~(i1 = i27)) <=> (~(i1 = i27))),
% 0.19/0.57 inference(rewrite,[status(thm)],[])).
% 0.19/0.57 tff(538,axiom,(~(i1 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1302')).
% 0.41/0.57 tff(539,plain,
% 0.41/0.57 (~(i1 = i27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[538, 537])).
% 0.41/0.57 tff(540,plain,
% 0.41/0.57 (~(i27 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[539, 536])).
% 0.41/0.57 tff(541,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1800, a_1850)) | (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(542,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(543,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1800, a_1850)) | (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[542, 541])).
% 0.41/0.57 tff(544,plain,
% 0.41/0.57 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[543, 17, 540])).
% 0.41/0.57 tff(545,plain,
% 0.41/0.57 ((a_1776 = store(a_1775, i26, e26)) <=> (a_1776 = store(a_1775, i26, e26))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(546,axiom,(a_1776 = store(a_1775, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp25')).
% 0.41/0.57 tff(547,plain,
% 0.41/0.57 (a_1776 = store(a_1775, i26, e26)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.41/0.57 tff(548,plain,
% 0.41/0.57 (store(a_1775, i26, e26) = a_1776),
% 0.41/0.57 inference(symmetry,[status(thm)],[547])).
% 0.41/0.57 tff(549,plain,
% 0.41/0.57 (store(store(a_1775, i26, e26), i27, e27) = store(a_1776, i27, e27)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[548])).
% 0.41/0.57 tff(550,plain,
% 0.41/0.57 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[549])).
% 0.41/0.57 tff(551,plain,
% 0.41/0.57 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.41/0.57 inference(symmetry,[status(thm)],[550])).
% 0.41/0.57 tff(552,plain,
% 0.41/0.57 ((sk(a_1800, a_1850) = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(553,plain,
% 0.41/0.57 ((i1 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.57 tff(554,plain,
% 0.41/0.57 ((i1 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(transitivity,[status(thm)],[553, 552])).
% 0.41/0.57 tff(555,plain,
% 0.41/0.57 ((~(i1 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[554])).
% 0.41/0.57 tff(556,plain,
% 0.41/0.57 ((~(i1 = i28)) <=> (~(i1 = i28))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(557,axiom,(~(i1 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1301')).
% 0.41/0.57 tff(558,plain,
% 0.41/0.57 (~(i1 = i28)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.41/0.57 tff(559,plain,
% 0.41/0.57 (~(i28 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[558, 555])).
% 0.41/0.57 tff(560,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1800, a_1850)) | (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(561,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(562,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1800, a_1850)) | (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[561, 560])).
% 0.41/0.57 tff(563,plain,
% 0.41/0.57 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[562, 17, 559])).
% 0.41/0.57 tff(564,plain,
% 0.41/0.57 ((a_1777 = store(a_1776, i27, e27)) <=> (a_1777 = store(a_1776, i27, e27))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(565,axiom,(a_1777 = store(a_1776, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp26')).
% 0.41/0.57 tff(566,plain,
% 0.41/0.57 (a_1777 = store(a_1776, i27, e27)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[565, 564])).
% 0.41/0.57 tff(567,plain,
% 0.41/0.57 (store(a_1776, i27, e27) = a_1777),
% 0.41/0.57 inference(symmetry,[status(thm)],[566])).
% 0.41/0.57 tff(568,plain,
% 0.41/0.57 (store(store(a_1776, i27, e27), i28, e28) = store(a_1777, i28, e28)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[567])).
% 0.41/0.57 tff(569,plain,
% 0.41/0.57 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[568])).
% 0.41/0.57 tff(570,plain,
% 0.41/0.57 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.41/0.57 inference(symmetry,[status(thm)],[569])).
% 0.41/0.57 tff(571,plain,
% 0.41/0.57 ((sk(a_1800, a_1850) = i29) <=> (i29 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(commutativity,[status(thm)],[])).
% 0.41/0.57 tff(572,plain,
% 0.41/0.57 ((i1 = i29) <=> (sk(a_1800, a_1850) = i29)),
% 0.41/0.57 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.57 tff(573,plain,
% 0.41/0.57 ((i1 = i29) <=> (i29 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(transitivity,[status(thm)],[572, 571])).
% 0.41/0.57 tff(574,plain,
% 0.41/0.57 ((~(i1 = i29)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[573])).
% 0.41/0.57 tff(575,plain,
% 0.41/0.57 ((~(i1 = i29)) <=> (~(i1 = i29))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(576,axiom,(~(i1 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1300')).
% 0.41/0.57 tff(577,plain,
% 0.41/0.57 (~(i1 = i29)),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[576, 575])).
% 0.41/0.57 tff(578,plain,
% 0.41/0.57 (~(i29 = sk(a_1800, a_1850))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[577, 574])).
% 0.41/0.57 tff(579,assumption,(~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.41/0.57 tff(580,assumption,(~(i29 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.41/0.57 tff(581,plain,
% 0.41/0.57 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1800, a_1850)) | (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(582,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(583,plain,
% 0.41/0.57 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1800, a_1850)) | (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.41/0.58 tff(584,plain,
% 0.41/0.58 ($false),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[583, 17, 580, 579])).
% 0.41/0.58 tff(585,plain,((select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))) | (i29 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.41/0.58 tff(586,plain,
% 0.41/0.58 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[585, 578])).
% 0.41/0.58 tff(587,plain,
% 0.41/0.58 ((a_1778 = store(a_1777, i28, e28)) <=> (a_1778 = store(a_1777, i28, e28))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(588,axiom,(a_1778 = store(a_1777, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp27')).
% 0.41/0.58 tff(589,plain,
% 0.41/0.58 (a_1778 = store(a_1777, i28, e28)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.41/0.58 tff(590,plain,
% 0.41/0.58 (store(a_1777, i28, e28) = a_1778),
% 0.41/0.58 inference(symmetry,[status(thm)],[589])).
% 0.41/0.58 tff(591,plain,
% 0.41/0.58 (store(store(a_1777, i28, e28), i29, e29) = store(a_1778, i29, e29)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[590])).
% 0.41/0.58 tff(592,plain,
% 0.41/0.58 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[591])).
% 0.41/0.58 tff(593,plain,
% 0.41/0.58 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[592])).
% 0.41/0.58 tff(594,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(595,plain,
% 0.41/0.58 ((i1 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(596,plain,
% 0.41/0.58 ((i1 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[595, 594])).
% 0.41/0.58 tff(597,plain,
% 0.41/0.58 ((~(i1 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[596])).
% 0.41/0.58 tff(598,plain,
% 0.41/0.58 ((~(i1 = i30)) <=> (~(i1 = i30))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(599,axiom,(~(i1 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1299')).
% 0.41/0.58 tff(600,plain,
% 0.41/0.58 (~(i1 = i30)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[599, 598])).
% 0.41/0.58 tff(601,plain,
% 0.41/0.58 (~(i30 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[600, 597])).
% 0.41/0.58 tff(602,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1800, a_1850)) | (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1800, a_1850)) | (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(603,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1800, a_1850)) | (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(604,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1800, a_1850)) | (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[603, 602])).
% 0.41/0.58 tff(605,plain,
% 0.41/0.58 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[604, 17, 601])).
% 0.41/0.58 tff(606,plain,
% 0.41/0.58 ((a_1779 = store(a_1778, i29, e29)) <=> (a_1779 = store(a_1778, i29, e29))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(607,axiom,(a_1779 = store(a_1778, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp28')).
% 0.41/0.58 tff(608,plain,
% 0.41/0.58 (a_1779 = store(a_1778, i29, e29)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[607, 606])).
% 0.41/0.58 tff(609,plain,
% 0.41/0.58 (store(a_1778, i29, e29) = a_1779),
% 0.41/0.58 inference(symmetry,[status(thm)],[608])).
% 0.41/0.58 tff(610,plain,
% 0.41/0.58 (store(store(a_1778, i29, e29), i30, e30) = store(a_1779, i30, e30)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[609])).
% 0.41/0.58 tff(611,plain,
% 0.41/0.58 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[610])).
% 0.41/0.58 tff(612,plain,
% 0.41/0.58 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[611])).
% 0.41/0.58 tff(613,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i31) <=> (i31 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(614,plain,
% 0.41/0.58 ((i1 = i31) <=> (sk(a_1800, a_1850) = i31)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(615,plain,
% 0.41/0.58 ((i1 = i31) <=> (i31 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[614, 613])).
% 0.41/0.58 tff(616,plain,
% 0.41/0.58 ((~(i1 = i31)) <=> (~(i31 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[615])).
% 0.41/0.58 tff(617,plain,
% 0.41/0.58 ((~(i1 = i31)) <=> (~(i1 = i31))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(618,axiom,(~(i1 = i31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1298')).
% 0.41/0.58 tff(619,plain,
% 0.41/0.58 (~(i1 = i31)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[618, 617])).
% 0.41/0.58 tff(620,plain,
% 0.41/0.58 (~(i31 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[619, 616])).
% 0.41/0.58 tff(621,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1800, a_1850)) | (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1800, a_1850)) | (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(622,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1800, a_1850)) | (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(623,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1800, a_1850)) | (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[622, 621])).
% 0.41/0.58 tff(624,plain,
% 0.41/0.58 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[623, 17, 620])).
% 0.41/0.58 tff(625,plain,
% 0.41/0.58 ((a_1780 = store(a_1779, i30, e30)) <=> (a_1780 = store(a_1779, i30, e30))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(626,axiom,(a_1780 = store(a_1779, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp29')).
% 0.41/0.58 tff(627,plain,
% 0.41/0.58 (a_1780 = store(a_1779, i30, e30)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[626, 625])).
% 0.41/0.58 tff(628,plain,
% 0.41/0.58 (store(a_1779, i30, e30) = a_1780),
% 0.41/0.58 inference(symmetry,[status(thm)],[627])).
% 0.41/0.58 tff(629,plain,
% 0.41/0.58 (store(store(a_1779, i30, e30), i31, e31) = store(a_1780, i31, e31)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[628])).
% 0.41/0.58 tff(630,plain,
% 0.41/0.58 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[629])).
% 0.41/0.58 tff(631,plain,
% 0.41/0.58 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[630])).
% 0.41/0.58 tff(632,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i32) <=> (i32 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(633,plain,
% 0.41/0.58 ((i1 = i32) <=> (sk(a_1800, a_1850) = i32)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(634,plain,
% 0.41/0.58 ((i1 = i32) <=> (i32 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[633, 632])).
% 0.41/0.58 tff(635,plain,
% 0.41/0.58 ((~(i1 = i32)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[634])).
% 0.41/0.58 tff(636,plain,
% 0.41/0.58 ((~(i1 = i32)) <=> (~(i1 = i32))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(637,axiom,(~(i1 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1297')).
% 0.41/0.58 tff(638,plain,
% 0.41/0.58 (~(i1 = i32)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[637, 636])).
% 0.41/0.58 tff(639,plain,
% 0.41/0.58 (~(i32 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[638, 635])).
% 0.41/0.58 tff(640,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1800, a_1850)) | (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(641,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(642,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1800, a_1850)) | (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[641, 640])).
% 0.41/0.58 tff(643,plain,
% 0.41/0.58 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[642, 17, 639])).
% 0.41/0.58 tff(644,plain,
% 0.41/0.58 ((a_1781 = store(a_1780, i31, e31)) <=> (a_1781 = store(a_1780, i31, e31))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(645,axiom,(a_1781 = store(a_1780, i31, e31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp30')).
% 0.41/0.58 tff(646,plain,
% 0.41/0.58 (a_1781 = store(a_1780, i31, e31)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[645, 644])).
% 0.41/0.58 tff(647,plain,
% 0.41/0.58 (store(a_1780, i31, e31) = a_1781),
% 0.41/0.58 inference(symmetry,[status(thm)],[646])).
% 0.41/0.58 tff(648,plain,
% 0.41/0.58 (store(store(a_1780, i31, e31), i32, e32) = store(a_1781, i32, e32)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[647])).
% 0.41/0.58 tff(649,plain,
% 0.41/0.58 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[648])).
% 0.41/0.58 tff(650,plain,
% 0.41/0.58 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[649])).
% 0.41/0.58 tff(651,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(652,plain,
% 0.41/0.58 ((i1 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(653,plain,
% 0.41/0.58 ((i1 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[652, 651])).
% 0.41/0.58 tff(654,plain,
% 0.41/0.58 ((~(i1 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[653])).
% 0.41/0.58 tff(655,plain,
% 0.41/0.58 ((~(i1 = i33)) <=> (~(i1 = i33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(656,axiom,(~(i1 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1296')).
% 0.41/0.58 tff(657,plain,
% 0.41/0.58 (~(i1 = i33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[656, 655])).
% 0.41/0.58 tff(658,plain,
% 0.41/0.58 (~(i33 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[657, 654])).
% 0.41/0.58 tff(659,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1800, a_1850)) | (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(660,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(661,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1800, a_1850)) | (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[660, 659])).
% 0.41/0.58 tff(662,plain,
% 0.41/0.58 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[661, 17, 658])).
% 0.41/0.58 tff(663,plain,
% 0.41/0.58 ((a_1782 = store(a_1781, i32, e32)) <=> (a_1782 = store(a_1781, i32, e32))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(664,axiom,(a_1782 = store(a_1781, i32, e32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp31')).
% 0.41/0.58 tff(665,plain,
% 0.41/0.58 (a_1782 = store(a_1781, i32, e32)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[664, 663])).
% 0.41/0.58 tff(666,plain,
% 0.41/0.58 (store(a_1781, i32, e32) = a_1782),
% 0.41/0.58 inference(symmetry,[status(thm)],[665])).
% 0.41/0.58 tff(667,plain,
% 0.41/0.58 (store(store(a_1781, i32, e32), i33, e33) = store(a_1782, i33, e33)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[666])).
% 0.41/0.58 tff(668,plain,
% 0.41/0.58 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[667])).
% 0.41/0.58 tff(669,plain,
% 0.41/0.58 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[668])).
% 0.41/0.58 tff(670,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(671,plain,
% 0.41/0.58 ((i1 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(672,plain,
% 0.41/0.58 ((i1 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[671, 670])).
% 0.41/0.58 tff(673,plain,
% 0.41/0.58 ((~(i1 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[672])).
% 0.41/0.58 tff(674,plain,
% 0.41/0.58 ((~(i1 = i34)) <=> (~(i1 = i34))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(675,axiom,(~(i1 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1295')).
% 0.41/0.58 tff(676,plain,
% 0.41/0.58 (~(i1 = i34)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[675, 674])).
% 0.41/0.58 tff(677,plain,
% 0.41/0.58 (~(i34 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[676, 673])).
% 0.41/0.58 tff(678,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1800, a_1850)) | (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(679,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(680,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1800, a_1850)) | (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[679, 678])).
% 0.41/0.58 tff(681,plain,
% 0.41/0.58 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[680, 17, 677])).
% 0.41/0.58 tff(682,plain,
% 0.41/0.58 ((a_1783 = store(a_1782, i33, e33)) <=> (a_1783 = store(a_1782, i33, e33))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(683,axiom,(a_1783 = store(a_1782, i33, e33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp32')).
% 0.41/0.58 tff(684,plain,
% 0.41/0.58 (a_1783 = store(a_1782, i33, e33)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[683, 682])).
% 0.41/0.58 tff(685,plain,
% 0.41/0.58 (store(a_1782, i33, e33) = a_1783),
% 0.41/0.58 inference(symmetry,[status(thm)],[684])).
% 0.41/0.58 tff(686,plain,
% 0.41/0.58 (store(store(a_1782, i33, e33), i34, e34) = store(a_1783, i34, e34)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[685])).
% 0.41/0.58 tff(687,plain,
% 0.41/0.58 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[686])).
% 0.41/0.58 tff(688,plain,
% 0.41/0.58 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.41/0.58 inference(symmetry,[status(thm)],[687])).
% 0.41/0.58 tff(689,plain,
% 0.41/0.58 ((sk(a_1800, a_1850) = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(commutativity,[status(thm)],[])).
% 0.41/0.58 tff(690,plain,
% 0.41/0.58 ((i1 = i35) <=> (sk(a_1800, a_1850) = i35)),
% 0.41/0.58 inference(monotonicity,[status(thm)],[27])).
% 0.41/0.58 tff(691,plain,
% 0.41/0.58 ((i1 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(transitivity,[status(thm)],[690, 689])).
% 0.41/0.58 tff(692,plain,
% 0.41/0.58 ((~(i1 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[691])).
% 0.41/0.58 tff(693,plain,
% 0.41/0.58 ((~(i1 = i35)) <=> (~(i1 = i35))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(694,axiom,(~(i1 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1294')).
% 0.41/0.58 tff(695,plain,
% 0.41/0.58 (~(i1 = i35)),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[694, 693])).
% 0.41/0.58 tff(696,plain,
% 0.41/0.58 (~(i35 = sk(a_1800, a_1850))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[695, 692])).
% 0.41/0.58 tff(697,plain,
% 0.41/0.58 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1800, a_1850)) | (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(698,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(699,plain,
% 0.41/0.58 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1800, a_1850)) | (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.41/0.58 tff(700,plain,
% 0.41/0.58 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[699, 17, 696])).
% 0.41/0.58 tff(701,plain,
% 0.41/0.58 ((a_1784 = store(a_1783, i34, e34)) <=> (a_1784 = store(a_1783, i34, e34))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(702,axiom,(a_1784 = store(a_1783, i34, e34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp33')).
% 0.41/0.58 tff(703,plain,
% 0.41/0.58 (a_1784 = store(a_1783, i34, e34)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[702, 701])).
% 0.43/0.59 tff(704,plain,
% 0.43/0.59 (store(a_1783, i34, e34) = a_1784),
% 0.43/0.59 inference(symmetry,[status(thm)],[703])).
% 0.43/0.59 tff(705,plain,
% 0.43/0.59 (store(store(a_1783, i34, e34), i35, e35) = store(a_1784, i35, e35)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[704])).
% 0.43/0.59 tff(706,plain,
% 0.43/0.59 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[705])).
% 0.43/0.59 tff(707,plain,
% 0.43/0.59 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.43/0.59 inference(symmetry,[status(thm)],[706])).
% 0.43/0.59 tff(708,plain,
% 0.43/0.59 ((sk(a_1800, a_1850) = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(709,plain,
% 0.43/0.59 ((i1 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.59 tff(710,plain,
% 0.43/0.59 ((i1 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(transitivity,[status(thm)],[709, 708])).
% 0.43/0.59 tff(711,plain,
% 0.43/0.59 ((~(i1 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[710])).
% 0.43/0.59 tff(712,plain,
% 0.43/0.59 ((~(i1 = i36)) <=> (~(i1 = i36))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(713,axiom,(~(i1 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1293')).
% 0.43/0.59 tff(714,plain,
% 0.43/0.59 (~(i1 = i36)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[713, 712])).
% 0.43/0.59 tff(715,plain,
% 0.43/0.59 (~(i36 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[714, 711])).
% 0.43/0.59 tff(716,plain,
% 0.43/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1800, a_1850)) | (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(717,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(718,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1800, a_1850)) | (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.43/0.59 tff(719,plain,
% 0.43/0.59 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[718, 17, 715])).
% 0.43/0.59 tff(720,plain,
% 0.43/0.59 ((a_1785 = store(a_1784, i35, e35)) <=> (a_1785 = store(a_1784, i35, e35))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(721,axiom,(a_1785 = store(a_1784, i35, e35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp34')).
% 0.43/0.59 tff(722,plain,
% 0.43/0.59 (a_1785 = store(a_1784, i35, e35)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[721, 720])).
% 0.43/0.59 tff(723,plain,
% 0.43/0.59 (store(a_1784, i35, e35) = a_1785),
% 0.43/0.59 inference(symmetry,[status(thm)],[722])).
% 0.43/0.59 tff(724,plain,
% 0.43/0.59 (store(store(a_1784, i35, e35), i36, e36) = store(a_1785, i36, e36)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[723])).
% 0.43/0.59 tff(725,plain,
% 0.43/0.59 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[724])).
% 0.43/0.59 tff(726,plain,
% 0.43/0.59 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.43/0.59 inference(symmetry,[status(thm)],[725])).
% 0.43/0.59 tff(727,plain,
% 0.43/0.59 ((sk(a_1800, a_1850) = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(728,plain,
% 0.43/0.59 ((i1 = i37) <=> (sk(a_1800, a_1850) = i37)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.59 tff(729,plain,
% 0.43/0.59 ((i1 = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(transitivity,[status(thm)],[728, 727])).
% 0.43/0.59 tff(730,plain,
% 0.43/0.59 ((~(i1 = i37)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[729])).
% 0.43/0.59 tff(731,plain,
% 0.43/0.59 ((~(i1 = i37)) <=> (~(i1 = i37))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(732,axiom,(~(i1 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1292')).
% 0.43/0.59 tff(733,plain,
% 0.43/0.59 (~(i1 = i37)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[732, 731])).
% 0.43/0.59 tff(734,plain,
% 0.43/0.59 (~(i37 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[733, 730])).
% 0.43/0.59 tff(735,plain,
% 0.43/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1800, a_1850)) | (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(736,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(737,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1800, a_1850)) | (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[736, 735])).
% 0.43/0.59 tff(738,plain,
% 0.43/0.59 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[737, 17, 734])).
% 0.43/0.59 tff(739,plain,
% 0.43/0.59 ((a_1786 = store(a_1785, i36, e36)) <=> (a_1786 = store(a_1785, i36, e36))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(740,axiom,(a_1786 = store(a_1785, i36, e36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp35')).
% 0.43/0.59 tff(741,plain,
% 0.43/0.59 (a_1786 = store(a_1785, i36, e36)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[740, 739])).
% 0.43/0.59 tff(742,plain,
% 0.43/0.59 (store(a_1785, i36, e36) = a_1786),
% 0.43/0.59 inference(symmetry,[status(thm)],[741])).
% 0.43/0.59 tff(743,plain,
% 0.43/0.59 (store(store(a_1785, i36, e36), i37, e37) = store(a_1786, i37, e37)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[742])).
% 0.43/0.59 tff(744,plain,
% 0.43/0.59 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[743])).
% 0.43/0.59 tff(745,plain,
% 0.43/0.59 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.43/0.59 inference(symmetry,[status(thm)],[744])).
% 0.43/0.59 tff(746,plain,
% 0.43/0.59 ((sk(a_1800, a_1850) = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(747,plain,
% 0.43/0.59 ((i1 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.59 tff(748,plain,
% 0.43/0.59 ((i1 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(transitivity,[status(thm)],[747, 746])).
% 0.43/0.59 tff(749,plain,
% 0.43/0.59 ((~(i1 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[748])).
% 0.43/0.59 tff(750,plain,
% 0.43/0.59 ((~(i1 = i38)) <=> (~(i1 = i38))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(751,axiom,(~(i1 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1291')).
% 0.43/0.59 tff(752,plain,
% 0.43/0.59 (~(i1 = i38)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[751, 750])).
% 0.43/0.59 tff(753,plain,
% 0.43/0.59 (~(i38 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[752, 749])).
% 0.43/0.59 tff(754,assumption,(~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.43/0.59 tff(755,assumption,(~(i38 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.43/0.59 tff(756,plain,
% 0.43/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1800, a_1850)) | (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(757,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(758,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1800, a_1850)) | (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[757, 756])).
% 0.43/0.59 tff(759,plain,
% 0.43/0.59 ($false),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[758, 17, 755, 754])).
% 0.43/0.59 tff(760,plain,((select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))) | (i38 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.59 tff(761,plain,
% 0.43/0.59 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[760, 753])).
% 0.43/0.59 tff(762,plain,
% 0.43/0.59 ((a_1787 = store(a_1786, i37, e37)) <=> (a_1787 = store(a_1786, i37, e37))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(763,axiom,(a_1787 = store(a_1786, i37, e37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp36')).
% 0.43/0.59 tff(764,plain,
% 0.43/0.59 (a_1787 = store(a_1786, i37, e37)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[763, 762])).
% 0.43/0.59 tff(765,plain,
% 0.43/0.59 (store(a_1786, i37, e37) = a_1787),
% 0.43/0.59 inference(symmetry,[status(thm)],[764])).
% 0.43/0.59 tff(766,plain,
% 0.43/0.59 (store(store(a_1786, i37, e37), i38, e38) = store(a_1787, i38, e38)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[765])).
% 0.43/0.59 tff(767,plain,
% 0.43/0.59 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[766])).
% 0.43/0.59 tff(768,plain,
% 0.43/0.59 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.43/0.59 inference(symmetry,[status(thm)],[767])).
% 0.43/0.59 tff(769,plain,
% 0.43/0.59 ((sk(a_1800, a_1850) = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(770,plain,
% 0.43/0.59 ((i1 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.59 tff(771,plain,
% 0.43/0.59 ((i1 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(transitivity,[status(thm)],[770, 769])).
% 0.43/0.59 tff(772,plain,
% 0.43/0.59 ((~(i1 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[771])).
% 0.43/0.59 tff(773,plain,
% 0.43/0.59 ((~(i1 = i39)) <=> (~(i1 = i39))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(774,axiom,(~(i1 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1290')).
% 0.43/0.59 tff(775,plain,
% 0.43/0.59 (~(i1 = i39)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[774, 773])).
% 0.43/0.59 tff(776,plain,
% 0.43/0.59 (~(i39 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[775, 772])).
% 0.43/0.59 tff(777,plain,
% 0.43/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1800, a_1850)) | (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(778,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(779,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1800, a_1850)) | (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[778, 777])).
% 0.43/0.59 tff(780,plain,
% 0.43/0.59 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[779, 17, 776])).
% 0.43/0.59 tff(781,plain,
% 0.43/0.59 ((a_1788 = store(a_1787, i38, e38)) <=> (a_1788 = store(a_1787, i38, e38))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(782,axiom,(a_1788 = store(a_1787, i38, e38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp37')).
% 0.43/0.59 tff(783,plain,
% 0.43/0.59 (a_1788 = store(a_1787, i38, e38)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[782, 781])).
% 0.43/0.59 tff(784,plain,
% 0.43/0.59 (store(a_1787, i38, e38) = a_1788),
% 0.43/0.59 inference(symmetry,[status(thm)],[783])).
% 0.43/0.59 tff(785,plain,
% 0.43/0.59 (store(store(a_1787, i38, e38), i39, e39) = store(a_1788, i39, e39)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[784])).
% 0.43/0.59 tff(786,plain,
% 0.43/0.59 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[785])).
% 0.43/0.59 tff(787,plain,
% 0.43/0.59 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.43/0.59 inference(symmetry,[status(thm)],[786])).
% 0.43/0.59 tff(788,plain,
% 0.43/0.59 ((sk(a_1800, a_1850) = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(commutativity,[status(thm)],[])).
% 0.43/0.59 tff(789,plain,
% 0.43/0.59 ((i1 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.59 tff(790,plain,
% 0.43/0.59 ((i1 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(transitivity,[status(thm)],[789, 788])).
% 0.43/0.59 tff(791,plain,
% 0.43/0.59 ((~(i1 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[790])).
% 0.43/0.59 tff(792,plain,
% 0.43/0.59 ((~(i1 = i40)) <=> (~(i1 = i40))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(793,axiom,(~(i1 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1289')).
% 0.43/0.59 tff(794,plain,
% 0.43/0.59 (~(i1 = i40)),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[793, 792])).
% 0.43/0.59 tff(795,plain,
% 0.43/0.59 (~(i40 = sk(a_1800, a_1850))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[794, 791])).
% 0.43/0.59 tff(796,assumption,(~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.43/0.59 tff(797,assumption,(~(i40 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.43/0.59 tff(798,plain,
% 0.43/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(799,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(800,plain,
% 0.43/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[799, 798])).
% 0.43/0.60 tff(801,plain,
% 0.43/0.60 ($false),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[800, 17, 797, 796])).
% 0.43/0.60 tff(802,plain,((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.60 tff(803,plain,
% 0.43/0.60 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[802, 795])).
% 0.43/0.60 tff(804,plain,
% 0.43/0.60 ((a_1789 = store(a_1788, i39, e39)) <=> (a_1789 = store(a_1788, i39, e39))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(805,axiom,(a_1789 = store(a_1788, i39, e39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp38')).
% 0.43/0.60 tff(806,plain,
% 0.43/0.60 (a_1789 = store(a_1788, i39, e39)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[805, 804])).
% 0.43/0.60 tff(807,plain,
% 0.43/0.60 (store(a_1788, i39, e39) = a_1789),
% 0.43/0.60 inference(symmetry,[status(thm)],[806])).
% 0.43/0.60 tff(808,plain,
% 0.43/0.60 (store(store(a_1788, i39, e39), i40, e40) = store(a_1789, i40, e40)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[807])).
% 0.43/0.60 tff(809,plain,
% 0.43/0.60 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[808])).
% 0.43/0.60 tff(810,plain,
% 0.43/0.60 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[809])).
% 0.43/0.60 tff(811,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(812,plain,
% 0.43/0.60 ((i1 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(813,plain,
% 0.43/0.60 ((i1 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[812, 811])).
% 0.43/0.60 tff(814,plain,
% 0.43/0.60 ((~(i1 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[813])).
% 0.43/0.60 tff(815,plain,
% 0.43/0.60 ((~(i1 = i41)) <=> (~(i1 = i41))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(816,axiom,(~(i1 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1288')).
% 0.43/0.60 tff(817,plain,
% 0.43/0.60 (~(i1 = i41)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[816, 815])).
% 0.43/0.60 tff(818,plain,
% 0.43/0.60 (~(i41 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[817, 814])).
% 0.43/0.60 tff(819,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i41 = sk(a_1800, a_1850)) | (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i41 = sk(a_1800, a_1850)) | (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(820,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i41 = sk(a_1800, a_1850)) | (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(821,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i41 = sk(a_1800, a_1850)) | (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[820, 819])).
% 0.43/0.60 tff(822,plain,
% 0.43/0.60 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[821, 17, 818])).
% 0.43/0.60 tff(823,plain,
% 0.43/0.60 ((a_1790 = store(a_1789, i40, e40)) <=> (a_1790 = store(a_1789, i40, e40))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(824,axiom,(a_1790 = store(a_1789, i40, e40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp39')).
% 0.43/0.60 tff(825,plain,
% 0.43/0.60 (a_1790 = store(a_1789, i40, e40)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[824, 823])).
% 0.43/0.60 tff(826,plain,
% 0.43/0.60 (store(a_1789, i40, e40) = a_1790),
% 0.43/0.60 inference(symmetry,[status(thm)],[825])).
% 0.43/0.60 tff(827,plain,
% 0.43/0.60 (store(store(a_1789, i40, e40), i41, e41) = store(a_1790, i41, e41)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[826])).
% 0.43/0.60 tff(828,plain,
% 0.43/0.60 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[827])).
% 0.43/0.60 tff(829,plain,
% 0.43/0.60 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[828])).
% 0.43/0.60 tff(830,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(831,plain,
% 0.43/0.60 ((i1 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(832,plain,
% 0.43/0.60 ((i1 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[831, 830])).
% 0.43/0.60 tff(833,plain,
% 0.43/0.60 ((~(i1 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[832])).
% 0.43/0.60 tff(834,plain,
% 0.43/0.60 ((~(i1 = i42)) <=> (~(i1 = i42))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(835,axiom,(~(i1 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1287')).
% 0.43/0.60 tff(836,plain,
% 0.43/0.60 (~(i1 = i42)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[835, 834])).
% 0.43/0.60 tff(837,plain,
% 0.43/0.60 (~(i42 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[836, 833])).
% 0.43/0.60 tff(838,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i42 = sk(a_1800, a_1850)) | (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(839,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(840,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i42 = sk(a_1800, a_1850)) | (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[839, 838])).
% 0.43/0.60 tff(841,plain,
% 0.43/0.60 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[840, 17, 837])).
% 0.43/0.60 tff(842,plain,
% 0.43/0.60 ((a_1791 = store(a_1790, i41, e41)) <=> (a_1791 = store(a_1790, i41, e41))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(843,axiom,(a_1791 = store(a_1790, i41, e41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp40')).
% 0.43/0.60 tff(844,plain,
% 0.43/0.60 (a_1791 = store(a_1790, i41, e41)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[843, 842])).
% 0.43/0.60 tff(845,plain,
% 0.43/0.60 (store(a_1790, i41, e41) = a_1791),
% 0.43/0.60 inference(symmetry,[status(thm)],[844])).
% 0.43/0.60 tff(846,plain,
% 0.43/0.60 (store(store(a_1790, i41, e41), i42, e42) = store(a_1791, i42, e42)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[845])).
% 0.43/0.60 tff(847,plain,
% 0.43/0.60 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[846])).
% 0.43/0.60 tff(848,plain,
% 0.43/0.60 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[847])).
% 0.43/0.60 tff(849,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(850,plain,
% 0.43/0.60 ((i1 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(851,plain,
% 0.43/0.60 ((i1 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[850, 849])).
% 0.43/0.60 tff(852,plain,
% 0.43/0.60 ((~(i1 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[851])).
% 0.43/0.60 tff(853,plain,
% 0.43/0.60 ((~(i1 = i43)) <=> (~(i1 = i43))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(854,axiom,(~(i1 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1286')).
% 0.43/0.60 tff(855,plain,
% 0.43/0.60 (~(i1 = i43)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[854, 853])).
% 0.43/0.60 tff(856,plain,
% 0.43/0.60 (~(i43 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[855, 852])).
% 0.43/0.60 tff(857,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i43 = sk(a_1800, a_1850)) | (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(858,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(859,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i43 = sk(a_1800, a_1850)) | (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[858, 857])).
% 0.43/0.60 tff(860,plain,
% 0.43/0.60 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[859, 17, 856])).
% 0.43/0.60 tff(861,plain,
% 0.43/0.60 ((a_1792 = store(a_1791, i42, e42)) <=> (a_1792 = store(a_1791, i42, e42))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(862,axiom,(a_1792 = store(a_1791, i42, e42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp41')).
% 0.43/0.60 tff(863,plain,
% 0.43/0.60 (a_1792 = store(a_1791, i42, e42)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[862, 861])).
% 0.43/0.60 tff(864,plain,
% 0.43/0.60 (store(a_1791, i42, e42) = a_1792),
% 0.43/0.60 inference(symmetry,[status(thm)],[863])).
% 0.43/0.60 tff(865,plain,
% 0.43/0.60 (store(store(a_1791, i42, e42), i43, e43) = store(a_1792, i43, e43)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[864])).
% 0.43/0.60 tff(866,plain,
% 0.43/0.60 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[865])).
% 0.43/0.60 tff(867,plain,
% 0.43/0.60 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[866])).
% 0.43/0.60 tff(868,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(869,plain,
% 0.43/0.60 ((i1 = i44) <=> (sk(a_1800, a_1850) = i44)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(870,plain,
% 0.43/0.60 ((i1 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[869, 868])).
% 0.43/0.60 tff(871,plain,
% 0.43/0.60 ((~(i1 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[870])).
% 0.43/0.60 tff(872,plain,
% 0.43/0.60 ((~(i1 = i44)) <=> (~(i1 = i44))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(873,axiom,(~(i1 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1285')).
% 0.43/0.60 tff(874,plain,
% 0.43/0.60 (~(i1 = i44)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[873, 872])).
% 0.43/0.60 tff(875,plain,
% 0.43/0.60 (~(i44 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[874, 871])).
% 0.43/0.60 tff(876,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i44 = sk(a_1800, a_1850)) | (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(877,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(878,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i44 = sk(a_1800, a_1850)) | (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[877, 876])).
% 0.43/0.60 tff(879,plain,
% 0.43/0.60 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[878, 17, 875])).
% 0.43/0.60 tff(880,plain,
% 0.43/0.60 ((a_1793 = store(a_1792, i43, e43)) <=> (a_1793 = store(a_1792, i43, e43))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(881,axiom,(a_1793 = store(a_1792, i43, e43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp42')).
% 0.43/0.60 tff(882,plain,
% 0.43/0.60 (a_1793 = store(a_1792, i43, e43)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[881, 880])).
% 0.43/0.60 tff(883,plain,
% 0.43/0.60 (store(a_1792, i43, e43) = a_1793),
% 0.43/0.60 inference(symmetry,[status(thm)],[882])).
% 0.43/0.60 tff(884,plain,
% 0.43/0.60 (store(store(a_1792, i43, e43), i44, e44) = store(a_1793, i44, e44)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[883])).
% 0.43/0.60 tff(885,plain,
% 0.43/0.60 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[884])).
% 0.43/0.60 tff(886,plain,
% 0.43/0.60 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[885])).
% 0.43/0.60 tff(887,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(888,plain,
% 0.43/0.60 ((i1 = i45) <=> (sk(a_1800, a_1850) = i45)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(889,plain,
% 0.43/0.60 ((i1 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[888, 887])).
% 0.43/0.60 tff(890,plain,
% 0.43/0.60 ((~(i1 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[889])).
% 0.43/0.60 tff(891,plain,
% 0.43/0.60 ((~(i1 = i45)) <=> (~(i1 = i45))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(892,axiom,(~(i1 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1284')).
% 0.43/0.60 tff(893,plain,
% 0.43/0.60 (~(i1 = i45)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[892, 891])).
% 0.43/0.60 tff(894,plain,
% 0.43/0.60 (~(i45 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[893, 890])).
% 0.43/0.60 tff(895,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i45 = sk(a_1800, a_1850)) | (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i45 = sk(a_1800, a_1850)) | (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(896,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i45 = sk(a_1800, a_1850)) | (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(897,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i45 = sk(a_1800, a_1850)) | (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[896, 895])).
% 0.43/0.60 tff(898,plain,
% 0.43/0.60 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[897, 17, 894])).
% 0.43/0.60 tff(899,plain,
% 0.43/0.60 ((a_1794 = store(a_1793, i44, e44)) <=> (a_1794 = store(a_1793, i44, e44))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(900,axiom,(a_1794 = store(a_1793, i44, e44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp43')).
% 0.43/0.60 tff(901,plain,
% 0.43/0.60 (a_1794 = store(a_1793, i44, e44)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[900, 899])).
% 0.43/0.60 tff(902,plain,
% 0.43/0.60 (store(a_1793, i44, e44) = a_1794),
% 0.43/0.60 inference(symmetry,[status(thm)],[901])).
% 0.43/0.60 tff(903,plain,
% 0.43/0.60 (store(store(a_1793, i44, e44), i45, e45) = store(a_1794, i45, e45)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[902])).
% 0.43/0.60 tff(904,plain,
% 0.43/0.60 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[903])).
% 0.43/0.60 tff(905,plain,
% 0.43/0.60 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.43/0.60 inference(symmetry,[status(thm)],[904])).
% 0.43/0.60 tff(906,plain,
% 0.43/0.60 ((sk(a_1800, a_1850) = i46) <=> (i46 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(commutativity,[status(thm)],[])).
% 0.43/0.60 tff(907,plain,
% 0.43/0.60 ((i1 = i46) <=> (sk(a_1800, a_1850) = i46)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.60 tff(908,plain,
% 0.43/0.60 ((i1 = i46) <=> (i46 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(transitivity,[status(thm)],[907, 906])).
% 0.43/0.60 tff(909,plain,
% 0.43/0.60 ((~(i1 = i46)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[908])).
% 0.43/0.60 tff(910,plain,
% 0.43/0.60 ((~(i1 = i46)) <=> (~(i1 = i46))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(911,axiom,(~(i1 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1283')).
% 0.43/0.60 tff(912,plain,
% 0.43/0.60 (~(i1 = i46)),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[911, 910])).
% 0.43/0.60 tff(913,plain,
% 0.43/0.60 (~(i46 = sk(a_1800, a_1850))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[912, 909])).
% 0.43/0.60 tff(914,plain,
% 0.43/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i46 = sk(a_1800, a_1850)) | (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(915,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(916,plain,
% 0.43/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i46 = sk(a_1800, a_1850)) | (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[915, 914])).
% 0.43/0.60 tff(917,plain,
% 0.43/0.60 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[916, 17, 913])).
% 0.43/0.60 tff(918,plain,
% 0.43/0.60 ((a_1795 = store(a_1794, i45, e45)) <=> (a_1795 = store(a_1794, i45, e45))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(919,axiom,(a_1795 = store(a_1794, i45, e45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp44')).
% 0.43/0.61 tff(920,plain,
% 0.43/0.61 (a_1795 = store(a_1794, i45, e45)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[919, 918])).
% 0.43/0.61 tff(921,plain,
% 0.43/0.61 (store(a_1794, i45, e45) = a_1795),
% 0.43/0.61 inference(symmetry,[status(thm)],[920])).
% 0.43/0.61 tff(922,plain,
% 0.43/0.61 (store(store(a_1794, i45, e45), i46, e46) = store(a_1795, i46, e46)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[921])).
% 0.43/0.61 tff(923,plain,
% 0.43/0.61 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[922])).
% 0.43/0.61 tff(924,plain,
% 0.43/0.61 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[923])).
% 0.43/0.61 tff(925,plain,
% 0.43/0.61 ((sk(a_1800, a_1850) = i47) <=> (i47 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(926,plain,
% 0.43/0.61 ((i1 = i47) <=> (sk(a_1800, a_1850) = i47)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.61 tff(927,plain,
% 0.43/0.61 ((i1 = i47) <=> (i47 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(transitivity,[status(thm)],[926, 925])).
% 0.43/0.61 tff(928,plain,
% 0.43/0.61 ((~(i1 = i47)) <=> (~(i47 = sk(a_1800, a_1850)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[927])).
% 0.43/0.61 tff(929,plain,
% 0.43/0.61 ((~(i1 = i47)) <=> (~(i1 = i47))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(930,axiom,(~(i1 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1282')).
% 0.43/0.61 tff(931,plain,
% 0.43/0.61 (~(i1 = i47)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[930, 929])).
% 0.43/0.61 tff(932,plain,
% 0.43/0.61 (~(i47 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[931, 928])).
% 0.43/0.61 tff(933,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i47 = sk(a_1800, a_1850)) | (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(934,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(935,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i47 = sk(a_1800, a_1850)) | (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[934, 933])).
% 0.43/0.61 tff(936,plain,
% 0.43/0.61 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[935, 17, 932])).
% 0.43/0.61 tff(937,plain,
% 0.43/0.61 ((a_1796 = store(a_1795, i46, e46)) <=> (a_1796 = store(a_1795, i46, e46))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(938,axiom,(a_1796 = store(a_1795, i46, e46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp45')).
% 0.43/0.61 tff(939,plain,
% 0.43/0.61 (a_1796 = store(a_1795, i46, e46)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[938, 937])).
% 0.43/0.61 tff(940,plain,
% 0.43/0.61 (store(a_1795, i46, e46) = a_1796),
% 0.43/0.61 inference(symmetry,[status(thm)],[939])).
% 0.43/0.61 tff(941,plain,
% 0.43/0.61 (store(store(a_1795, i46, e46), i47, e47) = store(a_1796, i47, e47)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[940])).
% 0.43/0.61 tff(942,plain,
% 0.43/0.61 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[941])).
% 0.43/0.61 tff(943,plain,
% 0.43/0.61 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[942])).
% 0.43/0.61 tff(944,plain,
% 0.43/0.61 ((sk(a_1800, a_1850) = i48) <=> (i48 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(945,plain,
% 0.43/0.61 ((i1 = i48) <=> (sk(a_1800, a_1850) = i48)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.61 tff(946,plain,
% 0.43/0.61 ((i1 = i48) <=> (i48 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(transitivity,[status(thm)],[945, 944])).
% 0.43/0.61 tff(947,plain,
% 0.43/0.61 ((~(i1 = i48)) <=> (~(i48 = sk(a_1800, a_1850)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[946])).
% 0.43/0.61 tff(948,plain,
% 0.43/0.61 ((~(i1 = i48)) <=> (~(i1 = i48))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(949,axiom,(~(i1 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1281')).
% 0.43/0.61 tff(950,plain,
% 0.43/0.61 (~(i1 = i48)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.43/0.61 tff(951,plain,
% 0.43/0.61 (~(i48 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[950, 947])).
% 0.43/0.61 tff(952,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i48 = sk(a_1800, a_1850)) | (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(953,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(954,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i48 = sk(a_1800, a_1850)) | (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.43/0.61 tff(955,plain,
% 0.43/0.61 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[954, 17, 951])).
% 0.43/0.61 tff(956,plain,
% 0.43/0.61 ((a_1797 = store(a_1796, i47, e47)) <=> (a_1797 = store(a_1796, i47, e47))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(957,axiom,(a_1797 = store(a_1796, i47, e47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp46')).
% 0.43/0.61 tff(958,plain,
% 0.43/0.61 (a_1797 = store(a_1796, i47, e47)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[957, 956])).
% 0.43/0.61 tff(959,plain,
% 0.43/0.61 (store(a_1796, i47, e47) = a_1797),
% 0.43/0.61 inference(symmetry,[status(thm)],[958])).
% 0.43/0.61 tff(960,plain,
% 0.43/0.61 (store(store(a_1796, i47, e47), i48, e48) = store(a_1797, i48, e48)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[959])).
% 0.43/0.61 tff(961,plain,
% 0.43/0.61 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[960])).
% 0.43/0.61 tff(962,plain,
% 0.43/0.61 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[961])).
% 0.43/0.61 tff(963,plain,
% 0.43/0.61 ((sk(a_1800, a_1850) = i49) <=> (i49 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(commutativity,[status(thm)],[])).
% 0.43/0.61 tff(964,plain,
% 0.43/0.61 ((i1 = i49) <=> (sk(a_1800, a_1850) = i49)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[27])).
% 0.43/0.61 tff(965,plain,
% 0.43/0.61 ((i1 = i49) <=> (i49 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(transitivity,[status(thm)],[964, 963])).
% 0.43/0.61 tff(966,plain,
% 0.43/0.61 ((~(i1 = i49)) <=> (~(i49 = sk(a_1800, a_1850)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[965])).
% 0.43/0.61 tff(967,plain,
% 0.43/0.61 ((~(i1 = i49)) <=> (~(i1 = i49))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(968,axiom,(~(i1 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1280')).
% 0.43/0.61 tff(969,plain,
% 0.43/0.61 (~(i1 = i49)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[968, 967])).
% 0.43/0.61 tff(970,plain,
% 0.43/0.61 (~(i49 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[969, 966])).
% 0.43/0.61 tff(971,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i49 = sk(a_1800, a_1850)) | (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i49 = sk(a_1800, a_1850)) | (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(972,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i49 = sk(a_1800, a_1850)) | (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(973,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i49 = sk(a_1800, a_1850)) | (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[972, 971])).
% 0.43/0.61 tff(974,plain,
% 0.43/0.61 ((i49 = sk(a_1800, a_1850)) | (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[973, 17])).
% 0.43/0.61 tff(975,plain,
% 0.43/0.61 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[974, 970])).
% 0.43/0.61 tff(976,plain,
% 0.43/0.61 ((a_1798 = store(a_1797, i48, e48)) <=> (a_1798 = store(a_1797, i48, e48))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(977,axiom,(a_1798 = store(a_1797, i48, e48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp47')).
% 0.43/0.61 tff(978,plain,
% 0.43/0.61 (a_1798 = store(a_1797, i48, e48)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[977, 976])).
% 0.43/0.61 tff(979,plain,
% 0.43/0.61 (store(a_1797, i48, e48) = a_1798),
% 0.43/0.61 inference(symmetry,[status(thm)],[978])).
% 0.43/0.61 tff(980,plain,
% 0.43/0.61 (store(store(a_1797, i48, e48), i49, e49) = store(a_1798, i49, e49)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[979])).
% 0.43/0.61 tff(981,plain,
% 0.43/0.61 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[980])).
% 0.43/0.61 tff(982,plain,
% 0.43/0.61 (select(store(a_1798, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[981])).
% 0.43/0.61 tff(983,assumption,(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))), introduced(assumption)).
% 0.43/0.61 tff(984,plain,
% 0.43/0.61 ((a_1800 = store(a_1799, i50, e50)) <=> (a_1800 = store(a_1799, i50, e50))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(985,axiom,(a_1800 = store(a_1799, i50, e50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp49')).
% 0.43/0.61 tff(986,plain,
% 0.43/0.61 (a_1800 = store(a_1799, i50, e50)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[985, 984])).
% 0.43/0.61 tff(987,plain,
% 0.43/0.61 (store(a_1799, i50, e50) = a_1800),
% 0.43/0.61 inference(symmetry,[status(thm)],[986])).
% 0.43/0.61 tff(988,plain,
% 0.43/0.61 ((a_1799 = store(a_1798, i49, e49)) <=> (a_1799 = store(a_1798, i49, e49))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(989,axiom,(a_1799 = store(a_1798, i49, e49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp48')).
% 0.43/0.61 tff(990,plain,
% 0.43/0.61 (a_1799 = store(a_1798, i49, e49)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[989, 988])).
% 0.43/0.61 tff(991,plain,
% 0.43/0.61 (store(a_1798, i49, e49) = a_1799),
% 0.43/0.61 inference(symmetry,[status(thm)],[990])).
% 0.43/0.61 tff(992,plain,
% 0.43/0.61 (store(store(a_1798, i49, e49), i50, e50) = store(a_1799, i50, e50)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[991])).
% 0.43/0.61 tff(993,plain,
% 0.43/0.61 (store(store(a_1798, i49, e49), i50, e50) = a_1800),
% 0.43/0.61 inference(transitivity,[status(thm)],[992, 987])).
% 0.43/0.61 tff(994,plain,
% 0.43/0.61 (select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(a_1800, i_1851)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[993, 9])).
% 0.43/0.61 tff(995,plain,
% 0.43/0.61 (select(a_1800, i_1851) = select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[994])).
% 0.43/0.61 tff(996,plain,
% 0.43/0.61 (e_1852 = e_1853),
% 0.43/0.61 inference(transitivity,[status(thm)],[4, 995, 983, 982, 975, 962, 955, 943, 936, 924, 917, 905, 898, 886, 879, 867, 860, 848, 841, 829, 822, 810, 803, 787, 780, 768, 761, 745, 738, 726, 719, 707, 700, 688, 681, 669, 662, 650, 643, 631, 624, 612, 605, 593, 586, 570, 563, 551, 544, 532, 525, 513, 506, 494, 487, 476, 469, 457, 450, 438, 431, 419, 412, 400, 393, 381, 374, 362, 355, 343, 336, 324, 317, 305, 298, 286, 279, 267, 260, 244, 237, 225, 218, 206, 199, 187, 180, 168, 161, 149, 142, 130, 123, 111, 104, 92, 85, 73, 66, 54, 52, 50, 41, 26])).
% 0.43/0.61 tff(997,plain,
% 0.43/0.61 ((~(e_1852 = e_1853)) <=> (~(e_1852 = e_1853))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(998,axiom,(~(e_1852 = e_1853)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goal')).
% 0.43/0.61 tff(999,plain,
% 0.43/0.61 (~(e_1852 = e_1853)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[998, 997])).
% 0.43/0.61 tff(1000,plain,
% 0.43/0.61 ($false),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[999, 996])).
% 0.43/0.61 tff(1001,plain,((~(i1 = sk(a_1800, a_1850))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.61 tff(1002,plain,
% 0.43/0.61 (~(i1 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1001, 22])).
% 0.43/0.61 tff(1003,plain,
% 0.43/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1800, a_1850)) | (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1800, a_1850)) | (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1004,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1800, a_1850)) | (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(1005,plain,
% 0.43/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1800, a_1850)) | (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 0.43/0.61 tff(1006,plain,
% 0.43/0.61 ((i1 = sk(a_1800, a_1850)) | (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1005, 17])).
% 0.43/0.61 tff(1007,plain,
% 0.43/0.61 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[1006, 1002])).
% 0.43/0.61 tff(1008,assumption,(i49 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.43/0.61 tff(1009,plain,
% 0.43/0.61 (sk(a_1800, a_1850) = i49),
% 0.43/0.61 inference(symmetry,[status(thm)],[1008])).
% 0.43/0.61 tff(1010,plain,
% 0.43/0.61 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i49)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.61 tff(1011,plain,
% 0.43/0.61 ((i14 = i49) <=> (i14 = sk(a_1800, a_1850))),
% 0.43/0.61 inference(symmetry,[status(thm)],[1010])).
% 0.43/0.61 tff(1012,plain,
% 0.43/0.61 ((~(i14 = i49)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[1011])).
% 0.43/0.61 tff(1013,plain,
% 0.43/0.61 ((~(i14 = i49)) <=> (~(i14 = i49))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(1014,axiom,(~(i14 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp734')).
% 0.43/0.61 tff(1015,plain,
% 0.43/0.61 (~(i14 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 0.43/0.62 tff(1016,plain,
% 0.43/0.62 (~(i14 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1015, 1012])).
% 0.43/0.62 tff(1017,plain,
% 0.43/0.62 (select(store(a_1798, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[22])).
% 0.43/0.62 tff(1018,plain,
% 0.43/0.62 (select(store(store(a_1797, i48, e48), i49, e49), i49) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[980, 1008])).
% 0.43/0.62 tff(1019,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1797, i48, e48), i49, e49), i49) = e49)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1020,plain,
% 0.43/0.62 (select(store(store(a_1797, i48, e48), i49, e49), i49) = e49),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1019, 47])).
% 0.43/0.62 tff(1021,plain,
% 0.43/0.62 (e49 = select(store(store(a_1797, i48, e48), i49, e49), i49)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1020])).
% 0.43/0.62 tff(1022,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1811, i8, e8), i49, e49), i49) = e49)),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1023,plain,
% 0.43/0.62 (select(store(store(a_1811, i8, e8), i49, e49), i49) = e49),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1022, 47])).
% 0.43/0.62 tff(1024,plain,
% 0.43/0.62 ((a_1812 = store(a_1811, i8, e8)) <=> (a_1812 = store(a_1811, i8, e8))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1025,axiom,(a_1812 = store(a_1811, i8, e8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp61')).
% 0.43/0.62 tff(1026,plain,
% 0.43/0.62 (a_1812 = store(a_1811, i8, e8)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 0.43/0.62 tff(1027,plain,
% 0.43/0.62 (store(a_1811, i8, e8) = a_1812),
% 0.43/0.62 inference(symmetry,[status(thm)],[1026])).
% 0.43/0.62 tff(1028,plain,
% 0.43/0.62 (store(store(a_1811, i8, e8), i49, e49) = store(a_1812, i49, e49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1027])).
% 0.43/0.62 tff(1029,plain,
% 0.43/0.62 (store(a_1812, i49, e49) = store(store(a_1811, i8, e8), i49, e49)),
% 0.43/0.62 inference(symmetry,[status(thm)],[1028])).
% 0.43/0.62 tff(1030,plain,
% 0.43/0.62 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), i49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1029, 1009])).
% 0.43/0.62 tff(1031,plain,
% 0.43/0.62 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = e_1852),
% 0.43/0.62 inference(transitivity,[status(thm)],[1030, 1023, 1021, 1018, 1017, 994, 5])).
% 0.43/0.62 tff(1032,plain,
% 0.43/0.62 (store(a_1849, i1, e1) = a_1850),
% 0.43/0.62 inference(symmetry,[status(thm)],[38])).
% 0.43/0.62 tff(1033,plain,
% 0.43/0.62 (store(store(a_1848, i31, e31), i1, e1) = a_1850),
% 0.43/0.62 inference(transitivity,[status(thm)],[34, 1032])).
% 0.43/0.62 tff(1034,plain,
% 0.43/0.62 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(a_1850, i_1851)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1033, 9])).
% 0.43/0.62 tff(1035,assumption,(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))), introduced(assumption)).
% 0.43/0.62 tff(1036,plain,
% 0.43/0.62 (select(store(a_1848, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1035])).
% 0.43/0.62 tff(1037,plain,
% 0.43/0.62 ((a_1848 = store(a_1847, i21, e21)) <=> (a_1848 = store(a_1847, i21, e21))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1038,axiom,(a_1848 = store(a_1847, i21, e21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp97')).
% 0.43/0.62 tff(1039,plain,
% 0.43/0.62 (a_1848 = store(a_1847, i21, e21)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 0.43/0.62 tff(1040,plain,
% 0.43/0.62 (store(a_1847, i21, e21) = a_1848),
% 0.43/0.62 inference(symmetry,[status(thm)],[1039])).
% 0.43/0.62 tff(1041,plain,
% 0.43/0.62 (store(store(a_1847, i21, e21), i31, e31) = store(a_1848, i31, e31)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1040])).
% 0.43/0.62 tff(1042,plain,
% 0.43/0.62 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1041])).
% 0.43/0.62 tff(1043,plain,
% 0.43/0.62 ((i31 = i49) <=> (i31 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1008])).
% 0.43/0.62 tff(1044,plain,
% 0.43/0.62 ((~(i31 = i49)) <=> (~(i31 = sk(a_1800, a_1850)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1043])).
% 0.43/0.62 tff(1045,plain,
% 0.43/0.62 ((~(i31 = i49)) <=> (~(i31 = i49))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1046,axiom,(~(i31 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp275')).
% 0.43/0.62 tff(1047,plain,
% 0.43/0.62 (~(i31 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 0.43/0.62 tff(1048,plain,
% 0.43/0.62 (~(i31 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1047, 1044])).
% 0.43/0.62 tff(1049,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1800, a_1850)) | (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1800, a_1850)) | (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1050,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i31 = sk(a_1800, a_1850)) | (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1051,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i31 = sk(a_1800, a_1850)) | (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 0.43/0.62 tff(1052,plain,
% 0.43/0.62 ((i31 = sk(a_1800, a_1850)) | (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1051, 17])).
% 0.43/0.62 tff(1053,plain,
% 0.43/0.62 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1052, 1048])).
% 0.43/0.62 tff(1054,plain,
% 0.43/0.62 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1053])).
% 0.43/0.62 tff(1055,plain,
% 0.43/0.62 ((a_1847 = store(a_1846, i24, e24)) <=> (a_1847 = store(a_1846, i24, e24))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1056,axiom,(a_1847 = store(a_1846, i24, e24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp96')).
% 0.43/0.62 tff(1057,plain,
% 0.43/0.62 (a_1847 = store(a_1846, i24, e24)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 0.43/0.62 tff(1058,plain,
% 0.43/0.62 (store(a_1846, i24, e24) = a_1847),
% 0.43/0.62 inference(symmetry,[status(thm)],[1057])).
% 0.43/0.62 tff(1059,plain,
% 0.43/0.62 (store(store(a_1846, i24, e24), i21, e21) = store(a_1847, i21, e21)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1058])).
% 0.43/0.62 tff(1060,plain,
% 0.43/0.62 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1059])).
% 0.43/0.62 tff(1061,plain,
% 0.43/0.62 ((i21 = sk(a_1800, a_1850)) <=> (i21 = i49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.62 tff(1062,plain,
% 0.43/0.62 ((i21 = i49) <=> (i21 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1061])).
% 0.43/0.62 tff(1063,plain,
% 0.43/0.62 ((~(i21 = i49)) <=> (~(i21 = sk(a_1800, a_1850)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1062])).
% 0.43/0.62 tff(1064,plain,
% 0.43/0.62 ((~(i21 = i49)) <=> (~(i21 = i49))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1065,axiom,(~(i21 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp510')).
% 0.43/0.62 tff(1066,plain,
% 0.43/0.62 (~(i21 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.43/0.62 tff(1067,plain,
% 0.43/0.62 (~(i21 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1066, 1063])).
% 0.43/0.62 tff(1068,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1800, a_1850)) | (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1800, a_1850)) | (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1069,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i21 = sk(a_1800, a_1850)) | (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1070,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i21 = sk(a_1800, a_1850)) | (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 0.43/0.62 tff(1071,plain,
% 0.43/0.62 ((i21 = sk(a_1800, a_1850)) | (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1070, 17])).
% 0.43/0.62 tff(1072,plain,
% 0.43/0.62 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1071, 1067])).
% 0.43/0.62 tff(1073,plain,
% 0.43/0.62 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1072])).
% 0.43/0.62 tff(1074,plain,
% 0.43/0.62 ((a_1846 = store(a_1845, i4, e4)) <=> (a_1846 = store(a_1845, i4, e4))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1075,axiom,(a_1846 = store(a_1845, i4, e4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp95')).
% 0.43/0.62 tff(1076,plain,
% 0.43/0.62 (a_1846 = store(a_1845, i4, e4)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 0.43/0.62 tff(1077,plain,
% 0.43/0.62 (store(a_1845, i4, e4) = a_1846),
% 0.43/0.62 inference(symmetry,[status(thm)],[1076])).
% 0.43/0.62 tff(1078,plain,
% 0.43/0.62 (store(store(a_1845, i4, e4), i24, e24) = store(a_1846, i24, e24)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1077])).
% 0.43/0.62 tff(1079,plain,
% 0.43/0.62 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1078])).
% 0.43/0.62 tff(1080,plain,
% 0.43/0.62 ((i24 = sk(a_1800, a_1850)) <=> (i24 = i49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.62 tff(1081,plain,
% 0.43/0.62 ((i24 = i49) <=> (i24 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1080])).
% 0.43/0.62 tff(1082,plain,
% 0.43/0.62 ((~(i24 = i49)) <=> (~(i24 = sk(a_1800, a_1850)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1081])).
% 0.43/0.62 tff(1083,plain,
% 0.43/0.62 ((~(i24 = i49)) <=> (~(i24 = i49))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1084,axiom,(~(i24 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp429')).
% 0.43/0.62 tff(1085,plain,
% 0.43/0.62 (~(i24 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 0.43/0.62 tff(1086,plain,
% 0.43/0.62 (~(i24 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1085, 1082])).
% 0.43/0.62 tff(1087,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1800, a_1850)) | (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1800, a_1850)) | (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1088,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i24 = sk(a_1800, a_1850)) | (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1089,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i24 = sk(a_1800, a_1850)) | (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1088, 1087])).
% 0.43/0.62 tff(1090,plain,
% 0.43/0.62 ((i24 = sk(a_1800, a_1850)) | (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1089, 17])).
% 0.43/0.62 tff(1091,plain,
% 0.43/0.62 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1090, 1086])).
% 0.43/0.62 tff(1092,plain,
% 0.43/0.62 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1091])).
% 0.43/0.62 tff(1093,plain,
% 0.43/0.62 ((a_1845 = store(a_1844, i32, e32)) <=> (a_1845 = store(a_1844, i32, e32))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1094,axiom,(a_1845 = store(a_1844, i32, e32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp94')).
% 0.43/0.62 tff(1095,plain,
% 0.43/0.62 (a_1845 = store(a_1844, i32, e32)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 0.43/0.62 tff(1096,plain,
% 0.43/0.62 (store(a_1844, i32, e32) = a_1845),
% 0.43/0.62 inference(symmetry,[status(thm)],[1095])).
% 0.43/0.62 tff(1097,plain,
% 0.43/0.62 (store(store(a_1844, i32, e32), i4, e4) = store(a_1845, i4, e4)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1096])).
% 0.43/0.62 tff(1098,plain,
% 0.43/0.62 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1097])).
% 0.43/0.62 tff(1099,plain,
% 0.43/0.62 ((i4 = sk(a_1800, a_1850)) <=> (i4 = i49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.62 tff(1100,plain,
% 0.43/0.62 ((i4 = i49) <=> (i4 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1099])).
% 0.43/0.62 tff(1101,plain,
% 0.43/0.62 ((~(i4 = i49)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1100])).
% 0.43/0.62 tff(1102,plain,
% 0.43/0.62 ((~(i4 = i49)) <=> (~(i4 = i49))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1103,axiom,(~(i4 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1139')).
% 0.43/0.62 tff(1104,plain,
% 0.43/0.62 (~(i4 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 0.43/0.62 tff(1105,plain,
% 0.43/0.62 (~(i4 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1104, 1101])).
% 0.43/0.62 tff(1106,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1800, a_1850)) | (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1800, a_1850)) | (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1107,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i4 = sk(a_1800, a_1850)) | (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1108,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i4 = sk(a_1800, a_1850)) | (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 0.43/0.62 tff(1109,plain,
% 0.43/0.62 ((i4 = sk(a_1800, a_1850)) | (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1108, 17])).
% 0.43/0.62 tff(1110,plain,
% 0.43/0.62 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1109, 1105])).
% 0.43/0.62 tff(1111,plain,
% 0.43/0.62 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1110])).
% 0.43/0.62 tff(1112,plain,
% 0.43/0.62 ((a_1844 = store(a_1843, i5, e5)) <=> (a_1844 = store(a_1843, i5, e5))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1113,axiom,(a_1844 = store(a_1843, i5, e5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp93')).
% 0.43/0.62 tff(1114,plain,
% 0.43/0.62 (a_1844 = store(a_1843, i5, e5)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 0.43/0.62 tff(1115,plain,
% 0.43/0.62 (store(a_1843, i5, e5) = a_1844),
% 0.43/0.62 inference(symmetry,[status(thm)],[1114])).
% 0.43/0.62 tff(1116,plain,
% 0.43/0.62 (store(store(a_1843, i5, e5), i32, e32) = store(a_1844, i32, e32)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1115])).
% 0.43/0.62 tff(1117,plain,
% 0.43/0.62 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1116])).
% 0.43/0.62 tff(1118,plain,
% 0.43/0.62 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i49)),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.62 tff(1119,plain,
% 0.43/0.62 ((i32 = i49) <=> (i32 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1118])).
% 0.43/0.62 tff(1120,plain,
% 0.43/0.62 ((~(i32 = i49)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[1119])).
% 0.43/0.62 tff(1121,plain,
% 0.43/0.62 ((~(i32 = i49)) <=> (~(i32 = i49))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1122,axiom,(~(i32 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp257')).
% 0.43/0.62 tff(1123,plain,
% 0.43/0.62 (~(i32 = i49)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 0.43/0.62 tff(1124,plain,
% 0.43/0.62 (~(i32 = sk(a_1800, a_1850))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1123, 1120])).
% 0.43/0.62 tff(1125,plain,
% 0.43/0.62 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1800, a_1850)) | (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1126,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))))),
% 0.43/0.62 inference(quant_inst,[status(thm)],[])).
% 0.43/0.62 tff(1127,plain,
% 0.43/0.62 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i32 = sk(a_1800, a_1850)) | (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 0.43/0.62 tff(1128,plain,
% 0.43/0.62 ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1127, 17])).
% 0.43/0.62 tff(1129,plain,
% 0.43/0.62 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.43/0.62 inference(unit_resolution,[status(thm)],[1128, 1124])).
% 0.43/0.62 tff(1130,plain,
% 0.43/0.62 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.43/0.62 inference(symmetry,[status(thm)],[1129])).
% 0.43/0.62 tff(1131,plain,
% 0.43/0.62 ((a_1843 = store(a_1842, i12, e12)) <=> (a_1843 = store(a_1842, i12, e12))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(1132,axiom,(a_1843 = store(a_1842, i12, e12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp92')).
% 0.43/0.62 tff(1133,plain,
% 0.43/0.62 (a_1843 = store(a_1842, i12, e12)),
% 0.43/0.62 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 0.43/0.62 tff(1134,plain,
% 0.43/0.62 (store(a_1842, i12, e12) = a_1843),
% 0.43/0.62 inference(symmetry,[status(thm)],[1133])).
% 0.43/0.62 tff(1135,plain,
% 0.43/0.63 (store(store(a_1842, i12, e12), i5, e5) = store(a_1843, i5, e5)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1134])).
% 0.43/0.63 tff(1136,plain,
% 0.43/0.63 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1135])).
% 0.43/0.63 tff(1137,plain,
% 0.43/0.63 ((i5 = sk(a_1800, a_1850)) <=> (i5 = i49)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.63 tff(1138,plain,
% 0.43/0.63 ((i5 = i49) <=> (i5 = sk(a_1800, a_1850))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1137])).
% 0.43/0.63 tff(1139,plain,
% 0.43/0.63 ((~(i5 = i49)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1138])).
% 0.43/0.63 tff(1140,plain,
% 0.43/0.63 ((~(i5 = i49)) <=> (~(i5 = i49))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1141,axiom,(~(i5 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1094')).
% 0.43/0.63 tff(1142,plain,
% 0.43/0.63 (~(i5 = i49)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 0.43/0.63 tff(1143,plain,
% 0.43/0.63 (~(i5 = sk(a_1800, a_1850))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1142, 1139])).
% 0.43/0.63 tff(1144,plain,
% 0.43/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1800, a_1850)) | (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1145,plain,
% 0.43/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))))),
% 0.43/0.63 inference(quant_inst,[status(thm)],[])).
% 0.43/0.63 tff(1146,plain,
% 0.43/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = sk(a_1800, a_1850)) | (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 0.43/0.63 tff(1147,plain,
% 0.43/0.63 ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1146, 17])).
% 0.43/0.63 tff(1148,plain,
% 0.43/0.63 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.43/0.63 inference(unit_resolution,[status(thm)],[1147, 1143])).
% 0.43/0.63 tff(1149,plain,
% 0.43/0.63 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1148])).
% 0.43/0.63 tff(1150,plain,
% 0.43/0.63 ((a_1842 = store(a_1841, i37, e37)) <=> (a_1842 = store(a_1841, i37, e37))),
% 0.43/0.63 inference(rewrite,[status(thm)],[])).
% 0.43/0.63 tff(1151,axiom,(a_1842 = store(a_1841, i37, e37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp91')).
% 0.43/0.63 tff(1152,plain,
% 0.43/0.63 (a_1842 = store(a_1841, i37, e37)),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 0.43/0.63 tff(1153,plain,
% 0.43/0.63 (store(a_1841, i37, e37) = a_1842),
% 0.43/0.63 inference(symmetry,[status(thm)],[1152])).
% 0.43/0.63 tff(1154,plain,
% 0.43/0.63 (store(store(a_1841, i37, e37), i12, e12) = store(a_1842, i12, e12)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1153])).
% 0.43/0.63 tff(1155,plain,
% 0.43/0.63 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1154])).
% 0.43/0.63 tff(1156,plain,
% 0.43/0.63 ((i12 = sk(a_1800, a_1850)) <=> (i12 = i49)),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1009])).
% 0.43/0.63 tff(1157,plain,
% 0.43/0.63 ((i12 = i49) <=> (i12 = sk(a_1800, a_1850))),
% 0.43/0.63 inference(symmetry,[status(thm)],[1156])).
% 0.43/0.63 tff(1158,plain,
% 0.43/0.63 ((~(i12 = i49)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.43/0.63 inference(monotonicity,[status(thm)],[1157])).
% 0.43/0.63 tff(1159,plain,
% 0.43/0.63 ((~(i12 = i49)) <=> (~(i12 = i49))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1160,axiom,(~(i12 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp807')).
% 0.47/0.63 tff(1161,plain,
% 0.47/0.63 (~(i12 = i49)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1160, 1159])).
% 0.47/0.63 tff(1162,plain,
% 0.47/0.63 (~(i12 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1161, 1158])).
% 0.47/0.63 tff(1163,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1800, a_1850)) | (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1164,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1165,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i12 = sk(a_1800, a_1850)) | (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 0.47/0.63 tff(1166,plain,
% 0.47/0.63 ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1165, 17])).
% 0.47/0.63 tff(1167,plain,
% 0.47/0.63 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1166, 1162])).
% 0.47/0.63 tff(1168,plain,
% 0.47/0.63 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1167])).
% 0.47/0.63 tff(1169,plain,
% 0.47/0.63 ((a_1841 = store(a_1840, i3, e3)) <=> (a_1841 = store(a_1840, i3, e3))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1170,axiom,(a_1841 = store(a_1840, i3, e3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp90')).
% 0.47/0.63 tff(1171,plain,
% 0.47/0.63 (a_1841 = store(a_1840, i3, e3)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 0.47/0.63 tff(1172,plain,
% 0.47/0.63 (store(a_1840, i3, e3) = a_1841),
% 0.47/0.63 inference(symmetry,[status(thm)],[1171])).
% 0.47/0.63 tff(1173,plain,
% 0.47/0.63 (store(store(a_1840, i3, e3), i37, e37) = store(a_1841, i37, e37)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1172])).
% 0.47/0.63 tff(1174,plain,
% 0.47/0.63 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1173])).
% 0.47/0.63 tff(1175,plain,
% 0.47/0.63 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i49)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1009])).
% 0.47/0.63 tff(1176,plain,
% 0.47/0.63 ((i37 = i49) <=> (i37 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1175])).
% 0.47/0.63 tff(1177,plain,
% 0.47/0.63 ((~(i37 = i49)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1176])).
% 0.47/0.63 tff(1178,plain,
% 0.47/0.63 ((~(i37 = i49)) <=> (~(i37 = i49))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1179,axiom,(~(i37 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp182')).
% 0.47/0.63 tff(1180,plain,
% 0.47/0.63 (~(i37 = i49)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 0.47/0.63 tff(1181,plain,
% 0.47/0.63 (~(i37 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1180, 1177])).
% 0.47/0.63 tff(1182,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1800, a_1850)) | (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1183,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1184,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i37 = sk(a_1800, a_1850)) | (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 0.47/0.63 tff(1185,plain,
% 0.47/0.63 ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1184, 17])).
% 0.47/0.63 tff(1186,plain,
% 0.47/0.63 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1185, 1181])).
% 0.47/0.63 tff(1187,plain,
% 0.47/0.63 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1186])).
% 0.47/0.63 tff(1188,plain,
% 0.47/0.63 ((a_1840 = store(a_1839, i29, e29)) <=> (a_1840 = store(a_1839, i29, e29))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1189,axiom,(a_1840 = store(a_1839, i29, e29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp89')).
% 0.47/0.63 tff(1190,plain,
% 0.47/0.63 (a_1840 = store(a_1839, i29, e29)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 0.47/0.63 tff(1191,plain,
% 0.47/0.63 (store(a_1839, i29, e29) = a_1840),
% 0.47/0.63 inference(symmetry,[status(thm)],[1190])).
% 0.47/0.63 tff(1192,plain,
% 0.47/0.63 (store(store(a_1839, i29, e29), i3, e3) = store(a_1840, i3, e3)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1191])).
% 0.47/0.63 tff(1193,plain,
% 0.47/0.63 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1192])).
% 0.47/0.63 tff(1194,plain,
% 0.47/0.63 ((i3 = sk(a_1800, a_1850)) <=> (i3 = i49)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1009])).
% 0.47/0.63 tff(1195,plain,
% 0.47/0.63 ((i3 = i49) <=> (i3 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1194])).
% 0.47/0.63 tff(1196,plain,
% 0.47/0.63 ((~(i3 = i49)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1195])).
% 0.47/0.63 tff(1197,plain,
% 0.47/0.63 ((~(i3 = i49)) <=> (~(i3 = i49))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1198,axiom,(~(i3 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1185')).
% 0.47/0.63 tff(1199,plain,
% 0.47/0.63 (~(i3 = i49)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 0.47/0.63 tff(1200,plain,
% 0.47/0.63 (~(i3 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1199, 1196])).
% 0.47/0.63 tff(1201,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1800, a_1850)) | (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1800, a_1850)) | (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1202,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i3 = sk(a_1800, a_1850)) | (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1203,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i3 = sk(a_1800, a_1850)) | (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 0.47/0.63 tff(1204,plain,
% 0.47/0.63 ((i3 = sk(a_1800, a_1850)) | (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1203, 17])).
% 0.47/0.63 tff(1205,plain,
% 0.47/0.63 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1204, 1200])).
% 0.47/0.63 tff(1206,plain,
% 0.47/0.63 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1205])).
% 0.47/0.63 tff(1207,plain,
% 0.47/0.63 ((a_1839 = store(a_1838, i48, e48)) <=> (a_1839 = store(a_1838, i48, e48))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1208,axiom,(a_1839 = store(a_1838, i48, e48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp88')).
% 0.47/0.63 tff(1209,plain,
% 0.47/0.63 (a_1839 = store(a_1838, i48, e48)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 0.47/0.63 tff(1210,plain,
% 0.47/0.63 (store(a_1838, i48, e48) = a_1839),
% 0.47/0.63 inference(symmetry,[status(thm)],[1209])).
% 0.47/0.63 tff(1211,plain,
% 0.47/0.63 (store(store(a_1838, i48, e48), i29, e29) = store(a_1839, i29, e29)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1210])).
% 0.47/0.63 tff(1212,plain,
% 0.47/0.63 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1211])).
% 0.47/0.63 tff(1213,plain,
% 0.47/0.63 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i49)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1009])).
% 0.47/0.63 tff(1214,plain,
% 0.47/0.63 ((i29 = i49) <=> (i29 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(symmetry,[status(thm)],[1213])).
% 0.47/0.63 tff(1215,plain,
% 0.47/0.63 ((~(i29 = i49)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[1214])).
% 0.47/0.63 tff(1216,plain,
% 0.47/0.63 ((~(i29 = i49)) <=> (~(i29 = i49))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1217,axiom,(~(i29 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp314')).
% 0.47/0.63 tff(1218,plain,
% 0.47/0.63 (~(i29 = i49)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 0.47/0.63 tff(1219,plain,
% 0.47/0.63 (~(i29 = sk(a_1800, a_1850))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1218, 1215])).
% 0.47/0.63 tff(1220,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(1221,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(1222,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 0.47/0.63 tff(1223,plain,
% 0.47/0.63 ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1222, 17])).
% 0.47/0.63 tff(1224,plain,
% 0.47/0.63 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[1223, 1219])).
% 0.47/0.63 tff(1225,plain,
% 0.47/0.63 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.47/0.64 inference(symmetry,[status(thm)],[1224])).
% 0.47/0.64 tff(1226,plain,
% 0.47/0.64 ((a_1838 = store(a_1837, i10, e10)) <=> (a_1838 = store(a_1837, i10, e10))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1227,axiom,(a_1838 = store(a_1837, i10, e10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp87')).
% 0.47/0.64 tff(1228,plain,
% 0.47/0.64 (a_1838 = store(a_1837, i10, e10)),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 0.47/0.64 tff(1229,plain,
% 0.47/0.64 (store(a_1837, i10, e10) = a_1838),
% 0.47/0.64 inference(symmetry,[status(thm)],[1228])).
% 0.47/0.64 tff(1230,plain,
% 0.47/0.64 (store(store(a_1837, i10, e10), i48, e48) = store(a_1838, i48, e48)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1229])).
% 0.47/0.64 tff(1231,plain,
% 0.47/0.64 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1230])).
% 0.47/0.64 tff(1232,plain,
% 0.47/0.64 ((i48 = sk(a_1800, a_1850)) <=> (i48 = i49)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.47/0.64 tff(1233,plain,
% 0.47/0.64 ((i48 = i49) <=> (i48 = sk(a_1800, a_1850))),
% 0.47/0.64 inference(symmetry,[status(thm)],[1232])).
% 0.47/0.64 tff(1234,plain,
% 0.47/0.64 ((~(i48 = i49)) <=> (~(i48 = sk(a_1800, a_1850)))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1233])).
% 0.47/0.64 tff(1235,plain,
% 0.47/0.64 ((~(i48 = i49)) <=> (~(i48 = i49))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1236,axiom,(~(i48 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp105')).
% 0.47/0.64 tff(1237,plain,
% 0.47/0.64 (~(i48 = i49)),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 0.47/0.64 tff(1238,plain,
% 0.47/0.64 (~(i48 = sk(a_1800, a_1850))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1237, 1234])).
% 0.47/0.64 tff(1239,plain,
% 0.47/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i48 = sk(a_1800, a_1850)) | (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1240,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(1241,plain,
% 0.47/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i48 = sk(a_1800, a_1850)) | (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 0.47/0.64 tff(1242,plain,
% 0.47/0.64 ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850)))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1241, 17])).
% 0.47/0.64 tff(1243,plain,
% 0.47/0.64 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[1242, 1238])).
% 0.47/0.64 tff(1244,plain,
% 0.47/0.64 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.47/0.64 inference(symmetry,[status(thm)],[1243])).
% 0.47/0.64 tff(1245,plain,
% 0.47/0.64 ((a_1837 = store(a_1836, i2, e2)) <=> (a_1837 = store(a_1836, i2, e2))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(1246,axiom,(a_1837 = store(a_1836, i2, e2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp86')).
% 0.47/0.64 tff(1247,plain,
% 0.47/0.64 (a_1837 = store(a_1836, i2, e2)),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 0.47/0.64 tff(1248,plain,
% 0.47/0.64 (store(a_1836, i2, e2) = a_1837),
% 0.47/0.64 inference(symmetry,[status(thm)],[1247])).
% 0.47/0.64 tff(1249,plain,
% 0.47/0.64 (store(store(a_1836, i2, e2), i10, e10) = store(a_1837, i10, e10)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[1248])).
% 0.47/0.64 tff(1250,plain,
% 0.48/0.64 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1249])).
% 0.48/0.64 tff(1251,plain,
% 0.48/0.64 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i49)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.64 tff(1252,plain,
% 0.48/0.64 ((i10 = i49) <=> (i10 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1251])).
% 0.48/0.64 tff(1253,plain,
% 0.48/0.64 ((~(i10 = i49)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1252])).
% 0.48/0.64 tff(1254,plain,
% 0.48/0.64 ((~(i10 = i49)) <=> (~(i10 = i49))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1255,axiom,(~(i10 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp884')).
% 0.48/0.64 tff(1256,plain,
% 0.48/0.64 (~(i10 = i49)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 0.48/0.64 tff(1257,plain,
% 0.48/0.64 (~(i10 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1256, 1253])).
% 0.48/0.64 tff(1258,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1800, a_1850)) | (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1259,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1260,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i10 = sk(a_1800, a_1850)) | (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 0.48/0.64 tff(1261,plain,
% 0.48/0.64 ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1260, 17])).
% 0.48/0.64 tff(1262,plain,
% 0.48/0.64 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1261, 1257])).
% 0.48/0.64 tff(1263,plain,
% 0.48/0.64 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1262])).
% 0.48/0.64 tff(1264,plain,
% 0.48/0.64 ((a_1836 = store(a_1835, i50, e50)) <=> (a_1836 = store(a_1835, i50, e50))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1265,axiom,(a_1836 = store(a_1835, i50, e50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp85')).
% 0.48/0.64 tff(1266,plain,
% 0.48/0.64 (a_1836 = store(a_1835, i50, e50)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 0.48/0.64 tff(1267,plain,
% 0.48/0.64 (store(a_1835, i50, e50) = a_1836),
% 0.48/0.64 inference(symmetry,[status(thm)],[1266])).
% 0.48/0.64 tff(1268,plain,
% 0.48/0.64 (store(store(a_1835, i50, e50), i2, e2) = store(a_1836, i2, e2)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1267])).
% 0.48/0.64 tff(1269,plain,
% 0.48/0.64 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1268])).
% 0.48/0.64 tff(1270,plain,
% 0.48/0.64 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i49)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.64 tff(1271,plain,
% 0.48/0.64 ((i2 = i49) <=> (i2 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1270])).
% 0.48/0.64 tff(1272,plain,
% 0.48/0.64 ((~(i2 = i49)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1271])).
% 0.48/0.64 tff(1273,plain,
% 0.48/0.64 ((~(i2 = i49)) <=> (~(i2 = i49))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1274,axiom,(~(i2 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1232')).
% 0.48/0.64 tff(1275,plain,
% 0.48/0.64 (~(i2 = i49)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 0.48/0.64 tff(1276,plain,
% 0.48/0.64 (~(i2 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1275, 1272])).
% 0.48/0.64 tff(1277,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1800, a_1850)) | (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1800, a_1850)) | (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1278,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i2 = sk(a_1800, a_1850)) | (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1279,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i2 = sk(a_1800, a_1850)) | (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 0.48/0.64 tff(1280,plain,
% 0.48/0.64 ((i2 = sk(a_1800, a_1850)) | (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1279, 17])).
% 0.48/0.64 tff(1281,plain,
% 0.48/0.64 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1280, 1276])).
% 0.48/0.64 tff(1282,plain,
% 0.48/0.64 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1281])).
% 0.48/0.64 tff(1283,plain,
% 0.48/0.64 ((a_1835 = store(a_1834, i35, e35)) <=> (a_1835 = store(a_1834, i35, e35))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1284,axiom,(a_1835 = store(a_1834, i35, e35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp84')).
% 0.48/0.64 tff(1285,plain,
% 0.48/0.64 (a_1835 = store(a_1834, i35, e35)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 0.48/0.64 tff(1286,plain,
% 0.48/0.64 (store(a_1834, i35, e35) = a_1835),
% 0.48/0.64 inference(symmetry,[status(thm)],[1285])).
% 0.48/0.64 tff(1287,plain,
% 0.48/0.64 (store(store(a_1834, i35, e35), i50, e50) = store(a_1835, i50, e50)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1286])).
% 0.48/0.64 tff(1288,plain,
% 0.48/0.64 (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1287])).
% 0.48/0.64 tff(1289,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i50 = sk(a_1800, a_1850)) | (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i50 = sk(a_1800, a_1850)) | (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1290,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i50 = sk(a_1800, a_1850)) | (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1291,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i50 = sk(a_1800, a_1850)) | (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1290, 1289])).
% 0.48/0.64 tff(1292,plain,
% 0.48/0.64 (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1291, 17, 11])).
% 0.48/0.64 tff(1293,plain,
% 0.48/0.64 (select(store(a_1834, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1292])).
% 0.48/0.64 tff(1294,plain,
% 0.48/0.64 ((a_1834 = store(a_1833, i46, e46)) <=> (a_1834 = store(a_1833, i46, e46))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1295,axiom,(a_1834 = store(a_1833, i46, e46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp83')).
% 0.48/0.64 tff(1296,plain,
% 0.48/0.64 (a_1834 = store(a_1833, i46, e46)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 0.48/0.64 tff(1297,plain,
% 0.48/0.64 (store(a_1833, i46, e46) = a_1834),
% 0.48/0.64 inference(symmetry,[status(thm)],[1296])).
% 0.48/0.64 tff(1298,plain,
% 0.48/0.64 (store(store(a_1833, i46, e46), i35, e35) = store(a_1834, i35, e35)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1297])).
% 0.48/0.64 tff(1299,plain,
% 0.48/0.64 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1298])).
% 0.48/0.64 tff(1300,plain,
% 0.48/0.64 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i49)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.64 tff(1301,plain,
% 0.48/0.64 ((i35 = i49) <=> (i35 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1300])).
% 0.48/0.64 tff(1302,plain,
% 0.48/0.64 ((~(i35 = i49)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1301])).
% 0.48/0.64 tff(1303,plain,
% 0.48/0.64 ((~(i35 = i49)) <=> (~(i35 = i49))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1304,axiom,(~(i35 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp209')).
% 0.48/0.64 tff(1305,plain,
% 0.48/0.64 (~(i35 = i49)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 0.48/0.64 tff(1306,plain,
% 0.48/0.64 (~(i35 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1305, 1302])).
% 0.48/0.64 tff(1307,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1800, a_1850)) | (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1308,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1309,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i35 = sk(a_1800, a_1850)) | (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 0.48/0.64 tff(1310,plain,
% 0.48/0.64 ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1309, 17])).
% 0.48/0.64 tff(1311,plain,
% 0.48/0.64 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1310, 1306])).
% 0.48/0.64 tff(1312,plain,
% 0.48/0.64 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1311])).
% 0.48/0.64 tff(1313,plain,
% 0.48/0.64 ((a_1833 = store(a_1832, i25, e25)) <=> (a_1833 = store(a_1832, i25, e25))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1314,axiom,(a_1833 = store(a_1832, i25, e25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp82')).
% 0.48/0.64 tff(1315,plain,
% 0.48/0.64 (a_1833 = store(a_1832, i25, e25)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 0.48/0.64 tff(1316,plain,
% 0.48/0.64 (store(a_1832, i25, e25) = a_1833),
% 0.48/0.64 inference(symmetry,[status(thm)],[1315])).
% 0.48/0.64 tff(1317,plain,
% 0.48/0.64 (store(store(a_1832, i25, e25), i46, e46) = store(a_1833, i46, e46)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1316])).
% 0.48/0.64 tff(1318,plain,
% 0.48/0.64 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1317])).
% 0.48/0.64 tff(1319,plain,
% 0.48/0.64 ((i46 = sk(a_1800, a_1850)) <=> (i46 = i49)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.64 tff(1320,plain,
% 0.48/0.64 ((i46 = i49) <=> (i46 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1319])).
% 0.48/0.64 tff(1321,plain,
% 0.48/0.64 ((~(i46 = i49)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1320])).
% 0.48/0.64 tff(1322,plain,
% 0.48/0.64 ((~(i46 = i49)) <=> (~(i46 = i49))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1323,axiom,(~(i46 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp110')).
% 0.48/0.64 tff(1324,plain,
% 0.48/0.64 (~(i46 = i49)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 0.48/0.64 tff(1325,plain,
% 0.48/0.64 (~(i46 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1324, 1321])).
% 0.48/0.64 tff(1326,plain,
% 0.48/0.64 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i46 = sk(a_1800, a_1850)) | (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1327,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))))),
% 0.48/0.64 inference(quant_inst,[status(thm)],[])).
% 0.48/0.64 tff(1328,plain,
% 0.48/0.64 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i46 = sk(a_1800, a_1850)) | (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 0.48/0.64 tff(1329,plain,
% 0.48/0.64 ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1328, 17])).
% 0.48/0.64 tff(1330,plain,
% 0.48/0.64 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.48/0.64 inference(unit_resolution,[status(thm)],[1329, 1325])).
% 0.48/0.64 tff(1331,plain,
% 0.48/0.64 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1330])).
% 0.48/0.64 tff(1332,plain,
% 0.48/0.64 ((a_1832 = store(a_1831, i23, e23)) <=> (a_1832 = store(a_1831, i23, e23))),
% 0.48/0.64 inference(rewrite,[status(thm)],[])).
% 0.48/0.64 tff(1333,axiom,(a_1832 = store(a_1831, i23, e23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp81')).
% 0.48/0.64 tff(1334,plain,
% 0.48/0.64 (a_1832 = store(a_1831, i23, e23)),
% 0.48/0.64 inference(modus_ponens,[status(thm)],[1333, 1332])).
% 0.48/0.64 tff(1335,plain,
% 0.48/0.64 (store(a_1831, i23, e23) = a_1832),
% 0.48/0.64 inference(symmetry,[status(thm)],[1334])).
% 0.48/0.64 tff(1336,plain,
% 0.48/0.64 (store(store(a_1831, i23, e23), i25, e25) = store(a_1832, i25, e25)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1335])).
% 0.48/0.64 tff(1337,plain,
% 0.48/0.64 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1336])).
% 0.48/0.64 tff(1338,plain,
% 0.48/0.64 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i49)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.64 tff(1339,plain,
% 0.48/0.64 ((i25 = i49) <=> (i25 = sk(a_1800, a_1850))),
% 0.48/0.64 inference(symmetry,[status(thm)],[1338])).
% 0.48/0.65 tff(1340,plain,
% 0.48/0.65 ((~(i25 = i49)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1339])).
% 0.48/0.65 tff(1341,plain,
% 0.48/0.65 ((~(i25 = i49)) <=> (~(i25 = i49))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1342,axiom,(~(i25 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp404')).
% 0.48/0.65 tff(1343,plain,
% 0.48/0.65 (~(i25 = i49)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1342, 1341])).
% 0.48/0.65 tff(1344,plain,
% 0.48/0.65 (~(i25 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1343, 1340])).
% 0.48/0.65 tff(1345,plain,
% 0.48/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1800, a_1850)) | (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1346,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(1347,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i25 = sk(a_1800, a_1850)) | (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 0.48/0.65 tff(1348,plain,
% 0.48/0.65 ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1347, 17])).
% 0.48/0.65 tff(1349,plain,
% 0.48/0.65 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1348, 1344])).
% 0.48/0.65 tff(1350,plain,
% 0.48/0.65 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1349])).
% 0.48/0.65 tff(1351,plain,
% 0.48/0.65 ((a_1831 = store(a_1830, i38, e38)) <=> (a_1831 = store(a_1830, i38, e38))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1352,axiom,(a_1831 = store(a_1830, i38, e38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp80')).
% 0.48/0.65 tff(1353,plain,
% 0.48/0.65 (a_1831 = store(a_1830, i38, e38)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 0.48/0.65 tff(1354,plain,
% 0.48/0.65 (store(a_1830, i38, e38) = a_1831),
% 0.48/0.65 inference(symmetry,[status(thm)],[1353])).
% 0.48/0.65 tff(1355,plain,
% 0.48/0.65 (store(store(a_1830, i38, e38), i23, e23) = store(a_1831, i23, e23)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1354])).
% 0.48/0.65 tff(1356,plain,
% 0.48/0.65 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1355])).
% 0.48/0.65 tff(1357,plain,
% 0.48/0.65 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i49)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.65 tff(1358,plain,
% 0.48/0.65 ((i23 = i49) <=> (i23 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1357])).
% 0.48/0.65 tff(1359,plain,
% 0.48/0.65 ((~(i23 = i49)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1358])).
% 0.48/0.65 tff(1360,plain,
% 0.48/0.65 ((~(i23 = i49)) <=> (~(i23 = i49))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1361,axiom,(~(i23 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp455')).
% 0.48/0.65 tff(1362,plain,
% 0.48/0.65 (~(i23 = i49)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 0.48/0.65 tff(1363,plain,
% 0.48/0.65 (~(i23 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1362, 1359])).
% 0.48/0.65 tff(1364,plain,
% 0.48/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1800, a_1850)) | (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1365,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(1366,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i23 = sk(a_1800, a_1850)) | (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 0.48/0.65 tff(1367,plain,
% 0.48/0.65 ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1366, 17])).
% 0.48/0.65 tff(1368,plain,
% 0.48/0.65 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1367, 1363])).
% 0.48/0.65 tff(1369,plain,
% 0.48/0.65 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1368])).
% 0.48/0.65 tff(1370,plain,
% 0.48/0.65 ((a_1830 = store(a_1829, i44, e44)) <=> (a_1830 = store(a_1829, i44, e44))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1371,axiom,(a_1830 = store(a_1829, i44, e44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp79')).
% 0.48/0.65 tff(1372,plain,
% 0.48/0.65 (a_1830 = store(a_1829, i44, e44)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 0.48/0.65 tff(1373,plain,
% 0.48/0.65 (store(a_1829, i44, e44) = a_1830),
% 0.48/0.65 inference(symmetry,[status(thm)],[1372])).
% 0.48/0.65 tff(1374,plain,
% 0.48/0.65 (store(store(a_1829, i44, e44), i38, e38) = store(a_1830, i38, e38)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1373])).
% 0.48/0.65 tff(1375,plain,
% 0.48/0.65 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1374])).
% 0.48/0.65 tff(1376,plain,
% 0.48/0.65 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i49)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.65 tff(1377,plain,
% 0.48/0.65 ((i38 = i49) <=> (i38 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1376])).
% 0.48/0.65 tff(1378,plain,
% 0.48/0.65 ((~(i38 = i49)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1377])).
% 0.48/0.65 tff(1379,plain,
% 0.48/0.65 ((~(i38 = i49)) <=> (~(i38 = i49))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1380,axiom,(~(i38 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp170')).
% 0.48/0.65 tff(1381,plain,
% 0.48/0.65 (~(i38 = i49)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 0.48/0.65 tff(1382,plain,
% 0.48/0.65 (~(i38 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1381, 1378])).
% 0.48/0.65 tff(1383,plain,
% 0.48/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1800, a_1850)) | (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1384,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(1385,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i38 = sk(a_1800, a_1850)) | (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 0.48/0.65 tff(1386,plain,
% 0.48/0.65 ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1385, 17])).
% 0.48/0.65 tff(1387,plain,
% 0.48/0.65 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1386, 1382])).
% 0.48/0.65 tff(1388,plain,
% 0.48/0.65 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1387])).
% 0.48/0.65 tff(1389,plain,
% 0.48/0.65 ((a_1829 = store(a_1828, i36, e36)) <=> (a_1829 = store(a_1828, i36, e36))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1390,axiom,(a_1829 = store(a_1828, i36, e36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp78')).
% 0.48/0.65 tff(1391,plain,
% 0.48/0.65 (a_1829 = store(a_1828, i36, e36)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 0.48/0.65 tff(1392,plain,
% 0.48/0.65 (store(a_1828, i36, e36) = a_1829),
% 0.48/0.65 inference(symmetry,[status(thm)],[1391])).
% 0.48/0.65 tff(1393,plain,
% 0.48/0.65 (store(store(a_1828, i36, e36), i44, e44) = store(a_1829, i44, e44)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1392])).
% 0.48/0.65 tff(1394,plain,
% 0.48/0.65 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1393])).
% 0.48/0.65 tff(1395,plain,
% 0.48/0.65 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i49)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.65 tff(1396,plain,
% 0.48/0.65 ((i44 = i49) <=> (i44 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1395])).
% 0.48/0.65 tff(1397,plain,
% 0.48/0.65 ((~(i44 = i49)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1396])).
% 0.48/0.65 tff(1398,plain,
% 0.48/0.65 ((~(i44 = i49)) <=> (~(i44 = i49))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1399,axiom,(~(i44 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp119')).
% 0.48/0.65 tff(1400,plain,
% 0.48/0.65 (~(i44 = i49)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 0.48/0.65 tff(1401,plain,
% 0.48/0.65 (~(i44 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1400, 1397])).
% 0.48/0.65 tff(1402,plain,
% 0.48/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i44 = sk(a_1800, a_1850)) | (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1403,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(1404,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i44 = sk(a_1800, a_1850)) | (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 0.48/0.65 tff(1405,plain,
% 0.48/0.65 ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1404, 17])).
% 0.48/0.65 tff(1406,plain,
% 0.48/0.65 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1405, 1401])).
% 0.48/0.65 tff(1407,plain,
% 0.48/0.65 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1406])).
% 0.48/0.65 tff(1408,plain,
% 0.48/0.65 ((a_1828 = store(a_1827, i11, e11)) <=> (a_1828 = store(a_1827, i11, e11))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1409,axiom,(a_1828 = store(a_1827, i11, e11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp77')).
% 0.48/0.65 tff(1410,plain,
% 0.48/0.65 (a_1828 = store(a_1827, i11, e11)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 0.48/0.65 tff(1411,plain,
% 0.48/0.65 (store(a_1827, i11, e11) = a_1828),
% 0.48/0.65 inference(symmetry,[status(thm)],[1410])).
% 0.48/0.65 tff(1412,plain,
% 0.48/0.65 (store(store(a_1827, i11, e11), i36, e36) = store(a_1828, i36, e36)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1411])).
% 0.48/0.65 tff(1413,plain,
% 0.48/0.65 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1412])).
% 0.48/0.65 tff(1414,plain,
% 0.48/0.65 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i49)),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.65 tff(1415,plain,
% 0.48/0.65 ((i36 = i49) <=> (i36 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1414])).
% 0.48/0.65 tff(1416,plain,
% 0.48/0.65 ((~(i36 = i49)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.48/0.65 inference(monotonicity,[status(thm)],[1415])).
% 0.48/0.65 tff(1417,plain,
% 0.48/0.65 ((~(i36 = i49)) <=> (~(i36 = i49))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1418,axiom,(~(i36 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp195')).
% 0.48/0.65 tff(1419,plain,
% 0.48/0.65 (~(i36 = i49)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 0.48/0.65 tff(1420,plain,
% 0.48/0.65 (~(i36 = sk(a_1800, a_1850))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1419, 1416])).
% 0.48/0.65 tff(1421,plain,
% 0.48/0.65 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1800, a_1850)) | (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1422,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))))),
% 0.48/0.65 inference(quant_inst,[status(thm)],[])).
% 0.48/0.65 tff(1423,plain,
% 0.48/0.65 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i36 = sk(a_1800, a_1850)) | (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 0.48/0.65 tff(1424,plain,
% 0.48/0.65 ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1423, 17])).
% 0.48/0.65 tff(1425,plain,
% 0.48/0.65 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.48/0.65 inference(unit_resolution,[status(thm)],[1424, 1420])).
% 0.48/0.65 tff(1426,plain,
% 0.48/0.65 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.48/0.65 inference(symmetry,[status(thm)],[1425])).
% 0.48/0.65 tff(1427,plain,
% 0.48/0.65 ((a_1827 = store(a_1826, i34, e34)) <=> (a_1827 = store(a_1826, i34, e34))),
% 0.48/0.65 inference(rewrite,[status(thm)],[])).
% 0.48/0.65 tff(1428,axiom,(a_1827 = store(a_1826, i34, e34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp76')).
% 0.48/0.65 tff(1429,plain,
% 0.48/0.65 (a_1827 = store(a_1826, i34, e34)),
% 0.48/0.65 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 0.48/0.66 tff(1430,plain,
% 0.48/0.66 (store(a_1826, i34, e34) = a_1827),
% 0.48/0.66 inference(symmetry,[status(thm)],[1429])).
% 0.48/0.66 tff(1431,plain,
% 0.48/0.66 (store(store(a_1826, i34, e34), i11, e11) = store(a_1827, i11, e11)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1430])).
% 0.48/0.66 tff(1432,plain,
% 0.48/0.66 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1431])).
% 0.48/0.66 tff(1433,plain,
% 0.48/0.66 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1434,plain,
% 0.48/0.66 ((i11 = i49) <=> (i11 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1433])).
% 0.48/0.66 tff(1435,plain,
% 0.48/0.66 ((~(i11 = i49)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1434])).
% 0.48/0.66 tff(1436,plain,
% 0.48/0.66 ((~(i11 = i49)) <=> (~(i11 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1437,axiom,(~(i11 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp845')).
% 0.48/0.66 tff(1438,plain,
% 0.48/0.66 (~(i11 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 0.48/0.66 tff(1439,plain,
% 0.48/0.66 (~(i11 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1438, 1435])).
% 0.48/0.66 tff(1440,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1800, a_1850)) | (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1441,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1442,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i11 = sk(a_1800, a_1850)) | (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 0.48/0.66 tff(1443,plain,
% 0.48/0.66 ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1442, 17])).
% 0.48/0.66 tff(1444,plain,
% 0.48/0.66 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1443, 1439])).
% 0.48/0.66 tff(1445,plain,
% 0.48/0.66 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1444])).
% 0.48/0.66 tff(1446,plain,
% 0.48/0.66 ((a_1826 = store(a_1825, i26, e26)) <=> (a_1826 = store(a_1825, i26, e26))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1447,axiom,(a_1826 = store(a_1825, i26, e26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp75')).
% 0.48/0.66 tff(1448,plain,
% 0.48/0.66 (a_1826 = store(a_1825, i26, e26)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 0.48/0.66 tff(1449,plain,
% 0.48/0.66 (store(a_1825, i26, e26) = a_1826),
% 0.48/0.66 inference(symmetry,[status(thm)],[1448])).
% 0.48/0.66 tff(1450,plain,
% 0.48/0.66 (store(store(a_1825, i26, e26), i34, e34) = store(a_1826, i34, e34)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1449])).
% 0.48/0.66 tff(1451,plain,
% 0.48/0.66 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1450])).
% 0.48/0.66 tff(1452,plain,
% 0.48/0.66 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1453,plain,
% 0.48/0.66 ((i34 = i49) <=> (i34 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1452])).
% 0.48/0.66 tff(1454,plain,
% 0.48/0.66 ((~(i34 = i49)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1453])).
% 0.48/0.66 tff(1455,plain,
% 0.48/0.66 ((~(i34 = i49)) <=> (~(i34 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1456,axiom,(~(i34 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp224')).
% 0.48/0.66 tff(1457,plain,
% 0.48/0.66 (~(i34 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 0.48/0.66 tff(1458,plain,
% 0.48/0.66 (~(i34 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1457, 1454])).
% 0.48/0.66 tff(1459,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1800, a_1850)) | (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1460,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1461,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i34 = sk(a_1800, a_1850)) | (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1460, 1459])).
% 0.48/0.66 tff(1462,plain,
% 0.48/0.66 ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1461, 17])).
% 0.48/0.66 tff(1463,plain,
% 0.48/0.66 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1462, 1458])).
% 0.48/0.66 tff(1464,plain,
% 0.48/0.66 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1463])).
% 0.48/0.66 tff(1465,plain,
% 0.48/0.66 ((a_1825 = store(a_1824, i18, e18)) <=> (a_1825 = store(a_1824, i18, e18))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1466,axiom,(a_1825 = store(a_1824, i18, e18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp74')).
% 0.48/0.66 tff(1467,plain,
% 0.48/0.66 (a_1825 = store(a_1824, i18, e18)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 0.48/0.66 tff(1468,plain,
% 0.48/0.66 (store(a_1824, i18, e18) = a_1825),
% 0.48/0.66 inference(symmetry,[status(thm)],[1467])).
% 0.48/0.66 tff(1469,plain,
% 0.48/0.66 (store(store(a_1824, i18, e18), i26, e26) = store(a_1825, i26, e26)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1468])).
% 0.48/0.66 tff(1470,plain,
% 0.48/0.66 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1469])).
% 0.48/0.66 tff(1471,plain,
% 0.48/0.66 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1472,plain,
% 0.48/0.66 ((i26 = i49) <=> (i26 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1471])).
% 0.48/0.66 tff(1473,plain,
% 0.48/0.66 ((~(i26 = i49)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1472])).
% 0.48/0.66 tff(1474,plain,
% 0.48/0.66 ((~(i26 = i49)) <=> (~(i26 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1475,axiom,(~(i26 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp380')).
% 0.48/0.66 tff(1476,plain,
% 0.48/0.66 (~(i26 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 0.48/0.66 tff(1477,plain,
% 0.48/0.66 (~(i26 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1476, 1473])).
% 0.48/0.66 tff(1478,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1800, a_1850)) | (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1479,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1480,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i26 = sk(a_1800, a_1850)) | (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 0.48/0.66 tff(1481,plain,
% 0.48/0.66 ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1480, 17])).
% 0.48/0.66 tff(1482,plain,
% 0.48/0.66 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1481, 1477])).
% 0.48/0.66 tff(1483,plain,
% 0.48/0.66 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1482])).
% 0.48/0.66 tff(1484,plain,
% 0.48/0.66 ((a_1824 = store(a_1823, i47, e47)) <=> (a_1824 = store(a_1823, i47, e47))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1485,axiom,(a_1824 = store(a_1823, i47, e47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp73')).
% 0.48/0.66 tff(1486,plain,
% 0.48/0.66 (a_1824 = store(a_1823, i47, e47)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 0.48/0.66 tff(1487,plain,
% 0.48/0.66 (store(a_1823, i47, e47) = a_1824),
% 0.48/0.66 inference(symmetry,[status(thm)],[1486])).
% 0.48/0.66 tff(1488,plain,
% 0.48/0.66 (store(store(a_1823, i47, e47), i18, e18) = store(a_1824, i18, e18)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1487])).
% 0.48/0.66 tff(1489,plain,
% 0.48/0.66 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1488])).
% 0.48/0.66 tff(1490,plain,
% 0.48/0.66 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1491,plain,
% 0.48/0.66 ((i18 = i49) <=> (i18 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1490])).
% 0.48/0.66 tff(1492,plain,
% 0.48/0.66 ((~(i18 = i49)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1491])).
% 0.48/0.66 tff(1493,plain,
% 0.48/0.66 ((~(i18 = i49)) <=> (~(i18 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1494,axiom,(~(i18 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp600')).
% 0.48/0.66 tff(1495,plain,
% 0.48/0.66 (~(i18 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 0.48/0.66 tff(1496,plain,
% 0.48/0.66 (~(i18 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1495, 1492])).
% 0.48/0.66 tff(1497,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1800, a_1850)) | (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1498,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1499,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i18 = sk(a_1800, a_1850)) | (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 0.48/0.66 tff(1500,plain,
% 0.48/0.66 ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1499, 17])).
% 0.48/0.66 tff(1501,plain,
% 0.48/0.66 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1500, 1496])).
% 0.48/0.66 tff(1502,plain,
% 0.48/0.66 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1501])).
% 0.48/0.66 tff(1503,plain,
% 0.48/0.66 ((a_1823 = store(a_1822, i42, e42)) <=> (a_1823 = store(a_1822, i42, e42))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1504,axiom,(a_1823 = store(a_1822, i42, e42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp72')).
% 0.48/0.66 tff(1505,plain,
% 0.48/0.66 (a_1823 = store(a_1822, i42, e42)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 0.48/0.66 tff(1506,plain,
% 0.48/0.66 (store(a_1822, i42, e42) = a_1823),
% 0.48/0.66 inference(symmetry,[status(thm)],[1505])).
% 0.48/0.66 tff(1507,plain,
% 0.48/0.66 (store(store(a_1822, i42, e42), i47, e47) = store(a_1823, i47, e47)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1506])).
% 0.48/0.66 tff(1508,plain,
% 0.48/0.66 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1507])).
% 0.48/0.66 tff(1509,plain,
% 0.48/0.66 ((i47 = sk(a_1800, a_1850)) <=> (i47 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1510,plain,
% 0.48/0.66 ((i47 = i49) <=> (i47 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1509])).
% 0.48/0.66 tff(1511,plain,
% 0.48/0.66 ((~(i47 = i49)) <=> (~(i47 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1510])).
% 0.48/0.66 tff(1512,plain,
% 0.48/0.66 ((~(i47 = i49)) <=> (~(i47 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1513,axiom,(~(i47 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp107')).
% 0.48/0.66 tff(1514,plain,
% 0.48/0.66 (~(i47 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 0.48/0.66 tff(1515,plain,
% 0.48/0.66 (~(i47 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1514, 1511])).
% 0.48/0.66 tff(1516,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i47 = sk(a_1800, a_1850)) | (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1517,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1518,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i47 = sk(a_1800, a_1850)) | (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 0.48/0.66 tff(1519,plain,
% 0.48/0.66 ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1518, 17])).
% 0.48/0.66 tff(1520,plain,
% 0.48/0.66 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1519, 1515])).
% 0.48/0.66 tff(1521,plain,
% 0.48/0.66 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1520])).
% 0.48/0.66 tff(1522,plain,
% 0.48/0.66 ((a_1822 = store(a_1821, i17, e17)) <=> (a_1822 = store(a_1821, i17, e17))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1523,axiom,(a_1822 = store(a_1821, i17, e17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp71')).
% 0.48/0.66 tff(1524,plain,
% 0.48/0.66 (a_1822 = store(a_1821, i17, e17)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 0.48/0.66 tff(1525,plain,
% 0.48/0.66 (store(a_1821, i17, e17) = a_1822),
% 0.48/0.66 inference(symmetry,[status(thm)],[1524])).
% 0.48/0.66 tff(1526,plain,
% 0.48/0.66 (store(store(a_1821, i17, e17), i42, e42) = store(a_1822, i42, e42)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1525])).
% 0.48/0.66 tff(1527,plain,
% 0.48/0.66 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1526])).
% 0.48/0.66 tff(1528,plain,
% 0.48/0.66 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i49)),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.66 tff(1529,plain,
% 0.48/0.66 ((i42 = i49) <=> (i42 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1528])).
% 0.48/0.66 tff(1530,plain,
% 0.48/0.66 ((~(i42 = i49)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.48/0.66 inference(monotonicity,[status(thm)],[1529])).
% 0.48/0.66 tff(1531,plain,
% 0.48/0.66 ((~(i42 = i49)) <=> (~(i42 = i49))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1532,axiom,(~(i42 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp132')).
% 0.48/0.66 tff(1533,plain,
% 0.48/0.66 (~(i42 = i49)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 0.48/0.66 tff(1534,plain,
% 0.48/0.66 (~(i42 = sk(a_1800, a_1850))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1533, 1530])).
% 0.48/0.66 tff(1535,plain,
% 0.48/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i42 = sk(a_1800, a_1850)) | (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1536,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(1537,plain,
% 0.48/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i42 = sk(a_1800, a_1850)) | (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 0.48/0.66 tff(1538,plain,
% 0.48/0.66 ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1537, 17])).
% 0.48/0.66 tff(1539,plain,
% 0.48/0.66 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[1538, 1534])).
% 0.48/0.66 tff(1540,plain,
% 0.48/0.66 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.48/0.66 inference(symmetry,[status(thm)],[1539])).
% 0.48/0.66 tff(1541,plain,
% 0.48/0.66 ((a_1821 = store(a_1820, i9, e9)) <=> (a_1821 = store(a_1820, i9, e9))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(1542,axiom,(a_1821 = store(a_1820, i9, e9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp70')).
% 0.48/0.66 tff(1543,plain,
% 0.48/0.66 (a_1821 = store(a_1820, i9, e9)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 0.48/0.66 tff(1544,plain,
% 0.48/0.67 (store(a_1820, i9, e9) = a_1821),
% 0.48/0.67 inference(symmetry,[status(thm)],[1543])).
% 0.48/0.67 tff(1545,plain,
% 0.48/0.67 (store(store(a_1820, i9, e9), i17, e17) = store(a_1821, i17, e17)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1544])).
% 0.48/0.67 tff(1546,plain,
% 0.48/0.67 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1545])).
% 0.48/0.67 tff(1547,plain,
% 0.48/0.67 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i49)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.67 tff(1548,plain,
% 0.48/0.67 ((i17 = i49) <=> (i17 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1547])).
% 0.48/0.67 tff(1549,plain,
% 0.48/0.67 ((~(i17 = i49)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1548])).
% 0.48/0.67 tff(1550,plain,
% 0.48/0.67 ((~(i17 = i49)) <=> (~(i17 = i49))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1551,axiom,(~(i17 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp632')).
% 0.48/0.67 tff(1552,plain,
% 0.48/0.67 (~(i17 = i49)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 0.48/0.67 tff(1553,plain,
% 0.48/0.67 (~(i17 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1552, 1549])).
% 0.48/0.67 tff(1554,plain,
% 0.48/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1800, a_1850)) | (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1555,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(1556,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i17 = sk(a_1800, a_1850)) | (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 0.48/0.67 tff(1557,plain,
% 0.48/0.67 ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1556, 17])).
% 0.48/0.67 tff(1558,plain,
% 0.48/0.67 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1557, 1553])).
% 0.48/0.67 tff(1559,plain,
% 0.48/0.67 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1558])).
% 0.48/0.67 tff(1560,plain,
% 0.48/0.67 ((a_1820 = store(a_1819, i33, e33)) <=> (a_1820 = store(a_1819, i33, e33))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1561,axiom,(a_1820 = store(a_1819, i33, e33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp69')).
% 0.48/0.67 tff(1562,plain,
% 0.48/0.67 (a_1820 = store(a_1819, i33, e33)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 0.48/0.67 tff(1563,plain,
% 0.48/0.67 (store(a_1819, i33, e33) = a_1820),
% 0.48/0.67 inference(symmetry,[status(thm)],[1562])).
% 0.48/0.67 tff(1564,plain,
% 0.48/0.67 (store(store(a_1819, i33, e33), i9, e9) = store(a_1820, i9, e9)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1563])).
% 0.48/0.67 tff(1565,plain,
% 0.48/0.67 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1564])).
% 0.48/0.67 tff(1566,plain,
% 0.48/0.67 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i49)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.67 tff(1567,plain,
% 0.48/0.67 ((i9 = i49) <=> (i9 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1566])).
% 0.48/0.67 tff(1568,plain,
% 0.48/0.67 ((~(i9 = i49)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1567])).
% 0.48/0.67 tff(1569,plain,
% 0.48/0.67 ((~(i9 = i49)) <=> (~(i9 = i49))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1570,axiom,(~(i9 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp924')).
% 0.48/0.67 tff(1571,plain,
% 0.48/0.67 (~(i9 = i49)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 0.48/0.67 tff(1572,plain,
% 0.48/0.67 (~(i9 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1571, 1568])).
% 0.48/0.67 tff(1573,plain,
% 0.48/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1800, a_1850)) | (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1574,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(1575,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i9 = sk(a_1800, a_1850)) | (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 0.48/0.67 tff(1576,plain,
% 0.48/0.67 ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1575, 17])).
% 0.48/0.67 tff(1577,plain,
% 0.48/0.67 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1576, 1572])).
% 0.48/0.67 tff(1578,plain,
% 0.48/0.67 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1577])).
% 0.48/0.67 tff(1579,plain,
% 0.48/0.67 ((a_1819 = store(a_1818, i7, e7)) <=> (a_1819 = store(a_1818, i7, e7))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1580,axiom,(a_1819 = store(a_1818, i7, e7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp68')).
% 0.48/0.67 tff(1581,plain,
% 0.48/0.67 (a_1819 = store(a_1818, i7, e7)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 0.48/0.67 tff(1582,plain,
% 0.48/0.67 (store(a_1818, i7, e7) = a_1819),
% 0.48/0.67 inference(symmetry,[status(thm)],[1581])).
% 0.48/0.67 tff(1583,plain,
% 0.48/0.67 (store(store(a_1818, i7, e7), i33, e33) = store(a_1819, i33, e33)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1582])).
% 0.48/0.67 tff(1584,plain,
% 0.48/0.67 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1583])).
% 0.48/0.67 tff(1585,plain,
% 0.48/0.67 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i49)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.67 tff(1586,plain,
% 0.48/0.67 ((i33 = i49) <=> (i33 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1585])).
% 0.48/0.67 tff(1587,plain,
% 0.48/0.67 ((~(i33 = i49)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1586])).
% 0.48/0.67 tff(1588,plain,
% 0.48/0.67 ((~(i33 = i49)) <=> (~(i33 = i49))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1589,axiom,(~(i33 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp240')).
% 0.48/0.67 tff(1590,plain,
% 0.48/0.67 (~(i33 = i49)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 0.48/0.67 tff(1591,plain,
% 0.48/0.67 (~(i33 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1590, 1587])).
% 0.48/0.67 tff(1592,plain,
% 0.48/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1800, a_1850)) | (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1593,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(1594,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i33 = sk(a_1800, a_1850)) | (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 0.48/0.67 tff(1595,plain,
% 0.48/0.67 ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1594, 17])).
% 0.48/0.67 tff(1596,plain,
% 0.48/0.67 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1595, 1591])).
% 0.48/0.67 tff(1597,plain,
% 0.48/0.67 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1596])).
% 0.48/0.67 tff(1598,plain,
% 0.48/0.67 ((a_1818 = store(a_1817, i15, e15)) <=> (a_1818 = store(a_1817, i15, e15))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1599,axiom,(a_1818 = store(a_1817, i15, e15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp67')).
% 0.48/0.67 tff(1600,plain,
% 0.48/0.67 (a_1818 = store(a_1817, i15, e15)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 0.48/0.67 tff(1601,plain,
% 0.48/0.67 (store(a_1817, i15, e15) = a_1818),
% 0.48/0.67 inference(symmetry,[status(thm)],[1600])).
% 0.48/0.67 tff(1602,plain,
% 0.48/0.67 (store(store(a_1817, i15, e15), i7, e7) = store(a_1818, i7, e7)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1601])).
% 0.48/0.67 tff(1603,plain,
% 0.48/0.67 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1602])).
% 0.48/0.67 tff(1604,plain,
% 0.48/0.67 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i49)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.67 tff(1605,plain,
% 0.48/0.67 ((i7 = i49) <=> (i7 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1604])).
% 0.48/0.67 tff(1606,plain,
% 0.48/0.67 ((~(i7 = i49)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1605])).
% 0.48/0.67 tff(1607,plain,
% 0.48/0.67 ((~(i7 = i49)) <=> (~(i7 = i49))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1608,axiom,(~(i7 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1007')).
% 0.48/0.67 tff(1609,plain,
% 0.48/0.67 (~(i7 = i49)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 0.48/0.67 tff(1610,plain,
% 0.48/0.67 (~(i7 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1609, 1606])).
% 0.48/0.67 tff(1611,plain,
% 0.48/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1800, a_1850)) | (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1612,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(1613,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = sk(a_1800, a_1850)) | (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 0.48/0.67 tff(1614,plain,
% 0.48/0.67 ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1613, 17])).
% 0.48/0.67 tff(1615,plain,
% 0.48/0.67 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1614, 1610])).
% 0.48/0.67 tff(1616,plain,
% 0.48/0.67 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1615])).
% 0.48/0.67 tff(1617,plain,
% 0.48/0.67 ((a_1817 = store(a_1816, i27, e27)) <=> (a_1817 = store(a_1816, i27, e27))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1618,axiom,(a_1817 = store(a_1816, i27, e27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp66')).
% 0.48/0.67 tff(1619,plain,
% 0.48/0.67 (a_1817 = store(a_1816, i27, e27)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 0.48/0.67 tff(1620,plain,
% 0.48/0.67 (store(a_1816, i27, e27) = a_1817),
% 0.48/0.67 inference(symmetry,[status(thm)],[1619])).
% 0.48/0.67 tff(1621,plain,
% 0.48/0.67 (store(store(a_1816, i27, e27), i15, e15) = store(a_1817, i15, e15)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1620])).
% 0.48/0.67 tff(1622,plain,
% 0.48/0.67 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1621])).
% 0.48/0.67 tff(1623,plain,
% 0.48/0.67 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i49)),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.67 tff(1624,plain,
% 0.48/0.67 ((i15 = i49) <=> (i15 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(symmetry,[status(thm)],[1623])).
% 0.48/0.67 tff(1625,plain,
% 0.48/0.67 ((~(i15 = i49)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[1624])).
% 0.48/0.67 tff(1626,plain,
% 0.48/0.67 ((~(i15 = i49)) <=> (~(i15 = i49))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1627,axiom,(~(i15 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp699')).
% 0.48/0.67 tff(1628,plain,
% 0.48/0.67 (~(i15 = i49)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 0.48/0.67 tff(1629,plain,
% 0.48/0.67 (~(i15 = sk(a_1800, a_1850))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1628, 1625])).
% 0.48/0.67 tff(1630,plain,
% 0.48/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1800, a_1850)) | (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(1631,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(1632,plain,
% 0.48/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i15 = sk(a_1800, a_1850)) | (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 0.48/0.67 tff(1633,plain,
% 0.48/0.67 ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850)))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1632, 17])).
% 0.48/0.67 tff(1634,plain,
% 0.48/0.67 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[1633, 1629])).
% 0.48/0.67 tff(1635,plain,
% 0.48/0.67 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1634])).
% 0.48/0.68 tff(1636,plain,
% 0.48/0.68 ((a_1816 = store(a_1815, i6, e6)) <=> (a_1816 = store(a_1815, i6, e6))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1637,axiom,(a_1816 = store(a_1815, i6, e6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp65')).
% 0.48/0.68 tff(1638,plain,
% 0.48/0.68 (a_1816 = store(a_1815, i6, e6)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 0.48/0.68 tff(1639,plain,
% 0.48/0.68 (store(a_1815, i6, e6) = a_1816),
% 0.48/0.68 inference(symmetry,[status(thm)],[1638])).
% 0.48/0.68 tff(1640,plain,
% 0.48/0.68 (store(store(a_1815, i6, e6), i27, e27) = store(a_1816, i27, e27)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1639])).
% 0.48/0.68 tff(1641,plain,
% 0.48/0.68 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1640])).
% 0.48/0.68 tff(1642,plain,
% 0.48/0.68 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i49)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.68 tff(1643,plain,
% 0.48/0.68 ((i27 = i49) <=> (i27 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1642])).
% 0.48/0.68 tff(1644,plain,
% 0.48/0.68 ((~(i27 = i49)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1643])).
% 0.48/0.68 tff(1645,plain,
% 0.48/0.68 ((~(i27 = i49)) <=> (~(i27 = i49))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1646,axiom,(~(i27 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp357')).
% 0.48/0.68 tff(1647,plain,
% 0.48/0.68 (~(i27 = i49)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 0.48/0.68 tff(1648,plain,
% 0.48/0.68 (~(i27 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1647, 1644])).
% 0.48/0.68 tff(1649,plain,
% 0.48/0.68 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1800, a_1850)) | (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1650,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(1651,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i27 = sk(a_1800, a_1850)) | (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 0.48/0.68 tff(1652,plain,
% 0.48/0.68 ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1651, 17])).
% 0.48/0.68 tff(1653,plain,
% 0.48/0.68 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1652, 1648])).
% 0.48/0.68 tff(1654,plain,
% 0.48/0.68 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1653])).
% 0.48/0.68 tff(1655,plain,
% 0.48/0.68 ((a_1815 = store(a_1814, i13, e13)) <=> (a_1815 = store(a_1814, i13, e13))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1656,axiom,(a_1815 = store(a_1814, i13, e13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp64')).
% 0.48/0.68 tff(1657,plain,
% 0.48/0.68 (a_1815 = store(a_1814, i13, e13)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 0.48/0.68 tff(1658,plain,
% 0.48/0.68 (store(a_1814, i13, e13) = a_1815),
% 0.48/0.68 inference(symmetry,[status(thm)],[1657])).
% 0.48/0.68 tff(1659,plain,
% 0.48/0.68 (store(store(a_1814, i13, e13), i6, e6) = store(a_1815, i6, e6)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1658])).
% 0.48/0.68 tff(1660,plain,
% 0.48/0.68 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1659])).
% 0.48/0.68 tff(1661,plain,
% 0.48/0.68 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i49)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.68 tff(1662,plain,
% 0.48/0.68 ((i6 = i49) <=> (i6 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1661])).
% 0.48/0.68 tff(1663,plain,
% 0.48/0.68 ((~(i6 = i49)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1662])).
% 0.48/0.68 tff(1664,plain,
% 0.48/0.68 ((~(i6 = i49)) <=> (~(i6 = i49))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1665,axiom,(~(i6 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1050')).
% 0.48/0.68 tff(1666,plain,
% 0.48/0.68 (~(i6 = i49)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 0.48/0.68 tff(1667,plain,
% 0.48/0.68 (~(i6 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1666, 1663])).
% 0.48/0.68 tff(1668,plain,
% 0.48/0.68 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1800, a_1850)) | (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1669,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(1670,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i6 = sk(a_1800, a_1850)) | (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 0.48/0.68 tff(1671,plain,
% 0.48/0.68 ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1670, 17])).
% 0.48/0.68 tff(1672,plain,
% 0.48/0.68 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1671, 1667])).
% 0.48/0.68 tff(1673,plain,
% 0.48/0.68 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1672])).
% 0.48/0.68 tff(1674,plain,
% 0.48/0.68 ((a_1814 = store(a_1813, i14, e14)) <=> (a_1814 = store(a_1813, i14, e14))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1675,axiom,(a_1814 = store(a_1813, i14, e14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp63')).
% 0.48/0.68 tff(1676,plain,
% 0.48/0.68 (a_1814 = store(a_1813, i14, e14)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 0.48/0.68 tff(1677,plain,
% 0.48/0.68 (store(a_1813, i14, e14) = a_1814),
% 0.48/0.68 inference(symmetry,[status(thm)],[1676])).
% 0.48/0.68 tff(1678,plain,
% 0.48/0.68 (store(store(a_1813, i14, e14), i13, e13) = store(a_1814, i13, e13)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1677])).
% 0.48/0.68 tff(1679,plain,
% 0.48/0.68 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1678])).
% 0.48/0.68 tff(1680,plain,
% 0.48/0.68 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i49)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1009])).
% 0.48/0.68 tff(1681,plain,
% 0.48/0.68 ((i13 = i49) <=> (i13 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1680])).
% 0.48/0.68 tff(1682,plain,
% 0.48/0.68 ((~(i13 = i49)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1681])).
% 0.48/0.68 tff(1683,plain,
% 0.48/0.68 ((~(i13 = i49)) <=> (~(i13 = i49))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1684,axiom,(~(i13 = i49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp770')).
% 0.48/0.68 tff(1685,plain,
% 0.48/0.68 (~(i13 = i49)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1684, 1683])).
% 0.48/0.68 tff(1686,plain,
% 0.48/0.68 (~(i13 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1685, 1682])).
% 0.48/0.68 tff(1687,plain,
% 0.48/0.68 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1800, a_1850)) | (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1688,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(1689,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i13 = sk(a_1800, a_1850)) | (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 0.48/0.68 tff(1690,plain,
% 0.48/0.68 ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1689, 17])).
% 0.48/0.68 tff(1691,plain,
% 0.48/0.68 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1690, 1686])).
% 0.48/0.68 tff(1692,plain,
% 0.48/0.68 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1691])).
% 0.48/0.68 tff(1693,plain,
% 0.48/0.68 ((a_1813 = store(a_1812, i49, e49)) <=> (a_1813 = store(a_1812, i49, e49))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1694,axiom,(a_1813 = store(a_1812, i49, e49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp62')).
% 0.48/0.68 tff(1695,plain,
% 0.48/0.68 (a_1813 = store(a_1812, i49, e49)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 0.48/0.68 tff(1696,plain,
% 0.48/0.68 (store(a_1812, i49, e49) = a_1813),
% 0.48/0.68 inference(symmetry,[status(thm)],[1695])).
% 0.48/0.68 tff(1697,plain,
% 0.48/0.68 (store(store(a_1812, i49, e49), i14, e14) = store(a_1813, i14, e14)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1696])).
% 0.48/0.68 tff(1698,plain,
% 0.48/0.68 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1697])).
% 0.48/0.68 tff(1699,plain,
% 0.48/0.68 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = e_1853),
% 0.48/0.68 inference(transitivity,[status(thm)],[1698, 1692, 1679, 1673, 1660, 1654, 1641, 1635, 1622, 1616, 1603, 1597, 1584, 1578, 1565, 1559, 1546, 1540, 1527, 1521, 1508, 1502, 1489, 1483, 1470, 1464, 1451, 1445, 1432, 1426, 1413, 1407, 1394, 1388, 1375, 1369, 1356, 1350, 1337, 1331, 1318, 1312, 1299, 1293, 1288, 1282, 1269, 1263, 1250, 1244, 1231, 1225, 1212, 1206, 1193, 1187, 1174, 1168, 1155, 1149, 1136, 1130, 1117, 1111, 1098, 1092, 1079, 1073, 1060, 1054, 1042, 1036, 1034, 26])).
% 0.48/0.68 tff(1700,plain,
% 0.48/0.68 ((select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1699, 1031])).
% 0.48/0.68 tff(1701,plain,
% 0.48/0.68 ((select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.48/0.68 inference(transitivity,[status(thm)],[1700, 1])).
% 0.48/0.68 tff(1702,plain,
% 0.48/0.68 ((e_1852 = e_1853) <=> (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(symmetry,[status(thm)],[1701])).
% 0.48/0.68 tff(1703,plain,
% 0.48/0.68 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1702])).
% 0.48/0.68 tff(1704,plain,
% 0.48/0.68 (~(select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[999, 1703])).
% 0.48/0.68 tff(1705,plain,
% 0.48/0.68 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1800, a_1850)) | (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1706,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(1707,plain,
% 0.48/0.68 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i14 = sk(a_1800, a_1850)) | (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 0.48/0.68 tff(1708,plain,
% 0.48/0.68 ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1707, 17])).
% 0.48/0.68 tff(1709,plain,
% 0.48/0.68 ($false),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1708, 1704, 1016])).
% 0.48/0.68 tff(1710,plain,((~(i49 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.68 tff(1711,plain,
% 0.48/0.68 (~(i49 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1710, 1007, 11])).
% 0.48/0.68 tff(1712,plain,
% 0.48/0.68 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[974, 1711])).
% 0.48/0.68 tff(1713,assumption,(i37 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.48/0.68 tff(1714,plain,
% 0.48/0.68 ((i37 = i46) <=> (sk(a_1800, a_1850) = i46)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.68 tff(1715,plain,
% 0.48/0.68 ((i37 = i46) <=> (i46 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(transitivity,[status(thm)],[1714, 906])).
% 0.48/0.68 tff(1716,plain,
% 0.48/0.68 ((~(i37 = i46)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1715])).
% 0.48/0.68 tff(1717,plain,
% 0.48/0.68 ((~(i37 = i46)) <=> (~(i37 = i46))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1718,axiom,(~(i37 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp185')).
% 0.48/0.68 tff(1719,plain,
% 0.48/0.68 (~(i37 = i46)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 0.48/0.68 tff(1720,plain,
% 0.48/0.68 (~(i46 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1719, 1716])).
% 0.48/0.68 tff(1721,plain,
% 0.48/0.68 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[916, 17, 1720])).
% 0.48/0.68 tff(1722,plain,
% 0.48/0.68 ((i37 = i47) <=> (sk(a_1800, a_1850) = i47)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.68 tff(1723,plain,
% 0.48/0.68 ((i37 = i47) <=> (i47 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(transitivity,[status(thm)],[1722, 925])).
% 0.48/0.68 tff(1724,plain,
% 0.48/0.68 ((~(i37 = i47)) <=> (~(i47 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1723])).
% 0.48/0.68 tff(1725,plain,
% 0.48/0.68 ((~(i37 = i47)) <=> (~(i37 = i47))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1726,axiom,(~(i37 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp184')).
% 0.48/0.68 tff(1727,plain,
% 0.48/0.68 (~(i37 = i47)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 0.48/0.68 tff(1728,plain,
% 0.48/0.68 (~(i47 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1727, 1724])).
% 0.48/0.68 tff(1729,plain,
% 0.48/0.68 ((i47 = sk(a_1800, a_1850)) | (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[935, 17])).
% 0.48/0.68 tff(1730,plain,
% 0.48/0.68 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1729, 1728])).
% 0.48/0.68 tff(1731,plain,
% 0.48/0.68 ((i21 = i37) <=> (i21 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.68 tff(1732,plain,
% 0.48/0.68 ((~(i21 = i37)) <=> (~(i21 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1731])).
% 0.48/0.68 tff(1733,plain,
% 0.48/0.68 ((~(i21 = i37)) <=> (~(i21 = i37))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1734,axiom,(~(i21 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp522')).
% 0.48/0.68 tff(1735,plain,
% 0.48/0.68 (~(i21 = i37)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 0.48/0.68 tff(1736,plain,
% 0.48/0.68 (~(i21 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1735, 1732])).
% 0.48/0.68 tff(1737,plain,
% 0.48/0.68 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1071, 1736])).
% 0.48/0.68 tff(1738,plain,
% 0.48/0.68 (~(i1 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1001, 983])).
% 0.48/0.68 tff(1739,plain,
% 0.48/0.68 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1006, 1738])).
% 0.48/0.68 tff(1740,assumption,(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.68 tff(1741,plain,
% 0.48/0.68 ((i37 = i45) <=> (sk(a_1800, a_1850) = i45)),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.68 tff(1742,plain,
% 0.48/0.68 ((i37 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(transitivity,[status(thm)],[1741, 887])).
% 0.48/0.68 tff(1743,plain,
% 0.48/0.68 ((~(i37 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1742])).
% 0.48/0.68 tff(1744,plain,
% 0.48/0.68 ((~(i37 = i45)) <=> (~(i37 = i45))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1745,axiom,(~(i37 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp186')).
% 0.48/0.68 tff(1746,plain,
% 0.48/0.68 (~(i37 = i45)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 0.48/0.68 tff(1747,plain,
% 0.48/0.68 (~(i45 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1746, 1743])).
% 0.48/0.68 tff(1748,plain,
% 0.48/0.68 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[897, 17, 1747])).
% 0.48/0.68 tff(1749,plain,
% 0.48/0.68 ((i4 = i37) <=> (i4 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.68 tff(1750,plain,
% 0.48/0.68 ((~(i4 = i37)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[1749])).
% 0.48/0.68 tff(1751,plain,
% 0.48/0.68 ((~(i4 = i37)) <=> (~(i4 = i37))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(1752,axiom,(~(i4 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1151')).
% 0.48/0.68 tff(1753,plain,
% 0.48/0.68 (~(i4 = i37)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 0.48/0.68 tff(1754,plain,
% 0.48/0.68 (~(i4 = sk(a_1800, a_1850))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[1753, 1750])).
% 0.48/0.68 tff(1755,plain,
% 0.48/0.68 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[1108, 17, 1754])).
% 0.48/0.68 tff(1756,assumption,(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.68 tff(1757,plain,
% 0.48/0.68 ((i5 = i37) <=> (i5 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.69 tff(1758,plain,
% 0.48/0.69 ((~(i5 = i37)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1757])).
% 0.48/0.69 tff(1759,plain,
% 0.48/0.69 ((~(i5 = i37)) <=> (~(i5 = i37))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1760,axiom,(~(i5 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1106')).
% 0.48/0.69 tff(1761,plain,
% 0.48/0.69 (~(i5 = i37)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 0.48/0.69 tff(1762,plain,
% 0.48/0.69 (~(i5 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1761, 1758])).
% 0.48/0.69 tff(1763,plain,
% 0.48/0.69 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1147, 1762])).
% 0.48/0.69 tff(1764,assumption,(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.69 tff(1765,plain,
% 0.48/0.69 ((i37 = i44) <=> (sk(a_1800, a_1850) = i44)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1713])).
% 0.48/0.69 tff(1766,plain,
% 0.48/0.69 ((i37 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(transitivity,[status(thm)],[1765, 868])).
% 0.48/0.69 tff(1767,plain,
% 0.48/0.69 ((~(i37 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1766])).
% 0.48/0.69 tff(1768,plain,
% 0.48/0.69 ((~(i37 = i44)) <=> (~(i37 = i44))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1769,axiom,(~(i37 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp187')).
% 0.48/0.69 tff(1770,plain,
% 0.48/0.69 (~(i37 = i44)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 0.48/0.69 tff(1771,plain,
% 0.48/0.69 (~(i44 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1770, 1767])).
% 0.48/0.69 tff(1772,plain,
% 0.48/0.69 ((i44 = sk(a_1800, a_1850)) | (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[878, 17])).
% 0.48/0.69 tff(1773,plain,
% 0.48/0.69 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1772, 1771])).
% 0.48/0.69 tff(1774,assumption,(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.69 tff(1775,assumption,(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.69 tff(1776,assumption,(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))), introduced(assumption)).
% 0.48/0.69 tff(1777,plain,
% 0.48/0.69 ((i32 = i31) <=> (i31 = i32)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1778,assumption,(i31 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.48/0.69 tff(1779,plain,
% 0.48/0.69 (sk(a_1800, a_1850) = i31),
% 0.48/0.69 inference(symmetry,[status(thm)],[1778])).
% 0.48/0.69 tff(1780,plain,
% 0.48/0.69 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1781,plain,
% 0.48/0.69 ((i32 = sk(a_1800, a_1850)) <=> (i31 = i32)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1780, 1777])).
% 0.48/0.69 tff(1782,plain,
% 0.48/0.69 ((i31 = i32) <=> (i32 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1781])).
% 0.48/0.69 tff(1783,plain,
% 0.48/0.69 ((~(i31 = i32)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1782])).
% 0.48/0.69 tff(1784,plain,
% 0.48/0.69 ((~(i31 = i32)) <=> (~(i31 = i32))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1785,axiom,(~(i31 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp292')).
% 0.48/0.69 tff(1786,plain,
% 0.48/0.69 (~(i31 = i32)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 0.48/0.69 tff(1787,plain,
% 0.48/0.69 (~(i32 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1786, 1783])).
% 0.48/0.69 tff(1788,plain,
% 0.48/0.69 (select(store(store(a_1847, i21, e21), i31, e31), i31) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1041, 1778])).
% 0.48/0.69 tff(1789,plain,
% 0.48/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1847, i21, e21), i31, e31), i31) = e31)),
% 0.48/0.69 inference(quant_inst,[status(thm)],[])).
% 0.48/0.69 tff(1790,plain,
% 0.48/0.69 (select(store(store(a_1847, i21, e21), i31, e31), i31) = e31),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1789, 47])).
% 0.48/0.69 tff(1791,plain,
% 0.48/0.69 (e31 = select(store(store(a_1847, i21, e21), i31, e31), i31)),
% 0.48/0.69 inference(symmetry,[status(thm)],[1790])).
% 0.48/0.69 tff(1792,plain,
% 0.48/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1779, i30, e30), i31, e31), i31) = e31)),
% 0.48/0.69 inference(quant_inst,[status(thm)],[])).
% 0.48/0.69 tff(1793,plain,
% 0.48/0.69 (select(store(store(a_1779, i30, e30), i31, e31), i31) = e31),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1792, 47])).
% 0.48/0.69 tff(1794,plain,
% 0.48/0.69 (store(a_1780, i31, e31) = store(store(a_1779, i30, e30), i31, e31)),
% 0.48/0.69 inference(symmetry,[status(thm)],[629])).
% 0.48/0.69 tff(1795,plain,
% 0.48/0.69 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1794, 1779])).
% 0.48/0.69 tff(1796,plain,
% 0.48/0.69 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = e_1853),
% 0.48/0.69 inference(transitivity,[status(thm)],[1795, 1793, 1791, 1788, 1036, 1034, 26])).
% 0.48/0.69 tff(1797,plain,
% 0.48/0.69 (select(store(a_1798, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[983])).
% 0.48/0.69 tff(1798,plain,
% 0.48/0.69 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1740])).
% 0.48/0.69 tff(1799,plain,
% 0.48/0.69 ((i31 = i48) <=> (sk(a_1800, a_1850) = i48)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1778])).
% 0.48/0.69 tff(1800,plain,
% 0.48/0.69 ((i31 = i48) <=> (i48 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(transitivity,[status(thm)],[1799, 944])).
% 0.48/0.69 tff(1801,plain,
% 0.48/0.69 ((~(i31 = i48)) <=> (~(i48 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1800])).
% 0.48/0.69 tff(1802,plain,
% 0.48/0.69 ((~(i31 = i48)) <=> (~(i31 = i48))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1803,axiom,(~(i31 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp276')).
% 0.48/0.69 tff(1804,plain,
% 0.48/0.69 (~(i31 = i48)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 0.48/0.69 tff(1805,plain,
% 0.48/0.69 (~(i48 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1804, 1801])).
% 0.48/0.69 tff(1806,plain,
% 0.48/0.69 ((i48 = sk(a_1800, a_1850)) | (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[954, 17])).
% 0.48/0.69 tff(1807,plain,
% 0.48/0.69 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 0.48/0.69 tff(1808,plain,
% 0.48/0.69 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1807])).
% 0.48/0.69 tff(1809,plain,
% 0.48/0.69 ((i47 = i31) <=> (i31 = i47)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1810,plain,
% 0.48/0.69 ((i47 = sk(a_1800, a_1850)) <=> (i47 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1811,plain,
% 0.48/0.69 ((i47 = sk(a_1800, a_1850)) <=> (i31 = i47)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1810, 1809])).
% 0.48/0.69 tff(1812,plain,
% 0.48/0.69 ((i31 = i47) <=> (i47 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1811])).
% 0.48/0.69 tff(1813,plain,
% 0.48/0.69 ((~(i31 = i47)) <=> (~(i47 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1812])).
% 0.48/0.69 tff(1814,plain,
% 0.48/0.69 ((~(i31 = i47)) <=> (~(i31 = i47))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1815,axiom,(~(i31 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp277')).
% 0.48/0.69 tff(1816,plain,
% 0.48/0.69 (~(i31 = i47)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1815, 1814])).
% 0.48/0.69 tff(1817,plain,
% 0.48/0.69 (~(i47 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1816, 1813])).
% 0.48/0.69 tff(1818,plain,
% 0.48/0.69 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1729, 1817])).
% 0.48/0.69 tff(1819,plain,
% 0.48/0.69 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1818])).
% 0.48/0.69 tff(1820,plain,
% 0.48/0.69 ((i46 = i31) <=> (i31 = i46)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1821,plain,
% 0.48/0.69 ((i46 = sk(a_1800, a_1850)) <=> (i46 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1822,plain,
% 0.48/0.69 ((i46 = sk(a_1800, a_1850)) <=> (i31 = i46)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1821, 1820])).
% 0.48/0.69 tff(1823,plain,
% 0.48/0.69 ((i31 = i46) <=> (i46 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1822])).
% 0.48/0.69 tff(1824,plain,
% 0.48/0.69 ((~(i31 = i46)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1823])).
% 0.48/0.69 tff(1825,plain,
% 0.48/0.69 ((~(i31 = i46)) <=> (~(i31 = i46))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1826,axiom,(~(i31 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp278')).
% 0.48/0.69 tff(1827,plain,
% 0.48/0.69 (~(i31 = i46)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 0.48/0.69 tff(1828,plain,
% 0.48/0.69 (~(i46 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1827, 1824])).
% 0.48/0.69 tff(1829,plain,
% 0.48/0.69 ((i46 = sk(a_1800, a_1850)) | (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[916, 17])).
% 0.48/0.69 tff(1830,plain,
% 0.48/0.69 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1829, 1828])).
% 0.48/0.69 tff(1831,plain,
% 0.48/0.69 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1830])).
% 0.48/0.69 tff(1832,plain,
% 0.48/0.69 ((i45 = i31) <=> (i31 = i45)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1833,plain,
% 0.48/0.69 ((i45 = sk(a_1800, a_1850)) <=> (i45 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1834,plain,
% 0.48/0.69 ((i45 = sk(a_1800, a_1850)) <=> (i31 = i45)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1833, 1832])).
% 0.48/0.69 tff(1835,plain,
% 0.48/0.69 ((i31 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1834])).
% 0.48/0.69 tff(1836,plain,
% 0.48/0.69 ((~(i31 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1835])).
% 0.48/0.69 tff(1837,plain,
% 0.48/0.69 ((~(i31 = i45)) <=> (~(i31 = i45))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1838,axiom,(~(i31 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp279')).
% 0.48/0.69 tff(1839,plain,
% 0.48/0.69 (~(i31 = i45)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 0.48/0.69 tff(1840,plain,
% 0.48/0.69 (~(i45 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1839, 1836])).
% 0.48/0.69 tff(1841,plain,
% 0.48/0.69 ((i45 = sk(a_1800, a_1850)) | (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[897, 17])).
% 0.48/0.69 tff(1842,plain,
% 0.48/0.69 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1841, 1840])).
% 0.48/0.69 tff(1843,plain,
% 0.48/0.69 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1842])).
% 0.48/0.69 tff(1844,plain,
% 0.48/0.69 ((i44 = i31) <=> (i31 = i44)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1845,plain,
% 0.48/0.69 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1846,plain,
% 0.48/0.69 ((i44 = sk(a_1800, a_1850)) <=> (i31 = i44)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1845, 1844])).
% 0.48/0.69 tff(1847,plain,
% 0.48/0.69 ((i31 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1846])).
% 0.48/0.69 tff(1848,plain,
% 0.48/0.69 ((~(i31 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1847])).
% 0.48/0.69 tff(1849,plain,
% 0.48/0.69 ((~(i31 = i44)) <=> (~(i31 = i44))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1850,axiom,(~(i31 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp280')).
% 0.48/0.69 tff(1851,plain,
% 0.48/0.69 (~(i31 = i44)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 0.48/0.69 tff(1852,plain,
% 0.48/0.69 (~(i44 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1851, 1848])).
% 0.48/0.69 tff(1853,plain,
% 0.48/0.69 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1772, 1852])).
% 0.48/0.69 tff(1854,plain,
% 0.48/0.69 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1853])).
% 0.48/0.69 tff(1855,plain,
% 0.48/0.69 ((i43 = i31) <=> (i31 = i43)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1856,plain,
% 0.48/0.69 ((i43 = sk(a_1800, a_1850)) <=> (i43 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1857,plain,
% 0.48/0.69 ((i43 = sk(a_1800, a_1850)) <=> (i31 = i43)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1856, 1855])).
% 0.48/0.69 tff(1858,plain,
% 0.48/0.69 ((i31 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1857])).
% 0.48/0.69 tff(1859,plain,
% 0.48/0.69 ((~(i31 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1858])).
% 0.48/0.69 tff(1860,plain,
% 0.48/0.69 ((~(i31 = i43)) <=> (~(i31 = i43))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1861,axiom,(~(i31 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp281')).
% 0.48/0.69 tff(1862,plain,
% 0.48/0.69 (~(i31 = i43)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 0.48/0.69 tff(1863,plain,
% 0.48/0.69 (~(i43 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1862, 1859])).
% 0.48/0.69 tff(1864,plain,
% 0.48/0.69 ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[859, 17])).
% 0.48/0.69 tff(1865,plain,
% 0.48/0.69 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1864, 1863])).
% 0.48/0.69 tff(1866,plain,
% 0.48/0.69 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1865])).
% 0.48/0.69 tff(1867,plain,
% 0.48/0.69 ((i42 = i31) <=> (i31 = i42)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1868,plain,
% 0.48/0.69 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1869,plain,
% 0.48/0.69 ((i42 = sk(a_1800, a_1850)) <=> (i31 = i42)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1868, 1867])).
% 0.48/0.69 tff(1870,plain,
% 0.48/0.69 ((i31 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1869])).
% 0.48/0.69 tff(1871,plain,
% 0.48/0.69 ((~(i31 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1870])).
% 0.48/0.69 tff(1872,plain,
% 0.48/0.69 ((~(i31 = i42)) <=> (~(i31 = i42))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1873,axiom,(~(i31 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp282')).
% 0.48/0.69 tff(1874,plain,
% 0.48/0.69 (~(i31 = i42)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 0.48/0.69 tff(1875,plain,
% 0.48/0.69 (~(i42 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1874, 1871])).
% 0.48/0.69 tff(1876,plain,
% 0.48/0.69 ((i42 = sk(a_1800, a_1850)) | (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[840, 17])).
% 0.48/0.69 tff(1877,plain,
% 0.48/0.69 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1876, 1875])).
% 0.48/0.69 tff(1878,plain,
% 0.48/0.69 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1877])).
% 0.48/0.69 tff(1879,plain,
% 0.48/0.69 ((i41 = i31) <=> (i31 = i41)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1880,plain,
% 0.48/0.69 ((i41 = sk(a_1800, a_1850)) <=> (i41 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1881,plain,
% 0.48/0.69 ((i41 = sk(a_1800, a_1850)) <=> (i31 = i41)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1880, 1879])).
% 0.48/0.69 tff(1882,plain,
% 0.48/0.69 ((i31 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1881])).
% 0.48/0.69 tff(1883,plain,
% 0.48/0.69 ((~(i31 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1882])).
% 0.48/0.69 tff(1884,plain,
% 0.48/0.69 ((~(i31 = i41)) <=> (~(i31 = i41))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1885,axiom,(~(i31 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp283')).
% 0.48/0.69 tff(1886,plain,
% 0.48/0.69 (~(i31 = i41)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 0.48/0.69 tff(1887,plain,
% 0.48/0.69 (~(i41 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1886, 1883])).
% 0.48/0.69 tff(1888,plain,
% 0.48/0.69 ((i41 = sk(a_1800, a_1850)) | (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[821, 17])).
% 0.48/0.69 tff(1889,plain,
% 0.48/0.69 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1888, 1887])).
% 0.48/0.69 tff(1890,plain,
% 0.48/0.69 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1889])).
% 0.48/0.69 tff(1891,plain,
% 0.48/0.69 ((i40 = i31) <=> (i31 = i40)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1892,plain,
% 0.48/0.69 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1893,plain,
% 0.48/0.69 ((i40 = sk(a_1800, a_1850)) <=> (i31 = i40)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1892, 1891])).
% 0.48/0.69 tff(1894,plain,
% 0.48/0.69 ((i31 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1893])).
% 0.48/0.69 tff(1895,plain,
% 0.48/0.69 ((~(i31 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1894])).
% 0.48/0.69 tff(1896,plain,
% 0.48/0.69 ((~(i31 = i40)) <=> (~(i31 = i40))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1897,axiom,(~(i31 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp284')).
% 0.48/0.69 tff(1898,plain,
% 0.48/0.69 (~(i31 = i40)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 0.48/0.69 tff(1899,plain,
% 0.48/0.69 (~(i40 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1898, 1895])).
% 0.48/0.69 tff(1900,plain,
% 0.48/0.69 ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[800, 17])).
% 0.48/0.69 tff(1901,plain,
% 0.48/0.69 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[1900, 1899])).
% 0.48/0.69 tff(1902,plain,
% 0.48/0.69 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1901])).
% 0.48/0.69 tff(1903,plain,
% 0.48/0.69 ((i39 = i31) <=> (i31 = i39)),
% 0.48/0.69 inference(commutativity,[status(thm)],[])).
% 0.48/0.69 tff(1904,plain,
% 0.48/0.69 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i31)),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.69 tff(1905,plain,
% 0.48/0.69 ((i39 = sk(a_1800, a_1850)) <=> (i31 = i39)),
% 0.48/0.69 inference(transitivity,[status(thm)],[1904, 1903])).
% 0.48/0.69 tff(1906,plain,
% 0.48/0.69 ((i31 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(symmetry,[status(thm)],[1905])).
% 0.48/0.69 tff(1907,plain,
% 0.48/0.69 ((~(i31 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[1906])).
% 0.48/0.69 tff(1908,plain,
% 0.48/0.69 ((~(i31 = i39)) <=> (~(i31 = i39))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(1909,axiom,(~(i31 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp285')).
% 0.48/0.69 tff(1910,plain,
% 0.48/0.69 (~(i31 = i39)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 0.48/0.69 tff(1911,plain,
% 0.48/0.69 (~(i39 = sk(a_1800, a_1850))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[1910, 1907])).
% 0.48/0.70 tff(1912,plain,
% 0.48/0.70 ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[779, 17])).
% 0.48/0.70 tff(1913,plain,
% 0.48/0.70 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1912, 1911])).
% 0.48/0.70 tff(1914,plain,
% 0.48/0.70 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1913])).
% 0.48/0.70 tff(1915,plain,
% 0.48/0.70 ((i38 = i31) <=> (i31 = i38)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1916,plain,
% 0.48/0.70 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1917,plain,
% 0.48/0.70 ((i38 = sk(a_1800, a_1850)) <=> (i31 = i38)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1916, 1915])).
% 0.48/0.70 tff(1918,plain,
% 0.48/0.70 ((i31 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1917])).
% 0.48/0.70 tff(1919,plain,
% 0.48/0.70 ((~(i31 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1918])).
% 0.48/0.70 tff(1920,plain,
% 0.48/0.70 ((~(i31 = i38)) <=> (~(i31 = i38))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1921,axiom,(~(i31 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp286')).
% 0.48/0.70 tff(1922,plain,
% 0.48/0.70 (~(i31 = i38)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 0.48/0.70 tff(1923,plain,
% 0.48/0.70 (~(i38 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1922, 1919])).
% 0.48/0.70 tff(1924,plain,
% 0.48/0.70 ((i38 = sk(a_1800, a_1850)) | (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[758, 17])).
% 0.48/0.70 tff(1925,plain,
% 0.48/0.70 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1924, 1923])).
% 0.48/0.70 tff(1926,plain,
% 0.48/0.70 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1925])).
% 0.48/0.70 tff(1927,plain,
% 0.48/0.70 ((i37 = i31) <=> (i31 = i37)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1928,plain,
% 0.48/0.70 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1929,plain,
% 0.48/0.70 ((i37 = sk(a_1800, a_1850)) <=> (i31 = i37)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1928, 1927])).
% 0.48/0.70 tff(1930,plain,
% 0.48/0.70 ((i31 = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1929])).
% 0.48/0.70 tff(1931,plain,
% 0.48/0.70 ((~(i31 = i37)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1930])).
% 0.48/0.70 tff(1932,plain,
% 0.48/0.70 ((~(i31 = i37)) <=> (~(i31 = i37))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1933,axiom,(~(i31 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp287')).
% 0.48/0.70 tff(1934,plain,
% 0.48/0.70 (~(i31 = i37)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 0.48/0.70 tff(1935,plain,
% 0.48/0.70 (~(i37 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1934, 1931])).
% 0.48/0.70 tff(1936,plain,
% 0.48/0.70 ((i37 = sk(a_1800, a_1850)) | (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[737, 17])).
% 0.48/0.70 tff(1937,plain,
% 0.48/0.70 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1936, 1935])).
% 0.48/0.70 tff(1938,plain,
% 0.48/0.70 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1937])).
% 0.48/0.70 tff(1939,plain,
% 0.48/0.70 ((i36 = i31) <=> (i31 = i36)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1940,plain,
% 0.48/0.70 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1941,plain,
% 0.48/0.70 ((i36 = sk(a_1800, a_1850)) <=> (i31 = i36)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1940, 1939])).
% 0.48/0.70 tff(1942,plain,
% 0.48/0.70 ((i31 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1941])).
% 0.48/0.70 tff(1943,plain,
% 0.48/0.70 ((~(i31 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1942])).
% 0.48/0.70 tff(1944,plain,
% 0.48/0.70 ((~(i31 = i36)) <=> (~(i31 = i36))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1945,axiom,(~(i31 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp288')).
% 0.48/0.70 tff(1946,plain,
% 0.48/0.70 (~(i31 = i36)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 0.48/0.70 tff(1947,plain,
% 0.48/0.70 (~(i36 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1946, 1943])).
% 0.48/0.70 tff(1948,plain,
% 0.48/0.70 ((i36 = sk(a_1800, a_1850)) | (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[718, 17])).
% 0.48/0.70 tff(1949,plain,
% 0.48/0.70 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1948, 1947])).
% 0.48/0.70 tff(1950,plain,
% 0.48/0.70 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1949])).
% 0.48/0.70 tff(1951,plain,
% 0.48/0.70 ((i35 = i31) <=> (i31 = i35)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1952,plain,
% 0.48/0.70 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1953,plain,
% 0.48/0.70 ((i35 = sk(a_1800, a_1850)) <=> (i31 = i35)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1952, 1951])).
% 0.48/0.70 tff(1954,plain,
% 0.48/0.70 ((i31 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1953])).
% 0.48/0.70 tff(1955,plain,
% 0.48/0.70 ((~(i31 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1954])).
% 0.48/0.70 tff(1956,plain,
% 0.48/0.70 ((~(i31 = i35)) <=> (~(i31 = i35))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1957,axiom,(~(i31 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp289')).
% 0.48/0.70 tff(1958,plain,
% 0.48/0.70 (~(i31 = i35)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 0.48/0.70 tff(1959,plain,
% 0.48/0.70 (~(i35 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1958, 1955])).
% 0.48/0.70 tff(1960,plain,
% 0.48/0.70 ((i35 = sk(a_1800, a_1850)) | (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[699, 17])).
% 0.48/0.70 tff(1961,plain,
% 0.48/0.70 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1960, 1959])).
% 0.48/0.70 tff(1962,plain,
% 0.48/0.70 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1961])).
% 0.48/0.70 tff(1963,plain,
% 0.48/0.70 ((i34 = i31) <=> (i31 = i34)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1964,plain,
% 0.48/0.70 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1965,plain,
% 0.48/0.70 ((i34 = sk(a_1800, a_1850)) <=> (i31 = i34)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1964, 1963])).
% 0.48/0.70 tff(1966,plain,
% 0.48/0.70 ((i31 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1965])).
% 0.48/0.70 tff(1967,plain,
% 0.48/0.70 ((~(i31 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1966])).
% 0.48/0.70 tff(1968,plain,
% 0.48/0.70 ((~(i31 = i34)) <=> (~(i31 = i34))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1969,axiom,(~(i31 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp290')).
% 0.48/0.70 tff(1970,plain,
% 0.48/0.70 (~(i31 = i34)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 0.48/0.70 tff(1971,plain,
% 0.48/0.70 (~(i34 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1970, 1967])).
% 0.48/0.70 tff(1972,plain,
% 0.48/0.70 ((i34 = sk(a_1800, a_1850)) | (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[680, 17])).
% 0.48/0.70 tff(1973,plain,
% 0.48/0.70 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1972, 1971])).
% 0.48/0.70 tff(1974,plain,
% 0.48/0.70 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1973])).
% 0.48/0.70 tff(1975,plain,
% 0.48/0.70 ((i33 = i31) <=> (i31 = i33)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(1976,plain,
% 0.48/0.70 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i31)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1779])).
% 0.48/0.70 tff(1977,plain,
% 0.48/0.70 ((i33 = sk(a_1800, a_1850)) <=> (i31 = i33)),
% 0.48/0.70 inference(transitivity,[status(thm)],[1976, 1975])).
% 0.48/0.70 tff(1978,plain,
% 0.48/0.70 ((i31 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1977])).
% 0.48/0.70 tff(1979,plain,
% 0.48/0.70 ((~(i31 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1978])).
% 0.48/0.70 tff(1980,plain,
% 0.48/0.70 ((~(i31 = i33)) <=> (~(i31 = i33))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(1981,axiom,(~(i31 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp291')).
% 0.48/0.70 tff(1982,plain,
% 0.48/0.70 (~(i31 = i33)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 0.48/0.70 tff(1983,plain,
% 0.48/0.70 (~(i33 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[1982, 1979])).
% 0.48/0.70 tff(1984,plain,
% 0.48/0.70 ((i33 = sk(a_1800, a_1850)) | (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[661, 17])).
% 0.48/0.70 tff(1985,plain,
% 0.48/0.70 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1984, 1983])).
% 0.48/0.70 tff(1986,plain,
% 0.48/0.70 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1985])).
% 0.48/0.70 tff(1987,plain,
% 0.48/0.70 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = e_1852),
% 0.48/0.70 inference(transitivity,[status(thm)],[649, 1986, 668, 1974, 687, 1962, 706, 1950, 725, 1938, 744, 1926, 767, 1914, 786, 1902, 809, 1890, 828, 1878, 847, 1866, 866, 1854, 885, 1843, 904, 1831, 923, 1819, 942, 1808, 961, 1798, 981, 1797, 994, 5])).
% 0.48/0.70 tff(1988,plain,
% 0.48/0.70 ((select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1987, 1796])).
% 0.48/0.70 tff(1989,plain,
% 0.48/0.70 ((e_1852 = e_1853) <=> (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1988])).
% 0.48/0.70 tff(1990,plain,
% 0.48/0.70 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1989])).
% 0.48/0.70 tff(1991,plain,
% 0.48/0.70 (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[999, 1990])).
% 0.48/0.70 tff(1992,plain,
% 0.48/0.70 ((i32 = sk(a_1800, a_1850)) | (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[642, 17])).
% 0.48/0.70 tff(1993,plain,
% 0.48/0.70 ($false),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1992, 1991, 1787])).
% 0.48/0.70 tff(1994,plain,((~(i31 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.70 tff(1995,plain,
% 0.48/0.70 (~(i31 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1994, 1035, 1740, 983])).
% 0.48/0.70 tff(1996,plain,
% 0.48/0.70 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1052, 1995])).
% 0.48/0.70 tff(1997,plain,
% 0.48/0.70 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1996])).
% 0.48/0.70 tff(1998,plain,
% 0.48/0.70 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[1774])).
% 0.48/0.70 tff(1999,plain,
% 0.48/0.70 ((i25 = i24) <=> (i24 = i25)),
% 0.48/0.70 inference(commutativity,[status(thm)],[])).
% 0.48/0.70 tff(2000,assumption,(i24 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.48/0.70 tff(2001,plain,
% 0.48/0.70 (sk(a_1800, a_1850) = i24),
% 0.48/0.70 inference(symmetry,[status(thm)],[2000])).
% 0.48/0.70 tff(2002,plain,
% 0.48/0.70 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i24)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2001])).
% 0.48/0.70 tff(2003,plain,
% 0.48/0.70 ((i25 = sk(a_1800, a_1850)) <=> (i24 = i25)),
% 0.48/0.70 inference(transitivity,[status(thm)],[2002, 1999])).
% 0.48/0.70 tff(2004,plain,
% 0.48/0.70 ((i24 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2003])).
% 0.48/0.70 tff(2005,plain,
% 0.48/0.70 ((~(i24 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2004])).
% 0.48/0.70 tff(2006,plain,
% 0.48/0.70 ((~(i24 = i25)) <=> (~(i24 = i25))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(2007,axiom,(~(i24 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp453')).
% 0.48/0.70 tff(2008,plain,
% 0.48/0.70 (~(i24 = i25)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2007, 2006])).
% 0.48/0.70 tff(2009,plain,
% 0.48/0.70 (~(i25 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2008, 2005])).
% 0.48/0.70 tff(2010,plain,
% 0.48/0.70 (select(store(store(a_1845, i4, e4), i24, e24), i24) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[1078, 2000])).
% 0.48/0.70 tff(2011,plain,
% 0.48/0.70 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1845, i4, e4), i24, e24), i24) = e24)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(2012,plain,
% 0.48/0.70 (select(store(store(a_1845, i4, e4), i24, e24), i24) = e24),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[2011, 47])).
% 0.48/0.70 tff(2013,plain,
% 0.48/0.70 (e24 = select(store(store(a_1845, i4, e4), i24, e24), i24)),
% 0.48/0.70 inference(symmetry,[status(thm)],[2012])).
% 0.48/0.70 tff(2014,plain,
% 0.48/0.70 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1772, i23, e23), i24, e24), i24) = e24)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(2015,plain,
% 0.48/0.70 (select(store(store(a_1772, i23, e23), i24, e24), i24) = e24),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[2014, 47])).
% 0.48/0.70 tff(2016,plain,
% 0.48/0.70 (store(a_1773, i24, e24) = store(store(a_1772, i23, e23), i24, e24)),
% 0.48/0.70 inference(symmetry,[status(thm)],[492])).
% 0.48/0.70 tff(2017,plain,
% 0.48/0.70 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), i24)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2016, 2001])).
% 0.48/0.70 tff(2018,plain,
% 0.48/0.70 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = e_1853),
% 0.48/0.70 inference(transitivity,[status(thm)],[2017, 2015, 2013, 2010, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.48/0.70 tff(2019,assumption,(i48 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.48/0.70 tff(2020,plain,
% 0.48/0.70 (sk(a_1800, a_1850) = i48),
% 0.48/0.70 inference(symmetry,[status(thm)],[2019])).
% 0.48/0.70 tff(2021,plain,
% 0.48/0.70 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i48)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2020])).
% 0.48/0.70 tff(2022,plain,
% 0.48/0.70 ((i29 = i48) <=> (i29 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2021])).
% 0.48/0.70 tff(2023,plain,
% 0.48/0.70 ((~(i29 = i48)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2022])).
% 0.48/0.70 tff(2024,plain,
% 0.48/0.70 ((~(i29 = i48)) <=> (~(i29 = i48))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(2025,axiom,(~(i29 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp315')).
% 0.48/0.70 tff(2026,plain,
% 0.48/0.70 (~(i29 = i48)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 0.48/0.70 tff(2027,plain,
% 0.48/0.70 (~(i29 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2026, 2023])).
% 0.48/0.70 tff(2028,plain,
% 0.48/0.70 (select(store(store(a_1796, i47, e47), i48, e48), i48) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[960, 2019])).
% 0.48/0.70 tff(2029,plain,
% 0.48/0.70 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1796, i47, e47), i48, e48), i48) = e48)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(2030,plain,
% 0.48/0.70 (select(store(store(a_1796, i47, e47), i48, e48), i48) = e48),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[2029, 47])).
% 0.48/0.70 tff(2031,plain,
% 0.48/0.70 (e48 = select(store(store(a_1796, i47, e47), i48, e48), i48)),
% 0.48/0.70 inference(symmetry,[status(thm)],[2030])).
% 0.48/0.70 tff(2032,plain,
% 0.48/0.70 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1837, i10, e10), i48, e48), i48) = e48)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(2033,plain,
% 0.48/0.70 (select(store(store(a_1837, i10, e10), i48, e48), i48) = e48),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[2032, 47])).
% 0.48/0.70 tff(2034,plain,
% 0.48/0.70 (store(a_1838, i48, e48) = store(store(a_1837, i10, e10), i48, e48)),
% 0.48/0.70 inference(symmetry,[status(thm)],[1230])).
% 0.48/0.70 tff(2035,plain,
% 0.48/0.70 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), i48)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2034, 2020])).
% 0.48/0.70 tff(2036,plain,
% 0.48/0.70 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = e_1852),
% 0.48/0.70 inference(transitivity,[status(thm)],[2035, 2033, 2031, 2028, 1798, 981, 1797, 994, 5])).
% 0.48/0.70 tff(2037,plain,
% 0.48/0.70 ((i21 = i48) <=> (i21 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2019])).
% 0.48/0.70 tff(2038,plain,
% 0.48/0.70 ((~(i21 = i48)) <=> (~(i21 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2037])).
% 0.48/0.70 tff(2039,plain,
% 0.48/0.70 ((~(i21 = i48)) <=> (~(i21 = i48))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(2040,axiom,(~(i21 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp511')).
% 0.48/0.70 tff(2041,plain,
% 0.48/0.70 (~(i21 = i48)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 0.48/0.70 tff(2042,plain,
% 0.48/0.70 (~(i21 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2041, 2038])).
% 0.48/0.70 tff(2043,plain,
% 0.48/0.70 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1071, 2042])).
% 0.48/0.70 tff(2044,plain,
% 0.48/0.70 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2043])).
% 0.48/0.70 tff(2045,plain,
% 0.48/0.70 ((i24 = sk(a_1800, a_1850)) <=> (i24 = i48)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2020])).
% 0.48/0.70 tff(2046,plain,
% 0.48/0.70 ((i24 = i48) <=> (i24 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2045])).
% 0.48/0.70 tff(2047,plain,
% 0.48/0.70 ((~(i24 = i48)) <=> (~(i24 = sk(a_1800, a_1850)))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2046])).
% 0.48/0.70 tff(2048,plain,
% 0.48/0.70 ((~(i24 = i48)) <=> (~(i24 = i48))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(2049,axiom,(~(i24 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp430')).
% 0.48/0.70 tff(2050,plain,
% 0.48/0.70 (~(i24 = i48)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 0.48/0.70 tff(2051,plain,
% 0.48/0.70 (~(i24 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[2050, 2047])).
% 0.48/0.70 tff(2052,plain,
% 0.48/0.70 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[1090, 2051])).
% 0.48/0.70 tff(2053,plain,
% 0.48/0.70 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2052])).
% 0.48/0.70 tff(2054,plain,
% 0.48/0.70 ((i4 = sk(a_1800, a_1850)) <=> (i4 = i48)),
% 0.48/0.70 inference(monotonicity,[status(thm)],[2020])).
% 0.48/0.70 tff(2055,plain,
% 0.48/0.70 ((i4 = i48) <=> (i4 = sk(a_1800, a_1850))),
% 0.48/0.70 inference(symmetry,[status(thm)],[2054])).
% 0.54/0.71 tff(2056,plain,
% 0.54/0.71 ((~(i4 = i48)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2055])).
% 0.54/0.71 tff(2057,plain,
% 0.54/0.71 ((~(i4 = i48)) <=> (~(i4 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2058,axiom,(~(i4 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1140')).
% 0.54/0.71 tff(2059,plain,
% 0.54/0.71 (~(i4 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 0.54/0.71 tff(2060,plain,
% 0.54/0.71 (~(i4 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2059, 2056])).
% 0.54/0.71 tff(2061,plain,
% 0.54/0.71 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1109, 2060])).
% 0.54/0.71 tff(2062,plain,
% 0.54/0.71 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2061])).
% 0.54/0.71 tff(2063,plain,
% 0.54/0.71 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i48)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2020])).
% 0.54/0.71 tff(2064,plain,
% 0.54/0.71 ((i32 = i48) <=> (i32 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2063])).
% 0.54/0.71 tff(2065,plain,
% 0.54/0.71 ((~(i32 = i48)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2064])).
% 0.54/0.71 tff(2066,plain,
% 0.54/0.71 ((~(i32 = i48)) <=> (~(i32 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2067,axiom,(~(i32 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp258')).
% 0.54/0.71 tff(2068,plain,
% 0.54/0.71 (~(i32 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 0.54/0.71 tff(2069,plain,
% 0.54/0.71 (~(i32 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2068, 2065])).
% 0.54/0.71 tff(2070,plain,
% 0.54/0.71 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1128, 2069])).
% 0.54/0.71 tff(2071,plain,
% 0.54/0.71 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2070])).
% 0.54/0.71 tff(2072,plain,
% 0.54/0.71 ((i5 = sk(a_1800, a_1850)) <=> (i5 = i48)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2020])).
% 0.54/0.71 tff(2073,plain,
% 0.54/0.71 ((i5 = i48) <=> (i5 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2072])).
% 0.54/0.71 tff(2074,plain,
% 0.54/0.71 ((~(i5 = i48)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2073])).
% 0.54/0.71 tff(2075,plain,
% 0.54/0.71 ((~(i5 = i48)) <=> (~(i5 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2076,axiom,(~(i5 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1095')).
% 0.54/0.71 tff(2077,plain,
% 0.54/0.71 (~(i5 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 0.54/0.71 tff(2078,plain,
% 0.54/0.71 (~(i5 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2077, 2074])).
% 0.54/0.71 tff(2079,plain,
% 0.54/0.71 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1147, 2078])).
% 0.54/0.71 tff(2080,plain,
% 0.54/0.71 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2079])).
% 0.54/0.71 tff(2081,plain,
% 0.54/0.71 ((i12 = sk(a_1800, a_1850)) <=> (i12 = i48)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2020])).
% 0.54/0.71 tff(2082,plain,
% 0.54/0.71 ((i12 = i48) <=> (i12 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2081])).
% 0.54/0.71 tff(2083,plain,
% 0.54/0.71 ((~(i12 = i48)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2082])).
% 0.54/0.71 tff(2084,plain,
% 0.54/0.71 ((~(i12 = i48)) <=> (~(i12 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2085,axiom,(~(i12 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp808')).
% 0.54/0.71 tff(2086,plain,
% 0.54/0.71 (~(i12 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 0.54/0.71 tff(2087,plain,
% 0.54/0.71 (~(i12 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2086, 2083])).
% 0.54/0.71 tff(2088,plain,
% 0.54/0.71 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1166, 2087])).
% 0.54/0.71 tff(2089,plain,
% 0.54/0.71 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2088])).
% 0.54/0.71 tff(2090,plain,
% 0.54/0.71 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i48)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2020])).
% 0.54/0.71 tff(2091,plain,
% 0.54/0.71 ((i37 = i48) <=> (i37 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2090])).
% 0.54/0.71 tff(2092,plain,
% 0.54/0.71 ((~(i37 = i48)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2091])).
% 0.54/0.71 tff(2093,plain,
% 0.54/0.71 ((~(i37 = i48)) <=> (~(i37 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2094,axiom,(~(i37 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp183')).
% 0.54/0.71 tff(2095,plain,
% 0.54/0.71 (~(i37 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 0.54/0.71 tff(2096,plain,
% 0.54/0.71 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2095, 2092])).
% 0.54/0.71 tff(2097,plain,
% 0.54/0.71 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1185, 2096])).
% 0.54/0.71 tff(2098,plain,
% 0.54/0.71 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2097])).
% 0.54/0.71 tff(2099,plain,
% 0.54/0.71 ((i3 = sk(a_1800, a_1850)) <=> (i3 = i48)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2020])).
% 0.54/0.71 tff(2100,plain,
% 0.54/0.71 ((i3 = i48) <=> (i3 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2099])).
% 0.54/0.71 tff(2101,plain,
% 0.54/0.71 ((~(i3 = i48)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2100])).
% 0.54/0.71 tff(2102,plain,
% 0.54/0.71 ((~(i3 = i48)) <=> (~(i3 = i48))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2103,axiom,(~(i3 = i48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1186')).
% 0.54/0.71 tff(2104,plain,
% 0.54/0.71 (~(i3 = i48)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 0.54/0.71 tff(2105,plain,
% 0.54/0.71 (~(i3 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2104, 2101])).
% 0.54/0.71 tff(2106,plain,
% 0.54/0.71 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1204, 2105])).
% 0.54/0.71 tff(2107,plain,
% 0.54/0.71 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2106])).
% 0.54/0.71 tff(2108,plain,
% 0.54/0.71 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = e_1853),
% 0.54/0.71 inference(transitivity,[status(thm)],[1212, 2107, 1193, 2098, 1174, 2089, 1155, 2080, 1136, 2071, 1117, 2062, 1098, 2053, 1079, 2044, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.54/0.71 tff(2109,plain,
% 0.54/0.71 ((select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2108, 2036])).
% 0.54/0.71 tff(2110,plain,
% 0.54/0.71 ((select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2109, 1])).
% 0.54/0.71 tff(2111,plain,
% 0.54/0.71 ((e_1852 = e_1853) <=> (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2110])).
% 0.54/0.71 tff(2112,plain,
% 0.54/0.71 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2111])).
% 0.54/0.71 tff(2113,plain,
% 0.54/0.71 (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[999, 2112])).
% 0.54/0.71 tff(2114,plain,
% 0.54/0.71 ($false),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1223, 2113, 2027])).
% 0.54/0.71 tff(2115,plain,((~(i48 = sk(a_1800, a_1850))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.71 tff(2116,plain,
% 0.54/0.71 (~(i48 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[2115, 1740, 983, 1035])).
% 0.54/0.71 tff(2117,plain,
% 0.54/0.71 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1806, 2116])).
% 0.54/0.71 tff(2118,plain,
% 0.54/0.71 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2117])).
% 0.54/0.71 tff(2119,plain,
% 0.54/0.71 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[1756])).
% 0.54/0.71 tff(2120,plain,
% 0.54/0.71 ((i24 = i46) <=> (sk(a_1800, a_1850) = i46)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2000])).
% 0.54/0.71 tff(2121,plain,
% 0.54/0.71 ((i24 = i46) <=> (i46 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(transitivity,[status(thm)],[2120, 906])).
% 0.54/0.71 tff(2122,plain,
% 0.54/0.71 ((~(i24 = i46)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2121])).
% 0.54/0.71 tff(2123,plain,
% 0.54/0.71 ((~(i24 = i46)) <=> (~(i24 = i46))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2124,axiom,(~(i24 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp432')).
% 0.54/0.71 tff(2125,plain,
% 0.54/0.71 (~(i24 = i46)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 0.54/0.71 tff(2126,plain,
% 0.54/0.71 (~(i46 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2125, 2122])).
% 0.54/0.71 tff(2127,plain,
% 0.54/0.71 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1829, 2126])).
% 0.54/0.71 tff(2128,plain,
% 0.54/0.71 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2127])).
% 0.54/0.71 tff(2129,plain,
% 0.54/0.71 ((i45 = i24) <=> (i24 = i45)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2130,plain,
% 0.54/0.71 ((i45 = sk(a_1800, a_1850)) <=> (i45 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2131,plain,
% 0.54/0.71 ((i45 = sk(a_1800, a_1850)) <=> (i24 = i45)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2130, 2129])).
% 0.54/0.71 tff(2132,plain,
% 0.54/0.71 ((i24 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2131])).
% 0.54/0.71 tff(2133,plain,
% 0.54/0.71 ((~(i24 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2132])).
% 0.54/0.71 tff(2134,plain,
% 0.54/0.71 ((~(i24 = i45)) <=> (~(i24 = i45))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2135,axiom,(~(i24 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp433')).
% 0.54/0.71 tff(2136,plain,
% 0.54/0.71 (~(i24 = i45)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 0.54/0.71 tff(2137,plain,
% 0.54/0.71 (~(i45 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2136, 2133])).
% 0.54/0.71 tff(2138,plain,
% 0.54/0.71 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1841, 2137])).
% 0.54/0.71 tff(2139,plain,
% 0.54/0.71 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2138])).
% 0.54/0.71 tff(2140,plain,
% 0.54/0.71 ((i44 = i24) <=> (i24 = i44)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2141,plain,
% 0.54/0.71 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2142,plain,
% 0.54/0.71 ((i44 = sk(a_1800, a_1850)) <=> (i24 = i44)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2141, 2140])).
% 0.54/0.71 tff(2143,plain,
% 0.54/0.71 ((i24 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2142])).
% 0.54/0.71 tff(2144,plain,
% 0.54/0.71 ((~(i24 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2143])).
% 0.54/0.71 tff(2145,plain,
% 0.54/0.71 ((~(i24 = i44)) <=> (~(i24 = i44))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2146,axiom,(~(i24 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp434')).
% 0.54/0.71 tff(2147,plain,
% 0.54/0.71 (~(i24 = i44)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2146, 2145])).
% 0.54/0.71 tff(2148,plain,
% 0.54/0.71 (~(i44 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2147, 2144])).
% 0.54/0.71 tff(2149,plain,
% 0.54/0.71 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1772, 2148])).
% 0.54/0.71 tff(2150,plain,
% 0.54/0.71 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2149])).
% 0.54/0.71 tff(2151,plain,
% 0.54/0.71 ((i43 = i24) <=> (i24 = i43)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2152,plain,
% 0.54/0.71 ((i43 = sk(a_1800, a_1850)) <=> (i43 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2153,plain,
% 0.54/0.71 ((i43 = sk(a_1800, a_1850)) <=> (i24 = i43)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2152, 2151])).
% 0.54/0.71 tff(2154,plain,
% 0.54/0.71 ((i24 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2153])).
% 0.54/0.71 tff(2155,plain,
% 0.54/0.71 ((~(i24 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2154])).
% 0.54/0.71 tff(2156,plain,
% 0.54/0.71 ((~(i24 = i43)) <=> (~(i24 = i43))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2157,axiom,(~(i24 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp435')).
% 0.54/0.71 tff(2158,plain,
% 0.54/0.71 (~(i24 = i43)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 0.54/0.71 tff(2159,plain,
% 0.54/0.71 (~(i43 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2158, 2155])).
% 0.54/0.71 tff(2160,plain,
% 0.54/0.71 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1864, 2159])).
% 0.54/0.71 tff(2161,plain,
% 0.54/0.71 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2160])).
% 0.54/0.71 tff(2162,plain,
% 0.54/0.71 ((i42 = i24) <=> (i24 = i42)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2163,plain,
% 0.54/0.71 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2164,plain,
% 0.54/0.71 ((i42 = sk(a_1800, a_1850)) <=> (i24 = i42)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2163, 2162])).
% 0.54/0.71 tff(2165,plain,
% 0.54/0.71 ((i24 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2164])).
% 0.54/0.71 tff(2166,plain,
% 0.54/0.71 ((~(i24 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2165])).
% 0.54/0.71 tff(2167,plain,
% 0.54/0.71 ((~(i24 = i42)) <=> (~(i24 = i42))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2168,axiom,(~(i24 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp436')).
% 0.54/0.71 tff(2169,plain,
% 0.54/0.71 (~(i24 = i42)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 0.54/0.71 tff(2170,plain,
% 0.54/0.71 (~(i42 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2169, 2166])).
% 0.54/0.71 tff(2171,plain,
% 0.54/0.71 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1876, 2170])).
% 0.54/0.71 tff(2172,plain,
% 0.54/0.71 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2171])).
% 0.54/0.71 tff(2173,plain,
% 0.54/0.71 ((i41 = i24) <=> (i24 = i41)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2174,plain,
% 0.54/0.71 ((i41 = sk(a_1800, a_1850)) <=> (i41 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2175,plain,
% 0.54/0.71 ((i41 = sk(a_1800, a_1850)) <=> (i24 = i41)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2174, 2173])).
% 0.54/0.71 tff(2176,plain,
% 0.54/0.71 ((i24 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2175])).
% 0.54/0.71 tff(2177,plain,
% 0.54/0.71 ((~(i24 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2176])).
% 0.54/0.71 tff(2178,plain,
% 0.54/0.71 ((~(i24 = i41)) <=> (~(i24 = i41))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2179,axiom,(~(i24 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp437')).
% 0.54/0.71 tff(2180,plain,
% 0.54/0.71 (~(i24 = i41)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 0.54/0.71 tff(2181,plain,
% 0.54/0.71 (~(i41 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2180, 2177])).
% 0.54/0.71 tff(2182,plain,
% 0.54/0.71 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1888, 2181])).
% 0.54/0.71 tff(2183,plain,
% 0.54/0.71 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2182])).
% 0.54/0.71 tff(2184,plain,
% 0.54/0.71 ((i40 = i24) <=> (i24 = i40)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2185,plain,
% 0.54/0.71 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2186,plain,
% 0.54/0.71 ((i40 = sk(a_1800, a_1850)) <=> (i24 = i40)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2185, 2184])).
% 0.54/0.71 tff(2187,plain,
% 0.54/0.71 ((i24 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2186])).
% 0.54/0.71 tff(2188,plain,
% 0.54/0.71 ((~(i24 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2187])).
% 0.54/0.71 tff(2189,plain,
% 0.54/0.71 ((~(i24 = i40)) <=> (~(i24 = i40))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2190,axiom,(~(i24 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp438')).
% 0.54/0.71 tff(2191,plain,
% 0.54/0.71 (~(i24 = i40)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 0.54/0.71 tff(2192,plain,
% 0.54/0.71 (~(i40 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2191, 2188])).
% 0.54/0.71 tff(2193,plain,
% 0.54/0.71 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1900, 2192])).
% 0.54/0.71 tff(2194,plain,
% 0.54/0.71 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2193])).
% 0.54/0.71 tff(2195,plain,
% 0.54/0.71 ((i39 = i24) <=> (i24 = i39)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2196,plain,
% 0.54/0.71 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2197,plain,
% 0.54/0.71 ((i39 = sk(a_1800, a_1850)) <=> (i24 = i39)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2196, 2195])).
% 0.54/0.71 tff(2198,plain,
% 0.54/0.71 ((i24 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2197])).
% 0.54/0.71 tff(2199,plain,
% 0.54/0.71 ((~(i24 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2198])).
% 0.54/0.71 tff(2200,plain,
% 0.54/0.71 ((~(i24 = i39)) <=> (~(i24 = i39))),
% 0.54/0.71 inference(rewrite,[status(thm)],[])).
% 0.54/0.71 tff(2201,axiom,(~(i24 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp439')).
% 0.54/0.71 tff(2202,plain,
% 0.54/0.71 (~(i24 = i39)),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 0.54/0.71 tff(2203,plain,
% 0.54/0.71 (~(i39 = sk(a_1800, a_1850))),
% 0.54/0.71 inference(modus_ponens,[status(thm)],[2202, 2199])).
% 0.54/0.71 tff(2204,plain,
% 0.54/0.71 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.54/0.71 inference(unit_resolution,[status(thm)],[1912, 2203])).
% 0.54/0.71 tff(2205,plain,
% 0.54/0.71 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.54/0.71 inference(symmetry,[status(thm)],[2204])).
% 0.54/0.71 tff(2206,plain,
% 0.54/0.71 ((i38 = i24) <=> (i24 = i38)),
% 0.54/0.71 inference(commutativity,[status(thm)],[])).
% 0.54/0.71 tff(2207,plain,
% 0.54/0.71 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i24)),
% 0.54/0.71 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.71 tff(2208,plain,
% 0.54/0.71 ((i38 = sk(a_1800, a_1850)) <=> (i24 = i38)),
% 0.54/0.71 inference(transitivity,[status(thm)],[2207, 2206])).
% 0.54/0.71 tff(2209,plain,
% 0.54/0.71 ((i24 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2208])).
% 0.54/0.72 tff(2210,plain,
% 0.54/0.72 ((~(i24 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2209])).
% 0.54/0.72 tff(2211,plain,
% 0.54/0.72 ((~(i24 = i38)) <=> (~(i24 = i38))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2212,axiom,(~(i24 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp440')).
% 0.54/0.72 tff(2213,plain,
% 0.54/0.72 (~(i24 = i38)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2212, 2211])).
% 0.54/0.72 tff(2214,plain,
% 0.54/0.72 (~(i38 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2213, 2210])).
% 0.54/0.72 tff(2215,plain,
% 0.54/0.72 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1924, 2214])).
% 0.54/0.72 tff(2216,plain,
% 0.54/0.72 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2215])).
% 0.54/0.72 tff(2217,plain,
% 0.54/0.72 ((i37 = i24) <=> (i24 = i37)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2218,plain,
% 0.54/0.72 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2219,plain,
% 0.54/0.72 ((i37 = sk(a_1800, a_1850)) <=> (i24 = i37)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2218, 2217])).
% 0.54/0.72 tff(2220,plain,
% 0.54/0.72 ((i24 = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2219])).
% 0.54/0.72 tff(2221,plain,
% 0.54/0.72 ((~(i24 = i37)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2220])).
% 0.54/0.72 tff(2222,plain,
% 0.54/0.72 ((~(i24 = i37)) <=> (~(i24 = i37))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2223,axiom,(~(i24 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp441')).
% 0.54/0.72 tff(2224,plain,
% 0.54/0.72 (~(i24 = i37)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 0.54/0.72 tff(2225,plain,
% 0.54/0.72 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2224, 2221])).
% 0.54/0.72 tff(2226,plain,
% 0.54/0.72 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1936, 2225])).
% 0.54/0.72 tff(2227,plain,
% 0.54/0.72 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2226])).
% 0.54/0.72 tff(2228,plain,
% 0.54/0.72 ((i36 = i24) <=> (i24 = i36)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2229,plain,
% 0.54/0.72 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2230,plain,
% 0.54/0.72 ((i36 = sk(a_1800, a_1850)) <=> (i24 = i36)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2229, 2228])).
% 0.54/0.72 tff(2231,plain,
% 0.54/0.72 ((i24 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2230])).
% 0.54/0.72 tff(2232,plain,
% 0.54/0.72 ((~(i24 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2231])).
% 0.54/0.72 tff(2233,plain,
% 0.54/0.72 ((~(i24 = i36)) <=> (~(i24 = i36))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2234,axiom,(~(i24 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp442')).
% 0.54/0.72 tff(2235,plain,
% 0.54/0.72 (~(i24 = i36)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 0.54/0.72 tff(2236,plain,
% 0.54/0.72 (~(i36 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2235, 2232])).
% 0.54/0.72 tff(2237,plain,
% 0.54/0.72 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1948, 2236])).
% 0.54/0.72 tff(2238,plain,
% 0.54/0.72 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2237])).
% 0.54/0.72 tff(2239,plain,
% 0.54/0.72 ((i35 = i24) <=> (i24 = i35)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2240,plain,
% 0.54/0.72 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2241,plain,
% 0.54/0.72 ((i35 = sk(a_1800, a_1850)) <=> (i24 = i35)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2240, 2239])).
% 0.54/0.72 tff(2242,plain,
% 0.54/0.72 ((i24 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2241])).
% 0.54/0.72 tff(2243,plain,
% 0.54/0.72 ((~(i24 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2242])).
% 0.54/0.72 tff(2244,plain,
% 0.54/0.72 ((~(i24 = i35)) <=> (~(i24 = i35))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2245,axiom,(~(i24 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp443')).
% 0.54/0.72 tff(2246,plain,
% 0.54/0.72 (~(i24 = i35)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2245, 2244])).
% 0.54/0.72 tff(2247,plain,
% 0.54/0.72 (~(i35 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2246, 2243])).
% 0.54/0.72 tff(2248,plain,
% 0.54/0.72 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1960, 2247])).
% 0.54/0.72 tff(2249,plain,
% 0.54/0.72 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2248])).
% 0.54/0.72 tff(2250,plain,
% 0.54/0.72 ((i34 = i24) <=> (i24 = i34)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2251,plain,
% 0.54/0.72 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2252,plain,
% 0.54/0.72 ((i34 = sk(a_1800, a_1850)) <=> (i24 = i34)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2251, 2250])).
% 0.54/0.72 tff(2253,plain,
% 0.54/0.72 ((i24 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2252])).
% 0.54/0.72 tff(2254,plain,
% 0.54/0.72 ((~(i24 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2253])).
% 0.54/0.72 tff(2255,plain,
% 0.54/0.72 ((~(i24 = i34)) <=> (~(i24 = i34))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2256,axiom,(~(i24 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp444')).
% 0.54/0.72 tff(2257,plain,
% 0.54/0.72 (~(i24 = i34)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2256, 2255])).
% 0.54/0.72 tff(2258,plain,
% 0.54/0.72 (~(i34 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2257, 2254])).
% 0.54/0.72 tff(2259,plain,
% 0.54/0.72 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1972, 2258])).
% 0.54/0.72 tff(2260,plain,
% 0.54/0.72 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2259])).
% 0.54/0.72 tff(2261,plain,
% 0.54/0.72 ((i33 = i24) <=> (i24 = i33)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2262,plain,
% 0.54/0.72 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2263,plain,
% 0.54/0.72 ((i33 = sk(a_1800, a_1850)) <=> (i24 = i33)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2262, 2261])).
% 0.54/0.72 tff(2264,plain,
% 0.54/0.72 ((i24 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2263])).
% 0.54/0.72 tff(2265,plain,
% 0.54/0.72 ((~(i24 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2264])).
% 0.54/0.72 tff(2266,plain,
% 0.54/0.72 ((~(i24 = i33)) <=> (~(i24 = i33))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2267,axiom,(~(i24 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp445')).
% 0.54/0.72 tff(2268,plain,
% 0.54/0.72 (~(i24 = i33)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2267, 2266])).
% 0.54/0.72 tff(2269,plain,
% 0.54/0.72 (~(i33 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2268, 2265])).
% 0.54/0.72 tff(2270,plain,
% 0.54/0.72 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1984, 2269])).
% 0.54/0.72 tff(2271,plain,
% 0.54/0.72 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2270])).
% 0.54/0.72 tff(2272,plain,
% 0.54/0.72 ((i32 = i24) <=> (i24 = i32)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2273,plain,
% 0.54/0.72 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2274,plain,
% 0.54/0.72 ((i32 = sk(a_1800, a_1850)) <=> (i24 = i32)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2273, 2272])).
% 0.54/0.72 tff(2275,plain,
% 0.54/0.72 ((i24 = i32) <=> (i32 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2274])).
% 0.54/0.72 tff(2276,plain,
% 0.54/0.72 ((~(i24 = i32)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2275])).
% 0.54/0.72 tff(2277,plain,
% 0.54/0.72 ((~(i24 = i32)) <=> (~(i24 = i32))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2278,axiom,(~(i24 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp446')).
% 0.54/0.72 tff(2279,plain,
% 0.54/0.72 (~(i24 = i32)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 0.54/0.72 tff(2280,plain,
% 0.54/0.72 (~(i32 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2279, 2276])).
% 0.54/0.72 tff(2281,plain,
% 0.54/0.72 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1992, 2280])).
% 0.54/0.72 tff(2282,plain,
% 0.54/0.72 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2281])).
% 0.54/0.72 tff(2283,plain,
% 0.54/0.72 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[623, 17, 1995])).
% 0.54/0.72 tff(2284,plain,
% 0.54/0.72 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2283])).
% 0.54/0.72 tff(2285,plain,
% 0.54/0.72 ((i30 = i24) <=> (i24 = i30)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2286,plain,
% 0.54/0.72 ((i30 = sk(a_1800, a_1850)) <=> (i30 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2287,plain,
% 0.54/0.72 ((i30 = sk(a_1800, a_1850)) <=> (i24 = i30)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2286, 2285])).
% 0.54/0.72 tff(2288,plain,
% 0.54/0.72 ((i24 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2287])).
% 0.54/0.72 tff(2289,plain,
% 0.54/0.72 ((~(i24 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2288])).
% 0.54/0.72 tff(2290,plain,
% 0.54/0.72 ((~(i24 = i30)) <=> (~(i24 = i30))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2291,axiom,(~(i24 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp448')).
% 0.54/0.72 tff(2292,plain,
% 0.54/0.72 (~(i24 = i30)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 0.54/0.72 tff(2293,plain,
% 0.54/0.72 (~(i30 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2292, 2289])).
% 0.54/0.72 tff(2294,plain,
% 0.54/0.72 ((i30 = sk(a_1800, a_1850)) | (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[604, 17])).
% 0.54/0.72 tff(2295,plain,
% 0.54/0.72 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2294, 2293])).
% 0.54/0.72 tff(2296,plain,
% 0.54/0.72 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2295])).
% 0.54/0.72 tff(2297,plain,
% 0.54/0.72 ((i29 = i24) <=> (i24 = i29)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2298,plain,
% 0.54/0.72 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2299,plain,
% 0.54/0.72 ((i29 = sk(a_1800, a_1850)) <=> (i24 = i29)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2298, 2297])).
% 0.54/0.72 tff(2300,plain,
% 0.54/0.72 ((i24 = i29) <=> (i29 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2299])).
% 0.54/0.72 tff(2301,plain,
% 0.54/0.72 ((~(i24 = i29)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2300])).
% 0.54/0.72 tff(2302,plain,
% 0.54/0.72 ((~(i24 = i29)) <=> (~(i24 = i29))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2303,axiom,(~(i24 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp449')).
% 0.54/0.72 tff(2304,plain,
% 0.54/0.72 (~(i24 = i29)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 0.54/0.72 tff(2305,plain,
% 0.54/0.72 (~(i29 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2304, 2301])).
% 0.54/0.72 tff(2306,plain,
% 0.54/0.72 ((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[583, 17])).
% 0.54/0.72 tff(2307,plain,
% 0.54/0.72 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2306, 2305])).
% 0.54/0.72 tff(2308,plain,
% 0.54/0.72 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2307])).
% 0.54/0.72 tff(2309,plain,
% 0.54/0.72 ((i28 = i24) <=> (i24 = i28)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2310,plain,
% 0.54/0.72 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2311,plain,
% 0.54/0.72 ((i28 = sk(a_1800, a_1850)) <=> (i24 = i28)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2310, 2309])).
% 0.54/0.72 tff(2312,plain,
% 0.54/0.72 ((i24 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2311])).
% 0.54/0.72 tff(2313,plain,
% 0.54/0.72 ((~(i24 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2312])).
% 0.54/0.72 tff(2314,plain,
% 0.54/0.72 ((~(i24 = i28)) <=> (~(i24 = i28))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2315,axiom,(~(i24 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp450')).
% 0.54/0.72 tff(2316,plain,
% 0.54/0.72 (~(i24 = i28)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 0.54/0.72 tff(2317,plain,
% 0.54/0.72 (~(i28 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2316, 2313])).
% 0.54/0.72 tff(2318,plain,
% 0.54/0.72 ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[562, 17])).
% 0.54/0.72 tff(2319,plain,
% 0.54/0.72 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2318, 2317])).
% 0.54/0.72 tff(2320,plain,
% 0.54/0.72 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2319])).
% 0.54/0.72 tff(2321,plain,
% 0.54/0.72 ((i27 = i24) <=> (i24 = i27)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2322,plain,
% 0.54/0.72 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2323,plain,
% 0.54/0.72 ((i27 = sk(a_1800, a_1850)) <=> (i24 = i27)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2322, 2321])).
% 0.54/0.72 tff(2324,plain,
% 0.54/0.72 ((i24 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2323])).
% 0.54/0.72 tff(2325,plain,
% 0.54/0.72 ((~(i24 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2324])).
% 0.54/0.72 tff(2326,plain,
% 0.54/0.72 ((~(i24 = i27)) <=> (~(i24 = i27))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2327,axiom,(~(i24 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp451')).
% 0.54/0.72 tff(2328,plain,
% 0.54/0.72 (~(i24 = i27)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 0.54/0.72 tff(2329,plain,
% 0.54/0.72 (~(i27 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2328, 2325])).
% 0.54/0.72 tff(2330,plain,
% 0.54/0.72 ((i27 = sk(a_1800, a_1850)) | (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[543, 17])).
% 0.54/0.72 tff(2331,plain,
% 0.54/0.72 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2330, 2329])).
% 0.54/0.72 tff(2332,plain,
% 0.54/0.72 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2331])).
% 0.54/0.72 tff(2333,plain,
% 0.54/0.72 ((i26 = i24) <=> (i24 = i26)),
% 0.54/0.72 inference(commutativity,[status(thm)],[])).
% 0.54/0.72 tff(2334,plain,
% 0.54/0.72 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i24)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2001])).
% 0.54/0.72 tff(2335,plain,
% 0.54/0.72 ((i26 = sk(a_1800, a_1850)) <=> (i24 = i26)),
% 0.54/0.72 inference(transitivity,[status(thm)],[2334, 2333])).
% 0.54/0.72 tff(2336,plain,
% 0.54/0.72 ((i24 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2335])).
% 0.54/0.72 tff(2337,plain,
% 0.54/0.72 ((~(i24 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2336])).
% 0.54/0.72 tff(2338,plain,
% 0.54/0.72 ((~(i24 = i26)) <=> (~(i24 = i26))),
% 0.54/0.72 inference(rewrite,[status(thm)],[])).
% 0.54/0.72 tff(2339,axiom,(~(i24 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp452')).
% 0.54/0.72 tff(2340,plain,
% 0.54/0.72 (~(i24 = i26)),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 0.54/0.72 tff(2341,plain,
% 0.54/0.72 (~(i26 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[2340, 2337])).
% 0.54/0.72 tff(2342,plain,
% 0.54/0.72 ((i26 = sk(a_1800, a_1850)) | (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[524, 17])).
% 0.54/0.72 tff(2343,plain,
% 0.54/0.72 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2342, 2341])).
% 0.54/0.72 tff(2344,plain,
% 0.54/0.72 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2343])).
% 0.54/0.72 tff(2345,plain,
% 0.54/0.72 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = e_1852),
% 0.54/0.72 inference(transitivity,[status(thm)],[512, 2344, 531, 2332, 550, 2320, 569, 2308, 592, 2296, 611, 2284, 630, 2282, 649, 2271, 668, 2260, 687, 2249, 706, 2238, 725, 2227, 744, 2216, 767, 2205, 786, 2194, 809, 2183, 828, 2172, 847, 2161, 866, 2150, 885, 2139, 904, 2128, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.54/0.72 tff(2346,plain,
% 0.54/0.72 ((select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2345, 2018])).
% 0.54/0.72 tff(2347,plain,
% 0.54/0.72 ((e_1852 = e_1853) <=> (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(symmetry,[status(thm)],[2346])).
% 0.54/0.72 tff(2348,plain,
% 0.54/0.72 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))))),
% 0.54/0.72 inference(monotonicity,[status(thm)],[2347])).
% 0.54/0.72 tff(2349,plain,
% 0.54/0.72 (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(modus_ponens,[status(thm)],[999, 2348])).
% 0.54/0.72 tff(2350,plain,
% 0.54/0.72 ((i25 = sk(a_1800, a_1850)) | (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[505, 17])).
% 0.54/0.72 tff(2351,plain,
% 0.54/0.72 ($false),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2350, 2349, 2009])).
% 0.54/0.72 tff(2352,plain,((~(i24 = sk(a_1800, a_1850))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.72 tff(2353,plain,
% 0.54/0.72 (~(i24 = sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[2352, 1774, 1035, 1756, 1740, 983])).
% 0.54/0.72 tff(2354,plain,
% 0.54/0.72 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.54/0.72 inference(unit_resolution,[status(thm)],[1090, 2353])).
% 0.54/0.72 tff(2355,plain,
% 0.54/0.72 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2354])).
% 0.54/0.73 tff(2356,plain,
% 0.54/0.73 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[1775])).
% 0.54/0.73 tff(2357,assumption,(i32 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.54/0.73 tff(2358,plain,
% 0.54/0.73 (select(store(store(a_1843, i5, e5), i32, e32), i32) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[1116, 2357])).
% 0.54/0.73 tff(2359,plain,
% 0.54/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1843, i5, e5), i32, e32), i32) = e32)),
% 0.54/0.73 inference(quant_inst,[status(thm)],[])).
% 0.54/0.73 tff(2360,plain,
% 0.54/0.73 (select(store(store(a_1843, i5, e5), i32, e32), i32) = e32),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[2359, 47])).
% 0.54/0.73 tff(2361,plain,
% 0.54/0.73 (e32 = select(store(store(a_1843, i5, e5), i32, e32), i32)),
% 0.54/0.73 inference(symmetry,[status(thm)],[2360])).
% 0.54/0.73 tff(2362,plain,
% 0.54/0.73 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1780, i31, e31), i32, e32), i32) = e32)),
% 0.54/0.73 inference(quant_inst,[status(thm)],[])).
% 0.54/0.73 tff(2363,plain,
% 0.54/0.73 (select(store(store(a_1780, i31, e31), i32, e32), i32) = e32),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[2362, 47])).
% 0.54/0.73 tff(2364,plain,
% 0.54/0.73 (sk(a_1800, a_1850) = i32),
% 0.54/0.73 inference(symmetry,[status(thm)],[2357])).
% 0.54/0.73 tff(2365,plain,
% 0.54/0.73 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), i32)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2364])).
% 0.54/0.73 tff(2366,plain,
% 0.54/0.73 (store(a_1781, i32, e32) = store(store(a_1780, i31, e31), i32, e32)),
% 0.54/0.73 inference(symmetry,[status(thm)],[648])).
% 0.54/0.73 tff(2367,plain,
% 0.54/0.73 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2366])).
% 0.54/0.73 tff(2368,plain,
% 0.54/0.73 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = e_1853),
% 0.54/0.73 inference(transitivity,[status(thm)],[2367, 2365, 2363, 2361, 2358, 2356, 1098, 2355, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.54/0.73 tff(2369,plain,
% 0.54/0.73 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[1776])).
% 0.54/0.73 tff(2370,plain,
% 0.54/0.73 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[1764])).
% 0.54/0.73 tff(2371,plain,
% 0.54/0.73 ((i32 = i44) <=> (sk(a_1800, a_1850) = i44)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2372,plain,
% 0.54/0.73 ((i32 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2371, 868])).
% 0.54/0.73 tff(2373,plain,
% 0.54/0.73 ((~(i32 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2372])).
% 0.54/0.73 tff(2374,plain,
% 0.54/0.73 ((~(i32 = i44)) <=> (~(i32 = i44))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2375,axiom,(~(i32 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp262')).
% 0.54/0.73 tff(2376,plain,
% 0.54/0.73 (~(i32 = i44)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 0.54/0.73 tff(2377,plain,
% 0.54/0.73 (~(i44 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2376, 2373])).
% 0.54/0.73 tff(2378,plain,
% 0.54/0.73 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[1772, 2377])).
% 0.54/0.73 tff(2379,plain,
% 0.54/0.73 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2378])).
% 0.54/0.73 tff(2380,plain,
% 0.54/0.73 ((i32 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2381,plain,
% 0.54/0.73 ((i32 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2380, 849])).
% 0.54/0.73 tff(2382,plain,
% 0.54/0.73 ((~(i32 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2381])).
% 0.54/0.73 tff(2383,plain,
% 0.54/0.73 ((~(i32 = i43)) <=> (~(i32 = i43))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2384,axiom,(~(i32 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp263')).
% 0.54/0.73 tff(2385,plain,
% 0.54/0.73 (~(i32 = i43)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 0.54/0.73 tff(2386,plain,
% 0.54/0.73 (~(i43 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2385, 2382])).
% 0.54/0.73 tff(2387,plain,
% 0.54/0.73 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[859, 17, 2386])).
% 0.54/0.73 tff(2388,plain,
% 0.54/0.73 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2387])).
% 0.54/0.73 tff(2389,plain,
% 0.54/0.73 ((i32 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2390,plain,
% 0.54/0.73 ((i32 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2389, 830])).
% 0.54/0.73 tff(2391,plain,
% 0.54/0.73 ((~(i32 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2390])).
% 0.54/0.73 tff(2392,plain,
% 0.54/0.73 ((~(i32 = i42)) <=> (~(i32 = i42))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2393,axiom,(~(i32 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp264')).
% 0.54/0.73 tff(2394,plain,
% 0.54/0.73 (~(i32 = i42)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 0.54/0.73 tff(2395,plain,
% 0.54/0.73 (~(i42 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2394, 2391])).
% 0.54/0.73 tff(2396,plain,
% 0.54/0.73 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[840, 17, 2395])).
% 0.54/0.73 tff(2397,plain,
% 0.54/0.73 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2396])).
% 0.54/0.73 tff(2398,plain,
% 0.54/0.73 ((i32 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2399,plain,
% 0.54/0.73 ((i32 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2398, 811])).
% 0.54/0.73 tff(2400,plain,
% 0.54/0.73 ((~(i32 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2399])).
% 0.54/0.73 tff(2401,plain,
% 0.54/0.73 ((~(i32 = i41)) <=> (~(i32 = i41))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2402,axiom,(~(i32 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp265')).
% 0.54/0.73 tff(2403,plain,
% 0.54/0.73 (~(i32 = i41)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 0.54/0.73 tff(2404,plain,
% 0.54/0.73 (~(i41 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2403, 2400])).
% 0.54/0.73 tff(2405,plain,
% 0.54/0.73 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[821, 17, 2404])).
% 0.54/0.73 tff(2406,plain,
% 0.54/0.73 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2405])).
% 0.54/0.73 tff(2407,plain,
% 0.54/0.73 ((i32 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2408,plain,
% 0.54/0.73 ((i32 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2407, 788])).
% 0.54/0.73 tff(2409,plain,
% 0.54/0.73 ((~(i32 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2408])).
% 0.54/0.73 tff(2410,plain,
% 0.54/0.73 ((~(i32 = i40)) <=> (~(i32 = i40))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2411,axiom,(~(i32 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp266')).
% 0.54/0.73 tff(2412,plain,
% 0.54/0.73 (~(i32 = i40)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2411, 2410])).
% 0.54/0.73 tff(2413,plain,
% 0.54/0.73 (~(i40 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2412, 2409])).
% 0.54/0.73 tff(2414,plain,
% 0.54/0.73 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[800, 17, 2413])).
% 0.54/0.73 tff(2415,plain,
% 0.54/0.73 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2414])).
% 0.54/0.73 tff(2416,plain,
% 0.54/0.73 ((i32 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2417,plain,
% 0.54/0.73 ((i32 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2416, 769])).
% 0.54/0.73 tff(2418,plain,
% 0.54/0.73 ((~(i32 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2417])).
% 0.54/0.73 tff(2419,plain,
% 0.54/0.73 ((~(i32 = i39)) <=> (~(i32 = i39))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2420,axiom,(~(i32 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp267')).
% 0.54/0.73 tff(2421,plain,
% 0.54/0.73 (~(i32 = i39)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 0.54/0.73 tff(2422,plain,
% 0.54/0.73 (~(i39 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2421, 2418])).
% 0.54/0.73 tff(2423,plain,
% 0.54/0.73 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[779, 17, 2422])).
% 0.54/0.73 tff(2424,plain,
% 0.54/0.73 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2423])).
% 0.54/0.73 tff(2425,plain,
% 0.54/0.73 ((i32 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2426,plain,
% 0.54/0.73 ((i32 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2425, 746])).
% 0.54/0.73 tff(2427,plain,
% 0.54/0.73 ((~(i32 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2426])).
% 0.54/0.73 tff(2428,plain,
% 0.54/0.73 ((~(i32 = i38)) <=> (~(i32 = i38))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2429,axiom,(~(i32 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp268')).
% 0.54/0.73 tff(2430,plain,
% 0.54/0.73 (~(i32 = i38)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2429, 2428])).
% 0.54/0.73 tff(2431,plain,
% 0.54/0.73 (~(i38 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2430, 2427])).
% 0.54/0.73 tff(2432,plain,
% 0.54/0.73 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[758, 17, 2431])).
% 0.54/0.73 tff(2433,plain,
% 0.54/0.73 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2432])).
% 0.54/0.73 tff(2434,plain,
% 0.54/0.73 ((i32 = i37) <=> (sk(a_1800, a_1850) = i37)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2435,plain,
% 0.54/0.73 ((i32 = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2434, 727])).
% 0.54/0.73 tff(2436,plain,
% 0.54/0.73 ((~(i32 = i37)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2435])).
% 0.54/0.73 tff(2437,plain,
% 0.54/0.73 ((~(i32 = i37)) <=> (~(i32 = i37))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2438,axiom,(~(i32 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp269')).
% 0.54/0.73 tff(2439,plain,
% 0.54/0.73 (~(i32 = i37)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 0.54/0.73 tff(2440,plain,
% 0.54/0.73 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2439, 2436])).
% 0.54/0.73 tff(2441,plain,
% 0.54/0.73 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[737, 17, 2440])).
% 0.54/0.73 tff(2442,plain,
% 0.54/0.73 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2441])).
% 0.54/0.73 tff(2443,plain,
% 0.54/0.73 ((i32 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2444,plain,
% 0.54/0.73 ((i32 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2443, 708])).
% 0.54/0.73 tff(2445,plain,
% 0.54/0.73 ((~(i32 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2444])).
% 0.54/0.73 tff(2446,plain,
% 0.54/0.73 ((~(i32 = i36)) <=> (~(i32 = i36))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2447,axiom,(~(i32 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp270')).
% 0.54/0.73 tff(2448,plain,
% 0.54/0.73 (~(i32 = i36)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 0.54/0.73 tff(2449,plain,
% 0.54/0.73 (~(i36 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2448, 2445])).
% 0.54/0.73 tff(2450,plain,
% 0.54/0.73 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[718, 17, 2449])).
% 0.54/0.73 tff(2451,plain,
% 0.54/0.73 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2450])).
% 0.54/0.73 tff(2452,plain,
% 0.54/0.73 ((i32 = i35) <=> (sk(a_1800, a_1850) = i35)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2453,plain,
% 0.54/0.73 ((i32 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2452, 689])).
% 0.54/0.73 tff(2454,plain,
% 0.54/0.73 ((~(i32 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2453])).
% 0.54/0.73 tff(2455,plain,
% 0.54/0.73 ((~(i32 = i35)) <=> (~(i32 = i35))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2456,axiom,(~(i32 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp271')).
% 0.54/0.73 tff(2457,plain,
% 0.54/0.73 (~(i32 = i35)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2456, 2455])).
% 0.54/0.73 tff(2458,plain,
% 0.54/0.73 (~(i35 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2457, 2454])).
% 0.54/0.73 tff(2459,plain,
% 0.54/0.73 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[699, 17, 2458])).
% 0.54/0.73 tff(2460,plain,
% 0.54/0.73 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2459])).
% 0.54/0.73 tff(2461,plain,
% 0.54/0.73 ((i32 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2462,plain,
% 0.54/0.73 ((i32 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2461, 670])).
% 0.54/0.73 tff(2463,plain,
% 0.54/0.73 ((~(i32 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2462])).
% 0.54/0.73 tff(2464,plain,
% 0.54/0.73 ((~(i32 = i34)) <=> (~(i32 = i34))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2465,axiom,(~(i32 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp272')).
% 0.54/0.73 tff(2466,plain,
% 0.54/0.73 (~(i32 = i34)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 0.54/0.73 tff(2467,plain,
% 0.54/0.73 (~(i34 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2466, 2463])).
% 0.54/0.73 tff(2468,plain,
% 0.54/0.73 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[680, 17, 2467])).
% 0.54/0.73 tff(2469,plain,
% 0.54/0.73 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2468])).
% 0.54/0.73 tff(2470,plain,
% 0.54/0.73 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = e_1852),
% 0.54/0.73 inference(transitivity,[status(thm)],[668, 2469, 687, 2460, 706, 2451, 725, 2442, 744, 2433, 767, 2424, 786, 2415, 809, 2406, 828, 2397, 847, 2388, 866, 2379, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.54/0.73 tff(2471,plain,
% 0.54/0.73 ((select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2470, 2368])).
% 0.54/0.73 tff(2472,plain,
% 0.54/0.73 ((e_1852 = e_1853) <=> (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))),
% 0.54/0.73 inference(symmetry,[status(thm)],[2471])).
% 0.54/0.73 tff(2473,plain,
% 0.54/0.73 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2472])).
% 0.54/0.73 tff(2474,plain,
% 0.54/0.73 (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[999, 2473])).
% 0.54/0.73 tff(2475,plain,
% 0.54/0.73 ((i32 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2357])).
% 0.54/0.73 tff(2476,plain,
% 0.54/0.73 ((i32 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2475, 651])).
% 0.54/0.73 tff(2477,plain,
% 0.54/0.73 ((~(i32 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2476])).
% 0.54/0.73 tff(2478,plain,
% 0.54/0.73 ((~(i32 = i33)) <=> (~(i32 = i33))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2479,axiom,(~(i32 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp273')).
% 0.54/0.73 tff(2480,plain,
% 0.54/0.73 (~(i32 = i33)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2479, 2478])).
% 0.54/0.73 tff(2481,plain,
% 0.54/0.73 (~(i33 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2480, 2477])).
% 0.54/0.73 tff(2482,plain,
% 0.54/0.73 ($false),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[661, 17, 2481, 2474])).
% 0.54/0.73 tff(2483,plain,((~(i32 = sk(a_1800, a_1850))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.73 tff(2484,plain,
% 0.54/0.73 (~(i32 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[2483, 1775, 1774, 1035, 1764, 1776, 1756, 1740, 983])).
% 0.54/0.73 tff(2485,plain,
% 0.54/0.73 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[1128, 2484])).
% 0.54/0.73 tff(2486,plain,
% 0.54/0.73 ((i37 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.54/0.73 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.73 tff(2487,plain,
% 0.54/0.73 ((i37 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(transitivity,[status(thm)],[2486, 849])).
% 0.54/0.73 tff(2488,plain,
% 0.54/0.73 ((~(i37 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2487])).
% 0.54/0.73 tff(2489,plain,
% 0.54/0.73 ((~(i37 = i43)) <=> (~(i37 = i43))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2490,axiom,(~(i37 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp188')).
% 0.54/0.73 tff(2491,plain,
% 0.54/0.73 (~(i37 = i43)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 0.54/0.73 tff(2492,plain,
% 0.54/0.73 (~(i43 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2491, 2488])).
% 0.54/0.73 tff(2493,plain,
% 0.54/0.73 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.54/0.73 inference(unit_resolution,[status(thm)],[859, 17, 2492])).
% 0.54/0.73 tff(2494,plain,
% 0.54/0.73 ((i12 = i37) <=> (i12 = sk(a_1800, a_1850))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.73 tff(2495,plain,
% 0.54/0.73 ((~(i12 = i37)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.54/0.73 inference(monotonicity,[status(thm)],[2494])).
% 0.54/0.73 tff(2496,plain,
% 0.54/0.73 ((~(i12 = i37)) <=> (~(i12 = i37))),
% 0.54/0.73 inference(rewrite,[status(thm)],[])).
% 0.54/0.73 tff(2497,axiom,(~(i12 = i37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp819')).
% 0.54/0.73 tff(2498,plain,
% 0.54/0.73 (~(i12 = i37)),
% 0.54/0.73 inference(modus_ponens,[status(thm)],[2497, 2496])).
% 0.54/0.73 tff(2499,plain,
% 0.54/0.73 (~(i12 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2498, 2495])).
% 0.54/0.74 tff(2500,plain,
% 0.54/0.74 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1165, 17, 2499])).
% 0.54/0.74 tff(2501,assumption,(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2502,plain,
% 0.54/0.74 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2501])).
% 0.54/0.74 tff(2503,assumption,(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2504,plain,
% 0.54/0.74 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2503])).
% 0.54/0.74 tff(2505,assumption,(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2506,plain,
% 0.54/0.74 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2505])).
% 0.54/0.74 tff(2507,plain,
% 0.54/0.74 (select(store(store(a_1840, i3, e3), i37, e37), i37) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1173, 1713])).
% 0.54/0.74 tff(2508,plain,
% 0.54/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1840, i3, e3), i37, e37), i37) = e37)),
% 0.54/0.74 inference(quant_inst,[status(thm)],[])).
% 0.54/0.74 tff(2509,plain,
% 0.54/0.74 (select(store(store(a_1840, i3, e3), i37, e37), i37) = e37),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2508, 47])).
% 0.54/0.74 tff(2510,plain,
% 0.54/0.74 (e37 = select(store(store(a_1840, i3, e3), i37, e37), i37)),
% 0.54/0.74 inference(symmetry,[status(thm)],[2509])).
% 0.54/0.74 tff(2511,plain,
% 0.54/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1785, i36, e36), i37, e37), i37) = e37)),
% 0.54/0.74 inference(quant_inst,[status(thm)],[])).
% 0.54/0.74 tff(2512,plain,
% 0.54/0.74 (select(store(store(a_1785, i36, e36), i37, e37), i37) = e37),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2511, 47])).
% 0.54/0.74 tff(2513,plain,
% 0.54/0.74 (sk(a_1800, a_1850) = i37),
% 0.54/0.74 inference(symmetry,[status(thm)],[1713])).
% 0.54/0.74 tff(2514,plain,
% 0.54/0.74 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), i37)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2513])).
% 0.54/0.74 tff(2515,plain,
% 0.54/0.74 (store(a_1786, i37, e37) = store(store(a_1785, i36, e36), i37, e37)),
% 0.54/0.74 inference(symmetry,[status(thm)],[743])).
% 0.54/0.74 tff(2516,plain,
% 0.54/0.74 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2515])).
% 0.54/0.74 tff(2517,plain,
% 0.54/0.74 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = e_1853),
% 0.54/0.74 inference(transitivity,[status(thm)],[2516, 2514, 2512, 2510, 2507, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2355, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.54/0.74 tff(2518,assumption,(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2519,plain,
% 0.54/0.74 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2518])).
% 0.54/0.74 tff(2520,assumption,(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2521,plain,
% 0.54/0.74 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2520])).
% 0.54/0.74 tff(2522,plain,
% 0.54/0.74 ((i37 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.74 tff(2523,plain,
% 0.54/0.74 ((i37 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(transitivity,[status(thm)],[2522, 830])).
% 0.54/0.74 tff(2524,plain,
% 0.54/0.74 ((~(i37 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2523])).
% 0.54/0.74 tff(2525,plain,
% 0.54/0.74 ((~(i37 = i42)) <=> (~(i37 = i42))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2526,axiom,(~(i37 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp189')).
% 0.54/0.74 tff(2527,plain,
% 0.54/0.74 (~(i37 = i42)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2526, 2525])).
% 0.54/0.74 tff(2528,plain,
% 0.54/0.74 (~(i42 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2527, 2524])).
% 0.54/0.74 tff(2529,plain,
% 0.54/0.74 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1876, 2528])).
% 0.54/0.74 tff(2530,plain,
% 0.54/0.74 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2529])).
% 0.54/0.74 tff(2531,plain,
% 0.54/0.74 ((i37 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.74 tff(2532,plain,
% 0.54/0.74 ((i37 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(transitivity,[status(thm)],[2531, 811])).
% 0.54/0.74 tff(2533,plain,
% 0.54/0.74 ((~(i37 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2532])).
% 0.54/0.74 tff(2534,plain,
% 0.54/0.74 ((~(i37 = i41)) <=> (~(i37 = i41))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2535,axiom,(~(i37 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp190')).
% 0.54/0.74 tff(2536,plain,
% 0.54/0.74 (~(i37 = i41)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 0.54/0.74 tff(2537,plain,
% 0.54/0.74 (~(i41 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2536, 2533])).
% 0.54/0.74 tff(2538,plain,
% 0.54/0.74 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[821, 17, 2537])).
% 0.54/0.74 tff(2539,plain,
% 0.54/0.74 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2538])).
% 0.54/0.74 tff(2540,plain,
% 0.54/0.74 ((i37 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.74 tff(2541,plain,
% 0.54/0.74 ((i37 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(transitivity,[status(thm)],[2540, 788])).
% 0.54/0.74 tff(2542,plain,
% 0.54/0.74 ((~(i37 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2541])).
% 0.54/0.74 tff(2543,plain,
% 0.54/0.74 ((~(i37 = i40)) <=> (~(i37 = i40))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2544,axiom,(~(i37 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp191')).
% 0.54/0.74 tff(2545,plain,
% 0.54/0.74 (~(i37 = i40)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 0.54/0.74 tff(2546,plain,
% 0.54/0.74 (~(i40 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2545, 2542])).
% 0.54/0.74 tff(2547,plain,
% 0.54/0.74 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[800, 17, 2546])).
% 0.54/0.74 tff(2548,plain,
% 0.54/0.74 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2547])).
% 0.54/0.74 tff(2549,plain,
% 0.54/0.74 ((i37 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.74 tff(2550,plain,
% 0.54/0.74 ((i37 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(transitivity,[status(thm)],[2549, 769])).
% 0.54/0.74 tff(2551,plain,
% 0.54/0.74 ((~(i37 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2550])).
% 0.54/0.74 tff(2552,plain,
% 0.54/0.74 ((~(i37 = i39)) <=> (~(i37 = i39))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2553,axiom,(~(i37 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp192')).
% 0.54/0.74 tff(2554,plain,
% 0.54/0.74 (~(i37 = i39)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 0.54/0.74 tff(2555,plain,
% 0.54/0.74 (~(i39 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2554, 2551])).
% 0.54/0.74 tff(2556,plain,
% 0.54/0.74 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[779, 17, 2555])).
% 0.54/0.74 tff(2557,plain,
% 0.54/0.74 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2556])).
% 0.54/0.74 tff(2558,plain,
% 0.54/0.74 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = e_1852),
% 0.54/0.74 inference(transitivity,[status(thm)],[767, 2557, 786, 2548, 809, 2539, 828, 2530, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.54/0.74 tff(2559,plain,
% 0.54/0.74 ((select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2558, 2517])).
% 0.54/0.74 tff(2560,plain,
% 0.54/0.74 ((e_1852 = e_1853) <=> (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2559])).
% 0.54/0.74 tff(2561,plain,
% 0.54/0.74 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2560])).
% 0.54/0.74 tff(2562,plain,
% 0.54/0.74 (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[999, 2561])).
% 0.54/0.74 tff(2563,plain,
% 0.54/0.74 ((i37 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[1713])).
% 0.54/0.74 tff(2564,plain,
% 0.54/0.74 ((i37 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(transitivity,[status(thm)],[2563, 746])).
% 0.54/0.74 tff(2565,plain,
% 0.54/0.74 ((~(i37 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2564])).
% 0.54/0.74 tff(2566,plain,
% 0.54/0.74 ((~(i37 = i38)) <=> (~(i37 = i38))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2567,axiom,(~(i37 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp193')).
% 0.54/0.74 tff(2568,plain,
% 0.54/0.74 (~(i37 = i38)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 0.54/0.74 tff(2569,plain,
% 0.54/0.74 (~(i38 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2568, 2565])).
% 0.54/0.74 tff(2570,plain,
% 0.54/0.74 ($false),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[758, 17, 2569, 2562])).
% 0.54/0.74 tff(2571,plain,((~(i37 = sk(a_1800, a_1850))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.74 tff(2572,plain,
% 0.54/0.74 ($false),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2571, 2500, 2493, 1776, 2485, 1775, 1774, 1035, 1713, 1773, 1764, 1763, 1756, 1740, 983])).
% 0.54/0.74 tff(2573,plain,((~(i37 = sk(a_1800, a_1850))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.74 tff(2574,plain,
% 0.54/0.74 ($false),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2573, 1755, 1748, 1740, 1713, 1739, 1737, 1730, 1721, 983])).
% 0.54/0.74 tff(2575,plain,((~(i37 = sk(a_1800, a_1850))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.74 tff(2576,plain,
% 0.54/0.74 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2575, 1712, 22])).
% 0.54/0.74 tff(2577,assumption,(~(i21 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.54/0.74 tff(2578,plain,
% 0.54/0.74 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1071, 2577])).
% 0.54/0.74 tff(2579,assumption,(i47 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.54/0.74 tff(2580,plain,
% 0.54/0.74 (sk(a_1800, a_1850) = i47),
% 0.54/0.74 inference(symmetry,[status(thm)],[2579])).
% 0.54/0.74 tff(2581,plain,
% 0.54/0.74 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i47)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.74 tff(2582,plain,
% 0.54/0.74 ((i18 = i47) <=> (i18 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2581])).
% 0.54/0.74 tff(2583,plain,
% 0.54/0.74 ((~(i18 = i47)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2582])).
% 0.54/0.74 tff(2584,plain,
% 0.54/0.74 ((~(i18 = i47)) <=> (~(i18 = i47))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2585,axiom,(~(i18 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp602')).
% 0.54/0.74 tff(2586,plain,
% 0.54/0.74 (~(i18 = i47)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 0.54/0.74 tff(2587,plain,
% 0.54/0.74 (~(i18 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2586, 2583])).
% 0.54/0.74 tff(2588,plain,
% 0.54/0.74 (~(i49 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1710, 1035, 11])).
% 0.54/0.74 tff(2589,plain,
% 0.54/0.74 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[974, 2588])).
% 0.54/0.74 tff(2590,plain,
% 0.54/0.74 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2589])).
% 0.54/0.74 tff(2591,plain,
% 0.54/0.74 (~(i48 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2115, 2589, 22, 1035])).
% 0.54/0.74 tff(2592,plain,
% 0.54/0.74 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1806, 2591])).
% 0.54/0.74 tff(2593,plain,
% 0.54/0.74 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2592])).
% 0.54/0.74 tff(2594,plain,
% 0.54/0.74 (select(store(store(a_1795, i46, e46), i47, e47), i47) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[941, 2579])).
% 0.54/0.74 tff(2595,plain,
% 0.54/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1795, i46, e46), i47, e47), i47) = e47)),
% 0.54/0.74 inference(quant_inst,[status(thm)],[])).
% 0.54/0.74 tff(2596,plain,
% 0.54/0.74 (select(store(store(a_1795, i46, e46), i47, e47), i47) = e47),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2595, 47])).
% 0.54/0.74 tff(2597,plain,
% 0.54/0.74 (e47 = select(store(store(a_1795, i46, e46), i47, e47), i47)),
% 0.54/0.74 inference(symmetry,[status(thm)],[2596])).
% 0.54/0.74 tff(2598,plain,
% 0.54/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1822, i42, e42), i47, e47), i47) = e47)),
% 0.54/0.74 inference(quant_inst,[status(thm)],[])).
% 0.54/0.74 tff(2599,plain,
% 0.54/0.74 (select(store(store(a_1822, i42, e42), i47, e47), i47) = e47),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[2598, 47])).
% 0.54/0.74 tff(2600,plain,
% 0.54/0.74 (store(a_1823, i47, e47) = store(store(a_1822, i42, e42), i47, e47)),
% 0.54/0.74 inference(symmetry,[status(thm)],[1507])).
% 0.54/0.74 tff(2601,plain,
% 0.54/0.74 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), i47)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2600, 2580])).
% 0.54/0.74 tff(2602,plain,
% 0.54/0.74 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = e_1852),
% 0.54/0.74 inference(transitivity,[status(thm)],[2601, 2599, 2597, 2594, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.54/0.74 tff(2603,plain,
% 0.54/0.74 (~(i31 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1994, 1035, 2589, 22])).
% 0.54/0.74 tff(2604,plain,
% 0.54/0.74 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1052, 2603])).
% 0.54/0.74 tff(2605,plain,
% 0.54/0.74 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2604])).
% 0.54/0.74 tff(2606,plain,
% 0.54/0.74 ((i24 = i47) <=> (i24 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2579])).
% 0.54/0.74 tff(2607,plain,
% 0.54/0.74 ((~(i24 = i47)) <=> (~(i24 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2606])).
% 0.54/0.74 tff(2608,plain,
% 0.54/0.74 ((~(i24 = i47)) <=> (~(i24 = i47))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2609,axiom,(~(i24 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp431')).
% 0.54/0.74 tff(2610,plain,
% 0.54/0.74 (~(i24 = i47)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 0.54/0.74 tff(2611,plain,
% 0.54/0.74 (~(i24 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2610, 2607])).
% 0.54/0.74 tff(2612,plain,
% 0.54/0.74 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1090, 2611])).
% 0.54/0.74 tff(2613,plain,
% 0.54/0.74 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2612])).
% 0.54/0.74 tff(2614,plain,
% 0.54/0.74 ((i4 = sk(a_1800, a_1850)) <=> (i4 = i47)),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.74 tff(2615,plain,
% 0.54/0.74 ((i4 = i47) <=> (i4 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(symmetry,[status(thm)],[2614])).
% 0.54/0.74 tff(2616,plain,
% 0.54/0.74 ((~(i4 = i47)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.54/0.74 inference(monotonicity,[status(thm)],[2615])).
% 0.54/0.74 tff(2617,plain,
% 0.54/0.74 ((~(i4 = i47)) <=> (~(i4 = i47))),
% 0.54/0.74 inference(rewrite,[status(thm)],[])).
% 0.54/0.74 tff(2618,axiom,(~(i4 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1141')).
% 0.54/0.74 tff(2619,plain,
% 0.54/0.74 (~(i4 = i47)),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 0.54/0.74 tff(2620,plain,
% 0.54/0.74 (~(i4 = sk(a_1800, a_1850))),
% 0.54/0.74 inference(modus_ponens,[status(thm)],[2619, 2616])).
% 0.54/0.74 tff(2621,plain,
% 0.54/0.74 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.54/0.74 inference(unit_resolution,[status(thm)],[1109, 2620])).
% 0.54/0.75 tff(2622,plain,
% 0.54/0.75 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2621])).
% 0.54/0.75 tff(2623,plain,
% 0.54/0.75 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2624,plain,
% 0.54/0.75 ((i32 = i47) <=> (i32 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2623])).
% 0.54/0.75 tff(2625,plain,
% 0.54/0.75 ((~(i32 = i47)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2624])).
% 0.54/0.75 tff(2626,plain,
% 0.54/0.75 ((~(i32 = i47)) <=> (~(i32 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2627,axiom,(~(i32 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp259')).
% 0.54/0.75 tff(2628,plain,
% 0.54/0.75 (~(i32 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 0.54/0.75 tff(2629,plain,
% 0.54/0.75 (~(i32 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2628, 2625])).
% 0.54/0.75 tff(2630,plain,
% 0.54/0.75 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1128, 2629])).
% 0.54/0.75 tff(2631,plain,
% 0.54/0.75 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2630])).
% 0.54/0.75 tff(2632,plain,
% 0.54/0.75 ((i5 = sk(a_1800, a_1850)) <=> (i5 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2633,plain,
% 0.54/0.75 ((i5 = i47) <=> (i5 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2632])).
% 0.54/0.75 tff(2634,plain,
% 0.54/0.75 ((~(i5 = i47)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2633])).
% 0.54/0.75 tff(2635,plain,
% 0.54/0.75 ((~(i5 = i47)) <=> (~(i5 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2636,axiom,(~(i5 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1096')).
% 0.54/0.75 tff(2637,plain,
% 0.54/0.75 (~(i5 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 0.54/0.75 tff(2638,plain,
% 0.54/0.75 (~(i5 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2637, 2634])).
% 0.54/0.75 tff(2639,plain,
% 0.54/0.75 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1147, 2638])).
% 0.54/0.75 tff(2640,plain,
% 0.54/0.75 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2639])).
% 0.54/0.75 tff(2641,plain,
% 0.54/0.75 ((i12 = sk(a_1800, a_1850)) <=> (i12 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2642,plain,
% 0.54/0.75 ((i12 = i47) <=> (i12 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2641])).
% 0.54/0.75 tff(2643,plain,
% 0.54/0.75 ((~(i12 = i47)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2642])).
% 0.54/0.75 tff(2644,plain,
% 0.54/0.75 ((~(i12 = i47)) <=> (~(i12 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2645,axiom,(~(i12 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp809')).
% 0.54/0.75 tff(2646,plain,
% 0.54/0.75 (~(i12 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 0.54/0.75 tff(2647,plain,
% 0.54/0.75 (~(i12 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2646, 2643])).
% 0.54/0.75 tff(2648,plain,
% 0.54/0.75 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1166, 2647])).
% 0.54/0.75 tff(2649,plain,
% 0.54/0.75 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2648])).
% 0.54/0.75 tff(2650,plain,
% 0.54/0.75 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2651,plain,
% 0.54/0.75 ((i37 = i47) <=> (i37 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2650])).
% 0.54/0.75 tff(2652,plain,
% 0.54/0.75 ((~(i37 = i47)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2651])).
% 0.54/0.75 tff(2653,plain,
% 0.54/0.75 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[1727, 2652])).
% 0.54/0.75 tff(2654,plain,
% 0.54/0.75 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1185, 2653])).
% 0.54/0.75 tff(2655,plain,
% 0.54/0.75 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2654])).
% 0.54/0.75 tff(2656,plain,
% 0.54/0.75 ((i3 = sk(a_1800, a_1850)) <=> (i3 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2657,plain,
% 0.54/0.75 ((i3 = i47) <=> (i3 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2656])).
% 0.54/0.75 tff(2658,plain,
% 0.54/0.75 ((~(i3 = i47)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2657])).
% 0.54/0.75 tff(2659,plain,
% 0.54/0.75 ((~(i3 = i47)) <=> (~(i3 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2660,axiom,(~(i3 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1187')).
% 0.54/0.75 tff(2661,plain,
% 0.54/0.75 (~(i3 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 0.54/0.75 tff(2662,plain,
% 0.54/0.75 (~(i3 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2661, 2658])).
% 0.54/0.75 tff(2663,plain,
% 0.54/0.75 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1204, 2662])).
% 0.54/0.75 tff(2664,plain,
% 0.54/0.75 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2663])).
% 0.54/0.75 tff(2665,plain,
% 0.54/0.75 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2666,plain,
% 0.54/0.75 ((i29 = i47) <=> (i29 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2665])).
% 0.54/0.75 tff(2667,plain,
% 0.54/0.75 ((~(i29 = i47)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2666])).
% 0.54/0.75 tff(2668,plain,
% 0.54/0.75 ((~(i29 = i47)) <=> (~(i29 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2669,axiom,(~(i29 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp316')).
% 0.54/0.75 tff(2670,plain,
% 0.54/0.75 (~(i29 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2669, 2668])).
% 0.54/0.75 tff(2671,plain,
% 0.54/0.75 (~(i29 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2670, 2667])).
% 0.54/0.75 tff(2672,plain,
% 0.54/0.75 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1223, 2671])).
% 0.54/0.75 tff(2673,plain,
% 0.54/0.75 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2672])).
% 0.54/0.75 tff(2674,plain,
% 0.54/0.75 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1241, 17, 2591])).
% 0.54/0.75 tff(2675,plain,
% 0.54/0.75 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2674])).
% 0.54/0.75 tff(2676,plain,
% 0.54/0.75 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2677,plain,
% 0.54/0.75 ((i10 = i47) <=> (i10 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2676])).
% 0.54/0.75 tff(2678,plain,
% 0.54/0.75 ((~(i10 = i47)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2677])).
% 0.54/0.75 tff(2679,plain,
% 0.54/0.75 ((~(i10 = i47)) <=> (~(i10 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2680,axiom,(~(i10 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp886')).
% 0.54/0.75 tff(2681,plain,
% 0.54/0.75 (~(i10 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 0.54/0.75 tff(2682,plain,
% 0.54/0.75 (~(i10 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2681, 2678])).
% 0.54/0.75 tff(2683,plain,
% 0.54/0.75 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1261, 2682])).
% 0.54/0.75 tff(2684,plain,
% 0.54/0.75 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2683])).
% 0.54/0.75 tff(2685,plain,
% 0.54/0.75 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2686,plain,
% 0.54/0.75 ((i2 = i47) <=> (i2 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2685])).
% 0.54/0.75 tff(2687,plain,
% 0.54/0.75 ((~(i2 = i47)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2686])).
% 0.54/0.75 tff(2688,plain,
% 0.54/0.75 ((~(i2 = i47)) <=> (~(i2 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2689,axiom,(~(i2 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1234')).
% 0.54/0.75 tff(2690,plain,
% 0.54/0.75 (~(i2 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 0.54/0.75 tff(2691,plain,
% 0.54/0.75 (~(i2 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2690, 2687])).
% 0.54/0.75 tff(2692,plain,
% 0.54/0.75 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1280, 2691])).
% 0.54/0.75 tff(2693,plain,
% 0.54/0.75 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2692])).
% 0.54/0.75 tff(2694,plain,
% 0.54/0.75 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2695,plain,
% 0.54/0.75 ((i35 = i47) <=> (i35 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2694])).
% 0.54/0.75 tff(2696,plain,
% 0.54/0.75 ((~(i35 = i47)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2695])).
% 0.54/0.75 tff(2697,plain,
% 0.54/0.75 ((~(i35 = i47)) <=> (~(i35 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2698,axiom,(~(i35 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp211')).
% 0.54/0.75 tff(2699,plain,
% 0.54/0.75 (~(i35 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 0.54/0.75 tff(2700,plain,
% 0.54/0.75 (~(i35 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2699, 2696])).
% 0.54/0.75 tff(2701,plain,
% 0.54/0.75 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1310, 2700])).
% 0.54/0.75 tff(2702,plain,
% 0.54/0.75 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2701])).
% 0.54/0.75 tff(2703,plain,
% 0.54/0.75 ((i46 = sk(a_1800, a_1850)) <=> (i46 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2704,plain,
% 0.54/0.75 ((i46 = i47) <=> (i46 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2703])).
% 0.54/0.75 tff(2705,plain,
% 0.54/0.75 ((~(i46 = i47)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2704])).
% 0.54/0.75 tff(2706,plain,
% 0.54/0.75 ((~(i46 = i47)) <=> (~(i46 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2707,axiom,(~(i46 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp112')).
% 0.54/0.75 tff(2708,plain,
% 0.54/0.75 (~(i46 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2707, 2706])).
% 0.54/0.75 tff(2709,plain,
% 0.54/0.75 (~(i46 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2708, 2705])).
% 0.54/0.75 tff(2710,plain,
% 0.54/0.75 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1329, 2709])).
% 0.54/0.75 tff(2711,plain,
% 0.54/0.75 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2710])).
% 0.54/0.75 tff(2712,plain,
% 0.54/0.75 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2713,plain,
% 0.54/0.75 ((i25 = i47) <=> (i25 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2712])).
% 0.54/0.75 tff(2714,plain,
% 0.54/0.75 ((~(i25 = i47)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2713])).
% 0.54/0.75 tff(2715,plain,
% 0.54/0.75 ((~(i25 = i47)) <=> (~(i25 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2716,axiom,(~(i25 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp406')).
% 0.54/0.75 tff(2717,plain,
% 0.54/0.75 (~(i25 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2716, 2715])).
% 0.54/0.75 tff(2718,plain,
% 0.54/0.75 (~(i25 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2717, 2714])).
% 0.54/0.75 tff(2719,plain,
% 0.54/0.75 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1348, 2718])).
% 0.54/0.75 tff(2720,plain,
% 0.54/0.75 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2719])).
% 0.54/0.75 tff(2721,plain,
% 0.54/0.75 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2722,plain,
% 0.54/0.75 ((i23 = i47) <=> (i23 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2721])).
% 0.54/0.75 tff(2723,plain,
% 0.54/0.75 ((~(i23 = i47)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2722])).
% 0.54/0.75 tff(2724,plain,
% 0.54/0.75 ((~(i23 = i47)) <=> (~(i23 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2725,axiom,(~(i23 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp457')).
% 0.54/0.75 tff(2726,plain,
% 0.54/0.75 (~(i23 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2725, 2724])).
% 0.54/0.75 tff(2727,plain,
% 0.54/0.75 (~(i23 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2726, 2723])).
% 0.54/0.75 tff(2728,plain,
% 0.54/0.75 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1367, 2727])).
% 0.54/0.75 tff(2729,plain,
% 0.54/0.75 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2728])).
% 0.54/0.75 tff(2730,plain,
% 0.54/0.75 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2731,plain,
% 0.54/0.75 ((i38 = i47) <=> (i38 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2730])).
% 0.54/0.75 tff(2732,plain,
% 0.54/0.75 ((~(i38 = i47)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2731])).
% 0.54/0.75 tff(2733,plain,
% 0.54/0.75 ((~(i38 = i47)) <=> (~(i38 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2734,axiom,(~(i38 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp172')).
% 0.54/0.75 tff(2735,plain,
% 0.54/0.75 (~(i38 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2734, 2733])).
% 0.54/0.75 tff(2736,plain,
% 0.54/0.75 (~(i38 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2735, 2732])).
% 0.54/0.75 tff(2737,plain,
% 0.54/0.75 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1386, 2736])).
% 0.54/0.75 tff(2738,plain,
% 0.54/0.75 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2737])).
% 0.54/0.75 tff(2739,plain,
% 0.54/0.75 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2740,plain,
% 0.54/0.75 ((i44 = i47) <=> (i44 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2739])).
% 0.54/0.75 tff(2741,plain,
% 0.54/0.75 ((~(i44 = i47)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2740])).
% 0.54/0.75 tff(2742,plain,
% 0.54/0.75 ((~(i44 = i47)) <=> (~(i44 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2743,axiom,(~(i44 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp121')).
% 0.54/0.75 tff(2744,plain,
% 0.54/0.75 (~(i44 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 0.54/0.75 tff(2745,plain,
% 0.54/0.75 (~(i44 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2744, 2741])).
% 0.54/0.75 tff(2746,plain,
% 0.54/0.75 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1405, 2745])).
% 0.54/0.75 tff(2747,plain,
% 0.54/0.75 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2746])).
% 0.54/0.75 tff(2748,plain,
% 0.54/0.75 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2749,plain,
% 0.54/0.75 ((i36 = i47) <=> (i36 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2748])).
% 0.54/0.75 tff(2750,plain,
% 0.54/0.75 ((~(i36 = i47)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2749])).
% 0.54/0.75 tff(2751,plain,
% 0.54/0.75 ((~(i36 = i47)) <=> (~(i36 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2752,axiom,(~(i36 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp197')).
% 0.54/0.75 tff(2753,plain,
% 0.54/0.75 (~(i36 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 0.54/0.75 tff(2754,plain,
% 0.54/0.75 (~(i36 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2753, 2750])).
% 0.54/0.75 tff(2755,plain,
% 0.54/0.75 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1424, 2754])).
% 0.54/0.75 tff(2756,plain,
% 0.54/0.75 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2755])).
% 0.54/0.75 tff(2757,plain,
% 0.54/0.75 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2758,plain,
% 0.54/0.75 ((i11 = i47) <=> (i11 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2757])).
% 0.54/0.75 tff(2759,plain,
% 0.54/0.75 ((~(i11 = i47)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2758])).
% 0.54/0.75 tff(2760,plain,
% 0.54/0.75 ((~(i11 = i47)) <=> (~(i11 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2761,axiom,(~(i11 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp847')).
% 0.54/0.75 tff(2762,plain,
% 0.54/0.75 (~(i11 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2761, 2760])).
% 0.54/0.75 tff(2763,plain,
% 0.54/0.75 (~(i11 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2762, 2759])).
% 0.54/0.75 tff(2764,plain,
% 0.54/0.75 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1443, 2763])).
% 0.54/0.75 tff(2765,plain,
% 0.54/0.75 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2764])).
% 0.54/0.75 tff(2766,plain,
% 0.54/0.75 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2767,plain,
% 0.54/0.75 ((i34 = i47) <=> (i34 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2766])).
% 0.54/0.75 tff(2768,plain,
% 0.54/0.75 ((~(i34 = i47)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2767])).
% 0.54/0.75 tff(2769,plain,
% 0.54/0.75 ((~(i34 = i47)) <=> (~(i34 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2770,axiom,(~(i34 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp226')).
% 0.54/0.75 tff(2771,plain,
% 0.54/0.75 (~(i34 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2770, 2769])).
% 0.54/0.75 tff(2772,plain,
% 0.54/0.75 (~(i34 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2771, 2768])).
% 0.54/0.75 tff(2773,plain,
% 0.54/0.75 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.54/0.75 inference(unit_resolution,[status(thm)],[1462, 2772])).
% 0.54/0.75 tff(2774,plain,
% 0.54/0.75 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2773])).
% 0.54/0.75 tff(2775,plain,
% 0.54/0.75 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i47)),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2580])).
% 0.54/0.75 tff(2776,plain,
% 0.54/0.75 ((i26 = i47) <=> (i26 = sk(a_1800, a_1850))),
% 0.54/0.75 inference(symmetry,[status(thm)],[2775])).
% 0.54/0.75 tff(2777,plain,
% 0.54/0.75 ((~(i26 = i47)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.54/0.75 inference(monotonicity,[status(thm)],[2776])).
% 0.54/0.75 tff(2778,plain,
% 0.54/0.75 ((~(i26 = i47)) <=> (~(i26 = i47))),
% 0.54/0.75 inference(rewrite,[status(thm)],[])).
% 0.54/0.75 tff(2779,axiom,(~(i26 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp382')).
% 0.54/0.75 tff(2780,plain,
% 0.54/0.75 (~(i26 = i47)),
% 0.54/0.75 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 0.54/0.76 tff(2781,plain,
% 0.54/0.76 (~(i26 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2780, 2777])).
% 0.54/0.76 tff(2782,plain,
% 0.54/0.76 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1481, 2781])).
% 0.54/0.76 tff(2783,plain,
% 0.54/0.76 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2782])).
% 0.54/0.76 tff(2784,plain,
% 0.54/0.76 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = e_1853),
% 0.54/0.76 inference(transitivity,[status(thm)],[1489, 2783, 1470, 2774, 1451, 2765, 1432, 2756, 1413, 2747, 1394, 2738, 1375, 2729, 1356, 2720, 1337, 2711, 1318, 2702, 1299, 1293, 1288, 2693, 1269, 2684, 1250, 2675, 1231, 2673, 1212, 2664, 1193, 2655, 1174, 2649, 1155, 2640, 1136, 2631, 1117, 2622, 1098, 2613, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.54/0.76 tff(2785,plain,
% 0.54/0.76 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2784, 2602])).
% 0.54/0.76 tff(2786,plain,
% 0.54/0.76 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.54/0.76 inference(transitivity,[status(thm)],[2785, 1])).
% 0.54/0.76 tff(2787,plain,
% 0.54/0.76 ((e_1852 = e_1853) <=> (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2786])).
% 0.54/0.76 tff(2788,plain,
% 0.54/0.76 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2787])).
% 0.54/0.76 tff(2789,plain,
% 0.54/0.76 (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[999, 2788])).
% 0.54/0.76 tff(2790,plain,
% 0.54/0.76 ($false),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1500, 2789, 2587])).
% 0.54/0.76 tff(2791,plain,((~(i47 = sk(a_1800, a_1850))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.76 tff(2792,plain,
% 0.54/0.76 (~(i47 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[2791, 2578, 1007, 11])).
% 0.54/0.76 tff(2793,plain,
% 0.54/0.76 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1729, 2792])).
% 0.54/0.76 tff(2794,plain,
% 0.54/0.76 (~(i47 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[2791, 1774, 1035, 11])).
% 0.54/0.76 tff(2795,plain,
% 0.54/0.76 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1729, 2794])).
% 0.54/0.76 tff(2796,plain,
% 0.54/0.76 (~(i24 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[2352, 1774, 1035, 2795, 2589, 22])).
% 0.54/0.76 tff(2797,plain,
% 0.54/0.76 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1090, 2796])).
% 0.54/0.76 tff(2798,plain,
% 0.54/0.76 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2797])).
% 0.54/0.76 tff(2799,assumption,(i46 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.54/0.76 tff(2800,plain,
% 0.54/0.76 ((i4 = i46) <=> (i4 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2801,plain,
% 0.54/0.76 ((~(i4 = i46)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2800])).
% 0.54/0.76 tff(2802,plain,
% 0.54/0.76 ((~(i4 = i46)) <=> (~(i4 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2803,axiom,(~(i4 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1142')).
% 0.54/0.76 tff(2804,plain,
% 0.54/0.76 (~(i4 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2803, 2802])).
% 0.54/0.76 tff(2805,plain,
% 0.54/0.76 (~(i4 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2804, 2801])).
% 0.54/0.76 tff(2806,plain,
% 0.54/0.76 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1109, 2805])).
% 0.54/0.76 tff(2807,plain,
% 0.54/0.76 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2806])).
% 0.54/0.76 tff(2808,plain,
% 0.54/0.76 ((i32 = i46) <=> (i32 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2809,plain,
% 0.54/0.76 ((~(i32 = i46)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2808])).
% 0.54/0.76 tff(2810,plain,
% 0.54/0.76 ((~(i32 = i46)) <=> (~(i32 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2811,axiom,(~(i32 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp260')).
% 0.54/0.76 tff(2812,plain,
% 0.54/0.76 (~(i32 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 0.54/0.76 tff(2813,plain,
% 0.54/0.76 (~(i32 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2812, 2809])).
% 0.54/0.76 tff(2814,plain,
% 0.54/0.76 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1127, 17, 2813])).
% 0.54/0.76 tff(2815,plain,
% 0.54/0.76 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2814])).
% 0.54/0.76 tff(2816,plain,
% 0.54/0.76 ((i5 = i46) <=> (i5 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2817,plain,
% 0.54/0.76 ((~(i5 = i46)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2816])).
% 0.54/0.76 tff(2818,plain,
% 0.54/0.76 ((~(i5 = i46)) <=> (~(i5 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2819,axiom,(~(i5 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1097')).
% 0.54/0.76 tff(2820,plain,
% 0.54/0.76 (~(i5 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2819, 2818])).
% 0.54/0.76 tff(2821,plain,
% 0.54/0.76 (~(i5 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2820, 2817])).
% 0.54/0.76 tff(2822,plain,
% 0.54/0.76 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1146, 17, 2821])).
% 0.54/0.76 tff(2823,plain,
% 0.54/0.76 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2822])).
% 0.54/0.76 tff(2824,plain,
% 0.54/0.76 ((i12 = i46) <=> (i12 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2825,plain,
% 0.54/0.76 ((~(i12 = i46)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2824])).
% 0.54/0.76 tff(2826,plain,
% 0.54/0.76 ((~(i12 = i46)) <=> (~(i12 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2827,axiom,(~(i12 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp810')).
% 0.54/0.76 tff(2828,plain,
% 0.54/0.76 (~(i12 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 0.54/0.76 tff(2829,plain,
% 0.54/0.76 (~(i12 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2828, 2825])).
% 0.54/0.76 tff(2830,plain,
% 0.54/0.76 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1165, 17, 2829])).
% 0.54/0.76 tff(2831,plain,
% 0.54/0.76 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2830])).
% 0.54/0.76 tff(2832,plain,
% 0.54/0.76 ((i37 = i46) <=> (i37 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2833,plain,
% 0.54/0.76 ((~(i37 = i46)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2832])).
% 0.54/0.76 tff(2834,plain,
% 0.54/0.76 (~(i37 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[1719, 2833])).
% 0.54/0.76 tff(2835,plain,
% 0.54/0.76 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1184, 17, 2834])).
% 0.54/0.76 tff(2836,plain,
% 0.54/0.76 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2835])).
% 0.54/0.76 tff(2837,plain,
% 0.54/0.76 ((i3 = i46) <=> (i3 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2838,plain,
% 0.54/0.76 ((~(i3 = i46)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2837])).
% 0.54/0.76 tff(2839,plain,
% 0.54/0.76 ((~(i3 = i46)) <=> (~(i3 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2840,axiom,(~(i3 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1188')).
% 0.54/0.76 tff(2841,plain,
% 0.54/0.76 (~(i3 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 0.54/0.76 tff(2842,plain,
% 0.54/0.76 (~(i3 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2841, 2838])).
% 0.54/0.76 tff(2843,plain,
% 0.54/0.76 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1203, 17, 2842])).
% 0.54/0.76 tff(2844,plain,
% 0.54/0.76 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2843])).
% 0.54/0.76 tff(2845,plain,
% 0.54/0.76 ((i29 = i46) <=> (i29 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2846,plain,
% 0.54/0.76 ((~(i29 = i46)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2845])).
% 0.54/0.76 tff(2847,plain,
% 0.54/0.76 ((~(i29 = i46)) <=> (~(i29 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2848,axiom,(~(i29 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp317')).
% 0.54/0.76 tff(2849,plain,
% 0.54/0.76 (~(i29 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 0.54/0.76 tff(2850,plain,
% 0.54/0.76 (~(i29 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2849, 2846])).
% 0.54/0.76 tff(2851,plain,
% 0.54/0.76 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1222, 17, 2850])).
% 0.54/0.76 tff(2852,plain,
% 0.54/0.76 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2851])).
% 0.54/0.76 tff(2853,plain,
% 0.54/0.76 ((i10 = i46) <=> (i10 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2854,plain,
% 0.54/0.76 ((~(i10 = i46)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2853])).
% 0.54/0.76 tff(2855,plain,
% 0.54/0.76 ((~(i10 = i46)) <=> (~(i10 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2856,axiom,(~(i10 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp887')).
% 0.54/0.76 tff(2857,plain,
% 0.54/0.76 (~(i10 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 0.54/0.76 tff(2858,plain,
% 0.54/0.76 (~(i10 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2857, 2854])).
% 0.54/0.76 tff(2859,plain,
% 0.54/0.76 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1260, 17, 2858])).
% 0.54/0.76 tff(2860,plain,
% 0.54/0.76 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2859])).
% 0.54/0.76 tff(2861,plain,
% 0.54/0.76 ((i2 = i46) <=> (i2 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2862,plain,
% 0.54/0.76 ((~(i2 = i46)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2861])).
% 0.54/0.76 tff(2863,plain,
% 0.54/0.76 ((~(i2 = i46)) <=> (~(i2 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2864,axiom,(~(i2 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1235')).
% 0.54/0.76 tff(2865,plain,
% 0.54/0.76 (~(i2 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 0.54/0.76 tff(2866,plain,
% 0.54/0.76 (~(i2 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2865, 2862])).
% 0.54/0.76 tff(2867,plain,
% 0.54/0.76 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1279, 17, 2866])).
% 0.54/0.76 tff(2868,plain,
% 0.54/0.76 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2867])).
% 0.54/0.76 tff(2869,plain,
% 0.54/0.76 ((i35 = i46) <=> (i35 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2870,plain,
% 0.54/0.76 ((~(i35 = i46)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2869])).
% 0.54/0.76 tff(2871,plain,
% 0.54/0.76 ((~(i35 = i46)) <=> (~(i35 = i46))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2872,axiom,(~(i35 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp212')).
% 0.54/0.76 tff(2873,plain,
% 0.54/0.76 (~(i35 = i46)),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2872, 2871])).
% 0.54/0.76 tff(2874,plain,
% 0.54/0.76 (~(i35 = sk(a_1800, a_1850))),
% 0.54/0.76 inference(modus_ponens,[status(thm)],[2873, 2870])).
% 0.54/0.76 tff(2875,plain,
% 0.54/0.76 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[1309, 17, 2874])).
% 0.54/0.76 tff(2876,plain,
% 0.54/0.76 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.54/0.76 inference(symmetry,[status(thm)],[2875])).
% 0.54/0.76 tff(2877,plain,
% 0.54/0.76 (select(store(store(a_1832, i25, e25), i46, e46), i46) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2799])).
% 0.54/0.76 tff(2878,plain,
% 0.54/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1832, i25, e25), i46, e46), i46) = e46)),
% 0.54/0.76 inference(quant_inst,[status(thm)],[])).
% 0.54/0.76 tff(2879,plain,
% 0.54/0.76 (select(store(store(a_1832, i25, e25), i46, e46), i46) = e46),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[2878, 47])).
% 0.54/0.76 tff(2880,plain,
% 0.54/0.76 (e46 = select(store(store(a_1832, i25, e25), i46, e46), i46)),
% 0.54/0.76 inference(symmetry,[status(thm)],[2879])).
% 0.54/0.76 tff(2881,plain,
% 0.54/0.76 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1794, i45, e45), i46, e46), i46) = e46)),
% 0.54/0.76 inference(quant_inst,[status(thm)],[])).
% 0.54/0.76 tff(2882,plain,
% 0.54/0.76 (select(store(store(a_1794, i45, e45), i46, e46), i46) = e46),
% 0.54/0.76 inference(unit_resolution,[status(thm)],[2881, 47])).
% 0.54/0.76 tff(2883,plain,
% 0.54/0.76 (sk(a_1800, a_1850) = i46),
% 0.54/0.76 inference(symmetry,[status(thm)],[2799])).
% 0.54/0.76 tff(2884,plain,
% 0.54/0.76 (store(a_1795, i46, e46) = store(store(a_1794, i45, e45), i46, e46)),
% 0.54/0.76 inference(symmetry,[status(thm)],[922])).
% 0.54/0.76 tff(2885,plain,
% 0.54/0.76 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), i46)),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2884, 2883])).
% 0.54/0.76 tff(2886,plain,
% 0.54/0.76 (store(a_1796, i47, e47) = store(store(a_1795, i46, e46), i47, e47)),
% 0.54/0.76 inference(symmetry,[status(thm)],[941])).
% 0.54/0.76 tff(2887,plain,
% 0.54/0.76 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2886])).
% 0.54/0.76 tff(2888,plain,
% 0.54/0.76 (store(a_1797, i48, e48) = store(store(a_1796, i47, e47), i48, e48)),
% 0.54/0.76 inference(symmetry,[status(thm)],[960])).
% 0.54/0.76 tff(2889,plain,
% 0.54/0.76 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2888])).
% 0.54/0.76 tff(2890,plain,
% 0.54/0.76 (store(a_1798, i49, e49) = store(store(a_1797, i48, e48), i49, e49)),
% 0.54/0.76 inference(symmetry,[status(thm)],[980])).
% 0.54/0.76 tff(2891,plain,
% 0.54/0.76 (select(store(a_1798, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.54/0.76 inference(monotonicity,[status(thm)],[2890])).
% 0.54/0.76 tff(2892,plain,
% 0.54/0.76 (store(a_1799, i50, e50) = store(store(a_1798, i49, e49), i50, e50)),
% 0.60/0.76 inference(symmetry,[status(thm)],[992])).
% 0.60/0.76 tff(2893,plain,
% 0.60/0.76 (a_1800 = store(store(a_1798, i49, e49), i50, e50)),
% 0.60/0.76 inference(transitivity,[status(thm)],[986, 2892])).
% 0.60/0.76 tff(2894,plain,
% 0.60/0.76 (select(a_1800, i_1851) = select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850))),
% 0.60/0.76 inference(monotonicity,[status(thm)],[2893, 8])).
% 0.60/0.76 tff(2895,plain,
% 0.60/0.76 (e_1852 = e_1853),
% 0.60/0.76 inference(transitivity,[status(thm)],[4, 2894, 22, 2891, 2589, 2889, 2592, 2887, 2795, 2885, 2882, 2880, 2877, 1318, 2876, 1299, 1293, 1288, 2868, 1269, 2860, 1250, 2675, 1231, 2852, 1212, 2844, 1193, 2836, 1174, 2831, 1155, 2823, 1136, 2815, 1117, 2807, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.60/0.76 tff(2896,plain,
% 0.60/0.76 ($false),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[999, 2895])).
% 0.60/0.76 tff(2897,plain,((~(i46 = sk(a_1800, a_1850))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.76 tff(2898,plain,
% 0.60/0.76 (~(i46 = sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[2897, 2578, 1007, 11])).
% 0.60/0.76 tff(2899,plain,
% 0.60/0.76 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[916, 17, 2898])).
% 0.60/0.76 tff(2900,assumption,(~(i37 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.76 tff(2901,plain,
% 0.60/0.76 (select(a_1850, i_1851) = select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850))),
% 0.60/0.76 inference(monotonicity,[status(thm)],[39, 8])).
% 0.60/0.76 tff(2902,plain,
% 0.60/0.76 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(a_1850, i_1851)),
% 0.60/0.76 inference(symmetry,[status(thm)],[2901])).
% 0.60/0.76 tff(2903,assumption,(~(i1 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.76 tff(2904,plain,
% 0.60/0.76 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[1006, 2903])).
% 0.60/0.76 tff(2905,plain,
% 0.60/0.76 (select(store(a_1848, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850))),
% 0.60/0.76 inference(symmetry,[status(thm)],[2904])).
% 0.60/0.76 tff(2906,plain,
% 0.60/0.76 (store(a_1848, i31, e31) = store(store(a_1847, i21, e21), i31, e31)),
% 0.60/0.76 inference(symmetry,[status(thm)],[1041])).
% 0.60/0.76 tff(2907,plain,
% 0.60/0.76 (select(store(a_1848, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.60/0.76 inference(monotonicity,[status(thm)],[2906])).
% 0.60/0.76 tff(2908,plain,
% 0.60/0.76 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 0.60/0.76 inference(symmetry,[status(thm)],[2907])).
% 0.60/0.76 tff(2909,plain,
% 0.60/0.76 (~(i49 = sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[1710, 2904, 11])).
% 0.60/0.76 tff(2910,plain,
% 0.60/0.76 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[974, 2909])).
% 0.60/0.76 tff(2911,plain,
% 0.60/0.76 (~(i31 = sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[1994, 2904, 2910, 22])).
% 0.60/0.76 tff(2912,plain,
% 0.60/0.76 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[1052, 2911])).
% 0.60/0.76 tff(2913,plain,
% 0.60/0.76 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.60/0.76 inference(symmetry,[status(thm)],[2912])).
% 0.60/0.76 tff(2914,plain,
% 0.60/0.76 (store(a_1847, i21, e21) = store(store(a_1846, i24, e24), i21, e21)),
% 0.60/0.76 inference(symmetry,[status(thm)],[1059])).
% 0.60/0.76 tff(2915,plain,
% 0.60/0.76 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 0.60/0.76 inference(monotonicity,[status(thm)],[2914])).
% 0.60/0.77 tff(2916,plain,
% 0.60/0.77 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2915])).
% 0.60/0.77 tff(2917,plain,
% 0.60/0.77 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2578])).
% 0.60/0.77 tff(2918,plain,
% 0.60/0.77 (store(a_1846, i24, e24) = store(store(a_1845, i4, e4), i24, e24)),
% 0.60/0.77 inference(symmetry,[status(thm)],[1078])).
% 0.60/0.77 tff(2919,plain,
% 0.60/0.77 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2918])).
% 0.60/0.77 tff(2920,plain,
% 0.60/0.77 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2919])).
% 0.60/0.77 tff(2921,plain,
% 0.60/0.77 (~(i47 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2791, 2578, 2904, 11])).
% 0.60/0.77 tff(2922,plain,
% 0.60/0.77 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1729, 2921])).
% 0.60/0.77 tff(2923,plain,
% 0.60/0.77 (~(i24 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2352, 2578, 2904, 2922, 2910, 22])).
% 0.60/0.77 tff(2924,plain,
% 0.60/0.77 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1090, 2923])).
% 0.60/0.77 tff(2925,plain,
% 0.60/0.77 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2924])).
% 0.60/0.77 tff(2926,plain,
% 0.60/0.77 (store(a_1845, i4, e4) = store(store(a_1844, i32, e32), i4, e4)),
% 0.60/0.77 inference(symmetry,[status(thm)],[1097])).
% 0.60/0.77 tff(2927,plain,
% 0.60/0.77 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2926])).
% 0.60/0.77 tff(2928,plain,
% 0.60/0.77 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2927])).
% 0.60/0.77 tff(2929,plain,
% 0.60/0.77 (~(i46 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2897, 2578, 2904, 11])).
% 0.60/0.77 tff(2930,plain,
% 0.60/0.77 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1829, 2929])).
% 0.60/0.77 tff(2931,plain,
% 0.60/0.77 ((i5 = i4) <=> (i4 = i5)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2932,assumption,(i4 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.77 tff(2933,plain,
% 0.60/0.77 (sk(a_1800, a_1850) = i4),
% 0.60/0.77 inference(symmetry,[status(thm)],[2932])).
% 0.60/0.77 tff(2934,plain,
% 0.60/0.77 ((i5 = sk(a_1800, a_1850)) <=> (i5 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(2935,plain,
% 0.60/0.77 ((i5 = sk(a_1800, a_1850)) <=> (i4 = i5)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2934, 2931])).
% 0.60/0.77 tff(2936,plain,
% 0.60/0.77 ((i4 = i5) <=> (i5 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2935])).
% 0.60/0.77 tff(2937,plain,
% 0.60/0.77 ((~(i4 = i5)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2936])).
% 0.60/0.77 tff(2938,plain,
% 0.60/0.77 ((~(i4 = i5)) <=> (~(i4 = i5))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2939,axiom,(~(i4 = i5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1183')).
% 0.60/0.77 tff(2940,plain,
% 0.60/0.77 (~(i4 = i5)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 0.60/0.77 tff(2941,plain,
% 0.60/0.77 (~(i5 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2940, 2937])).
% 0.60/0.77 tff(2942,plain,
% 0.60/0.77 (~(i24 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2352, 2578, 1035, 1756, 1740, 983])).
% 0.60/0.77 tff(2943,plain,
% 0.60/0.77 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1090, 2942])).
% 0.60/0.77 tff(2944,plain,
% 0.60/0.77 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2943])).
% 0.60/0.77 tff(2945,plain,
% 0.60/0.77 (select(store(store(a_1844, i32, e32), i4, e4), i4) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1097, 2932])).
% 0.60/0.77 tff(2946,plain,
% 0.60/0.77 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1844, i32, e32), i4, e4), i4) = e4)),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2947,plain,
% 0.60/0.77 (select(store(store(a_1844, i32, e32), i4, e4), i4) = e4),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2946, 47])).
% 0.60/0.77 tff(2948,plain,
% 0.60/0.77 (e4 = select(store(store(a_1844, i32, e32), i4, e4), i4)),
% 0.60/0.77 inference(symmetry,[status(thm)],[2947])).
% 0.60/0.77 tff(2949,plain,
% 0.60/0.77 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1752, i3, e3), i4, e4), i4) = e4)),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2950,plain,
% 0.60/0.77 (select(store(store(a_1752, i3, e3), i4, e4), i4) = e4),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2949, 47])).
% 0.60/0.77 tff(2951,plain,
% 0.60/0.77 (store(a_1753, i4, e4) = store(store(a_1752, i3, e3), i4, e4)),
% 0.60/0.77 inference(symmetry,[status(thm)],[109])).
% 0.60/0.77 tff(2952,plain,
% 0.60/0.77 (select(store(a_1753, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1752, i3, e3), i4, e4), i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2951, 2933])).
% 0.60/0.77 tff(2953,plain,
% 0.60/0.77 (select(store(a_1753, i4, e4), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.77 inference(transitivity,[status(thm)],[2952, 2950, 2948, 2945, 2944, 1079, 2917, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.60/0.77 tff(2954,plain,
% 0.60/0.77 ((i4 = i45) <=> (sk(a_1800, a_1850) = i45)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2932])).
% 0.60/0.77 tff(2955,plain,
% 0.60/0.77 ((i4 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(transitivity,[status(thm)],[2954, 887])).
% 0.60/0.77 tff(2956,plain,
% 0.60/0.77 ((~(i4 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2955])).
% 0.60/0.77 tff(2957,plain,
% 0.60/0.77 ((~(i4 = i45)) <=> (~(i4 = i45))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2958,axiom,(~(i4 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1143')).
% 0.60/0.77 tff(2959,plain,
% 0.60/0.77 (~(i4 = i45)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2958, 2957])).
% 0.60/0.77 tff(2960,plain,
% 0.60/0.77 (~(i45 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2959, 2956])).
% 0.60/0.77 tff(2961,plain,
% 0.60/0.77 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1841, 2960])).
% 0.60/0.77 tff(2962,plain,
% 0.60/0.77 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2961])).
% 0.60/0.77 tff(2963,plain,
% 0.60/0.77 ((i44 = i4) <=> (i4 = i44)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2964,plain,
% 0.60/0.77 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(2965,plain,
% 0.60/0.77 ((i44 = sk(a_1800, a_1850)) <=> (i4 = i44)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2964, 2963])).
% 0.60/0.77 tff(2966,plain,
% 0.60/0.77 ((i4 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2965])).
% 0.60/0.77 tff(2967,plain,
% 0.60/0.77 ((~(i4 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2966])).
% 0.60/0.77 tff(2968,plain,
% 0.60/0.77 ((~(i4 = i44)) <=> (~(i4 = i44))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2969,axiom,(~(i4 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1144')).
% 0.60/0.77 tff(2970,plain,
% 0.60/0.77 (~(i4 = i44)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 0.60/0.77 tff(2971,plain,
% 0.60/0.77 (~(i44 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2970, 2967])).
% 0.60/0.77 tff(2972,plain,
% 0.60/0.77 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1772, 2971])).
% 0.60/0.77 tff(2973,plain,
% 0.60/0.77 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2972])).
% 0.60/0.77 tff(2974,plain,
% 0.60/0.77 ((i43 = i4) <=> (i4 = i43)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2975,plain,
% 0.60/0.77 ((i43 = sk(a_1800, a_1850)) <=> (i43 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(2976,plain,
% 0.60/0.77 ((i43 = sk(a_1800, a_1850)) <=> (i4 = i43)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2975, 2974])).
% 0.60/0.77 tff(2977,plain,
% 0.60/0.77 ((i4 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2976])).
% 0.60/0.77 tff(2978,plain,
% 0.60/0.77 ((~(i4 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2977])).
% 0.60/0.77 tff(2979,plain,
% 0.60/0.77 ((~(i4 = i43)) <=> (~(i4 = i43))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2980,axiom,(~(i4 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1145')).
% 0.60/0.77 tff(2981,plain,
% 0.60/0.77 (~(i4 = i43)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 0.60/0.77 tff(2982,plain,
% 0.60/0.77 (~(i43 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2981, 2978])).
% 0.60/0.77 tff(2983,plain,
% 0.60/0.77 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1864, 2982])).
% 0.60/0.77 tff(2984,plain,
% 0.60/0.77 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2983])).
% 0.60/0.77 tff(2985,plain,
% 0.60/0.77 ((i42 = i4) <=> (i4 = i42)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2986,plain,
% 0.60/0.77 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(2987,plain,
% 0.60/0.77 ((i42 = sk(a_1800, a_1850)) <=> (i4 = i42)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2986, 2985])).
% 0.60/0.77 tff(2988,plain,
% 0.60/0.77 ((i4 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2987])).
% 0.60/0.77 tff(2989,plain,
% 0.60/0.77 ((~(i4 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2988])).
% 0.60/0.77 tff(2990,plain,
% 0.60/0.77 ((~(i4 = i42)) <=> (~(i4 = i42))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2991,axiom,(~(i4 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1146')).
% 0.60/0.77 tff(2992,plain,
% 0.60/0.77 (~(i4 = i42)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2991, 2990])).
% 0.60/0.77 tff(2993,plain,
% 0.60/0.77 (~(i42 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2992, 2989])).
% 0.60/0.77 tff(2994,plain,
% 0.60/0.77 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1876, 2993])).
% 0.60/0.77 tff(2995,plain,
% 0.60/0.77 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2994])).
% 0.60/0.77 tff(2996,plain,
% 0.60/0.77 ((i41 = i4) <=> (i4 = i41)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2997,plain,
% 0.60/0.77 ((i41 = sk(a_1800, a_1850)) <=> (i41 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(2998,plain,
% 0.60/0.77 ((i41 = sk(a_1800, a_1850)) <=> (i4 = i41)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2997, 2996])).
% 0.60/0.77 tff(2999,plain,
% 0.60/0.77 ((i4 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[2998])).
% 0.60/0.77 tff(3000,plain,
% 0.60/0.77 ((~(i4 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2999])).
% 0.60/0.77 tff(3001,plain,
% 0.60/0.77 ((~(i4 = i41)) <=> (~(i4 = i41))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3002,axiom,(~(i4 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1147')).
% 0.60/0.77 tff(3003,plain,
% 0.60/0.77 (~(i4 = i41)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 0.60/0.77 tff(3004,plain,
% 0.60/0.77 (~(i41 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3003, 3000])).
% 0.60/0.77 tff(3005,plain,
% 0.60/0.77 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1888, 3004])).
% 0.60/0.77 tff(3006,plain,
% 0.60/0.77 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3005])).
% 0.60/0.77 tff(3007,plain,
% 0.60/0.77 ((i40 = i4) <=> (i4 = i40)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3008,plain,
% 0.60/0.77 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3009,plain,
% 0.60/0.77 ((i40 = sk(a_1800, a_1850)) <=> (i4 = i40)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3008, 3007])).
% 0.60/0.77 tff(3010,plain,
% 0.60/0.77 ((i4 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3009])).
% 0.60/0.77 tff(3011,plain,
% 0.60/0.77 ((~(i4 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3010])).
% 0.60/0.77 tff(3012,plain,
% 0.60/0.77 ((~(i4 = i40)) <=> (~(i4 = i40))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3013,axiom,(~(i4 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1148')).
% 0.60/0.77 tff(3014,plain,
% 0.60/0.77 (~(i4 = i40)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 0.60/0.77 tff(3015,plain,
% 0.60/0.77 (~(i40 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3014, 3011])).
% 0.60/0.77 tff(3016,plain,
% 0.60/0.77 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1900, 3015])).
% 0.60/0.77 tff(3017,plain,
% 0.60/0.77 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3016])).
% 0.60/0.77 tff(3018,plain,
% 0.60/0.77 ((i39 = i4) <=> (i4 = i39)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3019,plain,
% 0.60/0.77 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3020,plain,
% 0.60/0.77 ((i39 = sk(a_1800, a_1850)) <=> (i4 = i39)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3019, 3018])).
% 0.60/0.77 tff(3021,plain,
% 0.60/0.77 ((i4 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3020])).
% 0.60/0.77 tff(3022,plain,
% 0.60/0.77 ((~(i4 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3021])).
% 0.60/0.77 tff(3023,plain,
% 0.60/0.77 ((~(i4 = i39)) <=> (~(i4 = i39))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3024,axiom,(~(i4 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1149')).
% 0.60/0.77 tff(3025,plain,
% 0.60/0.77 (~(i4 = i39)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 0.60/0.77 tff(3026,plain,
% 0.60/0.77 (~(i39 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3025, 3022])).
% 0.60/0.77 tff(3027,plain,
% 0.60/0.77 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1912, 3026])).
% 0.60/0.77 tff(3028,plain,
% 0.60/0.77 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3027])).
% 0.60/0.77 tff(3029,plain,
% 0.60/0.77 ((i38 = i4) <=> (i4 = i38)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3030,plain,
% 0.60/0.77 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3031,plain,
% 0.60/0.77 ((i38 = sk(a_1800, a_1850)) <=> (i4 = i38)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3030, 3029])).
% 0.60/0.77 tff(3032,plain,
% 0.60/0.77 ((i4 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3031])).
% 0.60/0.77 tff(3033,plain,
% 0.60/0.77 ((~(i4 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3032])).
% 0.60/0.77 tff(3034,plain,
% 0.60/0.77 ((~(i4 = i38)) <=> (~(i4 = i38))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3035,axiom,(~(i4 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1150')).
% 0.60/0.77 tff(3036,plain,
% 0.60/0.77 (~(i4 = i38)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 0.60/0.77 tff(3037,plain,
% 0.60/0.77 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3036, 3033])).
% 0.60/0.77 tff(3038,plain,
% 0.60/0.77 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1924, 3037])).
% 0.60/0.77 tff(3039,plain,
% 0.60/0.77 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3038])).
% 0.60/0.77 tff(3040,plain,
% 0.60/0.77 ((i37 = i4) <=> (i4 = i37)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3041,plain,
% 0.60/0.77 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3042,plain,
% 0.60/0.77 ((i37 = sk(a_1800, a_1850)) <=> (i4 = i37)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3041, 3040])).
% 0.60/0.77 tff(3043,plain,
% 0.60/0.77 ((i4 = i37) <=> (i37 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3042])).
% 0.60/0.77 tff(3044,plain,
% 0.60/0.77 ((~(i4 = i37)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3043])).
% 0.60/0.77 tff(3045,plain,
% 0.60/0.77 (~(i37 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[1753, 3044])).
% 0.60/0.77 tff(3046,plain,
% 0.60/0.77 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1936, 3045])).
% 0.60/0.77 tff(3047,plain,
% 0.60/0.77 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3046])).
% 0.60/0.77 tff(3048,plain,
% 0.60/0.77 ((i36 = i4) <=> (i4 = i36)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3049,plain,
% 0.60/0.77 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3050,plain,
% 0.60/0.77 ((i36 = sk(a_1800, a_1850)) <=> (i4 = i36)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3049, 3048])).
% 0.60/0.77 tff(3051,plain,
% 0.60/0.77 ((i4 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3050])).
% 0.60/0.77 tff(3052,plain,
% 0.60/0.77 ((~(i4 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3051])).
% 0.60/0.77 tff(3053,plain,
% 0.60/0.77 ((~(i4 = i36)) <=> (~(i4 = i36))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3054,axiom,(~(i4 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1152')).
% 0.60/0.77 tff(3055,plain,
% 0.60/0.77 (~(i4 = i36)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 0.60/0.77 tff(3056,plain,
% 0.60/0.77 (~(i36 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3055, 3052])).
% 0.60/0.77 tff(3057,plain,
% 0.60/0.77 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1948, 3056])).
% 0.60/0.77 tff(3058,plain,
% 0.60/0.77 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3057])).
% 0.60/0.77 tff(3059,plain,
% 0.60/0.77 ((i35 = i4) <=> (i4 = i35)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3060,plain,
% 0.60/0.77 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3061,plain,
% 0.60/0.77 ((i35 = sk(a_1800, a_1850)) <=> (i4 = i35)),
% 0.60/0.77 inference(transitivity,[status(thm)],[3060, 3059])).
% 0.60/0.77 tff(3062,plain,
% 0.60/0.77 ((i4 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3061])).
% 0.60/0.77 tff(3063,plain,
% 0.60/0.77 ((~(i4 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[3062])).
% 0.60/0.77 tff(3064,plain,
% 0.60/0.77 ((~(i4 = i35)) <=> (~(i4 = i35))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(3065,axiom,(~(i4 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1153')).
% 0.60/0.77 tff(3066,plain,
% 0.60/0.77 (~(i4 = i35)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3065, 3064])).
% 0.60/0.77 tff(3067,plain,
% 0.60/0.77 (~(i35 = sk(a_1800, a_1850))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[3066, 3063])).
% 0.60/0.77 tff(3068,plain,
% 0.60/0.77 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1960, 3067])).
% 0.60/0.77 tff(3069,plain,
% 0.60/0.77 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.60/0.77 inference(symmetry,[status(thm)],[3068])).
% 0.60/0.77 tff(3070,plain,
% 0.60/0.77 ((i34 = i4) <=> (i4 = i34)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(3071,plain,
% 0.60/0.77 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i4)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.77 tff(3072,plain,
% 0.60/0.77 ((i34 = sk(a_1800, a_1850)) <=> (i4 = i34)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3071, 3070])).
% 0.60/0.78 tff(3073,plain,
% 0.60/0.78 ((i4 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3072])).
% 0.60/0.78 tff(3074,plain,
% 0.60/0.78 ((~(i4 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3073])).
% 0.60/0.78 tff(3075,plain,
% 0.60/0.78 ((~(i4 = i34)) <=> (~(i4 = i34))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3076,axiom,(~(i4 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1154')).
% 0.60/0.78 tff(3077,plain,
% 0.60/0.78 (~(i4 = i34)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3076, 3075])).
% 0.60/0.78 tff(3078,plain,
% 0.60/0.78 (~(i34 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3077, 3074])).
% 0.60/0.78 tff(3079,plain,
% 0.60/0.78 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[1972, 3078])).
% 0.60/0.78 tff(3080,plain,
% 0.60/0.78 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3079])).
% 0.60/0.78 tff(3081,plain,
% 0.60/0.78 ((i33 = i4) <=> (i4 = i33)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3082,plain,
% 0.60/0.78 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3083,plain,
% 0.60/0.78 ((i33 = sk(a_1800, a_1850)) <=> (i4 = i33)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3082, 3081])).
% 0.60/0.78 tff(3084,plain,
% 0.60/0.78 ((i4 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3083])).
% 0.60/0.78 tff(3085,plain,
% 0.60/0.78 ((~(i4 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3084])).
% 0.60/0.78 tff(3086,plain,
% 0.60/0.78 ((~(i4 = i33)) <=> (~(i4 = i33))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3087,axiom,(~(i4 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1155')).
% 0.60/0.78 tff(3088,plain,
% 0.60/0.78 (~(i4 = i33)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 0.60/0.78 tff(3089,plain,
% 0.60/0.78 (~(i33 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3088, 3085])).
% 0.60/0.78 tff(3090,plain,
% 0.60/0.78 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[1984, 3089])).
% 0.60/0.78 tff(3091,plain,
% 0.60/0.78 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3090])).
% 0.60/0.78 tff(3092,plain,
% 0.60/0.78 ((i32 = i4) <=> (i4 = i32)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3093,plain,
% 0.60/0.78 ((i32 = sk(a_1800, a_1850)) <=> (i32 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3094,plain,
% 0.60/0.78 ((i32 = sk(a_1800, a_1850)) <=> (i4 = i32)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3093, 3092])).
% 0.60/0.78 tff(3095,plain,
% 0.60/0.78 ((i4 = i32) <=> (i32 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3094])).
% 0.60/0.78 tff(3096,plain,
% 0.60/0.78 ((~(i4 = i32)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3095])).
% 0.60/0.78 tff(3097,plain,
% 0.60/0.78 ((~(i4 = i32)) <=> (~(i4 = i32))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3098,axiom,(~(i4 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1156')).
% 0.60/0.78 tff(3099,plain,
% 0.60/0.78 (~(i4 = i32)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3098, 3097])).
% 0.60/0.78 tff(3100,plain,
% 0.60/0.78 (~(i32 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3099, 3096])).
% 0.60/0.78 tff(3101,plain,
% 0.60/0.78 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[1992, 3100])).
% 0.60/0.78 tff(3102,plain,
% 0.60/0.78 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3101])).
% 0.60/0.78 tff(3103,plain,
% 0.60/0.78 ((i30 = i4) <=> (i4 = i30)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3104,plain,
% 0.60/0.78 ((i30 = sk(a_1800, a_1850)) <=> (i30 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3105,plain,
% 0.60/0.78 ((i30 = sk(a_1800, a_1850)) <=> (i4 = i30)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3104, 3103])).
% 0.60/0.78 tff(3106,plain,
% 0.60/0.78 ((i4 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3105])).
% 0.60/0.78 tff(3107,plain,
% 0.60/0.78 ((~(i4 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3106])).
% 0.60/0.78 tff(3108,plain,
% 0.60/0.78 ((~(i4 = i30)) <=> (~(i4 = i30))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3109,axiom,(~(i4 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1158')).
% 0.60/0.78 tff(3110,plain,
% 0.60/0.78 (~(i4 = i30)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 0.60/0.78 tff(3111,plain,
% 0.60/0.78 (~(i30 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3110, 3107])).
% 0.60/0.78 tff(3112,plain,
% 0.60/0.78 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2294, 3111])).
% 0.60/0.78 tff(3113,plain,
% 0.60/0.78 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3112])).
% 0.60/0.78 tff(3114,plain,
% 0.60/0.78 ((i29 = i4) <=> (i4 = i29)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3115,plain,
% 0.60/0.78 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3116,plain,
% 0.60/0.78 ((i29 = sk(a_1800, a_1850)) <=> (i4 = i29)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3115, 3114])).
% 0.60/0.78 tff(3117,plain,
% 0.60/0.78 ((i4 = i29) <=> (i29 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3116])).
% 0.60/0.78 tff(3118,plain,
% 0.60/0.78 ((~(i4 = i29)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3117])).
% 0.60/0.78 tff(3119,plain,
% 0.60/0.78 ((~(i4 = i29)) <=> (~(i4 = i29))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3120,axiom,(~(i4 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1159')).
% 0.60/0.78 tff(3121,plain,
% 0.60/0.78 (~(i4 = i29)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 0.60/0.78 tff(3122,plain,
% 0.60/0.78 (~(i29 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3121, 3118])).
% 0.60/0.78 tff(3123,plain,
% 0.60/0.78 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2306, 3122])).
% 0.60/0.78 tff(3124,plain,
% 0.60/0.78 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3123])).
% 0.60/0.78 tff(3125,plain,
% 0.60/0.78 ((i28 = i4) <=> (i4 = i28)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3126,plain,
% 0.60/0.78 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3127,plain,
% 0.60/0.78 ((i28 = sk(a_1800, a_1850)) <=> (i4 = i28)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3126, 3125])).
% 0.60/0.78 tff(3128,plain,
% 0.60/0.78 ((i4 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3127])).
% 0.60/0.78 tff(3129,plain,
% 0.60/0.78 ((~(i4 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3128])).
% 0.60/0.78 tff(3130,plain,
% 0.60/0.78 ((~(i4 = i28)) <=> (~(i4 = i28))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3131,axiom,(~(i4 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1160')).
% 0.60/0.78 tff(3132,plain,
% 0.60/0.78 (~(i4 = i28)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 0.60/0.78 tff(3133,plain,
% 0.60/0.78 (~(i28 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3132, 3129])).
% 0.60/0.78 tff(3134,plain,
% 0.60/0.78 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2318, 3133])).
% 0.60/0.78 tff(3135,plain,
% 0.60/0.78 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3134])).
% 0.60/0.78 tff(3136,plain,
% 0.60/0.78 ((i27 = i4) <=> (i4 = i27)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3137,plain,
% 0.60/0.78 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3138,plain,
% 0.60/0.78 ((i27 = sk(a_1800, a_1850)) <=> (i4 = i27)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3137, 3136])).
% 0.60/0.78 tff(3139,plain,
% 0.60/0.78 ((i4 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3138])).
% 0.60/0.78 tff(3140,plain,
% 0.60/0.78 ((~(i4 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3139])).
% 0.60/0.78 tff(3141,plain,
% 0.60/0.78 ((~(i4 = i27)) <=> (~(i4 = i27))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3142,axiom,(~(i4 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1161')).
% 0.60/0.78 tff(3143,plain,
% 0.60/0.78 (~(i4 = i27)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 0.60/0.78 tff(3144,plain,
% 0.60/0.78 (~(i27 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3143, 3140])).
% 0.60/0.78 tff(3145,plain,
% 0.60/0.78 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2330, 3144])).
% 0.60/0.78 tff(3146,plain,
% 0.60/0.78 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3145])).
% 0.60/0.78 tff(3147,plain,
% 0.60/0.78 ((i26 = i4) <=> (i4 = i26)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3148,plain,
% 0.60/0.78 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3149,plain,
% 0.60/0.78 ((i26 = sk(a_1800, a_1850)) <=> (i4 = i26)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3148, 3147])).
% 0.60/0.78 tff(3150,plain,
% 0.60/0.78 ((i4 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3149])).
% 0.60/0.78 tff(3151,plain,
% 0.60/0.78 ((~(i4 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3150])).
% 0.60/0.78 tff(3152,plain,
% 0.60/0.78 ((~(i4 = i26)) <=> (~(i4 = i26))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3153,axiom,(~(i4 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1162')).
% 0.60/0.78 tff(3154,plain,
% 0.60/0.78 (~(i4 = i26)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 0.60/0.78 tff(3155,plain,
% 0.60/0.78 (~(i26 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3154, 3151])).
% 0.60/0.78 tff(3156,plain,
% 0.60/0.78 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2342, 3155])).
% 0.60/0.78 tff(3157,plain,
% 0.60/0.78 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3156])).
% 0.60/0.78 tff(3158,plain,
% 0.60/0.78 ((i25 = i4) <=> (i4 = i25)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3159,plain,
% 0.60/0.78 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3160,plain,
% 0.60/0.78 ((i25 = sk(a_1800, a_1850)) <=> (i4 = i25)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3159, 3158])).
% 0.60/0.78 tff(3161,plain,
% 0.60/0.78 ((i4 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3160])).
% 0.60/0.78 tff(3162,plain,
% 0.60/0.78 ((~(i4 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3161])).
% 0.60/0.78 tff(3163,plain,
% 0.60/0.78 ((~(i4 = i25)) <=> (~(i4 = i25))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3164,axiom,(~(i4 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1163')).
% 0.60/0.78 tff(3165,plain,
% 0.60/0.78 (~(i4 = i25)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 0.60/0.78 tff(3166,plain,
% 0.60/0.78 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3165, 3162])).
% 0.60/0.78 tff(3167,plain,
% 0.60/0.78 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[2350, 3166])).
% 0.60/0.78 tff(3168,plain,
% 0.60/0.78 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3167])).
% 0.60/0.78 tff(3169,plain,
% 0.60/0.78 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[486, 17, 2942])).
% 0.60/0.78 tff(3170,plain,
% 0.60/0.78 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3169])).
% 0.60/0.78 tff(3171,plain,
% 0.60/0.78 ((i23 = i4) <=> (i4 = i23)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3172,plain,
% 0.60/0.78 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3173,plain,
% 0.60/0.78 ((i23 = sk(a_1800, a_1850)) <=> (i4 = i23)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3172, 3171])).
% 0.60/0.78 tff(3174,plain,
% 0.60/0.78 ((i4 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3173])).
% 0.60/0.78 tff(3175,plain,
% 0.60/0.78 ((~(i4 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3174])).
% 0.60/0.78 tff(3176,plain,
% 0.60/0.78 ((~(i4 = i23)) <=> (~(i4 = i23))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3177,axiom,(~(i4 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1165')).
% 0.60/0.78 tff(3178,plain,
% 0.60/0.78 (~(i4 = i23)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 0.60/0.78 tff(3179,plain,
% 0.60/0.78 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3178, 3175])).
% 0.60/0.78 tff(3180,plain,
% 0.60/0.78 ((i23 = sk(a_1800, a_1850)) | (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[468, 17])).
% 0.60/0.78 tff(3181,plain,
% 0.60/0.78 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3180, 3179])).
% 0.60/0.78 tff(3182,plain,
% 0.60/0.78 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3181])).
% 0.60/0.78 tff(3183,plain,
% 0.60/0.78 ((i22 = i4) <=> (i4 = i22)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3184,plain,
% 0.60/0.78 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3185,plain,
% 0.60/0.78 ((i22 = sk(a_1800, a_1850)) <=> (i4 = i22)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3184, 3183])).
% 0.60/0.78 tff(3186,plain,
% 0.60/0.78 ((i4 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3185])).
% 0.60/0.78 tff(3187,plain,
% 0.60/0.78 ((~(i4 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3186])).
% 0.60/0.78 tff(3188,plain,
% 0.60/0.78 ((~(i4 = i22)) <=> (~(i4 = i22))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3189,axiom,(~(i4 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1166')).
% 0.60/0.78 tff(3190,plain,
% 0.60/0.78 (~(i4 = i22)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 0.60/0.78 tff(3191,plain,
% 0.60/0.78 (~(i22 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3190, 3187])).
% 0.60/0.78 tff(3192,plain,
% 0.60/0.78 ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[449, 17])).
% 0.60/0.78 tff(3193,plain,
% 0.60/0.78 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3192, 3191])).
% 0.60/0.78 tff(3194,plain,
% 0.60/0.78 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3193])).
% 0.60/0.78 tff(3195,plain,
% 0.60/0.78 (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[430, 17, 2577])).
% 0.60/0.78 tff(3196,plain,
% 0.60/0.78 (select(store(a_1769, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3195])).
% 0.60/0.78 tff(3197,plain,
% 0.60/0.78 ((i20 = i4) <=> (i4 = i20)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3198,plain,
% 0.60/0.78 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3199,plain,
% 0.60/0.78 ((i20 = sk(a_1800, a_1850)) <=> (i4 = i20)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3198, 3197])).
% 0.60/0.78 tff(3200,plain,
% 0.60/0.78 ((i4 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3199])).
% 0.60/0.78 tff(3201,plain,
% 0.60/0.78 ((~(i4 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3200])).
% 0.60/0.78 tff(3202,plain,
% 0.60/0.78 ((~(i4 = i20)) <=> (~(i4 = i20))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3203,axiom,(~(i4 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1168')).
% 0.60/0.78 tff(3204,plain,
% 0.60/0.78 (~(i4 = i20)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 0.60/0.78 tff(3205,plain,
% 0.60/0.78 (~(i20 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3204, 3201])).
% 0.60/0.78 tff(3206,plain,
% 0.60/0.78 ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[411, 17])).
% 0.60/0.78 tff(3207,plain,
% 0.60/0.78 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3206, 3205])).
% 0.60/0.78 tff(3208,plain,
% 0.60/0.78 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3207])).
% 0.60/0.78 tff(3209,plain,
% 0.60/0.78 ((i19 = i4) <=> (i4 = i19)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3210,plain,
% 0.60/0.78 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3211,plain,
% 0.60/0.78 ((i19 = sk(a_1800, a_1850)) <=> (i4 = i19)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3210, 3209])).
% 0.60/0.78 tff(3212,plain,
% 0.60/0.78 ((i4 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3211])).
% 0.60/0.78 tff(3213,plain,
% 0.60/0.78 ((~(i4 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3212])).
% 0.60/0.78 tff(3214,plain,
% 0.60/0.78 ((~(i4 = i19)) <=> (~(i4 = i19))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3215,axiom,(~(i4 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1169')).
% 0.60/0.78 tff(3216,plain,
% 0.60/0.78 (~(i4 = i19)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 0.60/0.78 tff(3217,plain,
% 0.60/0.78 (~(i19 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3216, 3213])).
% 0.60/0.78 tff(3218,plain,
% 0.60/0.78 ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[392, 17])).
% 0.60/0.78 tff(3219,plain,
% 0.60/0.78 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3218, 3217])).
% 0.60/0.78 tff(3220,plain,
% 0.60/0.78 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3219])).
% 0.60/0.78 tff(3221,plain,
% 0.60/0.78 ((i18 = i4) <=> (i4 = i18)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3222,plain,
% 0.60/0.78 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3223,plain,
% 0.60/0.78 ((i18 = sk(a_1800, a_1850)) <=> (i4 = i18)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3222, 3221])).
% 0.60/0.78 tff(3224,plain,
% 0.60/0.78 ((i4 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3223])).
% 0.60/0.78 tff(3225,plain,
% 0.60/0.78 ((~(i4 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3224])).
% 0.60/0.78 tff(3226,plain,
% 0.60/0.78 ((~(i4 = i18)) <=> (~(i4 = i18))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3227,axiom,(~(i4 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1170')).
% 0.60/0.78 tff(3228,plain,
% 0.60/0.78 (~(i4 = i18)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 0.60/0.78 tff(3229,plain,
% 0.60/0.78 (~(i18 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3228, 3225])).
% 0.60/0.78 tff(3230,plain,
% 0.60/0.78 ((i18 = sk(a_1800, a_1850)) | (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[373, 17])).
% 0.60/0.78 tff(3231,plain,
% 0.60/0.78 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3230, 3229])).
% 0.60/0.78 tff(3232,plain,
% 0.60/0.78 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3231])).
% 0.60/0.78 tff(3233,plain,
% 0.60/0.78 ((i17 = i4) <=> (i4 = i17)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3234,plain,
% 0.60/0.78 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3235,plain,
% 0.60/0.78 ((i17 = sk(a_1800, a_1850)) <=> (i4 = i17)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3234, 3233])).
% 0.60/0.78 tff(3236,plain,
% 0.60/0.78 ((i4 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3235])).
% 0.60/0.78 tff(3237,plain,
% 0.60/0.78 ((~(i4 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3236])).
% 0.60/0.78 tff(3238,plain,
% 0.60/0.78 ((~(i4 = i17)) <=> (~(i4 = i17))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3239,axiom,(~(i4 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1171')).
% 0.60/0.78 tff(3240,plain,
% 0.60/0.78 (~(i4 = i17)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 0.60/0.78 tff(3241,plain,
% 0.60/0.78 (~(i17 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3240, 3237])).
% 0.60/0.78 tff(3242,plain,
% 0.60/0.78 ((i17 = sk(a_1800, a_1850)) | (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[354, 17])).
% 0.60/0.78 tff(3243,plain,
% 0.60/0.78 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3242, 3241])).
% 0.60/0.78 tff(3244,plain,
% 0.60/0.78 (select(store(a_1765, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3243])).
% 0.60/0.78 tff(3245,plain,
% 0.60/0.78 ((i16 = i4) <=> (i4 = i16)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3246,plain,
% 0.60/0.78 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3247,plain,
% 0.60/0.78 ((i16 = sk(a_1800, a_1850)) <=> (i4 = i16)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3246, 3245])).
% 0.60/0.78 tff(3248,plain,
% 0.60/0.78 ((i4 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3247])).
% 0.60/0.78 tff(3249,plain,
% 0.60/0.78 ((~(i4 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3248])).
% 0.60/0.78 tff(3250,plain,
% 0.60/0.78 ((~(i4 = i16)) <=> (~(i4 = i16))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3251,axiom,(~(i4 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1172')).
% 0.60/0.78 tff(3252,plain,
% 0.60/0.78 (~(i4 = i16)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 0.60/0.78 tff(3253,plain,
% 0.60/0.78 (~(i16 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3252, 3249])).
% 0.60/0.78 tff(3254,plain,
% 0.60/0.78 ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[335, 17])).
% 0.60/0.78 tff(3255,plain,
% 0.60/0.78 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3254, 3253])).
% 0.60/0.78 tff(3256,plain,
% 0.60/0.78 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3255])).
% 0.60/0.78 tff(3257,plain,
% 0.60/0.78 ((i15 = i4) <=> (i4 = i15)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3258,plain,
% 0.60/0.78 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3259,plain,
% 0.60/0.78 ((i15 = sk(a_1800, a_1850)) <=> (i4 = i15)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3258, 3257])).
% 0.60/0.78 tff(3260,plain,
% 0.60/0.78 ((i4 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3259])).
% 0.60/0.78 tff(3261,plain,
% 0.60/0.78 ((~(i4 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3260])).
% 0.60/0.78 tff(3262,plain,
% 0.60/0.78 ((~(i4 = i15)) <=> (~(i4 = i15))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3263,axiom,(~(i4 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1173')).
% 0.60/0.78 tff(3264,plain,
% 0.60/0.78 (~(i4 = i15)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3263, 3262])).
% 0.60/0.78 tff(3265,plain,
% 0.60/0.78 (~(i15 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3264, 3261])).
% 0.60/0.78 tff(3266,plain,
% 0.60/0.78 ((i15 = sk(a_1800, a_1850)) | (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[316, 17])).
% 0.60/0.78 tff(3267,plain,
% 0.60/0.78 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3266, 3265])).
% 0.60/0.78 tff(3268,plain,
% 0.60/0.78 (select(store(a_1763, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3267])).
% 0.60/0.78 tff(3269,plain,
% 0.60/0.78 ((i14 = i4) <=> (i4 = i14)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3270,plain,
% 0.60/0.78 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3271,plain,
% 0.60/0.78 ((i14 = sk(a_1800, a_1850)) <=> (i4 = i14)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3270, 3269])).
% 0.60/0.78 tff(3272,plain,
% 0.60/0.78 ((i4 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3271])).
% 0.60/0.78 tff(3273,plain,
% 0.60/0.78 ((~(i4 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3272])).
% 0.60/0.78 tff(3274,plain,
% 0.60/0.78 ((~(i4 = i14)) <=> (~(i4 = i14))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3275,axiom,(~(i4 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1174')).
% 0.60/0.78 tff(3276,plain,
% 0.60/0.78 (~(i4 = i14)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 0.60/0.78 tff(3277,plain,
% 0.60/0.78 (~(i14 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3276, 3273])).
% 0.60/0.78 tff(3278,plain,
% 0.60/0.78 ((i14 = sk(a_1800, a_1850)) | (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[297, 17])).
% 0.60/0.78 tff(3279,plain,
% 0.60/0.78 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3278, 3277])).
% 0.60/0.78 tff(3280,plain,
% 0.60/0.78 (select(store(a_1762, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3279])).
% 0.60/0.78 tff(3281,plain,
% 0.60/0.78 ((i13 = i4) <=> (i4 = i13)),
% 0.60/0.78 inference(commutativity,[status(thm)],[])).
% 0.60/0.78 tff(3282,plain,
% 0.60/0.78 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i4)),
% 0.60/0.78 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.78 tff(3283,plain,
% 0.60/0.78 ((i13 = sk(a_1800, a_1850)) <=> (i4 = i13)),
% 0.60/0.78 inference(transitivity,[status(thm)],[3282, 3281])).
% 0.60/0.78 tff(3284,plain,
% 0.60/0.78 ((i4 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(symmetry,[status(thm)],[3283])).
% 0.60/0.78 tff(3285,plain,
% 0.60/0.78 ((~(i4 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[3284])).
% 0.60/0.78 tff(3286,plain,
% 0.60/0.78 ((~(i4 = i13)) <=> (~(i4 = i13))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(3287,axiom,(~(i4 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1175')).
% 0.60/0.78 tff(3288,plain,
% 0.60/0.78 (~(i4 = i13)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 0.60/0.78 tff(3289,plain,
% 0.60/0.78 (~(i13 = sk(a_1800, a_1850))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[3288, 3285])).
% 0.60/0.78 tff(3290,plain,
% 0.60/0.78 ((i13 = sk(a_1800, a_1850)) | (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850)))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[278, 17])).
% 0.60/0.78 tff(3291,plain,
% 0.60/0.78 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[3290, 3289])).
% 0.60/0.78 tff(3292,plain,
% 0.60/0.79 (select(store(a_1761, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3291])).
% 0.60/0.79 tff(3293,plain,
% 0.60/0.79 ((i12 = i4) <=> (i4 = i12)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3294,plain,
% 0.60/0.79 ((i12 = sk(a_1800, a_1850)) <=> (i12 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3295,plain,
% 0.60/0.79 ((i12 = sk(a_1800, a_1850)) <=> (i4 = i12)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3294, 3293])).
% 0.60/0.79 tff(3296,plain,
% 0.60/0.79 ((i4 = i12) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3295])).
% 0.60/0.79 tff(3297,plain,
% 0.60/0.79 ((~(i4 = i12)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3296])).
% 0.60/0.79 tff(3298,plain,
% 0.60/0.79 ((~(i4 = i12)) <=> (~(i4 = i12))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3299,axiom,(~(i4 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1176')).
% 0.60/0.79 tff(3300,plain,
% 0.60/0.79 (~(i4 = i12)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 0.60/0.79 tff(3301,plain,
% 0.60/0.79 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3300, 3297])).
% 0.60/0.79 tff(3302,plain,
% 0.60/0.79 ((i12 = sk(a_1800, a_1850)) | (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[257, 17])).
% 0.60/0.79 tff(3303,plain,
% 0.60/0.79 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3302, 3301])).
% 0.60/0.79 tff(3304,plain,
% 0.60/0.79 (select(store(a_1760, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3303])).
% 0.60/0.79 tff(3305,plain,
% 0.60/0.79 ((i11 = i4) <=> (i4 = i11)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3306,plain,
% 0.60/0.79 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3307,plain,
% 0.60/0.79 ((i11 = sk(a_1800, a_1850)) <=> (i4 = i11)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3306, 3305])).
% 0.60/0.79 tff(3308,plain,
% 0.60/0.79 ((i4 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3307])).
% 0.60/0.79 tff(3309,plain,
% 0.60/0.79 ((~(i4 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3308])).
% 0.60/0.79 tff(3310,plain,
% 0.60/0.79 ((~(i4 = i11)) <=> (~(i4 = i11))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3311,axiom,(~(i4 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1177')).
% 0.60/0.79 tff(3312,plain,
% 0.60/0.79 (~(i4 = i11)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 0.60/0.79 tff(3313,plain,
% 0.60/0.79 (~(i11 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3312, 3309])).
% 0.60/0.79 tff(3314,plain,
% 0.60/0.79 ((i11 = sk(a_1800, a_1850)) | (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[236, 17])).
% 0.60/0.79 tff(3315,plain,
% 0.60/0.79 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3314, 3313])).
% 0.60/0.79 tff(3316,plain,
% 0.60/0.79 (select(store(a_1759, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3315])).
% 0.60/0.79 tff(3317,plain,
% 0.60/0.79 ((i10 = i4) <=> (i4 = i10)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3318,plain,
% 0.60/0.79 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3319,plain,
% 0.60/0.79 ((i10 = sk(a_1800, a_1850)) <=> (i4 = i10)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3318, 3317])).
% 0.60/0.79 tff(3320,plain,
% 0.60/0.79 ((i4 = i10) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3319])).
% 0.60/0.79 tff(3321,plain,
% 0.60/0.79 ((~(i4 = i10)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3320])).
% 0.60/0.79 tff(3322,plain,
% 0.60/0.79 ((~(i4 = i10)) <=> (~(i4 = i10))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3323,axiom,(~(i4 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1178')).
% 0.60/0.79 tff(3324,plain,
% 0.60/0.79 (~(i4 = i10)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 0.60/0.79 tff(3325,plain,
% 0.60/0.79 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3324, 3321])).
% 0.60/0.79 tff(3326,plain,
% 0.60/0.79 ((i10 = sk(a_1800, a_1850)) | (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[217, 17])).
% 0.60/0.79 tff(3327,plain,
% 0.60/0.79 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3326, 3325])).
% 0.60/0.79 tff(3328,plain,
% 0.60/0.79 (select(store(a_1758, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3327])).
% 0.60/0.79 tff(3329,plain,
% 0.60/0.79 ((i9 = i4) <=> (i4 = i9)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3330,plain,
% 0.60/0.79 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3331,plain,
% 0.60/0.79 ((i9 = sk(a_1800, a_1850)) <=> (i4 = i9)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3330, 3329])).
% 0.60/0.79 tff(3332,plain,
% 0.60/0.79 ((i4 = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3331])).
% 0.60/0.79 tff(3333,plain,
% 0.60/0.79 ((~(i4 = i9)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3332])).
% 0.60/0.79 tff(3334,plain,
% 0.60/0.79 ((~(i4 = i9)) <=> (~(i4 = i9))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3335,axiom,(~(i4 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1179')).
% 0.60/0.79 tff(3336,plain,
% 0.60/0.79 (~(i4 = i9)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 0.60/0.79 tff(3337,plain,
% 0.60/0.79 (~(i9 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3336, 3333])).
% 0.60/0.79 tff(3338,plain,
% 0.60/0.79 ((i9 = sk(a_1800, a_1850)) | (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[198, 17])).
% 0.60/0.79 tff(3339,plain,
% 0.60/0.79 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3338, 3337])).
% 0.60/0.79 tff(3340,plain,
% 0.60/0.79 (select(store(a_1757, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3339])).
% 0.60/0.79 tff(3341,plain,
% 0.60/0.79 ((i8 = i4) <=> (i4 = i8)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3342,plain,
% 0.60/0.79 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3343,plain,
% 0.60/0.79 ((i8 = sk(a_1800, a_1850)) <=> (i4 = i8)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3342, 3341])).
% 0.60/0.79 tff(3344,plain,
% 0.60/0.79 ((i4 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3343])).
% 0.60/0.79 tff(3345,plain,
% 0.60/0.79 ((~(i4 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3344])).
% 0.60/0.79 tff(3346,plain,
% 0.60/0.79 ((~(i4 = i8)) <=> (~(i4 = i8))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3347,axiom,(~(i4 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1180')).
% 0.60/0.79 tff(3348,plain,
% 0.60/0.79 (~(i4 = i8)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 0.60/0.79 tff(3349,plain,
% 0.60/0.79 (~(i8 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3348, 3345])).
% 0.60/0.79 tff(3350,plain,
% 0.60/0.79 ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[179, 17])).
% 0.60/0.79 tff(3351,plain,
% 0.60/0.79 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3350, 3349])).
% 0.60/0.79 tff(3352,plain,
% 0.60/0.79 (select(store(a_1756, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3351])).
% 0.60/0.79 tff(3353,plain,
% 0.60/0.79 ((i7 = i4) <=> (i4 = i7)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3354,plain,
% 0.60/0.79 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3355,plain,
% 0.60/0.79 ((i7 = sk(a_1800, a_1850)) <=> (i4 = i7)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3354, 3353])).
% 0.60/0.79 tff(3356,plain,
% 0.60/0.79 ((i4 = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3355])).
% 0.60/0.79 tff(3357,plain,
% 0.60/0.79 ((~(i4 = i7)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3356])).
% 0.60/0.79 tff(3358,plain,
% 0.60/0.79 ((~(i4 = i7)) <=> (~(i4 = i7))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3359,axiom,(~(i4 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1181')).
% 0.60/0.79 tff(3360,plain,
% 0.60/0.79 (~(i4 = i7)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3359, 3358])).
% 0.60/0.79 tff(3361,plain,
% 0.60/0.79 (~(i7 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3360, 3357])).
% 0.60/0.79 tff(3362,plain,
% 0.60/0.79 ((i7 = sk(a_1800, a_1850)) | (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[160, 17])).
% 0.60/0.79 tff(3363,plain,
% 0.60/0.79 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3362, 3361])).
% 0.60/0.79 tff(3364,plain,
% 0.60/0.79 (select(store(a_1755, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3363])).
% 0.60/0.79 tff(3365,plain,
% 0.60/0.79 ((i6 = i4) <=> (i4 = i6)),
% 0.60/0.79 inference(commutativity,[status(thm)],[])).
% 0.60/0.79 tff(3366,plain,
% 0.60/0.79 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i4)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[2933])).
% 0.60/0.79 tff(3367,plain,
% 0.60/0.79 ((i6 = sk(a_1800, a_1850)) <=> (i4 = i6)),
% 0.60/0.79 inference(transitivity,[status(thm)],[3366, 3365])).
% 0.60/0.79 tff(3368,plain,
% 0.60/0.79 ((i4 = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3367])).
% 0.60/0.79 tff(3369,plain,
% 0.60/0.79 ((~(i4 = i6)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3368])).
% 0.60/0.79 tff(3370,plain,
% 0.60/0.79 ((~(i4 = i6)) <=> (~(i4 = i6))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3371,axiom,(~(i4 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1182')).
% 0.60/0.79 tff(3372,plain,
% 0.60/0.79 (~(i4 = i6)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3371, 3370])).
% 0.60/0.79 tff(3373,plain,
% 0.60/0.79 (~(i6 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3372, 3369])).
% 0.60/0.79 tff(3374,plain,
% 0.60/0.79 ((i6 = sk(a_1800, a_1850)) | (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[141, 17])).
% 0.60/0.79 tff(3375,plain,
% 0.60/0.79 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3374, 3373])).
% 0.60/0.79 tff(3376,plain,
% 0.60/0.79 (select(store(a_1754, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3375])).
% 0.60/0.79 tff(3377,plain,
% 0.60/0.79 (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.79 inference(transitivity,[status(thm)],[129, 3376, 148, 3364, 167, 3352, 186, 3340, 205, 3328, 224, 3316, 243, 3304, 266, 3292, 285, 3280, 304, 3268, 323, 3256, 342, 3244, 361, 3232, 380, 3220, 399, 3208, 418, 3196, 437, 3194, 456, 3182, 475, 3170, 493, 3168, 512, 3157, 531, 3146, 550, 3135, 569, 3124, 592, 3113, 611, 2284, 630, 3102, 649, 3091, 668, 3080, 687, 3069, 706, 3058, 725, 3047, 744, 3039, 767, 3028, 786, 3017, 809, 3006, 828, 2995, 847, 2984, 866, 2973, 885, 2962, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.60/0.79 tff(3378,plain,
% 0.60/0.79 ((select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3377, 2953])).
% 0.60/0.79 tff(3379,plain,
% 0.60/0.79 ((e_1852 = e_1853) <=> (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3378])).
% 0.60/0.79 tff(3380,plain,
% 0.60/0.79 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3379])).
% 0.60/0.79 tff(3381,plain,
% 0.60/0.79 (~(select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[999, 3380])).
% 0.60/0.79 tff(3382,plain,
% 0.60/0.79 ((i5 = sk(a_1800, a_1850)) | (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850)))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[122, 17])).
% 0.60/0.79 tff(3383,plain,
% 0.60/0.79 ($false),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3382, 3381, 2941])).
% 0.60/0.79 tff(3384,plain,((~(i4 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i21 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.79 tff(3385,plain,
% 0.60/0.79 (~(i4 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3384, 2930, 2904, 2922, 2910, 22, 2577])).
% 0.60/0.79 tff(3386,plain,
% 0.60/0.79 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1109, 3385])).
% 0.60/0.79 tff(3387,plain,
% 0.60/0.79 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3386])).
% 0.60/0.79 tff(3388,plain,
% 0.60/0.79 (store(a_1844, i32, e32) = store(store(a_1843, i5, e5), i32, e32)),
% 0.60/0.79 inference(symmetry,[status(thm)],[1116])).
% 0.60/0.79 tff(3389,plain,
% 0.60/0.79 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3388])).
% 0.60/0.79 tff(3390,plain,
% 0.60/0.79 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3389])).
% 0.60/0.79 tff(3391,assumption,(i45 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.79 tff(3392,plain,
% 0.60/0.79 (sk(a_1800, a_1850) = i45),
% 0.60/0.79 inference(symmetry,[status(thm)],[3391])).
% 0.60/0.79 tff(3393,plain,
% 0.60/0.79 ((i43 = sk(a_1800, a_1850)) <=> (i43 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3394,plain,
% 0.60/0.79 ((i43 = i45) <=> (i43 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3393])).
% 0.60/0.79 tff(3395,plain,
% 0.60/0.79 ((~(i43 = i45)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3394])).
% 0.60/0.79 tff(3396,plain,
% 0.60/0.79 ((~(i43 = i45)) <=> (~(i43 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3397,axiom,(~(i43 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp129')).
% 0.60/0.79 tff(3398,plain,
% 0.60/0.79 (~(i43 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 0.60/0.79 tff(3399,plain,
% 0.60/0.79 (~(i43 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3398, 3395])).
% 0.60/0.79 tff(3400,plain,
% 0.60/0.79 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[2795])).
% 0.60/0.79 tff(3401,assumption,(~(i46 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.79 tff(3402,plain,
% 0.60/0.79 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1829, 3401])).
% 0.60/0.79 tff(3403,plain,
% 0.60/0.79 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3402])).
% 0.60/0.79 tff(3404,plain,
% 0.60/0.79 (select(store(store(a_1793, i44, e44), i45, e45), i45) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[903, 3391])).
% 0.60/0.79 tff(3405,plain,
% 0.60/0.79 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1793, i44, e44), i45, e45), i45) = e45)),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(3406,plain,
% 0.60/0.79 (select(store(store(a_1793, i44, e44), i45, e45), i45) = e45),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3405, 47])).
% 0.60/0.79 tff(3407,plain,
% 0.60/0.79 (e45 = select(store(store(a_1793, i44, e44), i45, e45), i45)),
% 0.60/0.79 inference(symmetry,[status(thm)],[3406])).
% 0.60/0.79 tff(3408,plain,
% 0.60/0.79 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1801, i30, e30), i45, e45), i45) = e45)),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(3409,plain,
% 0.60/0.79 (select(store(store(a_1801, i30, e30), i45, e45), i45) = e45),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[3408, 47])).
% 0.60/0.79 tff(3410,plain,
% 0.60/0.79 ((a_1802 = store(a_1801, i30, e30)) <=> (a_1802 = store(a_1801, i30, e30))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3411,axiom,(a_1802 = store(a_1801, i30, e30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp51')).
% 0.60/0.79 tff(3412,plain,
% 0.60/0.79 (a_1802 = store(a_1801, i30, e30)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 0.60/0.79 tff(3413,plain,
% 0.60/0.79 (store(a_1801, i30, e30) = a_1802),
% 0.60/0.79 inference(symmetry,[status(thm)],[3412])).
% 0.60/0.79 tff(3414,plain,
% 0.60/0.79 (store(store(a_1801, i30, e30), i45, e45) = store(a_1802, i45, e45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3413])).
% 0.60/0.79 tff(3415,plain,
% 0.60/0.79 (store(a_1802, i45, e45) = store(store(a_1801, i30, e30), i45, e45)),
% 0.60/0.79 inference(symmetry,[status(thm)],[3414])).
% 0.60/0.79 tff(3416,plain,
% 0.60/0.79 (select(store(a_1802, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1801, i30, e30), i45, e45), i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3415, 3392])).
% 0.60/0.79 tff(3417,plain,
% 0.60/0.79 (select(store(a_1802, i45, e45), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.79 inference(transitivity,[status(thm)],[3416, 3409, 3407, 3404, 3403, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.60/0.79 tff(3418,plain,
% 0.60/0.79 ((i32 = i45) <=> (i32 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3391])).
% 0.60/0.79 tff(3419,plain,
% 0.60/0.79 ((~(i32 = i45)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3418])).
% 0.60/0.79 tff(3420,plain,
% 0.60/0.79 ((~(i32 = i45)) <=> (~(i32 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3421,axiom,(~(i32 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp261')).
% 0.60/0.79 tff(3422,plain,
% 0.60/0.79 (~(i32 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 0.60/0.79 tff(3423,plain,
% 0.60/0.79 (~(i32 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3422, 3419])).
% 0.60/0.79 tff(3424,plain,
% 0.60/0.79 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1128, 3423])).
% 0.60/0.79 tff(3425,plain,
% 0.60/0.79 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3424])).
% 0.60/0.79 tff(3426,plain,
% 0.60/0.79 ((i5 = sk(a_1800, a_1850)) <=> (i5 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3427,plain,
% 0.60/0.79 ((i5 = i45) <=> (i5 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3426])).
% 0.60/0.79 tff(3428,plain,
% 0.60/0.79 ((~(i5 = i45)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3427])).
% 0.60/0.79 tff(3429,plain,
% 0.60/0.79 ((~(i5 = i45)) <=> (~(i5 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3430,axiom,(~(i5 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1098')).
% 0.60/0.79 tff(3431,plain,
% 0.60/0.79 (~(i5 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3430, 3429])).
% 0.60/0.79 tff(3432,plain,
% 0.60/0.79 (~(i5 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3431, 3428])).
% 0.60/0.79 tff(3433,plain,
% 0.60/0.79 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1147, 3432])).
% 0.60/0.79 tff(3434,plain,
% 0.60/0.79 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3433])).
% 0.60/0.79 tff(3435,plain,
% 0.60/0.79 ((i12 = sk(a_1800, a_1850)) <=> (i12 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3436,plain,
% 0.60/0.79 ((i12 = i45) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3435])).
% 0.60/0.79 tff(3437,plain,
% 0.60/0.79 ((~(i12 = i45)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3436])).
% 0.60/0.79 tff(3438,plain,
% 0.60/0.79 ((~(i12 = i45)) <=> (~(i12 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3439,axiom,(~(i12 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp811')).
% 0.60/0.79 tff(3440,plain,
% 0.60/0.79 (~(i12 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 0.60/0.79 tff(3441,plain,
% 0.60/0.79 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3440, 3437])).
% 0.60/0.79 tff(3442,plain,
% 0.60/0.79 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1166, 3441])).
% 0.60/0.79 tff(3443,plain,
% 0.60/0.79 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3442])).
% 0.60/0.79 tff(3444,plain,
% 0.60/0.79 ((i37 = sk(a_1800, a_1850)) <=> (i37 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3445,plain,
% 0.60/0.79 ((i37 = i45) <=> (i37 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3444])).
% 0.60/0.79 tff(3446,plain,
% 0.60/0.79 ((~(i37 = i45)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3445])).
% 0.60/0.79 tff(3447,plain,
% 0.60/0.79 (~(i37 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[1746, 3446])).
% 0.60/0.79 tff(3448,plain,
% 0.60/0.79 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1185, 3447])).
% 0.60/0.79 tff(3449,plain,
% 0.60/0.79 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3448])).
% 0.60/0.79 tff(3450,plain,
% 0.60/0.79 ((i3 = sk(a_1800, a_1850)) <=> (i3 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3451,plain,
% 0.60/0.79 ((i3 = i45) <=> (i3 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3450])).
% 0.60/0.79 tff(3452,plain,
% 0.60/0.79 ((~(i3 = i45)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3451])).
% 0.60/0.79 tff(3453,plain,
% 0.60/0.79 ((~(i3 = i45)) <=> (~(i3 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3454,axiom,(~(i3 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1189')).
% 0.60/0.79 tff(3455,plain,
% 0.60/0.79 (~(i3 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 0.60/0.79 tff(3456,plain,
% 0.60/0.79 (~(i3 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3455, 3452])).
% 0.60/0.79 tff(3457,plain,
% 0.60/0.79 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1204, 3456])).
% 0.60/0.79 tff(3458,plain,
% 0.60/0.79 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3457])).
% 0.60/0.79 tff(3459,plain,
% 0.60/0.79 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3460,plain,
% 0.60/0.79 ((i29 = i45) <=> (i29 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3459])).
% 0.60/0.79 tff(3461,plain,
% 0.60/0.79 ((~(i29 = i45)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3460])).
% 0.60/0.79 tff(3462,plain,
% 0.60/0.79 ((~(i29 = i45)) <=> (~(i29 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3463,axiom,(~(i29 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp318')).
% 0.60/0.79 tff(3464,plain,
% 0.60/0.79 (~(i29 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 0.60/0.79 tff(3465,plain,
% 0.60/0.79 (~(i29 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3464, 3461])).
% 0.60/0.79 tff(3466,plain,
% 0.60/0.79 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1223, 3465])).
% 0.60/0.79 tff(3467,plain,
% 0.60/0.79 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3466])).
% 0.60/0.79 tff(3468,plain,
% 0.60/0.79 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3469,plain,
% 0.60/0.79 ((i10 = i45) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3468])).
% 0.60/0.79 tff(3470,plain,
% 0.60/0.79 ((~(i10 = i45)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3469])).
% 0.60/0.79 tff(3471,plain,
% 0.60/0.79 ((~(i10 = i45)) <=> (~(i10 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3472,axiom,(~(i10 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp888')).
% 0.60/0.79 tff(3473,plain,
% 0.60/0.79 (~(i10 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3472, 3471])).
% 0.60/0.79 tff(3474,plain,
% 0.60/0.79 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3473, 3470])).
% 0.60/0.79 tff(3475,plain,
% 0.60/0.79 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1261, 3474])).
% 0.60/0.79 tff(3476,plain,
% 0.60/0.79 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3475])).
% 0.60/0.79 tff(3477,plain,
% 0.60/0.79 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3478,plain,
% 0.60/0.79 ((i2 = i45) <=> (i2 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3477])).
% 0.60/0.79 tff(3479,plain,
% 0.60/0.79 ((~(i2 = i45)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3478])).
% 0.60/0.79 tff(3480,plain,
% 0.60/0.79 ((~(i2 = i45)) <=> (~(i2 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3481,axiom,(~(i2 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1236')).
% 0.60/0.79 tff(3482,plain,
% 0.60/0.79 (~(i2 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 0.60/0.79 tff(3483,plain,
% 0.60/0.79 (~(i2 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3482, 3479])).
% 0.60/0.79 tff(3484,plain,
% 0.60/0.79 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1280, 3483])).
% 0.60/0.79 tff(3485,plain,
% 0.60/0.79 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3484])).
% 0.60/0.79 tff(3486,plain,
% 0.60/0.79 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i45)),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.79 tff(3487,plain,
% 0.60/0.79 ((i35 = i45) <=> (i35 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3486])).
% 0.60/0.79 tff(3488,plain,
% 0.60/0.79 ((~(i35 = i45)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[3487])).
% 0.60/0.79 tff(3489,plain,
% 0.60/0.79 ((~(i35 = i45)) <=> (~(i35 = i45))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(3490,axiom,(~(i35 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp213')).
% 0.60/0.79 tff(3491,plain,
% 0.60/0.79 (~(i35 = i45)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3490, 3489])).
% 0.60/0.79 tff(3492,plain,
% 0.60/0.79 (~(i35 = sk(a_1800, a_1850))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[3491, 3488])).
% 0.60/0.79 tff(3493,plain,
% 0.60/0.79 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1310, 3492])).
% 0.60/0.79 tff(3494,plain,
% 0.60/0.79 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.60/0.79 inference(symmetry,[status(thm)],[3493])).
% 0.60/0.79 tff(3495,plain,
% 0.60/0.79 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[1328, 17, 3401])).
% 0.60/0.80 tff(3496,plain,
% 0.60/0.80 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3495])).
% 0.60/0.80 tff(3497,plain,
% 0.60/0.80 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3498,plain,
% 0.60/0.80 ((i25 = i45) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3497])).
% 0.60/0.80 tff(3499,plain,
% 0.60/0.80 ((~(i25 = i45)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3498])).
% 0.60/0.80 tff(3500,plain,
% 0.60/0.80 ((~(i25 = i45)) <=> (~(i25 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3501,axiom,(~(i25 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp408')).
% 0.60/0.80 tff(3502,plain,
% 0.60/0.80 (~(i25 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3501, 3500])).
% 0.60/0.80 tff(3503,plain,
% 0.60/0.80 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3502, 3499])).
% 0.60/0.80 tff(3504,plain,
% 0.60/0.80 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1348, 3503])).
% 0.60/0.80 tff(3505,plain,
% 0.60/0.80 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3504])).
% 0.60/0.80 tff(3506,plain,
% 0.60/0.80 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3507,plain,
% 0.60/0.80 ((i23 = i45) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3506])).
% 0.60/0.80 tff(3508,plain,
% 0.60/0.80 ((~(i23 = i45)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3507])).
% 0.60/0.80 tff(3509,plain,
% 0.60/0.80 ((~(i23 = i45)) <=> (~(i23 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3510,axiom,(~(i23 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp459')).
% 0.60/0.80 tff(3511,plain,
% 0.60/0.80 (~(i23 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3510, 3509])).
% 0.60/0.80 tff(3512,plain,
% 0.60/0.80 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3511, 3508])).
% 0.60/0.80 tff(3513,plain,
% 0.60/0.80 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1367, 3512])).
% 0.60/0.80 tff(3514,plain,
% 0.60/0.80 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3513])).
% 0.60/0.80 tff(3515,plain,
% 0.60/0.80 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3516,plain,
% 0.60/0.80 ((i38 = i45) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3515])).
% 0.60/0.80 tff(3517,plain,
% 0.60/0.80 ((~(i38 = i45)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3516])).
% 0.60/0.80 tff(3518,plain,
% 0.60/0.80 ((~(i38 = i45)) <=> (~(i38 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3519,axiom,(~(i38 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp174')).
% 0.60/0.80 tff(3520,plain,
% 0.60/0.80 (~(i38 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 0.60/0.80 tff(3521,plain,
% 0.60/0.80 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3520, 3517])).
% 0.60/0.80 tff(3522,plain,
% 0.60/0.80 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1386, 3521])).
% 0.60/0.80 tff(3523,plain,
% 0.60/0.80 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3522])).
% 0.60/0.80 tff(3524,plain,
% 0.60/0.80 ((i44 = sk(a_1800, a_1850)) <=> (i44 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3525,plain,
% 0.60/0.80 ((i44 = i45) <=> (i44 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3524])).
% 0.60/0.80 tff(3526,plain,
% 0.60/0.80 ((~(i44 = i45)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3525])).
% 0.60/0.80 tff(3527,plain,
% 0.60/0.80 ((~(i44 = i45)) <=> (~(i44 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3528,axiom,(~(i44 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp123')).
% 0.60/0.80 tff(3529,plain,
% 0.60/0.80 (~(i44 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 0.60/0.80 tff(3530,plain,
% 0.60/0.80 (~(i44 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3529, 3526])).
% 0.60/0.80 tff(3531,plain,
% 0.60/0.80 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1405, 3530])).
% 0.60/0.80 tff(3532,plain,
% 0.60/0.80 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3531])).
% 0.60/0.80 tff(3533,plain,
% 0.60/0.80 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3534,plain,
% 0.60/0.80 ((i36 = i45) <=> (i36 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3533])).
% 0.60/0.80 tff(3535,plain,
% 0.60/0.80 ((~(i36 = i45)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3534])).
% 0.60/0.80 tff(3536,plain,
% 0.60/0.80 ((~(i36 = i45)) <=> (~(i36 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3537,axiom,(~(i36 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp199')).
% 0.60/0.80 tff(3538,plain,
% 0.60/0.80 (~(i36 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 0.60/0.80 tff(3539,plain,
% 0.60/0.80 (~(i36 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3538, 3535])).
% 0.60/0.80 tff(3540,plain,
% 0.60/0.80 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1424, 3539])).
% 0.60/0.80 tff(3541,plain,
% 0.60/0.80 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3540])).
% 0.60/0.80 tff(3542,plain,
% 0.60/0.80 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3543,plain,
% 0.60/0.80 ((i11 = i45) <=> (i11 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3542])).
% 0.60/0.80 tff(3544,plain,
% 0.60/0.80 ((~(i11 = i45)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3543])).
% 0.60/0.80 tff(3545,plain,
% 0.60/0.80 ((~(i11 = i45)) <=> (~(i11 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3546,axiom,(~(i11 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp849')).
% 0.60/0.80 tff(3547,plain,
% 0.60/0.80 (~(i11 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3546, 3545])).
% 0.60/0.80 tff(3548,plain,
% 0.60/0.80 (~(i11 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3547, 3544])).
% 0.60/0.80 tff(3549,plain,
% 0.60/0.80 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1443, 3548])).
% 0.60/0.80 tff(3550,plain,
% 0.60/0.80 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3549])).
% 0.60/0.80 tff(3551,plain,
% 0.60/0.80 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3552,plain,
% 0.60/0.80 ((i34 = i45) <=> (i34 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3551])).
% 0.60/0.80 tff(3553,plain,
% 0.60/0.80 ((~(i34 = i45)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3552])).
% 0.60/0.80 tff(3554,plain,
% 0.60/0.80 ((~(i34 = i45)) <=> (~(i34 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3555,axiom,(~(i34 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp228')).
% 0.60/0.80 tff(3556,plain,
% 0.60/0.80 (~(i34 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3555, 3554])).
% 0.60/0.80 tff(3557,plain,
% 0.60/0.80 (~(i34 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3556, 3553])).
% 0.60/0.80 tff(3558,plain,
% 0.60/0.80 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1462, 3557])).
% 0.60/0.80 tff(3559,plain,
% 0.60/0.80 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3558])).
% 0.60/0.80 tff(3560,plain,
% 0.60/0.80 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3561,plain,
% 0.60/0.80 ((i26 = i45) <=> (i26 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3560])).
% 0.60/0.80 tff(3562,plain,
% 0.60/0.80 ((~(i26 = i45)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3561])).
% 0.60/0.80 tff(3563,plain,
% 0.60/0.80 ((~(i26 = i45)) <=> (~(i26 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3564,axiom,(~(i26 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp384')).
% 0.60/0.80 tff(3565,plain,
% 0.60/0.80 (~(i26 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 0.60/0.80 tff(3566,plain,
% 0.60/0.80 (~(i26 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3565, 3562])).
% 0.60/0.80 tff(3567,plain,
% 0.60/0.80 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1481, 3566])).
% 0.60/0.80 tff(3568,plain,
% 0.60/0.80 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3567])).
% 0.60/0.80 tff(3569,plain,
% 0.60/0.80 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3570,plain,
% 0.60/0.80 ((i18 = i45) <=> (i18 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3569])).
% 0.60/0.80 tff(3571,plain,
% 0.60/0.80 ((~(i18 = i45)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3570])).
% 0.60/0.80 tff(3572,plain,
% 0.60/0.80 ((~(i18 = i45)) <=> (~(i18 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3573,axiom,(~(i18 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp604')).
% 0.60/0.80 tff(3574,plain,
% 0.60/0.80 (~(i18 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 0.60/0.80 tff(3575,plain,
% 0.60/0.80 (~(i18 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3574, 3571])).
% 0.60/0.80 tff(3576,plain,
% 0.60/0.80 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1500, 3575])).
% 0.60/0.80 tff(3577,plain,
% 0.60/0.80 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3576])).
% 0.60/0.80 tff(3578,plain,
% 0.60/0.80 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1518, 17, 2794])).
% 0.60/0.80 tff(3579,plain,
% 0.60/0.80 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3578])).
% 0.60/0.80 tff(3580,plain,
% 0.60/0.80 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3581,plain,
% 0.60/0.80 ((i42 = i45) <=> (i42 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3580])).
% 0.60/0.80 tff(3582,plain,
% 0.60/0.80 ((~(i42 = i45)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3581])).
% 0.60/0.80 tff(3583,plain,
% 0.60/0.80 ((~(i42 = i45)) <=> (~(i42 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3584,axiom,(~(i42 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp136')).
% 0.60/0.80 tff(3585,plain,
% 0.60/0.80 (~(i42 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 0.60/0.80 tff(3586,plain,
% 0.60/0.80 (~(i42 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3585, 3582])).
% 0.60/0.80 tff(3587,plain,
% 0.60/0.80 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1538, 3586])).
% 0.60/0.80 tff(3588,plain,
% 0.60/0.80 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3587])).
% 0.60/0.80 tff(3589,plain,
% 0.60/0.80 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3590,plain,
% 0.60/0.80 ((i17 = i45) <=> (i17 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3589])).
% 0.60/0.80 tff(3591,plain,
% 0.60/0.80 ((~(i17 = i45)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3590])).
% 0.60/0.80 tff(3592,plain,
% 0.60/0.80 ((~(i17 = i45)) <=> (~(i17 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3593,axiom,(~(i17 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp636')).
% 0.60/0.80 tff(3594,plain,
% 0.60/0.80 (~(i17 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 0.60/0.80 tff(3595,plain,
% 0.60/0.80 (~(i17 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3594, 3591])).
% 0.60/0.80 tff(3596,plain,
% 0.60/0.80 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1557, 3595])).
% 0.60/0.80 tff(3597,plain,
% 0.60/0.80 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3596])).
% 0.60/0.80 tff(3598,plain,
% 0.60/0.80 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3599,plain,
% 0.60/0.80 ((i9 = i45) <=> (i9 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3598])).
% 0.60/0.80 tff(3600,plain,
% 0.60/0.80 ((~(i9 = i45)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3599])).
% 0.60/0.80 tff(3601,plain,
% 0.60/0.80 ((~(i9 = i45)) <=> (~(i9 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3602,axiom,(~(i9 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp928')).
% 0.60/0.80 tff(3603,plain,
% 0.60/0.80 (~(i9 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 0.60/0.80 tff(3604,plain,
% 0.60/0.80 (~(i9 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3603, 3600])).
% 0.60/0.80 tff(3605,plain,
% 0.60/0.80 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1576, 3604])).
% 0.60/0.80 tff(3606,plain,
% 0.60/0.80 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3605])).
% 0.60/0.80 tff(3607,plain,
% 0.60/0.80 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3608,plain,
% 0.60/0.80 ((i33 = i45) <=> (i33 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3607])).
% 0.60/0.80 tff(3609,plain,
% 0.60/0.80 ((~(i33 = i45)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3608])).
% 0.60/0.80 tff(3610,plain,
% 0.60/0.80 ((~(i33 = i45)) <=> (~(i33 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3611,axiom,(~(i33 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp244')).
% 0.60/0.80 tff(3612,plain,
% 0.60/0.80 (~(i33 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3611, 3610])).
% 0.60/0.80 tff(3613,plain,
% 0.60/0.80 (~(i33 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3612, 3609])).
% 0.60/0.80 tff(3614,plain,
% 0.60/0.80 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1595, 3613])).
% 0.60/0.80 tff(3615,plain,
% 0.60/0.80 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3614])).
% 0.60/0.80 tff(3616,plain,
% 0.60/0.80 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3617,plain,
% 0.60/0.80 ((i7 = i45) <=> (i7 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3616])).
% 0.60/0.80 tff(3618,plain,
% 0.60/0.80 ((~(i7 = i45)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3617])).
% 0.60/0.80 tff(3619,plain,
% 0.60/0.80 ((~(i7 = i45)) <=> (~(i7 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3620,axiom,(~(i7 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1011')).
% 0.60/0.80 tff(3621,plain,
% 0.60/0.80 (~(i7 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3620, 3619])).
% 0.60/0.80 tff(3622,plain,
% 0.60/0.80 (~(i7 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3621, 3618])).
% 0.60/0.80 tff(3623,plain,
% 0.60/0.80 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1614, 3622])).
% 0.60/0.80 tff(3624,plain,
% 0.60/0.80 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3623])).
% 0.60/0.80 tff(3625,plain,
% 0.60/0.80 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3626,plain,
% 0.60/0.80 ((i15 = i45) <=> (i15 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3625])).
% 0.60/0.80 tff(3627,plain,
% 0.60/0.80 ((~(i15 = i45)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3626])).
% 0.60/0.80 tff(3628,plain,
% 0.60/0.80 ((~(i15 = i45)) <=> (~(i15 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3629,axiom,(~(i15 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp703')).
% 0.60/0.80 tff(3630,plain,
% 0.60/0.80 (~(i15 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3629, 3628])).
% 0.60/0.80 tff(3631,plain,
% 0.60/0.80 (~(i15 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3630, 3627])).
% 0.60/0.80 tff(3632,plain,
% 0.60/0.80 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1633, 3631])).
% 0.60/0.80 tff(3633,plain,
% 0.60/0.80 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3632])).
% 0.60/0.80 tff(3634,plain,
% 0.60/0.80 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3635,plain,
% 0.60/0.80 ((i27 = i45) <=> (i27 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3634])).
% 0.60/0.80 tff(3636,plain,
% 0.60/0.80 ((~(i27 = i45)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3635])).
% 0.60/0.80 tff(3637,plain,
% 0.60/0.80 ((~(i27 = i45)) <=> (~(i27 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3638,axiom,(~(i27 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp361')).
% 0.60/0.80 tff(3639,plain,
% 0.60/0.80 (~(i27 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3638, 3637])).
% 0.60/0.80 tff(3640,plain,
% 0.60/0.80 (~(i27 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3639, 3636])).
% 0.60/0.80 tff(3641,plain,
% 0.60/0.80 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1652, 3640])).
% 0.60/0.80 tff(3642,plain,
% 0.60/0.80 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3641])).
% 0.60/0.80 tff(3643,plain,
% 0.60/0.80 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3644,plain,
% 0.60/0.80 ((i6 = i45) <=> (i6 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3643])).
% 0.60/0.80 tff(3645,plain,
% 0.60/0.80 ((~(i6 = i45)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3644])).
% 0.60/0.80 tff(3646,plain,
% 0.60/0.80 ((~(i6 = i45)) <=> (~(i6 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3647,axiom,(~(i6 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1054')).
% 0.60/0.80 tff(3648,plain,
% 0.60/0.80 (~(i6 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3647, 3646])).
% 0.60/0.80 tff(3649,plain,
% 0.60/0.80 (~(i6 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3648, 3645])).
% 0.60/0.80 tff(3650,plain,
% 0.60/0.80 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1671, 3649])).
% 0.60/0.80 tff(3651,plain,
% 0.60/0.80 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3650])).
% 0.60/0.80 tff(3652,plain,
% 0.60/0.80 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3653,plain,
% 0.60/0.80 ((i13 = i45) <=> (i13 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3652])).
% 0.60/0.80 tff(3654,plain,
% 0.60/0.80 ((~(i13 = i45)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3653])).
% 0.60/0.80 tff(3655,plain,
% 0.60/0.80 ((~(i13 = i45)) <=> (~(i13 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3656,axiom,(~(i13 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp774')).
% 0.60/0.80 tff(3657,plain,
% 0.60/0.80 (~(i13 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 0.60/0.80 tff(3658,plain,
% 0.60/0.80 (~(i13 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3657, 3654])).
% 0.60/0.80 tff(3659,plain,
% 0.60/0.80 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1690, 3658])).
% 0.60/0.80 tff(3660,plain,
% 0.60/0.80 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3659])).
% 0.60/0.80 tff(3661,plain,
% 0.60/0.80 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3662,plain,
% 0.60/0.80 ((i14 = i45) <=> (i14 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3661])).
% 0.60/0.80 tff(3663,plain,
% 0.60/0.80 ((~(i14 = i45)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3662])).
% 0.60/0.80 tff(3664,plain,
% 0.60/0.80 ((~(i14 = i45)) <=> (~(i14 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3665,axiom,(~(i14 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp738')).
% 0.60/0.80 tff(3666,plain,
% 0.60/0.80 (~(i14 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 0.60/0.80 tff(3667,plain,
% 0.60/0.80 (~(i14 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3666, 3663])).
% 0.60/0.80 tff(3668,plain,
% 0.60/0.80 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[1708, 3667])).
% 0.60/0.80 tff(3669,plain,
% 0.60/0.80 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3668])).
% 0.60/0.80 tff(3670,plain,
% 0.60/0.80 (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[1028])).
% 0.60/0.80 tff(3671,plain,
% 0.60/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i49 = sk(a_1800, a_1850)) | (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i49 = sk(a_1800, a_1850)) | (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3672,plain,
% 0.60/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i49 = sk(a_1800, a_1850)) | (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))))),
% 0.60/0.80 inference(quant_inst,[status(thm)],[])).
% 0.60/0.80 tff(3673,plain,
% 0.60/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i49 = sk(a_1800, a_1850)) | (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 0.60/0.80 tff(3674,plain,
% 0.60/0.80 (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[3673, 17, 2588])).
% 0.60/0.80 tff(3675,plain,
% 0.60/0.80 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3674])).
% 0.60/0.80 tff(3676,plain,
% 0.60/0.80 ((a_1811 = store(a_1810, i16, e16)) <=> (a_1811 = store(a_1810, i16, e16))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3677,axiom,(a_1811 = store(a_1810, i16, e16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp60')).
% 0.60/0.80 tff(3678,plain,
% 0.60/0.80 (a_1811 = store(a_1810, i16, e16)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3677, 3676])).
% 0.60/0.80 tff(3679,plain,
% 0.60/0.80 (store(a_1810, i16, e16) = a_1811),
% 0.60/0.80 inference(symmetry,[status(thm)],[3678])).
% 0.60/0.80 tff(3680,plain,
% 0.60/0.80 (store(store(a_1810, i16, e16), i8, e8) = store(a_1811, i8, e8)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3679])).
% 0.60/0.80 tff(3681,plain,
% 0.60/0.80 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3680])).
% 0.60/0.80 tff(3682,plain,
% 0.60/0.80 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3683,plain,
% 0.60/0.80 ((i8 = i45) <=> (i8 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3682])).
% 0.60/0.80 tff(3684,plain,
% 0.60/0.80 ((~(i8 = i45)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3683])).
% 0.60/0.80 tff(3685,plain,
% 0.60/0.80 ((~(i8 = i45)) <=> (~(i8 = i45))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3686,axiom,(~(i8 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp969')).
% 0.60/0.80 tff(3687,plain,
% 0.60/0.80 (~(i8 = i45)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 0.60/0.80 tff(3688,plain,
% 0.60/0.80 (~(i8 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3687, 3684])).
% 0.60/0.80 tff(3689,plain,
% 0.60/0.80 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1800, a_1850)) | (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3690,plain,
% 0.60/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))))),
% 0.60/0.80 inference(quant_inst,[status(thm)],[])).
% 0.60/0.80 tff(3691,plain,
% 0.60/0.80 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = sk(a_1800, a_1850)) | (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 0.60/0.80 tff(3692,plain,
% 0.60/0.80 ((i8 = sk(a_1800, a_1850)) | (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850)))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[3691, 17])).
% 0.60/0.80 tff(3693,plain,
% 0.60/0.80 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[3692, 3688])).
% 0.60/0.80 tff(3694,plain,
% 0.60/0.80 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3693])).
% 0.60/0.80 tff(3695,plain,
% 0.60/0.80 ((a_1810 = store(a_1809, i40, e40)) <=> (a_1810 = store(a_1809, i40, e40))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(3696,axiom,(a_1810 = store(a_1809, i40, e40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp59')).
% 0.60/0.80 tff(3697,plain,
% 0.60/0.80 (a_1810 = store(a_1809, i40, e40)),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[3696, 3695])).
% 0.60/0.80 tff(3698,plain,
% 0.60/0.80 (store(a_1809, i40, e40) = a_1810),
% 0.60/0.80 inference(symmetry,[status(thm)],[3697])).
% 0.60/0.80 tff(3699,plain,
% 0.60/0.80 (store(store(a_1809, i40, e40), i16, e16) = store(a_1810, i16, e16)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3698])).
% 0.60/0.80 tff(3700,plain,
% 0.60/0.80 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3699])).
% 0.60/0.80 tff(3701,plain,
% 0.60/0.80 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i45)),
% 0.60/0.80 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.80 tff(3702,plain,
% 0.60/0.80 ((i16 = i45) <=> (i16 = sk(a_1800, a_1850))),
% 0.60/0.80 inference(symmetry,[status(thm)],[3701])).
% 0.60/0.81 tff(3703,plain,
% 0.60/0.81 ((~(i16 = i45)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3702])).
% 0.60/0.81 tff(3704,plain,
% 0.60/0.81 ((~(i16 = i45)) <=> (~(i16 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3705,axiom,(~(i16 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp669')).
% 0.60/0.81 tff(3706,plain,
% 0.60/0.81 (~(i16 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3705, 3704])).
% 0.60/0.81 tff(3707,plain,
% 0.60/0.81 (~(i16 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3706, 3703])).
% 0.60/0.81 tff(3708,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1800, a_1850)) | (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3709,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3710,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i16 = sk(a_1800, a_1850)) | (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 0.60/0.81 tff(3711,plain,
% 0.60/0.81 ((i16 = sk(a_1800, a_1850)) | (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3710, 17])).
% 0.60/0.81 tff(3712,plain,
% 0.60/0.81 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3711, 3707])).
% 0.60/0.81 tff(3713,plain,
% 0.60/0.81 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3712])).
% 0.60/0.81 tff(3714,plain,
% 0.60/0.81 ((a_1809 = store(a_1808, i20, e20)) <=> (a_1809 = store(a_1808, i20, e20))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3715,axiom,(a_1809 = store(a_1808, i20, e20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp58')).
% 0.60/0.81 tff(3716,plain,
% 0.60/0.81 (a_1809 = store(a_1808, i20, e20)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3715, 3714])).
% 0.60/0.81 tff(3717,plain,
% 0.60/0.81 (store(a_1808, i20, e20) = a_1809),
% 0.60/0.81 inference(symmetry,[status(thm)],[3716])).
% 0.60/0.81 tff(3718,plain,
% 0.60/0.81 (store(store(a_1808, i20, e20), i40, e40) = store(a_1809, i40, e40)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3717])).
% 0.60/0.81 tff(3719,plain,
% 0.60/0.81 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3718])).
% 0.60/0.81 tff(3720,plain,
% 0.60/0.81 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3721,plain,
% 0.60/0.81 ((i40 = i45) <=> (i40 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3720])).
% 0.60/0.81 tff(3722,plain,
% 0.60/0.81 ((~(i40 = i45)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3721])).
% 0.60/0.81 tff(3723,plain,
% 0.60/0.81 ((~(i40 = i45)) <=> (~(i40 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3724,axiom,(~(i40 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp153')).
% 0.60/0.81 tff(3725,plain,
% 0.60/0.81 (~(i40 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 0.60/0.81 tff(3726,plain,
% 0.60/0.81 (~(i40 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3725, 3722])).
% 0.60/0.81 tff(3727,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1800, a_1850)) | (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3728,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3729,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i40 = sk(a_1800, a_1850)) | (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 0.60/0.81 tff(3730,plain,
% 0.60/0.81 ((i40 = sk(a_1800, a_1850)) | (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3729, 17])).
% 0.60/0.81 tff(3731,plain,
% 0.60/0.81 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3730, 3726])).
% 0.60/0.81 tff(3732,plain,
% 0.60/0.81 (select(store(a_1808, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3731])).
% 0.60/0.81 tff(3733,plain,
% 0.60/0.81 ((a_1808 = store(a_1807, i39, e39)) <=> (a_1808 = store(a_1807, i39, e39))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3734,axiom,(a_1808 = store(a_1807, i39, e39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp57')).
% 0.60/0.81 tff(3735,plain,
% 0.60/0.81 (a_1808 = store(a_1807, i39, e39)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 0.60/0.81 tff(3736,plain,
% 0.60/0.81 (store(a_1807, i39, e39) = a_1808),
% 0.60/0.81 inference(symmetry,[status(thm)],[3735])).
% 0.60/0.81 tff(3737,plain,
% 0.60/0.81 (store(store(a_1807, i39, e39), i20, e20) = store(a_1808, i20, e20)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3736])).
% 0.60/0.81 tff(3738,plain,
% 0.60/0.81 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3737])).
% 0.60/0.81 tff(3739,plain,
% 0.60/0.81 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3740,plain,
% 0.60/0.81 ((i20 = i45) <=> (i20 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3739])).
% 0.60/0.81 tff(3741,plain,
% 0.60/0.81 ((~(i20 = i45)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3740])).
% 0.60/0.81 tff(3742,plain,
% 0.60/0.81 ((~(i20 = i45)) <=> (~(i20 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3743,axiom,(~(i20 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp543')).
% 0.60/0.81 tff(3744,plain,
% 0.60/0.81 (~(i20 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 0.60/0.81 tff(3745,plain,
% 0.60/0.81 (~(i20 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3744, 3741])).
% 0.60/0.81 tff(3746,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1800, a_1850)) | (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3747,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3748,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i20 = sk(a_1800, a_1850)) | (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3747, 3746])).
% 0.60/0.81 tff(3749,plain,
% 0.60/0.81 ((i20 = sk(a_1800, a_1850)) | (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3748, 17])).
% 0.60/0.81 tff(3750,plain,
% 0.60/0.81 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3749, 3745])).
% 0.60/0.81 tff(3751,plain,
% 0.60/0.81 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3750])).
% 0.60/0.81 tff(3752,plain,
% 0.60/0.81 ((a_1807 = store(a_1806, i22, e22)) <=> (a_1807 = store(a_1806, i22, e22))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3753,axiom,(a_1807 = store(a_1806, i22, e22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp56')).
% 0.60/0.81 tff(3754,plain,
% 0.60/0.81 (a_1807 = store(a_1806, i22, e22)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3753, 3752])).
% 0.60/0.81 tff(3755,plain,
% 0.60/0.81 (store(a_1806, i22, e22) = a_1807),
% 0.60/0.81 inference(symmetry,[status(thm)],[3754])).
% 0.60/0.81 tff(3756,plain,
% 0.60/0.81 (store(store(a_1806, i22, e22), i39, e39) = store(a_1807, i39, e39)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3755])).
% 0.60/0.81 tff(3757,plain,
% 0.60/0.81 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3756])).
% 0.60/0.81 tff(3758,plain,
% 0.60/0.81 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3759,plain,
% 0.60/0.81 ((i39 = i45) <=> (i39 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3758])).
% 0.60/0.81 tff(3760,plain,
% 0.60/0.81 ((~(i39 = i45)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3759])).
% 0.60/0.81 tff(3761,plain,
% 0.60/0.81 ((~(i39 = i45)) <=> (~(i39 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3762,axiom,(~(i39 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp163')).
% 0.60/0.81 tff(3763,plain,
% 0.60/0.81 (~(i39 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 0.60/0.81 tff(3764,plain,
% 0.60/0.81 (~(i39 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3763, 3760])).
% 0.60/0.81 tff(3765,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1800, a_1850)) | (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3766,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3767,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i39 = sk(a_1800, a_1850)) | (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 0.60/0.81 tff(3768,plain,
% 0.60/0.81 ((i39 = sk(a_1800, a_1850)) | (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3767, 17])).
% 0.60/0.81 tff(3769,plain,
% 0.60/0.81 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3768, 3764])).
% 0.60/0.81 tff(3770,plain,
% 0.60/0.81 (select(store(a_1806, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3769])).
% 0.60/0.81 tff(3771,plain,
% 0.60/0.81 ((a_1806 = store(a_1805, i19, e19)) <=> (a_1806 = store(a_1805, i19, e19))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3772,axiom,(a_1806 = store(a_1805, i19, e19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp55')).
% 0.60/0.81 tff(3773,plain,
% 0.60/0.81 (a_1806 = store(a_1805, i19, e19)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3772, 3771])).
% 0.60/0.81 tff(3774,plain,
% 0.60/0.81 (store(a_1805, i19, e19) = a_1806),
% 0.60/0.81 inference(symmetry,[status(thm)],[3773])).
% 0.60/0.81 tff(3775,plain,
% 0.60/0.81 (store(store(a_1805, i19, e19), i22, e22) = store(a_1806, i22, e22)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3774])).
% 0.60/0.81 tff(3776,plain,
% 0.60/0.81 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3775])).
% 0.60/0.81 tff(3777,plain,
% 0.60/0.81 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3778,plain,
% 0.60/0.81 ((i22 = i45) <=> (i22 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3777])).
% 0.60/0.81 tff(3779,plain,
% 0.60/0.81 ((~(i22 = i45)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3778])).
% 0.60/0.81 tff(3780,plain,
% 0.60/0.81 ((~(i22 = i45)) <=> (~(i22 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3781,axiom,(~(i22 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp486')).
% 0.60/0.81 tff(3782,plain,
% 0.60/0.81 (~(i22 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 0.60/0.81 tff(3783,plain,
% 0.60/0.81 (~(i22 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3782, 3779])).
% 0.60/0.81 tff(3784,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1800, a_1850)) | (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3785,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3786,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i22 = sk(a_1800, a_1850)) | (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 0.60/0.81 tff(3787,plain,
% 0.60/0.81 ((i22 = sk(a_1800, a_1850)) | (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3786, 17])).
% 0.60/0.81 tff(3788,plain,
% 0.60/0.81 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3787, 3783])).
% 0.60/0.81 tff(3789,plain,
% 0.60/0.81 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3788])).
% 0.60/0.81 tff(3790,plain,
% 0.60/0.81 ((a_1805 = store(a_1804, i28, e28)) <=> (a_1805 = store(a_1804, i28, e28))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3791,axiom,(a_1805 = store(a_1804, i28, e28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp54')).
% 0.60/0.81 tff(3792,plain,
% 0.60/0.81 (a_1805 = store(a_1804, i28, e28)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 0.60/0.81 tff(3793,plain,
% 0.60/0.81 (store(a_1804, i28, e28) = a_1805),
% 0.60/0.81 inference(symmetry,[status(thm)],[3792])).
% 0.60/0.81 tff(3794,plain,
% 0.60/0.81 (store(store(a_1804, i28, e28), i19, e19) = store(a_1805, i19, e19)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3793])).
% 0.60/0.81 tff(3795,plain,
% 0.60/0.81 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3794])).
% 0.60/0.81 tff(3796,plain,
% 0.60/0.81 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3797,plain,
% 0.60/0.81 ((i19 = i45) <=> (i19 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3796])).
% 0.60/0.81 tff(3798,plain,
% 0.60/0.81 ((~(i19 = i45)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3797])).
% 0.60/0.81 tff(3799,plain,
% 0.60/0.81 ((~(i19 = i45)) <=> (~(i19 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3800,axiom,(~(i19 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp573')).
% 0.60/0.81 tff(3801,plain,
% 0.60/0.81 (~(i19 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 0.60/0.81 tff(3802,plain,
% 0.60/0.81 (~(i19 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3801, 3798])).
% 0.60/0.81 tff(3803,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1800, a_1850)) | (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3804,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3805,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i19 = sk(a_1800, a_1850)) | (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3804, 3803])).
% 0.60/0.81 tff(3806,plain,
% 0.60/0.81 ((i19 = sk(a_1800, a_1850)) | (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3805, 17])).
% 0.60/0.81 tff(3807,plain,
% 0.60/0.81 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3806, 3802])).
% 0.60/0.81 tff(3808,plain,
% 0.60/0.81 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3807])).
% 0.60/0.81 tff(3809,plain,
% 0.60/0.81 ((a_1804 = store(a_1803, i43, e43)) <=> (a_1804 = store(a_1803, i43, e43))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3810,axiom,(a_1804 = store(a_1803, i43, e43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp53')).
% 0.60/0.81 tff(3811,plain,
% 0.60/0.81 (a_1804 = store(a_1803, i43, e43)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 0.60/0.81 tff(3812,plain,
% 0.60/0.81 (store(a_1803, i43, e43) = a_1804),
% 0.60/0.81 inference(symmetry,[status(thm)],[3811])).
% 0.60/0.81 tff(3813,plain,
% 0.60/0.81 (store(store(a_1803, i43, e43), i28, e28) = store(a_1804, i28, e28)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3812])).
% 0.60/0.81 tff(3814,plain,
% 0.60/0.81 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3813])).
% 0.60/0.81 tff(3815,plain,
% 0.60/0.81 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i45)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3392])).
% 0.60/0.81 tff(3816,plain,
% 0.60/0.81 ((i28 = i45) <=> (i28 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3815])).
% 0.60/0.81 tff(3817,plain,
% 0.60/0.81 ((~(i28 = i45)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3816])).
% 0.60/0.81 tff(3818,plain,
% 0.60/0.81 ((~(i28 = i45)) <=> (~(i28 = i45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3819,axiom,(~(i28 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp339')).
% 0.60/0.81 tff(3820,plain,
% 0.60/0.81 (~(i28 = i45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3819, 3818])).
% 0.60/0.81 tff(3821,plain,
% 0.60/0.81 (~(i28 = sk(a_1800, a_1850))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3820, 3817])).
% 0.60/0.81 tff(3822,plain,
% 0.60/0.81 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1800, a_1850)) | (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3823,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))))),
% 0.60/0.81 inference(quant_inst,[status(thm)],[])).
% 0.60/0.81 tff(3824,plain,
% 0.60/0.81 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i28 = sk(a_1800, a_1850)) | (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 0.60/0.81 tff(3825,plain,
% 0.60/0.81 ((i28 = sk(a_1800, a_1850)) | (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850)))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3824, 17])).
% 0.60/0.81 tff(3826,plain,
% 0.60/0.81 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.60/0.81 inference(unit_resolution,[status(thm)],[3825, 3821])).
% 0.60/0.81 tff(3827,plain,
% 0.60/0.81 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850))),
% 0.60/0.81 inference(symmetry,[status(thm)],[3826])).
% 0.60/0.81 tff(3828,plain,
% 0.60/0.81 ((a_1803 = store(a_1802, i45, e45)) <=> (a_1803 = store(a_1802, i45, e45))),
% 0.60/0.81 inference(rewrite,[status(thm)],[])).
% 0.60/0.81 tff(3829,axiom,(a_1803 = store(a_1802, i45, e45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp52')).
% 0.60/0.81 tff(3830,plain,
% 0.60/0.81 (a_1803 = store(a_1802, i45, e45)),
% 0.60/0.81 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 0.60/0.81 tff(3831,plain,
% 0.60/0.81 (store(a_1802, i45, e45) = a_1803),
% 0.60/0.81 inference(symmetry,[status(thm)],[3830])).
% 0.60/0.81 tff(3832,plain,
% 0.60/0.81 (store(store(a_1802, i45, e45), i43, e43) = store(a_1803, i43, e43)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3831])).
% 0.60/0.81 tff(3833,plain,
% 0.60/0.81 (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3832])).
% 0.60/0.81 tff(3834,plain,
% 0.60/0.81 (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.81 inference(transitivity,[status(thm)],[3833, 3827, 3814, 3808, 3795, 3789, 3776, 3770, 3757, 3751, 3738, 3732, 3719, 3713, 3700, 3694, 3681, 3675, 3670, 3669, 1698, 3660, 1679, 3651, 1660, 3642, 1641, 3633, 1622, 3624, 1603, 3615, 1584, 3606, 1565, 3597, 1546, 3588, 1527, 3579, 1508, 3577, 1489, 3568, 1470, 3559, 1451, 3550, 1432, 3541, 1413, 3532, 1394, 3523, 1375, 3514, 1356, 3505, 1337, 3496, 1318, 3494, 1299, 1293, 1288, 3485, 1269, 3476, 1250, 2675, 1231, 3467, 1212, 3458, 1193, 3449, 1174, 3443, 1155, 3434, 1136, 3425, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.60/0.81 tff(3835,plain,
% 0.60/0.81 ((select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.60/0.81 inference(monotonicity,[status(thm)],[3834, 3417])).
% 0.60/0.82 tff(3836,plain,
% 0.60/0.82 ((select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.60/0.82 inference(transitivity,[status(thm)],[3835, 1])).
% 0.60/0.82 tff(3837,plain,
% 0.60/0.82 ((e_1852 = e_1853) <=> (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3836])).
% 0.60/0.82 tff(3838,plain,
% 0.60/0.82 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3837])).
% 0.60/0.82 tff(3839,plain,
% 0.60/0.82 (~(select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[999, 3838])).
% 0.60/0.82 tff(3840,plain,
% 0.60/0.82 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i43 = sk(a_1800, a_1850)) | (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3841,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))))),
% 0.60/0.82 inference(quant_inst,[status(thm)],[])).
% 0.60/0.82 tff(3842,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i43 = sk(a_1800, a_1850)) | (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3841, 3840])).
% 0.60/0.82 tff(3843,plain,
% 0.60/0.82 ((i43 = sk(a_1800, a_1850)) | (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3842, 17])).
% 0.60/0.82 tff(3844,plain,
% 0.60/0.82 ($false),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3843, 3839, 3399])).
% 0.60/0.82 tff(3845,plain,((~(i45 = sk(a_1800, a_1850))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i46 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.82 tff(3846,plain,
% 0.60/0.82 (~(i45 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3845, 3386, 2578, 2904, 2929, 11])).
% 0.60/0.82 tff(3847,plain,
% 0.60/0.82 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[897, 17, 3846])).
% 0.60/0.82 tff(3848,plain,
% 0.60/0.82 (~(i32 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[2483, 3386, 2578, 2904, 3847, 2930, 2922, 2910, 22])).
% 0.60/0.82 tff(3849,plain,
% 0.60/0.82 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1128, 3848])).
% 0.60/0.82 tff(3850,plain,
% 0.60/0.82 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3849])).
% 0.60/0.82 tff(3851,plain,
% 0.60/0.82 (store(a_1843, i5, e5) = store(store(a_1842, i12, e12), i5, e5)),
% 0.60/0.82 inference(symmetry,[status(thm)],[1135])).
% 0.60/0.82 tff(3852,plain,
% 0.60/0.82 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3851])).
% 0.60/0.82 tff(3853,plain,
% 0.60/0.82 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3852])).
% 0.60/0.82 tff(3854,assumption,(~(i35 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.82 tff(3855,assumption,(~(i3 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.82 tff(3856,plain,
% 0.60/0.82 (~(i46 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[2897, 1774, 1035, 11])).
% 0.60/0.82 tff(3857,plain,
% 0.60/0.82 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1829, 3856])).
% 0.60/0.82 tff(3858,plain,
% 0.60/0.82 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3857])).
% 0.60/0.82 tff(3859,plain,
% 0.60/0.82 (~(i45 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3845, 1775, 1774, 1035, 3856, 11])).
% 0.60/0.82 tff(3860,plain,
% 0.60/0.82 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[897, 17, 3859])).
% 0.60/0.82 tff(3861,plain,
% 0.60/0.82 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3860])).
% 0.60/0.82 tff(3862,assumption,(i44 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.82 tff(3863,plain,
% 0.60/0.82 (select(store(store(a_1792, i43, e43), i44, e44), i44) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3864,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1792, i43, e43), i44, e44), i44) = e44)),
% 0.60/0.82 inference(quant_inst,[status(thm)],[])).
% 0.60/0.82 tff(3865,plain,
% 0.60/0.82 (select(store(store(a_1792, i43, e43), i44, e44), i44) = e44),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3864, 47])).
% 0.60/0.82 tff(3866,plain,
% 0.60/0.82 (e44 = select(store(store(a_1792, i43, e43), i44, e44), i44)),
% 0.60/0.82 inference(symmetry,[status(thm)],[3865])).
% 0.60/0.82 tff(3867,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1828, i36, e36), i44, e44), i44) = e44)),
% 0.60/0.82 inference(quant_inst,[status(thm)],[])).
% 0.60/0.82 tff(3868,plain,
% 0.60/0.82 (select(store(store(a_1828, i36, e36), i44, e44), i44) = e44),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3867, 47])).
% 0.60/0.82 tff(3869,plain,
% 0.60/0.82 (sk(a_1800, a_1850) = i44),
% 0.60/0.82 inference(symmetry,[status(thm)],[3862])).
% 0.60/0.82 tff(3870,plain,
% 0.60/0.82 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), i44)),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3869])).
% 0.60/0.82 tff(3871,plain,
% 0.60/0.82 (store(a_1829, i44, e44) = store(store(a_1828, i36, e36), i44, e44)),
% 0.60/0.82 inference(symmetry,[status(thm)],[1393])).
% 0.60/0.82 tff(3872,plain,
% 0.60/0.82 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3871])).
% 0.60/0.82 tff(3873,plain,
% 0.60/0.82 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.82 inference(transitivity,[status(thm)],[3872, 3870, 3868, 3866, 3863, 885, 3861, 904, 3858, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.60/0.82 tff(3874,plain,
% 0.60/0.82 (~(i32 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[2483, 1775, 1774, 1035, 3860, 3857, 2795, 2589, 22])).
% 0.60/0.82 tff(3875,plain,
% 0.60/0.82 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1128, 3874])).
% 0.60/0.82 tff(3876,plain,
% 0.60/0.82 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3875])).
% 0.60/0.82 tff(3877,plain,
% 0.60/0.82 ((i5 = i44) <=> (i5 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3878,plain,
% 0.60/0.82 ((~(i5 = i44)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3877])).
% 0.60/0.82 tff(3879,plain,
% 0.60/0.82 ((~(i5 = i44)) <=> (~(i5 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3880,axiom,(~(i5 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1099')).
% 0.60/0.82 tff(3881,plain,
% 0.60/0.82 (~(i5 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3880, 3879])).
% 0.60/0.82 tff(3882,plain,
% 0.60/0.82 (~(i5 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3881, 3878])).
% 0.60/0.82 tff(3883,plain,
% 0.60/0.82 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1147, 3882])).
% 0.60/0.82 tff(3884,plain,
% 0.60/0.82 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3883])).
% 0.60/0.82 tff(3885,plain,
% 0.60/0.82 ((i12 = i44) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3886,plain,
% 0.60/0.82 ((~(i12 = i44)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3885])).
% 0.60/0.82 tff(3887,plain,
% 0.60/0.82 ((~(i12 = i44)) <=> (~(i12 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3888,axiom,(~(i12 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp812')).
% 0.60/0.82 tff(3889,plain,
% 0.60/0.82 (~(i12 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 0.60/0.82 tff(3890,plain,
% 0.60/0.82 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3889, 3886])).
% 0.60/0.82 tff(3891,plain,
% 0.60/0.82 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1165, 17, 3890])).
% 0.60/0.82 tff(3892,plain,
% 0.60/0.82 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3891])).
% 0.60/0.82 tff(3893,plain,
% 0.60/0.82 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1184, 17, 2900])).
% 0.60/0.82 tff(3894,plain,
% 0.60/0.82 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3893])).
% 0.60/0.82 tff(3895,plain,
% 0.60/0.82 ((i3 = i44) <=> (i3 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3896,plain,
% 0.60/0.82 ((~(i3 = i44)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3895])).
% 0.60/0.82 tff(3897,plain,
% 0.60/0.82 ((~(i3 = i44)) <=> (~(i3 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3898,axiom,(~(i3 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1190')).
% 0.60/0.82 tff(3899,plain,
% 0.60/0.82 (~(i3 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 0.60/0.82 tff(3900,plain,
% 0.60/0.82 (~(i3 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3899, 3896])).
% 0.60/0.82 tff(3901,plain,
% 0.60/0.82 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1203, 17, 3900])).
% 0.60/0.82 tff(3902,plain,
% 0.60/0.82 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3901])).
% 0.60/0.82 tff(3903,plain,
% 0.60/0.82 ((i29 = i44) <=> (i29 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3904,plain,
% 0.60/0.82 ((~(i29 = i44)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3903])).
% 0.60/0.82 tff(3905,plain,
% 0.60/0.82 ((~(i29 = i44)) <=> (~(i29 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3906,axiom,(~(i29 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp319')).
% 0.60/0.82 tff(3907,plain,
% 0.60/0.82 (~(i29 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3906, 3905])).
% 0.60/0.82 tff(3908,plain,
% 0.60/0.82 (~(i29 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3907, 3904])).
% 0.60/0.82 tff(3909,plain,
% 0.60/0.82 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1222, 17, 3908])).
% 0.60/0.82 tff(3910,plain,
% 0.60/0.82 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3909])).
% 0.60/0.82 tff(3911,plain,
% 0.60/0.82 ((i10 = i44) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3912,plain,
% 0.60/0.82 ((~(i10 = i44)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3911])).
% 0.60/0.82 tff(3913,plain,
% 0.60/0.82 ((~(i10 = i44)) <=> (~(i10 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3914,axiom,(~(i10 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp889')).
% 0.60/0.82 tff(3915,plain,
% 0.60/0.82 (~(i10 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 0.60/0.82 tff(3916,plain,
% 0.60/0.82 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3915, 3912])).
% 0.60/0.82 tff(3917,plain,
% 0.60/0.82 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1260, 17, 3916])).
% 0.60/0.82 tff(3918,plain,
% 0.60/0.82 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3917])).
% 0.60/0.82 tff(3919,plain,
% 0.60/0.82 ((i2 = i44) <=> (i2 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3920,plain,
% 0.60/0.82 ((~(i2 = i44)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3919])).
% 0.60/0.82 tff(3921,plain,
% 0.60/0.82 ((~(i2 = i44)) <=> (~(i2 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3922,axiom,(~(i2 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1237')).
% 0.60/0.82 tff(3923,plain,
% 0.60/0.82 (~(i2 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3922, 3921])).
% 0.60/0.82 tff(3924,plain,
% 0.60/0.82 (~(i2 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3923, 3920])).
% 0.60/0.82 tff(3925,plain,
% 0.60/0.82 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1279, 17, 3924])).
% 0.60/0.82 tff(3926,plain,
% 0.60/0.82 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3925])).
% 0.60/0.82 tff(3927,plain,
% 0.60/0.82 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1309, 17, 3854])).
% 0.60/0.82 tff(3928,plain,
% 0.60/0.82 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3927])).
% 0.60/0.82 tff(3929,plain,
% 0.60/0.82 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1328, 17, 3856])).
% 0.60/0.82 tff(3930,plain,
% 0.60/0.82 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3929])).
% 0.60/0.82 tff(3931,plain,
% 0.60/0.82 ((i25 = i44) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3932,plain,
% 0.60/0.82 ((~(i25 = i44)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3931])).
% 0.60/0.82 tff(3933,plain,
% 0.60/0.82 ((~(i25 = i44)) <=> (~(i25 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3934,axiom,(~(i25 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp409')).
% 0.60/0.82 tff(3935,plain,
% 0.60/0.82 (~(i25 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 0.60/0.82 tff(3936,plain,
% 0.60/0.82 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3935, 3932])).
% 0.60/0.82 tff(3937,plain,
% 0.60/0.82 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1347, 17, 3936])).
% 0.60/0.82 tff(3938,plain,
% 0.60/0.82 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3937])).
% 0.60/0.82 tff(3939,plain,
% 0.60/0.82 ((i23 = i44) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3940,plain,
% 0.60/0.82 ((~(i23 = i44)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3939])).
% 0.60/0.82 tff(3941,plain,
% 0.60/0.82 ((~(i23 = i44)) <=> (~(i23 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3942,axiom,(~(i23 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp460')).
% 0.60/0.82 tff(3943,plain,
% 0.60/0.82 (~(i23 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 0.60/0.82 tff(3944,plain,
% 0.60/0.82 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3943, 3940])).
% 0.60/0.82 tff(3945,plain,
% 0.60/0.82 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1366, 17, 3944])).
% 0.60/0.82 tff(3946,plain,
% 0.60/0.82 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3945])).
% 0.60/0.82 tff(3947,plain,
% 0.60/0.82 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.82 inference(transitivity,[status(thm)],[1375, 3946, 1356, 3938, 1337, 3930, 1318, 3928, 1299, 1293, 1288, 3926, 1269, 3918, 1250, 2675, 1231, 3910, 1212, 3902, 1193, 3894, 1174, 3892, 1155, 3884, 1136, 3876, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.60/0.82 tff(3948,plain,
% 0.60/0.82 ((select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3947, 3873])).
% 0.60/0.82 tff(3949,plain,
% 0.60/0.82 ((select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.60/0.82 inference(transitivity,[status(thm)],[3948, 1])).
% 0.60/0.82 tff(3950,plain,
% 0.60/0.82 ((e_1852 = e_1853) <=> (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3949])).
% 0.60/0.82 tff(3951,plain,
% 0.60/0.82 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3950])).
% 0.60/0.82 tff(3952,plain,
% 0.60/0.82 (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[999, 3951])).
% 0.60/0.82 tff(3953,plain,
% 0.60/0.82 ((i38 = i44) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3862])).
% 0.60/0.82 tff(3954,plain,
% 0.60/0.82 ((~(i38 = i44)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3953])).
% 0.60/0.82 tff(3955,plain,
% 0.60/0.82 ((~(i38 = i44)) <=> (~(i38 = i44))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3956,axiom,(~(i38 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp175')).
% 0.60/0.82 tff(3957,plain,
% 0.60/0.82 (~(i38 = i44)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3956, 3955])).
% 0.60/0.82 tff(3958,plain,
% 0.60/0.82 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3957, 3954])).
% 0.60/0.82 tff(3959,plain,
% 0.60/0.82 ($false),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1385, 17, 3958, 3952])).
% 0.60/0.82 tff(3960,plain,((~(i44 = sk(a_1800, a_1850))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.82 tff(3961,plain,
% 0.60/0.82 (~(i44 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3960, 2900, 2578, 2904, 3854, 11, 3386])).
% 0.60/0.82 tff(3962,plain,
% 0.60/0.82 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1772, 3961])).
% 0.60/0.82 tff(3963,plain,
% 0.60/0.82 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[2485])).
% 0.60/0.82 tff(3964,assumption,(i29 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.82 tff(3965,plain,
% 0.60/0.82 ((i5 = i29) <=> (i5 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.82 tff(3966,plain,
% 0.60/0.82 ((~(i5 = i29)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3965])).
% 0.60/0.82 tff(3967,plain,
% 0.60/0.82 ((~(i5 = i29)) <=> (~(i5 = i29))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3968,axiom,(~(i5 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1114')).
% 0.60/0.82 tff(3969,plain,
% 0.60/0.82 (~(i5 = i29)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 0.60/0.82 tff(3970,plain,
% 0.60/0.82 (~(i5 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3969, 3966])).
% 0.60/0.82 tff(3971,plain,
% 0.60/0.82 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1147, 3970])).
% 0.60/0.82 tff(3972,plain,
% 0.60/0.82 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3971])).
% 0.60/0.82 tff(3973,plain,
% 0.60/0.82 ((i12 = i29) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.82 tff(3974,plain,
% 0.60/0.82 ((~(i12 = i29)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[3973])).
% 0.60/0.82 tff(3975,plain,
% 0.60/0.82 ((~(i12 = i29)) <=> (~(i12 = i29))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(3976,axiom,(~(i12 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp827')).
% 0.60/0.82 tff(3977,plain,
% 0.60/0.82 (~(i12 = i29)),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 0.60/0.82 tff(3978,plain,
% 0.60/0.82 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[3977, 3974])).
% 0.60/0.82 tff(3979,plain,
% 0.60/0.82 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1165, 17, 3978])).
% 0.60/0.82 tff(3980,plain,
% 0.60/0.82 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3979])).
% 0.60/0.82 tff(3981,plain,
% 0.60/0.82 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[1203, 17, 3855])).
% 0.60/0.82 tff(3982,plain,
% 0.60/0.82 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.60/0.82 inference(symmetry,[status(thm)],[3981])).
% 0.60/0.82 tff(3983,plain,
% 0.60/0.82 (select(store(store(a_1838, i48, e48), i29, e29), i29) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.82 inference(monotonicity,[status(thm)],[1211, 3964])).
% 0.60/0.82 tff(3984,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1838, i48, e48), i29, e29), i29) = e29)),
% 0.60/0.82 inference(quant_inst,[status(thm)],[])).
% 0.60/0.82 tff(3985,plain,
% 0.60/0.82 (select(store(store(a_1838, i48, e48), i29, e29), i29) = e29),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3984, 47])).
% 0.60/0.82 tff(3986,plain,
% 0.60/0.82 (e29 = select(store(store(a_1838, i48, e48), i29, e29), i29)),
% 0.60/0.82 inference(symmetry,[status(thm)],[3985])).
% 0.60/0.82 tff(3987,plain,
% 0.60/0.82 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1777, i28, e28), i29, e29), i29) = e29)),
% 0.60/0.82 inference(quant_inst,[status(thm)],[])).
% 0.60/0.82 tff(3988,plain,
% 0.60/0.82 (select(store(store(a_1777, i28, e28), i29, e29), i29) = e29),
% 0.60/0.82 inference(unit_resolution,[status(thm)],[3987, 47])).
% 0.60/0.82 tff(3989,plain,
% 0.60/0.82 (sk(a_1800, a_1850) = i29),
% 0.60/0.82 inference(symmetry,[status(thm)],[3964])).
% 0.60/0.82 tff(3990,plain,
% 0.60/0.82 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), i29)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3989])).
% 0.60/0.83 tff(3991,plain,
% 0.60/0.83 (store(a_1778, i29, e29) = store(store(a_1777, i28, e28), i29, e29)),
% 0.60/0.83 inference(symmetry,[status(thm)],[591])).
% 0.60/0.83 tff(3992,plain,
% 0.60/0.83 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3991])).
% 0.60/0.83 tff(3993,plain,
% 0.60/0.83 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.83 inference(transitivity,[status(thm)],[3992, 3990, 3988, 3986, 3983, 3982, 1193, 3894, 1174, 3980, 1155, 3972, 1136, 3963, 1117, 2356, 1098, 2355, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.60/0.83 tff(3994,plain,
% 0.60/0.83 ((i29 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(3995,plain,
% 0.60/0.83 ((i29 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[3994, 849])).
% 0.60/0.83 tff(3996,plain,
% 0.60/0.83 ((~(i29 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3995])).
% 0.60/0.83 tff(3997,plain,
% 0.60/0.83 ((~(i29 = i43)) <=> (~(i29 = i43))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(3998,axiom,(~(i29 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp320')).
% 0.60/0.83 tff(3999,plain,
% 0.60/0.83 (~(i29 = i43)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 0.60/0.83 tff(4000,plain,
% 0.60/0.83 (~(i43 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[3999, 3996])).
% 0.60/0.83 tff(4001,plain,
% 0.60/0.83 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[1864, 4000])).
% 0.60/0.83 tff(4002,plain,
% 0.60/0.83 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4001])).
% 0.60/0.83 tff(4003,plain,
% 0.60/0.83 ((i29 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4004,plain,
% 0.60/0.83 ((i29 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4003, 830])).
% 0.60/0.83 tff(4005,plain,
% 0.60/0.83 ((~(i29 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4004])).
% 0.60/0.83 tff(4006,plain,
% 0.60/0.83 ((~(i29 = i42)) <=> (~(i29 = i42))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4007,axiom,(~(i29 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp321')).
% 0.60/0.83 tff(4008,plain,
% 0.60/0.83 (~(i29 = i42)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 0.60/0.83 tff(4009,plain,
% 0.60/0.83 (~(i42 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4008, 4005])).
% 0.60/0.83 tff(4010,plain,
% 0.60/0.83 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[840, 17, 4009])).
% 0.60/0.83 tff(4011,plain,
% 0.60/0.83 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4010])).
% 0.60/0.83 tff(4012,plain,
% 0.60/0.83 ((i29 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4013,plain,
% 0.60/0.83 ((i29 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4012, 811])).
% 0.60/0.83 tff(4014,plain,
% 0.60/0.83 ((~(i29 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4013])).
% 0.60/0.83 tff(4015,plain,
% 0.60/0.83 ((~(i29 = i41)) <=> (~(i29 = i41))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4016,axiom,(~(i29 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp322')).
% 0.60/0.83 tff(4017,plain,
% 0.60/0.83 (~(i29 = i41)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 0.60/0.83 tff(4018,plain,
% 0.60/0.83 (~(i41 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4017, 4014])).
% 0.60/0.83 tff(4019,plain,
% 0.60/0.83 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[821, 17, 4018])).
% 0.60/0.83 tff(4020,plain,
% 0.60/0.83 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4019])).
% 0.60/0.83 tff(4021,plain,
% 0.60/0.83 ((i29 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4022,plain,
% 0.60/0.83 ((i29 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4021, 788])).
% 0.60/0.83 tff(4023,plain,
% 0.60/0.83 ((~(i29 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4022])).
% 0.60/0.83 tff(4024,plain,
% 0.60/0.83 ((~(i29 = i40)) <=> (~(i29 = i40))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4025,axiom,(~(i29 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp323')).
% 0.60/0.83 tff(4026,plain,
% 0.60/0.83 (~(i29 = i40)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4025, 4024])).
% 0.60/0.83 tff(4027,plain,
% 0.60/0.83 (~(i40 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4026, 4023])).
% 0.60/0.83 tff(4028,plain,
% 0.60/0.83 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[800, 17, 4027])).
% 0.60/0.83 tff(4029,plain,
% 0.60/0.83 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4028])).
% 0.60/0.83 tff(4030,plain,
% 0.60/0.83 ((i29 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4031,plain,
% 0.60/0.83 ((i29 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4030, 769])).
% 0.60/0.83 tff(4032,plain,
% 0.60/0.83 ((~(i29 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4031])).
% 0.60/0.83 tff(4033,plain,
% 0.60/0.83 ((~(i29 = i39)) <=> (~(i29 = i39))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4034,axiom,(~(i29 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp324')).
% 0.60/0.83 tff(4035,plain,
% 0.60/0.83 (~(i29 = i39)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 0.60/0.83 tff(4036,plain,
% 0.60/0.83 (~(i39 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4035, 4032])).
% 0.60/0.83 tff(4037,plain,
% 0.60/0.83 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[779, 17, 4036])).
% 0.60/0.83 tff(4038,plain,
% 0.60/0.83 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4037])).
% 0.60/0.83 tff(4039,plain,
% 0.60/0.83 ((i29 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4040,plain,
% 0.60/0.83 ((i29 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4039, 746])).
% 0.60/0.83 tff(4041,plain,
% 0.60/0.83 ((~(i29 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4040])).
% 0.60/0.83 tff(4042,plain,
% 0.60/0.83 ((~(i29 = i38)) <=> (~(i29 = i38))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4043,axiom,(~(i29 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp325')).
% 0.60/0.83 tff(4044,plain,
% 0.60/0.83 (~(i29 = i38)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 0.60/0.83 tff(4045,plain,
% 0.60/0.83 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4044, 4041])).
% 0.60/0.83 tff(4046,plain,
% 0.60/0.83 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[758, 17, 4045])).
% 0.60/0.83 tff(4047,plain,
% 0.60/0.83 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4046])).
% 0.60/0.83 tff(4048,plain,
% 0.60/0.83 (select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[737, 17, 2900])).
% 0.60/0.83 tff(4049,plain,
% 0.60/0.83 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4048])).
% 0.60/0.83 tff(4050,plain,
% 0.60/0.83 ((i29 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4051,plain,
% 0.60/0.83 ((i29 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4050, 708])).
% 0.60/0.83 tff(4052,plain,
% 0.60/0.83 ((~(i29 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4051])).
% 0.60/0.83 tff(4053,plain,
% 0.60/0.83 ((~(i29 = i36)) <=> (~(i29 = i36))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4054,axiom,(~(i29 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp327')).
% 0.60/0.83 tff(4055,plain,
% 0.60/0.83 (~(i29 = i36)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4054, 4053])).
% 0.60/0.83 tff(4056,plain,
% 0.60/0.83 (~(i36 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4055, 4052])).
% 0.60/0.83 tff(4057,plain,
% 0.60/0.83 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[718, 17, 4056])).
% 0.60/0.83 tff(4058,plain,
% 0.60/0.83 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4057])).
% 0.60/0.83 tff(4059,plain,
% 0.60/0.83 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[699, 17, 3854])).
% 0.60/0.83 tff(4060,plain,
% 0.60/0.83 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4059])).
% 0.60/0.83 tff(4061,plain,
% 0.60/0.83 ((i29 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4062,plain,
% 0.60/0.83 ((i29 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4061, 670])).
% 0.60/0.83 tff(4063,plain,
% 0.60/0.83 ((~(i29 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4062])).
% 0.60/0.83 tff(4064,plain,
% 0.60/0.83 ((~(i29 = i34)) <=> (~(i29 = i34))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4065,axiom,(~(i29 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp329')).
% 0.60/0.83 tff(4066,plain,
% 0.60/0.83 (~(i29 = i34)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 0.60/0.83 tff(4067,plain,
% 0.60/0.83 (~(i34 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4066, 4063])).
% 0.60/0.83 tff(4068,plain,
% 0.60/0.83 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[680, 17, 4067])).
% 0.60/0.83 tff(4069,plain,
% 0.60/0.83 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4068])).
% 0.60/0.83 tff(4070,plain,
% 0.60/0.83 ((i29 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4071,plain,
% 0.60/0.83 ((i29 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4070, 651])).
% 0.60/0.83 tff(4072,plain,
% 0.60/0.83 ((~(i29 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4071])).
% 0.60/0.83 tff(4073,plain,
% 0.60/0.83 ((~(i29 = i33)) <=> (~(i29 = i33))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4074,axiom,(~(i29 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp330')).
% 0.60/0.83 tff(4075,plain,
% 0.60/0.83 (~(i29 = i33)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 0.60/0.83 tff(4076,plain,
% 0.60/0.83 (~(i33 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4075, 4072])).
% 0.60/0.83 tff(4077,plain,
% 0.60/0.83 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[661, 17, 4076])).
% 0.60/0.83 tff(4078,plain,
% 0.60/0.83 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4077])).
% 0.60/0.83 tff(4079,plain,
% 0.60/0.83 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[642, 17, 2484])).
% 0.60/0.83 tff(4080,plain,
% 0.60/0.83 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4079])).
% 0.60/0.83 tff(4081,plain,
% 0.60/0.83 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.83 inference(transitivity,[status(thm)],[611, 2284, 630, 4080, 649, 4078, 668, 4069, 687, 4060, 706, 4058, 725, 4049, 744, 4047, 767, 4038, 786, 4029, 809, 4020, 828, 4011, 847, 4002, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.60/0.83 tff(4082,plain,
% 0.60/0.83 ((select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4081, 3993])).
% 0.60/0.83 tff(4083,plain,
% 0.60/0.83 ((e_1852 = e_1853) <=> (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4082])).
% 0.60/0.83 tff(4084,plain,
% 0.60/0.83 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4083])).
% 0.60/0.83 tff(4085,plain,
% 0.60/0.83 (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[999, 4084])).
% 0.60/0.83 tff(4086,plain,
% 0.60/0.83 ((i29 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[3964])).
% 0.60/0.83 tff(4087,plain,
% 0.60/0.83 ((i29 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4086, 594])).
% 0.60/0.83 tff(4088,plain,
% 0.60/0.83 ((~(i29 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4087])).
% 0.60/0.83 tff(4089,plain,
% 0.60/0.83 ((~(i29 = i30)) <=> (~(i29 = i30))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4090,axiom,(~(i29 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp333')).
% 0.60/0.83 tff(4091,plain,
% 0.60/0.83 (~(i29 = i30)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4090, 4089])).
% 0.60/0.83 tff(4092,plain,
% 0.60/0.83 (~(i30 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4091, 4088])).
% 0.60/0.83 tff(4093,plain,
% 0.60/0.83 ($false),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[604, 17, 4092, 4085])).
% 0.60/0.83 tff(4094,plain,((~(i29 = sk(a_1800, a_1850))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.83 tff(4095,plain,
% 0.60/0.83 (~(i29 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[4094, 3855, 2578, 2904, 3962, 3847, 2930, 2922, 2910, 22, 3854, 2900, 3386])).
% 0.60/0.83 tff(4096,assumption,(~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.60/0.83 tff(4097,plain,
% 0.60/0.83 ($false),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[1222, 17, 4096, 580])).
% 0.60/0.83 tff(4098,plain,((i29 = sk(a_1800, a_1850)) | (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.83 tff(4099,plain,
% 0.60/0.83 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[4098, 4095])).
% 0.60/0.83 tff(4100,assumption,(~(i43 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.83 tff(4101,plain,
% 0.60/0.83 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[1864, 4100])).
% 0.60/0.83 tff(4102,plain,
% 0.60/0.83 (~(i4 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[3384, 1776, 1035, 1756, 1740, 983, 2577])).
% 0.60/0.83 tff(4103,plain,
% 0.60/0.83 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[1109, 4102])).
% 0.60/0.83 tff(4104,plain,
% 0.60/0.83 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4103])).
% 0.60/0.83 tff(4105,plain,
% 0.60/0.83 (~(i32 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[2483, 4103, 2578, 1035, 1764, 1776, 1756, 1740, 983])).
% 0.60/0.83 tff(4106,plain,
% 0.60/0.83 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[1128, 4105])).
% 0.60/0.83 tff(4107,plain,
% 0.60/0.83 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4106])).
% 0.60/0.83 tff(4108,assumption,(i5 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.83 tff(4109,plain,
% 0.60/0.83 (sk(a_1800, a_1850) = i5),
% 0.60/0.83 inference(symmetry,[status(thm)],[4108])).
% 0.60/0.83 tff(4110,plain,
% 0.60/0.83 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), i5)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4109])).
% 0.60/0.83 tff(4111,plain,
% 0.60/0.83 (select(store(store(a_1842, i12, e12), i5, e5), i5) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.60/0.83 inference(symmetry,[status(thm)],[4110])).
% 0.60/0.83 tff(4112,plain,
% 0.60/0.83 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1842, i12, e12), i5, e5), i5) = e5)),
% 0.60/0.83 inference(quant_inst,[status(thm)],[])).
% 0.60/0.83 tff(4113,plain,
% 0.60/0.83 (select(store(store(a_1842, i12, e12), i5, e5), i5) = e5),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[4112, 47])).
% 0.60/0.83 tff(4114,plain,
% 0.60/0.83 (e5 = select(store(store(a_1842, i12, e12), i5, e5), i5)),
% 0.60/0.83 inference(symmetry,[status(thm)],[4113])).
% 0.60/0.83 tff(4115,plain,
% 0.60/0.83 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1753, i4, e4), i5, e5), i5) = e5)),
% 0.60/0.83 inference(quant_inst,[status(thm)],[])).
% 0.60/0.83 tff(4116,plain,
% 0.60/0.83 (select(store(store(a_1753, i4, e4), i5, e5), i5) = e5),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[4115, 47])).
% 0.60/0.83 tff(4117,plain,
% 0.60/0.83 (select(store(store(a_1753, i4, e4), i5, e5), i5) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[128, 4108])).
% 0.60/0.83 tff(4118,plain,
% 0.60/0.83 (select(store(a_1754, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1753, i4, e4), i5, e5), i5)),
% 0.60/0.83 inference(symmetry,[status(thm)],[4117])).
% 0.60/0.83 tff(4119,plain,
% 0.60/0.83 ((i5 = i6) <=> (sk(a_1800, a_1850) = i6)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4120,plain,
% 0.60/0.83 ((i5 = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4119, 131])).
% 0.60/0.83 tff(4121,plain,
% 0.60/0.83 ((~(i5 = i6)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4120])).
% 0.60/0.83 tff(4122,plain,
% 0.60/0.83 ((~(i5 = i6)) <=> (~(i5 = i6))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4123,axiom,(~(i5 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1137')).
% 0.60/0.83 tff(4124,plain,
% 0.60/0.83 (~(i5 = i6)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 0.60/0.83 tff(4125,plain,
% 0.60/0.83 (~(i6 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4124, 4121])).
% 0.60/0.83 tff(4126,plain,
% 0.60/0.83 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[141, 17, 4125])).
% 0.60/0.83 tff(4127,plain,
% 0.60/0.83 ((i5 = i7) <=> (sk(a_1800, a_1850) = i7)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4128,plain,
% 0.60/0.83 ((i5 = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4127, 150])).
% 0.60/0.83 tff(4129,plain,
% 0.60/0.83 ((~(i5 = i7)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4128])).
% 0.60/0.83 tff(4130,plain,
% 0.60/0.83 ((~(i5 = i7)) <=> (~(i5 = i7))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4131,axiom,(~(i5 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1136')).
% 0.60/0.83 tff(4132,plain,
% 0.60/0.83 (~(i5 = i7)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 0.60/0.83 tff(4133,plain,
% 0.60/0.83 (~(i7 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4132, 4129])).
% 0.60/0.83 tff(4134,plain,
% 0.60/0.83 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[160, 17, 4133])).
% 0.60/0.83 tff(4135,plain,
% 0.60/0.83 ((i5 = i8) <=> (sk(a_1800, a_1850) = i8)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4136,plain,
% 0.60/0.83 ((i5 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4135, 169])).
% 0.60/0.83 tff(4137,plain,
% 0.60/0.83 ((~(i5 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4136])).
% 0.60/0.83 tff(4138,plain,
% 0.60/0.83 ((~(i5 = i8)) <=> (~(i5 = i8))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4139,axiom,(~(i5 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1135')).
% 0.60/0.83 tff(4140,plain,
% 0.60/0.83 (~(i5 = i8)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4139, 4138])).
% 0.60/0.83 tff(4141,plain,
% 0.60/0.83 (~(i8 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4140, 4137])).
% 0.60/0.83 tff(4142,plain,
% 0.60/0.83 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[179, 17, 4141])).
% 0.60/0.83 tff(4143,plain,
% 0.60/0.83 ((i5 = i9) <=> (sk(a_1800, a_1850) = i9)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4144,plain,
% 0.60/0.83 ((i5 = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4143, 188])).
% 0.60/0.83 tff(4145,plain,
% 0.60/0.83 ((~(i5 = i9)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4144])).
% 0.60/0.83 tff(4146,plain,
% 0.60/0.83 ((~(i5 = i9)) <=> (~(i5 = i9))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4147,axiom,(~(i5 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1134')).
% 0.60/0.83 tff(4148,plain,
% 0.60/0.83 (~(i5 = i9)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 0.60/0.83 tff(4149,plain,
% 0.60/0.83 (~(i9 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4148, 4145])).
% 0.60/0.83 tff(4150,plain,
% 0.60/0.83 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[198, 17, 4149])).
% 0.60/0.83 tff(4151,plain,
% 0.60/0.83 ((i5 = i10) <=> (sk(a_1800, a_1850) = i10)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4152,plain,
% 0.60/0.83 ((i5 = i10) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4151, 207])).
% 0.60/0.83 tff(4153,plain,
% 0.60/0.83 ((~(i5 = i10)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4152])).
% 0.60/0.83 tff(4154,plain,
% 0.60/0.83 ((~(i5 = i10)) <=> (~(i5 = i10))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4155,axiom,(~(i5 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1133')).
% 0.60/0.83 tff(4156,plain,
% 0.60/0.83 (~(i5 = i10)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4155, 4154])).
% 0.60/0.83 tff(4157,plain,
% 0.60/0.83 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4156, 4153])).
% 0.60/0.83 tff(4158,plain,
% 0.60/0.83 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[217, 17, 4157])).
% 0.60/0.83 tff(4159,plain,
% 0.60/0.83 ((i5 = i11) <=> (sk(a_1800, a_1850) = i11)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4160,plain,
% 0.60/0.83 ((i5 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4159, 226])).
% 0.60/0.83 tff(4161,plain,
% 0.60/0.83 ((~(i5 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4160])).
% 0.60/0.83 tff(4162,plain,
% 0.60/0.83 ((~(i5 = i11)) <=> (~(i5 = i11))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4163,axiom,(~(i5 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1132')).
% 0.60/0.83 tff(4164,plain,
% 0.60/0.83 (~(i5 = i11)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 0.60/0.83 tff(4165,plain,
% 0.60/0.83 (~(i11 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4164, 4161])).
% 0.60/0.83 tff(4166,plain,
% 0.60/0.83 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[236, 17, 4165])).
% 0.60/0.83 tff(4167,plain,
% 0.60/0.83 ((i5 = i12) <=> (sk(a_1800, a_1850) = i12)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4168,plain,
% 0.60/0.83 ((i5 = i12) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4167, 245])).
% 0.60/0.83 tff(4169,plain,
% 0.60/0.83 ((~(i5 = i12)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4168])).
% 0.60/0.83 tff(4170,plain,
% 0.60/0.83 ((~(i5 = i12)) <=> (~(i5 = i12))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4171,axiom,(~(i5 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1131')).
% 0.60/0.83 tff(4172,plain,
% 0.60/0.83 (~(i5 = i12)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 0.60/0.83 tff(4173,plain,
% 0.60/0.83 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4172, 4169])).
% 0.60/0.83 tff(4174,plain,
% 0.60/0.83 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[259, 4173])).
% 0.60/0.83 tff(4175,plain,
% 0.60/0.83 ((i5 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4176,plain,
% 0.60/0.83 ((i5 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4175, 268])).
% 0.60/0.83 tff(4177,plain,
% 0.60/0.83 ((~(i5 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4176])).
% 0.60/0.83 tff(4178,plain,
% 0.60/0.83 ((~(i5 = i13)) <=> (~(i5 = i13))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4179,axiom,(~(i5 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1130')).
% 0.60/0.83 tff(4180,plain,
% 0.60/0.83 (~(i5 = i13)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4179, 4178])).
% 0.60/0.83 tff(4181,plain,
% 0.60/0.83 (~(i13 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4180, 4177])).
% 0.60/0.83 tff(4182,plain,
% 0.60/0.83 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[278, 17, 4181])).
% 0.60/0.83 tff(4183,plain,
% 0.60/0.83 ((i5 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4184,plain,
% 0.60/0.83 ((i5 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4183, 287])).
% 0.60/0.83 tff(4185,plain,
% 0.60/0.83 ((~(i5 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4184])).
% 0.60/0.83 tff(4186,plain,
% 0.60/0.83 ((~(i5 = i14)) <=> (~(i5 = i14))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(4187,axiom,(~(i5 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1129')).
% 0.60/0.83 tff(4188,plain,
% 0.60/0.83 (~(i5 = i14)),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4187, 4186])).
% 0.60/0.83 tff(4189,plain,
% 0.60/0.83 (~(i14 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(modus_ponens,[status(thm)],[4188, 4185])).
% 0.60/0.83 tff(4190,plain,
% 0.60/0.83 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.60/0.83 inference(unit_resolution,[status(thm)],[297, 17, 4189])).
% 0.60/0.83 tff(4191,plain,
% 0.60/0.83 ((i5 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.60/0.83 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.83 tff(4192,plain,
% 0.60/0.83 ((i5 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.60/0.83 inference(transitivity,[status(thm)],[4191, 306])).
% 0.60/0.83 tff(4193,plain,
% 0.60/0.83 ((~(i5 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4192])).
% 0.60/0.84 tff(4194,plain,
% 0.60/0.84 ((~(i5 = i15)) <=> (~(i5 = i15))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4195,axiom,(~(i5 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1128')).
% 0.60/0.84 tff(4196,plain,
% 0.60/0.84 (~(i5 = i15)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4195, 4194])).
% 0.60/0.84 tff(4197,plain,
% 0.60/0.84 (~(i15 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4196, 4193])).
% 0.60/0.84 tff(4198,plain,
% 0.60/0.84 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[316, 17, 4197])).
% 0.60/0.84 tff(4199,plain,
% 0.60/0.84 ((i5 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4200,plain,
% 0.60/0.84 ((i5 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4199, 325])).
% 0.60/0.84 tff(4201,plain,
% 0.60/0.84 ((~(i5 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4200])).
% 0.60/0.84 tff(4202,plain,
% 0.60/0.84 ((~(i5 = i16)) <=> (~(i5 = i16))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4203,axiom,(~(i5 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1127')).
% 0.60/0.84 tff(4204,plain,
% 0.60/0.84 (~(i5 = i16)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 0.60/0.84 tff(4205,plain,
% 0.60/0.84 (~(i16 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4204, 4201])).
% 0.60/0.84 tff(4206,plain,
% 0.60/0.84 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[335, 17, 4205])).
% 0.60/0.84 tff(4207,plain,
% 0.60/0.84 ((i5 = i17) <=> (sk(a_1800, a_1850) = i17)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4208,plain,
% 0.60/0.84 ((i5 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4207, 344])).
% 0.60/0.84 tff(4209,plain,
% 0.60/0.84 ((~(i5 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4208])).
% 0.60/0.84 tff(4210,plain,
% 0.60/0.84 ((~(i5 = i17)) <=> (~(i5 = i17))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4211,axiom,(~(i5 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1126')).
% 0.60/0.84 tff(4212,plain,
% 0.60/0.84 (~(i5 = i17)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 0.60/0.84 tff(4213,plain,
% 0.60/0.84 (~(i17 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4212, 4209])).
% 0.60/0.84 tff(4214,plain,
% 0.60/0.84 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[354, 17, 4213])).
% 0.60/0.84 tff(4215,plain,
% 0.60/0.84 ((i5 = i18) <=> (sk(a_1800, a_1850) = i18)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4216,plain,
% 0.60/0.84 ((i5 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4215, 363])).
% 0.60/0.84 tff(4217,plain,
% 0.60/0.84 ((~(i5 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4216])).
% 0.60/0.84 tff(4218,plain,
% 0.60/0.84 ((~(i5 = i18)) <=> (~(i5 = i18))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4219,axiom,(~(i5 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1125')).
% 0.60/0.84 tff(4220,plain,
% 0.60/0.84 (~(i5 = i18)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 0.60/0.84 tff(4221,plain,
% 0.60/0.84 (~(i18 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4220, 4217])).
% 0.60/0.84 tff(4222,plain,
% 0.60/0.84 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[373, 17, 4221])).
% 0.60/0.84 tff(4223,plain,
% 0.60/0.84 ((i5 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4224,plain,
% 0.60/0.84 ((i5 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4223, 382])).
% 0.60/0.84 tff(4225,plain,
% 0.60/0.84 ((~(i5 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4224])).
% 0.60/0.84 tff(4226,plain,
% 0.60/0.84 ((~(i5 = i19)) <=> (~(i5 = i19))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4227,axiom,(~(i5 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1124')).
% 0.60/0.84 tff(4228,plain,
% 0.60/0.84 (~(i5 = i19)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 0.60/0.84 tff(4229,plain,
% 0.60/0.84 (~(i19 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4228, 4225])).
% 0.60/0.84 tff(4230,plain,
% 0.60/0.84 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[392, 17, 4229])).
% 0.60/0.84 tff(4231,plain,
% 0.60/0.84 ((i5 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4232,plain,
% 0.60/0.84 ((i5 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4231, 401])).
% 0.60/0.84 tff(4233,plain,
% 0.60/0.84 ((~(i5 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4232])).
% 0.60/0.84 tff(4234,plain,
% 0.60/0.84 ((~(i5 = i20)) <=> (~(i5 = i20))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4235,axiom,(~(i5 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1123')).
% 0.60/0.84 tff(4236,plain,
% 0.60/0.84 (~(i5 = i20)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4235, 4234])).
% 0.60/0.84 tff(4237,plain,
% 0.60/0.84 (~(i20 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4236, 4233])).
% 0.60/0.84 tff(4238,plain,
% 0.60/0.84 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[411, 17, 4237])).
% 0.60/0.84 tff(4239,plain,
% 0.60/0.84 ((i5 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4240,plain,
% 0.60/0.84 ((i5 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4239, 439])).
% 0.60/0.84 tff(4241,plain,
% 0.60/0.84 ((~(i5 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4240])).
% 0.60/0.84 tff(4242,plain,
% 0.60/0.84 ((~(i5 = i22)) <=> (~(i5 = i22))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4243,axiom,(~(i5 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1121')).
% 0.60/0.84 tff(4244,plain,
% 0.60/0.84 (~(i5 = i22)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 0.60/0.84 tff(4245,plain,
% 0.60/0.84 (~(i22 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4244, 4241])).
% 0.60/0.84 tff(4246,plain,
% 0.60/0.84 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[449, 17, 4245])).
% 0.60/0.84 tff(4247,plain,
% 0.60/0.84 ((i5 = i23) <=> (sk(a_1800, a_1850) = i23)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4248,plain,
% 0.60/0.84 ((i5 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4247, 458])).
% 0.60/0.84 tff(4249,plain,
% 0.60/0.84 ((~(i5 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4248])).
% 0.60/0.84 tff(4250,plain,
% 0.60/0.84 ((~(i5 = i23)) <=> (~(i5 = i23))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4251,axiom,(~(i5 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1120')).
% 0.60/0.84 tff(4252,plain,
% 0.60/0.84 (~(i5 = i23)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 0.60/0.84 tff(4253,plain,
% 0.60/0.84 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4252, 4249])).
% 0.60/0.84 tff(4254,plain,
% 0.60/0.84 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[468, 17, 4253])).
% 0.60/0.84 tff(4255,plain,
% 0.60/0.84 ((i5 = i25) <=> (sk(a_1800, a_1850) = i25)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4256,plain,
% 0.60/0.84 ((i5 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4255, 495])).
% 0.60/0.84 tff(4257,plain,
% 0.60/0.84 ((~(i5 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4256])).
% 0.60/0.84 tff(4258,plain,
% 0.60/0.84 ((~(i5 = i25)) <=> (~(i5 = i25))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4259,axiom,(~(i5 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1118')).
% 0.60/0.84 tff(4260,plain,
% 0.60/0.84 (~(i5 = i25)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4259, 4258])).
% 0.60/0.84 tff(4261,plain,
% 0.60/0.84 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4260, 4257])).
% 0.60/0.84 tff(4262,plain,
% 0.60/0.84 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[505, 17, 4261])).
% 0.60/0.84 tff(4263,plain,
% 0.60/0.84 ((i5 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4264,plain,
% 0.60/0.84 ((i5 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4263, 514])).
% 0.60/0.84 tff(4265,plain,
% 0.60/0.84 ((~(i5 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4264])).
% 0.60/0.84 tff(4266,plain,
% 0.60/0.84 ((~(i5 = i26)) <=> (~(i5 = i26))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4267,axiom,(~(i5 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1117')).
% 0.60/0.84 tff(4268,plain,
% 0.60/0.84 (~(i5 = i26)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 0.60/0.84 tff(4269,plain,
% 0.60/0.84 (~(i26 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4268, 4265])).
% 0.60/0.84 tff(4270,plain,
% 0.60/0.84 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[524, 17, 4269])).
% 0.60/0.84 tff(4271,plain,
% 0.60/0.84 ((i5 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4272,plain,
% 0.60/0.84 ((i5 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4271, 533])).
% 0.60/0.84 tff(4273,plain,
% 0.60/0.84 ((~(i5 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4272])).
% 0.60/0.84 tff(4274,plain,
% 0.60/0.84 ((~(i5 = i27)) <=> (~(i5 = i27))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4275,axiom,(~(i5 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1116')).
% 0.60/0.84 tff(4276,plain,
% 0.60/0.84 (~(i5 = i27)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4275, 4274])).
% 0.60/0.84 tff(4277,plain,
% 0.60/0.84 (~(i27 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4276, 4273])).
% 0.60/0.84 tff(4278,plain,
% 0.60/0.84 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[543, 17, 4277])).
% 0.60/0.84 tff(4279,plain,
% 0.60/0.84 ((i5 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4280,plain,
% 0.60/0.84 ((i5 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4279, 552])).
% 0.60/0.84 tff(4281,plain,
% 0.60/0.84 ((~(i5 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4280])).
% 0.60/0.84 tff(4282,plain,
% 0.60/0.84 ((~(i5 = i28)) <=> (~(i5 = i28))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4283,axiom,(~(i5 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1115')).
% 0.60/0.84 tff(4284,plain,
% 0.60/0.84 (~(i5 = i28)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4283, 4282])).
% 0.60/0.84 tff(4285,plain,
% 0.60/0.84 (~(i28 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4284, 4281])).
% 0.60/0.84 tff(4286,plain,
% 0.60/0.84 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[562, 17, 4285])).
% 0.60/0.84 tff(4287,plain,
% 0.60/0.84 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[583, 17, 580])).
% 0.60/0.84 tff(4288,plain,
% 0.60/0.84 ((i5 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4289,plain,
% 0.60/0.84 ((i5 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4288, 594])).
% 0.60/0.84 tff(4290,plain,
% 0.60/0.84 ((~(i5 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4289])).
% 0.60/0.84 tff(4291,plain,
% 0.60/0.84 ((~(i5 = i30)) <=> (~(i5 = i30))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4292,axiom,(~(i5 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1113')).
% 0.60/0.84 tff(4293,plain,
% 0.60/0.84 (~(i5 = i30)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 0.60/0.84 tff(4294,plain,
% 0.60/0.84 (~(i30 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4293, 4290])).
% 0.60/0.84 tff(4295,plain,
% 0.60/0.84 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[604, 17, 4294])).
% 0.60/0.84 tff(4296,plain,
% 0.60/0.84 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[642, 17, 4105])).
% 0.60/0.84 tff(4297,plain,
% 0.60/0.84 ((i5 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4298,plain,
% 0.60/0.84 ((i5 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4297, 651])).
% 0.60/0.84 tff(4299,plain,
% 0.60/0.84 ((~(i5 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4298])).
% 0.60/0.84 tff(4300,plain,
% 0.60/0.84 ((~(i5 = i33)) <=> (~(i5 = i33))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4301,axiom,(~(i5 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1110')).
% 0.60/0.84 tff(4302,plain,
% 0.60/0.84 (~(i5 = i33)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 0.60/0.84 tff(4303,plain,
% 0.60/0.84 (~(i33 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4302, 4299])).
% 0.60/0.84 tff(4304,plain,
% 0.60/0.84 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[661, 17, 4303])).
% 0.60/0.84 tff(4305,plain,
% 0.60/0.84 ((i5 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4306,plain,
% 0.60/0.84 ((i5 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4305, 670])).
% 0.60/0.84 tff(4307,plain,
% 0.60/0.84 ((~(i5 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4306])).
% 0.60/0.84 tff(4308,plain,
% 0.60/0.84 ((~(i5 = i34)) <=> (~(i5 = i34))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4309,axiom,(~(i5 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1109')).
% 0.60/0.84 tff(4310,plain,
% 0.60/0.84 (~(i5 = i34)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 0.60/0.84 tff(4311,plain,
% 0.60/0.84 (~(i34 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4310, 4307])).
% 0.60/0.84 tff(4312,plain,
% 0.60/0.84 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[680, 17, 4311])).
% 0.60/0.84 tff(4313,plain,
% 0.60/0.84 ((i5 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4314,plain,
% 0.60/0.84 ((i5 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4313, 708])).
% 0.60/0.84 tff(4315,plain,
% 0.60/0.84 ((~(i5 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4314])).
% 0.60/0.84 tff(4316,plain,
% 0.60/0.84 ((~(i5 = i36)) <=> (~(i5 = i36))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4317,axiom,(~(i5 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1107')).
% 0.60/0.84 tff(4318,plain,
% 0.60/0.84 (~(i5 = i36)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4317, 4316])).
% 0.60/0.84 tff(4319,plain,
% 0.60/0.84 (~(i36 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4318, 4315])).
% 0.60/0.84 tff(4320,plain,
% 0.60/0.84 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[718, 17, 4319])).
% 0.60/0.84 tff(4321,plain,
% 0.60/0.84 ((i5 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4322,plain,
% 0.60/0.84 ((i5 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4321, 746])).
% 0.60/0.84 tff(4323,plain,
% 0.60/0.84 ((~(i5 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4322])).
% 0.60/0.84 tff(4324,plain,
% 0.60/0.84 ((~(i5 = i38)) <=> (~(i5 = i38))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4325,axiom,(~(i5 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1105')).
% 0.60/0.84 tff(4326,plain,
% 0.60/0.84 (~(i5 = i38)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 0.60/0.84 tff(4327,plain,
% 0.60/0.84 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4326, 4323])).
% 0.60/0.84 tff(4328,plain,
% 0.60/0.84 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[758, 17, 4327])).
% 0.60/0.84 tff(4329,plain,
% 0.60/0.84 ((i5 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4330,plain,
% 0.60/0.84 ((i5 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4329, 769])).
% 0.60/0.84 tff(4331,plain,
% 0.60/0.84 ((~(i5 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4330])).
% 0.60/0.84 tff(4332,plain,
% 0.60/0.84 ((~(i5 = i39)) <=> (~(i5 = i39))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4333,axiom,(~(i5 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1104')).
% 0.60/0.84 tff(4334,plain,
% 0.60/0.84 (~(i5 = i39)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 0.60/0.84 tff(4335,plain,
% 0.60/0.84 (~(i39 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4334, 4331])).
% 0.60/0.84 tff(4336,plain,
% 0.60/0.84 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[779, 17, 4335])).
% 0.60/0.84 tff(4337,plain,
% 0.60/0.84 ((i5 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4338,plain,
% 0.60/0.84 ((i5 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4337, 788])).
% 0.60/0.84 tff(4339,plain,
% 0.60/0.84 ((~(i5 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4338])).
% 0.60/0.84 tff(4340,plain,
% 0.60/0.84 ((~(i5 = i40)) <=> (~(i5 = i40))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4341,axiom,(~(i5 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1103')).
% 0.60/0.84 tff(4342,plain,
% 0.60/0.84 (~(i5 = i40)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 0.60/0.84 tff(4343,plain,
% 0.60/0.84 (~(i40 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4342, 4339])).
% 0.60/0.84 tff(4344,plain,
% 0.60/0.84 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[800, 17, 4343])).
% 0.60/0.84 tff(4345,plain,
% 0.60/0.84 ((i5 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4346,plain,
% 0.60/0.84 ((i5 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4345, 811])).
% 0.60/0.84 tff(4347,plain,
% 0.60/0.84 ((~(i5 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4346])).
% 0.60/0.84 tff(4348,plain,
% 0.60/0.84 ((~(i5 = i41)) <=> (~(i5 = i41))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4349,axiom,(~(i5 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1102')).
% 0.60/0.84 tff(4350,plain,
% 0.60/0.84 (~(i5 = i41)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 0.60/0.84 tff(4351,plain,
% 0.60/0.84 (~(i41 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4350, 4347])).
% 0.60/0.84 tff(4352,plain,
% 0.60/0.84 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[821, 17, 4351])).
% 0.60/0.84 tff(4353,plain,
% 0.60/0.84 ((i5 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4354,plain,
% 0.60/0.84 ((i5 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4353, 830])).
% 0.60/0.84 tff(4355,plain,
% 0.60/0.84 ((~(i5 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4354])).
% 0.60/0.84 tff(4356,plain,
% 0.60/0.84 ((~(i5 = i42)) <=> (~(i5 = i42))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4357,axiom,(~(i5 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1101')).
% 0.60/0.84 tff(4358,plain,
% 0.60/0.84 (~(i5 = i42)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 0.60/0.84 tff(4359,plain,
% 0.60/0.84 (~(i42 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4358, 4355])).
% 0.60/0.84 tff(4360,plain,
% 0.60/0.84 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[840, 17, 4359])).
% 0.60/0.84 tff(4361,plain,
% 0.60/0.84 ((i5 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4108])).
% 0.60/0.84 tff(4362,plain,
% 0.60/0.84 ((i5 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(transitivity,[status(thm)],[4361, 849])).
% 0.60/0.84 tff(4363,plain,
% 0.60/0.84 ((~(i5 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4362])).
% 0.60/0.84 tff(4364,plain,
% 0.60/0.84 ((~(i5 = i43)) <=> (~(i5 = i43))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4365,axiom,(~(i5 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1100')).
% 0.60/0.84 tff(4366,plain,
% 0.60/0.84 (~(i5 = i43)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 0.60/0.84 tff(4367,plain,
% 0.60/0.84 (~(i43 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4366, 4363])).
% 0.60/0.84 tff(4368,plain,
% 0.60/0.84 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[1864, 4367])).
% 0.60/0.84 tff(4369,plain,
% 0.60/0.84 (e_1852 = e_1853),
% 0.60/0.84 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 4368, 848, 4360, 829, 4352, 810, 4344, 787, 4336, 768, 4328, 745, 4048, 726, 4320, 707, 4059, 688, 4312, 669, 4304, 650, 4296, 631, 2283, 612, 4295, 593, 4287, 570, 4286, 551, 4278, 532, 4270, 513, 4262, 494, 3169, 476, 4254, 457, 4246, 438, 3195, 419, 4238, 400, 4230, 381, 4222, 362, 4214, 343, 4206, 324, 4198, 305, 4190, 286, 4182, 267, 4174, 244, 4166, 225, 4158, 206, 4150, 187, 4142, 168, 4134, 149, 4126, 4118, 4116, 4114, 4111, 3853, 4107, 3390, 4104, 2928, 2944, 2920, 2917, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.60/0.84 tff(4370,plain,
% 0.60/0.84 ($false),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[999, 4369])).
% 0.60/0.84 tff(4371,plain,((~(i5 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i21 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.84 tff(4372,plain,
% 0.60/0.84 (~(i5 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4371, 4095, 3962, 3847, 2930, 2922, 2910, 22, 2577, 2904, 3854, 2900])).
% 0.60/0.84 tff(4373,plain,
% 0.60/0.84 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[1147, 4372])).
% 0.60/0.84 tff(4374,plain,
% 0.60/0.84 (~(i44 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[3960, 2900, 1774, 1035, 3854, 11, 1775])).
% 0.60/0.84 tff(4375,plain,
% 0.60/0.84 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[1772, 4374])).
% 0.60/0.84 tff(4376,plain,
% 0.60/0.84 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.84 inference(symmetry,[status(thm)],[4375])).
% 0.60/0.84 tff(4377,assumption,(i42 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.84 tff(4378,plain,
% 0.60/0.84 (select(store(store(a_1790, i41, e41), i42, e42), i42) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.84 tff(4379,plain,
% 0.60/0.84 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1790, i41, e41), i42, e42), i42) = e42)),
% 0.60/0.84 inference(quant_inst,[status(thm)],[])).
% 0.60/0.84 tff(4380,plain,
% 0.60/0.84 (select(store(store(a_1790, i41, e41), i42, e42), i42) = e42),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4379, 47])).
% 0.60/0.84 tff(4381,plain,
% 0.60/0.84 (e42 = select(store(store(a_1790, i41, e41), i42, e42), i42)),
% 0.60/0.84 inference(symmetry,[status(thm)],[4380])).
% 0.60/0.84 tff(4382,plain,
% 0.60/0.84 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1821, i17, e17), i42, e42), i42) = e42)),
% 0.60/0.84 inference(quant_inst,[status(thm)],[])).
% 0.60/0.84 tff(4383,plain,
% 0.60/0.84 (select(store(store(a_1821, i17, e17), i42, e42), i42) = e42),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4382, 47])).
% 0.60/0.84 tff(4384,plain,
% 0.60/0.84 (sk(a_1800, a_1850) = i42),
% 0.60/0.84 inference(symmetry,[status(thm)],[4377])).
% 0.60/0.84 tff(4385,plain,
% 0.60/0.84 (store(a_1822, i42, e42) = store(store(a_1821, i17, e17), i42, e42)),
% 0.60/0.84 inference(symmetry,[status(thm)],[1526])).
% 0.60/0.84 tff(4386,plain,
% 0.60/0.84 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), i42)),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4385, 4384])).
% 0.60/0.84 tff(4387,assumption,(~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.60/0.84 tff(4388,assumption,(~(i47 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.60/0.84 tff(4389,plain,
% 0.60/0.84 ($false),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[1518, 17, 4388, 4387])).
% 0.60/0.84 tff(4390,plain,((select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))) | (i47 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.84 tff(4391,plain,
% 0.60/0.84 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4390, 2794])).
% 0.60/0.84 tff(4392,plain,
% 0.60/0.84 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[2600])).
% 0.60/0.84 tff(4393,plain,
% 0.60/0.84 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.84 inference(transitivity,[status(thm)],[4392, 4391, 4386, 4383, 4381, 4378, 847, 2521, 866, 4376, 885, 3861, 904, 3858, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.60/0.84 tff(4394,plain,
% 0.60/0.84 ((i12 = i42) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.84 tff(4395,plain,
% 0.60/0.84 ((~(i12 = i42)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4394])).
% 0.60/0.84 tff(4396,plain,
% 0.60/0.84 ((~(i12 = i42)) <=> (~(i12 = i42))),
% 0.60/0.84 inference(rewrite,[status(thm)],[])).
% 0.60/0.84 tff(4397,axiom,(~(i12 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp814')).
% 0.60/0.84 tff(4398,plain,
% 0.60/0.84 (~(i12 = i42)),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 0.60/0.84 tff(4399,plain,
% 0.60/0.84 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(modus_ponens,[status(thm)],[4398, 4395])).
% 0.60/0.84 tff(4400,plain,
% 0.60/0.84 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[1166, 4399])).
% 0.60/0.84 tff(4401,plain,
% 0.60/0.84 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.84 inference(symmetry,[status(thm)],[4400])).
% 0.60/0.84 tff(4402,plain,
% 0.60/0.84 (~(i29 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4094, 3855, 1774, 1035, 4375, 3860, 3857, 2795, 2589, 22, 3854, 2900, 1775])).
% 0.60/0.84 tff(4403,plain,
% 0.60/0.84 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.60/0.84 inference(unit_resolution,[status(thm)],[4098, 4402])).
% 0.60/0.84 tff(4404,plain,
% 0.60/0.84 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.60/0.84 inference(symmetry,[status(thm)],[4403])).
% 0.60/0.84 tff(4405,plain,
% 0.60/0.84 ((i10 = i42) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.84 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.84 tff(4406,plain,
% 0.60/0.84 ((~(i10 = i42)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4405])).
% 0.60/0.85 tff(4407,plain,
% 0.60/0.85 ((~(i10 = i42)) <=> (~(i10 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4408,axiom,(~(i10 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp891')).
% 0.60/0.85 tff(4409,plain,
% 0.60/0.85 (~(i10 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 0.60/0.85 tff(4410,plain,
% 0.60/0.85 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4409, 4406])).
% 0.60/0.85 tff(4411,plain,
% 0.60/0.85 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1260, 17, 4410])).
% 0.60/0.85 tff(4412,plain,
% 0.60/0.85 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4411])).
% 0.60/0.85 tff(4413,plain,
% 0.60/0.85 ((i2 = i42) <=> (i2 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4414,plain,
% 0.60/0.85 ((~(i2 = i42)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4413])).
% 0.60/0.85 tff(4415,plain,
% 0.60/0.85 ((~(i2 = i42)) <=> (~(i2 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4416,axiom,(~(i2 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1239')).
% 0.60/0.85 tff(4417,plain,
% 0.60/0.85 (~(i2 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 0.60/0.85 tff(4418,plain,
% 0.60/0.85 (~(i2 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4417, 4414])).
% 0.60/0.85 tff(4419,plain,
% 0.60/0.85 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1279, 17, 4418])).
% 0.60/0.85 tff(4420,plain,
% 0.60/0.85 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4419])).
% 0.60/0.85 tff(4421,plain,
% 0.60/0.85 ((i25 = i42) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4422,plain,
% 0.60/0.85 ((~(i25 = i42)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4421])).
% 0.60/0.85 tff(4423,plain,
% 0.60/0.85 ((~(i25 = i42)) <=> (~(i25 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4424,axiom,(~(i25 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp411')).
% 0.60/0.85 tff(4425,plain,
% 0.60/0.85 (~(i25 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 0.60/0.85 tff(4426,plain,
% 0.60/0.85 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4425, 4422])).
% 0.60/0.85 tff(4427,plain,
% 0.60/0.85 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1347, 17, 4426])).
% 0.60/0.85 tff(4428,plain,
% 0.60/0.85 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4427])).
% 0.60/0.85 tff(4429,plain,
% 0.60/0.85 ((i23 = i42) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4430,plain,
% 0.60/0.85 ((~(i23 = i42)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4429])).
% 0.60/0.85 tff(4431,plain,
% 0.60/0.85 ((~(i23 = i42)) <=> (~(i23 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4432,axiom,(~(i23 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp462')).
% 0.60/0.85 tff(4433,plain,
% 0.60/0.85 (~(i23 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 0.60/0.85 tff(4434,plain,
% 0.60/0.85 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4433, 4430])).
% 0.60/0.85 tff(4435,plain,
% 0.60/0.85 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1366, 17, 4434])).
% 0.60/0.85 tff(4436,plain,
% 0.60/0.85 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4435])).
% 0.60/0.85 tff(4437,assumption,(i38 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.85 tff(4438,plain,
% 0.60/0.85 ((i38 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4439,plain,
% 0.60/0.85 ((i38 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(transitivity,[status(thm)],[4438, 849])).
% 0.60/0.85 tff(4440,plain,
% 0.60/0.85 ((~(i38 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4439])).
% 0.60/0.85 tff(4441,plain,
% 0.60/0.85 ((~(i38 = i43)) <=> (~(i38 = i43))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4442,axiom,(~(i38 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp176')).
% 0.60/0.85 tff(4443,plain,
% 0.60/0.85 (~(i38 = i43)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 0.60/0.85 tff(4444,plain,
% 0.60/0.85 (~(i43 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4443, 4440])).
% 0.60/0.85 tff(4445,plain,
% 0.60/0.85 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1864, 4444])).
% 0.60/0.85 tff(4446,plain,
% 0.60/0.85 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4445])).
% 0.60/0.85 tff(4447,plain,
% 0.60/0.85 ((i38 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4448,plain,
% 0.60/0.85 ((i38 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(transitivity,[status(thm)],[4447, 830])).
% 0.60/0.85 tff(4449,plain,
% 0.60/0.85 ((~(i38 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4448])).
% 0.60/0.85 tff(4450,plain,
% 0.60/0.85 ((~(i38 = i42)) <=> (~(i38 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4451,axiom,(~(i38 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp177')).
% 0.60/0.85 tff(4452,plain,
% 0.60/0.85 (~(i38 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 0.60/0.85 tff(4453,plain,
% 0.60/0.85 (~(i42 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4452, 4449])).
% 0.60/0.85 tff(4454,plain,
% 0.60/0.85 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[840, 17, 4453])).
% 0.60/0.85 tff(4455,plain,
% 0.60/0.85 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4454])).
% 0.60/0.85 tff(4456,plain,
% 0.60/0.85 ((i38 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4457,plain,
% 0.60/0.85 ((i38 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(transitivity,[status(thm)],[4456, 811])).
% 0.60/0.85 tff(4458,plain,
% 0.60/0.85 ((~(i38 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4457])).
% 0.60/0.85 tff(4459,plain,
% 0.60/0.85 ((~(i38 = i41)) <=> (~(i38 = i41))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4460,axiom,(~(i38 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp178')).
% 0.60/0.85 tff(4461,plain,
% 0.60/0.85 (~(i38 = i41)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 0.60/0.85 tff(4462,plain,
% 0.60/0.85 (~(i41 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4461, 4458])).
% 0.60/0.85 tff(4463,plain,
% 0.60/0.85 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[821, 17, 4462])).
% 0.60/0.85 tff(4464,plain,
% 0.60/0.85 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4463])).
% 0.60/0.85 tff(4465,assumption,(i40 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.60/0.85 tff(4466,plain,
% 0.60/0.85 ((i38 = i40) <=> (i38 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4465])).
% 0.60/0.85 tff(4467,plain,
% 0.60/0.85 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i40)),
% 0.60/0.85 inference(symmetry,[status(thm)],[4466])).
% 0.60/0.85 tff(4468,plain,
% 0.60/0.85 (i38 = i40),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4437, 4467])).
% 0.60/0.85 tff(4469,plain,
% 0.60/0.85 ((~(i38 = i40)) <=> (~(i38 = i40))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4470,axiom,(~(i38 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp179')).
% 0.60/0.85 tff(4471,plain,
% 0.60/0.85 (~(i38 = i40)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4470, 4469])).
% 0.60/0.85 tff(4472,plain,
% 0.60/0.85 ($false),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[4471, 4468])).
% 0.60/0.85 tff(4473,plain,((~(i40 = sk(a_1800, a_1850))) | (~(i38 = sk(a_1800, a_1850)))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.85 tff(4474,plain,
% 0.60/0.85 (~(i40 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[4473, 4437])).
% 0.60/0.85 tff(4475,plain,
% 0.60/0.85 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[802, 4474])).
% 0.60/0.85 tff(4476,plain,
% 0.60/0.85 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4475])).
% 0.60/0.85 tff(4477,plain,
% 0.60/0.85 ((i38 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4478,plain,
% 0.60/0.85 ((i38 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(transitivity,[status(thm)],[4477, 769])).
% 0.60/0.85 tff(4479,plain,
% 0.60/0.85 ((~(i38 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4478])).
% 0.60/0.85 tff(4480,plain,
% 0.60/0.85 ((~(i38 = i39)) <=> (~(i38 = i39))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4481,axiom,(~(i38 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp180')).
% 0.60/0.85 tff(4482,plain,
% 0.60/0.85 (~(i38 = i39)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4481, 4480])).
% 0.60/0.85 tff(4483,plain,
% 0.60/0.85 (~(i39 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4482, 4479])).
% 0.60/0.85 tff(4484,plain,
% 0.60/0.85 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[779, 17, 4483])).
% 0.60/0.85 tff(4485,plain,
% 0.60/0.85 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4484])).
% 0.60/0.85 tff(4486,plain,
% 0.60/0.85 (select(store(store(a_1786, i37, e37), i38, e38), i38) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[766, 4437])).
% 0.60/0.85 tff(4487,plain,
% 0.60/0.85 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1786, i37, e37), i38, e38), i38) = e38)),
% 0.60/0.85 inference(quant_inst,[status(thm)],[])).
% 0.60/0.85 tff(4488,plain,
% 0.60/0.85 (select(store(store(a_1786, i37, e37), i38, e38), i38) = e38),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[4487, 47])).
% 0.60/0.85 tff(4489,plain,
% 0.60/0.85 (e38 = select(store(store(a_1786, i37, e37), i38, e38), i38)),
% 0.60/0.85 inference(symmetry,[status(thm)],[4488])).
% 0.60/0.85 tff(4490,plain,
% 0.60/0.85 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1829, i44, e44), i38, e38), i38) = e38)),
% 0.60/0.85 inference(quant_inst,[status(thm)],[])).
% 0.60/0.85 tff(4491,plain,
% 0.60/0.85 (select(store(store(a_1829, i44, e44), i38, e38), i38) = e38),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[4490, 47])).
% 0.60/0.85 tff(4492,plain,
% 0.60/0.85 (sk(a_1800, a_1850) = i38),
% 0.60/0.85 inference(symmetry,[status(thm)],[4437])).
% 0.60/0.85 tff(4493,plain,
% 0.60/0.85 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), i38)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4492])).
% 0.60/0.85 tff(4494,plain,
% 0.60/0.85 (store(a_1830, i38, e38) = store(store(a_1829, i44, e44), i38, e38)),
% 0.60/0.85 inference(symmetry,[status(thm)],[1374])).
% 0.60/0.85 tff(4495,plain,
% 0.60/0.85 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4494])).
% 0.60/0.85 tff(4496,plain,
% 0.60/0.85 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = e_1852),
% 0.60/0.85 inference(transitivity,[status(thm)],[4495, 4493, 4491, 4489, 4486, 4485, 786, 4476, 809, 4464, 828, 4455, 847, 4446, 866, 4376, 885, 3861, 904, 3858, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.60/0.85 tff(4497,plain,
% 0.60/0.85 ((i12 = i38) <=> (i12 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4498,plain,
% 0.60/0.85 ((~(i12 = i38)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4497])).
% 0.60/0.85 tff(4499,plain,
% 0.60/0.85 ((~(i12 = i38)) <=> (~(i12 = i38))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4500,axiom,(~(i12 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp818')).
% 0.60/0.85 tff(4501,plain,
% 0.60/0.85 (~(i12 = i38)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 0.60/0.85 tff(4502,plain,
% 0.60/0.85 (~(i12 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4501, 4498])).
% 0.60/0.85 tff(4503,plain,
% 0.60/0.85 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1166, 4502])).
% 0.60/0.85 tff(4504,plain,
% 0.60/0.85 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4503])).
% 0.60/0.85 tff(4505,plain,
% 0.60/0.85 ((i10 = i38) <=> (i10 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4506,plain,
% 0.60/0.85 ((~(i10 = i38)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4505])).
% 0.60/0.85 tff(4507,plain,
% 0.60/0.85 ((~(i10 = i38)) <=> (~(i10 = i38))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4508,axiom,(~(i10 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp895')).
% 0.60/0.85 tff(4509,plain,
% 0.60/0.85 (~(i10 = i38)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4508, 4507])).
% 0.60/0.85 tff(4510,plain,
% 0.60/0.85 (~(i10 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4509, 4506])).
% 0.60/0.85 tff(4511,plain,
% 0.60/0.85 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1260, 17, 4510])).
% 0.60/0.85 tff(4512,plain,
% 0.60/0.85 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4511])).
% 0.60/0.85 tff(4513,plain,
% 0.60/0.85 ((i2 = i38) <=> (i2 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4514,plain,
% 0.60/0.85 ((~(i2 = i38)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4513])).
% 0.60/0.85 tff(4515,plain,
% 0.60/0.85 ((~(i2 = i38)) <=> (~(i2 = i38))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4516,axiom,(~(i2 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1243')).
% 0.60/0.85 tff(4517,plain,
% 0.60/0.85 (~(i2 = i38)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 0.60/0.85 tff(4518,plain,
% 0.60/0.85 (~(i2 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4517, 4514])).
% 0.60/0.85 tff(4519,plain,
% 0.60/0.85 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1279, 17, 4518])).
% 0.60/0.85 tff(4520,plain,
% 0.60/0.85 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4519])).
% 0.60/0.85 tff(4521,plain,
% 0.60/0.85 ((i25 = i38) <=> (i25 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4522,plain,
% 0.60/0.85 ((~(i25 = i38)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4521])).
% 0.60/0.85 tff(4523,plain,
% 0.60/0.85 ((~(i25 = i38)) <=> (~(i25 = i38))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4524,axiom,(~(i25 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp415')).
% 0.60/0.85 tff(4525,plain,
% 0.60/0.85 (~(i25 = i38)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 0.60/0.85 tff(4526,plain,
% 0.60/0.85 (~(i25 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4525, 4522])).
% 0.60/0.85 tff(4527,plain,
% 0.60/0.85 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1347, 17, 4526])).
% 0.60/0.85 tff(4528,plain,
% 0.60/0.85 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4527])).
% 0.60/0.85 tff(4529,plain,
% 0.60/0.85 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.85 inference(transitivity,[status(thm)],[1356, 4528, 1337, 3930, 1318, 3928, 1299, 1293, 1288, 4520, 1269, 4512, 1250, 2675, 1231, 4404, 1212, 3982, 1193, 3894, 1174, 4504, 1155, 2504, 1136, 3876, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.60/0.85 tff(4530,plain,
% 0.60/0.85 ((select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4529, 4496])).
% 0.60/0.85 tff(4531,plain,
% 0.60/0.85 ((select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.60/0.85 inference(transitivity,[status(thm)],[4530, 1])).
% 0.60/0.85 tff(4532,plain,
% 0.60/0.85 ((e_1852 = e_1853) <=> (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4531])).
% 0.60/0.85 tff(4533,plain,
% 0.60/0.85 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4532])).
% 0.60/0.85 tff(4534,plain,
% 0.60/0.85 (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[999, 4533])).
% 0.60/0.85 tff(4535,plain,
% 0.60/0.85 ((i23 = i38) <=> (i23 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4437])).
% 0.60/0.85 tff(4536,plain,
% 0.60/0.85 ((~(i23 = i38)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4535])).
% 0.60/0.85 tff(4537,plain,
% 0.60/0.85 ((~(i23 = i38)) <=> (~(i23 = i38))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4538,axiom,(~(i23 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp466')).
% 0.60/0.85 tff(4539,plain,
% 0.60/0.85 (~(i23 = i38)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 0.60/0.85 tff(4540,plain,
% 0.60/0.85 (~(i23 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4539, 4536])).
% 0.60/0.85 tff(4541,plain,
% 0.60/0.85 ($false),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1366, 17, 4540, 4534])).
% 0.60/0.85 tff(4542,plain,((~(i38 = sk(a_1800, a_1850))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.85 tff(4543,plain,
% 0.60/0.85 (~(i38 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[4542, 2503, 1775, 1774, 1035, 3854, 11, 3855, 2900])).
% 0.60/0.85 tff(4544,plain,
% 0.60/0.85 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1385, 17, 4543])).
% 0.60/0.85 tff(4545,plain,
% 0.60/0.85 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4544])).
% 0.60/0.85 tff(4546,plain,
% 0.60/0.85 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1404, 17, 4374])).
% 0.60/0.85 tff(4547,plain,
% 0.60/0.85 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4546])).
% 0.60/0.85 tff(4548,plain,
% 0.60/0.85 ((i36 = i42) <=> (i36 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4549,plain,
% 0.60/0.85 ((~(i36 = i42)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4548])).
% 0.60/0.85 tff(4550,plain,
% 0.60/0.85 ((~(i36 = i42)) <=> (~(i36 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4551,axiom,(~(i36 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp202')).
% 0.60/0.85 tff(4552,plain,
% 0.60/0.85 (~(i36 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 0.60/0.85 tff(4553,plain,
% 0.60/0.85 (~(i36 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4552, 4549])).
% 0.60/0.85 tff(4554,plain,
% 0.60/0.85 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1423, 17, 4553])).
% 0.60/0.85 tff(4555,plain,
% 0.60/0.85 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4554])).
% 0.60/0.85 tff(4556,plain,
% 0.60/0.85 ((i11 = i42) <=> (i11 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4557,plain,
% 0.60/0.85 ((~(i11 = i42)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4556])).
% 0.60/0.85 tff(4558,plain,
% 0.60/0.85 ((~(i11 = i42)) <=> (~(i11 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4559,axiom,(~(i11 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp852')).
% 0.60/0.85 tff(4560,plain,
% 0.60/0.85 (~(i11 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 0.60/0.85 tff(4561,plain,
% 0.60/0.85 (~(i11 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4560, 4557])).
% 0.60/0.85 tff(4562,plain,
% 0.60/0.85 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1442, 17, 4561])).
% 0.60/0.85 tff(4563,plain,
% 0.60/0.85 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4562])).
% 0.60/0.85 tff(4564,plain,
% 0.60/0.85 ((i34 = i42) <=> (i34 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4565,plain,
% 0.60/0.85 ((~(i34 = i42)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4564])).
% 0.60/0.85 tff(4566,plain,
% 0.60/0.85 ((~(i34 = i42)) <=> (~(i34 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4567,axiom,(~(i34 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp231')).
% 0.60/0.85 tff(4568,plain,
% 0.60/0.85 (~(i34 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 0.60/0.85 tff(4569,plain,
% 0.60/0.85 (~(i34 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4568, 4565])).
% 0.60/0.85 tff(4570,plain,
% 0.60/0.85 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1461, 17, 4569])).
% 0.60/0.85 tff(4571,plain,
% 0.60/0.85 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4570])).
% 0.60/0.85 tff(4572,plain,
% 0.60/0.85 ((i26 = i42) <=> (i26 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.60/0.85 tff(4573,plain,
% 0.60/0.85 ((~(i26 = i42)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.60/0.85 inference(monotonicity,[status(thm)],[4572])).
% 0.60/0.85 tff(4574,plain,
% 0.60/0.85 ((~(i26 = i42)) <=> (~(i26 = i42))),
% 0.60/0.85 inference(rewrite,[status(thm)],[])).
% 0.60/0.85 tff(4575,axiom,(~(i26 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp387')).
% 0.60/0.85 tff(4576,plain,
% 0.60/0.85 (~(i26 = i42)),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 0.60/0.85 tff(4577,plain,
% 0.60/0.85 (~(i26 = sk(a_1800, a_1850))),
% 0.60/0.85 inference(modus_ponens,[status(thm)],[4576, 4573])).
% 0.60/0.85 tff(4578,plain,
% 0.60/0.85 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.60/0.85 inference(unit_resolution,[status(thm)],[1480, 17, 4577])).
% 0.60/0.85 tff(4579,plain,
% 0.60/0.85 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.60/0.85 inference(symmetry,[status(thm)],[4578])).
% 0.60/0.85 tff(4580,plain,
% 0.60/0.85 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = e_1853),
% 0.60/0.85 inference(transitivity,[status(thm)],[1489, 4579, 1470, 4571, 1451, 4563, 1432, 4555, 1413, 4547, 1394, 4545, 1375, 4436, 1356, 4428, 1337, 3930, 1318, 3928, 1299, 1293, 1288, 4420, 1269, 4412, 1250, 2675, 1231, 4404, 1212, 3982, 1193, 3894, 1174, 4401, 1155, 2504, 1136, 3876, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.69/0.85 tff(4581,plain,
% 0.69/0.85 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.69/0.85 inference(monotonicity,[status(thm)],[4580, 4393])).
% 0.69/0.85 tff(4582,plain,
% 0.69/0.85 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.69/0.85 inference(transitivity,[status(thm)],[4581, 1])).
% 0.69/0.85 tff(4583,plain,
% 0.69/0.85 ((e_1852 = e_1853) <=> (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.69/0.85 inference(symmetry,[status(thm)],[4582])).
% 0.69/0.85 tff(4584,plain,
% 0.69/0.85 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))),
% 0.69/0.85 inference(monotonicity,[status(thm)],[4583])).
% 0.69/0.85 tff(4585,plain,
% 0.69/0.85 (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[999, 4584])).
% 0.69/0.85 tff(4586,plain,
% 0.69/0.85 ((i18 = i42) <=> (i18 = sk(a_1800, a_1850))),
% 0.69/0.85 inference(monotonicity,[status(thm)],[4377])).
% 0.69/0.85 tff(4587,plain,
% 0.69/0.85 ((~(i18 = i42)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.69/0.85 inference(monotonicity,[status(thm)],[4586])).
% 0.69/0.85 tff(4588,plain,
% 0.69/0.85 ((~(i18 = i42)) <=> (~(i18 = i42))),
% 0.69/0.85 inference(rewrite,[status(thm)],[])).
% 0.69/0.85 tff(4589,axiom,(~(i18 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp607')).
% 0.69/0.85 tff(4590,plain,
% 0.69/0.85 (~(i18 = i42)),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 0.69/0.85 tff(4591,plain,
% 0.69/0.85 (~(i18 = sk(a_1800, a_1850))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[4590, 4587])).
% 0.69/0.85 tff(4592,plain,
% 0.69/0.85 ($false),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[1499, 17, 4591, 4585])).
% 0.69/0.85 tff(4593,plain,((~(i42 = sk(a_1800, a_1850))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.85 tff(4594,plain,
% 0.69/0.85 (~(i42 = sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[4593, 4101, 4373, 3386, 2578, 2904, 3854, 11, 3855, 2900])).
% 0.69/0.85 tff(4595,plain,
% 0.69/0.85 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[1876, 4594])).
% 0.69/0.85 tff(4596,plain,
% 0.69/0.85 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[802, 797])).
% 0.69/0.85 tff(4597,plain,
% 0.69/0.85 (~(i38 = sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[4542, 4373, 3386, 2578, 2904, 3854, 11, 3855, 2900])).
% 0.69/0.85 tff(4598,plain,
% 0.69/0.85 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[760, 4597])).
% 0.69/0.85 tff(4599,plain,
% 0.69/0.85 (~(i5 = sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[4371, 580, 2518, 1764, 1776, 1756, 1740, 983, 2577, 1035, 3854, 2900])).
% 0.69/0.85 tff(4600,plain,
% 0.69/0.85 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[1147, 4599])).
% 0.69/0.85 tff(4601,plain,
% 0.69/0.86 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.69/0.86 inference(symmetry,[status(thm)],[4600])).
% 0.69/0.86 tff(4602,plain,
% 0.69/0.86 (store(a_1842, i12, e12) = store(store(a_1841, i37, e37), i12, e12)),
% 0.69/0.86 inference(symmetry,[status(thm)],[1154])).
% 0.69/0.86 tff(4603,plain,
% 0.69/0.86 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4602])).
% 0.69/0.86 tff(4604,plain,
% 0.69/0.86 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.69/0.86 inference(symmetry,[status(thm)],[4603])).
% 0.69/0.86 tff(4605,assumption,(i12 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.69/0.86 tff(4606,plain,
% 0.69/0.86 (sk(a_1800, a_1850) = i12),
% 0.69/0.86 inference(symmetry,[status(thm)],[4605])).
% 0.69/0.86 tff(4607,plain,
% 0.69/0.86 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), i12)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4606])).
% 0.69/0.86 tff(4608,plain,
% 0.69/0.86 (select(store(store(a_1841, i37, e37), i12, e12), i12) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.69/0.86 inference(symmetry,[status(thm)],[4607])).
% 0.69/0.86 tff(4609,plain,
% 0.69/0.86 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1841, i37, e37), i12, e12), i12) = e12)),
% 0.69/0.86 inference(quant_inst,[status(thm)],[])).
% 0.69/0.86 tff(4610,plain,
% 0.69/0.86 (select(store(store(a_1841, i37, e37), i12, e12), i12) = e12),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[4609, 47])).
% 0.69/0.86 tff(4611,plain,
% 0.69/0.86 (e12 = select(store(store(a_1841, i37, e37), i12, e12), i12)),
% 0.69/0.86 inference(symmetry,[status(thm)],[4610])).
% 0.69/0.86 tff(4612,plain,
% 0.69/0.86 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1760, i11, e11), i12, e12), i12) = e12)),
% 0.69/0.86 inference(quant_inst,[status(thm)],[])).
% 0.69/0.86 tff(4613,plain,
% 0.69/0.86 (select(store(store(a_1760, i11, e11), i12, e12), i12) = e12),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[4612, 47])).
% 0.69/0.86 tff(4614,plain,
% 0.69/0.86 (select(store(store(a_1760, i11, e11), i12, e12), i12) = select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4615,plain,
% 0.69/0.86 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1760, i11, e11), i12, e12), i12)),
% 0.69/0.86 inference(symmetry,[status(thm)],[4614])).
% 0.69/0.86 tff(4616,plain,
% 0.69/0.86 ((i12 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4617,plain,
% 0.69/0.86 ((i12 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4616, 268])).
% 0.69/0.86 tff(4618,plain,
% 0.69/0.86 ((~(i12 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4617])).
% 0.69/0.86 tff(4619,plain,
% 0.69/0.86 ((~(i12 = i13)) <=> (~(i12 = i13))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4620,axiom,(~(i12 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp843')).
% 0.69/0.86 tff(4621,plain,
% 0.69/0.86 (~(i12 = i13)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 0.69/0.86 tff(4622,plain,
% 0.69/0.86 (~(i13 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4621, 4618])).
% 0.69/0.86 tff(4623,plain,
% 0.69/0.86 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[278, 17, 4622])).
% 0.69/0.86 tff(4624,plain,
% 0.69/0.86 ((i12 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4625,plain,
% 0.69/0.86 ((i12 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4624, 287])).
% 0.69/0.86 tff(4626,plain,
% 0.69/0.86 ((~(i12 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4625])).
% 0.69/0.86 tff(4627,plain,
% 0.69/0.86 ((~(i12 = i14)) <=> (~(i12 = i14))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4628,axiom,(~(i12 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp842')).
% 0.69/0.86 tff(4629,plain,
% 0.69/0.86 (~(i12 = i14)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 0.69/0.86 tff(4630,plain,
% 0.69/0.86 (~(i14 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4629, 4626])).
% 0.69/0.86 tff(4631,plain,
% 0.69/0.86 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[297, 17, 4630])).
% 0.69/0.86 tff(4632,plain,
% 0.69/0.86 ((i12 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4633,plain,
% 0.69/0.86 ((i12 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4632, 306])).
% 0.69/0.86 tff(4634,plain,
% 0.69/0.86 ((~(i12 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4633])).
% 0.69/0.86 tff(4635,plain,
% 0.69/0.86 ((~(i12 = i15)) <=> (~(i12 = i15))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4636,axiom,(~(i12 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp841')).
% 0.69/0.86 tff(4637,plain,
% 0.69/0.86 (~(i12 = i15)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 0.69/0.86 tff(4638,plain,
% 0.69/0.86 (~(i15 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4637, 4634])).
% 0.69/0.86 tff(4639,plain,
% 0.69/0.86 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[316, 17, 4638])).
% 0.69/0.86 tff(4640,plain,
% 0.69/0.86 ((i12 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4641,plain,
% 0.69/0.86 ((i12 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4640, 325])).
% 0.69/0.86 tff(4642,plain,
% 0.69/0.86 ((~(i12 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4641])).
% 0.69/0.86 tff(4643,plain,
% 0.69/0.86 ((~(i12 = i16)) <=> (~(i12 = i16))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4644,axiom,(~(i12 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp840')).
% 0.69/0.86 tff(4645,plain,
% 0.69/0.86 (~(i12 = i16)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 0.69/0.86 tff(4646,plain,
% 0.69/0.86 (~(i16 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4645, 4642])).
% 0.69/0.86 tff(4647,plain,
% 0.69/0.86 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[335, 17, 4646])).
% 0.69/0.86 tff(4648,plain,
% 0.69/0.86 ((i12 = i17) <=> (sk(a_1800, a_1850) = i17)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4649,plain,
% 0.69/0.86 ((i12 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4648, 344])).
% 0.69/0.86 tff(4650,plain,
% 0.69/0.86 ((~(i12 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4649])).
% 0.69/0.86 tff(4651,plain,
% 0.69/0.86 ((~(i12 = i17)) <=> (~(i12 = i17))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4652,axiom,(~(i12 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp839')).
% 0.69/0.86 tff(4653,plain,
% 0.69/0.86 (~(i12 = i17)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 0.69/0.86 tff(4654,plain,
% 0.69/0.86 (~(i17 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4653, 4650])).
% 0.69/0.86 tff(4655,plain,
% 0.69/0.86 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[354, 17, 4654])).
% 0.69/0.86 tff(4656,plain,
% 0.69/0.86 ((i12 = i18) <=> (sk(a_1800, a_1850) = i18)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4657,plain,
% 0.69/0.86 ((i12 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4656, 363])).
% 0.69/0.86 tff(4658,plain,
% 0.69/0.86 ((~(i12 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4657])).
% 0.69/0.86 tff(4659,plain,
% 0.69/0.86 ((~(i12 = i18)) <=> (~(i12 = i18))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4660,axiom,(~(i12 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp838')).
% 0.69/0.86 tff(4661,plain,
% 0.69/0.86 (~(i12 = i18)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 0.69/0.86 tff(4662,plain,
% 0.69/0.86 (~(i18 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4661, 4658])).
% 0.69/0.86 tff(4663,plain,
% 0.69/0.86 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[373, 17, 4662])).
% 0.69/0.86 tff(4664,plain,
% 0.69/0.86 ((i12 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4665,plain,
% 0.69/0.86 ((i12 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4664, 382])).
% 0.69/0.86 tff(4666,plain,
% 0.69/0.86 ((~(i12 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4665])).
% 0.69/0.86 tff(4667,plain,
% 0.69/0.86 ((~(i12 = i19)) <=> (~(i12 = i19))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4668,axiom,(~(i12 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp837')).
% 0.69/0.86 tff(4669,plain,
% 0.69/0.86 (~(i12 = i19)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 0.69/0.86 tff(4670,plain,
% 0.69/0.86 (~(i19 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4669, 4666])).
% 0.69/0.86 tff(4671,plain,
% 0.69/0.86 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[392, 17, 4670])).
% 0.69/0.86 tff(4672,plain,
% 0.69/0.86 ((i12 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4673,plain,
% 0.69/0.86 ((i12 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4672, 401])).
% 0.69/0.86 tff(4674,plain,
% 0.69/0.86 ((~(i12 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4673])).
% 0.69/0.86 tff(4675,plain,
% 0.69/0.86 ((~(i12 = i20)) <=> (~(i12 = i20))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4676,axiom,(~(i12 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp836')).
% 0.69/0.86 tff(4677,plain,
% 0.69/0.86 (~(i12 = i20)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 0.69/0.86 tff(4678,plain,
% 0.69/0.86 (~(i20 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4677, 4674])).
% 0.69/0.86 tff(4679,plain,
% 0.69/0.86 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[411, 17, 4678])).
% 0.69/0.86 tff(4680,plain,
% 0.69/0.86 ((i12 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4681,plain,
% 0.69/0.86 ((i12 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4680, 439])).
% 0.69/0.86 tff(4682,plain,
% 0.69/0.86 ((~(i12 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4681])).
% 0.69/0.86 tff(4683,plain,
% 0.69/0.86 ((~(i12 = i22)) <=> (~(i12 = i22))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4684,axiom,(~(i12 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp834')).
% 0.69/0.86 tff(4685,plain,
% 0.69/0.86 (~(i12 = i22)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 0.69/0.86 tff(4686,plain,
% 0.69/0.86 (~(i22 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4685, 4682])).
% 0.69/0.86 tff(4687,plain,
% 0.69/0.86 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[449, 17, 4686])).
% 0.69/0.86 tff(4688,plain,
% 0.69/0.86 ((i12 = i23) <=> (sk(a_1800, a_1850) = i23)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4689,plain,
% 0.69/0.86 ((i12 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4688, 458])).
% 0.69/0.86 tff(4690,plain,
% 0.69/0.86 ((~(i12 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4689])).
% 0.69/0.86 tff(4691,plain,
% 0.69/0.86 ((~(i12 = i23)) <=> (~(i12 = i23))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4692,axiom,(~(i12 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp833')).
% 0.69/0.86 tff(4693,plain,
% 0.69/0.86 (~(i12 = i23)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 0.69/0.86 tff(4694,plain,
% 0.69/0.86 (~(i23 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4693, 4690])).
% 0.69/0.86 tff(4695,plain,
% 0.69/0.86 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[468, 17, 4694])).
% 0.69/0.86 tff(4696,plain,
% 0.69/0.86 ((i12 = i25) <=> (sk(a_1800, a_1850) = i25)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4697,plain,
% 0.69/0.86 ((i12 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4696, 495])).
% 0.69/0.86 tff(4698,plain,
% 0.69/0.86 ((~(i12 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4697])).
% 0.69/0.86 tff(4699,plain,
% 0.69/0.86 ((~(i12 = i25)) <=> (~(i12 = i25))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4700,axiom,(~(i12 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp831')).
% 0.69/0.86 tff(4701,plain,
% 0.69/0.86 (~(i12 = i25)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 0.69/0.86 tff(4702,plain,
% 0.69/0.86 (~(i25 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4701, 4698])).
% 0.69/0.86 tff(4703,plain,
% 0.69/0.86 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[505, 17, 4702])).
% 0.69/0.86 tff(4704,plain,
% 0.69/0.86 ((i12 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4705,plain,
% 0.69/0.86 ((i12 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4704, 514])).
% 0.69/0.86 tff(4706,plain,
% 0.69/0.86 ((~(i12 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4705])).
% 0.69/0.86 tff(4707,plain,
% 0.69/0.86 ((~(i12 = i26)) <=> (~(i12 = i26))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4708,axiom,(~(i12 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp830')).
% 0.69/0.86 tff(4709,plain,
% 0.69/0.86 (~(i12 = i26)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 0.69/0.86 tff(4710,plain,
% 0.69/0.86 (~(i26 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4709, 4706])).
% 0.69/0.86 tff(4711,plain,
% 0.69/0.86 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[524, 17, 4710])).
% 0.69/0.86 tff(4712,plain,
% 0.69/0.86 ((i12 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4713,plain,
% 0.69/0.86 ((i12 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4712, 533])).
% 0.69/0.86 tff(4714,plain,
% 0.69/0.86 ((~(i12 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4713])).
% 0.69/0.86 tff(4715,plain,
% 0.69/0.86 ((~(i12 = i27)) <=> (~(i12 = i27))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4716,axiom,(~(i12 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp829')).
% 0.69/0.86 tff(4717,plain,
% 0.69/0.86 (~(i12 = i27)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4716, 4715])).
% 0.69/0.86 tff(4718,plain,
% 0.69/0.86 (~(i27 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4717, 4714])).
% 0.69/0.86 tff(4719,plain,
% 0.69/0.86 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[543, 17, 4718])).
% 0.69/0.86 tff(4720,plain,
% 0.69/0.86 ((i12 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4721,plain,
% 0.69/0.86 ((i12 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4720, 552])).
% 0.69/0.86 tff(4722,plain,
% 0.69/0.86 ((~(i12 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4721])).
% 0.69/0.86 tff(4723,plain,
% 0.69/0.86 ((~(i12 = i28)) <=> (~(i12 = i28))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4724,axiom,(~(i12 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp828')).
% 0.69/0.86 tff(4725,plain,
% 0.69/0.86 (~(i12 = i28)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4724, 4723])).
% 0.69/0.86 tff(4726,plain,
% 0.69/0.86 (~(i28 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4725, 4722])).
% 0.69/0.86 tff(4727,plain,
% 0.69/0.86 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[562, 17, 4726])).
% 0.69/0.86 tff(4728,plain,
% 0.69/0.86 ((i12 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4729,plain,
% 0.69/0.86 ((i12 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4728, 594])).
% 0.69/0.86 tff(4730,plain,
% 0.69/0.86 ((~(i12 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4729])).
% 0.69/0.86 tff(4731,plain,
% 0.69/0.86 ((~(i12 = i30)) <=> (~(i12 = i30))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4732,axiom,(~(i12 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp826')).
% 0.69/0.86 tff(4733,plain,
% 0.69/0.86 (~(i12 = i30)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4732, 4731])).
% 0.69/0.86 tff(4734,plain,
% 0.69/0.86 (~(i30 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4733, 4730])).
% 0.69/0.86 tff(4735,plain,
% 0.69/0.86 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[604, 17, 4734])).
% 0.69/0.86 tff(4736,plain,
% 0.69/0.86 ((i12 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4737,plain,
% 0.69/0.86 ((i12 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4736, 651])).
% 0.69/0.86 tff(4738,plain,
% 0.69/0.86 ((~(i12 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4737])).
% 0.69/0.86 tff(4739,plain,
% 0.69/0.86 ((~(i12 = i33)) <=> (~(i12 = i33))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4740,axiom,(~(i12 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp823')).
% 0.69/0.86 tff(4741,plain,
% 0.69/0.86 (~(i12 = i33)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 0.69/0.86 tff(4742,plain,
% 0.69/0.86 (~(i33 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4741, 4738])).
% 0.69/0.86 tff(4743,plain,
% 0.69/0.86 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[661, 17, 4742])).
% 0.69/0.86 tff(4744,plain,
% 0.69/0.86 ((i12 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4745,plain,
% 0.69/0.86 ((i12 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4744, 670])).
% 0.69/0.86 tff(4746,plain,
% 0.69/0.86 ((~(i12 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4745])).
% 0.69/0.86 tff(4747,plain,
% 0.69/0.86 ((~(i12 = i34)) <=> (~(i12 = i34))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4748,axiom,(~(i12 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp822')).
% 0.69/0.86 tff(4749,plain,
% 0.69/0.86 (~(i12 = i34)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4748, 4747])).
% 0.69/0.86 tff(4750,plain,
% 0.69/0.86 (~(i34 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4749, 4746])).
% 0.69/0.86 tff(4751,plain,
% 0.69/0.86 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[680, 17, 4750])).
% 0.69/0.86 tff(4752,plain,
% 0.69/0.86 ((i12 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4753,plain,
% 0.69/0.86 ((i12 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4752, 708])).
% 0.69/0.86 tff(4754,plain,
% 0.69/0.86 ((~(i12 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4753])).
% 0.69/0.86 tff(4755,plain,
% 0.69/0.86 ((~(i12 = i36)) <=> (~(i12 = i36))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4756,axiom,(~(i12 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp820')).
% 0.69/0.86 tff(4757,plain,
% 0.69/0.86 (~(i12 = i36)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4756, 4755])).
% 0.69/0.86 tff(4758,plain,
% 0.69/0.86 (~(i36 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4757, 4754])).
% 0.69/0.86 tff(4759,plain,
% 0.69/0.86 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[718, 17, 4758])).
% 0.69/0.86 tff(4760,assumption,(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.86 tff(4761,plain,
% 0.69/0.86 ((i12 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4762,plain,
% 0.69/0.86 ((i12 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4761, 769])).
% 0.69/0.86 tff(4763,plain,
% 0.69/0.86 ((~(i12 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4762])).
% 0.69/0.86 tff(4764,plain,
% 0.69/0.86 ((~(i12 = i39)) <=> (~(i12 = i39))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4765,axiom,(~(i12 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp817')).
% 0.69/0.86 tff(4766,plain,
% 0.69/0.86 (~(i12 = i39)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 0.69/0.86 tff(4767,plain,
% 0.69/0.86 (~(i39 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4766, 4763])).
% 0.69/0.86 tff(4768,plain,
% 0.69/0.86 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[779, 17, 4767])).
% 0.69/0.86 tff(4769,assumption,(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.86 tff(4770,plain,
% 0.69/0.86 ((i12 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4771,plain,
% 0.69/0.86 ((i12 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4770, 811])).
% 0.69/0.86 tff(4772,plain,
% 0.69/0.86 ((~(i12 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4771])).
% 0.69/0.86 tff(4773,plain,
% 0.69/0.86 ((~(i12 = i41)) <=> (~(i12 = i41))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4774,axiom,(~(i12 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp815')).
% 0.69/0.86 tff(4775,plain,
% 0.69/0.86 (~(i12 = i41)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 0.69/0.86 tff(4776,plain,
% 0.69/0.86 (~(i41 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4775, 4772])).
% 0.69/0.86 tff(4777,plain,
% 0.69/0.86 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[821, 17, 4776])).
% 0.69/0.86 tff(4778,assumption,(~(i42 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.86 tff(4779,plain,
% 0.69/0.86 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[840, 17, 4778])).
% 0.69/0.86 tff(4780,plain,
% 0.69/0.86 ((i12 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4605])).
% 0.69/0.86 tff(4781,plain,
% 0.69/0.86 ((i12 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(transitivity,[status(thm)],[4780, 849])).
% 0.69/0.86 tff(4782,plain,
% 0.69/0.86 ((~(i12 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.69/0.86 inference(monotonicity,[status(thm)],[4781])).
% 0.69/0.86 tff(4783,plain,
% 0.69/0.86 ((~(i12 = i43)) <=> (~(i12 = i43))),
% 0.69/0.86 inference(rewrite,[status(thm)],[])).
% 0.69/0.86 tff(4784,axiom,(~(i12 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp813')).
% 0.69/0.86 tff(4785,plain,
% 0.69/0.86 (~(i12 = i43)),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 0.69/0.86 tff(4786,plain,
% 0.69/0.86 (~(i43 = sk(a_1800, a_1850))),
% 0.69/0.86 inference(modus_ponens,[status(thm)],[4785, 4782])).
% 0.69/0.86 tff(4787,plain,
% 0.69/0.86 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[1864, 4786])).
% 0.69/0.86 tff(4788,plain,
% 0.69/0.86 (e_1852 = e_1853),
% 0.69/0.86 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 4787, 848, 4779, 829, 4777, 810, 4769, 787, 4768, 768, 4760, 745, 4048, 726, 4759, 707, 4059, 688, 4751, 669, 4743, 650, 4296, 631, 2283, 612, 4735, 593, 4287, 570, 4727, 551, 4719, 532, 4711, 513, 4703, 494, 3169, 476, 4695, 457, 4687, 438, 3195, 419, 4679, 400, 4671, 381, 4663, 362, 4655, 343, 4647, 324, 4639, 305, 4631, 286, 4623, 267, 4615, 4613, 4611, 4608, 4604, 4601, 3853, 4107, 3390, 4104, 2928, 2944, 2920, 2917, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.69/0.86 tff(4789,plain,
% 0.69/0.86 ($false),
% 0.69/0.86 inference(unit_resolution,[status(thm)],[999, 4788])).
% 0.69/0.86 tff(4790,plain,((~(i12 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i21 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.87 tff(4791,plain,
% 0.69/0.87 (~(i12 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[4790, 4594, 4598, 4596, 3962, 3847, 2930, 2922, 2910, 22, 2577, 4095, 3854, 2900, 2904])).
% 0.69/0.87 tff(4792,plain,
% 0.69/0.87 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1166, 4791])).
% 0.69/0.87 tff(4793,assumption,(i41 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.69/0.87 tff(4794,plain,
% 0.69/0.87 (sk(a_1800, a_1850) = i41),
% 0.69/0.87 inference(symmetry,[status(thm)],[4793])).
% 0.69/0.87 tff(4795,plain,
% 0.69/0.87 ((i30 = sk(a_1800, a_1850)) <=> (i30 = i41)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.87 tff(4796,plain,
% 0.69/0.87 ((i30 = i41) <=> (i30 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4795])).
% 0.69/0.87 tff(4797,plain,
% 0.69/0.87 ((~(i30 = i41)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4796])).
% 0.69/0.87 tff(4798,plain,
% 0.69/0.87 ((~(i30 = i41)) <=> (~(i30 = i41))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4799,axiom,(~(i30 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp302')).
% 0.69/0.87 tff(4800,plain,
% 0.69/0.87 (~(i30 = i41)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 0.69/0.87 tff(4801,plain,
% 0.69/0.87 (~(i30 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4800, 4797])).
% 0.69/0.87 tff(4802,plain,
% 0.69/0.87 (~(i45 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[3845, 1775, 1774, 1035, 3401, 11])).
% 0.69/0.87 tff(4803,plain,
% 0.69/0.87 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1841, 4802])).
% 0.69/0.87 tff(4804,plain,
% 0.69/0.87 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4803])).
% 0.69/0.87 tff(4805,assumption,(~(i44 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.87 tff(4806,plain,
% 0.69/0.87 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1772, 4805])).
% 0.69/0.87 tff(4807,plain,
% 0.69/0.87 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4806])).
% 0.69/0.87 tff(4808,assumption,(i43 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.69/0.87 tff(4809,plain,
% 0.69/0.87 (sk(a_1800, a_1850) = i43),
% 0.69/0.87 inference(symmetry,[status(thm)],[4808])).
% 0.69/0.87 tff(4810,plain,
% 0.69/0.87 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4811,plain,
% 0.69/0.87 ((i28 = i43) <=> (i28 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4810])).
% 0.69/0.87 tff(4812,plain,
% 0.69/0.87 ((~(i28 = i43)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4811])).
% 0.69/0.87 tff(4813,plain,
% 0.69/0.87 ((~(i28 = i43)) <=> (~(i28 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4814,axiom,(~(i28 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp341')).
% 0.69/0.87 tff(4815,plain,
% 0.69/0.87 (~(i28 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4814, 4813])).
% 0.69/0.87 tff(4816,plain,
% 0.69/0.87 (~(i28 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4815, 4812])).
% 0.69/0.87 tff(4817,plain,
% 0.69/0.87 (select(store(store(a_1791, i42, e42), i43, e43), i43) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[865, 4808])).
% 0.69/0.87 tff(4818,plain,
% 0.69/0.87 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1791, i42, e42), i43, e43), i43) = e43)),
% 0.69/0.87 inference(quant_inst,[status(thm)],[])).
% 0.69/0.87 tff(4819,plain,
% 0.69/0.87 (select(store(store(a_1791, i42, e42), i43, e43), i43) = e43),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[4818, 47])).
% 0.69/0.87 tff(4820,plain,
% 0.69/0.87 (e43 = select(store(store(a_1791, i42, e42), i43, e43), i43)),
% 0.69/0.87 inference(symmetry,[status(thm)],[4819])).
% 0.69/0.87 tff(4821,plain,
% 0.69/0.87 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1802, i45, e45), i43, e43), i43) = e43)),
% 0.69/0.87 inference(quant_inst,[status(thm)],[])).
% 0.69/0.87 tff(4822,plain,
% 0.69/0.87 (select(store(store(a_1802, i45, e45), i43, e43), i43) = e43),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[4821, 47])).
% 0.69/0.87 tff(4823,plain,
% 0.69/0.87 (store(a_1803, i43, e43) = store(store(a_1802, i45, e45), i43, e43)),
% 0.69/0.87 inference(symmetry,[status(thm)],[3832])).
% 0.69/0.87 tff(4824,plain,
% 0.69/0.87 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1802, i45, e45), i43, e43), i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4823, 4809])).
% 0.69/0.87 tff(4825,plain,
% 0.69/0.87 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = e_1852),
% 0.69/0.87 inference(transitivity,[status(thm)],[4824, 4822, 4820, 4817, 4807, 885, 4804, 904, 3403, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.69/0.87 tff(4826,plain,
% 0.69/0.87 ((i37 = i43) <=> (i37 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4808])).
% 0.69/0.87 tff(4827,plain,
% 0.69/0.87 ((~(i37 = i43)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4826])).
% 0.69/0.87 tff(4828,plain,
% 0.69/0.87 (~(i37 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[2491, 4827])).
% 0.69/0.87 tff(4829,plain,
% 0.69/0.87 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1185, 4828])).
% 0.69/0.87 tff(4830,plain,
% 0.69/0.87 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4829])).
% 0.69/0.87 tff(4831,plain,
% 0.69/0.87 ((i3 = sk(a_1800, a_1850)) <=> (i3 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4832,plain,
% 0.69/0.87 ((i3 = i43) <=> (i3 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4831])).
% 0.69/0.87 tff(4833,plain,
% 0.69/0.87 ((~(i3 = i43)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4832])).
% 0.69/0.87 tff(4834,plain,
% 0.69/0.87 ((~(i3 = i43)) <=> (~(i3 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4835,axiom,(~(i3 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1191')).
% 0.69/0.87 tff(4836,plain,
% 0.69/0.87 (~(i3 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4835, 4834])).
% 0.69/0.87 tff(4837,plain,
% 0.69/0.87 (~(i3 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4836, 4833])).
% 0.69/0.87 tff(4838,plain,
% 0.69/0.87 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1204, 4837])).
% 0.69/0.87 tff(4839,plain,
% 0.69/0.87 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4838])).
% 0.69/0.87 tff(4840,plain,
% 0.69/0.87 ((i29 = sk(a_1800, a_1850)) <=> (i29 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4841,plain,
% 0.69/0.87 ((i29 = i43) <=> (i29 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4840])).
% 0.69/0.87 tff(4842,plain,
% 0.69/0.87 ((~(i29 = i43)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4841])).
% 0.69/0.87 tff(4843,plain,
% 0.69/0.87 (~(i29 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[3999, 4842])).
% 0.69/0.87 tff(4844,plain,
% 0.69/0.87 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1223, 4843])).
% 0.69/0.87 tff(4845,plain,
% 0.69/0.87 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4844])).
% 0.69/0.87 tff(4846,plain,
% 0.69/0.87 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4847,plain,
% 0.69/0.87 ((i10 = i43) <=> (i10 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4846])).
% 0.69/0.87 tff(4848,plain,
% 0.69/0.87 ((~(i10 = i43)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4847])).
% 0.69/0.87 tff(4849,plain,
% 0.69/0.87 ((~(i10 = i43)) <=> (~(i10 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4850,axiom,(~(i10 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp890')).
% 0.69/0.87 tff(4851,plain,
% 0.69/0.87 (~(i10 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 0.69/0.87 tff(4852,plain,
% 0.69/0.87 (~(i10 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4851, 4848])).
% 0.69/0.87 tff(4853,plain,
% 0.69/0.87 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1261, 4852])).
% 0.69/0.87 tff(4854,plain,
% 0.69/0.87 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4853])).
% 0.69/0.87 tff(4855,plain,
% 0.69/0.87 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4856,plain,
% 0.69/0.87 ((i2 = i43) <=> (i2 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4855])).
% 0.69/0.87 tff(4857,plain,
% 0.69/0.87 ((~(i2 = i43)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4856])).
% 0.69/0.87 tff(4858,plain,
% 0.69/0.87 ((~(i2 = i43)) <=> (~(i2 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4859,axiom,(~(i2 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1238')).
% 0.69/0.87 tff(4860,plain,
% 0.69/0.87 (~(i2 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 0.69/0.87 tff(4861,plain,
% 0.69/0.87 (~(i2 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4860, 4857])).
% 0.69/0.87 tff(4862,plain,
% 0.69/0.87 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1280, 4861])).
% 0.69/0.87 tff(4863,plain,
% 0.69/0.87 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4862])).
% 0.69/0.87 tff(4864,plain,
% 0.69/0.87 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4865,plain,
% 0.69/0.87 ((i35 = i43) <=> (i35 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4864])).
% 0.69/0.87 tff(4866,plain,
% 0.69/0.87 ((~(i35 = i43)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4865])).
% 0.69/0.87 tff(4867,plain,
% 0.69/0.87 ((~(i35 = i43)) <=> (~(i35 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4868,axiom,(~(i35 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp215')).
% 0.69/0.87 tff(4869,plain,
% 0.69/0.87 (~(i35 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4868, 4867])).
% 0.69/0.87 tff(4870,plain,
% 0.69/0.87 (~(i35 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4869, 4866])).
% 0.69/0.87 tff(4871,plain,
% 0.69/0.87 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1310, 4870])).
% 0.69/0.87 tff(4872,plain,
% 0.69/0.87 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4871])).
% 0.69/0.87 tff(4873,plain,
% 0.69/0.87 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4874,plain,
% 0.69/0.87 ((i25 = i43) <=> (i25 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4873])).
% 0.69/0.87 tff(4875,plain,
% 0.69/0.87 ((~(i25 = i43)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4874])).
% 0.69/0.87 tff(4876,plain,
% 0.69/0.87 ((~(i25 = i43)) <=> (~(i25 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4877,axiom,(~(i25 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp410')).
% 0.69/0.87 tff(4878,plain,
% 0.69/0.87 (~(i25 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4877, 4876])).
% 0.69/0.87 tff(4879,plain,
% 0.69/0.87 (~(i25 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4878, 4875])).
% 0.69/0.87 tff(4880,plain,
% 0.69/0.87 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1348, 4879])).
% 0.69/0.87 tff(4881,plain,
% 0.69/0.87 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4880])).
% 0.69/0.87 tff(4882,plain,
% 0.69/0.87 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4883,plain,
% 0.69/0.87 ((i23 = i43) <=> (i23 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4882])).
% 0.69/0.87 tff(4884,plain,
% 0.69/0.87 ((~(i23 = i43)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4883])).
% 0.69/0.87 tff(4885,plain,
% 0.69/0.87 ((~(i23 = i43)) <=> (~(i23 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4886,axiom,(~(i23 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp461')).
% 0.69/0.87 tff(4887,plain,
% 0.69/0.87 (~(i23 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 0.69/0.87 tff(4888,plain,
% 0.69/0.87 (~(i23 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4887, 4884])).
% 0.69/0.87 tff(4889,plain,
% 0.69/0.87 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1367, 4888])).
% 0.69/0.87 tff(4890,plain,
% 0.69/0.87 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4889])).
% 0.69/0.87 tff(4891,plain,
% 0.69/0.87 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4892,plain,
% 0.69/0.87 ((i38 = i43) <=> (i38 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4891])).
% 0.69/0.87 tff(4893,plain,
% 0.69/0.87 ((~(i38 = i43)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4892])).
% 0.69/0.87 tff(4894,plain,
% 0.69/0.87 (~(i38 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4443, 4893])).
% 0.69/0.87 tff(4895,plain,
% 0.69/0.87 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1386, 4894])).
% 0.69/0.87 tff(4896,plain,
% 0.69/0.87 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4895])).
% 0.69/0.87 tff(4897,plain,
% 0.69/0.87 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1404, 17, 4805])).
% 0.69/0.87 tff(4898,plain,
% 0.69/0.87 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4897])).
% 0.69/0.87 tff(4899,plain,
% 0.69/0.87 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4900,plain,
% 0.69/0.87 ((i36 = i43) <=> (i36 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4899])).
% 0.69/0.87 tff(4901,plain,
% 0.69/0.87 ((~(i36 = i43)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4900])).
% 0.69/0.87 tff(4902,plain,
% 0.69/0.87 ((~(i36 = i43)) <=> (~(i36 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4903,axiom,(~(i36 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp201')).
% 0.69/0.87 tff(4904,plain,
% 0.69/0.87 (~(i36 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 0.69/0.87 tff(4905,plain,
% 0.69/0.87 (~(i36 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4904, 4901])).
% 0.69/0.87 tff(4906,plain,
% 0.69/0.87 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1424, 4905])).
% 0.69/0.87 tff(4907,plain,
% 0.69/0.87 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4906])).
% 0.69/0.87 tff(4908,plain,
% 0.69/0.87 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4909,plain,
% 0.69/0.87 ((i11 = i43) <=> (i11 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4908])).
% 0.69/0.87 tff(4910,plain,
% 0.69/0.87 ((~(i11 = i43)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4909])).
% 0.69/0.87 tff(4911,plain,
% 0.69/0.87 ((~(i11 = i43)) <=> (~(i11 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4912,axiom,(~(i11 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp851')).
% 0.69/0.87 tff(4913,plain,
% 0.69/0.87 (~(i11 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 0.69/0.87 tff(4914,plain,
% 0.69/0.87 (~(i11 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4913, 4910])).
% 0.69/0.87 tff(4915,plain,
% 0.69/0.87 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1443, 4914])).
% 0.69/0.87 tff(4916,plain,
% 0.69/0.87 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4915])).
% 0.69/0.87 tff(4917,plain,
% 0.69/0.87 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4918,plain,
% 0.69/0.87 ((i34 = i43) <=> (i34 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4917])).
% 0.69/0.87 tff(4919,plain,
% 0.69/0.87 ((~(i34 = i43)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4918])).
% 0.69/0.87 tff(4920,plain,
% 0.69/0.87 ((~(i34 = i43)) <=> (~(i34 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4921,axiom,(~(i34 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp230')).
% 0.69/0.87 tff(4922,plain,
% 0.69/0.87 (~(i34 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 0.69/0.87 tff(4923,plain,
% 0.69/0.87 (~(i34 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4922, 4919])).
% 0.69/0.87 tff(4924,plain,
% 0.69/0.87 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1462, 4923])).
% 0.69/0.87 tff(4925,plain,
% 0.69/0.87 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4924])).
% 0.69/0.87 tff(4926,plain,
% 0.69/0.87 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4927,plain,
% 0.69/0.87 ((i26 = i43) <=> (i26 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4926])).
% 0.69/0.87 tff(4928,plain,
% 0.69/0.87 ((~(i26 = i43)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4927])).
% 0.69/0.87 tff(4929,plain,
% 0.69/0.87 ((~(i26 = i43)) <=> (~(i26 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4930,axiom,(~(i26 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp386')).
% 0.69/0.87 tff(4931,plain,
% 0.69/0.87 (~(i26 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 0.69/0.87 tff(4932,plain,
% 0.69/0.87 (~(i26 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4931, 4928])).
% 0.69/0.87 tff(4933,plain,
% 0.69/0.87 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1481, 4932])).
% 0.69/0.87 tff(4934,plain,
% 0.69/0.87 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4933])).
% 0.69/0.87 tff(4935,plain,
% 0.69/0.87 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4936,plain,
% 0.69/0.87 ((i18 = i43) <=> (i18 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4935])).
% 0.69/0.87 tff(4937,plain,
% 0.69/0.87 ((~(i18 = i43)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4936])).
% 0.69/0.87 tff(4938,plain,
% 0.69/0.87 ((~(i18 = i43)) <=> (~(i18 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4939,axiom,(~(i18 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp606')).
% 0.69/0.87 tff(4940,plain,
% 0.69/0.87 (~(i18 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 0.69/0.87 tff(4941,plain,
% 0.69/0.87 (~(i18 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4940, 4937])).
% 0.69/0.87 tff(4942,plain,
% 0.69/0.87 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1500, 4941])).
% 0.69/0.87 tff(4943,plain,
% 0.69/0.87 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4942])).
% 0.69/0.87 tff(4944,plain,
% 0.69/0.87 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4945,plain,
% 0.69/0.87 ((i42 = i43) <=> (i42 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4944])).
% 0.69/0.87 tff(4946,plain,
% 0.69/0.87 ((~(i42 = i43)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4945])).
% 0.69/0.87 tff(4947,plain,
% 0.69/0.87 ((~(i42 = i43)) <=> (~(i42 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4948,axiom,(~(i42 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp138')).
% 0.69/0.87 tff(4949,plain,
% 0.69/0.87 (~(i42 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 0.69/0.87 tff(4950,plain,
% 0.69/0.87 (~(i42 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4949, 4946])).
% 0.69/0.87 tff(4951,plain,
% 0.69/0.87 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1538, 4950])).
% 0.69/0.87 tff(4952,plain,
% 0.69/0.87 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4951])).
% 0.69/0.87 tff(4953,plain,
% 0.69/0.87 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4954,plain,
% 0.69/0.87 ((i17 = i43) <=> (i17 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4953])).
% 0.69/0.87 tff(4955,plain,
% 0.69/0.87 ((~(i17 = i43)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4954])).
% 0.69/0.87 tff(4956,plain,
% 0.69/0.87 ((~(i17 = i43)) <=> (~(i17 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4957,axiom,(~(i17 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp638')).
% 0.69/0.87 tff(4958,plain,
% 0.69/0.87 (~(i17 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4957, 4956])).
% 0.69/0.87 tff(4959,plain,
% 0.69/0.87 (~(i17 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4958, 4955])).
% 0.69/0.87 tff(4960,plain,
% 0.69/0.87 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1557, 4959])).
% 0.69/0.87 tff(4961,plain,
% 0.69/0.87 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4960])).
% 0.69/0.87 tff(4962,plain,
% 0.69/0.87 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4963,plain,
% 0.69/0.87 ((i9 = i43) <=> (i9 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4962])).
% 0.69/0.87 tff(4964,plain,
% 0.69/0.87 ((~(i9 = i43)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4963])).
% 0.69/0.87 tff(4965,plain,
% 0.69/0.87 ((~(i9 = i43)) <=> (~(i9 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4966,axiom,(~(i9 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp930')).
% 0.69/0.87 tff(4967,plain,
% 0.69/0.87 (~(i9 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 0.69/0.87 tff(4968,plain,
% 0.69/0.87 (~(i9 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4967, 4964])).
% 0.69/0.87 tff(4969,plain,
% 0.69/0.87 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1576, 4968])).
% 0.69/0.87 tff(4970,plain,
% 0.69/0.87 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4969])).
% 0.69/0.87 tff(4971,plain,
% 0.69/0.87 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4972,plain,
% 0.69/0.87 ((i33 = i43) <=> (i33 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4971])).
% 0.69/0.87 tff(4973,plain,
% 0.69/0.87 ((~(i33 = i43)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4972])).
% 0.69/0.87 tff(4974,plain,
% 0.69/0.87 ((~(i33 = i43)) <=> (~(i33 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4975,axiom,(~(i33 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp246')).
% 0.69/0.87 tff(4976,plain,
% 0.69/0.87 (~(i33 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 0.69/0.87 tff(4977,plain,
% 0.69/0.87 (~(i33 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4976, 4973])).
% 0.69/0.87 tff(4978,plain,
% 0.69/0.87 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1595, 4977])).
% 0.69/0.87 tff(4979,plain,
% 0.69/0.87 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4978])).
% 0.69/0.87 tff(4980,plain,
% 0.69/0.87 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4981,plain,
% 0.69/0.87 ((i7 = i43) <=> (i7 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4980])).
% 0.69/0.87 tff(4982,plain,
% 0.69/0.87 ((~(i7 = i43)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4981])).
% 0.69/0.87 tff(4983,plain,
% 0.69/0.87 ((~(i7 = i43)) <=> (~(i7 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4984,axiom,(~(i7 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1013')).
% 0.69/0.87 tff(4985,plain,
% 0.69/0.87 (~(i7 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 0.69/0.87 tff(4986,plain,
% 0.69/0.87 (~(i7 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4985, 4982])).
% 0.69/0.87 tff(4987,plain,
% 0.69/0.87 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1614, 4986])).
% 0.69/0.87 tff(4988,plain,
% 0.69/0.87 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4987])).
% 0.69/0.87 tff(4989,plain,
% 0.69/0.87 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4990,plain,
% 0.69/0.87 ((i15 = i43) <=> (i15 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4989])).
% 0.69/0.87 tff(4991,plain,
% 0.69/0.87 ((~(i15 = i43)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4990])).
% 0.69/0.87 tff(4992,plain,
% 0.69/0.87 ((~(i15 = i43)) <=> (~(i15 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(4993,axiom,(~(i15 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp705')).
% 0.69/0.87 tff(4994,plain,
% 0.69/0.87 (~(i15 = i43)),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 0.69/0.87 tff(4995,plain,
% 0.69/0.87 (~(i15 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(modus_ponens,[status(thm)],[4994, 4991])).
% 0.69/0.87 tff(4996,plain,
% 0.69/0.87 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.69/0.87 inference(unit_resolution,[status(thm)],[1633, 4995])).
% 0.69/0.87 tff(4997,plain,
% 0.69/0.87 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4996])).
% 0.69/0.87 tff(4998,plain,
% 0.69/0.87 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i43)),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.87 tff(4999,plain,
% 0.69/0.87 ((i27 = i43) <=> (i27 = sk(a_1800, a_1850))),
% 0.69/0.87 inference(symmetry,[status(thm)],[4998])).
% 0.69/0.87 tff(5000,plain,
% 0.69/0.87 ((~(i27 = i43)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.69/0.87 inference(monotonicity,[status(thm)],[4999])).
% 0.69/0.87 tff(5001,plain,
% 0.69/0.87 ((~(i27 = i43)) <=> (~(i27 = i43))),
% 0.69/0.87 inference(rewrite,[status(thm)],[])).
% 0.69/0.87 tff(5002,axiom,(~(i27 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp363')).
% 0.69/0.88 tff(5003,plain,
% 0.69/0.88 (~(i27 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 0.69/0.88 tff(5004,plain,
% 0.69/0.88 (~(i27 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5003, 5000])).
% 0.69/0.88 tff(5005,plain,
% 0.69/0.88 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1652, 5004])).
% 0.69/0.88 tff(5006,plain,
% 0.69/0.88 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5005])).
% 0.69/0.88 tff(5007,plain,
% 0.69/0.88 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5008,plain,
% 0.69/0.88 ((i6 = i43) <=> (i6 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5007])).
% 0.69/0.88 tff(5009,plain,
% 0.69/0.88 ((~(i6 = i43)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5008])).
% 0.69/0.88 tff(5010,plain,
% 0.69/0.88 ((~(i6 = i43)) <=> (~(i6 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5011,axiom,(~(i6 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1056')).
% 0.69/0.88 tff(5012,plain,
% 0.69/0.88 (~(i6 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5011, 5010])).
% 0.69/0.88 tff(5013,plain,
% 0.69/0.88 (~(i6 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5012, 5009])).
% 0.69/0.88 tff(5014,plain,
% 0.69/0.88 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1671, 5013])).
% 0.69/0.88 tff(5015,plain,
% 0.69/0.88 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5014])).
% 0.69/0.88 tff(5016,plain,
% 0.69/0.88 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5017,plain,
% 0.69/0.88 ((i13 = i43) <=> (i13 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5016])).
% 0.69/0.88 tff(5018,plain,
% 0.69/0.88 ((~(i13 = i43)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5017])).
% 0.69/0.88 tff(5019,plain,
% 0.69/0.88 ((~(i13 = i43)) <=> (~(i13 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5020,axiom,(~(i13 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp776')).
% 0.69/0.88 tff(5021,plain,
% 0.69/0.88 (~(i13 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5020, 5019])).
% 0.69/0.88 tff(5022,plain,
% 0.69/0.88 (~(i13 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5021, 5018])).
% 0.69/0.88 tff(5023,plain,
% 0.69/0.88 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1690, 5022])).
% 0.69/0.88 tff(5024,plain,
% 0.69/0.88 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5023])).
% 0.69/0.88 tff(5025,plain,
% 0.69/0.88 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5026,plain,
% 0.69/0.88 ((i14 = i43) <=> (i14 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5025])).
% 0.69/0.88 tff(5027,plain,
% 0.69/0.88 ((~(i14 = i43)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5026])).
% 0.69/0.88 tff(5028,plain,
% 0.69/0.88 ((~(i14 = i43)) <=> (~(i14 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5029,axiom,(~(i14 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp740')).
% 0.69/0.88 tff(5030,plain,
% 0.69/0.88 (~(i14 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 0.69/0.88 tff(5031,plain,
% 0.69/0.88 (~(i14 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5030, 5027])).
% 0.69/0.88 tff(5032,plain,
% 0.69/0.88 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1708, 5031])).
% 0.69/0.88 tff(5033,plain,
% 0.69/0.88 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5032])).
% 0.69/0.88 tff(5034,plain,
% 0.69/0.88 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5035,plain,
% 0.69/0.88 ((i8 = i43) <=> (i8 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5034])).
% 0.69/0.88 tff(5036,plain,
% 0.69/0.88 ((~(i8 = i43)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5035])).
% 0.69/0.88 tff(5037,plain,
% 0.69/0.88 ((~(i8 = i43)) <=> (~(i8 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5038,axiom,(~(i8 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp971')).
% 0.69/0.88 tff(5039,plain,
% 0.69/0.88 (~(i8 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 0.69/0.88 tff(5040,plain,
% 0.69/0.88 (~(i8 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5039, 5036])).
% 0.69/0.88 tff(5041,plain,
% 0.69/0.88 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3692, 5040])).
% 0.69/0.88 tff(5042,plain,
% 0.69/0.88 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5041])).
% 0.69/0.88 tff(5043,plain,
% 0.69/0.88 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5044,plain,
% 0.69/0.88 ((i16 = i43) <=> (i16 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5043])).
% 0.69/0.88 tff(5045,plain,
% 0.69/0.88 ((~(i16 = i43)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5044])).
% 0.69/0.88 tff(5046,plain,
% 0.69/0.88 ((~(i16 = i43)) <=> (~(i16 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5047,axiom,(~(i16 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp671')).
% 0.69/0.88 tff(5048,plain,
% 0.69/0.88 (~(i16 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 0.69/0.88 tff(5049,plain,
% 0.69/0.88 (~(i16 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5048, 5045])).
% 0.69/0.88 tff(5050,plain,
% 0.69/0.88 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3711, 5049])).
% 0.69/0.88 tff(5051,plain,
% 0.69/0.88 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5050])).
% 0.69/0.88 tff(5052,plain,
% 0.69/0.88 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5053,plain,
% 0.69/0.88 ((i40 = i43) <=> (i40 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5052])).
% 0.69/0.88 tff(5054,plain,
% 0.69/0.88 ((~(i40 = i43)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5053])).
% 0.69/0.88 tff(5055,plain,
% 0.69/0.88 ((~(i40 = i43)) <=> (~(i40 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5056,axiom,(~(i40 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp155')).
% 0.69/0.88 tff(5057,plain,
% 0.69/0.88 (~(i40 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 0.69/0.88 tff(5058,plain,
% 0.69/0.88 (~(i40 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5057, 5054])).
% 0.69/0.88 tff(5059,plain,
% 0.69/0.88 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3730, 5058])).
% 0.69/0.88 tff(5060,plain,
% 0.69/0.88 (select(store(a_1808, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5059])).
% 0.69/0.88 tff(5061,plain,
% 0.69/0.88 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5062,plain,
% 0.69/0.88 ((i20 = i43) <=> (i20 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5061])).
% 0.69/0.88 tff(5063,plain,
% 0.69/0.88 ((~(i20 = i43)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5062])).
% 0.69/0.88 tff(5064,plain,
% 0.69/0.88 ((~(i20 = i43)) <=> (~(i20 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5065,axiom,(~(i20 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp545')).
% 0.69/0.88 tff(5066,plain,
% 0.69/0.88 (~(i20 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 0.69/0.88 tff(5067,plain,
% 0.69/0.88 (~(i20 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5066, 5063])).
% 0.69/0.88 tff(5068,plain,
% 0.69/0.88 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3749, 5067])).
% 0.69/0.88 tff(5069,plain,
% 0.69/0.88 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5068])).
% 0.69/0.88 tff(5070,plain,
% 0.69/0.88 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5071,plain,
% 0.69/0.88 ((i39 = i43) <=> (i39 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5070])).
% 0.69/0.88 tff(5072,plain,
% 0.69/0.88 ((~(i39 = i43)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5071])).
% 0.69/0.88 tff(5073,plain,
% 0.69/0.88 ((~(i39 = i43)) <=> (~(i39 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5074,axiom,(~(i39 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp165')).
% 0.69/0.88 tff(5075,plain,
% 0.69/0.88 (~(i39 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5074, 5073])).
% 0.69/0.88 tff(5076,plain,
% 0.69/0.88 (~(i39 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5075, 5072])).
% 0.69/0.88 tff(5077,plain,
% 0.69/0.88 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3768, 5076])).
% 0.69/0.88 tff(5078,plain,
% 0.69/0.88 (select(store(a_1806, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5077])).
% 0.69/0.88 tff(5079,plain,
% 0.69/0.88 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5080,plain,
% 0.69/0.88 ((i22 = i43) <=> (i22 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5079])).
% 0.69/0.88 tff(5081,plain,
% 0.69/0.88 ((~(i22 = i43)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5080])).
% 0.69/0.88 tff(5082,plain,
% 0.69/0.88 ((~(i22 = i43)) <=> (~(i22 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5083,axiom,(~(i22 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp488')).
% 0.69/0.88 tff(5084,plain,
% 0.69/0.88 (~(i22 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 0.69/0.88 tff(5085,plain,
% 0.69/0.88 (~(i22 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5084, 5081])).
% 0.69/0.88 tff(5086,plain,
% 0.69/0.88 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3787, 5085])).
% 0.69/0.88 tff(5087,plain,
% 0.69/0.88 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5086])).
% 0.69/0.88 tff(5088,plain,
% 0.69/0.88 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i43)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4809])).
% 0.69/0.88 tff(5089,plain,
% 0.69/0.88 ((i19 = i43) <=> (i19 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5088])).
% 0.69/0.88 tff(5090,plain,
% 0.69/0.88 ((~(i19 = i43)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5089])).
% 0.69/0.88 tff(5091,plain,
% 0.69/0.88 ((~(i19 = i43)) <=> (~(i19 = i43))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5092,axiom,(~(i19 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp575')).
% 0.69/0.88 tff(5093,plain,
% 0.69/0.88 (~(i19 = i43)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 0.69/0.88 tff(5094,plain,
% 0.69/0.88 (~(i19 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5093, 5090])).
% 0.69/0.88 tff(5095,plain,
% 0.69/0.88 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3806, 5094])).
% 0.69/0.88 tff(5096,plain,
% 0.69/0.88 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5095])).
% 0.69/0.88 tff(5097,plain,
% 0.69/0.88 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = e_1853),
% 0.69/0.88 inference(transitivity,[status(thm)],[3814, 5096, 3795, 5087, 3776, 5078, 3757, 5069, 3738, 5060, 3719, 5051, 3700, 5042, 3681, 3675, 3670, 5033, 1698, 5024, 1679, 5015, 1660, 5006, 1641, 4997, 1622, 4988, 1603, 4979, 1584, 4970, 1565, 4961, 1546, 4952, 1527, 3579, 1508, 4943, 1489, 4934, 1470, 4925, 1451, 4916, 1432, 4907, 1413, 4898, 1394, 4896, 1375, 4890, 1356, 4881, 1337, 3496, 1318, 4872, 1299, 1293, 1288, 4863, 1269, 4854, 1250, 2675, 1231, 4845, 1212, 4839, 1193, 4830, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.69/0.88 tff(5098,plain,
% 0.69/0.88 ((select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5097, 4825])).
% 0.69/0.88 tff(5099,plain,
% 0.69/0.88 ((select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.69/0.88 inference(transitivity,[status(thm)],[5098, 1])).
% 0.69/0.88 tff(5100,plain,
% 0.69/0.88 ((e_1852 = e_1853) <=> (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850)))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5099])).
% 0.69/0.88 tff(5101,plain,
% 0.69/0.88 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5100])).
% 0.69/0.88 tff(5102,plain,
% 0.69/0.88 (~(select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850)))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[999, 5101])).
% 0.69/0.88 tff(5103,plain,
% 0.69/0.88 ($false),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[3825, 5102, 4816])).
% 0.69/0.88 tff(5104,plain,((~(i43 = sk(a_1800, a_1850))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i44 = sk(a_1800, a_1850)) | (i46 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.88 tff(5105,plain,
% 0.69/0.88 (~(i43 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[5104, 2505, 2503, 2501, 1775, 1774, 1035, 4805, 3401, 11])).
% 0.69/0.88 tff(5106,plain,
% 0.69/0.88 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1864, 5105])).
% 0.69/0.88 tff(5107,plain,
% 0.69/0.88 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5106])).
% 0.69/0.88 tff(5108,plain,
% 0.69/0.88 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1876, 4778])).
% 0.69/0.88 tff(5109,plain,
% 0.69/0.88 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5108])).
% 0.69/0.88 tff(5110,plain,
% 0.69/0.88 (select(store(store(a_1789, i40, e40), i41, e41), i41) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[827, 4793])).
% 0.69/0.88 tff(5111,plain,
% 0.69/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1789, i40, e40), i41, e41), i41) = e41)),
% 0.69/0.88 inference(quant_inst,[status(thm)],[])).
% 0.69/0.88 tff(5112,plain,
% 0.69/0.88 (select(store(store(a_1789, i40, e40), i41, e41), i41) = e41),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[5111, 47])).
% 0.69/0.88 tff(5113,plain,
% 0.69/0.88 (e41 = select(store(store(a_1789, i40, e40), i41, e41), i41)),
% 0.69/0.88 inference(symmetry,[status(thm)],[5112])).
% 0.69/0.88 tff(5114,plain,
% 0.69/0.88 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i41, e41), i41) = e41)),
% 0.69/0.88 inference(quant_inst,[status(thm)],[])).
% 0.69/0.88 tff(5115,plain,
% 0.69/0.88 (select(store(a1, i41, e41), i41) = e41),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[5114, 47])).
% 0.69/0.88 tff(5116,plain,
% 0.69/0.88 (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(store(a1, i41, e41), i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5117,plain,
% 0.69/0.88 (select(store(a1, i41, e41), sk(a_1800, a_1850)) = e_1852),
% 0.69/0.88 inference(transitivity,[status(thm)],[5116, 5115, 5113, 5110, 5109, 847, 5107, 866, 4807, 885, 4804, 904, 3403, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.69/0.88 tff(5118,assumption,(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.88 tff(5119,plain,
% 0.69/0.88 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5118])).
% 0.69/0.88 tff(5120,assumption,(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))), introduced(assumption)).
% 0.69/0.88 tff(5121,plain,
% 0.69/0.88 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5120])).
% 0.69/0.88 tff(5122,plain,
% 0.69/0.88 ((i29 = i41) <=> (i29 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4793])).
% 0.69/0.88 tff(5123,plain,
% 0.69/0.88 ((~(i29 = i41)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5122])).
% 0.69/0.88 tff(5124,plain,
% 0.69/0.88 (~(i29 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[4017, 5123])).
% 0.69/0.88 tff(5125,plain,
% 0.69/0.88 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1223, 5124])).
% 0.69/0.88 tff(5126,plain,
% 0.69/0.88 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5125])).
% 0.69/0.88 tff(5127,plain,
% 0.69/0.88 ((i10 = sk(a_1800, a_1850)) <=> (i10 = i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5128,plain,
% 0.69/0.88 ((i10 = i41) <=> (i10 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5127])).
% 0.69/0.88 tff(5129,plain,
% 0.69/0.88 ((~(i10 = i41)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5128])).
% 0.69/0.88 tff(5130,plain,
% 0.69/0.88 ((~(i10 = i41)) <=> (~(i10 = i41))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5131,axiom,(~(i10 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp892')).
% 0.69/0.88 tff(5132,plain,
% 0.69/0.88 (~(i10 = i41)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 0.69/0.88 tff(5133,plain,
% 0.69/0.88 (~(i10 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5132, 5129])).
% 0.69/0.88 tff(5134,plain,
% 0.69/0.88 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1261, 5133])).
% 0.69/0.88 tff(5135,plain,
% 0.69/0.88 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5134])).
% 0.69/0.88 tff(5136,plain,
% 0.69/0.88 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5137,plain,
% 0.69/0.88 ((i2 = i41) <=> (i2 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5136])).
% 0.69/0.88 tff(5138,plain,
% 0.69/0.88 ((~(i2 = i41)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5137])).
% 0.69/0.88 tff(5139,plain,
% 0.69/0.88 ((~(i2 = i41)) <=> (~(i2 = i41))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5140,axiom,(~(i2 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1240')).
% 0.69/0.88 tff(5141,plain,
% 0.69/0.88 (~(i2 = i41)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 0.69/0.88 tff(5142,plain,
% 0.69/0.88 (~(i2 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5141, 5138])).
% 0.69/0.88 tff(5143,plain,
% 0.69/0.88 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1280, 5142])).
% 0.69/0.88 tff(5144,plain,
% 0.69/0.88 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5143])).
% 0.69/0.88 tff(5145,plain,
% 0.69/0.88 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5146,plain,
% 0.69/0.88 ((i35 = i41) <=> (i35 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5145])).
% 0.69/0.88 tff(5147,plain,
% 0.69/0.88 ((~(i35 = i41)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5146])).
% 0.69/0.88 tff(5148,plain,
% 0.69/0.88 ((~(i35 = i41)) <=> (~(i35 = i41))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5149,axiom,(~(i35 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp217')).
% 0.69/0.88 tff(5150,plain,
% 0.69/0.88 (~(i35 = i41)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 0.69/0.88 tff(5151,plain,
% 0.69/0.88 (~(i35 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5150, 5147])).
% 0.69/0.88 tff(5152,plain,
% 0.69/0.88 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1310, 5151])).
% 0.69/0.88 tff(5153,plain,
% 0.69/0.88 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5152])).
% 0.69/0.88 tff(5154,plain,
% 0.69/0.88 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5155,plain,
% 0.69/0.88 ((i25 = i41) <=> (i25 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5154])).
% 0.69/0.88 tff(5156,plain,
% 0.69/0.88 ((~(i25 = i41)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5155])).
% 0.69/0.88 tff(5157,plain,
% 0.69/0.88 ((~(i25 = i41)) <=> (~(i25 = i41))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5158,axiom,(~(i25 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp412')).
% 0.69/0.88 tff(5159,plain,
% 0.69/0.88 (~(i25 = i41)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 0.69/0.88 tff(5160,plain,
% 0.69/0.88 (~(i25 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5159, 5156])).
% 0.69/0.88 tff(5161,plain,
% 0.69/0.88 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1348, 5160])).
% 0.69/0.88 tff(5162,plain,
% 0.69/0.88 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5161])).
% 0.69/0.88 tff(5163,plain,
% 0.69/0.88 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i41)),
% 0.69/0.88 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.88 tff(5164,plain,
% 0.69/0.88 ((i23 = i41) <=> (i23 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5163])).
% 0.69/0.88 tff(5165,plain,
% 0.69/0.88 ((~(i23 = i41)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.69/0.88 inference(monotonicity,[status(thm)],[5164])).
% 0.69/0.88 tff(5166,plain,
% 0.69/0.88 ((~(i23 = i41)) <=> (~(i23 = i41))),
% 0.69/0.88 inference(rewrite,[status(thm)],[])).
% 0.69/0.88 tff(5167,axiom,(~(i23 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp463')).
% 0.69/0.88 tff(5168,plain,
% 0.69/0.88 (~(i23 = i41)),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 0.69/0.88 tff(5169,plain,
% 0.69/0.88 (~(i23 = sk(a_1800, a_1850))),
% 0.69/0.88 inference(modus_ponens,[status(thm)],[5168, 5165])).
% 0.69/0.88 tff(5170,plain,
% 0.69/0.88 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.69/0.88 inference(unit_resolution,[status(thm)],[1367, 5169])).
% 0.69/0.88 tff(5171,plain,
% 0.69/0.88 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.69/0.88 inference(symmetry,[status(thm)],[5170])).
% 0.69/0.88 tff(5172,plain,
% 0.69/0.88 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i41)),
% 0.69/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.89 tff(5173,plain,
% 0.69/0.89 ((i38 = i41) <=> (i38 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5172])).
% 0.69/0.89 tff(5174,plain,
% 0.69/0.89 ((~(i38 = i41)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.69/0.89 inference(monotonicity,[status(thm)],[5173])).
% 0.69/0.89 tff(5175,plain,
% 0.69/0.89 (~(i38 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[4461, 5174])).
% 0.69/0.89 tff(5176,plain,
% 0.69/0.89 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.69/0.89 inference(unit_resolution,[status(thm)],[1386, 5175])).
% 0.69/0.89 tff(5177,plain,
% 0.69/0.89 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5176])).
% 0.69/0.89 tff(5178,plain,
% 0.69/0.89 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i41)),
% 0.69/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.89 tff(5179,plain,
% 0.69/0.89 ((i36 = i41) <=> (i36 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5178])).
% 0.69/0.89 tff(5180,plain,
% 0.69/0.89 ((~(i36 = i41)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.69/0.89 inference(monotonicity,[status(thm)],[5179])).
% 0.69/0.89 tff(5181,plain,
% 0.69/0.89 ((~(i36 = i41)) <=> (~(i36 = i41))),
% 0.69/0.89 inference(rewrite,[status(thm)],[])).
% 0.69/0.89 tff(5182,axiom,(~(i36 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp203')).
% 0.69/0.89 tff(5183,plain,
% 0.69/0.89 (~(i36 = i41)),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5182, 5181])).
% 0.69/0.89 tff(5184,plain,
% 0.69/0.89 (~(i36 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5183, 5180])).
% 0.69/0.89 tff(5185,plain,
% 0.69/0.89 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.69/0.89 inference(unit_resolution,[status(thm)],[1424, 5184])).
% 0.69/0.89 tff(5186,plain,
% 0.69/0.89 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5185])).
% 0.69/0.89 tff(5187,plain,
% 0.69/0.89 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i41)),
% 0.69/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.89 tff(5188,plain,
% 0.69/0.89 ((i11 = i41) <=> (i11 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5187])).
% 0.69/0.89 tff(5189,plain,
% 0.69/0.89 ((~(i11 = i41)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.69/0.89 inference(monotonicity,[status(thm)],[5188])).
% 0.69/0.89 tff(5190,plain,
% 0.69/0.89 ((~(i11 = i41)) <=> (~(i11 = i41))),
% 0.69/0.89 inference(rewrite,[status(thm)],[])).
% 0.69/0.89 tff(5191,axiom,(~(i11 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp853')).
% 0.69/0.89 tff(5192,plain,
% 0.69/0.89 (~(i11 = i41)),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 0.69/0.89 tff(5193,plain,
% 0.69/0.89 (~(i11 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5192, 5189])).
% 0.69/0.89 tff(5194,plain,
% 0.69/0.89 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.69/0.89 inference(unit_resolution,[status(thm)],[1443, 5193])).
% 0.69/0.89 tff(5195,plain,
% 0.69/0.89 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5194])).
% 0.69/0.89 tff(5196,plain,
% 0.69/0.89 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i41)),
% 0.69/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.69/0.89 tff(5197,plain,
% 0.69/0.89 ((i34 = i41) <=> (i34 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(symmetry,[status(thm)],[5196])).
% 0.69/0.89 tff(5198,plain,
% 0.69/0.89 ((~(i34 = i41)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.69/0.89 inference(monotonicity,[status(thm)],[5197])).
% 0.69/0.89 tff(5199,plain,
% 0.69/0.89 ((~(i34 = i41)) <=> (~(i34 = i41))),
% 0.69/0.89 inference(rewrite,[status(thm)],[])).
% 0.69/0.89 tff(5200,axiom,(~(i34 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp232')).
% 0.69/0.89 tff(5201,plain,
% 0.69/0.89 (~(i34 = i41)),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 0.69/0.89 tff(5202,plain,
% 0.69/0.89 (~(i34 = sk(a_1800, a_1850))),
% 0.69/0.89 inference(modus_ponens,[status(thm)],[5201, 5198])).
% 0.69/0.89 tff(5203,plain,
% 0.69/0.89 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.69/0.89 inference(unit_resolution,[status(thm)],[1462, 5202])).
% 0.69/0.89 tff(5204,plain,
% 0.69/0.89 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5203])).
% 0.73/0.89 tff(5205,plain,
% 0.73/0.89 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5206,plain,
% 0.73/0.89 ((i26 = i41) <=> (i26 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5205])).
% 0.73/0.89 tff(5207,plain,
% 0.73/0.89 ((~(i26 = i41)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5206])).
% 0.73/0.89 tff(5208,plain,
% 0.73/0.89 ((~(i26 = i41)) <=> (~(i26 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5209,axiom,(~(i26 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp388')).
% 0.73/0.89 tff(5210,plain,
% 0.73/0.89 (~(i26 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 0.73/0.89 tff(5211,plain,
% 0.73/0.89 (~(i26 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5210, 5207])).
% 0.73/0.89 tff(5212,plain,
% 0.73/0.89 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1481, 5211])).
% 0.73/0.89 tff(5213,plain,
% 0.73/0.89 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5212])).
% 0.73/0.89 tff(5214,plain,
% 0.73/0.89 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5215,plain,
% 0.73/0.89 ((i18 = i41) <=> (i18 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5214])).
% 0.73/0.89 tff(5216,plain,
% 0.73/0.89 ((~(i18 = i41)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5215])).
% 0.73/0.89 tff(5217,plain,
% 0.73/0.89 ((~(i18 = i41)) <=> (~(i18 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5218,axiom,(~(i18 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp608')).
% 0.73/0.89 tff(5219,plain,
% 0.73/0.89 (~(i18 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 0.73/0.89 tff(5220,plain,
% 0.73/0.89 (~(i18 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5219, 5216])).
% 0.73/0.89 tff(5221,plain,
% 0.73/0.89 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1500, 5220])).
% 0.73/0.89 tff(5222,plain,
% 0.73/0.89 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5221])).
% 0.73/0.89 tff(5223,plain,
% 0.73/0.89 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1537, 17, 4778])).
% 0.73/0.89 tff(5224,plain,
% 0.73/0.89 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5223])).
% 0.73/0.89 tff(5225,plain,
% 0.73/0.89 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5226,plain,
% 0.73/0.89 ((i17 = i41) <=> (i17 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5225])).
% 0.73/0.89 tff(5227,plain,
% 0.73/0.89 ((~(i17 = i41)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5226])).
% 0.73/0.89 tff(5228,plain,
% 0.73/0.89 ((~(i17 = i41)) <=> (~(i17 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5229,axiom,(~(i17 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp640')).
% 0.73/0.89 tff(5230,plain,
% 0.73/0.89 (~(i17 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 0.73/0.89 tff(5231,plain,
% 0.73/0.89 (~(i17 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5230, 5227])).
% 0.73/0.89 tff(5232,plain,
% 0.73/0.89 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1557, 5231])).
% 0.73/0.89 tff(5233,plain,
% 0.73/0.89 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5232])).
% 0.73/0.89 tff(5234,plain,
% 0.73/0.89 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5235,plain,
% 0.73/0.89 ((i9 = i41) <=> (i9 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5234])).
% 0.73/0.89 tff(5236,plain,
% 0.73/0.89 ((~(i9 = i41)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5235])).
% 0.73/0.89 tff(5237,plain,
% 0.73/0.89 ((~(i9 = i41)) <=> (~(i9 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5238,axiom,(~(i9 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp932')).
% 0.73/0.89 tff(5239,plain,
% 0.73/0.89 (~(i9 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5238, 5237])).
% 0.73/0.89 tff(5240,plain,
% 0.73/0.89 (~(i9 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5239, 5236])).
% 0.73/0.89 tff(5241,plain,
% 0.73/0.89 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1576, 5240])).
% 0.73/0.89 tff(5242,plain,
% 0.73/0.89 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5241])).
% 0.73/0.89 tff(5243,plain,
% 0.73/0.89 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5244,plain,
% 0.73/0.89 ((i33 = i41) <=> (i33 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5243])).
% 0.73/0.89 tff(5245,plain,
% 0.73/0.89 ((~(i33 = i41)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5244])).
% 0.73/0.89 tff(5246,plain,
% 0.73/0.89 ((~(i33 = i41)) <=> (~(i33 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5247,axiom,(~(i33 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp248')).
% 0.73/0.89 tff(5248,plain,
% 0.73/0.89 (~(i33 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 0.73/0.89 tff(5249,plain,
% 0.73/0.89 (~(i33 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5248, 5245])).
% 0.73/0.89 tff(5250,plain,
% 0.73/0.89 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1595, 5249])).
% 0.73/0.89 tff(5251,plain,
% 0.73/0.89 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5250])).
% 0.73/0.89 tff(5252,plain,
% 0.73/0.89 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5253,plain,
% 0.73/0.89 ((i7 = i41) <=> (i7 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5252])).
% 0.73/0.89 tff(5254,plain,
% 0.73/0.89 ((~(i7 = i41)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5253])).
% 0.73/0.89 tff(5255,plain,
% 0.73/0.89 ((~(i7 = i41)) <=> (~(i7 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5256,axiom,(~(i7 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1015')).
% 0.73/0.89 tff(5257,plain,
% 0.73/0.89 (~(i7 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 0.73/0.89 tff(5258,plain,
% 0.73/0.89 (~(i7 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5257, 5254])).
% 0.73/0.89 tff(5259,plain,
% 0.73/0.89 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1614, 5258])).
% 0.73/0.89 tff(5260,plain,
% 0.73/0.89 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5259])).
% 0.73/0.89 tff(5261,plain,
% 0.73/0.89 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5262,plain,
% 0.73/0.89 ((i15 = i41) <=> (i15 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5261])).
% 0.73/0.89 tff(5263,plain,
% 0.73/0.89 ((~(i15 = i41)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5262])).
% 0.73/0.89 tff(5264,plain,
% 0.73/0.89 ((~(i15 = i41)) <=> (~(i15 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5265,axiom,(~(i15 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp707')).
% 0.73/0.89 tff(5266,plain,
% 0.73/0.89 (~(i15 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 0.73/0.89 tff(5267,plain,
% 0.73/0.89 (~(i15 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5266, 5263])).
% 0.73/0.89 tff(5268,plain,
% 0.73/0.89 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1633, 5267])).
% 0.73/0.89 tff(5269,plain,
% 0.73/0.89 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5268])).
% 0.73/0.89 tff(5270,plain,
% 0.73/0.89 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5271,plain,
% 0.73/0.89 ((i27 = i41) <=> (i27 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5270])).
% 0.73/0.89 tff(5272,plain,
% 0.73/0.89 ((~(i27 = i41)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5271])).
% 0.73/0.89 tff(5273,plain,
% 0.73/0.89 ((~(i27 = i41)) <=> (~(i27 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5274,axiom,(~(i27 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp365')).
% 0.73/0.89 tff(5275,plain,
% 0.73/0.89 (~(i27 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5274, 5273])).
% 0.73/0.89 tff(5276,plain,
% 0.73/0.89 (~(i27 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5275, 5272])).
% 0.73/0.89 tff(5277,plain,
% 0.73/0.89 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1652, 5276])).
% 0.73/0.89 tff(5278,plain,
% 0.73/0.89 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5277])).
% 0.73/0.89 tff(5279,plain,
% 0.73/0.89 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5280,plain,
% 0.73/0.89 ((i6 = i41) <=> (i6 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5279])).
% 0.73/0.89 tff(5281,plain,
% 0.73/0.89 ((~(i6 = i41)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5280])).
% 0.73/0.89 tff(5282,plain,
% 0.73/0.89 ((~(i6 = i41)) <=> (~(i6 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5283,axiom,(~(i6 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1058')).
% 0.73/0.89 tff(5284,plain,
% 0.73/0.89 (~(i6 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 0.73/0.89 tff(5285,plain,
% 0.73/0.89 (~(i6 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5284, 5281])).
% 0.73/0.89 tff(5286,plain,
% 0.73/0.89 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1671, 5285])).
% 0.73/0.89 tff(5287,plain,
% 0.73/0.89 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5286])).
% 0.73/0.89 tff(5288,plain,
% 0.73/0.89 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5289,plain,
% 0.73/0.89 ((i13 = i41) <=> (i13 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5288])).
% 0.73/0.89 tff(5290,plain,
% 0.73/0.89 ((~(i13 = i41)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5289])).
% 0.73/0.89 tff(5291,plain,
% 0.73/0.89 ((~(i13 = i41)) <=> (~(i13 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5292,axiom,(~(i13 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp778')).
% 0.73/0.89 tff(5293,plain,
% 0.73/0.89 (~(i13 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 0.73/0.89 tff(5294,plain,
% 0.73/0.89 (~(i13 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5293, 5290])).
% 0.73/0.89 tff(5295,plain,
% 0.73/0.89 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1690, 5294])).
% 0.73/0.89 tff(5296,plain,
% 0.73/0.89 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5295])).
% 0.73/0.89 tff(5297,plain,
% 0.73/0.89 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5298,plain,
% 0.73/0.89 ((i14 = i41) <=> (i14 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5297])).
% 0.73/0.89 tff(5299,plain,
% 0.73/0.89 ((~(i14 = i41)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5298])).
% 0.73/0.89 tff(5300,plain,
% 0.73/0.89 ((~(i14 = i41)) <=> (~(i14 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5301,axiom,(~(i14 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp742')).
% 0.73/0.89 tff(5302,plain,
% 0.73/0.89 (~(i14 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5301, 5300])).
% 0.73/0.89 tff(5303,plain,
% 0.73/0.89 (~(i14 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5302, 5299])).
% 0.73/0.89 tff(5304,plain,
% 0.73/0.89 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[1708, 5303])).
% 0.73/0.89 tff(5305,plain,
% 0.73/0.89 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5304])).
% 0.73/0.89 tff(5306,plain,
% 0.73/0.89 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5307,plain,
% 0.73/0.89 ((i8 = i41) <=> (i8 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5306])).
% 0.73/0.89 tff(5308,plain,
% 0.73/0.89 ((~(i8 = i41)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5307])).
% 0.73/0.89 tff(5309,plain,
% 0.73/0.89 ((~(i8 = i41)) <=> (~(i8 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5310,axiom,(~(i8 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp973')).
% 0.73/0.89 tff(5311,plain,
% 0.73/0.89 (~(i8 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5310, 5309])).
% 0.73/0.89 tff(5312,plain,
% 0.73/0.89 (~(i8 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5311, 5308])).
% 0.73/0.89 tff(5313,plain,
% 0.73/0.89 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3692, 5312])).
% 0.73/0.89 tff(5314,plain,
% 0.73/0.89 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5313])).
% 0.73/0.89 tff(5315,plain,
% 0.73/0.89 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5316,plain,
% 0.73/0.89 ((i16 = i41) <=> (i16 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5315])).
% 0.73/0.89 tff(5317,plain,
% 0.73/0.89 ((~(i16 = i41)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5316])).
% 0.73/0.89 tff(5318,plain,
% 0.73/0.89 ((~(i16 = i41)) <=> (~(i16 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5319,axiom,(~(i16 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp673')).
% 0.73/0.89 tff(5320,plain,
% 0.73/0.89 (~(i16 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 0.73/0.89 tff(5321,plain,
% 0.73/0.89 (~(i16 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5320, 5317])).
% 0.73/0.89 tff(5322,plain,
% 0.73/0.89 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3711, 5321])).
% 0.73/0.89 tff(5323,plain,
% 0.73/0.89 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5322])).
% 0.73/0.89 tff(5324,plain,
% 0.73/0.89 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5325,plain,
% 0.73/0.89 ((i40 = i41) <=> (i40 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5324])).
% 0.73/0.89 tff(5326,plain,
% 0.73/0.89 ((~(i40 = i41)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5325])).
% 0.73/0.89 tff(5327,plain,
% 0.73/0.89 ((~(i40 = i41)) <=> (~(i40 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5328,axiom,(~(i40 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp157')).
% 0.73/0.89 tff(5329,plain,
% 0.73/0.89 (~(i40 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 0.73/0.89 tff(5330,plain,
% 0.73/0.89 (~(i40 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5329, 5326])).
% 0.73/0.89 tff(5331,plain,
% 0.73/0.89 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3730, 5330])).
% 0.73/0.89 tff(5332,plain,
% 0.73/0.89 (select(store(a_1808, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5331])).
% 0.73/0.89 tff(5333,plain,
% 0.73/0.89 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5334,plain,
% 0.73/0.89 ((i20 = i41) <=> (i20 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5333])).
% 0.73/0.89 tff(5335,plain,
% 0.73/0.89 ((~(i20 = i41)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5334])).
% 0.73/0.89 tff(5336,plain,
% 0.73/0.89 ((~(i20 = i41)) <=> (~(i20 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5337,axiom,(~(i20 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp547')).
% 0.73/0.89 tff(5338,plain,
% 0.73/0.89 (~(i20 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5337, 5336])).
% 0.73/0.89 tff(5339,plain,
% 0.73/0.89 (~(i20 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5338, 5335])).
% 0.73/0.89 tff(5340,plain,
% 0.73/0.89 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3749, 5339])).
% 0.73/0.89 tff(5341,plain,
% 0.73/0.89 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5340])).
% 0.73/0.89 tff(5342,plain,
% 0.73/0.89 ((i39 = sk(a_1800, a_1850)) <=> (i39 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5343,plain,
% 0.73/0.89 ((i39 = i41) <=> (i39 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5342])).
% 0.73/0.89 tff(5344,plain,
% 0.73/0.89 ((~(i39 = i41)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5343])).
% 0.73/0.89 tff(5345,plain,
% 0.73/0.89 ((~(i39 = i41)) <=> (~(i39 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5346,axiom,(~(i39 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp167')).
% 0.73/0.89 tff(5347,plain,
% 0.73/0.89 (~(i39 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5346, 5345])).
% 0.73/0.89 tff(5348,plain,
% 0.73/0.89 (~(i39 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5347, 5344])).
% 0.73/0.89 tff(5349,plain,
% 0.73/0.89 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3768, 5348])).
% 0.73/0.89 tff(5350,plain,
% 0.73/0.89 (select(store(a_1806, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5349])).
% 0.73/0.89 tff(5351,plain,
% 0.73/0.89 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5352,plain,
% 0.73/0.89 ((i22 = i41) <=> (i22 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5351])).
% 0.73/0.89 tff(5353,plain,
% 0.73/0.89 ((~(i22 = i41)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5352])).
% 0.73/0.89 tff(5354,plain,
% 0.73/0.89 ((~(i22 = i41)) <=> (~(i22 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5355,axiom,(~(i22 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp490')).
% 0.73/0.89 tff(5356,plain,
% 0.73/0.89 (~(i22 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 0.73/0.89 tff(5357,plain,
% 0.73/0.89 (~(i22 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5356, 5353])).
% 0.73/0.89 tff(5358,plain,
% 0.73/0.89 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3787, 5357])).
% 0.73/0.89 tff(5359,plain,
% 0.73/0.89 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5358])).
% 0.73/0.89 tff(5360,plain,
% 0.73/0.89 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5361,plain,
% 0.73/0.89 ((i19 = i41) <=> (i19 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5360])).
% 0.73/0.89 tff(5362,plain,
% 0.73/0.89 ((~(i19 = i41)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5361])).
% 0.73/0.89 tff(5363,plain,
% 0.73/0.89 ((~(i19 = i41)) <=> (~(i19 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5364,axiom,(~(i19 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp577')).
% 0.73/0.89 tff(5365,plain,
% 0.73/0.89 (~(i19 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 0.73/0.89 tff(5366,plain,
% 0.73/0.89 (~(i19 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5365, 5362])).
% 0.73/0.89 tff(5367,plain,
% 0.73/0.89 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3806, 5366])).
% 0.73/0.89 tff(5368,plain,
% 0.73/0.89 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5367])).
% 0.73/0.89 tff(5369,plain,
% 0.73/0.89 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i41)),
% 0.73/0.89 inference(monotonicity,[status(thm)],[4794])).
% 0.73/0.89 tff(5370,plain,
% 0.73/0.89 ((i28 = i41) <=> (i28 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5369])).
% 0.73/0.89 tff(5371,plain,
% 0.73/0.89 ((~(i28 = i41)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[5370])).
% 0.73/0.89 tff(5372,plain,
% 0.73/0.89 ((~(i28 = i41)) <=> (~(i28 = i41))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5373,axiom,(~(i28 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp343')).
% 0.73/0.89 tff(5374,plain,
% 0.73/0.89 (~(i28 = i41)),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5373, 5372])).
% 0.73/0.89 tff(5375,plain,
% 0.73/0.89 (~(i28 = sk(a_1800, a_1850))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5374, 5371])).
% 0.73/0.89 tff(5376,plain,
% 0.73/0.89 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3825, 5375])).
% 0.73/0.89 tff(5377,plain,
% 0.73/0.89 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5376])).
% 0.73/0.89 tff(5378,plain,
% 0.73/0.89 (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[3842, 17, 5105])).
% 0.73/0.89 tff(5379,plain,
% 0.73/0.89 (select(store(a_1802, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5378])).
% 0.73/0.89 tff(5380,plain,
% 0.73/0.89 (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[3414])).
% 0.73/0.89 tff(5381,plain,
% 0.73/0.89 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i45 = sk(a_1800, a_1850)) | (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i45 = sk(a_1800, a_1850)) | (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))))),
% 0.73/0.89 inference(rewrite,[status(thm)],[])).
% 0.73/0.89 tff(5382,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i45 = sk(a_1800, a_1850)) | (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))))),
% 0.73/0.89 inference(quant_inst,[status(thm)],[])).
% 0.73/0.89 tff(5383,plain,
% 0.73/0.89 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i45 = sk(a_1800, a_1850)) | (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850)))),
% 0.73/0.89 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 0.73/0.89 tff(5384,plain,
% 0.73/0.89 (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))),
% 0.73/0.89 inference(unit_resolution,[status(thm)],[5383, 17, 4802])).
% 0.73/0.89 tff(5385,plain,
% 0.73/0.89 (select(store(a_1801, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850))),
% 0.73/0.89 inference(symmetry,[status(thm)],[5384])).
% 0.73/0.90 tff(5386,plain,
% 0.73/0.90 ((a_1801 = store(a1, i41, e41)) <=> (a_1801 = store(a1, i41, e41))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5387,axiom,(a_1801 = store(a1, i41, e41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp50')).
% 0.73/0.90 tff(5388,plain,
% 0.73/0.90 (a_1801 = store(a1, i41, e41)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5387, 5386])).
% 0.73/0.90 tff(5389,plain,
% 0.73/0.90 (store(a1, i41, e41) = a_1801),
% 0.73/0.90 inference(symmetry,[status(thm)],[5388])).
% 0.73/0.90 tff(5390,plain,
% 0.73/0.90 (store(store(a1, i41, e41), i30, e30) = store(a_1801, i30, e30)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5389])).
% 0.73/0.90 tff(5391,plain,
% 0.73/0.90 (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5390])).
% 0.73/0.90 tff(5392,plain,
% 0.73/0.90 (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = e_1853),
% 0.73/0.90 inference(transitivity,[status(thm)],[5391, 5385, 5380, 5379, 3833, 5377, 3814, 5368, 3795, 5359, 3776, 5350, 3757, 5341, 3738, 5332, 3719, 5323, 3700, 5314, 3681, 3675, 3670, 5305, 1698, 5296, 1679, 5287, 1660, 5278, 1641, 5269, 1622, 5260, 1603, 5251, 1584, 5242, 1565, 5233, 1546, 5224, 1527, 3579, 1508, 5222, 1489, 5213, 1470, 5204, 1451, 5195, 1432, 5186, 1413, 4898, 1394, 5177, 1375, 5171, 1356, 5162, 1337, 3496, 1318, 5153, 1299, 1293, 1288, 5144, 1269, 5135, 1250, 2675, 1231, 5126, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.73/0.90 tff(5393,plain,
% 0.73/0.90 ((select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5392, 5117])).
% 0.73/0.90 tff(5394,plain,
% 0.73/0.90 ((select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5393, 1])).
% 0.73/0.90 tff(5395,plain,
% 0.73/0.90 ((e_1852 = e_1853) <=> (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850)))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5394])).
% 0.73/0.90 tff(5396,plain,
% 0.73/0.90 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5395])).
% 0.73/0.90 tff(5397,plain,
% 0.73/0.90 (~(select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850)))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[999, 5396])).
% 0.73/0.90 tff(5398,plain,
% 0.73/0.90 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1800, a_1850)) | (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1800, a_1850)) | (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5399,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i30 = sk(a_1800, a_1850)) | (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))))),
% 0.73/0.90 inference(quant_inst,[status(thm)],[])).
% 0.73/0.90 tff(5400,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i30 = sk(a_1800, a_1850)) | (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850)))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 0.73/0.90 tff(5401,plain,
% 0.73/0.90 ((i30 = sk(a_1800, a_1850)) | (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850)))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[5400, 17])).
% 0.73/0.90 tff(5402,plain,
% 0.73/0.90 ($false),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[5401, 5397, 4801])).
% 0.73/0.90 tff(5403,plain,((~(i41 = sk(a_1800, a_1850))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i42 = sk(a_1800, a_1850)) | (i44 = sk(a_1800, a_1850)) | (i46 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.90 tff(5404,plain,
% 0.73/0.90 (~(i41 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[5403, 3981, 2929, 4594, 4373, 3849, 3386, 2578, 2904, 4792, 3961, 3893, 11])).
% 0.73/0.90 tff(5405,plain,
% 0.73/0.90 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1888, 5404])).
% 0.73/0.90 tff(5406,plain,
% 0.73/0.90 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[585, 4095])).
% 0.73/0.90 tff(5407,plain,
% 0.73/0.90 ((i11 = i10) <=> (i10 = i11)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5408,assumption,(i10 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.73/0.90 tff(5409,plain,
% 0.73/0.90 (sk(a_1800, a_1850) = i10),
% 0.73/0.90 inference(symmetry,[status(thm)],[5408])).
% 0.73/0.90 tff(5410,plain,
% 0.73/0.90 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5411,plain,
% 0.73/0.90 ((i11 = sk(a_1800, a_1850)) <=> (i10 = i11)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5410, 5407])).
% 0.73/0.90 tff(5412,plain,
% 0.73/0.90 ((i10 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5411])).
% 0.73/0.90 tff(5413,plain,
% 0.73/0.90 ((~(i10 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5412])).
% 0.73/0.90 tff(5414,plain,
% 0.73/0.90 ((~(i10 = i11)) <=> (~(i10 = i11))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5415,axiom,(~(i10 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp922')).
% 0.73/0.90 tff(5416,plain,
% 0.73/0.90 (~(i10 = i11)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 0.73/0.90 tff(5417,plain,
% 0.73/0.90 (~(i11 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5416, 5413])).
% 0.73/0.90 tff(5418,assumption,(~(i32 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.90 tff(5419,plain,
% 0.73/0.90 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1128, 5418])).
% 0.73/0.90 tff(5420,plain,
% 0.73/0.90 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5419])).
% 0.73/0.90 tff(5421,plain,
% 0.73/0.90 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1166, 254])).
% 0.73/0.90 tff(5422,plain,
% 0.73/0.90 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5421])).
% 0.73/0.90 tff(5423,plain,
% 0.73/0.90 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1185, 2900])).
% 0.73/0.90 tff(5424,plain,
% 0.73/0.90 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5423])).
% 0.73/0.90 tff(5425,plain,
% 0.73/0.90 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1223, 580])).
% 0.73/0.90 tff(5426,plain,
% 0.73/0.90 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5425])).
% 0.73/0.90 tff(5427,plain,
% 0.73/0.90 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1241, 17, 2116])).
% 0.73/0.90 tff(5428,plain,
% 0.73/0.90 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5427])).
% 0.73/0.90 tff(5429,plain,
% 0.73/0.90 (select(store(store(a_1836, i2, e2), i10, e10), i10) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[1249, 5408])).
% 0.73/0.90 tff(5430,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1836, i2, e2), i10, e10), i10) = e10)),
% 0.73/0.90 inference(quant_inst,[status(thm)],[])).
% 0.73/0.90 tff(5431,plain,
% 0.73/0.90 (select(store(store(a_1836, i2, e2), i10, e10), i10) = e10),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[5430, 47])).
% 0.73/0.90 tff(5432,plain,
% 0.73/0.90 (e10 = select(store(store(a_1836, i2, e2), i10, e10), i10)),
% 0.73/0.90 inference(symmetry,[status(thm)],[5431])).
% 0.73/0.90 tff(5433,plain,
% 0.73/0.90 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1758, i9, e9), i10, e10), i10) = e10)),
% 0.73/0.90 inference(quant_inst,[status(thm)],[])).
% 0.73/0.90 tff(5434,plain,
% 0.73/0.90 (select(store(store(a_1758, i9, e9), i10, e10), i10) = e10),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[5433, 47])).
% 0.73/0.90 tff(5435,plain,
% 0.73/0.90 (store(a_1759, i10, e10) = store(store(a_1758, i9, e9), i10, e10)),
% 0.73/0.90 inference(symmetry,[status(thm)],[223])).
% 0.73/0.90 tff(5436,plain,
% 0.73/0.90 (select(store(a_1759, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1758, i9, e9), i10, e10), i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5435, 5409])).
% 0.73/0.90 tff(5437,plain,
% 0.73/0.90 (select(store(a_1759, i10, e10), sk(a_1800, a_1850)) = e_1853),
% 0.73/0.90 inference(transitivity,[status(thm)],[5436, 5434, 5432, 5429, 5428, 1231, 5426, 1212, 5121, 1193, 5424, 1174, 5422, 1155, 2504, 1136, 5420, 1117, 4104, 1098, 2944, 1079, 2917, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.73/0.90 tff(5438,assumption,(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.90 tff(5439,plain,
% 0.73/0.90 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5438])).
% 0.73/0.90 tff(5440,assumption,(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.90 tff(5441,plain,
% 0.73/0.90 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5440])).
% 0.73/0.90 tff(5442,plain,
% 0.73/0.90 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[4769])).
% 0.73/0.90 tff(5443,plain,
% 0.73/0.90 ((i10 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5408])).
% 0.73/0.90 tff(5444,plain,
% 0.73/0.90 ((i10 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(transitivity,[status(thm)],[5443, 769])).
% 0.73/0.90 tff(5445,plain,
% 0.73/0.90 ((~(i10 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5444])).
% 0.73/0.90 tff(5446,plain,
% 0.73/0.90 ((~(i10 = i39)) <=> (~(i10 = i39))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5447,axiom,(~(i10 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp894')).
% 0.73/0.90 tff(5448,plain,
% 0.73/0.90 (~(i10 = i39)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5447, 5446])).
% 0.73/0.90 tff(5449,plain,
% 0.73/0.90 (~(i39 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5448, 5445])).
% 0.73/0.90 tff(5450,plain,
% 0.73/0.90 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1912, 5449])).
% 0.73/0.90 tff(5451,plain,
% 0.73/0.90 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5450])).
% 0.73/0.90 tff(5452,plain,
% 0.73/0.90 ((i38 = i10) <=> (i10 = i38)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5453,plain,
% 0.73/0.90 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5454,plain,
% 0.73/0.90 ((i38 = sk(a_1800, a_1850)) <=> (i10 = i38)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5453, 5452])).
% 0.73/0.90 tff(5455,plain,
% 0.73/0.90 ((i10 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5454])).
% 0.73/0.90 tff(5456,plain,
% 0.73/0.90 ((~(i10 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5455])).
% 0.73/0.90 tff(5457,plain,
% 0.73/0.90 (~(i38 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[4509, 5456])).
% 0.73/0.90 tff(5458,plain,
% 0.73/0.90 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1924, 5457])).
% 0.73/0.90 tff(5459,plain,
% 0.73/0.90 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5458])).
% 0.73/0.90 tff(5460,plain,
% 0.73/0.90 ((i36 = i10) <=> (i10 = i36)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5461,plain,
% 0.73/0.90 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5462,plain,
% 0.73/0.90 ((i36 = sk(a_1800, a_1850)) <=> (i10 = i36)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5461, 5460])).
% 0.73/0.90 tff(5463,plain,
% 0.73/0.90 ((i10 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5462])).
% 0.73/0.90 tff(5464,plain,
% 0.73/0.90 ((~(i10 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5463])).
% 0.73/0.90 tff(5465,plain,
% 0.73/0.90 ((~(i10 = i36)) <=> (~(i10 = i36))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5466,axiom,(~(i10 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp897')).
% 0.73/0.90 tff(5467,plain,
% 0.73/0.90 (~(i10 = i36)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 0.73/0.90 tff(5468,plain,
% 0.73/0.90 (~(i36 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5467, 5464])).
% 0.73/0.90 tff(5469,plain,
% 0.73/0.90 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1948, 5468])).
% 0.73/0.90 tff(5470,plain,
% 0.73/0.90 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5469])).
% 0.73/0.90 tff(5471,plain,
% 0.73/0.90 ((i35 = i10) <=> (i10 = i35)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5472,plain,
% 0.73/0.90 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5473,plain,
% 0.73/0.90 ((i35 = sk(a_1800, a_1850)) <=> (i10 = i35)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5472, 5471])).
% 0.73/0.90 tff(5474,plain,
% 0.73/0.90 ((i10 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5473])).
% 0.73/0.90 tff(5475,plain,
% 0.73/0.90 ((~(i10 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5474])).
% 0.73/0.90 tff(5476,plain,
% 0.73/0.90 ((~(i10 = i35)) <=> (~(i10 = i35))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5477,axiom,(~(i10 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp898')).
% 0.73/0.90 tff(5478,plain,
% 0.73/0.90 (~(i10 = i35)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 0.73/0.90 tff(5479,plain,
% 0.73/0.90 (~(i35 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5478, 5475])).
% 0.73/0.90 tff(5480,plain,
% 0.73/0.90 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1960, 5479])).
% 0.73/0.90 tff(5481,plain,
% 0.73/0.90 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5480])).
% 0.73/0.90 tff(5482,plain,
% 0.73/0.90 ((i34 = i10) <=> (i10 = i34)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5483,plain,
% 0.73/0.90 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5484,plain,
% 0.73/0.90 ((i34 = sk(a_1800, a_1850)) <=> (i10 = i34)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5483, 5482])).
% 0.73/0.90 tff(5485,plain,
% 0.73/0.90 ((i10 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5484])).
% 0.73/0.90 tff(5486,plain,
% 0.73/0.90 ((~(i10 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5485])).
% 0.73/0.90 tff(5487,plain,
% 0.73/0.90 ((~(i10 = i34)) <=> (~(i10 = i34))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5488,axiom,(~(i10 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp899')).
% 0.73/0.90 tff(5489,plain,
% 0.73/0.90 (~(i10 = i34)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 0.73/0.90 tff(5490,plain,
% 0.73/0.90 (~(i34 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5489, 5486])).
% 0.73/0.90 tff(5491,plain,
% 0.73/0.90 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1972, 5490])).
% 0.73/0.90 tff(5492,plain,
% 0.73/0.90 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5491])).
% 0.73/0.90 tff(5493,plain,
% 0.73/0.90 ((i33 = i10) <=> (i10 = i33)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5494,plain,
% 0.73/0.90 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5495,plain,
% 0.73/0.90 ((i33 = sk(a_1800, a_1850)) <=> (i10 = i33)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5494, 5493])).
% 0.73/0.90 tff(5496,plain,
% 0.73/0.90 ((i10 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5495])).
% 0.73/0.90 tff(5497,plain,
% 0.73/0.90 ((~(i10 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5496])).
% 0.73/0.90 tff(5498,plain,
% 0.73/0.90 ((~(i10 = i33)) <=> (~(i10 = i33))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5499,axiom,(~(i10 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp900')).
% 0.73/0.90 tff(5500,plain,
% 0.73/0.90 (~(i10 = i33)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 0.73/0.90 tff(5501,plain,
% 0.73/0.90 (~(i33 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5500, 5497])).
% 0.73/0.90 tff(5502,plain,
% 0.73/0.90 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[1984, 5501])).
% 0.73/0.90 tff(5503,plain,
% 0.73/0.90 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5502])).
% 0.73/0.90 tff(5504,plain,
% 0.73/0.90 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[642, 17, 5418])).
% 0.73/0.90 tff(5505,plain,
% 0.73/0.90 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5504])).
% 0.73/0.90 tff(5506,plain,
% 0.73/0.90 ((i30 = i10) <=> (i10 = i30)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5507,plain,
% 0.73/0.90 ((i30 = sk(a_1800, a_1850)) <=> (i30 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5508,plain,
% 0.73/0.90 ((i30 = sk(a_1800, a_1850)) <=> (i10 = i30)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5507, 5506])).
% 0.73/0.90 tff(5509,plain,
% 0.73/0.90 ((i10 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5508])).
% 0.73/0.90 tff(5510,plain,
% 0.73/0.90 ((~(i10 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5509])).
% 0.73/0.90 tff(5511,plain,
% 0.73/0.90 ((~(i10 = i30)) <=> (~(i10 = i30))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5512,axiom,(~(i10 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp903')).
% 0.73/0.90 tff(5513,plain,
% 0.73/0.90 (~(i10 = i30)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 0.73/0.90 tff(5514,plain,
% 0.73/0.90 (~(i30 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5513, 5510])).
% 0.73/0.90 tff(5515,plain,
% 0.73/0.90 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[2294, 5514])).
% 0.73/0.90 tff(5516,plain,
% 0.73/0.90 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5515])).
% 0.73/0.90 tff(5517,plain,
% 0.73/0.90 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[4287])).
% 0.73/0.90 tff(5518,plain,
% 0.73/0.90 ((i28 = i10) <=> (i10 = i28)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5519,plain,
% 0.73/0.90 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5520,plain,
% 0.73/0.90 ((i28 = sk(a_1800, a_1850)) <=> (i10 = i28)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5519, 5518])).
% 0.73/0.90 tff(5521,plain,
% 0.73/0.90 ((i10 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5520])).
% 0.73/0.90 tff(5522,plain,
% 0.73/0.90 ((~(i10 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5521])).
% 0.73/0.90 tff(5523,plain,
% 0.73/0.90 ((~(i10 = i28)) <=> (~(i10 = i28))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5524,axiom,(~(i10 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp905')).
% 0.73/0.90 tff(5525,plain,
% 0.73/0.90 (~(i10 = i28)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5524, 5523])).
% 0.73/0.90 tff(5526,plain,
% 0.73/0.90 (~(i28 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5525, 5522])).
% 0.73/0.90 tff(5527,plain,
% 0.73/0.90 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[2318, 5526])).
% 0.73/0.90 tff(5528,plain,
% 0.73/0.90 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5527])).
% 0.73/0.90 tff(5529,plain,
% 0.73/0.90 ((i27 = i10) <=> (i10 = i27)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5530,plain,
% 0.73/0.90 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5531,plain,
% 0.73/0.90 ((i27 = sk(a_1800, a_1850)) <=> (i10 = i27)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5530, 5529])).
% 0.73/0.90 tff(5532,plain,
% 0.73/0.90 ((i10 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5531])).
% 0.73/0.90 tff(5533,plain,
% 0.73/0.90 ((~(i10 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5532])).
% 0.73/0.90 tff(5534,plain,
% 0.73/0.90 ((~(i10 = i27)) <=> (~(i10 = i27))),
% 0.73/0.90 inference(rewrite,[status(thm)],[])).
% 0.73/0.90 tff(5535,axiom,(~(i10 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp906')).
% 0.73/0.90 tff(5536,plain,
% 0.73/0.90 (~(i10 = i27)),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 0.73/0.90 tff(5537,plain,
% 0.73/0.90 (~(i27 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(modus_ponens,[status(thm)],[5536, 5533])).
% 0.73/0.90 tff(5538,plain,
% 0.73/0.90 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.73/0.90 inference(unit_resolution,[status(thm)],[2330, 5537])).
% 0.73/0.90 tff(5539,plain,
% 0.73/0.90 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5538])).
% 0.73/0.90 tff(5540,plain,
% 0.73/0.90 ((i26 = i10) <=> (i10 = i26)),
% 0.73/0.90 inference(commutativity,[status(thm)],[])).
% 0.73/0.90 tff(5541,plain,
% 0.73/0.90 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i10)),
% 0.73/0.90 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.90 tff(5542,plain,
% 0.73/0.90 ((i26 = sk(a_1800, a_1850)) <=> (i10 = i26)),
% 0.73/0.90 inference(transitivity,[status(thm)],[5541, 5540])).
% 0.73/0.90 tff(5543,plain,
% 0.73/0.90 ((i10 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.73/0.90 inference(symmetry,[status(thm)],[5542])).
% 0.73/0.90 tff(5544,plain,
% 0.73/0.90 ((~(i10 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5543])).
% 0.73/0.91 tff(5545,plain,
% 0.73/0.91 ((~(i10 = i26)) <=> (~(i10 = i26))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5546,axiom,(~(i10 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp907')).
% 0.73/0.91 tff(5547,plain,
% 0.73/0.91 (~(i10 = i26)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 0.73/0.91 tff(5548,plain,
% 0.73/0.91 (~(i26 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5547, 5544])).
% 0.73/0.91 tff(5549,plain,
% 0.73/0.91 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[2342, 5548])).
% 0.73/0.91 tff(5550,plain,
% 0.73/0.91 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5549])).
% 0.73/0.91 tff(5551,plain,
% 0.73/0.91 ((i25 = i10) <=> (i10 = i25)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5552,plain,
% 0.73/0.91 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5553,plain,
% 0.73/0.91 ((i25 = sk(a_1800, a_1850)) <=> (i10 = i25)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5552, 5551])).
% 0.73/0.91 tff(5554,plain,
% 0.73/0.91 ((i10 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5553])).
% 0.73/0.91 tff(5555,plain,
% 0.73/0.91 ((~(i10 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5554])).
% 0.73/0.91 tff(5556,plain,
% 0.73/0.91 ((~(i10 = i25)) <=> (~(i10 = i25))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5557,axiom,(~(i10 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp908')).
% 0.73/0.91 tff(5558,plain,
% 0.73/0.91 (~(i10 = i25)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 0.73/0.91 tff(5559,plain,
% 0.73/0.91 (~(i25 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5558, 5555])).
% 0.73/0.91 tff(5560,plain,
% 0.73/0.91 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[2350, 5559])).
% 0.73/0.91 tff(5561,plain,
% 0.73/0.91 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5560])).
% 0.73/0.91 tff(5562,plain,
% 0.73/0.91 ((i23 = i10) <=> (i10 = i23)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5563,plain,
% 0.73/0.91 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5564,plain,
% 0.73/0.91 ((i23 = sk(a_1800, a_1850)) <=> (i10 = i23)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5563, 5562])).
% 0.73/0.91 tff(5565,plain,
% 0.73/0.91 ((i10 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5564])).
% 0.73/0.91 tff(5566,plain,
% 0.73/0.91 ((~(i10 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5565])).
% 0.73/0.91 tff(5567,plain,
% 0.73/0.91 ((~(i10 = i23)) <=> (~(i10 = i23))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5568,axiom,(~(i10 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp910')).
% 0.73/0.91 tff(5569,plain,
% 0.73/0.91 (~(i10 = i23)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 0.73/0.91 tff(5570,plain,
% 0.73/0.91 (~(i23 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5569, 5566])).
% 0.73/0.91 tff(5571,plain,
% 0.73/0.91 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3180, 5570])).
% 0.73/0.91 tff(5572,plain,
% 0.73/0.91 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5571])).
% 0.73/0.91 tff(5573,plain,
% 0.73/0.91 ((i22 = i10) <=> (i10 = i22)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5574,plain,
% 0.73/0.91 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5575,plain,
% 0.73/0.91 ((i22 = sk(a_1800, a_1850)) <=> (i10 = i22)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5574, 5573])).
% 0.73/0.91 tff(5576,plain,
% 0.73/0.91 ((i10 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5575])).
% 0.73/0.91 tff(5577,plain,
% 0.73/0.91 ((~(i10 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5576])).
% 0.73/0.91 tff(5578,plain,
% 0.73/0.91 ((~(i10 = i22)) <=> (~(i10 = i22))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5579,axiom,(~(i10 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp911')).
% 0.73/0.91 tff(5580,plain,
% 0.73/0.91 (~(i10 = i22)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 0.73/0.91 tff(5581,plain,
% 0.73/0.91 (~(i22 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5580, 5577])).
% 0.73/0.91 tff(5582,plain,
% 0.73/0.91 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3192, 5581])).
% 0.73/0.91 tff(5583,plain,
% 0.73/0.91 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5582])).
% 0.73/0.91 tff(5584,plain,
% 0.73/0.91 ((i20 = i10) <=> (i10 = i20)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5585,plain,
% 0.73/0.91 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5586,plain,
% 0.73/0.91 ((i20 = sk(a_1800, a_1850)) <=> (i10 = i20)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5585, 5584])).
% 0.73/0.91 tff(5587,plain,
% 0.73/0.91 ((i10 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5586])).
% 0.73/0.91 tff(5588,plain,
% 0.73/0.91 ((~(i10 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5587])).
% 0.73/0.91 tff(5589,plain,
% 0.73/0.91 ((~(i10 = i20)) <=> (~(i10 = i20))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5590,axiom,(~(i10 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp913')).
% 0.73/0.91 tff(5591,plain,
% 0.73/0.91 (~(i10 = i20)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 0.73/0.91 tff(5592,plain,
% 0.73/0.91 (~(i20 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5591, 5588])).
% 0.73/0.91 tff(5593,plain,
% 0.73/0.91 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3206, 5592])).
% 0.73/0.91 tff(5594,plain,
% 0.73/0.91 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5593])).
% 0.73/0.91 tff(5595,plain,
% 0.73/0.91 ((i19 = i10) <=> (i10 = i19)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5596,plain,
% 0.73/0.91 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5597,plain,
% 0.73/0.91 ((i19 = sk(a_1800, a_1850)) <=> (i10 = i19)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5596, 5595])).
% 0.73/0.91 tff(5598,plain,
% 0.73/0.91 ((i10 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5597])).
% 0.73/0.91 tff(5599,plain,
% 0.73/0.91 ((~(i10 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5598])).
% 0.73/0.91 tff(5600,plain,
% 0.73/0.91 ((~(i10 = i19)) <=> (~(i10 = i19))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5601,axiom,(~(i10 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp914')).
% 0.73/0.91 tff(5602,plain,
% 0.73/0.91 (~(i10 = i19)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 0.73/0.91 tff(5603,plain,
% 0.73/0.91 (~(i19 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5602, 5599])).
% 0.73/0.91 tff(5604,plain,
% 0.73/0.91 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3218, 5603])).
% 0.73/0.91 tff(5605,plain,
% 0.73/0.91 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5604])).
% 0.73/0.91 tff(5606,plain,
% 0.73/0.91 ((i18 = i10) <=> (i10 = i18)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5607,plain,
% 0.73/0.91 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5608,plain,
% 0.73/0.91 ((i18 = sk(a_1800, a_1850)) <=> (i10 = i18)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5607, 5606])).
% 0.73/0.91 tff(5609,plain,
% 0.73/0.91 ((i10 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5608])).
% 0.73/0.91 tff(5610,plain,
% 0.73/0.91 ((~(i10 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5609])).
% 0.73/0.91 tff(5611,plain,
% 0.73/0.91 ((~(i10 = i18)) <=> (~(i10 = i18))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5612,axiom,(~(i10 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp915')).
% 0.73/0.91 tff(5613,plain,
% 0.73/0.91 (~(i10 = i18)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5612, 5611])).
% 0.73/0.91 tff(5614,plain,
% 0.73/0.91 (~(i18 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5613, 5610])).
% 0.73/0.91 tff(5615,plain,
% 0.73/0.91 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3230, 5614])).
% 0.73/0.91 tff(5616,plain,
% 0.73/0.91 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5615])).
% 0.73/0.91 tff(5617,plain,
% 0.73/0.91 ((i17 = i10) <=> (i10 = i17)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5618,plain,
% 0.73/0.91 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5619,plain,
% 0.73/0.91 ((i17 = sk(a_1800, a_1850)) <=> (i10 = i17)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5618, 5617])).
% 0.73/0.91 tff(5620,plain,
% 0.73/0.91 ((i10 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5619])).
% 0.73/0.91 tff(5621,plain,
% 0.73/0.91 ((~(i10 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5620])).
% 0.73/0.91 tff(5622,plain,
% 0.73/0.91 ((~(i10 = i17)) <=> (~(i10 = i17))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5623,axiom,(~(i10 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp916')).
% 0.73/0.91 tff(5624,plain,
% 0.73/0.91 (~(i10 = i17)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 0.73/0.91 tff(5625,plain,
% 0.73/0.91 (~(i17 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5624, 5621])).
% 0.73/0.91 tff(5626,plain,
% 0.73/0.91 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3242, 5625])).
% 0.73/0.91 tff(5627,plain,
% 0.73/0.91 (select(store(a_1765, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5626])).
% 0.73/0.91 tff(5628,plain,
% 0.73/0.91 ((i16 = i10) <=> (i10 = i16)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5629,plain,
% 0.73/0.91 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5630,plain,
% 0.73/0.91 ((i16 = sk(a_1800, a_1850)) <=> (i10 = i16)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5629, 5628])).
% 0.73/0.91 tff(5631,plain,
% 0.73/0.91 ((i10 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5630])).
% 0.73/0.91 tff(5632,plain,
% 0.73/0.91 ((~(i10 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5631])).
% 0.73/0.91 tff(5633,plain,
% 0.73/0.91 ((~(i10 = i16)) <=> (~(i10 = i16))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5634,axiom,(~(i10 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp917')).
% 0.73/0.91 tff(5635,plain,
% 0.73/0.91 (~(i10 = i16)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 0.73/0.91 tff(5636,plain,
% 0.73/0.91 (~(i16 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5635, 5632])).
% 0.73/0.91 tff(5637,plain,
% 0.73/0.91 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3254, 5636])).
% 0.73/0.91 tff(5638,plain,
% 0.73/0.91 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5637])).
% 0.73/0.91 tff(5639,plain,
% 0.73/0.91 ((i15 = i10) <=> (i10 = i15)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5640,plain,
% 0.73/0.91 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5641,plain,
% 0.73/0.91 ((i15 = sk(a_1800, a_1850)) <=> (i10 = i15)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5640, 5639])).
% 0.73/0.91 tff(5642,plain,
% 0.73/0.91 ((i10 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5641])).
% 0.73/0.91 tff(5643,plain,
% 0.73/0.91 ((~(i10 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5642])).
% 0.73/0.91 tff(5644,plain,
% 0.73/0.91 ((~(i10 = i15)) <=> (~(i10 = i15))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5645,axiom,(~(i10 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp918')).
% 0.73/0.91 tff(5646,plain,
% 0.73/0.91 (~(i10 = i15)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 0.73/0.91 tff(5647,plain,
% 0.73/0.91 (~(i15 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5646, 5643])).
% 0.73/0.91 tff(5648,plain,
% 0.73/0.91 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3266, 5647])).
% 0.73/0.91 tff(5649,plain,
% 0.73/0.91 (select(store(a_1763, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5648])).
% 0.73/0.91 tff(5650,plain,
% 0.73/0.91 ((i14 = i10) <=> (i10 = i14)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5651,plain,
% 0.73/0.91 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5652,plain,
% 0.73/0.91 ((i14 = sk(a_1800, a_1850)) <=> (i10 = i14)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5651, 5650])).
% 0.73/0.91 tff(5653,plain,
% 0.73/0.91 ((i10 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5652])).
% 0.73/0.91 tff(5654,plain,
% 0.73/0.91 ((~(i10 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5653])).
% 0.73/0.91 tff(5655,plain,
% 0.73/0.91 ((~(i10 = i14)) <=> (~(i10 = i14))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5656,axiom,(~(i10 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp919')).
% 0.73/0.91 tff(5657,plain,
% 0.73/0.91 (~(i10 = i14)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 0.73/0.91 tff(5658,plain,
% 0.73/0.91 (~(i14 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5657, 5654])).
% 0.73/0.91 tff(5659,plain,
% 0.73/0.91 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3278, 5658])).
% 0.73/0.91 tff(5660,plain,
% 0.73/0.91 (select(store(a_1762, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5659])).
% 0.73/0.91 tff(5661,plain,
% 0.73/0.91 ((i13 = i10) <=> (i10 = i13)),
% 0.73/0.91 inference(commutativity,[status(thm)],[])).
% 0.73/0.91 tff(5662,plain,
% 0.73/0.91 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i10)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5409])).
% 0.73/0.91 tff(5663,plain,
% 0.73/0.91 ((i13 = sk(a_1800, a_1850)) <=> (i10 = i13)),
% 0.73/0.91 inference(transitivity,[status(thm)],[5662, 5661])).
% 0.73/0.91 tff(5664,plain,
% 0.73/0.91 ((i10 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5663])).
% 0.73/0.91 tff(5665,plain,
% 0.73/0.91 ((~(i10 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5664])).
% 0.73/0.91 tff(5666,plain,
% 0.73/0.91 ((~(i10 = i13)) <=> (~(i10 = i13))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5667,axiom,(~(i10 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp920')).
% 0.73/0.91 tff(5668,plain,
% 0.73/0.91 (~(i10 = i13)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 0.73/0.91 tff(5669,plain,
% 0.73/0.91 (~(i13 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5668, 5665])).
% 0.73/0.91 tff(5670,plain,
% 0.73/0.91 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3290, 5669])).
% 0.73/0.91 tff(5671,plain,
% 0.73/0.91 (select(store(a_1761, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5670])).
% 0.73/0.91 tff(5672,plain,
% 0.73/0.91 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[257, 17, 254])).
% 0.73/0.91 tff(5673,plain,
% 0.73/0.91 (select(store(a_1760, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5672])).
% 0.73/0.91 tff(5674,plain,
% 0.73/0.91 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = e_1852),
% 0.73/0.91 inference(transitivity,[status(thm)],[243, 5673, 266, 5671, 285, 5660, 304, 5649, 323, 5638, 342, 5627, 361, 5616, 380, 5605, 399, 5594, 418, 3196, 437, 5583, 456, 5572, 475, 3170, 493, 5561, 512, 5550, 531, 5539, 550, 5528, 569, 5517, 592, 5516, 611, 2284, 630, 5505, 649, 5503, 668, 5492, 687, 5481, 706, 5470, 725, 4049, 744, 5459, 767, 5451, 786, 5442, 809, 5441, 828, 5439, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.73/0.91 tff(5675,plain,
% 0.73/0.91 ((select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5674, 5437])).
% 0.73/0.91 tff(5676,plain,
% 0.73/0.91 ((e_1852 = e_1853) <=> (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850)))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5675])).
% 0.73/0.91 tff(5677,plain,
% 0.73/0.91 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5676])).
% 0.73/0.91 tff(5678,plain,
% 0.73/0.91 (~(select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850)))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[999, 5677])).
% 0.73/0.91 tff(5679,plain,
% 0.73/0.91 ($false),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[3314, 5678, 5417])).
% 0.73/0.91 tff(5680,plain,((~(i10 = sk(a_1800, a_1850))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i12 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850)) | (i32 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.91 tff(5681,plain,
% 0.73/0.91 (~(i10 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[5680, 5405, 2900, 2904, 4373, 4596, 4595, 4101, 3962, 3847, 2930, 2922, 2910, 22, 4791, 2577, 4095, 3848, 3981])).
% 0.73/0.91 tff(5682,plain,
% 0.73/0.91 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1260, 17, 5681])).
% 0.73/0.91 tff(5683,assumption,(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.91 tff(5684,plain,
% 0.73/0.91 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5683])).
% 0.73/0.91 tff(5685,assumption,(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.91 tff(5686,plain,
% 0.73/0.91 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5685])).
% 0.73/0.91 tff(5687,assumption,(i25 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.73/0.91 tff(5688,plain,
% 0.73/0.91 ((i2 = i25) <=> (i2 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.91 tff(5689,plain,
% 0.73/0.91 ((~(i2 = i25)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5688])).
% 0.73/0.91 tff(5690,plain,
% 0.73/0.91 ((~(i2 = i25)) <=> (~(i2 = i25))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5691,axiom,(~(i2 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1256')).
% 0.73/0.91 tff(5692,plain,
% 0.73/0.91 (~(i2 = i25)),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 0.73/0.91 tff(5693,plain,
% 0.73/0.91 (~(i2 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(modus_ponens,[status(thm)],[5692, 5689])).
% 0.73/0.91 tff(5694,plain,
% 0.73/0.91 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[1280, 5693])).
% 0.73/0.91 tff(5695,plain,
% 0.73/0.91 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.73/0.91 inference(symmetry,[status(thm)],[5694])).
% 0.73/0.91 tff(5696,plain,
% 0.73/0.91 (select(store(store(a_1831, i23, e23), i25, e25), i25) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[1336, 5687])).
% 0.73/0.91 tff(5697,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1831, i23, e23), i25, e25), i25) = e25)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(5698,plain,
% 0.73/0.91 (select(store(store(a_1831, i23, e23), i25, e25), i25) = e25),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[5697, 47])).
% 0.73/0.91 tff(5699,plain,
% 0.73/0.91 (e25 = select(store(store(a_1831, i23, e23), i25, e25), i25)),
% 0.73/0.91 inference(symmetry,[status(thm)],[5698])).
% 0.73/0.91 tff(5700,plain,
% 0.73/0.91 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1773, i24, e24), i25, e25), i25) = e25)),
% 0.73/0.91 inference(quant_inst,[status(thm)],[])).
% 0.73/0.91 tff(5701,plain,
% 0.73/0.91 (select(store(store(a_1773, i24, e24), i25, e25), i25) = e25),
% 0.73/0.91 inference(unit_resolution,[status(thm)],[5700, 47])).
% 0.73/0.91 tff(5702,plain,
% 0.73/0.91 (sk(a_1800, a_1850) = i25),
% 0.73/0.91 inference(symmetry,[status(thm)],[5687])).
% 0.73/0.91 tff(5703,plain,
% 0.73/0.91 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), i25)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5702])).
% 0.73/0.91 tff(5704,plain,
% 0.73/0.91 (store(a_1774, i25, e25) = store(store(a_1773, i24, e24), i25, e25)),
% 0.73/0.91 inference(symmetry,[status(thm)],[511])).
% 0.73/0.91 tff(5705,plain,
% 0.73/0.91 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5704])).
% 0.73/0.91 tff(5706,plain,
% 0.73/0.91 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = e_1853),
% 0.73/0.91 inference(transitivity,[status(thm)],[5705, 5703, 5701, 5699, 5696, 3930, 1318, 3928, 1299, 1293, 1288, 5695, 1269, 5686, 1250, 2675, 1231, 5684, 1212, 5121, 1193, 3894, 1174, 2506, 1155, 2504, 1136, 3876, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.73/0.91 tff(5707,plain,
% 0.73/0.91 ((i25 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.91 tff(5708,plain,
% 0.73/0.91 ((i25 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.73/0.91 inference(transitivity,[status(thm)],[5707, 769])).
% 0.73/0.91 tff(5709,plain,
% 0.73/0.91 ((~(i25 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[5708])).
% 0.73/0.91 tff(5710,plain,
% 0.73/0.91 ((~(i25 = i39)) <=> (~(i25 = i39))),
% 0.73/0.91 inference(rewrite,[status(thm)],[])).
% 0.73/0.91 tff(5711,axiom,(~(i25 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp414')).
% 0.73/0.92 tff(5712,plain,
% 0.73/0.92 (~(i25 = i39)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5711, 5710])).
% 0.73/0.92 tff(5713,plain,
% 0.73/0.92 (~(i39 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5712, 5709])).
% 0.73/0.92 tff(5714,plain,
% 0.73/0.92 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1912, 5713])).
% 0.73/0.92 tff(5715,plain,
% 0.73/0.92 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5714])).
% 0.73/0.92 tff(5716,plain,
% 0.73/0.92 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4760])).
% 0.73/0.92 tff(5717,plain,
% 0.73/0.92 ((i25 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5718,plain,
% 0.73/0.92 ((i25 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5717, 708])).
% 0.73/0.92 tff(5719,plain,
% 0.73/0.92 ((~(i25 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5718])).
% 0.73/0.92 tff(5720,plain,
% 0.73/0.92 ((~(i25 = i36)) <=> (~(i25 = i36))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5721,axiom,(~(i25 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp417')).
% 0.73/0.92 tff(5722,plain,
% 0.73/0.92 (~(i25 = i36)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5721, 5720])).
% 0.73/0.92 tff(5723,plain,
% 0.73/0.92 (~(i36 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5722, 5719])).
% 0.73/0.92 tff(5724,plain,
% 0.73/0.92 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[718, 17, 5723])).
% 0.73/0.92 tff(5725,plain,
% 0.73/0.92 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5724])).
% 0.73/0.92 tff(5726,plain,
% 0.73/0.92 ((i25 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5727,plain,
% 0.73/0.92 ((i25 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5726, 670])).
% 0.73/0.92 tff(5728,plain,
% 0.73/0.92 ((~(i25 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5727])).
% 0.73/0.92 tff(5729,plain,
% 0.73/0.92 ((~(i25 = i34)) <=> (~(i25 = i34))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5730,axiom,(~(i25 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp419')).
% 0.73/0.92 tff(5731,plain,
% 0.73/0.92 (~(i25 = i34)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5730, 5729])).
% 0.73/0.92 tff(5732,plain,
% 0.73/0.92 (~(i34 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5731, 5728])).
% 0.73/0.92 tff(5733,plain,
% 0.73/0.92 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[680, 17, 5732])).
% 0.73/0.92 tff(5734,plain,
% 0.73/0.92 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5733])).
% 0.73/0.92 tff(5735,plain,
% 0.73/0.92 ((i25 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5736,plain,
% 0.73/0.92 ((i25 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5735, 651])).
% 0.73/0.92 tff(5737,plain,
% 0.73/0.92 ((~(i25 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5736])).
% 0.73/0.92 tff(5738,plain,
% 0.73/0.92 ((~(i25 = i33)) <=> (~(i25 = i33))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5739,axiom,(~(i25 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp420')).
% 0.73/0.92 tff(5740,plain,
% 0.73/0.92 (~(i25 = i33)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 0.73/0.92 tff(5741,plain,
% 0.73/0.92 (~(i33 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5740, 5737])).
% 0.73/0.92 tff(5742,plain,
% 0.73/0.92 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[661, 17, 5741])).
% 0.73/0.92 tff(5743,plain,
% 0.73/0.92 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5742])).
% 0.73/0.92 tff(5744,plain,
% 0.73/0.92 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[642, 17, 3874])).
% 0.73/0.92 tff(5745,plain,
% 0.73/0.92 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5744])).
% 0.73/0.92 tff(5746,plain,
% 0.73/0.92 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[623, 17, 2603])).
% 0.73/0.92 tff(5747,plain,
% 0.73/0.92 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5746])).
% 0.73/0.92 tff(5748,plain,
% 0.73/0.92 ((i25 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5749,plain,
% 0.73/0.92 ((i25 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5748, 594])).
% 0.73/0.92 tff(5750,plain,
% 0.73/0.92 ((~(i25 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5749])).
% 0.73/0.92 tff(5751,plain,
% 0.73/0.92 ((~(i25 = i30)) <=> (~(i25 = i30))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5752,axiom,(~(i25 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp423')).
% 0.73/0.92 tff(5753,plain,
% 0.73/0.92 (~(i25 = i30)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5752, 5751])).
% 0.73/0.92 tff(5754,plain,
% 0.73/0.92 (~(i30 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5753, 5750])).
% 0.73/0.92 tff(5755,plain,
% 0.73/0.92 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[604, 17, 5754])).
% 0.73/0.92 tff(5756,plain,
% 0.73/0.92 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5755])).
% 0.73/0.92 tff(5757,assumption,(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5758,plain,
% 0.73/0.92 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5757])).
% 0.73/0.92 tff(5759,plain,
% 0.73/0.92 ((i25 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5760,plain,
% 0.73/0.92 ((i25 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5759, 552])).
% 0.73/0.92 tff(5761,plain,
% 0.73/0.92 ((~(i25 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5760])).
% 0.73/0.92 tff(5762,plain,
% 0.73/0.92 ((~(i25 = i28)) <=> (~(i25 = i28))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5763,axiom,(~(i25 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp425')).
% 0.73/0.92 tff(5764,plain,
% 0.73/0.92 (~(i25 = i28)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 0.73/0.92 tff(5765,plain,
% 0.73/0.92 (~(i28 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5764, 5761])).
% 0.73/0.92 tff(5766,plain,
% 0.73/0.92 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[562, 17, 5765])).
% 0.73/0.92 tff(5767,plain,
% 0.73/0.92 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5766])).
% 0.73/0.92 tff(5768,plain,
% 0.73/0.92 ((i25 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5769,plain,
% 0.73/0.92 ((i25 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5768, 533])).
% 0.73/0.92 tff(5770,plain,
% 0.73/0.92 ((~(i25 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5769])).
% 0.73/0.92 tff(5771,plain,
% 0.73/0.92 ((~(i25 = i27)) <=> (~(i25 = i27))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5772,axiom,(~(i25 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp426')).
% 0.73/0.92 tff(5773,plain,
% 0.73/0.92 (~(i25 = i27)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 0.73/0.92 tff(5774,plain,
% 0.73/0.92 (~(i27 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5773, 5770])).
% 0.73/0.92 tff(5775,plain,
% 0.73/0.92 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[543, 17, 5774])).
% 0.73/0.92 tff(5776,plain,
% 0.73/0.92 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5775])).
% 0.73/0.92 tff(5777,plain,
% 0.73/0.92 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = e_1852),
% 0.73/0.92 inference(transitivity,[status(thm)],[531, 5776, 550, 5767, 569, 5758, 592, 5756, 611, 5747, 630, 5745, 649, 5743, 668, 5734, 687, 4060, 706, 5725, 725, 4049, 744, 5716, 767, 5715, 786, 5442, 809, 5441, 828, 5439, 847, 2521, 866, 4376, 885, 3861, 904, 3858, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.73/0.92 tff(5778,plain,
% 0.73/0.92 ((select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5777, 5706])).
% 0.73/0.92 tff(5779,plain,
% 0.73/0.92 ((e_1852 = e_1853) <=> (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5778])).
% 0.73/0.92 tff(5780,plain,
% 0.73/0.92 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5779])).
% 0.73/0.92 tff(5781,plain,
% 0.73/0.92 (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[999, 5780])).
% 0.73/0.92 tff(5782,plain,
% 0.73/0.92 ((i25 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5687])).
% 0.73/0.92 tff(5783,plain,
% 0.73/0.92 ((i25 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(transitivity,[status(thm)],[5782, 514])).
% 0.73/0.92 tff(5784,plain,
% 0.73/0.92 ((~(i25 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5783])).
% 0.73/0.92 tff(5785,plain,
% 0.73/0.92 ((~(i25 = i26)) <=> (~(i25 = i26))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5786,axiom,(~(i25 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp427')).
% 0.73/0.92 tff(5787,plain,
% 0.73/0.92 (~(i25 = i26)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5786, 5785])).
% 0.73/0.92 tff(5788,plain,
% 0.73/0.92 (~(i26 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5787, 5784])).
% 0.73/0.92 tff(5789,plain,
% 0.73/0.92 ($false),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[524, 17, 5788, 5781])).
% 0.73/0.92 tff(5790,plain,((~(i25 = sk(a_1800, a_1850))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.92 tff(5791,plain,
% 0.73/0.92 (~(i25 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[5790, 5682, 4099, 3981, 4792, 4373, 3386, 2578, 2904, 5406, 4598, 4596, 5405, 4595, 4101, 3854, 2900, 11])).
% 0.73/0.92 tff(5792,plain,
% 0.73/0.92 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[2910])).
% 0.73/0.92 tff(5793,plain,
% 0.73/0.92 (~(i48 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[2115, 2910, 22, 2904])).
% 0.73/0.92 tff(5794,plain,
% 0.73/0.92 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1806, 5793])).
% 0.73/0.92 tff(5795,plain,
% 0.73/0.92 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5794])).
% 0.73/0.92 tff(5796,plain,
% 0.73/0.92 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[2922])).
% 0.73/0.92 tff(5797,plain,
% 0.73/0.92 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[2930])).
% 0.73/0.92 tff(5798,plain,
% 0.73/0.92 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[3847])).
% 0.73/0.92 tff(5799,plain,
% 0.73/0.92 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[3962])).
% 0.73/0.92 tff(5800,plain,
% 0.73/0.92 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4101])).
% 0.73/0.92 tff(5801,plain,
% 0.73/0.92 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4595])).
% 0.73/0.92 tff(5802,plain,
% 0.73/0.92 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5405])).
% 0.73/0.92 tff(5803,plain,
% 0.73/0.92 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4596])).
% 0.73/0.92 tff(5804,assumption,(~(i23 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5805,assumption,(~(i25 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5806,plain,
% 0.73/0.92 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4373])).
% 0.73/0.92 tff(5807,plain,
% 0.73/0.92 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4792])).
% 0.73/0.92 tff(5808,plain,
% 0.73/0.92 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[4099])).
% 0.73/0.92 tff(5809,plain,
% 0.73/0.92 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1241, 17, 5793])).
% 0.73/0.92 tff(5810,plain,
% 0.73/0.92 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5809])).
% 0.73/0.92 tff(5811,plain,
% 0.73/0.92 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5682])).
% 0.73/0.92 tff(5812,assumption,(~(i34 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5813,assumption,(~(i39 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5814,plain,
% 0.73/0.92 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1912, 5813])).
% 0.73/0.92 tff(5815,assumption,(~(i5 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.73/0.92 tff(5816,plain,
% 0.73/0.92 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1147, 5815])).
% 0.73/0.92 tff(5817,plain,
% 0.73/0.92 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5816])).
% 0.73/0.92 tff(5818,plain,
% 0.73/0.92 (store(a_1841, i37, e37) = store(store(a_1840, i3, e3), i37, e37)),
% 0.73/0.92 inference(symmetry,[status(thm)],[1173])).
% 0.73/0.92 tff(5819,plain,
% 0.73/0.92 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5818])).
% 0.73/0.92 tff(5820,plain,
% 0.73/0.92 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5819])).
% 0.73/0.92 tff(5821,plain,
% 0.73/0.92 (store(a_1840, i3, e3) = store(store(a_1839, i29, e29), i3, e3)),
% 0.73/0.92 inference(symmetry,[status(thm)],[1192])).
% 0.73/0.92 tff(5822,plain,
% 0.73/0.92 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5821])).
% 0.73/0.92 tff(5823,plain,
% 0.73/0.92 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5822])).
% 0.73/0.92 tff(5824,plain,
% 0.73/0.92 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1204, 3855])).
% 0.73/0.92 tff(5825,plain,
% 0.73/0.92 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5824])).
% 0.73/0.92 tff(5826,plain,
% 0.73/0.92 (store(a_1839, i29, e29) = store(store(a_1838, i48, e48), i29, e29)),
% 0.73/0.92 inference(symmetry,[status(thm)],[1211])).
% 0.73/0.92 tff(5827,plain,
% 0.73/0.92 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5826])).
% 0.73/0.92 tff(5828,plain,
% 0.73/0.92 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5827])).
% 0.73/0.92 tff(5829,plain,
% 0.73/0.92 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[2034])).
% 0.73/0.92 tff(5830,plain,
% 0.73/0.92 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5829])).
% 0.73/0.92 tff(5831,plain,
% 0.73/0.92 (store(a_1837, i10, e10) = store(store(a_1836, i2, e2), i10, e10)),
% 0.73/0.92 inference(symmetry,[status(thm)],[1249])).
% 0.73/0.92 tff(5832,plain,
% 0.73/0.92 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5831])).
% 0.73/0.92 tff(5833,plain,
% 0.73/0.92 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5832])).
% 0.73/0.92 tff(5834,plain,
% 0.73/0.92 (~(i10 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[5680, 4769, 5816, 1035, 5824, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983, 254, 2577, 580, 5418, 2900])).
% 0.73/0.92 tff(5835,plain,
% 0.73/0.92 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[1261, 5834])).
% 0.73/0.92 tff(5836,plain,
% 0.73/0.92 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5835])).
% 0.73/0.92 tff(5837,assumption,(i2 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.73/0.92 tff(5838,plain,
% 0.73/0.92 (sk(a_1800, a_1850) = i2),
% 0.73/0.92 inference(symmetry,[status(thm)],[5837])).
% 0.73/0.92 tff(5839,plain,
% 0.73/0.92 (store(a_1836, i2, e2) = store(store(a_1835, i50, e50), i2, e2)),
% 0.73/0.92 inference(symmetry,[status(thm)],[1268])).
% 0.73/0.92 tff(5840,plain,
% 0.73/0.92 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), i2)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5839, 5838])).
% 0.73/0.92 tff(5841,plain,
% 0.73/0.92 (select(store(store(a_1835, i50, e50), i2, e2), i2) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5840])).
% 0.73/0.92 tff(5842,plain,
% 0.73/0.92 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1835, i50, e50), i2, e2), i2) = e2)),
% 0.73/0.92 inference(quant_inst,[status(thm)],[])).
% 0.73/0.92 tff(5843,plain,
% 0.73/0.92 (select(store(store(a_1835, i50, e50), i2, e2), i2) = e2),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[5842, 47])).
% 0.73/0.92 tff(5844,plain,
% 0.73/0.92 (e2 = select(store(store(a_1835, i50, e50), i2, e2), i2)),
% 0.73/0.92 inference(symmetry,[status(thm)],[5843])).
% 0.73/0.92 tff(5845,plain,
% 0.73/0.92 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i1, e1), i2, e2), i2) = e2)),
% 0.73/0.92 inference(quant_inst,[status(thm)],[])).
% 0.73/0.92 tff(5846,plain,
% 0.73/0.92 (select(store(store(a1, i1, e1), i2, e2), i2) = e2),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[5845, 47])).
% 0.73/0.92 tff(5847,plain,
% 0.73/0.92 (select(store(store(a1, i1, e1), i2, e2), i2) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[71, 5837])).
% 0.73/0.92 tff(5848,plain,
% 0.73/0.92 (select(store(a_1751, i2, e2), sk(a_1800, a_1850)) = select(store(store(a1, i1, e1), i2, e2), i2)),
% 0.73/0.92 inference(symmetry,[status(thm)],[5847])).
% 0.73/0.92 tff(5849,plain,
% 0.73/0.92 (select(store(store(a_1751, i2, e2), i3, e3), sk(a_1800, a_1850)) = select(store(a_1751, i2, e2), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[84, 17, 3855])).
% 0.73/0.92 tff(5850,plain,
% 0.73/0.92 (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[103, 17, 4102])).
% 0.73/0.92 tff(5851,plain,
% 0.73/0.92 (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))),
% 0.73/0.92 inference(unit_resolution,[status(thm)],[122, 17, 5815])).
% 0.73/0.92 tff(5852,plain,
% 0.73/0.92 ((i6 = i2) <=> (i2 = i6)),
% 0.73/0.92 inference(commutativity,[status(thm)],[])).
% 0.73/0.92 tff(5853,plain,
% 0.73/0.92 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i2)),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.92 tff(5854,plain,
% 0.73/0.92 ((i6 = sk(a_1800, a_1850)) <=> (i2 = i6)),
% 0.73/0.92 inference(transitivity,[status(thm)],[5853, 5852])).
% 0.73/0.92 tff(5855,plain,
% 0.73/0.92 ((i2 = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(symmetry,[status(thm)],[5854])).
% 0.73/0.92 tff(5856,plain,
% 0.73/0.92 ((~(i2 = i6)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[5855])).
% 0.73/0.92 tff(5857,plain,
% 0.73/0.92 ((~(i2 = i6)) <=> (~(i2 = i6))),
% 0.73/0.92 inference(rewrite,[status(thm)],[])).
% 0.73/0.92 tff(5858,axiom,(~(i2 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1275')).
% 0.73/0.92 tff(5859,plain,
% 0.73/0.92 (~(i2 = i6)),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 0.73/0.92 tff(5860,plain,
% 0.73/0.92 (~(i6 = sk(a_1800, a_1850))),
% 0.73/0.92 inference(modus_ponens,[status(thm)],[5859, 5856])).
% 0.73/0.93 tff(5861,plain,
% 0.73/0.93 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3374, 5860])).
% 0.73/0.93 tff(5862,plain,
% 0.73/0.93 ((i7 = i2) <=> (i2 = i7)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5863,plain,
% 0.73/0.93 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5864,plain,
% 0.73/0.93 ((i7 = sk(a_1800, a_1850)) <=> (i2 = i7)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5863, 5862])).
% 0.73/0.93 tff(5865,plain,
% 0.73/0.93 ((i2 = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5864])).
% 0.73/0.93 tff(5866,plain,
% 0.73/0.93 ((~(i2 = i7)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5865])).
% 0.73/0.93 tff(5867,plain,
% 0.73/0.93 ((~(i2 = i7)) <=> (~(i2 = i7))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5868,axiom,(~(i2 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1274')).
% 0.73/0.93 tff(5869,plain,
% 0.73/0.93 (~(i2 = i7)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 0.73/0.93 tff(5870,plain,
% 0.73/0.93 (~(i7 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5869, 5866])).
% 0.73/0.93 tff(5871,plain,
% 0.73/0.93 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3362, 5870])).
% 0.73/0.93 tff(5872,plain,
% 0.73/0.93 ((i8 = i2) <=> (i2 = i8)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5873,plain,
% 0.73/0.93 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5874,plain,
% 0.73/0.93 ((i8 = sk(a_1800, a_1850)) <=> (i2 = i8)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5873, 5872])).
% 0.73/0.93 tff(5875,plain,
% 0.73/0.93 ((i2 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5874])).
% 0.73/0.93 tff(5876,plain,
% 0.73/0.93 ((~(i2 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5875])).
% 0.73/0.93 tff(5877,plain,
% 0.73/0.93 ((~(i2 = i8)) <=> (~(i2 = i8))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5878,axiom,(~(i2 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1273')).
% 0.73/0.93 tff(5879,plain,
% 0.73/0.93 (~(i2 = i8)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5878, 5877])).
% 0.73/0.93 tff(5880,plain,
% 0.73/0.93 (~(i8 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5879, 5876])).
% 0.73/0.93 tff(5881,plain,
% 0.73/0.93 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3350, 5880])).
% 0.73/0.93 tff(5882,plain,
% 0.73/0.93 ((i9 = i2) <=> (i2 = i9)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5883,plain,
% 0.73/0.93 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5884,plain,
% 0.73/0.93 ((i9 = sk(a_1800, a_1850)) <=> (i2 = i9)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5883, 5882])).
% 0.73/0.93 tff(5885,plain,
% 0.73/0.93 ((i2 = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5884])).
% 0.73/0.93 tff(5886,plain,
% 0.73/0.93 ((~(i2 = i9)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5885])).
% 0.73/0.93 tff(5887,plain,
% 0.73/0.93 ((~(i2 = i9)) <=> (~(i2 = i9))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5888,axiom,(~(i2 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1272')).
% 0.73/0.93 tff(5889,plain,
% 0.73/0.93 (~(i2 = i9)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 0.73/0.93 tff(5890,plain,
% 0.73/0.93 (~(i9 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5889, 5886])).
% 0.73/0.93 tff(5891,plain,
% 0.73/0.93 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3338, 5890])).
% 0.73/0.93 tff(5892,plain,
% 0.73/0.93 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[217, 17, 5834])).
% 0.73/0.93 tff(5893,plain,
% 0.73/0.93 ((i11 = i2) <=> (i2 = i11)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5894,plain,
% 0.73/0.93 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5895,plain,
% 0.73/0.93 ((i11 = sk(a_1800, a_1850)) <=> (i2 = i11)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5894, 5893])).
% 0.73/0.93 tff(5896,plain,
% 0.73/0.93 ((i2 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5895])).
% 0.73/0.93 tff(5897,plain,
% 0.73/0.93 ((~(i2 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5896])).
% 0.73/0.93 tff(5898,plain,
% 0.73/0.93 ((~(i2 = i11)) <=> (~(i2 = i11))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5899,axiom,(~(i2 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1270')).
% 0.73/0.93 tff(5900,plain,
% 0.73/0.93 (~(i2 = i11)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 0.73/0.93 tff(5901,plain,
% 0.73/0.93 (~(i11 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5900, 5897])).
% 0.73/0.93 tff(5902,plain,
% 0.73/0.93 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3314, 5901])).
% 0.73/0.93 tff(5903,plain,
% 0.73/0.93 ((i13 = i2) <=> (i2 = i13)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5904,plain,
% 0.73/0.93 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5905,plain,
% 0.73/0.93 ((i13 = sk(a_1800, a_1850)) <=> (i2 = i13)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5904, 5903])).
% 0.73/0.93 tff(5906,plain,
% 0.73/0.93 ((i2 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5905])).
% 0.73/0.93 tff(5907,plain,
% 0.73/0.93 ((~(i2 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5906])).
% 0.73/0.93 tff(5908,plain,
% 0.73/0.93 ((~(i2 = i13)) <=> (~(i2 = i13))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5909,axiom,(~(i2 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1268')).
% 0.73/0.93 tff(5910,plain,
% 0.73/0.93 (~(i2 = i13)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 0.73/0.93 tff(5911,plain,
% 0.73/0.93 (~(i13 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5910, 5907])).
% 0.73/0.93 tff(5912,plain,
% 0.73/0.93 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3290, 5911])).
% 0.73/0.93 tff(5913,plain,
% 0.73/0.93 ((i14 = i2) <=> (i2 = i14)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5914,plain,
% 0.73/0.93 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5915,plain,
% 0.73/0.93 ((i14 = sk(a_1800, a_1850)) <=> (i2 = i14)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5914, 5913])).
% 0.73/0.93 tff(5916,plain,
% 0.73/0.93 ((i2 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5915])).
% 0.73/0.93 tff(5917,plain,
% 0.73/0.93 ((~(i2 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5916])).
% 0.73/0.93 tff(5918,plain,
% 0.73/0.93 ((~(i2 = i14)) <=> (~(i2 = i14))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5919,axiom,(~(i2 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1267')).
% 0.73/0.93 tff(5920,plain,
% 0.73/0.93 (~(i2 = i14)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 0.73/0.93 tff(5921,plain,
% 0.73/0.93 (~(i14 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5920, 5917])).
% 0.73/0.93 tff(5922,plain,
% 0.73/0.93 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.73/0.93 inference(unit_resolution,[status(thm)],[3278, 5921])).
% 0.73/0.93 tff(5923,plain,
% 0.73/0.93 ((i15 = i2) <=> (i2 = i15)),
% 0.73/0.93 inference(commutativity,[status(thm)],[])).
% 0.73/0.93 tff(5924,plain,
% 0.73/0.93 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i2)),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.73/0.93 tff(5925,plain,
% 0.73/0.93 ((i15 = sk(a_1800, a_1850)) <=> (i2 = i15)),
% 0.73/0.93 inference(transitivity,[status(thm)],[5924, 5923])).
% 0.73/0.93 tff(5926,plain,
% 0.73/0.93 ((i2 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.73/0.93 inference(symmetry,[status(thm)],[5925])).
% 0.73/0.93 tff(5927,plain,
% 0.73/0.93 ((~(i2 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.73/0.93 inference(monotonicity,[status(thm)],[5926])).
% 0.73/0.93 tff(5928,plain,
% 0.73/0.93 ((~(i2 = i15)) <=> (~(i2 = i15))),
% 0.73/0.93 inference(rewrite,[status(thm)],[])).
% 0.73/0.93 tff(5929,axiom,(~(i2 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1266')).
% 0.73/0.93 tff(5930,plain,
% 0.73/0.93 (~(i2 = i15)),
% 0.73/0.93 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 0.77/0.93 tff(5931,plain,
% 0.77/0.93 (~(i15 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5930, 5927])).
% 0.77/0.93 tff(5932,plain,
% 0.77/0.93 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3266, 5931])).
% 0.77/0.93 tff(5933,plain,
% 0.77/0.93 ((i16 = i2) <=> (i2 = i16)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5934,plain,
% 0.77/0.93 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5935,plain,
% 0.77/0.93 ((i16 = sk(a_1800, a_1850)) <=> (i2 = i16)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5934, 5933])).
% 0.77/0.93 tff(5936,plain,
% 0.77/0.93 ((i2 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5935])).
% 0.77/0.93 tff(5937,plain,
% 0.77/0.93 ((~(i2 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5936])).
% 0.77/0.93 tff(5938,plain,
% 0.77/0.93 ((~(i2 = i16)) <=> (~(i2 = i16))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5939,axiom,(~(i2 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1265')).
% 0.77/0.93 tff(5940,plain,
% 0.77/0.93 (~(i2 = i16)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 0.77/0.93 tff(5941,plain,
% 0.77/0.93 (~(i16 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5940, 5937])).
% 0.77/0.93 tff(5942,plain,
% 0.77/0.93 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3254, 5941])).
% 0.77/0.93 tff(5943,plain,
% 0.77/0.93 ((i17 = i2) <=> (i2 = i17)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5944,plain,
% 0.77/0.93 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5945,plain,
% 0.77/0.93 ((i17 = sk(a_1800, a_1850)) <=> (i2 = i17)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5944, 5943])).
% 0.77/0.93 tff(5946,plain,
% 0.77/0.93 ((i2 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5945])).
% 0.77/0.93 tff(5947,plain,
% 0.77/0.93 ((~(i2 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5946])).
% 0.77/0.93 tff(5948,plain,
% 0.77/0.93 ((~(i2 = i17)) <=> (~(i2 = i17))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5949,axiom,(~(i2 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1264')).
% 0.77/0.93 tff(5950,plain,
% 0.77/0.93 (~(i2 = i17)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 0.77/0.93 tff(5951,plain,
% 0.77/0.93 (~(i17 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5950, 5947])).
% 0.77/0.93 tff(5952,plain,
% 0.77/0.93 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3242, 5951])).
% 0.77/0.93 tff(5953,plain,
% 0.77/0.93 ((i18 = i2) <=> (i2 = i18)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5954,plain,
% 0.77/0.93 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5955,plain,
% 0.77/0.93 ((i18 = sk(a_1800, a_1850)) <=> (i2 = i18)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5954, 5953])).
% 0.77/0.93 tff(5956,plain,
% 0.77/0.93 ((i2 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5955])).
% 0.77/0.93 tff(5957,plain,
% 0.77/0.93 ((~(i2 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5956])).
% 0.77/0.93 tff(5958,plain,
% 0.77/0.93 ((~(i2 = i18)) <=> (~(i2 = i18))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5959,axiom,(~(i2 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1263')).
% 0.77/0.93 tff(5960,plain,
% 0.77/0.93 (~(i2 = i18)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5959, 5958])).
% 0.77/0.93 tff(5961,plain,
% 0.77/0.93 (~(i18 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5960, 5957])).
% 0.77/0.93 tff(5962,plain,
% 0.77/0.93 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3230, 5961])).
% 0.77/0.93 tff(5963,plain,
% 0.77/0.93 ((i19 = i2) <=> (i2 = i19)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5964,plain,
% 0.77/0.93 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5965,plain,
% 0.77/0.93 ((i19 = sk(a_1800, a_1850)) <=> (i2 = i19)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5964, 5963])).
% 0.77/0.93 tff(5966,plain,
% 0.77/0.93 ((i2 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5965])).
% 0.77/0.93 tff(5967,plain,
% 0.77/0.93 ((~(i2 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5966])).
% 0.77/0.93 tff(5968,plain,
% 0.77/0.93 ((~(i2 = i19)) <=> (~(i2 = i19))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5969,axiom,(~(i2 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1262')).
% 0.77/0.93 tff(5970,plain,
% 0.77/0.93 (~(i2 = i19)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5969, 5968])).
% 0.77/0.93 tff(5971,plain,
% 0.77/0.93 (~(i19 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5970, 5967])).
% 0.77/0.93 tff(5972,plain,
% 0.77/0.93 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3218, 5971])).
% 0.77/0.93 tff(5973,plain,
% 0.77/0.93 ((i20 = i2) <=> (i2 = i20)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5974,plain,
% 0.77/0.93 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5975,plain,
% 0.77/0.93 ((i20 = sk(a_1800, a_1850)) <=> (i2 = i20)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5974, 5973])).
% 0.77/0.93 tff(5976,plain,
% 0.77/0.93 ((i2 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5975])).
% 0.77/0.93 tff(5977,plain,
% 0.77/0.93 ((~(i2 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5976])).
% 0.77/0.93 tff(5978,plain,
% 0.77/0.93 ((~(i2 = i20)) <=> (~(i2 = i20))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5979,axiom,(~(i2 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1261')).
% 0.77/0.93 tff(5980,plain,
% 0.77/0.93 (~(i2 = i20)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 0.77/0.93 tff(5981,plain,
% 0.77/0.93 (~(i20 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5980, 5977])).
% 0.77/0.93 tff(5982,plain,
% 0.77/0.93 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3206, 5981])).
% 0.77/0.93 tff(5983,plain,
% 0.77/0.93 ((i22 = i2) <=> (i2 = i22)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5984,plain,
% 0.77/0.93 ((i22 = sk(a_1800, a_1850)) <=> (i22 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5985,plain,
% 0.77/0.93 ((i22 = sk(a_1800, a_1850)) <=> (i2 = i22)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5984, 5983])).
% 0.77/0.93 tff(5986,plain,
% 0.77/0.93 ((i2 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5985])).
% 0.77/0.93 tff(5987,plain,
% 0.77/0.93 ((~(i2 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5986])).
% 0.77/0.93 tff(5988,plain,
% 0.77/0.93 ((~(i2 = i22)) <=> (~(i2 = i22))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5989,axiom,(~(i2 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1259')).
% 0.77/0.93 tff(5990,plain,
% 0.77/0.93 (~(i2 = i22)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5989, 5988])).
% 0.77/0.93 tff(5991,plain,
% 0.77/0.93 (~(i22 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5990, 5987])).
% 0.77/0.93 tff(5992,plain,
% 0.77/0.93 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3192, 5991])).
% 0.77/0.93 tff(5993,plain,
% 0.77/0.93 ((i23 = i2) <=> (i2 = i23)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(5994,plain,
% 0.77/0.93 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(5995,plain,
% 0.77/0.93 ((i23 = sk(a_1800, a_1850)) <=> (i2 = i23)),
% 0.77/0.93 inference(transitivity,[status(thm)],[5994, 5993])).
% 0.77/0.93 tff(5996,plain,
% 0.77/0.93 ((i2 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[5995])).
% 0.77/0.93 tff(5997,plain,
% 0.77/0.93 ((~(i2 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5996])).
% 0.77/0.93 tff(5998,plain,
% 0.77/0.93 ((~(i2 = i23)) <=> (~(i2 = i23))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(5999,axiom,(~(i2 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1258')).
% 0.77/0.93 tff(6000,plain,
% 0.77/0.93 (~(i2 = i23)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5999, 5998])).
% 0.77/0.93 tff(6001,plain,
% 0.77/0.93 (~(i23 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6000, 5997])).
% 0.77/0.93 tff(6002,plain,
% 0.77/0.93 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[3180, 6001])).
% 0.77/0.93 tff(6003,plain,
% 0.77/0.93 ((i25 = i2) <=> (i2 = i25)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6004,plain,
% 0.77/0.93 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6005,plain,
% 0.77/0.93 ((i25 = sk(a_1800, a_1850)) <=> (i2 = i25)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6004, 6003])).
% 0.77/0.93 tff(6006,plain,
% 0.77/0.93 ((i2 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6005])).
% 0.77/0.93 tff(6007,plain,
% 0.77/0.93 ((~(i2 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6006])).
% 0.77/0.93 tff(6008,plain,
% 0.77/0.93 (~(i25 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[5692, 6007])).
% 0.77/0.93 tff(6009,plain,
% 0.77/0.93 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2350, 6008])).
% 0.77/0.93 tff(6010,plain,
% 0.77/0.93 ((i26 = i2) <=> (i2 = i26)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6011,plain,
% 0.77/0.93 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6012,plain,
% 0.77/0.93 ((i26 = sk(a_1800, a_1850)) <=> (i2 = i26)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6011, 6010])).
% 0.77/0.93 tff(6013,plain,
% 0.77/0.93 ((i2 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6012])).
% 0.77/0.93 tff(6014,plain,
% 0.77/0.93 ((~(i2 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6013])).
% 0.77/0.93 tff(6015,plain,
% 0.77/0.93 ((~(i2 = i26)) <=> (~(i2 = i26))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6016,axiom,(~(i2 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1255')).
% 0.77/0.93 tff(6017,plain,
% 0.77/0.93 (~(i2 = i26)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6016, 6015])).
% 0.77/0.93 tff(6018,plain,
% 0.77/0.93 (~(i26 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6017, 6014])).
% 0.77/0.93 tff(6019,plain,
% 0.77/0.93 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2342, 6018])).
% 0.77/0.93 tff(6020,plain,
% 0.77/0.93 ((i27 = i2) <=> (i2 = i27)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6021,plain,
% 0.77/0.93 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6022,plain,
% 0.77/0.93 ((i27 = sk(a_1800, a_1850)) <=> (i2 = i27)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6021, 6020])).
% 0.77/0.93 tff(6023,plain,
% 0.77/0.93 ((i2 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6022])).
% 0.77/0.93 tff(6024,plain,
% 0.77/0.93 ((~(i2 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6023])).
% 0.77/0.93 tff(6025,plain,
% 0.77/0.93 ((~(i2 = i27)) <=> (~(i2 = i27))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6026,axiom,(~(i2 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1254')).
% 0.77/0.93 tff(6027,plain,
% 0.77/0.93 (~(i2 = i27)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 0.77/0.93 tff(6028,plain,
% 0.77/0.93 (~(i27 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6027, 6024])).
% 0.77/0.93 tff(6029,plain,
% 0.77/0.93 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2330, 6028])).
% 0.77/0.93 tff(6030,plain,
% 0.77/0.93 ((i28 = i2) <=> (i2 = i28)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6031,plain,
% 0.77/0.93 ((i28 = sk(a_1800, a_1850)) <=> (i28 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6032,plain,
% 0.77/0.93 ((i28 = sk(a_1800, a_1850)) <=> (i2 = i28)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6031, 6030])).
% 0.77/0.93 tff(6033,plain,
% 0.77/0.93 ((i2 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6032])).
% 0.77/0.93 tff(6034,plain,
% 0.77/0.93 ((~(i2 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6033])).
% 0.77/0.93 tff(6035,plain,
% 0.77/0.93 ((~(i2 = i28)) <=> (~(i2 = i28))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6036,axiom,(~(i2 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1253')).
% 0.77/0.93 tff(6037,plain,
% 0.77/0.93 (~(i2 = i28)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 0.77/0.93 tff(6038,plain,
% 0.77/0.93 (~(i28 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6037, 6034])).
% 0.77/0.93 tff(6039,plain,
% 0.77/0.93 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2318, 6038])).
% 0.77/0.93 tff(6040,plain,
% 0.77/0.93 ((i30 = i2) <=> (i2 = i30)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6041,plain,
% 0.77/0.93 ((i30 = sk(a_1800, a_1850)) <=> (i30 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6042,plain,
% 0.77/0.93 ((i30 = sk(a_1800, a_1850)) <=> (i2 = i30)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6041, 6040])).
% 0.77/0.93 tff(6043,plain,
% 0.77/0.93 ((i2 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6042])).
% 0.77/0.93 tff(6044,plain,
% 0.77/0.93 ((~(i2 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6043])).
% 0.77/0.93 tff(6045,plain,
% 0.77/0.93 ((~(i2 = i30)) <=> (~(i2 = i30))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6046,axiom,(~(i2 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1251')).
% 0.77/0.93 tff(6047,plain,
% 0.77/0.93 (~(i2 = i30)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 0.77/0.93 tff(6048,plain,
% 0.77/0.93 (~(i30 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6047, 6044])).
% 0.77/0.93 tff(6049,plain,
% 0.77/0.93 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2294, 6048])).
% 0.77/0.93 tff(6050,plain,
% 0.77/0.93 ((i33 = i2) <=> (i2 = i33)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6051,plain,
% 0.77/0.93 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6052,plain,
% 0.77/0.93 ((i33 = sk(a_1800, a_1850)) <=> (i2 = i33)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6051, 6050])).
% 0.77/0.93 tff(6053,plain,
% 0.77/0.93 ((i2 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6052])).
% 0.77/0.93 tff(6054,plain,
% 0.77/0.93 ((~(i2 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6053])).
% 0.77/0.93 tff(6055,plain,
% 0.77/0.93 ((~(i2 = i33)) <=> (~(i2 = i33))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6056,axiom,(~(i2 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1248')).
% 0.77/0.93 tff(6057,plain,
% 0.77/0.93 (~(i2 = i33)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 0.77/0.93 tff(6058,plain,
% 0.77/0.93 (~(i33 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6057, 6054])).
% 0.77/0.93 tff(6059,plain,
% 0.77/0.93 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1984, 6058])).
% 0.77/0.93 tff(6060,plain,
% 0.77/0.93 ((i34 = i2) <=> (i2 = i34)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6061,plain,
% 0.77/0.93 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6062,plain,
% 0.77/0.93 ((i34 = sk(a_1800, a_1850)) <=> (i2 = i34)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6061, 6060])).
% 0.77/0.93 tff(6063,plain,
% 0.77/0.93 ((i2 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6062])).
% 0.77/0.93 tff(6064,plain,
% 0.77/0.93 ((~(i2 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6063])).
% 0.77/0.93 tff(6065,plain,
% 0.77/0.93 ((~(i2 = i34)) <=> (~(i2 = i34))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6066,axiom,(~(i2 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1247')).
% 0.77/0.93 tff(6067,plain,
% 0.77/0.93 (~(i2 = i34)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 0.77/0.93 tff(6068,plain,
% 0.77/0.93 (~(i34 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6067, 6064])).
% 0.77/0.93 tff(6069,plain,
% 0.77/0.93 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1972, 6068])).
% 0.77/0.93 tff(6070,plain,
% 0.77/0.93 ((i35 = i2) <=> (i2 = i35)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6071,plain,
% 0.77/0.93 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6072,plain,
% 0.77/0.93 ((i35 = sk(a_1800, a_1850)) <=> (i2 = i35)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6071, 6070])).
% 0.77/0.93 tff(6073,plain,
% 0.77/0.93 ((i2 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6072])).
% 0.77/0.93 tff(6074,plain,
% 0.77/0.93 ((~(i2 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6073])).
% 0.77/0.93 tff(6075,plain,
% 0.77/0.93 ((~(i2 = i35)) <=> (~(i2 = i35))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6076,axiom,(~(i2 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1246')).
% 0.77/0.93 tff(6077,plain,
% 0.77/0.93 (~(i2 = i35)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 0.77/0.93 tff(6078,plain,
% 0.77/0.93 (~(i35 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6077, 6074])).
% 0.77/0.93 tff(6079,plain,
% 0.77/0.93 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1960, 6078])).
% 0.77/0.93 tff(6080,plain,
% 0.77/0.93 ((i36 = i2) <=> (i2 = i36)),
% 0.77/0.93 inference(commutativity,[status(thm)],[])).
% 0.77/0.93 tff(6081,plain,
% 0.77/0.93 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i2)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5838])).
% 0.77/0.93 tff(6082,plain,
% 0.77/0.93 ((i36 = sk(a_1800, a_1850)) <=> (i2 = i36)),
% 0.77/0.93 inference(transitivity,[status(thm)],[6081, 6080])).
% 0.77/0.93 tff(6083,plain,
% 0.77/0.93 ((i2 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6082])).
% 0.77/0.93 tff(6084,plain,
% 0.77/0.93 ((~(i2 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6083])).
% 0.77/0.93 tff(6085,plain,
% 0.77/0.93 ((~(i2 = i36)) <=> (~(i2 = i36))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(6086,axiom,(~(i2 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1245')).
% 0.77/0.93 tff(6087,plain,
% 0.77/0.93 (~(i2 = i36)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 0.77/0.93 tff(6088,plain,
% 0.77/0.93 (~(i36 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[6087, 6084])).
% 0.77/0.93 tff(6089,plain,
% 0.77/0.93 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1948, 6088])).
% 0.77/0.93 tff(6090,plain,
% 0.77/0.93 ((i2 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.77/0.93 inference(monotonicity,[status(thm)],[5837])).
% 0.77/0.93 tff(6091,plain,
% 0.77/0.93 ((i2 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(transitivity,[status(thm)],[6090, 746])).
% 0.77/0.93 tff(6092,plain,
% 0.77/0.93 ((~(i2 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[6091])).
% 0.77/0.93 tff(6093,plain,
% 0.77/0.93 (~(i38 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[4517, 6092])).
% 0.77/0.93 tff(6094,plain,
% 0.77/0.93 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1924, 6093])).
% 0.77/0.93 tff(6095,assumption,(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))), introduced(assumption)).
% 0.77/0.93 tff(6096,plain,
% 0.77/0.93 (e_1852 = e_1853),
% 0.77/0.93 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 6094, 745, 4048, 726, 6089, 707, 6079, 688, 6069, 669, 6059, 650, 5504, 631, 2283, 612, 6049, 593, 4287, 570, 6039, 551, 6029, 532, 6019, 513, 6009, 494, 3169, 476, 6002, 457, 5992, 438, 3195, 419, 5982, 400, 5972, 381, 5962, 362, 5952, 343, 5942, 324, 5932, 305, 5922, 286, 5912, 267, 5672, 244, 5902, 225, 5892, 206, 5891, 187, 5881, 168, 5871, 149, 5861, 130, 5851, 111, 5850, 92, 5849, 5848, 5846, 5844, 5841, 5836, 5833, 5428, 5830, 5426, 5828, 5825, 5823, 5424, 5820, 5422, 4604, 5817, 3853, 5420, 3390, 4104, 2928, 2944, 2920, 2917, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.77/0.93 tff(6097,plain,
% 0.77/0.93 ($false),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[999, 6096])).
% 0.77/0.93 tff(6098,plain,((~(i2 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850)) | (i32 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.77/0.93 tff(6099,plain,
% 0.77/0.93 (~(i2 = sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[6098, 5814, 2900, 4596, 5405, 4595, 4101, 3962, 3847, 2930, 2922, 2910, 22, 3855, 4372, 4791, 2577, 4095, 3848, 2904])).
% 0.77/0.93 tff(6100,plain,
% 0.77/0.93 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1280, 6099])).
% 0.77/0.93 tff(6101,assumption,(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))), introduced(assumption)).
% 0.77/0.93 tff(6102,plain,
% 0.77/0.93 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6101])).
% 0.77/0.93 tff(6103,assumption,(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))), introduced(assumption)).
% 0.77/0.93 tff(6104,plain,
% 0.77/0.93 (select(store(a_1834, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850))),
% 0.77/0.93 inference(symmetry,[status(thm)],[6103])).
% 0.77/0.94 tff(6105,assumption,(i36 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.77/0.94 tff(6106,plain,
% 0.77/0.94 ((i35 = i36) <=> (i35 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6105])).
% 0.77/0.94 tff(6107,plain,
% 0.77/0.94 ((~(i35 = i36)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6106])).
% 0.77/0.94 tff(6108,plain,
% 0.77/0.94 ((~(i35 = i36)) <=> (~(i35 = i36))),
% 0.77/0.94 inference(rewrite,[status(thm)],[])).
% 0.77/0.94 tff(6109,axiom,(~(i35 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp222')).
% 0.77/0.94 tff(6110,plain,
% 0.77/0.94 (~(i35 = i36)),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 0.77/0.94 tff(6111,plain,
% 0.77/0.94 (~(i35 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[6110, 6107])).
% 0.77/0.94 tff(6112,plain,
% 0.77/0.94 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[1310, 6111])).
% 0.77/0.94 tff(6113,plain,
% 0.77/0.94 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6112])).
% 0.77/0.94 tff(6114,plain,
% 0.77/0.94 (sk(a_1800, a_1850) = i36),
% 0.77/0.94 inference(symmetry,[status(thm)],[6105])).
% 0.77/0.94 tff(6115,plain,
% 0.77/0.94 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i36)),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6114])).
% 0.77/0.94 tff(6116,plain,
% 0.77/0.94 ((i25 = i36) <=> (i25 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6115])).
% 0.77/0.94 tff(6117,plain,
% 0.77/0.94 ((~(i25 = i36)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6116])).
% 0.77/0.94 tff(6118,plain,
% 0.77/0.94 (~(i25 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[5722, 6117])).
% 0.77/0.94 tff(6119,plain,
% 0.77/0.94 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[1348, 6118])).
% 0.77/0.94 tff(6120,plain,
% 0.77/0.94 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6119])).
% 0.77/0.94 tff(6121,plain,
% 0.77/0.94 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i36)),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6114])).
% 0.77/0.94 tff(6122,plain,
% 0.77/0.94 ((i23 = i36) <=> (i23 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6121])).
% 0.77/0.94 tff(6123,plain,
% 0.77/0.94 ((~(i23 = i36)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6122])).
% 0.77/0.94 tff(6124,plain,
% 0.77/0.94 ((~(i23 = i36)) <=> (~(i23 = i36))),
% 0.77/0.94 inference(rewrite,[status(thm)],[])).
% 0.77/0.94 tff(6125,axiom,(~(i23 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp468')).
% 0.77/0.94 tff(6126,plain,
% 0.77/0.94 (~(i23 = i36)),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[6125, 6124])).
% 0.77/0.94 tff(6127,plain,
% 0.77/0.94 (~(i23 = sk(a_1800, a_1850))),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[6126, 6123])).
% 0.77/0.94 tff(6128,plain,
% 0.77/0.94 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[1367, 6127])).
% 0.77/0.94 tff(6129,plain,
% 0.77/0.94 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6128])).
% 0.77/0.94 tff(6130,plain,
% 0.77/0.94 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[1385, 17, 755])).
% 0.77/0.94 tff(6131,plain,
% 0.77/0.94 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.77/0.94 inference(symmetry,[status(thm)],[6130])).
% 0.77/0.94 tff(6132,plain,
% 0.77/0.94 (select(store(store(a_1827, i11, e11), i36, e36), i36) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[1412, 6105])).
% 0.77/0.94 tff(6133,plain,
% 0.77/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1827, i11, e11), i36, e36), i36) = e36)),
% 0.77/0.94 inference(quant_inst,[status(thm)],[])).
% 0.77/0.94 tff(6134,plain,
% 0.77/0.94 (select(store(store(a_1827, i11, e11), i36, e36), i36) = e36),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[6133, 47])).
% 0.77/0.94 tff(6135,plain,
% 0.77/0.94 (e36 = select(store(store(a_1827, i11, e11), i36, e36), i36)),
% 0.77/0.94 inference(symmetry,[status(thm)],[6134])).
% 0.77/0.94 tff(6136,plain,
% 0.77/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1784, i35, e35), i36, e36), i36) = e36)),
% 0.77/0.94 inference(quant_inst,[status(thm)],[])).
% 0.77/0.94 tff(6137,plain,
% 0.77/0.94 (select(store(store(a_1784, i35, e35), i36, e36), i36) = e36),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[6136, 47])).
% 0.77/0.94 tff(6138,plain,
% 0.77/0.94 (store(a_1785, i36, e36) = store(store(a_1784, i35, e35), i36, e36)),
% 0.77/0.94 inference(symmetry,[status(thm)],[724])).
% 0.77/0.94 tff(6139,plain,
% 0.77/0.94 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), i36)),
% 0.77/0.94 inference(monotonicity,[status(thm)],[6138, 6114])).
% 0.77/0.94 tff(6140,assumption,(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850))), introduced(assumption)).
% 0.77/0.94 tff(6141,plain,
% 0.78/0.94 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1924, 755])).
% 0.78/0.94 tff(6142,plain,
% 0.78/0.94 (store(a_1787, i38, e38) = store(store(a_1786, i37, e37), i38, e38)),
% 0.78/0.94 inference(symmetry,[status(thm)],[766])).
% 0.78/0.94 tff(6143,plain,
% 0.78/0.94 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6142])).
% 0.78/0.94 tff(6144,plain,
% 0.78/0.94 (store(a_1788, i39, e39) = store(store(a_1787, i38, e38), i39, e39)),
% 0.78/0.94 inference(symmetry,[status(thm)],[785])).
% 0.78/0.94 tff(6145,plain,
% 0.78/0.94 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6144])).
% 0.78/0.94 tff(6146,plain,
% 0.78/0.94 (store(a_1789, i40, e40) = store(store(a_1788, i39, e39), i40, e40)),
% 0.78/0.94 inference(symmetry,[status(thm)],[808])).
% 0.78/0.94 tff(6147,plain,
% 0.78/0.94 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6146])).
% 0.78/0.94 tff(6148,plain,
% 0.78/0.94 (store(a_1790, i41, e41) = store(store(a_1789, i40, e40), i41, e41)),
% 0.78/0.94 inference(symmetry,[status(thm)],[827])).
% 0.78/0.94 tff(6149,plain,
% 0.78/0.94 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6148])).
% 0.78/0.94 tff(6150,plain,
% 0.78/0.94 (store(a_1791, i42, e42) = store(store(a_1790, i41, e41), i42, e42)),
% 0.78/0.94 inference(symmetry,[status(thm)],[846])).
% 0.78/0.94 tff(6151,plain,
% 0.78/0.94 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6150])).
% 0.78/0.94 tff(6152,plain,
% 0.78/0.94 (store(a_1792, i43, e43) = store(store(a_1791, i42, e42), i43, e43)),
% 0.78/0.94 inference(symmetry,[status(thm)],[865])).
% 0.78/0.94 tff(6153,plain,
% 0.78/0.94 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6152])).
% 0.78/0.94 tff(6154,plain,
% 0.78/0.94 (store(a_1793, i44, e44) = store(store(a_1792, i43, e43), i44, e44)),
% 0.78/0.94 inference(symmetry,[status(thm)],[884])).
% 0.78/0.94 tff(6155,plain,
% 0.78/0.94 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6154])).
% 0.78/0.94 tff(6156,plain,
% 0.78/0.94 (store(a_1794, i45, e45) = store(store(a_1793, i44, e44), i45, e45)),
% 0.78/0.94 inference(symmetry,[status(thm)],[903])).
% 0.78/0.94 tff(6157,plain,
% 0.78/0.94 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6156])).
% 0.78/0.94 tff(6158,plain,
% 0.78/0.94 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[2884])).
% 0.78/0.94 tff(6159,plain,
% 0.78/0.94 (e_1852 = e_1853),
% 0.78/0.94 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 1740, 2889, 2117, 2887, 1756, 6158, 3402, 6157, 1764, 6155, 4806, 6153, 2520, 6151, 5438, 6149, 5440, 6147, 4769, 6145, 6095, 6143, 6141, 2516, 6140, 6139, 6137, 6135, 6132, 4898, 1394, 6131, 1375, 6129, 1356, 6120, 1337, 3496, 1318, 6113, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 5428, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2355, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.78/0.94 tff(6160,plain,
% 0.78/0.94 ($false),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[999, 6159])).
% 0.78/0.94 tff(6161,plain,((~(i36 = sk(a_1800, a_1850))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i44 = sk(a_1800, a_1850)) | (i38 = sk(a_1800, a_1850)) | (i46 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.94 tff(6162,plain,
% 0.78/0.94 (~(i36 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[6161, 4048, 2910, 2922, 2929, 3847, 4101, 4595, 4596, 5405, 5814, 1292, 6100, 5682, 4099, 3981, 3893, 4792, 4373, 3849, 3386, 2578, 2904, 3961, 4597, 22])).
% 0.78/0.94 tff(6163,plain,
% 0.78/0.94 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1423, 17, 6162])).
% 0.78/0.94 tff(6164,plain,
% 0.78/0.94 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1538, 4594])).
% 0.78/0.94 tff(6165,plain,
% 0.78/0.94 (~(i43 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[5104, 2505, 3856, 3875, 1775, 1774, 1035, 4805, 2503, 11])).
% 0.78/0.94 tff(6166,plain,
% 0.78/0.94 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1864, 6165])).
% 0.78/0.94 tff(6167,plain,
% 0.78/0.94 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6166])).
% 0.78/0.94 tff(6168,assumption,(i33 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.94 tff(6169,plain,
% 0.78/0.94 ((i33 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.94 tff(6170,plain,
% 0.78/0.94 ((i33 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(transitivity,[status(thm)],[6169, 769])).
% 0.78/0.94 tff(6171,plain,
% 0.78/0.94 ((~(i33 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6170])).
% 0.78/0.94 tff(6172,plain,
% 0.78/0.94 ((~(i33 = i39)) <=> (~(i33 = i39))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(6173,axiom,(~(i33 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp250')).
% 0.78/0.94 tff(6174,plain,
% 0.78/0.94 (~(i33 = i39)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 0.78/0.94 tff(6175,plain,
% 0.78/0.94 (~(i39 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6174, 6171])).
% 0.78/0.94 tff(6176,plain,
% 0.78/0.94 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1912, 6175])).
% 0.78/0.94 tff(6177,plain,
% 0.78/0.94 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6176])).
% 0.78/0.94 tff(6178,plain,
% 0.78/0.94 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[760, 755])).
% 0.78/0.94 tff(6179,plain,
% 0.78/0.94 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6178])).
% 0.78/0.94 tff(6180,plain,
% 0.78/0.94 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6140])).
% 0.78/0.94 tff(6181,assumption,(~(i36 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.94 tff(6182,plain,
% 0.78/0.94 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1948, 6181])).
% 0.78/0.94 tff(6183,plain,
% 0.78/0.94 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6182])).
% 0.78/0.94 tff(6184,plain,
% 0.78/0.94 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1972, 5812])).
% 0.78/0.94 tff(6185,plain,
% 0.78/0.94 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6184])).
% 0.78/0.94 tff(6186,plain,
% 0.78/0.94 (select(store(store(a_1781, i32, e32), i33, e33), i33) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[667, 6168])).
% 0.78/0.94 tff(6187,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1781, i32, e32), i33, e33), i33) = e33)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(6188,plain,
% 0.78/0.94 (select(store(store(a_1781, i32, e32), i33, e33), i33) = e33),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[6187, 47])).
% 0.78/0.94 tff(6189,plain,
% 0.78/0.94 (e33 = select(store(store(a_1781, i32, e32), i33, e33), i33)),
% 0.78/0.94 inference(symmetry,[status(thm)],[6188])).
% 0.78/0.94 tff(6190,plain,
% 0.78/0.94 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1818, i7, e7), i33, e33), i33) = e33)),
% 0.78/0.94 inference(quant_inst,[status(thm)],[])).
% 0.78/0.94 tff(6191,plain,
% 0.78/0.94 (select(store(store(a_1818, i7, e7), i33, e33), i33) = e33),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[6190, 47])).
% 0.78/0.94 tff(6192,plain,
% 0.78/0.94 (sk(a_1800, a_1850) = i33),
% 0.78/0.94 inference(symmetry,[status(thm)],[6168])).
% 0.78/0.94 tff(6193,plain,
% 0.78/0.94 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), i33)),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6192])).
% 0.78/0.94 tff(6194,plain,
% 0.78/0.94 (store(a_1819, i33, e33) = store(store(a_1818, i7, e7), i33, e33)),
% 0.78/0.94 inference(symmetry,[status(thm)],[1583])).
% 0.78/0.94 tff(6195,plain,
% 0.78/0.94 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6194])).
% 0.78/0.94 tff(6196,plain,
% 0.78/0.94 ((i9 = i33) <=> (i9 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.94 tff(6197,plain,
% 0.78/0.94 ((~(i9 = i33)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6196])).
% 0.78/0.94 tff(6198,plain,
% 0.78/0.94 ((~(i9 = i33)) <=> (~(i9 = i33))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(6199,axiom,(~(i9 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp940')).
% 0.78/0.94 tff(6200,plain,
% 0.78/0.94 (~(i9 = i33)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 0.78/0.94 tff(6201,plain,
% 0.78/0.94 (~(i9 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6200, 6197])).
% 0.78/0.94 tff(6202,plain,
% 0.78/0.94 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1575, 17, 6201])).
% 0.78/0.94 tff(6203,plain,
% 0.78/0.94 (store(a_1820, i9, e9) = store(store(a_1819, i33, e33), i9, e9)),
% 0.78/0.94 inference(symmetry,[status(thm)],[1564])).
% 0.78/0.94 tff(6204,plain,
% 0.78/0.94 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6203])).
% 0.78/0.94 tff(6205,plain,
% 0.78/0.94 ((i17 = i33) <=> (i17 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.94 tff(6206,plain,
% 0.78/0.94 ((~(i17 = i33)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6205])).
% 0.78/0.94 tff(6207,plain,
% 0.78/0.94 ((~(i17 = i33)) <=> (~(i17 = i33))),
% 0.78/0.94 inference(rewrite,[status(thm)],[])).
% 0.78/0.94 tff(6208,axiom,(~(i17 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp648')).
% 0.78/0.94 tff(6209,plain,
% 0.78/0.94 (~(i17 = i33)),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 0.78/0.94 tff(6210,plain,
% 0.78/0.94 (~(i17 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6209, 6206])).
% 0.78/0.94 tff(6211,plain,
% 0.78/0.94 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1557, 6210])).
% 0.78/0.94 tff(6212,plain,
% 0.78/0.94 (store(a_1821, i17, e17) = store(store(a_1820, i9, e9), i17, e17)),
% 0.78/0.94 inference(symmetry,[status(thm)],[1545])).
% 0.78/0.94 tff(6213,plain,
% 0.78/0.94 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6212])).
% 0.78/0.94 tff(6214,assumption,(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.94 tff(6215,plain,
% 0.78/0.94 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[4385])).
% 0.78/0.94 tff(6216,plain,
% 0.78/0.94 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = e_1852),
% 0.78/0.94 inference(transitivity,[status(thm)],[4392, 4391, 6215, 6214, 6213, 6211, 6204, 6202, 6195, 6193, 6191, 6189, 6186, 6185, 687, 4060, 706, 6183, 725, 6180, 744, 6179, 767, 6177, 786, 5442, 809, 5441, 828, 5439, 847, 6167, 866, 4807, 885, 3861, 904, 3858, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.78/0.94 tff(6217,plain,
% 0.78/0.94 ((i2 = i33) <=> (i2 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.94 tff(6218,plain,
% 0.78/0.94 ((~(i2 = i33)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6217])).
% 0.78/0.94 tff(6219,plain,
% 0.78/0.94 (~(i2 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[6057, 6218])).
% 0.78/0.94 tff(6220,plain,
% 0.78/0.94 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.78/0.94 inference(unit_resolution,[status(thm)],[1280, 6219])).
% 0.78/0.94 tff(6221,plain,
% 0.78/0.94 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.78/0.94 inference(symmetry,[status(thm)],[6220])).
% 0.78/0.94 tff(6222,plain,
% 0.78/0.94 ((i25 = i33) <=> (i25 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.94 tff(6223,plain,
% 0.78/0.94 ((~(i25 = i33)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[6222])).
% 0.78/0.94 tff(6224,plain,
% 0.78/0.94 (~(i25 = sk(a_1800, a_1850))),
% 0.78/0.94 inference(modus_ponens,[status(thm)],[5740, 6223])).
% 0.78/0.95 tff(6225,plain,
% 0.78/0.95 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1347, 17, 6224])).
% 0.78/0.95 tff(6226,plain,
% 0.78/0.95 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6225])).
% 0.78/0.95 tff(6227,plain,
% 0.78/0.95 ((i23 = i33) <=> (i23 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.95 tff(6228,plain,
% 0.78/0.95 ((~(i23 = i33)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6227])).
% 0.78/0.95 tff(6229,plain,
% 0.78/0.95 ((~(i23 = i33)) <=> (~(i23 = i33))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6230,axiom,(~(i23 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp471')).
% 0.78/0.95 tff(6231,plain,
% 0.78/0.95 (~(i23 = i33)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 0.78/0.95 tff(6232,plain,
% 0.78/0.95 (~(i23 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6231, 6228])).
% 0.78/0.95 tff(6233,plain,
% 0.78/0.95 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1366, 17, 6232])).
% 0.78/0.95 tff(6234,plain,
% 0.78/0.95 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6233])).
% 0.78/0.95 tff(6235,plain,
% 0.78/0.95 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1423, 17, 6181])).
% 0.78/0.95 tff(6236,plain,
% 0.78/0.95 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6235])).
% 0.78/0.95 tff(6237,plain,
% 0.78/0.95 ((i11 = i33) <=> (i11 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.95 tff(6238,plain,
% 0.78/0.95 ((~(i11 = i33)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6237])).
% 0.78/0.95 tff(6239,plain,
% 0.78/0.95 ((~(i11 = i33)) <=> (~(i11 = i33))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6240,axiom,(~(i11 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp861')).
% 0.78/0.95 tff(6241,plain,
% 0.78/0.95 (~(i11 = i33)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 0.78/0.95 tff(6242,plain,
% 0.78/0.95 (~(i11 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6241, 6238])).
% 0.78/0.95 tff(6243,plain,
% 0.78/0.95 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1442, 17, 6242])).
% 0.78/0.95 tff(6244,plain,
% 0.78/0.95 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6243])).
% 0.78/0.95 tff(6245,plain,
% 0.78/0.95 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1461, 17, 5812])).
% 0.78/0.95 tff(6246,plain,
% 0.78/0.95 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6245])).
% 0.78/0.95 tff(6247,plain,
% 0.78/0.95 ((i26 = i33) <=> (i26 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.95 tff(6248,plain,
% 0.78/0.95 ((~(i26 = i33)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6247])).
% 0.78/0.95 tff(6249,plain,
% 0.78/0.95 ((~(i26 = i33)) <=> (~(i26 = i33))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6250,axiom,(~(i26 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp396')).
% 0.78/0.95 tff(6251,plain,
% 0.78/0.95 (~(i26 = i33)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6250, 6249])).
% 0.78/0.95 tff(6252,plain,
% 0.78/0.95 (~(i26 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6251, 6248])).
% 0.78/0.95 tff(6253,plain,
% 0.78/0.95 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1480, 17, 6252])).
% 0.78/0.95 tff(6254,plain,
% 0.78/0.95 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6253])).
% 0.78/0.95 tff(6255,plain,
% 0.78/0.95 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = e_1853),
% 0.78/0.95 inference(transitivity,[status(thm)],[1489, 6254, 1470, 6246, 1451, 6244, 1432, 6236, 1413, 4898, 1394, 6131, 1375, 6234, 1356, 6226, 1337, 3930, 1318, 3928, 1299, 1293, 1288, 6221, 1269, 5686, 1250, 2675, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 3876, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.78/0.95 tff(6256,plain,
% 0.78/0.95 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6255, 6216])).
% 0.78/0.95 tff(6257,plain,
% 0.78/0.95 ((select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.78/0.95 inference(transitivity,[status(thm)],[6256, 1])).
% 0.78/0.95 tff(6258,plain,
% 0.78/0.95 ((e_1852 = e_1853) <=> (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6257])).
% 0.78/0.95 tff(6259,plain,
% 0.78/0.95 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6258])).
% 0.78/0.95 tff(6260,plain,
% 0.78/0.95 (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[999, 6259])).
% 0.78/0.95 tff(6261,plain,
% 0.78/0.95 ((i18 = i33) <=> (i18 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6168])).
% 0.78/0.95 tff(6262,plain,
% 0.78/0.95 ((~(i18 = i33)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6261])).
% 0.78/0.95 tff(6263,plain,
% 0.78/0.95 ((~(i18 = i33)) <=> (~(i18 = i33))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6264,axiom,(~(i18 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp616')).
% 0.78/0.95 tff(6265,plain,
% 0.78/0.95 (~(i18 = i33)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 0.78/0.95 tff(6266,plain,
% 0.78/0.95 (~(i18 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6265, 6262])).
% 0.78/0.95 tff(6267,plain,
% 0.78/0.95 ($false),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1499, 17, 6266, 6260])).
% 0.78/0.95 tff(6268,plain,((~(i33 = sk(a_1800, a_1850))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i34 = sk(a_1800, a_1850)) | (i36 = sk(a_1800, a_1850)) | (i44 = sk(a_1800, a_1850)) | (i38 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.95 tff(6269,plain,
% 0.78/0.95 (~(i33 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[6268, 6162, 5812, 4596, 5405, 4595, 5682, 4099, 3981, 3893, 4792, 4373, 3386, 2578, 2904, 6164, 4048, 3961, 4597, 3854, 11])).
% 0.78/0.95 tff(6270,plain,
% 0.78/0.95 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1404, 17, 3961])).
% 0.78/0.95 tff(6271,plain,
% 0.78/0.95 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1385, 17, 4597])).
% 0.78/0.95 tff(6272,plain,
% 0.78/0.95 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1328, 17, 2929])).
% 0.78/0.95 tff(6273,plain,
% 0.78/0.95 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[718, 17, 6162])).
% 0.78/0.95 tff(6274,assumption,(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6275,assumption,(~(i2 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6276,assumption,(~(i45 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6277,assumption,(~(i49 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6278,plain,
% 0.78/0.95 (select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[974, 6277])).
% 0.78/0.95 tff(6279,plain,
% 0.78/0.95 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1729, 4388])).
% 0.78/0.95 tff(6280,plain,
% 0.78/0.95 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[897, 17, 6276])).
% 0.78/0.95 tff(6281,plain,
% 0.78/0.95 (~(i4 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[3384, 1776, 2904, 6279, 6278, 983, 2577])).
% 0.78/0.95 tff(6282,plain,
% 0.78/0.95 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1109, 6281])).
% 0.78/0.95 tff(6283,plain,
% 0.78/0.95 (~(i32 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[2483, 6282, 2578, 2904, 6280, 1776, 6279, 6278, 983])).
% 0.78/0.95 tff(6284,plain,
% 0.78/0.95 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[642, 17, 6283])).
% 0.78/0.95 tff(6285,assumption,(~(i41 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6286,assumption,(~(i10 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6287,assumption,(~(i33 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6288,assumption,(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6289,assumption,(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6290,assumption,(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6291,plain,
% 0.78/0.95 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1128, 6283])).
% 0.78/0.95 tff(6292,assumption,(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.95 tff(6293,assumption,(i17 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.95 tff(6294,plain,
% 0.78/0.95 ((i17 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6293])).
% 0.78/0.95 tff(6295,plain,
% 0.78/0.95 ((i17 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(transitivity,[status(thm)],[6294, 594])).
% 0.78/0.95 tff(6296,plain,
% 0.78/0.95 ((~(i17 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6295])).
% 0.78/0.95 tff(6297,plain,
% 0.78/0.95 ((~(i17 = i30)) <=> (~(i17 = i30))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6298,axiom,(~(i17 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp651')).
% 0.78/0.95 tff(6299,plain,
% 0.78/0.95 (~(i17 = i30)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6298, 6297])).
% 0.78/0.95 tff(6300,plain,
% 0.78/0.95 (~(i30 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6299, 6296])).
% 0.78/0.95 tff(6301,plain,
% 0.78/0.95 ((i11 = i17) <=> (i11 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6293])).
% 0.78/0.95 tff(6302,plain,
% 0.78/0.95 ((~(i11 = i17)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6301])).
% 0.78/0.95 tff(6303,plain,
% 0.78/0.95 ((~(i11 = i17)) <=> (~(i11 = i17))),
% 0.78/0.95 inference(rewrite,[status(thm)],[])).
% 0.78/0.95 tff(6304,axiom,(~(i11 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp877')).
% 0.78/0.95 tff(6305,plain,
% 0.78/0.95 (~(i11 = i17)),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 0.78/0.95 tff(6306,plain,
% 0.78/0.95 (~(i11 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(modus_ponens,[status(thm)],[6305, 6302])).
% 0.78/0.95 tff(6307,plain,
% 0.78/0.95 (~(i31 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1994, 2904, 6278, 983])).
% 0.78/0.95 tff(6308,plain,
% 0.78/0.95 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1052, 6307])).
% 0.78/0.95 tff(6309,plain,
% 0.78/0.95 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6308])).
% 0.78/0.95 tff(6310,plain,
% 0.78/0.95 (~(i24 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[2352, 2578, 2904, 6279, 6278, 983])).
% 0.78/0.95 tff(6311,plain,
% 0.78/0.95 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1090, 6310])).
% 0.78/0.95 tff(6312,plain,
% 0.78/0.95 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6311])).
% 0.78/0.95 tff(6313,plain,
% 0.78/0.95 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6282])).
% 0.78/0.95 tff(6314,plain,
% 0.78/0.95 (~(i48 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[2115, 6278, 983, 2904])).
% 0.78/0.95 tff(6315,plain,
% 0.78/0.95 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1241, 17, 6314])).
% 0.78/0.95 tff(6316,plain,
% 0.78/0.95 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6315])).
% 0.78/0.95 tff(6317,plain,
% 0.78/0.95 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1261, 6286])).
% 0.78/0.95 tff(6318,plain,
% 0.78/0.95 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6317])).
% 0.78/0.95 tff(6319,plain,
% 0.78/0.95 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1280, 6275])).
% 0.78/0.95 tff(6320,plain,
% 0.78/0.95 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6319])).
% 0.78/0.95 tff(6321,plain,
% 0.78/0.95 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1841, 6276])).
% 0.78/0.95 tff(6322,plain,
% 0.78/0.95 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1888, 6285])).
% 0.78/0.95 tff(6323,plain,
% 0.78/0.95 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1900, 797])).
% 0.78/0.95 tff(6324,plain,
% 0.78/0.95 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[5839])).
% 0.78/0.95 tff(6325,plain,
% 0.78/0.95 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6324])).
% 0.78/0.95 tff(6326,plain,
% 0.78/0.95 (store(a_1835, i50, e50) = store(store(a_1834, i35, e35), i50, e50)),
% 0.78/0.95 inference(symmetry,[status(thm)],[1287])).
% 0.78/0.95 tff(6327,plain,
% 0.78/0.95 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6326])).
% 0.78/0.95 tff(6328,plain,
% 0.78/0.95 (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6327])).
% 0.78/0.95 tff(6329,assumption,(i35 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.95 tff(6330,plain,
% 0.78/0.95 (sk(a_1800, a_1850) = i35),
% 0.78/0.95 inference(symmetry,[status(thm)],[6329])).
% 0.78/0.95 tff(6331,plain,
% 0.78/0.95 (store(a_1834, i35, e35) = store(store(a_1833, i46, e46), i35, e35)),
% 0.78/0.95 inference(symmetry,[status(thm)],[1298])).
% 0.78/0.95 tff(6332,plain,
% 0.78/0.95 (select(store(a_1834, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), i35)),
% 0.78/0.95 inference(monotonicity,[status(thm)],[6331, 6330])).
% 0.78/0.95 tff(6333,plain,
% 0.78/0.95 (select(store(store(a_1833, i46, e46), i35, e35), i35) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))),
% 0.78/0.95 inference(symmetry,[status(thm)],[6332])).
% 0.78/0.95 tff(6334,plain,
% 0.78/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1833, i46, e46), i35, e35), i35) = e35)),
% 0.78/0.95 inference(quant_inst,[status(thm)],[])).
% 0.78/0.95 tff(6335,plain,
% 0.78/0.95 (select(store(store(a_1833, i46, e46), i35, e35), i35) = e35),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[6334, 47])).
% 0.78/0.95 tff(6336,plain,
% 0.78/0.95 (e35 = select(store(store(a_1833, i46, e46), i35, e35), i35)),
% 0.78/0.95 inference(symmetry,[status(thm)],[6335])).
% 0.78/0.95 tff(6337,plain,
% 0.78/0.95 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1783, i34, e34), i35, e35), i35) = e35)),
% 0.78/0.95 inference(quant_inst,[status(thm)],[])).
% 0.78/0.95 tff(6338,plain,
% 0.78/0.95 (select(store(store(a_1783, i34, e34), i35, e35), i35) = e35),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[6337, 47])).
% 0.78/0.95 tff(6339,plain,
% 0.78/0.95 (select(store(store(a_1783, i34, e34), i35, e35), i35) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.78/0.95 inference(monotonicity,[status(thm)],[705, 6329])).
% 0.78/0.95 tff(6340,plain,
% 0.78/0.95 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), i35)),
% 0.78/0.95 inference(symmetry,[status(thm)],[6339])).
% 0.78/0.95 tff(6341,plain,
% 0.78/0.95 (e_1852 = e_1853),
% 0.78/0.95 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 6340, 6338, 6336, 6333, 6104, 6328, 6102, 6325, 5686, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 2506, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.78/0.95 tff(6342,plain,
% 0.78/0.95 ($false),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[999, 6341])).
% 0.78/0.95 tff(6343,plain,((~(i35 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.95 tff(6344,plain,
% 0.78/0.95 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[6343, 6292, 2578, 6282, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 2904, 6140, 4760, 5814, 6323, 6322, 5108, 4101, 2518, 6321, 1776, 6279, 6278, 983])).
% 0.78/0.95 tff(6345,plain,
% 0.78/0.95 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.95 inference(unit_resolution,[status(thm)],[1310, 6344])).
% 0.78/0.95 tff(6346,plain,
% 0.78/0.95 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6345])).
% 0.78/0.96 tff(6347,plain,
% 0.78/0.96 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6290])).
% 0.78/0.96 tff(6348,plain,
% 0.78/0.96 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1348, 5805])).
% 0.78/0.96 tff(6349,plain,
% 0.78/0.96 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6348])).
% 0.78/0.96 tff(6350,plain,
% 0.78/0.96 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1367, 5804])).
% 0.78/0.96 tff(6351,plain,
% 0.78/0.96 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6350])).
% 0.78/0.96 tff(6352,plain,
% 0.78/0.96 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6289])).
% 0.78/0.96 tff(6353,plain,
% 0.78/0.96 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6288])).
% 0.78/0.96 tff(6354,plain,
% 0.78/0.96 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6274])).
% 0.78/0.96 tff(6355,assumption,(~(i11 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6356,plain,
% 0.78/0.96 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1443, 6355])).
% 0.78/0.96 tff(6357,plain,
% 0.78/0.96 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6356])).
% 0.78/0.96 tff(6358,assumption,(~(i30 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6359,assumption,(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6360,assumption,(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6361,plain,
% 0.78/0.96 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6360])).
% 0.78/0.96 tff(6362,assumption,(~(i26 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6363,plain,
% 0.78/0.96 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1481, 6362])).
% 0.78/0.96 tff(6364,plain,
% 0.78/0.96 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6363])).
% 0.78/0.96 tff(6365,assumption,(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6366,plain,
% 0.78/0.96 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1984, 6287])).
% 0.78/0.96 tff(6367,plain,
% 0.78/0.96 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[2294, 6358])).
% 0.78/0.96 tff(6368,assumption,(~(i28 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6369,plain,
% 0.78/0.96 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[2318, 6368])).
% 0.78/0.96 tff(6370,assumption,(i27 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.96 tff(6371,plain,
% 0.78/0.96 (sk(a_1800, a_1850) = i27),
% 0.78/0.96 inference(symmetry,[status(thm)],[6370])).
% 0.78/0.96 tff(6372,plain,
% 0.78/0.96 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i27)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6371])).
% 0.78/0.96 tff(6373,plain,
% 0.78/0.96 ((i15 = i27) <=> (i15 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6372])).
% 0.78/0.96 tff(6374,plain,
% 0.78/0.96 ((~(i15 = i27)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6373])).
% 0.78/0.96 tff(6375,plain,
% 0.78/0.96 ((~(i15 = i27)) <=> (~(i15 = i27))),
% 0.78/0.96 inference(rewrite,[status(thm)],[])).
% 0.78/0.96 tff(6376,axiom,(~(i15 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp721')).
% 0.78/0.96 tff(6377,plain,
% 0.78/0.96 (~(i15 = i27)),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6376, 6375])).
% 0.78/0.96 tff(6378,plain,
% 0.78/0.96 (~(i15 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6377, 6374])).
% 0.78/0.96 tff(6379,plain,
% 0.78/0.96 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6279])).
% 0.78/0.96 tff(6380,plain,
% 0.78/0.96 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6095])).
% 0.78/0.96 tff(6381,plain,
% 0.78/0.96 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6292])).
% 0.78/0.96 tff(6382,plain,
% 0.78/0.96 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 1035, 6140, 4760, 6095, 4769, 5440, 5108, 2520, 2518, 1764, 1776, 6279, 1740, 983])).
% 0.78/0.96 tff(6383,plain,
% 0.78/0.96 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1960, 6382])).
% 0.78/0.96 tff(6384,plain,
% 0.78/0.96 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6383])).
% 0.78/0.96 tff(6385,plain,
% 0.78/0.96 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6365])).
% 0.78/0.96 tff(6386,plain,
% 0.78/0.96 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6366])).
% 0.78/0.96 tff(6387,plain,
% 0.78/0.96 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6359])).
% 0.78/0.96 tff(6388,assumption,(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6389,plain,
% 0.78/0.96 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6388])).
% 0.78/0.96 tff(6390,assumption,(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6391,plain,
% 0.78/0.96 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6390])).
% 0.78/0.96 tff(6392,plain,
% 0.78/0.96 (select(store(store(a_1775, i26, e26), i27, e27), i27) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[549, 6370])).
% 0.78/0.96 tff(6393,plain,
% 0.78/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1775, i26, e26), i27, e27), i27) = e27)),
% 0.78/0.96 inference(quant_inst,[status(thm)],[])).
% 0.78/0.96 tff(6394,plain,
% 0.78/0.96 (select(store(store(a_1775, i26, e26), i27, e27), i27) = e27),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[6393, 47])).
% 0.78/0.96 tff(6395,plain,
% 0.78/0.96 (e27 = select(store(store(a_1775, i26, e26), i27, e27), i27)),
% 0.78/0.96 inference(symmetry,[status(thm)],[6394])).
% 0.78/0.96 tff(6396,plain,
% 0.78/0.96 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1815, i6, e6), i27, e27), i27) = e27)),
% 0.78/0.96 inference(quant_inst,[status(thm)],[])).
% 0.78/0.96 tff(6397,plain,
% 0.78/0.96 (select(store(store(a_1815, i6, e6), i27, e27), i27) = e27),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[6396, 47])).
% 0.78/0.96 tff(6398,plain,
% 0.78/0.96 (store(a_1816, i27, e27) = store(store(a_1815, i6, e6), i27, e27)),
% 0.78/0.96 inference(symmetry,[status(thm)],[1640])).
% 0.78/0.96 tff(6399,plain,
% 0.78/0.96 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), i27)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6398, 6371])).
% 0.78/0.96 tff(6400,plain,
% 0.78/0.96 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = e_1852),
% 0.78/0.96 inference(transitivity,[status(thm)],[6399, 6397, 6395, 6392, 6391, 569, 5758, 592, 6389, 611, 2284, 630, 6387, 649, 6386, 668, 6385, 687, 6384, 706, 6381, 725, 6180, 744, 5716, 767, 6380, 786, 5442, 809, 5441, 828, 5109, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 6379, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.78/0.96 tff(6401,plain,
% 0.78/0.96 (~(i24 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[2352, 1774, 1035, 6279, 1740, 983])).
% 0.78/0.96 tff(6402,plain,
% 0.78/0.96 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1090, 6401])).
% 0.78/0.96 tff(6403,plain,
% 0.78/0.96 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6402])).
% 0.78/0.96 tff(6404,plain,
% 0.78/0.96 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1310, 6382])).
% 0.78/0.96 tff(6405,plain,
% 0.78/0.96 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6404])).
% 0.78/0.96 tff(6406,assumption,(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6407,plain,
% 0.78/0.96 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6406])).
% 0.78/0.96 tff(6408,assumption,(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6409,plain,
% 0.78/0.96 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6408])).
% 0.78/0.96 tff(6410,assumption,(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6411,plain,
% 0.78/0.96 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6410])).
% 0.78/0.96 tff(6412,assumption,(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.96 tff(6413,plain,
% 0.78/0.96 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6412])).
% 0.78/0.96 tff(6414,plain,
% 0.78/0.96 ((i18 = i27) <=> (i18 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6370])).
% 0.78/0.96 tff(6415,plain,
% 0.78/0.96 ((~(i18 = i27)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6414])).
% 0.78/0.96 tff(6416,plain,
% 0.78/0.96 ((~(i18 = i27)) <=> (~(i18 = i27))),
% 0.78/0.96 inference(rewrite,[status(thm)],[])).
% 0.78/0.96 tff(6417,axiom,(~(i18 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp622')).
% 0.78/0.96 tff(6418,plain,
% 0.78/0.96 (~(i18 = i27)),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 0.78/0.96 tff(6419,plain,
% 0.78/0.96 (~(i18 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6418, 6415])).
% 0.78/0.96 tff(6420,plain,
% 0.78/0.96 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1500, 6419])).
% 0.78/0.96 tff(6421,plain,
% 0.78/0.96 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6420])).
% 0.78/0.96 tff(6422,plain,
% 0.78/0.96 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1518, 17, 4388])).
% 0.78/0.96 tff(6423,plain,
% 0.78/0.96 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6422])).
% 0.78/0.96 tff(6424,plain,
% 0.78/0.96 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i27)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6371])).
% 0.78/0.96 tff(6425,plain,
% 0.78/0.96 ((i17 = i27) <=> (i17 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6424])).
% 0.78/0.96 tff(6426,plain,
% 0.78/0.96 ((~(i17 = i27)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6425])).
% 0.78/0.96 tff(6427,plain,
% 0.78/0.96 ((~(i17 = i27)) <=> (~(i17 = i27))),
% 0.78/0.96 inference(rewrite,[status(thm)],[])).
% 0.78/0.96 tff(6428,axiom,(~(i17 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp654')).
% 0.78/0.96 tff(6429,plain,
% 0.78/0.96 (~(i17 = i27)),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 0.78/0.96 tff(6430,plain,
% 0.78/0.96 (~(i17 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6429, 6426])).
% 0.78/0.96 tff(6431,plain,
% 0.78/0.96 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1557, 6430])).
% 0.78/0.96 tff(6432,plain,
% 0.78/0.96 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6431])).
% 0.78/0.96 tff(6433,plain,
% 0.78/0.96 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i27)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6371])).
% 0.78/0.96 tff(6434,plain,
% 0.78/0.96 ((i9 = i27) <=> (i9 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6433])).
% 0.78/0.96 tff(6435,plain,
% 0.78/0.96 ((~(i9 = i27)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6434])).
% 0.78/0.96 tff(6436,plain,
% 0.78/0.96 ((~(i9 = i27)) <=> (~(i9 = i27))),
% 0.78/0.96 inference(rewrite,[status(thm)],[])).
% 0.78/0.96 tff(6437,axiom,(~(i9 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp946')).
% 0.78/0.96 tff(6438,plain,
% 0.78/0.96 (~(i9 = i27)),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 0.78/0.96 tff(6439,plain,
% 0.78/0.96 (~(i9 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6438, 6435])).
% 0.78/0.96 tff(6440,plain,
% 0.78/0.96 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1576, 6439])).
% 0.78/0.96 tff(6441,plain,
% 0.78/0.96 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6440])).
% 0.78/0.96 tff(6442,plain,
% 0.78/0.96 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1594, 17, 6287])).
% 0.78/0.96 tff(6443,plain,
% 0.78/0.96 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6442])).
% 0.78/0.96 tff(6444,plain,
% 0.78/0.96 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i27)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6371])).
% 0.78/0.96 tff(6445,plain,
% 0.78/0.96 ((i7 = i27) <=> (i7 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6444])).
% 0.78/0.96 tff(6446,plain,
% 0.78/0.96 ((~(i7 = i27)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6445])).
% 0.78/0.96 tff(6447,plain,
% 0.78/0.96 ((~(i7 = i27)) <=> (~(i7 = i27))),
% 0.78/0.96 inference(rewrite,[status(thm)],[])).
% 0.78/0.96 tff(6448,axiom,(~(i7 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1029')).
% 0.78/0.96 tff(6449,plain,
% 0.78/0.96 (~(i7 = i27)),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 0.78/0.96 tff(6450,plain,
% 0.78/0.96 (~(i7 = sk(a_1800, a_1850))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[6449, 6446])).
% 0.78/0.96 tff(6451,plain,
% 0.78/0.96 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1614, 6450])).
% 0.78/0.96 tff(6452,plain,
% 0.78/0.96 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6451])).
% 0.78/0.96 tff(6453,plain,
% 0.78/0.96 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = e_1853),
% 0.78/0.96 inference(transitivity,[status(thm)],[1622, 6452, 1603, 6443, 1584, 6441, 1565, 6432, 1546, 5224, 1527, 6423, 1508, 6421, 1489, 6413, 1470, 6361, 1451, 6411, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6405, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 5428, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 6403, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.78/0.96 tff(6454,plain,
% 0.78/0.96 ((select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6453, 6400])).
% 0.78/0.96 tff(6455,plain,
% 0.78/0.96 ((select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.78/0.96 inference(transitivity,[status(thm)],[6454, 1])).
% 0.78/0.96 tff(6456,plain,
% 0.78/0.96 ((e_1852 = e_1853) <=> (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850)))),
% 0.78/0.96 inference(symmetry,[status(thm)],[6455])).
% 0.78/0.96 tff(6457,plain,
% 0.78/0.96 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))))),
% 0.78/0.96 inference(monotonicity,[status(thm)],[6456])).
% 0.78/0.96 tff(6458,plain,
% 0.78/0.96 (~(select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850)))),
% 0.78/0.96 inference(modus_ponens,[status(thm)],[999, 6457])).
% 0.78/0.96 tff(6459,plain,
% 0.78/0.96 ($false),
% 0.78/0.96 inference(unit_resolution,[status(thm)],[1633, 6458, 6378])).
% 0.78/0.96 tff(6460,plain,((~(i27 = sk(a_1800, a_1850))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i33 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.97 tff(6461,plain,
% 0.78/0.97 (~(i27 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6460, 6369, 5757, 6367, 6359, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 4101, 2518, 6321, 1776, 6278, 983, 6363, 6360, 6356, 6274, 6288, 6289, 6350, 6348, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 6282, 2578, 2904, 6287, 4778, 4388])).
% 0.78/0.97 tff(6462,plain,
% 0.78/0.97 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[2330, 6461])).
% 0.78/0.97 tff(6463,plain,
% 0.78/0.97 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[524, 17, 6362])).
% 0.78/0.97 tff(6464,plain,
% 0.78/0.97 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[505, 17, 5805])).
% 0.78/0.97 tff(6465,plain,
% 0.78/0.97 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[468, 17, 5804])).
% 0.78/0.97 tff(6466,plain,
% 0.78/0.97 ((i19 = i18) <=> (i18 = i19)),
% 0.78/0.97 inference(commutativity,[status(thm)],[])).
% 0.78/0.97 tff(6467,assumption,(i18 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.97 tff(6468,plain,
% 0.78/0.97 (sk(a_1800, a_1850) = i18),
% 0.78/0.97 inference(symmetry,[status(thm)],[6467])).
% 0.78/0.97 tff(6469,plain,
% 0.78/0.97 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i18)),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6468])).
% 0.78/0.97 tff(6470,plain,
% 0.78/0.97 ((i19 = sk(a_1800, a_1850)) <=> (i18 = i19)),
% 0.78/0.97 inference(transitivity,[status(thm)],[6469, 6466])).
% 0.78/0.97 tff(6471,plain,
% 0.78/0.97 ((i18 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6470])).
% 0.78/0.97 tff(6472,plain,
% 0.78/0.97 ((~(i18 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6471])).
% 0.78/0.97 tff(6473,plain,
% 0.78/0.97 ((~(i18 = i19)) <=> (~(i18 = i19))),
% 0.78/0.97 inference(rewrite,[status(thm)],[])).
% 0.78/0.97 tff(6474,axiom,(~(i18 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp630')).
% 0.78/0.97 tff(6475,plain,
% 0.78/0.97 (~(i18 = i19)),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 0.78/0.97 tff(6476,plain,
% 0.78/0.97 (~(i19 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6475, 6472])).
% 0.78/0.97 tff(6477,plain,
% 0.78/0.97 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6343, 6292, 2578, 4103, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 1035, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.78/0.97 tff(6478,plain,
% 0.78/0.97 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1310, 6477])).
% 0.78/0.97 tff(6479,plain,
% 0.78/0.97 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6478])).
% 0.78/0.97 tff(6480,plain,
% 0.78/0.97 (select(store(store(a_1823, i47, e47), i18, e18), i18) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[1488, 6467])).
% 0.78/0.97 tff(6481,plain,
% 0.78/0.97 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1823, i47, e47), i18, e18), i18) = e18)),
% 0.78/0.97 inference(quant_inst,[status(thm)],[])).
% 0.78/0.97 tff(6482,plain,
% 0.78/0.97 (select(store(store(a_1823, i47, e47), i18, e18), i18) = e18),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6481, 47])).
% 0.78/0.97 tff(6483,plain,
% 0.78/0.97 (e18 = select(store(store(a_1823, i47, e47), i18, e18), i18)),
% 0.78/0.97 inference(symmetry,[status(thm)],[6482])).
% 0.78/0.97 tff(6484,plain,
% 0.78/0.97 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1766, i17, e17), i18, e18), i18) = e18)),
% 0.78/0.97 inference(quant_inst,[status(thm)],[])).
% 0.78/0.97 tff(6485,plain,
% 0.78/0.97 (select(store(store(a_1766, i17, e17), i18, e18), i18) = e18),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6484, 47])).
% 0.78/0.97 tff(6486,plain,
% 0.78/0.97 (store(a_1767, i18, e18) = store(store(a_1766, i17, e17), i18, e18)),
% 0.78/0.97 inference(symmetry,[status(thm)],[379])).
% 0.78/0.97 tff(6487,plain,
% 0.78/0.97 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), i18)),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6486, 6468])).
% 0.78/0.97 tff(6488,plain,
% 0.78/0.97 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = e_1853),
% 0.78/0.97 inference(transitivity,[status(thm)],[6487, 6485, 6483, 6480, 6413, 1470, 6361, 1451, 6411, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6479, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 5428, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 4104, 1098, 2944, 1079, 2917, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.78/0.97 tff(6489,plain,
% 0.78/0.97 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1960, 6477])).
% 0.78/0.97 tff(6490,plain,
% 0.78/0.97 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6489])).
% 0.78/0.97 tff(6491,assumption,(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6492,plain,
% 0.78/0.97 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6491])).
% 0.78/0.97 tff(6493,assumption,(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6494,plain,
% 0.78/0.97 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6493])).
% 0.78/0.97 tff(6495,assumption,(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6496,plain,
% 0.78/0.97 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6495])).
% 0.78/0.97 tff(6497,assumption,(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6498,plain,
% 0.78/0.97 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6497])).
% 0.78/0.97 tff(6499,assumption,(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6500,plain,
% 0.78/0.97 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6499])).
% 0.78/0.97 tff(6501,plain,
% 0.78/0.97 ((i18 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6467])).
% 0.78/0.97 tff(6502,plain,
% 0.78/0.97 ((i18 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(transitivity,[status(thm)],[6501, 439])).
% 0.78/0.97 tff(6503,plain,
% 0.78/0.97 ((~(i18 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6502])).
% 0.78/0.97 tff(6504,plain,
% 0.78/0.97 ((~(i18 = i22)) <=> (~(i18 = i22))),
% 0.78/0.97 inference(rewrite,[status(thm)],[])).
% 0.78/0.97 tff(6505,axiom,(~(i18 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp627')).
% 0.78/0.97 tff(6506,plain,
% 0.78/0.97 (~(i18 = i22)),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 0.78/0.97 tff(6507,plain,
% 0.78/0.97 (~(i22 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6506, 6503])).
% 0.78/0.97 tff(6508,plain,
% 0.78/0.97 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[3192, 6507])).
% 0.78/0.97 tff(6509,plain,
% 0.78/0.97 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6508])).
% 0.78/0.97 tff(6510,plain,
% 0.78/0.97 ((i20 = i18) <=> (i18 = i20)),
% 0.78/0.97 inference(commutativity,[status(thm)],[])).
% 0.78/0.97 tff(6511,plain,
% 0.78/0.97 ((i20 = sk(a_1800, a_1850)) <=> (i20 = i18)),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6468])).
% 0.78/0.97 tff(6512,plain,
% 0.78/0.97 ((i20 = sk(a_1800, a_1850)) <=> (i18 = i20)),
% 0.78/0.97 inference(transitivity,[status(thm)],[6511, 6510])).
% 0.78/0.97 tff(6513,plain,
% 0.78/0.97 ((i18 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6512])).
% 0.78/0.97 tff(6514,plain,
% 0.78/0.97 ((~(i18 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6513])).
% 0.78/0.97 tff(6515,plain,
% 0.78/0.97 ((~(i18 = i20)) <=> (~(i18 = i20))),
% 0.78/0.97 inference(rewrite,[status(thm)],[])).
% 0.78/0.97 tff(6516,axiom,(~(i18 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp629')).
% 0.78/0.97 tff(6517,plain,
% 0.78/0.97 (~(i18 = i20)),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 0.78/0.97 tff(6518,plain,
% 0.78/0.97 (~(i20 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[6517, 6514])).
% 0.78/0.97 tff(6519,plain,
% 0.78/0.97 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[3206, 6518])).
% 0.78/0.97 tff(6520,plain,
% 0.78/0.97 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6519])).
% 0.78/0.97 tff(6521,plain,
% 0.78/0.97 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = e_1852),
% 0.78/0.97 inference(transitivity,[status(thm)],[399, 6520, 418, 3196, 437, 6509, 456, 6500, 475, 3170, 493, 6498, 512, 6496, 531, 6494, 550, 6391, 569, 5758, 592, 6389, 611, 2284, 630, 6387, 649, 6492, 668, 6385, 687, 6490, 706, 6381, 725, 6180, 744, 5716, 767, 6380, 786, 5442, 809, 5441, 828, 5439, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.78/0.97 tff(6522,plain,
% 0.78/0.97 ((select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6521, 6488])).
% 0.78/0.97 tff(6523,plain,
% 0.78/0.97 ((e_1852 = e_1853) <=> (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6522])).
% 0.78/0.97 tff(6524,plain,
% 0.78/0.97 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6523])).
% 0.78/0.97 tff(6525,plain,
% 0.78/0.97 (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))),
% 0.78/0.97 inference(modus_ponens,[status(thm)],[999, 6524])).
% 0.78/0.97 tff(6526,plain,
% 0.78/0.97 ($false),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[3218, 6525, 6476])).
% 0.78/0.97 tff(6527,plain,((~(i18 = sk(a_1800, a_1850))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i21 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.97 tff(6528,plain,
% 0.78/0.97 (~(i18 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6527, 6465, 6360, 6356, 6274, 6288, 6289, 6350, 6348, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 2904, 6363, 6464, 6463, 6462, 6369, 5757, 6367, 6359, 6366, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5108, 4101, 2518, 6321, 1776, 6279, 6278, 983, 2577])).
% 0.78/0.97 tff(6529,plain,
% 0.78/0.97 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1500, 6528])).
% 0.78/0.97 tff(6530,plain,
% 0.78/0.97 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6529])).
% 0.78/0.97 tff(6531,plain,
% 0.78/0.97 (~(i24 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[2352, 2578, 2904, 1756, 6278, 983])).
% 0.78/0.97 tff(6532,plain,
% 0.78/0.97 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1090, 6531])).
% 0.78/0.97 tff(6533,plain,
% 0.78/0.97 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6532])).
% 0.78/0.97 tff(6534,plain,
% 0.78/0.97 (~(i4 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[3384, 1776, 2904, 1756, 6278, 983, 2577])).
% 0.78/0.97 tff(6535,plain,
% 0.78/0.97 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1109, 6534])).
% 0.78/0.97 tff(6536,plain,
% 0.78/0.97 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6535])).
% 0.78/0.97 tff(6537,plain,
% 0.78/0.97 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6343, 6292, 2578, 6535, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 2904, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983])).
% 0.78/0.97 tff(6538,plain,
% 0.78/0.97 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1310, 6537])).
% 0.78/0.97 tff(6539,plain,
% 0.78/0.97 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6538])).
% 0.78/0.97 tff(6540,assumption,(~(i27 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6541,plain,
% 0.78/0.97 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[2330, 6540])).
% 0.78/0.97 tff(6542,plain,
% 0.78/0.97 (~(i18 = sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[6527, 6499, 6360, 6356, 6274, 6288, 6289, 6408, 6406, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 2904, 6412, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6366, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 2577])).
% 0.78/0.97 tff(6543,plain,
% 0.78/0.97 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[1500, 6542])).
% 0.78/0.97 tff(6544,plain,
% 0.78/0.97 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6543])).
% 0.78/0.97 tff(6545,assumption,(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6546,plain,
% 0.78/0.97 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6545])).
% 0.78/0.97 tff(6547,plain,
% 0.78/0.97 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.78/0.97 inference(symmetry,[status(thm)],[6214])).
% 0.78/0.97 tff(6548,assumption,(~(i22 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.97 tff(6549,plain,
% 0.78/0.97 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.78/0.97 inference(unit_resolution,[status(thm)],[3192, 6548])).
% 0.78/0.97 tff(6550,plain,
% 0.78/0.97 (select(store(a_1834, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.97 inference(monotonicity,[status(thm)],[6331])).
% 0.78/0.97 tff(6551,plain,
% 0.78/0.97 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6550])).
% 0.78/0.98 tff(6552,plain,
% 0.78/0.98 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 1035, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.78/0.98 tff(6553,plain,
% 0.78/0.98 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1310, 6552])).
% 0.78/0.98 tff(6554,plain,
% 0.78/0.98 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6553])).
% 0.78/0.98 tff(6555,plain,
% 0.78/0.98 (store(a_1833, i46, e46) = store(store(a_1832, i25, e25), i46, e46)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1317])).
% 0.78/0.98 tff(6556,plain,
% 0.78/0.98 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6555])).
% 0.78/0.98 tff(6557,plain,
% 0.78/0.98 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6556])).
% 0.78/0.98 tff(6558,plain,
% 0.78/0.98 (store(a_1832, i25, e25) = store(store(a_1831, i23, e23), i25, e25)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1336])).
% 0.78/0.98 tff(6559,plain,
% 0.78/0.98 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6558])).
% 0.78/0.98 tff(6560,plain,
% 0.78/0.98 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6559])).
% 0.78/0.98 tff(6561,plain,
% 0.78/0.98 (store(a_1831, i23, e23) = store(store(a_1830, i38, e38), i23, e23)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1355])).
% 0.78/0.98 tff(6562,plain,
% 0.78/0.98 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6561])).
% 0.78/0.98 tff(6563,plain,
% 0.78/0.98 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6562])).
% 0.78/0.98 tff(6564,plain,
% 0.78/0.98 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[4495])).
% 0.78/0.98 tff(6565,plain,
% 0.78/0.98 (select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[3872])).
% 0.78/0.98 tff(6566,plain,
% 0.78/0.98 (store(a_1828, i36, e36) = store(store(a_1827, i11, e11), i36, e36)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1412])).
% 0.78/0.98 tff(6567,plain,
% 0.78/0.98 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6566])).
% 0.78/0.98 tff(6568,plain,
% 0.78/0.98 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6567])).
% 0.78/0.98 tff(6569,plain,
% 0.78/0.98 (store(a_1827, i11, e11) = store(store(a_1826, i34, e34), i11, e11)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1431])).
% 0.78/0.98 tff(6570,plain,
% 0.78/0.98 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6569])).
% 0.78/0.98 tff(6571,plain,
% 0.78/0.98 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6570])).
% 0.78/0.98 tff(6572,plain,
% 0.78/0.98 (store(a_1826, i34, e34) = store(store(a_1825, i26, e26), i34, e34)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1450])).
% 0.78/0.98 tff(6573,plain,
% 0.78/0.98 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6572])).
% 0.78/0.98 tff(6574,plain,
% 0.78/0.98 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6573])).
% 0.78/0.98 tff(6575,plain,
% 0.78/0.98 (store(a_1825, i26, e26) = store(store(a_1824, i18, e18), i26, e26)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1469])).
% 0.78/0.98 tff(6576,plain,
% 0.78/0.98 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6575])).
% 0.78/0.98 tff(6577,plain,
% 0.78/0.98 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6576])).
% 0.78/0.98 tff(6578,plain,
% 0.78/0.98 (store(a_1824, i18, e18) = store(store(a_1823, i47, e47), i18, e18)),
% 0.78/0.98 inference(symmetry,[status(thm)],[1488])).
% 0.78/0.98 tff(6579,plain,
% 0.78/0.98 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6578])).
% 0.78/0.98 tff(6580,plain,
% 0.78/0.98 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6579])).
% 0.78/0.98 tff(6581,assumption,(~(i18 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.98 tff(6582,plain,
% 0.78/0.98 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1500, 6581])).
% 0.78/0.98 tff(6583,plain,
% 0.78/0.98 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6582])).
% 0.78/0.98 tff(6584,plain,
% 0.78/0.98 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[4392])).
% 0.78/0.98 tff(6585,plain,
% 0.78/0.98 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6215])).
% 0.78/0.98 tff(6586,plain,
% 0.78/0.98 (sk(a_1800, a_1850) = i17),
% 0.78/0.98 inference(symmetry,[status(thm)],[6293])).
% 0.78/0.98 tff(6587,plain,
% 0.78/0.98 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), i17)),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6212, 6586])).
% 0.78/0.98 tff(6588,plain,
% 0.78/0.98 (select(store(store(a_1820, i9, e9), i17, e17), i17) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6587])).
% 0.78/0.98 tff(6589,plain,
% 0.78/0.98 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1820, i9, e9), i17, e17), i17) = e17)),
% 0.78/0.98 inference(quant_inst,[status(thm)],[])).
% 0.78/0.98 tff(6590,plain,
% 0.78/0.98 (select(store(store(a_1820, i9, e9), i17, e17), i17) = e17),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[6589, 47])).
% 0.78/0.98 tff(6591,plain,
% 0.78/0.98 (e17 = select(store(store(a_1820, i9, e9), i17, e17), i17)),
% 0.78/0.98 inference(symmetry,[status(thm)],[6590])).
% 0.78/0.98 tff(6592,plain,
% 0.78/0.98 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1765, i16, e16), i17, e17), i17) = e17)),
% 0.78/0.98 inference(quant_inst,[status(thm)],[])).
% 0.78/0.98 tff(6593,plain,
% 0.78/0.98 (select(store(store(a_1765, i16, e16), i17, e17), i17) = e17),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[6592, 47])).
% 0.78/0.98 tff(6594,plain,
% 0.78/0.98 (select(store(store(a_1765, i16, e16), i17, e17), i17) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[360, 6293])).
% 0.78/0.98 tff(6595,plain,
% 0.78/0.98 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), i17)),
% 0.78/0.98 inference(symmetry,[status(thm)],[6594])).
% 0.78/0.98 tff(6596,plain,
% 0.78/0.98 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[373, 17, 6581])).
% 0.78/0.98 tff(6597,plain,
% 0.78/0.98 ((i19 = i17) <=> (i17 = i19)),
% 0.78/0.98 inference(commutativity,[status(thm)],[])).
% 0.78/0.98 tff(6598,plain,
% 0.78/0.98 ((i19 = sk(a_1800, a_1850)) <=> (i19 = i17)),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6586])).
% 0.78/0.98 tff(6599,plain,
% 0.78/0.98 ((i19 = sk(a_1800, a_1850)) <=> (i17 = i19)),
% 0.78/0.98 inference(transitivity,[status(thm)],[6598, 6597])).
% 0.78/0.98 tff(6600,plain,
% 0.78/0.98 ((i17 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6599])).
% 0.78/0.98 tff(6601,plain,
% 0.78/0.98 ((~(i17 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6600])).
% 0.78/0.98 tff(6602,plain,
% 0.78/0.98 ((~(i17 = i19)) <=> (~(i17 = i19))),
% 0.78/0.98 inference(rewrite,[status(thm)],[])).
% 0.78/0.98 tff(6603,axiom,(~(i17 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp662')).
% 0.78/0.98 tff(6604,plain,
% 0.78/0.98 (~(i17 = i19)),
% 0.78/0.98 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 0.78/0.98 tff(6605,plain,
% 0.78/0.98 (~(i19 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(modus_ponens,[status(thm)],[6604, 6601])).
% 0.78/0.98 tff(6606,plain,
% 0.78/0.98 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[3218, 6605])).
% 0.78/0.98 tff(6607,plain,
% 0.78/0.98 ((i17 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6293])).
% 0.78/0.98 tff(6608,plain,
% 0.78/0.98 ((i17 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(transitivity,[status(thm)],[6607, 401])).
% 0.78/0.98 tff(6609,plain,
% 0.78/0.98 ((~(i17 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.78/0.98 inference(monotonicity,[status(thm)],[6608])).
% 0.78/0.98 tff(6610,plain,
% 0.78/0.98 ((~(i17 = i20)) <=> (~(i17 = i20))),
% 0.78/0.98 inference(rewrite,[status(thm)],[])).
% 0.78/0.98 tff(6611,axiom,(~(i17 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp661')).
% 0.78/0.98 tff(6612,plain,
% 0.78/0.98 (~(i17 = i20)),
% 0.78/0.98 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 0.78/0.98 tff(6613,plain,
% 0.78/0.98 (~(i20 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(modus_ponens,[status(thm)],[6612, 6609])).
% 0.78/0.98 tff(6614,plain,
% 0.78/0.98 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[3206, 6613])).
% 0.78/0.98 tff(6615,assumption,(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.98 tff(6616,assumption,(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.98 tff(6617,plain,
% 0.78/0.98 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[486, 17, 2353])).
% 0.78/0.98 tff(6618,plain,
% 0.78/0.98 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1960, 6552])).
% 0.78/0.98 tff(6619,plain,
% 0.78/0.98 (e_1852 = e_1853),
% 0.78/0.98 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6618, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6614, 400, 6606, 381, 6596, 6595, 6593, 6591, 6588, 6547, 6585, 6546, 6584, 6583, 6580, 6413, 6577, 6361, 6574, 6411, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6554, 6551, 6104, 6328, 6102, 6325, 5686, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 2506, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.78/0.98 tff(6620,plain,
% 0.78/0.98 ($false),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[999, 6619])).
% 0.78/0.98 tff(6621,plain,((~(i17 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i18 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/0.98 tff(6622,plain,
% 0.78/0.98 (~(i17 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[6621, 3195, 2578, 6535, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6545, 6214, 2904, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6366, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 6542])).
% 0.78/0.98 tff(6623,plain,
% 0.78/0.98 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1557, 6622])).
% 0.78/0.98 tff(6624,plain,
% 0.78/0.98 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6623])).
% 0.78/0.98 tff(6625,plain,
% 0.78/0.98 (~(i31 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1994, 1035, 6278, 983])).
% 0.78/0.98 tff(6626,plain,
% 0.78/0.98 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1052, 6625])).
% 0.78/0.98 tff(6627,plain,
% 0.78/0.98 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6626])).
% 0.78/0.98 tff(6628,plain,
% 0.78/0.98 (~(i24 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[2352, 1774, 1035, 1756, 6278, 983])).
% 0.78/0.98 tff(6629,plain,
% 0.78/0.98 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1090, 6628])).
% 0.78/0.98 tff(6630,plain,
% 0.78/0.98 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.78/0.98 inference(symmetry,[status(thm)],[6629])).
% 0.78/0.98 tff(6631,plain,
% 0.78/0.98 (~(i48 = sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[2115, 6278, 983, 1035])).
% 0.78/0.98 tff(6632,plain,
% 0.78/0.98 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 0.78/0.98 inference(unit_resolution,[status(thm)],[1241, 17, 6631])).
% 0.78/0.99 tff(6633,plain,
% 0.78/0.99 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6632])).
% 0.78/0.99 tff(6634,plain,
% 0.78/0.99 (~(i35 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 1035, 6140, 4760, 6095, 6323, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 6278, 983])).
% 0.78/0.99 tff(6635,plain,
% 0.78/0.99 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1310, 6634])).
% 0.78/0.99 tff(6636,plain,
% 0.78/0.99 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6635])).
% 0.78/0.99 tff(6637,assumption,(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.99 tff(6638,plain,
% 0.78/0.99 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6637])).
% 0.78/0.99 tff(6639,assumption,(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/0.99 tff(6640,plain,
% 0.78/0.99 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6639])).
% 0.78/0.99 tff(6641,assumption,(i20 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/0.99 tff(6642,plain,
% 0.78/0.99 ((i9 = i20) <=> (i9 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6641])).
% 0.78/0.99 tff(6643,plain,
% 0.78/0.99 ((~(i9 = i20)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6642])).
% 0.78/0.99 tff(6644,plain,
% 0.78/0.99 ((~(i9 = i20)) <=> (~(i9 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6645,axiom,(~(i9 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp953')).
% 0.78/0.99 tff(6646,plain,
% 0.78/0.99 (~(i9 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6645, 6644])).
% 0.78/0.99 tff(6647,plain,
% 0.78/0.99 (~(i9 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6646, 6643])).
% 0.78/0.99 tff(6648,plain,
% 0.78/0.99 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1576, 6647])).
% 0.78/0.99 tff(6649,plain,
% 0.78/0.99 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6648])).
% 0.78/0.99 tff(6650,plain,
% 0.78/0.99 (sk(a_1800, a_1850) = i20),
% 0.78/0.99 inference(symmetry,[status(thm)],[6641])).
% 0.78/0.99 tff(6651,plain,
% 0.78/0.99 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6652,plain,
% 0.78/0.99 ((i7 = i20) <=> (i7 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6651])).
% 0.78/0.99 tff(6653,plain,
% 0.78/0.99 ((~(i7 = i20)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6652])).
% 0.78/0.99 tff(6654,plain,
% 0.78/0.99 ((~(i7 = i20)) <=> (~(i7 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6655,axiom,(~(i7 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1036')).
% 0.78/0.99 tff(6656,plain,
% 0.78/0.99 (~(i7 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 0.78/0.99 tff(6657,plain,
% 0.78/0.99 (~(i7 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6656, 6653])).
% 0.78/0.99 tff(6658,plain,
% 0.78/0.99 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1614, 6657])).
% 0.78/0.99 tff(6659,plain,
% 0.78/0.99 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6658])).
% 0.78/0.99 tff(6660,plain,
% 0.78/0.99 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6661,plain,
% 0.78/0.99 ((i15 = i20) <=> (i15 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6660])).
% 0.78/0.99 tff(6662,plain,
% 0.78/0.99 ((~(i15 = i20)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6661])).
% 0.78/0.99 tff(6663,plain,
% 0.78/0.99 ((~(i15 = i20)) <=> (~(i15 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6664,axiom,(~(i15 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp728')).
% 0.78/0.99 tff(6665,plain,
% 0.78/0.99 (~(i15 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 0.78/0.99 tff(6666,plain,
% 0.78/0.99 (~(i15 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6665, 6662])).
% 0.78/0.99 tff(6667,plain,
% 0.78/0.99 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1633, 6666])).
% 0.78/0.99 tff(6668,plain,
% 0.78/0.99 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6667])).
% 0.78/0.99 tff(6669,plain,
% 0.78/0.99 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1651, 17, 6540])).
% 0.78/0.99 tff(6670,plain,
% 0.78/0.99 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6669])).
% 0.78/0.99 tff(6671,plain,
% 0.78/0.99 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6672,plain,
% 0.78/0.99 ((i6 = i20) <=> (i6 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6671])).
% 0.78/0.99 tff(6673,plain,
% 0.78/0.99 ((~(i6 = i20)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6672])).
% 0.78/0.99 tff(6674,plain,
% 0.78/0.99 ((~(i6 = i20)) <=> (~(i6 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6675,axiom,(~(i6 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1079')).
% 0.78/0.99 tff(6676,plain,
% 0.78/0.99 (~(i6 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 0.78/0.99 tff(6677,plain,
% 0.78/0.99 (~(i6 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6676, 6673])).
% 0.78/0.99 tff(6678,plain,
% 0.78/0.99 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1671, 6677])).
% 0.78/0.99 tff(6679,plain,
% 0.78/0.99 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6678])).
% 0.78/0.99 tff(6680,plain,
% 0.78/0.99 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6681,plain,
% 0.78/0.99 ((i13 = i20) <=> (i13 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6680])).
% 0.78/0.99 tff(6682,plain,
% 0.78/0.99 ((~(i13 = i20)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6681])).
% 0.78/0.99 tff(6683,plain,
% 0.78/0.99 ((~(i13 = i20)) <=> (~(i13 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6684,axiom,(~(i13 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp799')).
% 0.78/0.99 tff(6685,plain,
% 0.78/0.99 (~(i13 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6684, 6683])).
% 0.78/0.99 tff(6686,plain,
% 0.78/0.99 (~(i13 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6685, 6682])).
% 0.78/0.99 tff(6687,plain,
% 0.78/0.99 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1690, 6686])).
% 0.78/0.99 tff(6688,plain,
% 0.78/0.99 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6687])).
% 0.78/0.99 tff(6689,plain,
% 0.78/0.99 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6690,plain,
% 0.78/0.99 ((i14 = i20) <=> (i14 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6689])).
% 0.78/0.99 tff(6691,plain,
% 0.78/0.99 ((~(i14 = i20)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6690])).
% 0.78/0.99 tff(6692,plain,
% 0.78/0.99 ((~(i14 = i20)) <=> (~(i14 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6693,axiom,(~(i14 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp763')).
% 0.78/0.99 tff(6694,plain,
% 0.78/0.99 (~(i14 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 0.78/0.99 tff(6695,plain,
% 0.78/0.99 (~(i14 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6694, 6691])).
% 0.78/0.99 tff(6696,plain,
% 0.78/0.99 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1708, 6695])).
% 0.78/0.99 tff(6697,plain,
% 0.78/0.99 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6696])).
% 0.78/0.99 tff(6698,plain,
% 0.78/0.99 (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[3673, 17, 6277])).
% 0.78/0.99 tff(6699,plain,
% 0.78/0.99 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6698])).
% 0.78/0.99 tff(6700,plain,
% 0.78/0.99 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6701,plain,
% 0.78/0.99 ((i8 = i20) <=> (i8 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6700])).
% 0.78/0.99 tff(6702,plain,
% 0.78/0.99 ((~(i8 = i20)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6701])).
% 0.78/0.99 tff(6703,plain,
% 0.78/0.99 ((~(i8 = i20)) <=> (~(i8 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6704,axiom,(~(i8 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp994')).
% 0.78/0.99 tff(6705,plain,
% 0.78/0.99 (~(i8 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 0.78/0.99 tff(6706,plain,
% 0.78/0.99 (~(i8 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6705, 6702])).
% 0.78/0.99 tff(6707,plain,
% 0.78/0.99 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[3692, 6706])).
% 0.78/0.99 tff(6708,plain,
% 0.78/0.99 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6707])).
% 0.78/0.99 tff(6709,plain,
% 0.78/0.99 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6650])).
% 0.78/0.99 tff(6710,plain,
% 0.78/0.99 ((i16 = i20) <=> (i16 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6709])).
% 0.78/0.99 tff(6711,plain,
% 0.78/0.99 ((~(i16 = i20)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6710])).
% 0.78/0.99 tff(6712,plain,
% 0.78/0.99 ((~(i16 = i20)) <=> (~(i16 = i20))),
% 0.78/0.99 inference(rewrite,[status(thm)],[])).
% 0.78/0.99 tff(6713,axiom,(~(i16 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp694')).
% 0.78/0.99 tff(6714,plain,
% 0.78/0.99 (~(i16 = i20)),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 0.78/0.99 tff(6715,plain,
% 0.78/0.99 (~(i16 = sk(a_1800, a_1850))),
% 0.78/0.99 inference(modus_ponens,[status(thm)],[6714, 6711])).
% 0.78/0.99 tff(6716,plain,
% 0.78/0.99 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[3711, 6715])).
% 0.78/0.99 tff(6717,plain,
% 0.78/0.99 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6716])).
% 0.78/0.99 tff(6718,plain,
% 0.78/0.99 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[3729, 17, 797])).
% 0.78/0.99 tff(6719,plain,
% 0.78/0.99 (select(store(a_1808, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850))),
% 0.78/0.99 inference(symmetry,[status(thm)],[6718])).
% 0.78/0.99 tff(6720,plain,
% 0.78/0.99 (select(store(store(a_1807, i39, e39), i20, e20), i20) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[3737, 6641])).
% 0.78/0.99 tff(6721,plain,
% 0.78/0.99 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1807, i39, e39), i20, e20), i20) = e20)),
% 0.78/0.99 inference(quant_inst,[status(thm)],[])).
% 0.78/0.99 tff(6722,plain,
% 0.78/0.99 (select(store(store(a_1807, i39, e39), i20, e20), i20) = e20),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[6721, 47])).
% 0.78/0.99 tff(6723,plain,
% 0.78/0.99 (e20 = select(store(store(a_1807, i39, e39), i20, e20), i20)),
% 0.78/0.99 inference(symmetry,[status(thm)],[6722])).
% 0.78/0.99 tff(6724,plain,
% 0.78/0.99 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1768, i19, e19), i20, e20), i20) = e20)),
% 0.78/0.99 inference(quant_inst,[status(thm)],[])).
% 0.78/0.99 tff(6725,plain,
% 0.78/0.99 (select(store(store(a_1768, i19, e19), i20, e20), i20) = e20),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[6724, 47])).
% 0.78/0.99 tff(6726,plain,
% 0.78/0.99 (store(a_1769, i20, e20) = store(store(a_1768, i19, e19), i20, e20)),
% 0.78/0.99 inference(symmetry,[status(thm)],[417])).
% 0.78/0.99 tff(6727,plain,
% 0.78/0.99 (select(store(a_1769, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), i20)),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6726, 6650])).
% 0.78/0.99 tff(6728,plain,
% 0.78/0.99 (store(a_1770, i21, e21) = store(store(a_1769, i20, e20), i21, e21)),
% 0.78/0.99 inference(symmetry,[status(thm)],[436])).
% 0.78/0.99 tff(6729,plain,
% 0.78/0.99 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6728])).
% 0.78/0.99 tff(6730,plain,
% 0.78/0.99 (store(a_1771, i22, e22) = store(store(a_1770, i21, e21), i22, e22)),
% 0.78/0.99 inference(symmetry,[status(thm)],[455])).
% 0.78/0.99 tff(6731,plain,
% 0.78/0.99 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6730])).
% 0.78/0.99 tff(6732,plain,
% 0.78/0.99 (store(a_1772, i23, e23) = store(store(a_1771, i22, e22), i23, e23)),
% 0.78/0.99 inference(symmetry,[status(thm)],[474])).
% 0.78/0.99 tff(6733,plain,
% 0.78/0.99 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6732])).
% 0.78/0.99 tff(6734,plain,
% 0.78/0.99 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[486, 17, 6628])).
% 0.78/0.99 tff(6735,plain,
% 0.78/0.99 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[2016])).
% 0.78/0.99 tff(6736,plain,
% 0.78/0.99 (store(a_1775, i26, e26) = store(store(a_1774, i25, e25), i26, e26)),
% 0.78/0.99 inference(symmetry,[status(thm)],[530])).
% 0.78/0.99 tff(6737,plain,
% 0.78/0.99 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6736])).
% 0.78/0.99 tff(6738,plain,
% 0.78/0.99 (store(a_1776, i27, e27) = store(store(a_1775, i26, e26), i27, e27)),
% 0.78/0.99 inference(symmetry,[status(thm)],[549])).
% 0.78/0.99 tff(6739,plain,
% 0.78/0.99 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6738])).
% 0.78/0.99 tff(6740,plain,
% 0.78/0.99 (store(a_1777, i28, e28) = store(store(a_1776, i27, e27), i28, e28)),
% 0.78/0.99 inference(symmetry,[status(thm)],[568])).
% 0.78/0.99 tff(6741,plain,
% 0.78/0.99 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6740])).
% 0.78/0.99 tff(6742,plain,
% 0.78/0.99 (store(a_1779, i30, e30) = store(store(a_1778, i29, e29), i30, e30)),
% 0.78/0.99 inference(symmetry,[status(thm)],[610])).
% 0.78/0.99 tff(6743,plain,
% 0.78/0.99 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6742])).
% 0.78/0.99 tff(6744,plain,
% 0.78/0.99 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[623, 17, 6625])).
% 0.78/0.99 tff(6745,plain,
% 0.78/0.99 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[1794])).
% 0.78/0.99 tff(6746,plain,
% 0.78/0.99 (store(a_1782, i33, e33) = store(store(a_1781, i32, e32), i33, e33)),
% 0.78/0.99 inference(symmetry,[status(thm)],[667])).
% 0.78/0.99 tff(6747,plain,
% 0.78/0.99 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6746])).
% 0.78/0.99 tff(6748,plain,
% 0.78/0.99 (store(a_1783, i34, e34) = store(store(a_1782, i33, e33), i34, e34)),
% 0.78/0.99 inference(symmetry,[status(thm)],[686])).
% 0.78/0.99 tff(6749,plain,
% 0.78/0.99 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6748])).
% 0.78/0.99 tff(6750,plain,
% 0.78/0.99 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1960, 6634])).
% 0.78/0.99 tff(6751,plain,
% 0.78/0.99 (store(a_1784, i35, e35) = store(store(a_1783, i34, e34), i35, e35)),
% 0.78/0.99 inference(symmetry,[status(thm)],[705])).
% 0.78/0.99 tff(6752,plain,
% 0.78/0.99 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6751])).
% 0.78/0.99 tff(6753,plain,
% 0.78/0.99 (select(store(a_1785, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.78/0.99 inference(monotonicity,[status(thm)],[6138])).
% 0.78/0.99 tff(6754,plain,
% 0.78/0.99 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[1806, 6631])).
% 0.78/0.99 tff(6755,plain,
% 0.78/0.99 (e_1852 = e_1853),
% 0.78/0.99 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 6278, 2889, 6754, 2887, 1756, 6158, 1776, 6157, 1764, 6155, 2518, 6153, 2520, 6151, 5438, 6149, 5440, 6147, 6323, 6145, 6095, 6143, 4760, 2516, 6140, 6753, 6292, 6752, 6750, 6749, 6365, 6747, 6366, 2367, 6359, 6745, 6744, 6743, 6388, 3992, 5757, 6741, 6390, 6739, 6541, 6737, 6495, 5705, 6497, 6735, 6734, 6733, 6499, 6731, 6616, 6729, 6615, 6727, 6725, 6723, 6720, 6719, 3719, 6717, 3700, 6708, 3681, 6699, 3670, 6697, 1698, 6688, 1679, 6679, 1660, 6670, 1641, 6668, 1622, 6659, 1603, 6443, 1584, 6649, 1565, 6640, 1546, 6547, 1527, 6546, 1508, 6638, 1489, 6413, 1470, 6361, 1451, 6411, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6636, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 6633, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 6630, 1079, 1998, 1060, 6627, 1042, 1036, 1034, 26])).
% 0.78/0.99 tff(6756,plain,
% 0.78/0.99 ($false),
% 0.78/0.99 inference(unit_resolution,[status(thm)],[999, 6755])).
% 0.78/0.99 tff(6757,plain,((~(i20 = sk(a_1800, a_1850))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i27 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.00 tff(6758,plain,
% 0.78/1.00 (~(i20 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6757, 6549, 1756, 1776, 6321, 2518, 4101, 5438, 6322, 5814, 4760, 6140, 6292, 6365, 6359, 6367, 5757, 6369, 6495, 6497, 6499, 983, 3195, 6623, 6214, 6545, 6543, 6412, 6360, 6356, 6274, 6288, 6289, 6408, 6406, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 6535, 2578, 2904, 797, 6277, 6540, 6287])).
% 0.78/1.00 tff(6759,plain,
% 0.78/1.00 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3206, 6758])).
% 0.78/1.00 tff(6760,plain,
% 0.78/1.00 (~(i35 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 1775, 2501, 2503, 5421, 5118, 5120, 5683, 6317, 6101, 6103, 1035, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.78/1.00 tff(6761,plain,
% 0.78/1.00 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1310, 6760])).
% 0.78/1.00 tff(6762,plain,
% 0.78/1.00 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6761])).
% 0.78/1.00 tff(6763,plain,
% 0.78/1.00 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6213])).
% 0.78/1.00 tff(6764,plain,
% 0.78/1.00 (~(i17 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6621, 6615, 1774, 1775, 2501, 2503, 5421, 5118, 5120, 5683, 6317, 6101, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6545, 6214, 1035, 6616, 6499, 6497, 6495, 6493, 6390, 5757, 6388, 6359, 6491, 6365, 6292, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983, 6581])).
% 0.78/1.00 tff(6765,plain,
% 0.78/1.00 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1557, 6764])).
% 0.78/1.00 tff(6766,plain,
% 0.78/1.00 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6765])).
% 0.78/1.00 tff(6767,assumption,(i9 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.78/1.00 tff(6768,plain,
% 0.78/1.00 (sk(a_1800, a_1850) = i9),
% 0.78/1.00 inference(symmetry,[status(thm)],[6767])).
% 0.78/1.00 tff(6769,plain,
% 0.78/1.00 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), i9)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6203, 6768])).
% 0.78/1.00 tff(6770,plain,
% 0.78/1.00 (select(store(store(a_1819, i33, e33), i9, e9), i9) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6769])).
% 0.78/1.00 tff(6771,plain,
% 0.78/1.00 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1819, i33, e33), i9, e9), i9) = e9)),
% 0.78/1.00 inference(quant_inst,[status(thm)],[])).
% 0.78/1.00 tff(6772,plain,
% 0.78/1.00 (select(store(store(a_1819, i33, e33), i9, e9), i9) = e9),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6771, 47])).
% 0.78/1.00 tff(6773,plain,
% 0.78/1.00 (e9 = select(store(store(a_1819, i33, e33), i9, e9), i9)),
% 0.78/1.00 inference(symmetry,[status(thm)],[6772])).
% 0.78/1.00 tff(6774,plain,
% 0.78/1.00 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1757, i8, e8), i9, e9), i9) = e9)),
% 0.78/1.00 inference(quant_inst,[status(thm)],[])).
% 0.78/1.00 tff(6775,plain,
% 0.78/1.00 (select(store(store(a_1757, i8, e8), i9, e9), i9) = e9),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6774, 47])).
% 0.78/1.00 tff(6776,plain,
% 0.78/1.00 (select(store(store(a_1757, i8, e8), i9, e9), i9) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[204, 6767])).
% 0.78/1.00 tff(6777,plain,
% 0.78/1.00 (select(store(a_1758, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1757, i8, e8), i9, e9), i9)),
% 0.78/1.00 inference(symmetry,[status(thm)],[6776])).
% 0.78/1.00 tff(6778,plain,
% 0.78/1.00 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[217, 17, 6286])).
% 0.78/1.00 tff(6779,plain,
% 0.78/1.00 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[236, 17, 6355])).
% 0.78/1.00 tff(6780,plain,
% 0.78/1.00 ((i13 = i9) <=> (i9 = i13)),
% 0.78/1.00 inference(commutativity,[status(thm)],[])).
% 0.78/1.00 tff(6781,plain,
% 0.78/1.00 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i9)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6768])).
% 0.78/1.00 tff(6782,plain,
% 0.78/1.00 ((i13 = sk(a_1800, a_1850)) <=> (i9 = i13)),
% 0.78/1.00 inference(transitivity,[status(thm)],[6781, 6780])).
% 0.78/1.00 tff(6783,plain,
% 0.78/1.00 ((i9 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6782])).
% 0.78/1.00 tff(6784,plain,
% 0.78/1.00 ((~(i9 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6783])).
% 0.78/1.00 tff(6785,plain,
% 0.78/1.00 ((~(i9 = i13)) <=> (~(i9 = i13))),
% 0.78/1.00 inference(rewrite,[status(thm)],[])).
% 0.78/1.00 tff(6786,axiom,(~(i9 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp960')).
% 0.78/1.00 tff(6787,plain,
% 0.78/1.00 (~(i9 = i13)),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 0.78/1.00 tff(6788,plain,
% 0.78/1.00 (~(i13 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6787, 6784])).
% 0.78/1.00 tff(6789,plain,
% 0.78/1.00 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3290, 6788])).
% 0.78/1.00 tff(6790,plain,
% 0.78/1.00 ((i14 = i9) <=> (i9 = i14)),
% 0.78/1.00 inference(commutativity,[status(thm)],[])).
% 0.78/1.00 tff(6791,plain,
% 0.78/1.00 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i9)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6768])).
% 0.78/1.00 tff(6792,plain,
% 0.78/1.00 ((i14 = sk(a_1800, a_1850)) <=> (i9 = i14)),
% 0.78/1.00 inference(transitivity,[status(thm)],[6791, 6790])).
% 0.78/1.00 tff(6793,plain,
% 0.78/1.00 ((i9 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6792])).
% 0.78/1.00 tff(6794,plain,
% 0.78/1.00 ((~(i9 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6793])).
% 0.78/1.00 tff(6795,plain,
% 0.78/1.00 ((~(i9 = i14)) <=> (~(i9 = i14))),
% 0.78/1.00 inference(rewrite,[status(thm)],[])).
% 0.78/1.00 tff(6796,axiom,(~(i9 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp959')).
% 0.78/1.00 tff(6797,plain,
% 0.78/1.00 (~(i9 = i14)),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6796, 6795])).
% 0.78/1.00 tff(6798,plain,
% 0.78/1.00 (~(i14 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6797, 6794])).
% 0.78/1.00 tff(6799,plain,
% 0.78/1.00 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3278, 6798])).
% 0.78/1.00 tff(6800,plain,
% 0.78/1.00 ((i15 = i9) <=> (i9 = i15)),
% 0.78/1.00 inference(commutativity,[status(thm)],[])).
% 0.78/1.00 tff(6801,plain,
% 0.78/1.00 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i9)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6768])).
% 0.78/1.00 tff(6802,plain,
% 0.78/1.00 ((i15 = sk(a_1800, a_1850)) <=> (i9 = i15)),
% 0.78/1.00 inference(transitivity,[status(thm)],[6801, 6800])).
% 0.78/1.00 tff(6803,plain,
% 0.78/1.00 ((i9 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6802])).
% 0.78/1.00 tff(6804,plain,
% 0.78/1.00 ((~(i9 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6803])).
% 0.78/1.00 tff(6805,plain,
% 0.78/1.00 ((~(i9 = i15)) <=> (~(i9 = i15))),
% 0.78/1.00 inference(rewrite,[status(thm)],[])).
% 0.78/1.00 tff(6806,axiom,(~(i9 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp958')).
% 0.78/1.00 tff(6807,plain,
% 0.78/1.00 (~(i9 = i15)),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 0.78/1.00 tff(6808,plain,
% 0.78/1.00 (~(i15 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6807, 6804])).
% 0.78/1.00 tff(6809,plain,
% 0.78/1.00 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3266, 6808])).
% 0.78/1.00 tff(6810,plain,
% 0.78/1.00 ((i16 = i9) <=> (i9 = i16)),
% 0.78/1.00 inference(commutativity,[status(thm)],[])).
% 0.78/1.00 tff(6811,plain,
% 0.78/1.00 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i9)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6768])).
% 0.78/1.00 tff(6812,plain,
% 0.78/1.00 ((i16 = sk(a_1800, a_1850)) <=> (i9 = i16)),
% 0.78/1.00 inference(transitivity,[status(thm)],[6811, 6810])).
% 0.78/1.00 tff(6813,plain,
% 0.78/1.00 ((i9 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6812])).
% 0.78/1.00 tff(6814,plain,
% 0.78/1.00 ((~(i9 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6813])).
% 0.78/1.00 tff(6815,plain,
% 0.78/1.00 ((~(i9 = i16)) <=> (~(i9 = i16))),
% 0.78/1.00 inference(rewrite,[status(thm)],[])).
% 0.78/1.00 tff(6816,axiom,(~(i9 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp957')).
% 0.78/1.00 tff(6817,plain,
% 0.78/1.00 (~(i9 = i16)),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 0.78/1.00 tff(6818,plain,
% 0.78/1.00 (~(i16 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6817, 6814])).
% 0.78/1.00 tff(6819,plain,
% 0.78/1.00 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3254, 6818])).
% 0.78/1.00 tff(6820,plain,
% 0.78/1.00 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[354, 17, 6764])).
% 0.78/1.00 tff(6821,plain,
% 0.78/1.00 ((i9 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6767])).
% 0.78/1.00 tff(6822,plain,
% 0.78/1.00 ((i9 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(transitivity,[status(thm)],[6821, 382])).
% 0.78/1.00 tff(6823,plain,
% 0.78/1.00 ((~(i9 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.78/1.00 inference(monotonicity,[status(thm)],[6822])).
% 0.78/1.00 tff(6824,plain,
% 0.78/1.00 ((~(i9 = i19)) <=> (~(i9 = i19))),
% 0.78/1.00 inference(rewrite,[status(thm)],[])).
% 0.78/1.00 tff(6825,axiom,(~(i9 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp954')).
% 0.78/1.00 tff(6826,plain,
% 0.78/1.00 (~(i9 = i19)),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6825, 6824])).
% 0.78/1.00 tff(6827,plain,
% 0.78/1.00 (~(i19 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(modus_ponens,[status(thm)],[6826, 6823])).
% 0.78/1.00 tff(6828,plain,
% 0.78/1.00 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[3218, 6827])).
% 0.78/1.00 tff(6829,assumption,(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/1.00 tff(6830,plain,
% 0.78/1.00 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1960, 6760])).
% 0.78/1.00 tff(6831,plain,
% 0.78/1.00 (e_1852 = e_1853),
% 0.78/1.00 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6830, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6829, 400, 6828, 381, 6596, 362, 6820, 343, 6819, 324, 6809, 305, 6799, 286, 6789, 267, 5672, 244, 6779, 225, 6778, 6777, 6775, 6773, 6770, 6766, 6763, 6547, 6585, 6546, 6584, 6583, 6580, 6413, 6577, 6361, 6574, 6357, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6762, 6551, 6104, 6328, 6102, 6325, 6318, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 5422, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.78/1.00 tff(6832,plain,
% 0.78/1.00 ($false),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[999, 6831])).
% 0.78/1.00 tff(6833,plain,((~(i9 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i18 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.78/1.00 tff(6834,plain,
% 0.78/1.00 (~(i9 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[6833, 6759, 2578, 6535, 2501, 5816, 5118, 5824, 5683, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6360, 6412, 6545, 6214, 2904, 3195, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6366, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 6286, 6355, 254, 6542])).
% 0.78/1.00 tff(6835,plain,
% 0.78/1.00 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1576, 6834])).
% 0.78/1.00 tff(6836,plain,
% 0.78/1.00 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6835])).
% 0.78/1.00 tff(6837,plain,
% 0.78/1.00 (~(i24 = sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[2352, 1774, 2904, 1756, 6278, 983])).
% 0.78/1.00 tff(6838,plain,
% 0.78/1.00 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1090, 6837])).
% 0.78/1.00 tff(6839,plain,
% 0.78/1.00 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6838])).
% 0.78/1.00 tff(6840,assumption,(~(i4 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.78/1.00 tff(6841,plain,
% 0.78/1.00 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.78/1.00 inference(unit_resolution,[status(thm)],[1109, 6840])).
% 0.78/1.00 tff(6842,plain,
% 0.78/1.00 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.78/1.00 inference(symmetry,[status(thm)],[6841])).
% 0.78/1.00 tff(6843,plain,
% 0.84/1.01 (~(i35 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 6841, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 2904, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983])).
% 0.84/1.01 tff(6844,plain,
% 0.84/1.01 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1310, 6843])).
% 0.84/1.01 tff(6845,plain,
% 0.84/1.01 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6844])).
% 0.84/1.01 tff(6846,plain,
% 0.84/1.01 (~(i17 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6621, 6615, 1774, 6841, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6545, 6214, 2904, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 6581])).
% 0.84/1.01 tff(6847,plain,
% 0.84/1.01 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1557, 6846])).
% 0.84/1.01 tff(6848,plain,
% 0.84/1.01 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6847])).
% 0.84/1.01 tff(6849,plain,
% 0.84/1.01 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6204])).
% 0.84/1.01 tff(6850,assumption,(~(i20 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6851,plain,
% 0.84/1.01 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[3206, 6850])).
% 0.84/1.01 tff(6852,plain,
% 0.84/1.01 (~(i9 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6833, 6851, 1774, 6841, 2501, 5816, 5118, 5824, 5683, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6360, 6412, 6545, 6214, 2904, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 6286, 6355, 254, 6581])).
% 0.84/1.01 tff(6853,plain,
% 0.84/1.01 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1576, 6852])).
% 0.84/1.01 tff(6854,plain,
% 0.84/1.01 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6853])).
% 0.84/1.01 tff(6855,plain,
% 0.84/1.01 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6195])).
% 0.84/1.01 tff(6856,assumption,(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6857,plain,
% 0.84/1.01 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6856])).
% 0.84/1.01 tff(6858,assumption,(~(i19 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6859,plain,
% 0.84/1.01 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[354, 17, 6846])).
% 0.84/1.01 tff(6860,assumption,(~(i9 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6861,plain,
% 0.84/1.01 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1576, 6860])).
% 0.84/1.01 tff(6862,plain,
% 0.84/1.01 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6861])).
% 0.84/1.01 tff(6863,plain,
% 0.84/1.01 (store(a_1818, i7, e7) = store(store(a_1817, i15, e15), i7, e7)),
% 0.84/1.01 inference(symmetry,[status(thm)],[1602])).
% 0.84/1.01 tff(6864,plain,
% 0.84/1.01 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6863])).
% 0.84/1.01 tff(6865,plain,
% 0.84/1.01 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6864])).
% 0.84/1.01 tff(6866,assumption,(~(i7 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6867,plain,
% 0.84/1.01 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1614, 6866])).
% 0.84/1.01 tff(6868,plain,
% 0.84/1.01 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6867])).
% 0.84/1.01 tff(6869,plain,
% 0.84/1.01 (store(a_1817, i15, e15) = store(store(a_1816, i27, e27), i15, e15)),
% 0.84/1.01 inference(symmetry,[status(thm)],[1621])).
% 0.84/1.01 tff(6870,plain,
% 0.84/1.01 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6869])).
% 0.84/1.01 tff(6871,plain,
% 0.84/1.01 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6870])).
% 0.84/1.01 tff(6872,plain,
% 0.84/1.01 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[3218, 6858])).
% 0.84/1.01 tff(6873,assumption,(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6874,assumption,(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6875,assumption,(i16 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.01 tff(6876,plain,
% 0.84/1.01 (sk(a_1800, a_1850) = i16),
% 0.84/1.01 inference(symmetry,[status(thm)],[6875])).
% 0.84/1.01 tff(6877,plain,
% 0.84/1.01 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i16)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6876])).
% 0.84/1.01 tff(6878,plain,
% 0.84/1.01 ((i8 = i16) <=> (i8 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6877])).
% 0.84/1.01 tff(6879,plain,
% 0.84/1.01 ((~(i8 = i16)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6878])).
% 0.84/1.01 tff(6880,plain,
% 0.84/1.01 ((~(i8 = i16)) <=> (~(i8 = i16))),
% 0.84/1.01 inference(rewrite,[status(thm)],[])).
% 0.84/1.01 tff(6881,axiom,(~(i8 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp998')).
% 0.84/1.01 tff(6882,plain,
% 0.84/1.01 (~(i8 = i16)),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 0.84/1.01 tff(6883,plain,
% 0.84/1.01 (~(i8 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6882, 6879])).
% 0.84/1.01 tff(6884,plain,
% 0.84/1.01 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6278])).
% 0.84/1.01 tff(6885,plain,
% 0.84/1.01 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6754])).
% 0.84/1.01 tff(6886,plain,
% 0.84/1.01 (~(i35 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6343, 6292, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 1035, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 6278, 983])).
% 0.84/1.01 tff(6887,plain,
% 0.84/1.01 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1960, 6886])).
% 0.84/1.01 tff(6888,plain,
% 0.84/1.01 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6887])).
% 0.84/1.01 tff(6889,plain,
% 0.84/1.01 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6744])).
% 0.84/1.01 tff(6890,plain,
% 0.84/1.01 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6541])).
% 0.84/1.01 tff(6891,plain,
% 0.84/1.01 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6734])).
% 0.84/1.01 tff(6892,plain,
% 0.84/1.01 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6616])).
% 0.84/1.01 tff(6893,plain,
% 0.84/1.01 (select(store(a_1769, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6615])).
% 0.84/1.01 tff(6894,plain,
% 0.84/1.01 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6829])).
% 0.84/1.01 tff(6895,assumption,(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6896,plain,
% 0.84/1.01 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6895])).
% 0.84/1.01 tff(6897,plain,
% 0.84/1.01 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6873])).
% 0.84/1.01 tff(6898,plain,
% 0.84/1.01 (select(store(a_1765, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6874])).
% 0.84/1.01 tff(6899,plain,
% 0.84/1.01 (select(store(store(a_1764, i15, e15), i16, e16), i16) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[341, 6875])).
% 0.84/1.01 tff(6900,plain,
% 0.84/1.01 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1764, i15, e15), i16, e16), i16) = e16)),
% 0.84/1.01 inference(quant_inst,[status(thm)],[])).
% 0.84/1.01 tff(6901,plain,
% 0.84/1.01 (select(store(store(a_1764, i15, e15), i16, e16), i16) = e16),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6900, 47])).
% 0.84/1.01 tff(6902,plain,
% 0.84/1.01 (e16 = select(store(store(a_1764, i15, e15), i16, e16), i16)),
% 0.84/1.01 inference(symmetry,[status(thm)],[6901])).
% 0.84/1.01 tff(6903,plain,
% 0.84/1.01 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1809, i40, e40), i16, e16), i16) = e16)),
% 0.84/1.01 inference(quant_inst,[status(thm)],[])).
% 0.84/1.01 tff(6904,plain,
% 0.84/1.01 (select(store(store(a_1809, i40, e40), i16, e16), i16) = e16),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[6903, 47])).
% 0.84/1.01 tff(6905,plain,
% 0.84/1.01 (store(a_1810, i16, e16) = store(store(a_1809, i40, e40), i16, e16)),
% 0.84/1.01 inference(symmetry,[status(thm)],[3699])).
% 0.84/1.01 tff(6906,plain,
% 0.84/1.01 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), i16)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6905, 6876])).
% 0.84/1.01 tff(6907,plain,
% 0.84/1.01 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = e_1852),
% 0.84/1.01 inference(transitivity,[status(thm)],[6906, 6904, 6902, 6899, 6898, 361, 6897, 380, 6896, 399, 6894, 418, 6893, 437, 6892, 456, 6500, 475, 6891, 493, 6498, 512, 6496, 531, 6890, 550, 6391, 569, 5758, 592, 6389, 611, 6889, 630, 6387, 649, 6492, 668, 6385, 687, 6888, 706, 6381, 725, 6180, 744, 5716, 767, 6380, 786, 5442, 809, 5441, 828, 5439, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 6885, 961, 6884, 981, 1797, 994, 5])).
% 0.84/1.01 tff(6908,plain,
% 0.84/1.01 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1310, 6886])).
% 0.84/1.01 tff(6909,plain,
% 0.84/1.01 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6908])).
% 0.84/1.01 tff(6910,assumption,(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6911,plain,
% 0.84/1.01 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6910])).
% 0.84/1.01 tff(6912,assumption,(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.01 tff(6913,plain,
% 0.84/1.01 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6912])).
% 0.84/1.01 tff(6914,plain,
% 0.84/1.01 ((i15 = i16) <=> (i15 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6875])).
% 0.84/1.01 tff(6915,plain,
% 0.84/1.01 ((~(i15 = i16)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6914])).
% 0.84/1.01 tff(6916,plain,
% 0.84/1.01 ((~(i15 = i16)) <=> (~(i15 = i16))),
% 0.84/1.01 inference(rewrite,[status(thm)],[])).
% 0.84/1.01 tff(6917,axiom,(~(i15 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp732')).
% 0.84/1.01 tff(6918,plain,
% 0.84/1.01 (~(i15 = i16)),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 0.84/1.01 tff(6919,plain,
% 0.84/1.01 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6918, 6915])).
% 0.84/1.01 tff(6920,plain,
% 0.84/1.01 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1633, 6919])).
% 0.84/1.01 tff(6921,plain,
% 0.84/1.01 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6920])).
% 0.84/1.01 tff(6922,plain,
% 0.84/1.01 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i16)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6876])).
% 0.84/1.01 tff(6923,plain,
% 0.84/1.01 ((i6 = i16) <=> (i6 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6922])).
% 0.84/1.01 tff(6924,plain,
% 0.84/1.01 ((~(i6 = i16)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6923])).
% 0.84/1.01 tff(6925,plain,
% 0.84/1.01 ((~(i6 = i16)) <=> (~(i6 = i16))),
% 0.84/1.01 inference(rewrite,[status(thm)],[])).
% 0.84/1.01 tff(6926,axiom,(~(i6 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1083')).
% 0.84/1.01 tff(6927,plain,
% 0.84/1.01 (~(i6 = i16)),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6926, 6925])).
% 0.84/1.01 tff(6928,plain,
% 0.84/1.01 (~(i6 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6927, 6924])).
% 0.84/1.01 tff(6929,plain,
% 0.84/1.01 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1671, 6928])).
% 0.84/1.01 tff(6930,plain,
% 0.84/1.01 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6929])).
% 0.84/1.01 tff(6931,plain,
% 0.84/1.01 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i16)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6876])).
% 0.84/1.01 tff(6932,plain,
% 0.84/1.01 ((i13 = i16) <=> (i13 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6931])).
% 0.84/1.01 tff(6933,plain,
% 0.84/1.01 ((~(i13 = i16)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6932])).
% 0.84/1.01 tff(6934,plain,
% 0.84/1.01 ((~(i13 = i16)) <=> (~(i13 = i16))),
% 0.84/1.01 inference(rewrite,[status(thm)],[])).
% 0.84/1.01 tff(6935,axiom,(~(i13 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp803')).
% 0.84/1.01 tff(6936,plain,
% 0.84/1.01 (~(i13 = i16)),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 0.84/1.01 tff(6937,plain,
% 0.84/1.01 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6936, 6933])).
% 0.84/1.01 tff(6938,plain,
% 0.84/1.01 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1690, 6937])).
% 0.84/1.01 tff(6939,plain,
% 0.84/1.01 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6938])).
% 0.84/1.01 tff(6940,plain,
% 0.84/1.01 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i16)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6876])).
% 0.84/1.01 tff(6941,plain,
% 0.84/1.01 ((i14 = i16) <=> (i14 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6940])).
% 0.84/1.01 tff(6942,plain,
% 0.84/1.01 ((~(i14 = i16)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6941])).
% 0.84/1.01 tff(6943,plain,
% 0.84/1.01 ((~(i14 = i16)) <=> (~(i14 = i16))),
% 0.84/1.01 inference(rewrite,[status(thm)],[])).
% 0.84/1.01 tff(6944,axiom,(~(i14 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp767')).
% 0.84/1.01 tff(6945,plain,
% 0.84/1.01 (~(i14 = i16)),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6944, 6943])).
% 0.84/1.01 tff(6946,plain,
% 0.84/1.01 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[6945, 6942])).
% 0.84/1.01 tff(6947,plain,
% 0.84/1.01 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[1708, 6946])).
% 0.84/1.01 tff(6948,plain,
% 0.84/1.01 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6947])).
% 0.84/1.01 tff(6949,plain,
% 0.84/1.01 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = e_1853),
% 0.84/1.01 inference(transitivity,[status(thm)],[3681, 6699, 3670, 6948, 1698, 6939, 1679, 6930, 1660, 6670, 1641, 6921, 1622, 6913, 1603, 6857, 1584, 6911, 1565, 6640, 1546, 6547, 1527, 6546, 1508, 6638, 1489, 6413, 1470, 6361, 1451, 6411, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6909, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 6633, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 6630, 1079, 1998, 1060, 6627, 1042, 1036, 1034, 26])).
% 0.84/1.01 tff(6950,plain,
% 0.84/1.01 ((select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6949, 6907])).
% 0.84/1.01 tff(6951,plain,
% 0.84/1.01 ((select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.84/1.01 inference(transitivity,[status(thm)],[6950, 1])).
% 0.84/1.01 tff(6952,plain,
% 0.84/1.01 ((e_1852 = e_1853) <=> (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850)))),
% 0.84/1.01 inference(symmetry,[status(thm)],[6951])).
% 0.84/1.01 tff(6953,plain,
% 0.84/1.01 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))))),
% 0.84/1.01 inference(monotonicity,[status(thm)],[6952])).
% 0.84/1.01 tff(6954,plain,
% 0.84/1.01 (~(select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850)))),
% 0.84/1.01 inference(modus_ponens,[status(thm)],[999, 6953])).
% 0.84/1.01 tff(6955,plain,
% 0.84/1.01 ($false),
% 0.84/1.01 inference(unit_resolution,[status(thm)],[3692, 6954, 6883])).
% 0.84/1.01 tff(6956,plain,((~(i16 = sk(a_1800, a_1850))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i49 = sk(a_1800, a_1850)) | (i27 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.02 tff(6957,plain,
% 0.84/1.02 (~(i16 = sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[6956, 6867, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 983, 6874, 6856, 6861, 6639, 6214, 6545, 6637, 6412, 6360, 6356, 6274, 6288, 6289, 6408, 6406, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 6841, 1774, 2904, 6277, 6540])).
% 0.84/1.02 tff(6958,plain,
% 0.84/1.02 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[3254, 6957])).
% 0.84/1.02 tff(6959,assumption,(i15 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.02 tff(6960,plain,
% 0.84/1.02 (sk(a_1800, a_1850) = i15),
% 0.84/1.02 inference(symmetry,[status(thm)],[6959])).
% 0.84/1.02 tff(6961,plain,
% 0.84/1.02 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), i15)),
% 0.84/1.02 inference(monotonicity,[status(thm)],[6869, 6960])).
% 0.84/1.02 tff(6962,plain,
% 0.84/1.02 (select(store(store(a_1816, i27, e27), i15, e15), i15) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6961])).
% 0.84/1.02 tff(6963,plain,
% 0.84/1.02 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1816, i27, e27), i15, e15), i15) = e15)),
% 0.84/1.02 inference(quant_inst,[status(thm)],[])).
% 0.84/1.02 tff(6964,plain,
% 0.84/1.02 (select(store(store(a_1816, i27, e27), i15, e15), i15) = e15),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[6963, 47])).
% 0.84/1.02 tff(6965,plain,
% 0.84/1.02 (e15 = select(store(store(a_1816, i27, e27), i15, e15), i15)),
% 0.84/1.02 inference(symmetry,[status(thm)],[6964])).
% 0.84/1.02 tff(6966,plain,
% 0.84/1.02 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1763, i14, e14), i15, e15), i15) = e15)),
% 0.84/1.02 inference(quant_inst,[status(thm)],[])).
% 0.84/1.02 tff(6967,plain,
% 0.84/1.02 (select(store(store(a_1763, i14, e14), i15, e15), i15) = e15),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[6966, 47])).
% 0.84/1.02 tff(6968,plain,
% 0.84/1.02 (select(store(store(a_1763, i14, e14), i15, e15), i15) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.02 inference(monotonicity,[status(thm)],[322, 6959])).
% 0.84/1.02 tff(6969,plain,
% 0.84/1.02 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), i15)),
% 0.84/1.02 inference(symmetry,[status(thm)],[6968])).
% 0.84/1.02 tff(6970,assumption,(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.02 tff(6971,plain,
% 0.84/1.02 (e_1852 = e_1853),
% 0.84/1.02 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6618, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6829, 400, 6895, 381, 6873, 362, 6874, 343, 6970, 6969, 6967, 6965, 6962, 6913, 6865, 6857, 6855, 6911, 6849, 6640, 6763, 6547, 6585, 6546, 6584, 6638, 6580, 6413, 6577, 6361, 6574, 6411, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6554, 6551, 6104, 6328, 6102, 6325, 5686, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 2506, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.84/1.02 tff(6972,plain,
% 0.84/1.02 ($false),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[999, 6971])).
% 0.84/1.02 tff(6973,plain,((~(i15 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.02 tff(6974,plain,
% 0.84/1.02 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[6973, 6867, 1774, 6841, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6637, 6545, 6214, 6639, 6861, 6856, 2904, 6958, 6874, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983])).
% 0.84/1.02 tff(6975,plain,
% 0.84/1.02 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[1633, 6974])).
% 0.84/1.02 tff(6976,plain,
% 0.84/1.02 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6975])).
% 0.84/1.02 tff(6977,plain,
% 0.84/1.02 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.84/1.02 inference(monotonicity,[status(thm)],[6398])).
% 0.84/1.02 tff(6978,plain,
% 0.84/1.02 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6977])).
% 0.84/1.02 tff(6979,plain,
% 0.84/1.02 (store(a_1815, i6, e6) = store(store(a_1814, i13, e13), i6, e6)),
% 0.84/1.02 inference(symmetry,[status(thm)],[1659])).
% 0.84/1.02 tff(6980,plain,
% 0.84/1.02 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.84/1.02 inference(monotonicity,[status(thm)],[6979])).
% 0.84/1.02 tff(6981,plain,
% 0.84/1.02 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6980])).
% 0.84/1.02 tff(6982,plain,
% 0.84/1.02 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[6973, 6867, 1774, 1775, 2501, 2503, 5421, 5118, 5120, 5683, 6317, 6101, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6637, 6545, 6214, 6639, 6861, 6856, 1035, 6970, 6874, 6873, 6895, 6829, 6615, 6616, 6499, 6497, 6495, 6493, 6390, 5757, 6388, 6359, 6491, 6365, 6292, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.84/1.02 tff(6983,plain,
% 0.84/1.02 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.02 inference(unit_resolution,[status(thm)],[1633, 6982])).
% 0.84/1.02 tff(6984,plain,
% 0.84/1.02 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6983])).
% 0.84/1.02 tff(6985,assumption,(select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.02 tff(6986,plain,
% 0.84/1.02 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.84/1.02 inference(symmetry,[status(thm)],[6985])).
% 0.84/1.02 tff(6987,assumption,(i6 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.02 tff(6988,plain,
% 0.84/1.02 (sk(a_1800, a_1850) = i6),
% 0.84/1.02 inference(symmetry,[status(thm)],[6987])).
% 0.84/1.02 tff(6989,plain,
% 0.84/1.02 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), i6)),
% 0.84/1.03 inference(monotonicity,[status(thm)],[6979, 6988])).
% 0.84/1.03 tff(6990,plain,
% 0.84/1.03 (select(store(store(a_1814, i13, e13), i6, e6), i6) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[6989])).
% 0.84/1.03 tff(6991,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1814, i13, e13), i6, e6), i6) = e6)),
% 0.84/1.03 inference(quant_inst,[status(thm)],[])).
% 0.84/1.03 tff(6992,plain,
% 0.84/1.03 (select(store(store(a_1814, i13, e13), i6, e6), i6) = e6),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[6991, 47])).
% 0.84/1.03 tff(6993,plain,
% 0.84/1.03 (e6 = select(store(store(a_1814, i13, e13), i6, e6), i6)),
% 0.84/1.03 inference(symmetry,[status(thm)],[6992])).
% 0.84/1.03 tff(6994,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1754, i5, e5), i6, e6), i6) = e6)),
% 0.84/1.03 inference(quant_inst,[status(thm)],[])).
% 0.84/1.03 tff(6995,plain,
% 0.84/1.03 (select(store(store(a_1754, i5, e5), i6, e6), i6) = e6),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[6994, 47])).
% 0.84/1.03 tff(6996,plain,
% 0.84/1.03 (select(store(store(a_1754, i5, e5), i6, e6), i6) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[147, 6987])).
% 0.84/1.03 tff(6997,plain,
% 0.84/1.03 (select(store(a_1755, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1754, i5, e5), i6, e6), i6)),
% 0.84/1.03 inference(symmetry,[status(thm)],[6996])).
% 0.84/1.03 tff(6998,plain,
% 0.84/1.03 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[160, 17, 6866])).
% 0.84/1.03 tff(6999,plain,
% 0.84/1.03 ((i8 = i6) <=> (i6 = i8)),
% 0.84/1.03 inference(commutativity,[status(thm)],[])).
% 0.84/1.03 tff(7000,plain,
% 0.84/1.03 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i6)),
% 0.84/1.03 inference(monotonicity,[status(thm)],[6988])).
% 0.84/1.03 tff(7001,plain,
% 0.84/1.03 ((i8 = sk(a_1800, a_1850)) <=> (i6 = i8)),
% 0.84/1.03 inference(transitivity,[status(thm)],[7000, 6999])).
% 0.84/1.03 tff(7002,plain,
% 0.84/1.03 ((i6 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7001])).
% 0.84/1.03 tff(7003,plain,
% 0.84/1.03 ((~(i6 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7002])).
% 0.84/1.03 tff(7004,plain,
% 0.84/1.03 ((~(i6 = i8)) <=> (~(i6 = i8))),
% 0.84/1.03 inference(rewrite,[status(thm)],[])).
% 0.84/1.03 tff(7005,axiom,(~(i6 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1091')).
% 0.84/1.03 tff(7006,plain,
% 0.84/1.03 (~(i6 = i8)),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7005, 7004])).
% 0.84/1.03 tff(7007,plain,
% 0.84/1.03 (~(i8 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7006, 7003])).
% 0.84/1.03 tff(7008,plain,
% 0.84/1.03 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[3350, 7007])).
% 0.84/1.03 tff(7009,plain,
% 0.84/1.03 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[198, 17, 6860])).
% 0.84/1.03 tff(7010,plain,
% 0.84/1.03 ((i13 = i6) <=> (i6 = i13)),
% 0.84/1.03 inference(commutativity,[status(thm)],[])).
% 0.84/1.03 tff(7011,plain,
% 0.84/1.03 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i6)),
% 0.84/1.03 inference(monotonicity,[status(thm)],[6988])).
% 0.84/1.03 tff(7012,plain,
% 0.84/1.03 ((i13 = sk(a_1800, a_1850)) <=> (i6 = i13)),
% 0.84/1.03 inference(transitivity,[status(thm)],[7011, 7010])).
% 0.84/1.03 tff(7013,plain,
% 0.84/1.03 ((i6 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7012])).
% 0.84/1.03 tff(7014,plain,
% 0.84/1.03 ((~(i6 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7013])).
% 0.84/1.03 tff(7015,plain,
% 0.84/1.03 ((~(i6 = i13)) <=> (~(i6 = i13))),
% 0.84/1.03 inference(rewrite,[status(thm)],[])).
% 0.84/1.03 tff(7016,axiom,(~(i6 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1086')).
% 0.84/1.03 tff(7017,plain,
% 0.84/1.03 (~(i6 = i13)),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 0.84/1.03 tff(7018,plain,
% 0.84/1.03 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7017, 7014])).
% 0.84/1.03 tff(7019,plain,
% 0.84/1.03 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[3290, 7018])).
% 0.84/1.03 tff(7020,plain,
% 0.84/1.03 ((i6 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.84/1.03 inference(monotonicity,[status(thm)],[6987])).
% 0.84/1.03 tff(7021,plain,
% 0.84/1.03 ((i6 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(transitivity,[status(thm)],[7020, 287])).
% 0.84/1.03 tff(7022,plain,
% 0.84/1.03 ((~(i6 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7021])).
% 0.84/1.03 tff(7023,plain,
% 0.84/1.03 ((~(i6 = i14)) <=> (~(i6 = i14))),
% 0.84/1.03 inference(rewrite,[status(thm)],[])).
% 0.84/1.03 tff(7024,axiom,(~(i6 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1085')).
% 0.84/1.03 tff(7025,plain,
% 0.84/1.03 (~(i6 = i14)),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 0.84/1.03 tff(7026,plain,
% 0.84/1.03 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7025, 7022])).
% 0.84/1.03 tff(7027,plain,
% 0.84/1.03 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[3278, 7026])).
% 0.84/1.03 tff(7028,plain,
% 0.84/1.03 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[3266, 6982])).
% 0.84/1.03 tff(7029,plain,
% 0.84/1.03 (e_1852 = e_1853),
% 0.84/1.03 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6830, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6829, 400, 6895, 381, 6873, 362, 6874, 343, 6970, 324, 7028, 305, 7027, 286, 7019, 267, 5672, 244, 6779, 225, 6778, 206, 7009, 187, 7008, 168, 6998, 6997, 6995, 6993, 6990, 6986, 6978, 6984, 6871, 6868, 6865, 6857, 6855, 6862, 6849, 6640, 6763, 6547, 6585, 6546, 6584, 6638, 6580, 6413, 6577, 6361, 6574, 6357, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6762, 6551, 6104, 6328, 6102, 6325, 6318, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 5422, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.84/1.03 tff(7030,plain,
% 0.84/1.03 ($false),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[999, 7029])).
% 0.84/1.03 tff(7031,plain,((~(i6 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))) | (~(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i7 = sk(a_1800, a_1850)) | (i9 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.03 tff(7032,plain,
% 0.84/1.03 (~(i6 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[7031, 6669, 1774, 6841, 2501, 5816, 5118, 5824, 5683, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6360, 6412, 6637, 6545, 6214, 6639, 6856, 2904, 6958, 6874, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 6866, 6860, 6286, 6355, 254])).
% 0.84/1.03 tff(7033,plain,
% 0.84/1.03 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[1671, 7032])).
% 0.84/1.03 tff(7034,plain,
% 0.84/1.03 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7033])).
% 0.84/1.03 tff(7035,plain,
% 0.84/1.03 (store(a_1814, i13, e13) = store(store(a_1813, i14, e14), i13, e13)),
% 0.84/1.03 inference(symmetry,[status(thm)],[1678])).
% 0.84/1.03 tff(7036,plain,
% 0.84/1.03 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7035])).
% 0.84/1.03 tff(7037,plain,
% 0.84/1.03 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7036])).
% 0.84/1.03 tff(7038,plain,
% 0.84/1.03 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[6973, 6912, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6410, 6360, 6412, 6637, 6545, 6214, 6639, 6910, 6856, 1035, 6970, 6874, 6873, 6895, 6829, 6615, 6616, 6499, 6497, 6495, 6493, 6390, 5757, 6388, 6359, 6491, 6365, 6292, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.84/1.03 tff(7039,plain,
% 0.84/1.03 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[1633, 7038])).
% 0.84/1.03 tff(7040,plain,
% 0.84/1.03 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7039])).
% 0.84/1.03 tff(7041,assumption,(select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.03 tff(7042,plain,
% 0.84/1.03 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7041])).
% 0.84/1.03 tff(7043,assumption,(i13 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.03 tff(7044,plain,
% 0.84/1.03 (sk(a_1800, a_1850) = i13),
% 0.84/1.03 inference(symmetry,[status(thm)],[7043])).
% 0.84/1.03 tff(7045,plain,
% 0.84/1.03 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), i13)),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7035, 7044])).
% 0.84/1.03 tff(7046,plain,
% 0.84/1.03 (select(store(store(a_1813, i14, e14), i13, e13), i13) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7045])).
% 0.84/1.03 tff(7047,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1813, i14, e14), i13, e13), i13) = e13)),
% 0.84/1.03 inference(quant_inst,[status(thm)],[])).
% 0.84/1.03 tff(7048,plain,
% 0.84/1.03 (select(store(store(a_1813, i14, e14), i13, e13), i13) = e13),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[7047, 47])).
% 0.84/1.03 tff(7049,plain,
% 0.84/1.03 (e13 = select(store(store(a_1813, i14, e14), i13, e13), i13)),
% 0.84/1.03 inference(symmetry,[status(thm)],[7048])).
% 0.84/1.03 tff(7050,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1761, i12, e12), i13, e13), i13) = e13)),
% 0.84/1.03 inference(quant_inst,[status(thm)],[])).
% 0.84/1.03 tff(7051,plain,
% 0.84/1.03 (select(store(store(a_1761, i12, e12), i13, e13), i13) = e13),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[7050, 47])).
% 0.84/1.03 tff(7052,plain,
% 0.84/1.03 (select(store(store(a_1761, i12, e12), i13, e13), i13) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[284, 7043])).
% 0.84/1.03 tff(7053,plain,
% 0.84/1.03 (select(store(a_1762, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1761, i12, e12), i13, e13), i13)),
% 0.84/1.03 inference(symmetry,[status(thm)],[7052])).
% 0.84/1.03 tff(7054,assumption,(i14 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.03 tff(7055,plain,
% 0.84/1.03 ((i13 = i14) <=> (i13 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7054])).
% 0.84/1.03 tff(7056,plain,
% 0.84/1.03 ((~(i13 = i14)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[7055])).
% 0.84/1.03 tff(7057,plain,
% 0.84/1.03 ((~(i13 = i14)) <=> (~(i13 = i14))),
% 0.84/1.03 inference(rewrite,[status(thm)],[])).
% 0.84/1.03 tff(7058,axiom,(~(i13 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp805')).
% 0.84/1.03 tff(7059,plain,
% 0.84/1.03 (~(i13 = i14)),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7058, 7057])).
% 0.84/1.03 tff(7060,plain,
% 0.84/1.03 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.03 inference(modus_ponens,[status(thm)],[7059, 7056])).
% 0.84/1.03 tff(7061,plain,
% 0.84/1.03 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[6618])).
% 0.84/1.03 tff(7062,plain,
% 0.84/1.03 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[6617])).
% 0.84/1.03 tff(7063,plain,
% 0.84/1.03 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[6970])).
% 0.84/1.03 tff(7064,plain,
% 0.84/1.03 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[3266, 7038])).
% 0.84/1.03 tff(7065,plain,
% 0.84/1.03 (select(store(a_1763, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.03 inference(symmetry,[status(thm)],[7064])).
% 0.84/1.03 tff(7066,plain,
% 0.84/1.03 (select(store(store(a_1762, i13, e13), i14, e14), i14) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.03 inference(monotonicity,[status(thm)],[303, 7054])).
% 0.84/1.03 tff(7067,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1762, i13, e13), i14, e14), i14) = e14)),
% 0.84/1.03 inference(quant_inst,[status(thm)],[])).
% 0.84/1.03 tff(7068,plain,
% 0.84/1.03 (select(store(store(a_1762, i13, e13), i14, e14), i14) = e14),
% 0.84/1.03 inference(unit_resolution,[status(thm)],[7067, 47])).
% 0.84/1.03 tff(7069,plain,
% 0.84/1.03 (e14 = select(store(store(a_1762, i13, e13), i14, e14), i14)),
% 0.84/1.03 inference(symmetry,[status(thm)],[7068])).
% 0.84/1.03 tff(7070,plain,
% 0.84/1.03 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1812, i49, e49), i14, e14), i14) = e14)),
% 0.84/1.04 inference(quant_inst,[status(thm)],[])).
% 0.84/1.04 tff(7071,plain,
% 0.84/1.04 (select(store(store(a_1812, i49, e49), i14, e14), i14) = e14),
% 0.84/1.04 inference(unit_resolution,[status(thm)],[7070, 47])).
% 0.84/1.04 tff(7072,plain,
% 0.84/1.04 (sk(a_1800, a_1850) = i14),
% 0.84/1.04 inference(symmetry,[status(thm)],[7054])).
% 0.84/1.04 tff(7073,plain,
% 0.84/1.04 (store(a_1813, i14, e14) = store(store(a_1812, i49, e49), i14, e14)),
% 0.84/1.04 inference(symmetry,[status(thm)],[1697])).
% 0.84/1.04 tff(7074,plain,
% 0.84/1.04 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), i14)),
% 0.84/1.04 inference(monotonicity,[status(thm)],[7073, 7072])).
% 0.84/1.04 tff(7075,plain,
% 0.84/1.04 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = e_1852),
% 0.84/1.04 inference(transitivity,[status(thm)],[7074, 7071, 7069, 7066, 7065, 323, 7063, 342, 6898, 361, 6897, 380, 6896, 399, 6894, 418, 6893, 437, 6892, 456, 6500, 475, 7062, 493, 6498, 512, 6496, 531, 6494, 550, 6391, 569, 5758, 592, 6389, 611, 2284, 630, 6387, 649, 6492, 668, 6385, 687, 7061, 706, 6381, 725, 6180, 744, 5716, 767, 6380, 786, 5442, 809, 5441, 828, 5439, 847, 2521, 866, 2519, 885, 2370, 904, 2369, 923, 2119, 942, 2118, 961, 1798, 981, 1797, 994, 5])).
% 0.84/1.04 tff(7076,plain,
% 0.84/1.04 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = e_1853),
% 0.84/1.04 inference(transitivity,[status(thm)],[1679, 7042, 1660, 6986, 1641, 7040, 1622, 6913, 1603, 6857, 1584, 6911, 1565, 6640, 1546, 6547, 1527, 6546, 1508, 6638, 1489, 6413, 1470, 6361, 1451, 6411, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6554, 1299, 6104, 1288, 6102, 1269, 5686, 1250, 5428, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2355, 1079, 1998, 1060, 1997, 1042, 1036, 1034, 26])).
% 0.84/1.04 tff(7077,plain,
% 0.84/1.04 ((select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.84/1.04 inference(monotonicity,[status(thm)],[7076, 7075])).
% 0.84/1.04 tff(7078,plain,
% 0.84/1.04 ((select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.84/1.04 inference(transitivity,[status(thm)],[7077, 1])).
% 0.84/1.04 tff(7079,plain,
% 0.84/1.04 ((e_1852 = e_1853) <=> (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850)))),
% 0.84/1.04 inference(symmetry,[status(thm)],[7078])).
% 0.84/1.04 tff(7080,plain,
% 0.84/1.04 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))))),
% 0.84/1.04 inference(monotonicity,[status(thm)],[7079])).
% 0.84/1.04 tff(7081,plain,
% 0.84/1.04 (~(select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850)))),
% 0.84/1.04 inference(modus_ponens,[status(thm)],[999, 7080])).
% 0.84/1.04 tff(7082,plain,
% 0.84/1.04 ($false),
% 0.84/1.04 inference(unit_resolution,[status(thm)],[1690, 7081, 7060])).
% 0.84/1.04 tff(7083,plain,((~(i14 = sk(a_1800, a_1850))) | (~(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850)))) | (~(select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))) | (~(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.04 tff(7084,plain,
% 0.84/1.04 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.04 inference(unit_resolution,[status(thm)],[7083, 6970, 6874, 6873, 6895, 6829, 6615, 6616, 6499, 6497, 6495, 6493, 6390, 5757, 6388, 6359, 6491, 6365, 6292, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983, 7041, 6985, 6912, 6856, 6910, 6639, 6214, 6545, 6637, 6412, 6360, 6410, 6274, 6288, 6289, 6408, 6406, 6290, 6103, 6101, 5685, 5683, 5120, 5118, 2505, 2503, 2501, 1775, 1774, 1035])).
% 0.84/1.04 tff(7085,plain,
% 0.84/1.04 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.04 inference(unit_resolution,[status(thm)],[3278, 7084])).
% 0.84/1.04 tff(7086,plain,
% 0.84/1.04 (e_1852 = e_1853),
% 0.84/1.04 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6618, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6829, 400, 6895, 381, 6873, 362, 6874, 343, 6970, 324, 7064, 305, 7085, 7053, 7051, 7049, 7046, 7042, 6981, 6986, 6978, 7040, 6871, 6913, 6865, 6857, 6855, 6911, 6849, 6640, 6763, 6547, 6585, 6546, 6584, 6638, 6580, 6413, 6577, 6361, 6574, 6411, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6554, 6551, 6104, 6328, 6102, 6325, 5686, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 2506, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.84/1.04 tff(7087,plain,
% 0.84/1.04 ($false),
% 0.84/1.04 inference(unit_resolution,[status(thm)],[999, 7086])).
% 0.84/1.04 tff(7088,plain,((~(i13 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))) | (~(select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850)))) | (~(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.05 tff(7089,plain,
% 0.84/1.05 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[7088, 6867, 1774, 6841, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6637, 6545, 6214, 6639, 6861, 6856, 2904, 6669, 7033, 6958, 6874, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983])).
% 0.84/1.05 tff(7090,plain,
% 0.84/1.05 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[1690, 7089])).
% 0.84/1.05 tff(7091,plain,
% 0.84/1.05 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7090])).
% 0.84/1.05 tff(7092,plain,
% 0.84/1.05 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(monotonicity,[status(thm)],[7073])).
% 0.84/1.05 tff(7093,plain,
% 0.84/1.05 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7092])).
% 0.84/1.05 tff(7094,plain,
% 0.84/1.05 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[7083, 6958, 6874, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983, 7033, 6669, 6867, 6856, 6861, 6639, 6214, 6545, 6637, 6412, 6360, 6356, 6274, 6288, 6289, 6408, 6406, 6290, 6103, 6319, 6317, 5683, 5824, 5118, 5421, 5816, 2501, 6841, 1774, 2904])).
% 0.84/1.05 tff(7095,plain,
% 0.84/1.05 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[1707, 17, 7094])).
% 0.84/1.05 tff(7096,plain,
% 0.84/1.05 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7095])).
% 0.84/1.05 tff(7097,plain,
% 0.84/1.05 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850))),
% 0.84/1.05 inference(monotonicity,[status(thm)],[1029])).
% 0.84/1.05 tff(7098,plain,
% 0.84/1.05 (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7097])).
% 0.84/1.05 tff(7099,plain,
% 0.84/1.05 (store(a_1811, i8, e8) = store(store(a_1810, i16, e16), i8, e8)),
% 0.84/1.05 inference(symmetry,[status(thm)],[3680])).
% 0.84/1.05 tff(7100,plain,
% 0.84/1.05 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.84/1.05 inference(monotonicity,[status(thm)],[7099])).
% 0.84/1.05 tff(7101,plain,
% 0.84/1.05 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7100])).
% 0.84/1.05 tff(7102,plain,
% 0.84/1.05 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[7088, 6912, 1774, 1775, 2501, 2503, 2505, 5118, 5120, 5683, 5685, 6101, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6410, 6360, 6412, 6637, 6545, 6214, 6639, 6910, 6856, 1035, 6985, 7041, 6970, 6874, 6873, 6895, 6829, 6615, 6616, 6499, 6497, 6495, 6493, 6390, 5757, 6388, 6359, 6491, 6365, 6292, 6140, 4760, 6095, 4769, 5440, 5438, 2520, 2518, 1764, 1776, 1756, 1740, 983])).
% 0.84/1.05 tff(7103,plain,
% 0.84/1.05 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[1690, 7102])).
% 0.84/1.05 tff(7104,plain,
% 0.84/1.05 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7103])).
% 0.84/1.05 tff(7105,plain,
% 0.84/1.05 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[1707, 17, 7084])).
% 0.84/1.05 tff(7106,plain,
% 0.84/1.05 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7105])).
% 0.84/1.05 tff(7107,assumption,(select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.05 tff(7108,plain,
% 0.84/1.05 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7107])).
% 0.84/1.05 tff(7109,assumption,(i8 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.84/1.05 tff(7110,plain,
% 0.84/1.05 (sk(a_1800, a_1850) = i8),
% 0.84/1.05 inference(symmetry,[status(thm)],[7109])).
% 0.84/1.05 tff(7111,plain,
% 0.84/1.05 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), i8)),
% 0.84/1.05 inference(monotonicity,[status(thm)],[7099, 7110])).
% 0.84/1.05 tff(7112,plain,
% 0.84/1.05 (select(store(store(a_1810, i16, e16), i8, e8), i8) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.84/1.05 inference(symmetry,[status(thm)],[7111])).
% 0.84/1.05 tff(7113,plain,
% 0.84/1.05 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1810, i16, e16), i8, e8), i8) = e8)),
% 0.84/1.05 inference(quant_inst,[status(thm)],[])).
% 0.84/1.05 tff(7114,plain,
% 0.84/1.05 (select(store(store(a_1810, i16, e16), i8, e8), i8) = e8),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[7113, 47])).
% 0.84/1.05 tff(7115,plain,
% 0.84/1.05 (e8 = select(store(store(a_1810, i16, e16), i8, e8), i8)),
% 0.84/1.05 inference(symmetry,[status(thm)],[7114])).
% 0.84/1.05 tff(7116,plain,
% 0.84/1.05 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1756, i7, e7), i8, e8), i8) = e8)),
% 0.84/1.05 inference(quant_inst,[status(thm)],[])).
% 0.84/1.05 tff(7117,plain,
% 0.84/1.05 (select(store(store(a_1756, i7, e7), i8, e8), i8) = e8),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[7116, 47])).
% 0.84/1.05 tff(7118,plain,
% 0.84/1.05 (select(store(store(a_1756, i7, e7), i8, e8), i8) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.84/1.05 inference(monotonicity,[status(thm)],[185, 7109])).
% 0.84/1.05 tff(7119,plain,
% 0.84/1.05 (select(store(a_1757, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1756, i7, e7), i8, e8), i8)),
% 0.84/1.05 inference(symmetry,[status(thm)],[7118])).
% 0.84/1.05 tff(7120,assumption,(select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.05 tff(7121,assumption,(select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.05 tff(7122,assumption,(select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.05 tff(7123,assumption,(select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))), introduced(assumption)).
% 0.84/1.05 tff(7124,plain,
% 0.84/1.05 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[3290, 7102])).
% 0.84/1.05 tff(7125,plain,
% 0.84/1.05 (e_1852 = e_1853),
% 0.84/1.05 inference(transitivity,[status(thm)],[4, 995, 983, 982, 1740, 962, 2117, 943, 1756, 924, 1776, 905, 1764, 886, 2518, 867, 2520, 848, 5438, 829, 5440, 810, 4769, 787, 6095, 768, 4760, 745, 6140, 726, 6292, 707, 6618, 688, 6365, 669, 6491, 650, 6359, 631, 2283, 612, 6388, 593, 5757, 570, 6390, 551, 6493, 532, 6495, 513, 6497, 494, 6617, 476, 6499, 457, 6616, 438, 6615, 419, 6829, 400, 6895, 381, 6873, 362, 6874, 343, 6970, 324, 7064, 305, 7085, 286, 7124, 267, 7123, 244, 7122, 225, 7121, 206, 7120, 7119, 7117, 7115, 7112, 7108, 7098, 7106, 7093, 7104, 7037, 7042, 6981, 6986, 6978, 7040, 6871, 6913, 6865, 6857, 6855, 6911, 6849, 6640, 6763, 6547, 6585, 6546, 6584, 6638, 6580, 6413, 6577, 6361, 6574, 6411, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6554, 6551, 6104, 6328, 6102, 6325, 5686, 5833, 5428, 5830, 5684, 5828, 5121, 5823, 5119, 5820, 2506, 4604, 2504, 3853, 2502, 3390, 2356, 2928, 2355, 2920, 1998, 2916, 1997, 2908, 1036, 2902, 26])).
% 0.84/1.05 tff(7126,plain,
% 0.84/1.05 ($false),
% 0.84/1.05 inference(unit_resolution,[status(thm)],[999, 7125])).
% 0.84/1.05 tff(7127,plain,((~(i8 = sk(a_1800, a_1850))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850)))) | (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850)))) | (~(select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850)))) | (~(select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850)))) | (~(select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850)))) | (~(select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850)))) | (~(select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850)) = select(store(a_1797, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.06 tff(7128,plain,
% 0.84/1.06 (~(i8 = sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[7127, 6867, 1774, 6841, 2501, 5816, 5421, 5118, 5824, 5683, 6317, 6319, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6356, 6360, 6412, 6637, 6545, 6214, 6639, 6861, 6856, 2904, 6669, 7033, 6698, 7009, 6778, 6779, 5672, 6958, 6874, 6873, 6872, 6851, 6615, 6549, 6499, 6497, 6495, 6541, 6369, 5757, 6367, 6359, 6491, 6365, 6292, 6140, 4760, 5814, 6323, 6322, 5438, 4101, 2518, 6321, 1776, 1756, 6278, 983])).
% 0.84/1.06 tff(7129,plain,
% 0.84/1.06 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3692, 7128])).
% 0.84/1.06 tff(7130,plain,
% 0.84/1.06 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7129])).
% 0.84/1.06 tff(7131,plain,
% 0.84/1.06 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[6905])).
% 0.84/1.06 tff(7132,plain,
% 0.84/1.06 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7131])).
% 0.84/1.06 tff(7133,plain,
% 0.84/1.06 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3710, 17, 6957])).
% 0.84/1.06 tff(7134,plain,
% 0.84/1.06 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7133])).
% 0.84/1.06 tff(7135,plain,
% 0.84/1.06 (store(a_1809, i40, e40) = store(store(a_1808, i20, e20), i40, e40)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3718])).
% 0.84/1.06 tff(7136,plain,
% 0.84/1.06 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7135])).
% 0.84/1.06 tff(7137,plain,
% 0.84/1.06 (select(store(store(a_1808, i20, e20), i40, e40), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7136])).
% 0.84/1.06 tff(7138,plain,
% 0.84/1.06 (store(a_1808, i20, e20) = store(store(a_1807, i39, e39), i20, e20)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3737])).
% 0.84/1.06 tff(7139,plain,
% 0.84/1.06 (select(store(a_1808, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7138])).
% 0.84/1.06 tff(7140,plain,
% 0.84/1.06 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1808, i20, e20), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7139])).
% 0.84/1.06 tff(7141,plain,
% 0.84/1.06 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3748, 17, 6850])).
% 0.84/1.06 tff(7142,plain,
% 0.84/1.06 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7141])).
% 0.84/1.06 tff(7143,plain,
% 0.84/1.06 (store(a_1807, i39, e39) = store(store(a_1806, i22, e22), i39, e39)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3756])).
% 0.84/1.06 tff(7144,plain,
% 0.84/1.06 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7143])).
% 0.84/1.06 tff(7145,plain,
% 0.84/1.06 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7144])).
% 0.84/1.06 tff(7146,plain,
% 0.84/1.06 (select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3767, 17, 5813])).
% 0.84/1.06 tff(7147,plain,
% 0.84/1.06 (select(store(a_1806, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1806, i22, e22), i39, e39), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7146])).
% 0.84/1.06 tff(7148,plain,
% 0.84/1.06 (store(a_1806, i22, e22) = store(store(a_1805, i19, e19), i22, e22)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3775])).
% 0.84/1.06 tff(7149,plain,
% 0.84/1.06 (select(store(a_1806, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7148])).
% 0.84/1.06 tff(7150,plain,
% 0.84/1.06 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7149])).
% 0.84/1.06 tff(7151,plain,
% 0.84/1.06 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3786, 17, 6548])).
% 0.84/1.06 tff(7152,plain,
% 0.84/1.06 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7151])).
% 0.84/1.06 tff(7153,plain,
% 0.84/1.06 (store(a_1805, i19, e19) = store(store(a_1804, i28, e28), i19, e19)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3794])).
% 0.84/1.06 tff(7154,plain,
% 0.84/1.06 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7153])).
% 0.84/1.06 tff(7155,plain,
% 0.84/1.06 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7154])).
% 0.84/1.06 tff(7156,plain,
% 0.84/1.06 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3805, 17, 6858])).
% 0.84/1.06 tff(7157,plain,
% 0.84/1.06 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7156])).
% 0.84/1.06 tff(7158,plain,
% 0.84/1.06 (store(a_1804, i28, e28) = store(store(a_1803, i43, e43), i28, e28)),
% 0.84/1.06 inference(symmetry,[status(thm)],[3813])).
% 0.84/1.06 tff(7159,plain,
% 0.84/1.06 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7158])).
% 0.84/1.06 tff(7160,plain,
% 0.84/1.06 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7159])).
% 0.84/1.06 tff(7161,plain,
% 0.84/1.06 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3824, 17, 6368])).
% 0.84/1.06 tff(7162,plain,
% 0.84/1.06 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7161])).
% 0.84/1.06 tff(7163,plain,
% 0.84/1.06 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[4823])).
% 0.84/1.06 tff(7164,plain,
% 0.84/1.06 (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7163])).
% 0.84/1.06 tff(7165,plain,
% 0.84/1.06 (select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3842, 17, 4100])).
% 0.84/1.06 tff(7166,plain,
% 0.84/1.06 (select(store(a_1802, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1802, i45, e45), i43, e43), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7165])).
% 0.84/1.06 tff(7167,plain,
% 0.84/1.06 (select(store(a_1802, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[3415])).
% 0.84/1.06 tff(7168,plain,
% 0.84/1.06 (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1802, i45, e45), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7167])).
% 0.84/1.06 tff(7169,plain,
% 0.84/1.06 (select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[5383, 17, 6276])).
% 0.84/1.06 tff(7170,plain,
% 0.84/1.06 (select(store(a_1801, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1801, i30, e30), i45, e45), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7169])).
% 0.84/1.06 tff(7171,plain,
% 0.84/1.06 (store(a_1801, i30, e30) = store(store(a1, i41, e41), i30, e30)),
% 0.84/1.06 inference(symmetry,[status(thm)],[5390])).
% 0.84/1.06 tff(7172,plain,
% 0.84/1.06 (select(store(a_1801, i30, e30), sk(a_1800, a_1850)) = select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850))),
% 0.84/1.06 inference(monotonicity,[status(thm)],[7171])).
% 0.84/1.06 tff(7173,plain,
% 0.84/1.06 (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7172])).
% 0.84/1.06 tff(7174,plain,
% 0.84/1.06 (select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[5400, 17, 6358])).
% 0.84/1.06 tff(7175,plain,
% 0.84/1.06 (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(store(store(a1, i41, e41), i30, e30), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7174])).
% 0.84/1.06 tff(7176,plain,
% 0.84/1.06 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i41 = sk(a_1800, a_1850)) | (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i41 = sk(a_1800, a_1850)) | (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))),
% 0.84/1.06 inference(rewrite,[status(thm)],[])).
% 0.84/1.06 tff(7177,plain,
% 0.84/1.06 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i41 = sk(a_1800, a_1850)) | (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))),
% 0.84/1.06 inference(quant_inst,[status(thm)],[])).
% 0.84/1.06 tff(7178,plain,
% 0.84/1.06 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i41 = sk(a_1800, a_1850)) | (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850)))),
% 0.84/1.06 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 0.84/1.06 tff(7179,plain,
% 0.84/1.06 (select(store(a1, i41, e41), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[7178, 17, 6285])).
% 0.84/1.06 tff(7180,plain,
% 0.84/1.06 (select(a1, sk(a_1800, a_1850)) = select(store(a1, i41, e41), sk(a_1800, a_1850))),
% 0.84/1.06 inference(symmetry,[status(thm)],[7179])).
% 0.84/1.06 tff(7181,plain,
% 0.84/1.06 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1800, a_1850)) | (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1800, a_1850)) | (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))),
% 0.84/1.06 inference(rewrite,[status(thm)],[])).
% 0.84/1.06 tff(7182,plain,
% 0.84/1.06 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i1 = sk(a_1800, a_1850)) | (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))))),
% 0.84/1.06 inference(quant_inst,[status(thm)],[])).
% 0.84/1.06 tff(7183,plain,
% 0.84/1.06 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i1 = sk(a_1800, a_1850)) | (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850)))),
% 0.84/1.06 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 0.84/1.06 tff(7184,plain,
% 0.84/1.06 (select(store(a1, i1, e1), sk(a_1800, a_1850)) = select(a1, sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[7183, 17, 2903])).
% 0.84/1.06 tff(7185,plain,
% 0.84/1.06 (select(store(store(a1, i1, e1), i2, e2), sk(a_1800, a_1850)) = select(store(a1, i1, e1), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[65, 17, 6275])).
% 0.84/1.06 tff(7186,plain,
% 0.84/1.06 (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[103, 17, 6840])).
% 0.84/1.06 tff(7187,plain,
% 0.84/1.06 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[141, 17, 7032])).
% 0.84/1.06 tff(7188,plain,
% 0.84/1.06 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3350, 7128])).
% 0.84/1.06 tff(7189,plain,
% 0.84/1.06 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3290, 7089])).
% 0.84/1.06 tff(7190,plain,
% 0.84/1.06 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3278, 7094])).
% 0.84/1.06 tff(7191,plain,
% 0.84/1.06 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[3266, 6974])).
% 0.84/1.06 tff(7192,plain,
% 0.84/1.06 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[486, 17, 6837])).
% 0.84/1.06 tff(7193,plain,
% 0.84/1.06 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[623, 17, 6307])).
% 0.84/1.06 tff(7194,plain,
% 0.84/1.06 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[1960, 6843])).
% 0.84/1.06 tff(7195,plain,
% 0.84/1.06 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[1806, 6314])).
% 0.84/1.06 tff(7196,plain,
% 0.84/1.06 (e_1852 = e_1853),
% 0.84/1.06 inference(transitivity,[status(thm)],[4, 995, 983, 982, 6278, 962, 7195, 943, 1756, 924, 1776, 905, 6321, 886, 2518, 867, 4101, 848, 5438, 829, 6322, 810, 6323, 787, 5814, 768, 4760, 745, 6140, 726, 6292, 707, 7194, 688, 6365, 669, 6491, 650, 6359, 631, 7193, 612, 6367, 593, 5757, 570, 6369, 551, 6541, 532, 6495, 513, 6497, 494, 7192, 476, 6499, 457, 6549, 438, 6615, 419, 6851, 400, 6872, 381, 6873, 362, 6874, 343, 6958, 324, 7191, 305, 7190, 286, 7189, 267, 5672, 244, 6779, 225, 6778, 206, 7009, 187, 7188, 168, 6998, 149, 7187, 130, 5851, 111, 7186, 92, 5849, 73, 7185, 7184, 7180, 7175, 7173, 7170, 7168, 7166, 7164, 7162, 7160, 7157, 7155, 7152, 7150, 7147, 7145, 7142, 7140, 6719, 7137, 7134, 7132, 7130, 7101, 6699, 7098, 7096, 7093, 7091, 7037, 7034, 6981, 6670, 6978, 6976, 6871, 6868, 6865, 6857, 6855, 6862, 6849, 6640, 6763, 6547, 6585, 6546, 6584, 6638, 6580, 6413, 6577, 6361, 6574, 6357, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6845, 6551, 6104, 6328, 6320, 6325, 6318, 5833, 6316, 5830, 5684, 5828, 5825, 5823, 5119, 5820, 5422, 4604, 5817, 3853, 2502, 3390, 6842, 2928, 6839, 2920, 1998, 2916, 6309, 2908, 2905, 2902, 26])).
% 0.84/1.06 tff(7197,plain,
% 0.84/1.06 ($false),
% 0.84/1.06 inference(unit_resolution,[status(thm)],[999, 7196])).
% 0.84/1.06 tff(7198,plain,((i7 = sk(a_1800, a_1850)) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850)))) | (~(select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i28 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i19 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i22 = sk(a_1800, a_1850)) | (i4 = sk(a_1800, a_1850)) | (i39 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i20 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i9 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i27 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.07 tff(7199,plain,
% 0.84/1.07 (i7 = sk(a_1800, a_1850)),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[7198, 6859, 2501, 5118, 5683, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6360, 6412, 6582, 6545, 6214, 6847, 6856, 1774, 6596, 6615, 6499, 6497, 6495, 5757, 6359, 6491, 6365, 6292, 6140, 4760, 5438, 2518, 1776, 1756, 983, 6285, 6358, 6276, 4100, 2903, 6368, 6275, 6858, 3855, 6548, 6840, 5813, 5815, 6850, 797, 6852, 6286, 6355, 6277, 254, 6540])).
% 0.84/1.07 tff(7200,plain,
% 0.84/1.07 (sk(a_1800, a_1850) = i7),
% 0.84/1.07 inference(symmetry,[status(thm)],[7199])).
% 0.84/1.07 tff(7201,plain,
% 0.84/1.07 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), i7)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[6863, 7200])).
% 0.84/1.07 tff(7202,plain,
% 0.84/1.07 (select(store(store(a_1817, i15, e15), i7, e7), i7) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7201])).
% 0.84/1.07 tff(7203,plain,
% 0.84/1.07 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1817, i15, e15), i7, e7), i7) = e7)),
% 0.84/1.07 inference(quant_inst,[status(thm)],[])).
% 0.84/1.07 tff(7204,plain,
% 0.84/1.07 (select(store(store(a_1817, i15, e15), i7, e7), i7) = e7),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[7203, 47])).
% 0.84/1.07 tff(7205,plain,
% 0.84/1.07 (e7 = select(store(store(a_1817, i15, e15), i7, e7), i7)),
% 0.84/1.07 inference(symmetry,[status(thm)],[7204])).
% 0.84/1.07 tff(7206,plain,
% 0.84/1.07 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1755, i6, e6), i7, e7), i7) = e7)),
% 0.84/1.07 inference(quant_inst,[status(thm)],[])).
% 0.84/1.07 tff(7207,plain,
% 0.84/1.07 (select(store(store(a_1755, i6, e6), i7, e7), i7) = e7),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[7206, 47])).
% 0.84/1.07 tff(7208,plain,
% 0.84/1.07 (select(store(store(a_1755, i6, e6), i7, e7), i7) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[166, 7199])).
% 0.84/1.07 tff(7209,plain,
% 0.84/1.07 (select(store(a_1756, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1755, i6, e6), i7, e7), i7)),
% 0.84/1.07 inference(symmetry,[status(thm)],[7208])).
% 0.84/1.07 tff(7210,plain,
% 0.84/1.07 ((i7 = i8) <=> (sk(a_1800, a_1850) = i8)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7199])).
% 0.84/1.07 tff(7211,plain,
% 0.84/1.07 ((i7 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(transitivity,[status(thm)],[7210, 169])).
% 0.84/1.07 tff(7212,plain,
% 0.84/1.07 ((~(i7 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7211])).
% 0.84/1.07 tff(7213,plain,
% 0.84/1.07 ((~(i7 = i8)) <=> (~(i7 = i8))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7214,axiom,(~(i7 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1048')).
% 0.84/1.07 tff(7215,plain,
% 0.84/1.07 (~(i7 = i8)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 0.84/1.07 tff(7216,plain,
% 0.84/1.07 (~(i8 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7215, 7212])).
% 0.84/1.07 tff(7217,plain,
% 0.84/1.07 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[179, 17, 7216])).
% 0.84/1.07 tff(7218,plain,
% 0.84/1.07 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[198, 17, 6852])).
% 0.84/1.07 tff(7219,plain,
% 0.84/1.07 ((i7 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7199])).
% 0.84/1.07 tff(7220,plain,
% 0.84/1.07 ((i7 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(transitivity,[status(thm)],[7219, 268])).
% 0.84/1.07 tff(7221,plain,
% 0.84/1.07 ((~(i7 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7220])).
% 0.84/1.07 tff(7222,plain,
% 0.84/1.07 ((~(i7 = i13)) <=> (~(i7 = i13))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7223,axiom,(~(i7 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1043')).
% 0.84/1.07 tff(7224,plain,
% 0.84/1.07 (~(i7 = i13)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 0.84/1.07 tff(7225,plain,
% 0.84/1.07 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7224, 7221])).
% 0.84/1.07 tff(7226,plain,
% 0.84/1.07 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[278, 17, 7225])).
% 0.84/1.07 tff(7227,plain,
% 0.84/1.07 ((i7 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7199])).
% 0.84/1.07 tff(7228,plain,
% 0.84/1.07 ((i7 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(transitivity,[status(thm)],[7227, 287])).
% 0.84/1.07 tff(7229,plain,
% 0.84/1.07 ((~(i7 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7228])).
% 0.84/1.07 tff(7230,plain,
% 0.84/1.07 ((~(i7 = i14)) <=> (~(i7 = i14))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7231,axiom,(~(i7 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1042')).
% 0.84/1.07 tff(7232,plain,
% 0.84/1.07 (~(i7 = i14)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 0.84/1.07 tff(7233,plain,
% 0.84/1.07 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7232, 7229])).
% 0.84/1.07 tff(7234,plain,
% 0.84/1.07 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[297, 17, 7233])).
% 0.84/1.07 tff(7235,plain,
% 0.84/1.07 ((i7 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7199])).
% 0.84/1.07 tff(7236,plain,
% 0.84/1.07 ((i7 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(transitivity,[status(thm)],[7235, 306])).
% 0.84/1.07 tff(7237,plain,
% 0.84/1.07 ((~(i7 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7236])).
% 0.84/1.07 tff(7238,plain,
% 0.84/1.07 ((~(i7 = i15)) <=> (~(i7 = i15))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7239,axiom,(~(i7 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1041')).
% 0.84/1.07 tff(7240,plain,
% 0.84/1.07 (~(i7 = i15)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 0.84/1.07 tff(7241,plain,
% 0.84/1.07 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7240, 7237])).
% 0.84/1.07 tff(7242,plain,
% 0.84/1.07 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[316, 17, 7241])).
% 0.84/1.07 tff(7243,plain,
% 0.84/1.07 ((i7 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7199])).
% 0.84/1.07 tff(7244,plain,
% 0.84/1.07 ((i7 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(transitivity,[status(thm)],[7243, 325])).
% 0.84/1.07 tff(7245,plain,
% 0.84/1.07 ((~(i7 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7244])).
% 0.84/1.07 tff(7246,plain,
% 0.84/1.07 ((~(i7 = i16)) <=> (~(i7 = i16))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7247,axiom,(~(i7 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1040')).
% 0.84/1.07 tff(7248,plain,
% 0.84/1.07 (~(i7 = i16)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 0.84/1.07 tff(7249,plain,
% 0.84/1.07 (~(i16 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7248, 7245])).
% 0.84/1.07 tff(7250,plain,
% 0.84/1.07 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[3254, 7249])).
% 0.84/1.07 tff(7251,plain,
% 0.84/1.07 (e_1852 = e_1853),
% 0.84/1.07 inference(transitivity,[status(thm)],[4, 995, 983, 982, 6278, 962, 7195, 943, 1756, 924, 1776, 905, 6321, 886, 2518, 867, 4101, 848, 5438, 829, 6322, 810, 6323, 787, 5814, 768, 4760, 745, 6140, 726, 6292, 707, 7194, 688, 6365, 669, 6491, 650, 6359, 631, 7193, 612, 6367, 593, 5757, 570, 6369, 551, 6541, 532, 6495, 513, 6497, 494, 7192, 476, 6499, 457, 6549, 438, 6615, 419, 6851, 400, 6872, 381, 6596, 362, 6859, 343, 7250, 324, 7242, 305, 7234, 286, 7226, 267, 5672, 244, 6779, 225, 6778, 206, 7218, 187, 7217, 7209, 7207, 7205, 7202, 6857, 6855, 6854, 6849, 6848, 6763, 6547, 6585, 6546, 6584, 6583, 6580, 6413, 6577, 6361, 6574, 6357, 6571, 6354, 6568, 6353, 6565, 6352, 6564, 6409, 6563, 6407, 6560, 6347, 6557, 6845, 6551, 6104, 6328, 6320, 6325, 6318, 5833, 6316, 5830, 5684, 5828, 5825, 5823, 5119, 5820, 5422, 4604, 5817, 3853, 2502, 3390, 6842, 2928, 6839, 2920, 1998, 2916, 6309, 2908, 2905, 2902, 26])).
% 0.84/1.07 tff(7252,plain,
% 0.84/1.07 ($false),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[999, 7251])).
% 0.84/1.07 tff(7253,plain,((i19 = sk(a_1800, a_1850)) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850)))) | (~(select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(a_1769, i20, e20), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i28 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i22 = sk(a_1800, a_1850)) | (i4 = sk(a_1800, a_1850)) | (i39 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i20 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i27 = sk(a_1800, a_1850)) | (i18 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.84/1.07 tff(7254,plain,
% 0.84/1.07 (i19 = sk(a_1800, a_1850)),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[7253, 6442, 2501, 5118, 5683, 6103, 6290, 6406, 6408, 6289, 6288, 6274, 6360, 6412, 6545, 6214, 2578, 3195, 6499, 6497, 6495, 5757, 6359, 6366, 6365, 6292, 6140, 4760, 5438, 2518, 1776, 1756, 983, 6286, 6355, 254, 6285, 6358, 6276, 4100, 2903, 6368, 6275, 3855, 6548, 6534, 5813, 5815, 6758, 797, 6277, 6540, 6542])).
% 0.84/1.07 tff(7255,plain,
% 0.84/1.07 ((i7 = i19) <=> (i7 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7256,plain,
% 0.84/1.07 ((~(i7 = i19)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7255])).
% 0.84/1.07 tff(7257,plain,
% 0.84/1.07 ((~(i7 = i19)) <=> (~(i7 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7258,axiom,(~(i7 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1037')).
% 0.84/1.07 tff(7259,plain,
% 0.84/1.07 (~(i7 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 0.84/1.07 tff(7260,plain,
% 0.84/1.07 (~(i7 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7259, 7256])).
% 0.84/1.07 tff(7261,plain,
% 0.84/1.07 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[1614, 7260])).
% 0.84/1.07 tff(7262,plain,
% 0.84/1.07 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7261])).
% 0.84/1.07 tff(7263,plain,
% 0.84/1.07 ((i15 = i19) <=> (i15 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7264,plain,
% 0.84/1.07 ((~(i15 = i19)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7263])).
% 0.84/1.07 tff(7265,plain,
% 0.84/1.07 ((~(i15 = i19)) <=> (~(i15 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7266,axiom,(~(i15 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp729')).
% 0.84/1.07 tff(7267,plain,
% 0.84/1.07 (~(i15 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 0.84/1.07 tff(7268,plain,
% 0.84/1.07 (~(i15 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7267, 7264])).
% 0.84/1.07 tff(7269,plain,
% 0.84/1.07 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[1632, 17, 7268])).
% 0.84/1.07 tff(7270,plain,
% 0.84/1.07 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7269])).
% 0.84/1.07 tff(7271,plain,
% 0.84/1.07 ((i6 = i19) <=> (i6 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7272,plain,
% 0.84/1.07 ((~(i6 = i19)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7271])).
% 0.84/1.07 tff(7273,plain,
% 0.84/1.07 ((~(i6 = i19)) <=> (~(i6 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7274,axiom,(~(i6 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1080')).
% 0.84/1.07 tff(7275,plain,
% 0.84/1.07 (~(i6 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 0.84/1.07 tff(7276,plain,
% 0.84/1.07 (~(i6 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7275, 7272])).
% 0.84/1.07 tff(7277,plain,
% 0.84/1.07 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[1670, 17, 7276])).
% 0.84/1.07 tff(7278,plain,
% 0.84/1.07 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7277])).
% 0.84/1.07 tff(7279,plain,
% 0.84/1.07 ((i13 = i19) <=> (i13 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7280,plain,
% 0.84/1.07 ((~(i13 = i19)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7279])).
% 0.84/1.07 tff(7281,plain,
% 0.84/1.07 ((~(i13 = i19)) <=> (~(i13 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7282,axiom,(~(i13 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp800')).
% 0.84/1.07 tff(7283,plain,
% 0.84/1.07 (~(i13 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 0.84/1.07 tff(7284,plain,
% 0.84/1.07 (~(i13 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7283, 7280])).
% 0.84/1.07 tff(7285,plain,
% 0.84/1.07 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[1689, 17, 7284])).
% 0.84/1.07 tff(7286,plain,
% 0.84/1.07 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7285])).
% 0.84/1.07 tff(7287,plain,
% 0.84/1.07 ((i14 = i19) <=> (i14 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7288,plain,
% 0.84/1.07 ((~(i14 = i19)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7287])).
% 0.84/1.07 tff(7289,plain,
% 0.84/1.07 ((~(i14 = i19)) <=> (~(i14 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7290,axiom,(~(i14 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp764')).
% 0.84/1.07 tff(7291,plain,
% 0.84/1.07 (~(i14 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 0.84/1.07 tff(7292,plain,
% 0.84/1.07 (~(i14 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7291, 7288])).
% 0.84/1.07 tff(7293,plain,
% 0.84/1.07 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[1707, 17, 7292])).
% 0.84/1.07 tff(7294,plain,
% 0.84/1.07 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.84/1.07 inference(symmetry,[status(thm)],[7293])).
% 0.84/1.07 tff(7295,plain,
% 0.84/1.07 ((i8 = i19) <=> (i8 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.07 tff(7296,plain,
% 0.84/1.07 ((~(i8 = i19)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.84/1.07 inference(monotonicity,[status(thm)],[7295])).
% 0.84/1.07 tff(7297,plain,
% 0.84/1.07 ((~(i8 = i19)) <=> (~(i8 = i19))),
% 0.84/1.07 inference(rewrite,[status(thm)],[])).
% 0.84/1.07 tff(7298,axiom,(~(i8 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp995')).
% 0.84/1.07 tff(7299,plain,
% 0.84/1.07 (~(i8 = i19)),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 0.84/1.07 tff(7300,plain,
% 0.84/1.07 (~(i8 = sk(a_1800, a_1850))),
% 0.84/1.07 inference(modus_ponens,[status(thm)],[7299, 7296])).
% 0.84/1.07 tff(7301,plain,
% 0.84/1.07 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.84/1.07 inference(unit_resolution,[status(thm)],[3691, 17, 7300])).
% 0.84/1.07 tff(7302,plain,
% 0.84/1.07 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.84/1.08 inference(symmetry,[status(thm)],[7301])).
% 0.84/1.08 tff(7303,plain,
% 0.84/1.08 ((i16 = i19) <=> (i16 = sk(a_1800, a_1850))),
% 0.84/1.08 inference(monotonicity,[status(thm)],[7254])).
% 0.84/1.08 tff(7304,plain,
% 0.84/1.08 ((~(i16 = i19)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.84/1.08 inference(monotonicity,[status(thm)],[7303])).
% 0.84/1.08 tff(7305,plain,
% 0.84/1.08 ((~(i16 = i19)) <=> (~(i16 = i19))),
% 0.84/1.08 inference(rewrite,[status(thm)],[])).
% 0.84/1.08 tff(7306,axiom,(~(i16 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp695')).
% 0.84/1.08 tff(7307,plain,
% 0.84/1.08 (~(i16 = i19)),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 0.84/1.08 tff(7308,plain,
% 0.84/1.08 (~(i16 = sk(a_1800, a_1850))),
% 0.84/1.08 inference(modus_ponens,[status(thm)],[7307, 7304])).
% 0.84/1.08 tff(7309,plain,
% 0.84/1.08 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[3710, 17, 7308])).
% 0.84/1.08 tff(7310,plain,
% 0.84/1.08 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.84/1.08 inference(symmetry,[status(thm)],[7309])).
% 0.84/1.08 tff(7311,plain,
% 0.84/1.08 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[3748, 17, 6758])).
% 0.84/1.08 tff(7312,plain,
% 0.84/1.08 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.84/1.08 inference(symmetry,[status(thm)],[7311])).
% 0.84/1.08 tff(7313,plain,
% 0.84/1.08 (select(store(store(a_1804, i28, e28), i19, e19), i19) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.84/1.08 inference(monotonicity,[status(thm)],[3794, 7254])).
% 0.84/1.08 tff(7314,plain,
% 0.84/1.08 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1804, i28, e28), i19, e19), i19) = e19)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(7315,plain,
% 0.84/1.08 (select(store(store(a_1804, i28, e28), i19, e19), i19) = e19),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[7314, 47])).
% 0.84/1.08 tff(7316,plain,
% 0.84/1.08 (e19 = select(store(store(a_1804, i28, e28), i19, e19), i19)),
% 0.84/1.08 inference(symmetry,[status(thm)],[7315])).
% 0.84/1.08 tff(7317,plain,
% 0.84/1.08 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1767, i18, e18), i19, e19), i19) = e19)),
% 0.84/1.08 inference(quant_inst,[status(thm)],[])).
% 0.84/1.08 tff(7318,plain,
% 0.84/1.08 (select(store(store(a_1767, i18, e18), i19, e19), i19) = e19),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[7317, 47])).
% 0.84/1.08 tff(7319,plain,
% 0.84/1.08 (sk(a_1800, a_1850) = i19),
% 0.84/1.08 inference(symmetry,[status(thm)],[7254])).
% 0.84/1.08 tff(7320,plain,
% 0.84/1.08 (store(a_1768, i19, e19) = store(store(a_1767, i18, e18), i19, e19)),
% 0.84/1.08 inference(symmetry,[status(thm)],[398])).
% 0.84/1.08 tff(7321,plain,
% 0.84/1.08 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), i19)),
% 0.84/1.08 inference(monotonicity,[status(thm)],[7320, 7319])).
% 0.84/1.08 tff(7322,plain,
% 0.84/1.08 (select(store(a_1769, i20, e20), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.84/1.08 inference(monotonicity,[status(thm)],[6726])).
% 0.84/1.08 tff(7323,plain,
% 0.84/1.08 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[486, 17, 6531])).
% 0.84/1.08 tff(7324,plain,
% 0.84/1.08 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[1960, 6537])).
% 0.84/1.08 tff(7325,plain,
% 0.84/1.08 (e_1852 = e_1853),
% 0.84/1.08 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 6278, 2889, 7195, 2887, 1756, 6158, 1776, 6157, 6321, 6155, 2518, 6153, 4101, 6151, 5438, 6149, 6322, 6147, 6323, 6145, 5814, 6143, 4760, 2516, 6140, 6753, 6292, 6752, 7324, 6749, 6365, 6747, 6366, 2367, 6359, 6745, 7193, 6743, 6367, 3992, 5757, 6741, 6369, 6739, 6541, 6737, 6495, 5705, 6497, 6735, 7323, 6733, 6499, 6731, 6549, 6729, 3195, 7322, 6759, 7321, 7318, 7316, 7313, 7152, 3776, 7147, 3757, 7312, 3738, 6719, 3719, 7310, 3700, 7302, 3681, 6699, 3670, 7294, 1698, 7286, 1679, 7278, 1660, 6670, 1641, 7270, 1622, 7262, 1603, 6443, 1584, 6836, 1565, 6624, 1546, 6547, 1527, 6546, 1508, 6544, 1489, 6413, 1470, 6361, 1451, 6357, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6409, 1356, 6407, 1337, 6347, 1318, 6539, 1299, 6104, 1288, 6320, 1269, 6318, 1250, 6316, 1231, 5684, 1212, 5825, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 2502, 1117, 6536, 1098, 6533, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.84/1.08 tff(7326,plain,
% 0.84/1.08 ($false),
% 0.84/1.08 inference(unit_resolution,[status(thm)],[999, 7325])).
% 0.84/1.08 tff(7327,plain,((i22 = sk(a_1800, a_1850)) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850)))) | (~(select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850)))) | (~(select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850)))) | (~(select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i27 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i28 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.08 tff(7328,plain,
% 0.92/1.08 (i22 = sk(a_1800, a_1850)),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[7327, 6463, 6279, 1776, 2518, 5108, 4760, 6140, 6292, 6365, 6359, 5757, 983, 6464, 6465, 5223, 6422, 6363, 6360, 6274, 6288, 6289, 6350, 6348, 6290, 6103, 5683, 5118, 2501, 5813, 797, 6277, 6461, 6286, 6355, 254, 6285, 6358, 6276, 4100, 2903, 6368, 6275, 3855, 5815, 6287, 2577])).
% 0.92/1.08 tff(7329,plain,
% 0.92/1.08 ((i17 = i22) <=> (i17 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7330,plain,
% 0.92/1.08 ((~(i17 = i22)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7329])).
% 0.92/1.08 tff(7331,plain,
% 0.92/1.08 ((~(i17 = i22)) <=> (~(i17 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7332,axiom,(~(i17 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp659')).
% 0.92/1.08 tff(7333,plain,
% 0.92/1.08 (~(i17 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 0.92/1.08 tff(7334,plain,
% 0.92/1.08 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7333, 7330])).
% 0.92/1.08 tff(7335,plain,
% 0.92/1.08 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1557, 7334])).
% 0.92/1.08 tff(7336,plain,
% 0.92/1.08 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7335])).
% 0.92/1.08 tff(7337,plain,
% 0.92/1.08 ((i9 = i22) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7338,plain,
% 0.92/1.08 ((~(i9 = i22)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7337])).
% 0.92/1.08 tff(7339,plain,
% 0.92/1.08 ((~(i9 = i22)) <=> (~(i9 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7340,axiom,(~(i9 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp951')).
% 0.92/1.08 tff(7341,plain,
% 0.92/1.08 (~(i9 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7340, 7339])).
% 0.92/1.08 tff(7342,plain,
% 0.92/1.08 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7341, 7338])).
% 0.92/1.08 tff(7343,plain,
% 0.92/1.08 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1575, 17, 7342])).
% 0.92/1.08 tff(7344,plain,
% 0.92/1.08 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7343])).
% 0.92/1.08 tff(7345,plain,
% 0.92/1.08 ((i7 = i22) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7346,plain,
% 0.92/1.08 ((~(i7 = i22)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7345])).
% 0.92/1.08 tff(7347,plain,
% 0.92/1.08 ((~(i7 = i22)) <=> (~(i7 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7348,axiom,(~(i7 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1034')).
% 0.92/1.08 tff(7349,plain,
% 0.92/1.08 (~(i7 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7348, 7347])).
% 0.92/1.08 tff(7350,plain,
% 0.92/1.08 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7349, 7346])).
% 0.92/1.08 tff(7351,plain,
% 0.92/1.08 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1613, 17, 7350])).
% 0.92/1.08 tff(7352,plain,
% 0.92/1.08 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7351])).
% 0.92/1.08 tff(7353,plain,
% 0.92/1.08 ((i15 = i22) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7354,plain,
% 0.92/1.08 ((~(i15 = i22)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7353])).
% 0.92/1.08 tff(7355,plain,
% 0.92/1.08 ((~(i15 = i22)) <=> (~(i15 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7356,axiom,(~(i15 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp726')).
% 0.92/1.08 tff(7357,plain,
% 0.92/1.08 (~(i15 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 0.92/1.08 tff(7358,plain,
% 0.92/1.08 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7357, 7354])).
% 0.92/1.08 tff(7359,plain,
% 0.92/1.08 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1632, 17, 7358])).
% 0.92/1.08 tff(7360,plain,
% 0.92/1.08 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7359])).
% 0.92/1.08 tff(7361,plain,
% 0.92/1.08 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1651, 17, 6461])).
% 0.92/1.08 tff(7362,plain,
% 0.92/1.08 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7361])).
% 0.92/1.08 tff(7363,plain,
% 0.92/1.08 ((i6 = i22) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7364,plain,
% 0.92/1.08 ((~(i6 = i22)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7363])).
% 0.92/1.08 tff(7365,plain,
% 0.92/1.08 ((~(i6 = i22)) <=> (~(i6 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7366,axiom,(~(i6 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1077')).
% 0.92/1.08 tff(7367,plain,
% 0.92/1.08 (~(i6 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 0.92/1.08 tff(7368,plain,
% 0.92/1.08 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7367, 7364])).
% 0.92/1.08 tff(7369,plain,
% 0.92/1.08 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1670, 17, 7368])).
% 0.92/1.08 tff(7370,plain,
% 0.92/1.08 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7369])).
% 0.92/1.08 tff(7371,plain,
% 0.92/1.08 ((i13 = i22) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7372,plain,
% 0.92/1.08 ((~(i13 = i22)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7371])).
% 0.92/1.08 tff(7373,plain,
% 0.92/1.08 ((~(i13 = i22)) <=> (~(i13 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7374,axiom,(~(i13 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp797')).
% 0.92/1.08 tff(7375,plain,
% 0.92/1.08 (~(i13 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 0.92/1.08 tff(7376,plain,
% 0.92/1.08 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7375, 7372])).
% 0.92/1.08 tff(7377,plain,
% 0.92/1.08 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1689, 17, 7376])).
% 0.92/1.08 tff(7378,plain,
% 0.92/1.08 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7377])).
% 0.92/1.08 tff(7379,plain,
% 0.92/1.08 ((i14 = i22) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7380,plain,
% 0.92/1.08 ((~(i14 = i22)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7379])).
% 0.92/1.08 tff(7381,plain,
% 0.92/1.08 ((~(i14 = i22)) <=> (~(i14 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7382,axiom,(~(i14 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp761')).
% 0.92/1.08 tff(7383,plain,
% 0.92/1.08 (~(i14 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 0.92/1.08 tff(7384,plain,
% 0.92/1.08 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7383, 7380])).
% 0.92/1.08 tff(7385,plain,
% 0.92/1.08 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1707, 17, 7384])).
% 0.92/1.08 tff(7386,plain,
% 0.92/1.08 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7385])).
% 0.92/1.08 tff(7387,plain,
% 0.92/1.08 ((i8 = i22) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7388,plain,
% 0.92/1.08 ((~(i8 = i22)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7387])).
% 0.92/1.08 tff(7389,plain,
% 0.92/1.08 ((~(i8 = i22)) <=> (~(i8 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7390,axiom,(~(i8 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp992')).
% 0.92/1.08 tff(7391,plain,
% 0.92/1.08 (~(i8 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 0.92/1.08 tff(7392,plain,
% 0.92/1.08 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7391, 7388])).
% 0.92/1.08 tff(7393,plain,
% 0.92/1.08 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[3691, 17, 7392])).
% 0.92/1.08 tff(7394,plain,
% 0.92/1.08 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7393])).
% 0.92/1.08 tff(7395,plain,
% 0.92/1.08 ((i16 = i22) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7396,plain,
% 0.92/1.08 ((~(i16 = i22)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7395])).
% 0.92/1.08 tff(7397,plain,
% 0.92/1.08 ((~(i16 = i22)) <=> (~(i16 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7398,axiom,(~(i16 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp692')).
% 0.92/1.08 tff(7399,plain,
% 0.92/1.08 (~(i16 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 0.92/1.08 tff(7400,plain,
% 0.92/1.08 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7399, 7396])).
% 0.92/1.08 tff(7401,plain,
% 0.92/1.08 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[3710, 17, 7400])).
% 0.92/1.08 tff(7402,plain,
% 0.92/1.08 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7401])).
% 0.92/1.08 tff(7403,plain,
% 0.92/1.08 ((i20 = i22) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7328])).
% 0.92/1.08 tff(7404,plain,
% 0.92/1.08 ((~(i20 = i22)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[7403])).
% 0.92/1.08 tff(7405,plain,
% 0.92/1.08 ((~(i20 = i22)) <=> (~(i20 = i22))),
% 0.92/1.08 inference(rewrite,[status(thm)],[])).
% 0.92/1.08 tff(7406,axiom,(~(i20 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp566')).
% 0.92/1.08 tff(7407,plain,
% 0.92/1.08 (~(i20 = i22)),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 0.92/1.08 tff(7408,plain,
% 0.92/1.08 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.08 inference(modus_ponens,[status(thm)],[7407, 7404])).
% 0.92/1.08 tff(7409,plain,
% 0.92/1.08 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[3748, 17, 7408])).
% 0.92/1.08 tff(7410,plain,
% 0.92/1.08 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.92/1.08 inference(symmetry,[status(thm)],[7409])).
% 0.92/1.08 tff(7411,plain,
% 0.92/1.08 (select(store(store(a_1805, i19, e19), i22, e22), i22) = select(store(a_1806, i22, e22), sk(a_1800, a_1850))),
% 0.92/1.08 inference(monotonicity,[status(thm)],[3775, 7328])).
% 0.92/1.08 tff(7412,plain,
% 0.92/1.08 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1805, i19, e19), i22, e22), i22) = e22)),
% 0.92/1.08 inference(quant_inst,[status(thm)],[])).
% 0.92/1.08 tff(7413,plain,
% 0.92/1.08 (select(store(store(a_1805, i19, e19), i22, e22), i22) = e22),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[7412, 47])).
% 0.92/1.08 tff(7414,plain,
% 0.92/1.08 (e22 = select(store(store(a_1805, i19, e19), i22, e22), i22)),
% 0.92/1.08 inference(symmetry,[status(thm)],[7413])).
% 0.92/1.08 tff(7415,plain,
% 0.92/1.08 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1770, i21, e21), i22, e22), i22) = e22)),
% 0.92/1.08 inference(quant_inst,[status(thm)],[])).
% 0.92/1.08 tff(7416,plain,
% 0.92/1.08 (select(store(store(a_1770, i21, e21), i22, e22), i22) = e22),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[7415, 47])).
% 0.92/1.08 tff(7417,plain,
% 0.92/1.08 (sk(a_1800, a_1850) = i22),
% 0.92/1.08 inference(symmetry,[status(thm)],[7328])).
% 0.92/1.08 tff(7418,plain,
% 0.92/1.08 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), i22)),
% 0.92/1.08 inference(monotonicity,[status(thm)],[6730, 7417])).
% 0.92/1.08 tff(7419,plain,
% 0.92/1.08 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[486, 17, 6310])).
% 0.92/1.08 tff(7420,plain,
% 0.92/1.08 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[1960, 6344])).
% 0.92/1.08 tff(7421,plain,
% 0.92/1.08 (e_1852 = e_1853),
% 0.92/1.08 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 6278, 2889, 7195, 2887, 6279, 6158, 1776, 6157, 6321, 6155, 2518, 6153, 4101, 6151, 5108, 6149, 6322, 6147, 6323, 6145, 5814, 6143, 4760, 2516, 6140, 6753, 6292, 6752, 7420, 6749, 6365, 6747, 6366, 2367, 6359, 6745, 7193, 6743, 6367, 3992, 5757, 6741, 6369, 6739, 6462, 6737, 6463, 5705, 6464, 6735, 7419, 6733, 6465, 7418, 7416, 7414, 7411, 7147, 3757, 7410, 3738, 6719, 3719, 7402, 3700, 7394, 3681, 6699, 3670, 7386, 1698, 7378, 1679, 7370, 1660, 7362, 1641, 7360, 1622, 7352, 1603, 6443, 1584, 7344, 1565, 7336, 1546, 5224, 1527, 6423, 1508, 6530, 1489, 6364, 1470, 6361, 1451, 6357, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6351, 1356, 6349, 1337, 6347, 1318, 6346, 1299, 6104, 1288, 6320, 1269, 6318, 1250, 6316, 1231, 5684, 1212, 5825, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 2502, 1117, 6313, 1098, 6312, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.92/1.08 tff(7422,plain,
% 0.92/1.08 ($false),
% 0.92/1.08 inference(unit_resolution,[status(thm)],[999, 7421])).
% 0.92/1.08 tff(7423,plain,((i28 = sk(a_1800, a_1850)) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i26 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.09 tff(7424,plain,
% 0.92/1.09 (i28 = sk(a_1800, a_1850)),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7423, 6362, 1776, 2518, 4760, 6140, 6292, 6365, 6359, 5757, 6360, 6274, 6288, 6289, 6290, 6103, 5683, 5118, 2501, 5813, 797, 6277, 6287, 6286, 6355, 254, 6285, 6358, 6276, 4100, 2903, 6275, 3855, 5815, 2577, 4778, 4388, 5804, 5805, 983])).
% 0.92/1.09 tff(7425,plain,
% 0.92/1.09 ((i18 = i28) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7426,plain,
% 0.92/1.09 ((~(i18 = i28)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7425])).
% 0.92/1.09 tff(7427,plain,
% 0.92/1.09 ((~(i18 = i28)) <=> (~(i18 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7428,axiom,(~(i18 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp621')).
% 0.92/1.09 tff(7429,plain,
% 0.92/1.09 (~(i18 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7428, 7427])).
% 0.92/1.09 tff(7430,plain,
% 0.92/1.09 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7429, 7426])).
% 0.92/1.09 tff(7431,plain,
% 0.92/1.09 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1500, 7430])).
% 0.92/1.09 tff(7432,plain,
% 0.92/1.09 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7431])).
% 0.92/1.09 tff(7433,plain,
% 0.92/1.09 ((i17 = i28) <=> (i17 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7434,plain,
% 0.92/1.09 ((~(i17 = i28)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7433])).
% 0.92/1.09 tff(7435,plain,
% 0.92/1.09 ((~(i17 = i28)) <=> (~(i17 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7436,axiom,(~(i17 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp653')).
% 0.92/1.09 tff(7437,plain,
% 0.92/1.09 (~(i17 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7436, 7435])).
% 0.92/1.09 tff(7438,plain,
% 0.92/1.09 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7437, 7434])).
% 0.92/1.09 tff(7439,plain,
% 0.92/1.09 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1556, 17, 7438])).
% 0.92/1.09 tff(7440,plain,
% 0.92/1.09 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7439])).
% 0.92/1.09 tff(7441,plain,
% 0.92/1.09 ((i9 = i28) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7442,plain,
% 0.92/1.09 ((~(i9 = i28)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7441])).
% 0.92/1.09 tff(7443,plain,
% 0.92/1.09 ((~(i9 = i28)) <=> (~(i9 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7444,axiom,(~(i9 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp945')).
% 0.92/1.09 tff(7445,plain,
% 0.92/1.09 (~(i9 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 0.92/1.09 tff(7446,plain,
% 0.92/1.09 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7445, 7442])).
% 0.92/1.09 tff(7447,plain,
% 0.92/1.09 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1575, 17, 7446])).
% 0.92/1.09 tff(7448,plain,
% 0.92/1.09 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7447])).
% 0.92/1.09 tff(7449,plain,
% 0.92/1.09 ((i7 = i28) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7450,plain,
% 0.92/1.09 ((~(i7 = i28)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7449])).
% 0.92/1.09 tff(7451,plain,
% 0.92/1.09 ((~(i7 = i28)) <=> (~(i7 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7452,axiom,(~(i7 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1028')).
% 0.92/1.09 tff(7453,plain,
% 0.92/1.09 (~(i7 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7452, 7451])).
% 0.92/1.09 tff(7454,plain,
% 0.92/1.09 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7453, 7450])).
% 0.92/1.09 tff(7455,plain,
% 0.92/1.09 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1613, 17, 7454])).
% 0.92/1.09 tff(7456,plain,
% 0.92/1.09 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7455])).
% 0.92/1.09 tff(7457,plain,
% 0.92/1.09 ((i15 = i28) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7458,plain,
% 0.92/1.09 ((~(i15 = i28)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7457])).
% 0.92/1.09 tff(7459,plain,
% 0.92/1.09 ((~(i15 = i28)) <=> (~(i15 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7460,axiom,(~(i15 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp720')).
% 0.92/1.09 tff(7461,plain,
% 0.92/1.09 (~(i15 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 0.92/1.09 tff(7462,plain,
% 0.92/1.09 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7461, 7458])).
% 0.92/1.09 tff(7463,plain,
% 0.92/1.09 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1632, 17, 7462])).
% 0.92/1.09 tff(7464,plain,
% 0.92/1.09 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7463])).
% 0.92/1.09 tff(7465,plain,
% 0.92/1.09 ((i27 = i28) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7466,plain,
% 0.92/1.09 ((~(i27 = i28)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7465])).
% 0.92/1.09 tff(7467,plain,
% 0.92/1.09 ((~(i27 = i28)) <=> (~(i27 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7468,axiom,(~(i27 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp378')).
% 0.92/1.09 tff(7469,plain,
% 0.92/1.09 (~(i27 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7468, 7467])).
% 0.92/1.09 tff(7470,plain,
% 0.92/1.09 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7469, 7466])).
% 0.92/1.09 tff(7471,plain,
% 0.92/1.09 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1651, 17, 7470])).
% 0.92/1.09 tff(7472,plain,
% 0.92/1.09 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7471])).
% 0.92/1.09 tff(7473,plain,
% 0.92/1.09 ((i6 = i28) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7474,plain,
% 0.92/1.09 ((~(i6 = i28)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7473])).
% 0.92/1.09 tff(7475,plain,
% 0.92/1.09 ((~(i6 = i28)) <=> (~(i6 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7476,axiom,(~(i6 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1071')).
% 0.92/1.09 tff(7477,plain,
% 0.92/1.09 (~(i6 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7476, 7475])).
% 0.92/1.09 tff(7478,plain,
% 0.92/1.09 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7477, 7474])).
% 0.92/1.09 tff(7479,plain,
% 0.92/1.09 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1670, 17, 7478])).
% 0.92/1.09 tff(7480,plain,
% 0.92/1.09 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7479])).
% 0.92/1.09 tff(7481,plain,
% 0.92/1.09 ((i13 = i28) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7482,plain,
% 0.92/1.09 ((~(i13 = i28)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7481])).
% 0.92/1.09 tff(7483,plain,
% 0.92/1.09 ((~(i13 = i28)) <=> (~(i13 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7484,axiom,(~(i13 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp791')).
% 0.92/1.09 tff(7485,plain,
% 0.92/1.09 (~(i13 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 0.92/1.09 tff(7486,plain,
% 0.92/1.09 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7485, 7482])).
% 0.92/1.09 tff(7487,plain,
% 0.92/1.09 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1689, 17, 7486])).
% 0.92/1.09 tff(7488,plain,
% 0.92/1.09 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7487])).
% 0.92/1.09 tff(7489,plain,
% 0.92/1.09 ((i14 = i28) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7490,plain,
% 0.92/1.09 ((~(i14 = i28)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7489])).
% 0.92/1.09 tff(7491,plain,
% 0.92/1.09 ((~(i14 = i28)) <=> (~(i14 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7492,axiom,(~(i14 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp755')).
% 0.92/1.09 tff(7493,plain,
% 0.92/1.09 (~(i14 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 0.92/1.09 tff(7494,plain,
% 0.92/1.09 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7493, 7490])).
% 0.92/1.09 tff(7495,plain,
% 0.92/1.09 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[1707, 17, 7494])).
% 0.92/1.09 tff(7496,plain,
% 0.92/1.09 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7495])).
% 0.92/1.09 tff(7497,plain,
% 0.92/1.09 ((i8 = i28) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7498,plain,
% 0.92/1.09 ((~(i8 = i28)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7497])).
% 0.92/1.09 tff(7499,plain,
% 0.92/1.09 ((~(i8 = i28)) <=> (~(i8 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7500,axiom,(~(i8 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp986')).
% 0.92/1.09 tff(7501,plain,
% 0.92/1.09 (~(i8 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 0.92/1.09 tff(7502,plain,
% 0.92/1.09 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7501, 7498])).
% 0.92/1.09 tff(7503,plain,
% 0.92/1.09 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[3691, 17, 7502])).
% 0.92/1.09 tff(7504,plain,
% 0.92/1.09 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7503])).
% 0.92/1.09 tff(7505,plain,
% 0.92/1.09 ((i16 = i28) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7506,plain,
% 0.92/1.09 ((~(i16 = i28)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7505])).
% 0.92/1.09 tff(7507,plain,
% 0.92/1.09 ((~(i16 = i28)) <=> (~(i16 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7508,axiom,(~(i16 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp686')).
% 0.92/1.09 tff(7509,plain,
% 0.92/1.09 (~(i16 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7508, 7507])).
% 0.92/1.09 tff(7510,plain,
% 0.92/1.09 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7509, 7506])).
% 0.92/1.09 tff(7511,plain,
% 0.92/1.09 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[3710, 17, 7510])).
% 0.92/1.09 tff(7512,plain,
% 0.92/1.09 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7511])).
% 0.92/1.09 tff(7513,plain,
% 0.92/1.09 ((i20 = i28) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7514,plain,
% 0.92/1.09 ((~(i20 = i28)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7513])).
% 0.92/1.09 tff(7515,plain,
% 0.92/1.09 ((~(i20 = i28)) <=> (~(i20 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7516,axiom,(~(i20 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp560')).
% 0.92/1.09 tff(7517,plain,
% 0.92/1.09 (~(i20 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7516, 7515])).
% 0.92/1.09 tff(7518,plain,
% 0.92/1.09 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7517, 7514])).
% 0.92/1.09 tff(7519,plain,
% 0.92/1.09 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[3748, 17, 7518])).
% 0.92/1.09 tff(7520,plain,
% 0.92/1.09 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7519])).
% 0.92/1.09 tff(7521,plain,
% 0.92/1.09 ((i22 = i28) <=> (i22 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7522,plain,
% 0.92/1.09 ((~(i22 = i28)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7521])).
% 0.92/1.09 tff(7523,plain,
% 0.92/1.09 ((~(i22 = i28)) <=> (~(i22 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7524,axiom,(~(i22 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp503')).
% 0.92/1.09 tff(7525,plain,
% 0.92/1.09 (~(i22 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 0.92/1.09 tff(7526,plain,
% 0.92/1.09 (~(i22 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7525, 7522])).
% 0.92/1.09 tff(7527,plain,
% 0.92/1.09 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[3786, 17, 7526])).
% 0.92/1.09 tff(7528,plain,
% 0.92/1.09 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7527])).
% 0.92/1.09 tff(7529,plain,
% 0.92/1.09 ((i19 = i28) <=> (i19 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7424])).
% 0.92/1.09 tff(7530,plain,
% 0.92/1.09 ((~(i19 = i28)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7529])).
% 0.92/1.09 tff(7531,plain,
% 0.92/1.09 ((~(i19 = i28)) <=> (~(i19 = i28))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(7532,axiom,(~(i19 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp590')).
% 0.92/1.09 tff(7533,plain,
% 0.92/1.09 (~(i19 = i28)),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7532, 7531])).
% 0.92/1.09 tff(7534,plain,
% 0.92/1.09 (~(i19 = sk(a_1800, a_1850))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[7533, 7530])).
% 0.92/1.09 tff(7535,plain,
% 0.92/1.09 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[3805, 17, 7534])).
% 0.92/1.09 tff(7536,plain,
% 0.92/1.09 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7535])).
% 0.92/1.09 tff(7537,plain,
% 0.92/1.09 (select(store(store(a_1803, i43, e43), i28, e28), i28) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[3813, 7424])).
% 0.92/1.09 tff(7538,plain,
% 0.92/1.09 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1803, i43, e43), i28, e28), i28) = e28)),
% 0.92/1.09 inference(quant_inst,[status(thm)],[])).
% 0.92/1.09 tff(7539,plain,
% 0.92/1.09 (select(store(store(a_1803, i43, e43), i28, e28), i28) = e28),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7538, 47])).
% 0.92/1.09 tff(7540,plain,
% 0.92/1.09 (e28 = select(store(store(a_1803, i43, e43), i28, e28), i28)),
% 0.92/1.09 inference(symmetry,[status(thm)],[7539])).
% 0.92/1.09 tff(7541,plain,
% 0.92/1.09 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1776, i27, e27), i28, e28), i28) = e28)),
% 0.92/1.09 inference(quant_inst,[status(thm)],[])).
% 0.92/1.09 tff(7542,plain,
% 0.92/1.09 (select(store(store(a_1776, i27, e27), i28, e28), i28) = e28),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7541, 47])).
% 0.92/1.09 tff(7543,plain,
% 0.92/1.09 (sk(a_1800, a_1850) = i28),
% 0.92/1.09 inference(symmetry,[status(thm)],[7424])).
% 0.92/1.09 tff(7544,plain,
% 0.92/1.09 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), i28)),
% 0.92/1.09 inference(monotonicity,[status(thm)],[6740, 7543])).
% 0.92/1.09 tff(7545,plain,
% 0.92/1.09 (e_1852 = e_1853),
% 0.92/1.09 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 6278, 2889, 7195, 2887, 6279, 6158, 1776, 6157, 6321, 6155, 2518, 6153, 4101, 6151, 5108, 6149, 6322, 6147, 6323, 6145, 5814, 6143, 4760, 2516, 6140, 6753, 6292, 6752, 7420, 6749, 6365, 6747, 6366, 2367, 6359, 6745, 7193, 6743, 6367, 3992, 5757, 7544, 7542, 7540, 7537, 7536, 3795, 7528, 3776, 7147, 3757, 7520, 3738, 6719, 3719, 7512, 3700, 7504, 3681, 6699, 3670, 7496, 1698, 7488, 1679, 7480, 1660, 7472, 1641, 7464, 1622, 7456, 1603, 6443, 1584, 7448, 1565, 7440, 1546, 5224, 1527, 6423, 1508, 7432, 1489, 6364, 1470, 6361, 1451, 6357, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6351, 1356, 6349, 1337, 6347, 1318, 6346, 1299, 6104, 1288, 6320, 1269, 6318, 1250, 6316, 1231, 5684, 1212, 5825, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 2502, 1117, 6313, 1098, 6312, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.92/1.09 tff(7546,plain,
% 0.92/1.09 ($false),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[999, 7545])).
% 0.92/1.09 tff(7547,plain,((i26 = sk(a_1800, a_1850)) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i11 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.09 tff(7548,plain,
% 0.92/1.09 (i26 = sk(a_1800, a_1850)),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7547, 6245, 1776, 2518, 4760, 6140, 6292, 6184, 6359, 5757, 983, 6274, 6288, 6289, 6290, 6103, 5683, 5118, 2501, 5813, 797, 6277, 6287, 4778, 4388, 6286, 6355, 254, 6285, 6358, 6276, 4100, 2903, 6275, 3855, 5815, 2577, 5804, 5805])).
% 0.92/1.09 tff(7549,plain,
% 0.92/1.09 (select(store(store(a_1824, i18, e18), i26, e26), i26) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.92/1.09 inference(monotonicity,[status(thm)],[1469, 7548])).
% 0.92/1.09 tff(7550,plain,
% 0.92/1.09 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1824, i18, e18), i26, e26), i26) = e26)),
% 0.92/1.09 inference(quant_inst,[status(thm)],[])).
% 0.92/1.09 tff(7551,plain,
% 0.92/1.09 (select(store(store(a_1824, i18, e18), i26, e26), i26) = e26),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7550, 47])).
% 0.92/1.09 tff(7552,plain,
% 0.92/1.09 (e26 = select(store(store(a_1824, i18, e18), i26, e26), i26)),
% 0.92/1.09 inference(symmetry,[status(thm)],[7551])).
% 0.92/1.09 tff(7553,plain,
% 0.92/1.09 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1774, i25, e25), i26, e26), i26) = e26)),
% 0.92/1.09 inference(quant_inst,[status(thm)],[])).
% 0.92/1.09 tff(7554,plain,
% 0.92/1.09 (select(store(store(a_1774, i25, e25), i26, e26), i26) = e26),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[7553, 47])).
% 0.92/1.09 tff(7555,plain,
% 0.92/1.09 (sk(a_1800, a_1850) = i26),
% 0.92/1.09 inference(symmetry,[status(thm)],[7548])).
% 0.92/1.09 tff(7556,plain,
% 0.92/1.09 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), i26)),
% 0.92/1.09 inference(monotonicity,[status(thm)],[7555])).
% 0.92/1.09 tff(7557,plain,
% 0.92/1.09 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = e_1853),
% 0.92/1.09 inference(transitivity,[status(thm)],[6737, 7556, 7554, 7552, 7549, 6246, 1451, 6357, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 6351, 1356, 6349, 1337, 6347, 1318, 6346, 1299, 6104, 1288, 6320, 1269, 6318, 1250, 6316, 1231, 5684, 1212, 5825, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 2502, 1117, 6313, 1098, 6312, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.92/1.09 tff(7558,plain,
% 0.92/1.09 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7195])).
% 0.92/1.09 tff(7559,plain,
% 0.92/1.09 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[6321])).
% 0.92/1.09 tff(7560,plain,
% 0.92/1.09 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[6322])).
% 0.92/1.09 tff(7561,plain,
% 0.92/1.09 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[6323])).
% 0.92/1.09 tff(7562,plain,
% 0.92/1.09 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[5814])).
% 0.92/1.09 tff(7563,plain,
% 0.92/1.09 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.92/1.09 inference(symmetry,[status(thm)],[7420])).
% 0.92/1.10 tff(7564,plain,
% 0.92/1.10 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7193])).
% 0.92/1.10 tff(7565,plain,
% 0.92/1.10 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6367])).
% 0.92/1.10 tff(7566,plain,
% 0.92/1.10 ((i26 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7548])).
% 0.92/1.10 tff(7567,plain,
% 0.92/1.10 ((i26 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(transitivity,[status(thm)],[7566, 552])).
% 0.92/1.10 tff(7568,plain,
% 0.92/1.10 ((~(i26 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7567])).
% 0.92/1.10 tff(7569,plain,
% 0.92/1.10 ((~(i26 = i28)) <=> (~(i26 = i28))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7570,axiom,(~(i26 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp401')).
% 0.92/1.10 tff(7571,plain,
% 0.92/1.10 (~(i26 = i28)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7570, 7569])).
% 0.92/1.10 tff(7572,plain,
% 0.92/1.10 (~(i28 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7571, 7568])).
% 0.92/1.10 tff(7573,plain,
% 0.92/1.10 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[2318, 7572])).
% 0.92/1.10 tff(7574,plain,
% 0.92/1.10 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7573])).
% 0.92/1.10 tff(7575,plain,
% 0.92/1.10 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = e_1852),
% 0.92/1.10 inference(transitivity,[status(thm)],[550, 7574, 569, 5758, 592, 7565, 611, 7564, 630, 6387, 649, 6386, 668, 6185, 687, 7563, 706, 6381, 725, 6180, 744, 5716, 767, 7562, 786, 7561, 809, 7560, 828, 5109, 847, 5800, 866, 2519, 885, 7559, 904, 2369, 923, 6379, 942, 7558, 961, 6884, 981, 1797, 994, 5])).
% 0.92/1.10 tff(7576,plain,
% 0.92/1.10 ((select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7575, 7557])).
% 0.92/1.10 tff(7577,plain,
% 0.92/1.10 ((e_1852 = e_1853) <=> (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7576])).
% 0.92/1.10 tff(7578,plain,
% 0.92/1.10 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7577])).
% 0.92/1.10 tff(7579,plain,
% 0.92/1.10 (~(select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850)))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[999, 7578])).
% 0.92/1.10 tff(7580,plain,
% 0.92/1.10 ((i26 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7548])).
% 0.92/1.10 tff(7581,plain,
% 0.92/1.10 ((i26 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(transitivity,[status(thm)],[7580, 533])).
% 0.92/1.10 tff(7582,plain,
% 0.92/1.10 ((~(i26 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7581])).
% 0.92/1.10 tff(7583,plain,
% 0.92/1.10 ((~(i26 = i27)) <=> (~(i26 = i27))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7584,axiom,(~(i26 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp402')).
% 0.92/1.10 tff(7585,plain,
% 0.92/1.10 (~(i26 = i27)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 0.92/1.10 tff(7586,plain,
% 0.92/1.10 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7585, 7582])).
% 0.92/1.10 tff(7587,plain,
% 0.92/1.10 ($false),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[543, 17, 7586, 7579])).
% 0.92/1.10 tff(7588,plain,((i11 = sk(a_1800, a_1850)) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (~(select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i30 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i34 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.10 tff(7589,plain,
% 0.92/1.10 ($false),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7588, 6306, 6300, 5757, 5812, 6292, 6103, 5683, 5118, 6291, 6290, 6289, 6288, 6140, 4760, 2518, 1776, 983, 5813, 797, 6277, 6287, 4778, 4388, 6286, 254, 6285, 6284, 6276, 4100, 2903, 6275, 3855, 5815, 2577, 5804, 5805, 6274])).
% 0.92/1.10 tff(7590,plain,((~(i17 = sk(a_1800, a_1850))) | (~(select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850)))) | (i34 = sk(a_1800, a_1850)) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.10 tff(7591,plain,
% 0.92/1.10 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7590, 6273, 5812, 5406, 1292, 4099, 3893, 6272, 6271, 6270, 4048, 4598, 3962, 2930, 22, 5813, 797, 2909, 6269, 4594, 2921, 5681, 4791, 5404, 3846, 4100, 2903, 6099, 3855, 4372, 2577, 5804, 5805, 6163])).
% 0.92/1.10 tff(7592,plain,
% 0.92/1.10 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[642, 17, 3848])).
% 0.92/1.10 tff(7593,plain,
% 0.92/1.10 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[4098, 580])).
% 0.92/1.10 tff(7594,plain,
% 0.92/1.10 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[585, 580])).
% 0.92/1.10 tff(7595,plain,
% 0.92/1.10 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7590, 6292, 5812, 7594, 6103, 7593, 5118, 6290, 6289, 6288, 6140, 4760, 2518, 1776, 983, 5813, 797, 6277, 6287, 4778, 4388, 6286, 254, 6285, 6276, 4100, 2903, 6275, 3855, 5815, 2577, 5804, 5805, 6274])).
% 0.92/1.10 tff(7596,assumption,(select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))), introduced(assumption)).
% 0.92/1.10 tff(7597,assumption,(select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))), introduced(assumption)).
% 0.92/1.10 tff(7598,assumption,(i30 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.92/1.10 tff(7599,plain,
% 0.92/1.10 ((i26 = i30) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7598])).
% 0.92/1.10 tff(7600,plain,
% 0.92/1.10 ((~(i26 = i30)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7599])).
% 0.92/1.10 tff(7601,plain,
% 0.92/1.10 ((~(i26 = i30)) <=> (~(i26 = i30))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7602,axiom,(~(i26 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp399')).
% 0.92/1.10 tff(7603,plain,
% 0.92/1.10 (~(i26 = i30)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 0.92/1.10 tff(7604,plain,
% 0.92/1.10 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7603, 7600])).
% 0.92/1.10 tff(7605,plain,
% 0.92/1.10 ((i18 = i30) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7598])).
% 0.92/1.10 tff(7606,plain,
% 0.92/1.10 ((~(i18 = i30)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7605])).
% 0.92/1.10 tff(7607,plain,
% 0.92/1.10 ((~(i18 = i30)) <=> (~(i18 = i30))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7608,axiom,(~(i18 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp619')).
% 0.92/1.10 tff(7609,plain,
% 0.92/1.10 (~(i18 = i30)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 0.92/1.10 tff(7610,plain,
% 0.92/1.10 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7609, 7606])).
% 0.92/1.10 tff(7611,plain,
% 0.92/1.10 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6291])).
% 0.92/1.10 tff(7612,plain,
% 0.92/1.10 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7593])).
% 0.92/1.10 tff(7613,plain,
% 0.92/1.10 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[1260, 17, 6286])).
% 0.92/1.10 tff(7614,plain,
% 0.92/1.10 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7613])).
% 0.92/1.10 tff(7615,plain,
% 0.92/1.10 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7596])).
% 0.92/1.10 tff(7616,plain,
% 0.92/1.10 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[1366, 17, 5804])).
% 0.92/1.10 tff(7617,plain,
% 0.92/1.10 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7616])).
% 0.92/1.10 tff(7618,assumption,(~(i17 = sk(a_1800, a_1850))), introduced(assumption)).
% 0.92/1.10 tff(7619,plain,
% 0.92/1.10 (i11 = sk(a_1800, a_1850)),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7588, 4287, 5812, 6284, 6290, 6103, 7593, 5118, 6291, 6289, 6288, 6292, 6140, 4760, 2518, 1776, 983, 5813, 797, 6277, 6287, 4778, 4388, 6286, 254, 6285, 6358, 6276, 4100, 2903, 6275, 3855, 5815, 2577, 5804, 5805, 6274])).
% 0.92/1.10 tff(7620,plain,
% 0.92/1.10 (select(store(store(a_1826, i34, e34), i11, e11), i11) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[1431, 7619])).
% 0.92/1.10 tff(7621,plain,
% 0.92/1.10 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1826, i34, e34), i11, e11), i11) = e11)),
% 0.92/1.10 inference(quant_inst,[status(thm)],[])).
% 0.92/1.10 tff(7622,plain,
% 0.92/1.10 (select(store(store(a_1826, i34, e34), i11, e11), i11) = e11),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7621, 47])).
% 0.92/1.10 tff(7623,plain,
% 0.92/1.10 (e11 = select(store(store(a_1826, i34, e34), i11, e11), i11)),
% 0.92/1.10 inference(symmetry,[status(thm)],[7622])).
% 0.92/1.10 tff(7624,plain,
% 0.92/1.10 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1759, i10, e10), i11, e11), i11) = e11)),
% 0.92/1.10 inference(quant_inst,[status(thm)],[])).
% 0.92/1.10 tff(7625,plain,
% 0.92/1.10 (select(store(store(a_1759, i10, e10), i11, e11), i11) = e11),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[7624, 47])).
% 0.92/1.10 tff(7626,plain,
% 0.92/1.10 (sk(a_1800, a_1850) = i11),
% 0.92/1.10 inference(symmetry,[status(thm)],[7619])).
% 0.92/1.10 tff(7627,plain,
% 0.92/1.10 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1759, i10, e10), i11, e11), i11)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7626])).
% 0.92/1.10 tff(7628,plain,
% 0.92/1.10 (store(a_1760, i11, e11) = store(store(a_1759, i10, e10), i11, e11)),
% 0.92/1.10 inference(symmetry,[status(thm)],[242])).
% 0.92/1.10 tff(7629,plain,
% 0.92/1.10 (select(store(a_1760, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7628])).
% 0.92/1.10 tff(7630,plain,
% 0.92/1.10 (select(store(a_1760, i11, e11), sk(a_1800, a_1850)) = e_1853),
% 0.92/1.10 inference(transitivity,[status(thm)],[7629, 7627, 7625, 7623, 7620, 6354, 1413, 6353, 1394, 6352, 1375, 7617, 1356, 6349, 1337, 6347, 1318, 7615, 1299, 6104, 1288, 6320, 1269, 7614, 1250, 6316, 1231, 7612, 1212, 3982, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 7611, 1117, 6313, 1098, 6312, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.92/1.10 tff(7631,plain,
% 0.92/1.10 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6280])).
% 0.92/1.10 tff(7632,plain,
% 0.92/1.10 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[4779])).
% 0.92/1.10 tff(7633,plain,
% 0.92/1.10 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7597])).
% 0.92/1.10 tff(7634,plain,
% 0.92/1.10 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6284])).
% 0.92/1.10 tff(7635,plain,
% 0.92/1.10 ((i11 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.10 tff(7636,plain,
% 0.92/1.10 ((i11 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(transitivity,[status(thm)],[7635, 552])).
% 0.92/1.10 tff(7637,plain,
% 0.92/1.10 ((~(i11 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7636])).
% 0.92/1.10 tff(7638,plain,
% 0.92/1.10 ((~(i11 = i28)) <=> (~(i11 = i28))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7639,axiom,(~(i11 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp866')).
% 0.92/1.10 tff(7640,plain,
% 0.92/1.10 (~(i11 = i28)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 0.92/1.10 tff(7641,plain,
% 0.92/1.10 (~(i28 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7640, 7637])).
% 0.92/1.10 tff(7642,plain,
% 0.92/1.10 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[562, 17, 7641])).
% 0.92/1.10 tff(7643,plain,
% 0.92/1.10 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7642])).
% 0.92/1.10 tff(7644,plain,
% 0.92/1.10 ((i11 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.10 tff(7645,plain,
% 0.92/1.10 ((i11 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(transitivity,[status(thm)],[7644, 533])).
% 0.92/1.10 tff(7646,plain,
% 0.92/1.10 ((~(i11 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7645])).
% 0.92/1.10 tff(7647,plain,
% 0.92/1.10 ((~(i11 = i27)) <=> (~(i11 = i27))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7648,axiom,(~(i11 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp867')).
% 0.92/1.10 tff(7649,plain,
% 0.92/1.10 (~(i11 = i27)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 0.92/1.10 tff(7650,plain,
% 0.92/1.10 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7649, 7646])).
% 0.92/1.10 tff(7651,plain,
% 0.92/1.10 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.92/1.10 inference(unit_resolution,[status(thm)],[543, 17, 7650])).
% 0.92/1.10 tff(7652,plain,
% 0.92/1.10 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7651])).
% 0.92/1.10 tff(7653,plain,
% 0.92/1.10 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6463])).
% 0.92/1.10 tff(7654,plain,
% 0.92/1.10 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6464])).
% 0.92/1.10 tff(7655,plain,
% 0.92/1.10 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[7419])).
% 0.92/1.10 tff(7656,plain,
% 0.92/1.10 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.92/1.10 inference(symmetry,[status(thm)],[6465])).
% 0.92/1.10 tff(7657,plain,
% 0.92/1.10 ((i11 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.10 tff(7658,plain,
% 0.92/1.10 ((i11 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.92/1.10 inference(transitivity,[status(thm)],[7657, 439])).
% 0.92/1.10 tff(7659,plain,
% 0.92/1.10 ((~(i11 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.92/1.10 inference(monotonicity,[status(thm)],[7658])).
% 0.92/1.10 tff(7660,plain,
% 0.92/1.10 ((~(i11 = i22)) <=> (~(i11 = i22))),
% 0.92/1.10 inference(rewrite,[status(thm)],[])).
% 0.92/1.10 tff(7661,axiom,(~(i11 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp872')).
% 0.92/1.10 tff(7662,plain,
% 0.92/1.10 (~(i11 = i22)),
% 0.92/1.10 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 0.92/1.10 tff(7663,plain,
% 0.92/1.10 (~(i22 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7662, 7659])).
% 0.92/1.11 tff(7664,plain,
% 0.92/1.11 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[449, 17, 7663])).
% 0.92/1.11 tff(7665,plain,
% 0.92/1.11 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7664])).
% 0.92/1.11 tff(7666,plain,
% 0.92/1.11 ((i11 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7667,plain,
% 0.92/1.11 ((i11 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7666, 401])).
% 0.92/1.11 tff(7668,plain,
% 0.92/1.11 ((~(i11 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7667])).
% 0.92/1.11 tff(7669,plain,
% 0.92/1.11 ((~(i11 = i20)) <=> (~(i11 = i20))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7670,axiom,(~(i11 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp874')).
% 0.92/1.11 tff(7671,plain,
% 0.92/1.11 (~(i11 = i20)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7670, 7669])).
% 0.92/1.11 tff(7672,plain,
% 0.92/1.11 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7671, 7668])).
% 0.92/1.11 tff(7673,plain,
% 0.92/1.11 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[411, 17, 7672])).
% 0.92/1.11 tff(7674,plain,
% 0.92/1.11 (select(store(a_1768, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7673])).
% 0.92/1.11 tff(7675,plain,
% 0.92/1.11 ((i11 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7676,plain,
% 0.92/1.11 ((i11 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7675, 382])).
% 0.92/1.11 tff(7677,plain,
% 0.92/1.11 ((~(i11 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7676])).
% 0.92/1.11 tff(7678,plain,
% 0.92/1.11 ((~(i11 = i19)) <=> (~(i11 = i19))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7679,axiom,(~(i11 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp875')).
% 0.92/1.11 tff(7680,plain,
% 0.92/1.11 (~(i11 = i19)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 0.92/1.11 tff(7681,plain,
% 0.92/1.11 (~(i19 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7680, 7677])).
% 0.92/1.11 tff(7682,plain,
% 0.92/1.11 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[392, 17, 7681])).
% 0.92/1.11 tff(7683,plain,
% 0.92/1.11 (select(store(a_1767, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7682])).
% 0.92/1.11 tff(7684,plain,
% 0.92/1.11 (select(store(a_1766, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[6596])).
% 0.92/1.11 tff(7685,plain,
% 0.92/1.11 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[354, 17, 7618])).
% 0.92/1.11 tff(7686,plain,
% 0.92/1.11 (select(store(a_1765, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7685])).
% 0.92/1.11 tff(7687,plain,
% 0.92/1.11 ((i11 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7688,plain,
% 0.92/1.11 ((i11 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7687, 325])).
% 0.92/1.11 tff(7689,plain,
% 0.92/1.11 ((~(i11 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7688])).
% 0.92/1.11 tff(7690,plain,
% 0.92/1.11 ((~(i11 = i16)) <=> (~(i11 = i16))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7691,axiom,(~(i11 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp878')).
% 0.92/1.11 tff(7692,plain,
% 0.92/1.11 (~(i11 = i16)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7691, 7690])).
% 0.92/1.11 tff(7693,plain,
% 0.92/1.11 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7692, 7689])).
% 0.92/1.11 tff(7694,plain,
% 0.92/1.11 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[335, 17, 7693])).
% 0.92/1.11 tff(7695,plain,
% 0.92/1.11 (select(store(a_1764, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7694])).
% 0.92/1.11 tff(7696,plain,
% 0.92/1.11 ((i11 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7697,plain,
% 0.92/1.11 ((i11 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7696, 306])).
% 0.92/1.11 tff(7698,plain,
% 0.92/1.11 ((~(i11 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7697])).
% 0.92/1.11 tff(7699,plain,
% 0.92/1.11 ((~(i11 = i15)) <=> (~(i11 = i15))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7700,axiom,(~(i11 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp879')).
% 0.92/1.11 tff(7701,plain,
% 0.92/1.11 (~(i11 = i15)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 0.92/1.11 tff(7702,plain,
% 0.92/1.11 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7701, 7698])).
% 0.92/1.11 tff(7703,plain,
% 0.92/1.11 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[316, 17, 7702])).
% 0.92/1.11 tff(7704,plain,
% 0.92/1.11 (select(store(a_1763, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7703])).
% 0.92/1.11 tff(7705,plain,
% 0.92/1.11 ((i11 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7706,plain,
% 0.92/1.11 ((i11 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7705, 287])).
% 0.92/1.11 tff(7707,plain,
% 0.92/1.11 ((~(i11 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7706])).
% 0.92/1.11 tff(7708,plain,
% 0.92/1.11 ((~(i11 = i14)) <=> (~(i11 = i14))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7709,axiom,(~(i11 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp880')).
% 0.92/1.11 tff(7710,plain,
% 0.92/1.11 (~(i11 = i14)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 0.92/1.11 tff(7711,plain,
% 0.92/1.11 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7710, 7707])).
% 0.92/1.11 tff(7712,plain,
% 0.92/1.11 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[297, 17, 7711])).
% 0.92/1.11 tff(7713,plain,
% 0.92/1.11 (select(store(a_1762, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7712])).
% 0.92/1.11 tff(7714,plain,
% 0.92/1.11 ((i11 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7619])).
% 0.92/1.11 tff(7715,plain,
% 0.92/1.11 ((i11 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(transitivity,[status(thm)],[7714, 268])).
% 0.92/1.11 tff(7716,plain,
% 0.92/1.11 ((~(i11 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7715])).
% 0.92/1.11 tff(7717,plain,
% 0.92/1.11 ((~(i11 = i13)) <=> (~(i11 = i13))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7718,axiom,(~(i11 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp881')).
% 0.92/1.11 tff(7719,plain,
% 0.92/1.11 (~(i11 = i13)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7718, 7717])).
% 0.92/1.11 tff(7720,plain,
% 0.92/1.11 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7719, 7716])).
% 0.92/1.11 tff(7721,plain,
% 0.92/1.11 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[278, 17, 7720])).
% 0.92/1.11 tff(7722,plain,
% 0.92/1.11 (select(store(a_1761, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7721])).
% 0.92/1.11 tff(7723,plain,
% 0.92/1.11 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = e_1852),
% 0.92/1.11 inference(transitivity,[status(thm)],[266, 7722, 285, 7713, 304, 7704, 323, 7695, 342, 7686, 361, 7684, 380, 7683, 399, 7674, 418, 3196, 437, 7665, 456, 7656, 475, 7655, 493, 7654, 512, 7653, 531, 7652, 550, 7643, 569, 5517, 592, 7565, 611, 7564, 630, 7634, 649, 6386, 668, 6185, 687, 7633, 706, 6381, 725, 6180, 744, 5716, 767, 7562, 786, 5803, 809, 7560, 828, 7632, 847, 5800, 866, 2519, 885, 7631, 904, 2369, 923, 6379, 942, 7558, 961, 6884, 981, 1797, 994, 5])).
% 0.92/1.11 tff(7724,plain,
% 0.92/1.11 ((select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7723, 7630])).
% 0.92/1.11 tff(7725,plain,
% 0.92/1.11 ((e_1852 = e_1853) <=> (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7724])).
% 0.92/1.11 tff(7726,plain,
% 0.92/1.11 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7725])).
% 0.92/1.11 tff(7727,plain,
% 0.92/1.11 (~(select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850)))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[999, 7726])).
% 0.92/1.11 tff(7728,plain,
% 0.92/1.11 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[259, 254])).
% 0.92/1.11 tff(7729,plain,
% 0.92/1.11 ($false),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[7728, 7727])).
% 0.92/1.11 tff(7730,plain,((i30 = sk(a_1800, a_1850)) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i17 = sk(a_1800, a_1850)) | (i18 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i26 = sk(a_1800, a_1850)) | (i34 = sk(a_1800, a_1850)) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.11 tff(7731,plain,
% 0.92/1.11 (i30 = sk(a_1800, a_1850)),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[7730, 6362, 6288, 6289, 6290, 7596, 6103, 5118, 7597, 6292, 6140, 4760, 2518, 1776, 983, 7618, 6581, 2577, 5804, 5805, 6274, 5812, 5813, 797, 6277, 6287, 4778, 4388, 6286, 254, 6285, 6276, 4100, 2903, 6275, 3855, 5815, 580])).
% 0.92/1.11 tff(7732,plain,
% 0.92/1.11 ((i11 = i30) <=> (i11 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7733,plain,
% 0.92/1.11 ((~(i11 = i30)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7732])).
% 0.92/1.11 tff(7734,plain,
% 0.92/1.11 ((~(i11 = i30)) <=> (~(i11 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7735,axiom,(~(i11 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp864')).
% 0.92/1.11 tff(7736,plain,
% 0.92/1.11 (~(i11 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 0.92/1.11 tff(7737,plain,
% 0.92/1.11 (~(i11 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7736, 7733])).
% 0.92/1.11 tff(7738,plain,
% 0.92/1.11 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1443, 7737])).
% 0.92/1.11 tff(7739,plain,
% 0.92/1.11 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7738])).
% 0.92/1.11 tff(7740,plain,
% 0.92/1.11 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1480, 17, 6362])).
% 0.92/1.11 tff(7741,plain,
% 0.92/1.11 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7740])).
% 0.92/1.11 tff(7742,plain,
% 0.92/1.11 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1499, 17, 6581])).
% 0.92/1.11 tff(7743,plain,
% 0.92/1.11 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7742])).
% 0.92/1.11 tff(7744,plain,
% 0.92/1.11 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[4390, 4388])).
% 0.92/1.11 tff(7745,plain,
% 0.92/1.11 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7744])).
% 0.92/1.11 tff(7746,plain,
% 0.92/1.11 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1538, 4778])).
% 0.92/1.11 tff(7747,plain,
% 0.92/1.11 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7746])).
% 0.92/1.11 tff(7748,plain,
% 0.92/1.11 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1557, 7618])).
% 0.92/1.11 tff(7749,plain,
% 0.92/1.11 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7748])).
% 0.92/1.11 tff(7750,plain,
% 0.92/1.11 ((i9 = i30) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7751,plain,
% 0.92/1.11 ((~(i9 = i30)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7750])).
% 0.92/1.11 tff(7752,plain,
% 0.92/1.11 ((~(i9 = i30)) <=> (~(i9 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7753,axiom,(~(i9 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp943')).
% 0.92/1.11 tff(7754,plain,
% 0.92/1.11 (~(i9 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 0.92/1.11 tff(7755,plain,
% 0.92/1.11 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7754, 7751])).
% 0.92/1.11 tff(7756,plain,
% 0.92/1.11 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1576, 7755])).
% 0.92/1.11 tff(7757,plain,
% 0.92/1.11 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7756])).
% 0.92/1.11 tff(7758,plain,
% 0.92/1.11 ((i7 = i30) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7759,plain,
% 0.92/1.11 ((~(i7 = i30)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7758])).
% 0.92/1.11 tff(7760,plain,
% 0.92/1.11 ((~(i7 = i30)) <=> (~(i7 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7761,axiom,(~(i7 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1026')).
% 0.92/1.11 tff(7762,plain,
% 0.92/1.11 (~(i7 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 0.92/1.11 tff(7763,plain,
% 0.92/1.11 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7762, 7759])).
% 0.92/1.11 tff(7764,plain,
% 0.92/1.11 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1613, 17, 7763])).
% 0.92/1.11 tff(7765,plain,
% 0.92/1.11 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7764])).
% 0.92/1.11 tff(7766,plain,
% 0.92/1.11 ((i15 = i30) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7767,plain,
% 0.92/1.11 ((~(i15 = i30)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7766])).
% 0.92/1.11 tff(7768,plain,
% 0.92/1.11 ((~(i15 = i30)) <=> (~(i15 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7769,axiom,(~(i15 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp718')).
% 0.92/1.11 tff(7770,plain,
% 0.92/1.11 (~(i15 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 0.92/1.11 tff(7771,plain,
% 0.92/1.11 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7770, 7767])).
% 0.92/1.11 tff(7772,plain,
% 0.92/1.11 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1632, 17, 7771])).
% 0.92/1.11 tff(7773,plain,
% 0.92/1.11 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7772])).
% 0.92/1.11 tff(7774,plain,
% 0.92/1.11 ((i27 = i30) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7775,plain,
% 0.92/1.11 ((~(i27 = i30)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7774])).
% 0.92/1.11 tff(7776,plain,
% 0.92/1.11 ((~(i27 = i30)) <=> (~(i27 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7777,axiom,(~(i27 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp376')).
% 0.92/1.11 tff(7778,plain,
% 0.92/1.11 (~(i27 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7777, 7776])).
% 0.92/1.11 tff(7779,plain,
% 0.92/1.11 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7778, 7775])).
% 0.92/1.11 tff(7780,plain,
% 0.92/1.11 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1651, 17, 7779])).
% 0.92/1.11 tff(7781,plain,
% 0.92/1.11 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7780])).
% 0.92/1.11 tff(7782,plain,
% 0.92/1.11 ((i6 = i30) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7783,plain,
% 0.92/1.11 ((~(i6 = i30)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7782])).
% 0.92/1.11 tff(7784,plain,
% 0.92/1.11 ((~(i6 = i30)) <=> (~(i6 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7785,axiom,(~(i6 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1069')).
% 0.92/1.11 tff(7786,plain,
% 0.92/1.11 (~(i6 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7785, 7784])).
% 0.92/1.11 tff(7787,plain,
% 0.92/1.11 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7786, 7783])).
% 0.92/1.11 tff(7788,plain,
% 0.92/1.11 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1670, 17, 7787])).
% 0.92/1.11 tff(7789,plain,
% 0.92/1.11 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7788])).
% 0.92/1.11 tff(7790,plain,
% 0.92/1.11 ((i13 = i30) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7791,plain,
% 0.92/1.11 ((~(i13 = i30)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7790])).
% 0.92/1.11 tff(7792,plain,
% 0.92/1.11 ((~(i13 = i30)) <=> (~(i13 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7793,axiom,(~(i13 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp789')).
% 0.92/1.11 tff(7794,plain,
% 0.92/1.11 (~(i13 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7793, 7792])).
% 0.92/1.11 tff(7795,plain,
% 0.92/1.11 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7794, 7791])).
% 0.92/1.11 tff(7796,plain,
% 0.92/1.11 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1689, 17, 7795])).
% 0.92/1.11 tff(7797,plain,
% 0.92/1.11 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7796])).
% 0.92/1.11 tff(7798,plain,
% 0.92/1.11 ((i14 = i30) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7799,plain,
% 0.92/1.11 ((~(i14 = i30)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7798])).
% 0.92/1.11 tff(7800,plain,
% 0.92/1.11 ((~(i14 = i30)) <=> (~(i14 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7801,axiom,(~(i14 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp753')).
% 0.92/1.11 tff(7802,plain,
% 0.92/1.11 (~(i14 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7801, 7800])).
% 0.92/1.11 tff(7803,plain,
% 0.92/1.11 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7802, 7799])).
% 0.92/1.11 tff(7804,plain,
% 0.92/1.11 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[1707, 17, 7803])).
% 0.92/1.11 tff(7805,plain,
% 0.92/1.11 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7804])).
% 0.92/1.11 tff(7806,plain,
% 0.92/1.11 ((i8 = i30) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7807,plain,
% 0.92/1.11 ((~(i8 = i30)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7806])).
% 0.92/1.11 tff(7808,plain,
% 0.92/1.11 ((~(i8 = i30)) <=> (~(i8 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7809,axiom,(~(i8 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp984')).
% 0.92/1.11 tff(7810,plain,
% 0.92/1.11 (~(i8 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7809, 7808])).
% 0.92/1.11 tff(7811,plain,
% 0.92/1.11 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7810, 7807])).
% 0.92/1.11 tff(7812,plain,
% 0.92/1.11 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[3691, 17, 7811])).
% 0.92/1.11 tff(7813,plain,
% 0.92/1.11 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7812])).
% 0.92/1.11 tff(7814,plain,
% 0.92/1.11 ((i16 = i30) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7815,plain,
% 0.92/1.11 ((~(i16 = i30)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7814])).
% 0.92/1.11 tff(7816,plain,
% 0.92/1.11 ((~(i16 = i30)) <=> (~(i16 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7817,axiom,(~(i16 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp684')).
% 0.92/1.11 tff(7818,plain,
% 0.92/1.11 (~(i16 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7817, 7816])).
% 0.92/1.11 tff(7819,plain,
% 0.92/1.11 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7818, 7815])).
% 0.92/1.11 tff(7820,plain,
% 0.92/1.11 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[3710, 17, 7819])).
% 0.92/1.11 tff(7821,plain,
% 0.92/1.11 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7820])).
% 0.92/1.11 tff(7822,plain,
% 0.92/1.11 ((i20 = i30) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7823,plain,
% 0.92/1.11 ((~(i20 = i30)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7822])).
% 0.92/1.11 tff(7824,plain,
% 0.92/1.11 ((~(i20 = i30)) <=> (~(i20 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7825,axiom,(~(i20 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp558')).
% 0.92/1.11 tff(7826,plain,
% 0.92/1.11 (~(i20 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 0.92/1.11 tff(7827,plain,
% 0.92/1.11 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7826, 7823])).
% 0.92/1.11 tff(7828,plain,
% 0.92/1.11 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.11 inference(unit_resolution,[status(thm)],[3748, 17, 7827])).
% 0.92/1.11 tff(7829,plain,
% 0.92/1.11 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.92/1.11 inference(symmetry,[status(thm)],[7828])).
% 0.92/1.11 tff(7830,plain,
% 0.92/1.11 ((i22 = i30) <=> (i22 = sk(a_1800, a_1850))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.11 tff(7831,plain,
% 0.92/1.11 ((~(i22 = i30)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.92/1.11 inference(monotonicity,[status(thm)],[7830])).
% 0.92/1.11 tff(7832,plain,
% 0.92/1.11 ((~(i22 = i30)) <=> (~(i22 = i30))),
% 0.92/1.11 inference(rewrite,[status(thm)],[])).
% 0.92/1.11 tff(7833,axiom,(~(i22 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp501')).
% 0.92/1.11 tff(7834,plain,
% 0.92/1.11 (~(i22 = i30)),
% 0.92/1.11 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 0.92/1.12 tff(7835,plain,
% 0.92/1.12 (~(i22 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7834, 7831])).
% 0.92/1.12 tff(7836,plain,
% 0.92/1.12 (select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850)) = select(store(a_1805, i19, e19), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[3786, 17, 7835])).
% 0.92/1.12 tff(7837,plain,
% 0.92/1.12 (select(store(a_1805, i19, e19), sk(a_1800, a_1850)) = select(store(store(a_1805, i19, e19), i22, e22), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7836])).
% 0.92/1.12 tff(7838,plain,
% 0.92/1.12 ((i19 = i30) <=> (i19 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.12 tff(7839,plain,
% 0.92/1.12 ((~(i19 = i30)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7838])).
% 0.92/1.12 tff(7840,plain,
% 0.92/1.12 ((~(i19 = i30)) <=> (~(i19 = i30))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7841,axiom,(~(i19 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp588')).
% 0.92/1.12 tff(7842,plain,
% 0.92/1.12 (~(i19 = i30)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7841, 7840])).
% 0.92/1.12 tff(7843,plain,
% 0.92/1.12 (~(i19 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7842, 7839])).
% 0.92/1.12 tff(7844,plain,
% 0.92/1.12 (select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850)) = select(store(a_1804, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[3805, 17, 7843])).
% 0.92/1.12 tff(7845,plain,
% 0.92/1.12 (select(store(a_1804, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1804, i28, e28), i19, e19), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7844])).
% 0.92/1.12 tff(7846,plain,
% 0.92/1.12 ((i28 = i30) <=> (i28 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7731])).
% 0.92/1.12 tff(7847,plain,
% 0.92/1.12 ((~(i28 = i30)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7846])).
% 0.92/1.12 tff(7848,plain,
% 0.92/1.12 ((~(i28 = i30)) <=> (~(i28 = i30))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7849,axiom,(~(i28 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp354')).
% 0.92/1.12 tff(7850,plain,
% 0.92/1.12 (~(i28 = i30)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 0.92/1.12 tff(7851,plain,
% 0.92/1.12 (~(i28 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7850, 7847])).
% 0.92/1.12 tff(7852,plain,
% 0.92/1.12 (select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850)) = select(store(a_1803, i43, e43), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[3824, 17, 7851])).
% 0.92/1.12 tff(7853,plain,
% 0.92/1.12 (select(store(a_1803, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1803, i43, e43), i28, e28), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7852])).
% 0.92/1.12 tff(7854,plain,
% 0.92/1.12 (select(store(store(a1, i41, e41), i30, e30), i30) = select(store(a_1801, i30, e30), sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[5390, 7731])).
% 0.92/1.12 tff(7855,plain,
% 0.92/1.12 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i41, e41), i30, e30), i30) = e30)),
% 0.92/1.12 inference(quant_inst,[status(thm)],[])).
% 0.92/1.12 tff(7856,plain,
% 0.92/1.12 (select(store(store(a1, i41, e41), i30, e30), i30) = e30),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7855, 47])).
% 0.92/1.12 tff(7857,plain,
% 0.92/1.12 (e30 = select(store(store(a1, i41, e41), i30, e30), i30)),
% 0.92/1.12 inference(symmetry,[status(thm)],[7856])).
% 0.92/1.12 tff(7858,plain,
% 0.92/1.12 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1778, i29, e29), i30, e30), i30) = e30)),
% 0.92/1.12 inference(quant_inst,[status(thm)],[])).
% 0.92/1.12 tff(7859,plain,
% 0.92/1.12 (select(store(store(a_1778, i29, e29), i30, e30), i30) = e30),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7858, 47])).
% 0.92/1.12 tff(7860,plain,
% 0.92/1.12 (sk(a_1800, a_1850) = i30),
% 0.92/1.12 inference(symmetry,[status(thm)],[7731])).
% 0.92/1.12 tff(7861,plain,
% 0.92/1.12 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), i30)),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7860])).
% 0.92/1.12 tff(7862,plain,
% 0.92/1.12 (e_1852 = e_1853),
% 0.92/1.12 inference(transitivity,[status(thm)],[4, 2894, 983, 2891, 6278, 2889, 7195, 2887, 6279, 6158, 1776, 6157, 6280, 6155, 2518, 6153, 4101, 6151, 4779, 6149, 6322, 6147, 4596, 6145, 5814, 6143, 4760, 2516, 6140, 6753, 6292, 6752, 7597, 6749, 6184, 6747, 6366, 2367, 6284, 6745, 7193, 6743, 7861, 7859, 7857, 7854, 7170, 5380, 7166, 3833, 7853, 3814, 7845, 3795, 7837, 3776, 7147, 3757, 7829, 3738, 6719, 3719, 7821, 3700, 7813, 3681, 6699, 3670, 7805, 1698, 7797, 1679, 7789, 1660, 7781, 1641, 7773, 1622, 7765, 1603, 6443, 1584, 7757, 1565, 7749, 1546, 7747, 1527, 7745, 1508, 7743, 1489, 7741, 1470, 6246, 1451, 7739, 1432, 6354, 1413, 6353, 1394, 6352, 1375, 7617, 1356, 6349, 1337, 6347, 1318, 7615, 1299, 6104, 1288, 6320, 1269, 7614, 1250, 6316, 1231, 7612, 1212, 3982, 1193, 5119, 1174, 5422, 1155, 5817, 1136, 7611, 1117, 6313, 1098, 6312, 1079, 2917, 1060, 6309, 1042, 2905, 1034, 26])).
% 0.92/1.12 tff(7863,plain,
% 0.92/1.12 ($false),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[999, 7862])).
% 0.92/1.12 tff(7864,plain,((i26 = sk(a_1800, a_1850)) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (i18 = sk(a_1800, a_1850)) | (i33 = sk(a_1800, a_1850)) | (i34 = sk(a_1800, a_1850)) | (i17 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i2 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.12 tff(7865,plain,
% 0.92/1.12 ($false),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7864, 7610, 7604, 1776, 2518, 4760, 6140, 6275, 6292, 7597, 6288, 6289, 6290, 7596, 6103, 5118, 6276, 4100, 5813, 797, 6277, 6274, 6287, 5812, 7595, 2577, 5804, 5805, 4778, 4388, 6286, 254, 6285, 2903, 983, 3855, 5815, 580])).
% 0.92/1.12 tff(7866,plain,((~(i30 = sk(a_1800, a_1850))) | (~(select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850)))) | (~(select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850)))) | (~(select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1785, i36, e36), i37, e37), sk(a_1800, a_1850)) = select(store(a_1785, i36, e36), sk(a_1800, a_1850)))) | (i2 = sk(a_1800, a_1850)) | (~(select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850)))) | (~(select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850)) = select(store(a_1828, i36, e36), sk(a_1800, a_1850)))) | (~(select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850)))) | (~(select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850)))) | (~(select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850)))) | (~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (i45 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i39 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i49 = sk(a_1800, a_1850)) | (~(select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850)))) | (i33 = sk(a_1800, a_1850)) | (i34 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i42 = sk(a_1800, a_1850)) | (i47 = sk(a_1800, a_1850)) | (i10 = sk(a_1800, a_1850)) | (i12 = sk(a_1800, a_1850)) | (i41 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (~(select(store(store(a_1798, i49, e49), i50, e50), sk(a_1800, a_1850)) = select(store(a_1798, i49, e49), sk(a_1800, a_1850)))) | (i3 = sk(a_1800, a_1850)) | (i5 = sk(a_1800, a_1850)) | (i29 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.12 tff(7867,plain,
% 0.92/1.12 (~(i30 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7866, 4048, 3962, 4598, 2930, 6099, 6273, 4059, 6270, 6271, 6272, 3927, 1292, 3893, 3846, 4100, 5813, 797, 2909, 6163, 6269, 5812, 2577, 5804, 5805, 4594, 2921, 5681, 4791, 5404, 2903, 22, 3855, 4372, 4095])).
% 0.92/1.12 tff(7868,plain,
% 0.92/1.12 (i11 = sk(a_1800, a_1850)),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7588, 7867, 5406, 5812, 6273, 1292, 4099, 3893, 3849, 6272, 6271, 6270, 4048, 4598, 3962, 2930, 22, 5813, 797, 2909, 6269, 4594, 2921, 5681, 4791, 5404, 7592, 3846, 4100, 2903, 6099, 3855, 4372, 2577, 5804, 5805, 6163])).
% 0.92/1.12 tff(7869,plain,
% 0.92/1.12 ((i11 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7868])).
% 0.92/1.12 tff(7870,plain,
% 0.92/1.12 ((i11 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(transitivity,[status(thm)],[7869, 514])).
% 0.92/1.12 tff(7871,plain,
% 0.92/1.12 ((~(i11 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7870])).
% 0.92/1.12 tff(7872,plain,
% 0.92/1.12 ((~(i11 = i26)) <=> (~(i11 = i26))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7873,axiom,(~(i11 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp868')).
% 0.92/1.12 tff(7874,plain,
% 0.92/1.12 (~(i11 = i26)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 0.92/1.12 tff(7875,plain,
% 0.92/1.12 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7874, 7871])).
% 0.92/1.12 tff(7876,plain,
% 0.92/1.12 ((i11 = i18) <=> (sk(a_1800, a_1850) = i18)),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7868])).
% 0.92/1.12 tff(7877,plain,
% 0.92/1.12 ((i11 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(transitivity,[status(thm)],[7876, 363])).
% 0.92/1.12 tff(7878,plain,
% 0.92/1.12 ((~(i11 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7877])).
% 0.92/1.12 tff(7879,plain,
% 0.92/1.12 ((~(i11 = i18)) <=> (~(i11 = i18))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7880,axiom,(~(i11 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp876')).
% 0.92/1.12 tff(7881,plain,
% 0.92/1.12 (~(i11 = i18)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7880, 7879])).
% 0.92/1.12 tff(7882,plain,
% 0.92/1.12 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7881, 7878])).
% 0.92/1.12 tff(7883,plain,
% 0.92/1.12 ($false),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7864, 7882, 7875, 2930, 3962, 4598, 4048, 6099, 6273, 4059, 6270, 6271, 6272, 3927, 1292, 3893, 3846, 4100, 5813, 797, 2909, 6163, 6269, 5812, 7591, 2577, 5804, 5805, 4594, 2921, 5681, 4791, 5404, 2903, 22, 3855, 4372, 4095])).
% 0.92/1.12 tff(7884,plain,((i39 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i34 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.12 tff(7885,plain,
% 0.92/1.12 (i39 = sk(a_1800, a_1850)),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[7884, 5812, 797, 4100, 2577, 5804, 5805, 2903, 3855, 3854, 11, 2900])).
% 0.92/1.12 tff(7886,plain,
% 0.92/1.12 ((i2 = i39) <=> (i2 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7887,plain,
% 0.92/1.12 ((~(i2 = i39)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7886])).
% 0.92/1.12 tff(7888,plain,
% 0.92/1.12 ((~(i2 = i39)) <=> (~(i2 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7889,axiom,(~(i2 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1242')).
% 0.92/1.12 tff(7890,plain,
% 0.92/1.12 (~(i2 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 0.92/1.12 tff(7891,plain,
% 0.92/1.12 (~(i2 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7890, 7887])).
% 0.92/1.12 tff(7892,plain,
% 0.92/1.12 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1280, 7891])).
% 0.92/1.12 tff(7893,plain,
% 0.92/1.12 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7892])).
% 0.92/1.12 tff(7894,plain,
% 0.92/1.12 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[6272])).
% 0.92/1.12 tff(7895,plain,
% 0.92/1.12 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1347, 17, 5805])).
% 0.92/1.12 tff(7896,plain,
% 0.92/1.12 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7895])).
% 0.92/1.12 tff(7897,plain,
% 0.92/1.12 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[6271])).
% 0.92/1.12 tff(7898,plain,
% 0.92/1.12 (select(store(a_1828, i36, e36), sk(a_1800, a_1850)) = select(store(store(a_1828, i36, e36), i44, e44), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[6270])).
% 0.92/1.12 tff(7899,plain,
% 0.92/1.12 ((i36 = i39) <=> (i36 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7900,plain,
% 0.92/1.12 ((~(i36 = i39)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7899])).
% 0.92/1.12 tff(7901,plain,
% 0.92/1.12 ((~(i36 = i39)) <=> (~(i36 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7902,axiom,(~(i36 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp205')).
% 0.92/1.12 tff(7903,plain,
% 0.92/1.12 (~(i36 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 0.92/1.12 tff(7904,plain,
% 0.92/1.12 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7903, 7900])).
% 0.92/1.12 tff(7905,plain,
% 0.92/1.12 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1423, 17, 7904])).
% 0.92/1.12 tff(7906,plain,
% 0.92/1.12 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7905])).
% 0.92/1.12 tff(7907,plain,
% 0.92/1.12 ((i11 = i39) <=> (i11 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7908,plain,
% 0.92/1.12 ((~(i11 = i39)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7907])).
% 0.92/1.12 tff(7909,plain,
% 0.92/1.12 ((~(i11 = i39)) <=> (~(i11 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7910,axiom,(~(i11 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp855')).
% 0.92/1.12 tff(7911,plain,
% 0.92/1.12 (~(i11 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 0.92/1.12 tff(7912,plain,
% 0.92/1.12 (~(i11 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7911, 7908])).
% 0.92/1.12 tff(7913,plain,
% 0.92/1.12 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1442, 17, 7912])).
% 0.92/1.12 tff(7914,plain,
% 0.92/1.12 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7913])).
% 0.92/1.12 tff(7915,plain,
% 0.92/1.12 ((i26 = i39) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7916,plain,
% 0.92/1.12 ((~(i26 = i39)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7915])).
% 0.92/1.12 tff(7917,plain,
% 0.92/1.12 ((~(i26 = i39)) <=> (~(i26 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7918,axiom,(~(i26 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp390')).
% 0.92/1.12 tff(7919,plain,
% 0.92/1.12 (~(i26 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 0.92/1.12 tff(7920,plain,
% 0.92/1.12 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7919, 7916])).
% 0.92/1.12 tff(7921,plain,
% 0.92/1.12 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1480, 17, 7920])).
% 0.92/1.12 tff(7922,plain,
% 0.92/1.12 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7921])).
% 0.92/1.12 tff(7923,plain,
% 0.92/1.12 ((i18 = i39) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7924,plain,
% 0.92/1.12 ((~(i18 = i39)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7923])).
% 0.92/1.12 tff(7925,plain,
% 0.92/1.12 ((~(i18 = i39)) <=> (~(i18 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7926,axiom,(~(i18 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp610')).
% 0.92/1.12 tff(7927,plain,
% 0.92/1.12 (~(i18 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 0.92/1.12 tff(7928,plain,
% 0.92/1.12 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7927, 7924])).
% 0.92/1.12 tff(7929,plain,
% 0.92/1.12 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1499, 17, 7928])).
% 0.92/1.12 tff(7930,plain,
% 0.92/1.12 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7929])).
% 0.92/1.12 tff(7931,plain,
% 0.92/1.12 (select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850)) = select(store(a_1822, i42, e42), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[4390, 2921])).
% 0.92/1.12 tff(7932,plain,
% 0.92/1.12 (select(store(a_1822, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1822, i42, e42), i47, e47), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7931])).
% 0.92/1.12 tff(7933,plain,
% 0.92/1.12 (select(store(a_1821, i17, e17), sk(a_1800, a_1850)) = select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[6164])).
% 0.92/1.12 tff(7934,plain,
% 0.92/1.12 ((i17 = i39) <=> (i17 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7935,plain,
% 0.92/1.12 ((~(i17 = i39)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7934])).
% 0.92/1.12 tff(7936,plain,
% 0.92/1.12 ((~(i17 = i39)) <=> (~(i17 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7937,axiom,(~(i17 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp642')).
% 0.92/1.12 tff(7938,plain,
% 0.92/1.12 (~(i17 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 0.92/1.12 tff(7939,plain,
% 0.92/1.12 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7938, 7935])).
% 0.92/1.12 tff(7940,plain,
% 0.92/1.12 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1557, 7939])).
% 0.92/1.12 tff(7941,plain,
% 0.92/1.12 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7940])).
% 0.92/1.12 tff(7942,plain,
% 0.92/1.12 ((i9 = i39) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7943,plain,
% 0.92/1.12 ((~(i9 = i39)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7942])).
% 0.92/1.12 tff(7944,plain,
% 0.92/1.12 ((~(i9 = i39)) <=> (~(i9 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7945,axiom,(~(i9 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp934')).
% 0.92/1.12 tff(7946,plain,
% 0.92/1.12 (~(i9 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 0.92/1.12 tff(7947,plain,
% 0.92/1.12 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7946, 7943])).
% 0.92/1.12 tff(7948,plain,
% 0.92/1.12 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1575, 17, 7947])).
% 0.92/1.12 tff(7949,plain,
% 0.92/1.12 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7948])).
% 0.92/1.12 tff(7950,plain,
% 0.92/1.12 ((i33 = i39) <=> (i33 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7951,plain,
% 0.92/1.12 ((~(i33 = i39)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7950])).
% 0.92/1.12 tff(7952,plain,
% 0.92/1.12 (~(i33 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[6174, 7951])).
% 0.92/1.12 tff(7953,plain,
% 0.92/1.12 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1594, 17, 7952])).
% 0.92/1.12 tff(7954,plain,
% 0.92/1.12 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7953])).
% 0.92/1.12 tff(7955,plain,
% 0.92/1.12 ((i7 = i39) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7956,plain,
% 0.92/1.12 ((~(i7 = i39)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7955])).
% 0.92/1.12 tff(7957,plain,
% 0.92/1.12 ((~(i7 = i39)) <=> (~(i7 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7958,axiom,(~(i7 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1017')).
% 0.92/1.12 tff(7959,plain,
% 0.92/1.12 (~(i7 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7958, 7957])).
% 0.92/1.12 tff(7960,plain,
% 0.92/1.12 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7959, 7956])).
% 0.92/1.12 tff(7961,plain,
% 0.92/1.12 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.12 inference(unit_resolution,[status(thm)],[1613, 17, 7960])).
% 0.92/1.12 tff(7962,plain,
% 0.92/1.12 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.92/1.12 inference(symmetry,[status(thm)],[7961])).
% 0.92/1.12 tff(7963,plain,
% 0.92/1.12 ((i15 = i39) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.12 tff(7964,plain,
% 0.92/1.12 ((~(i15 = i39)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.12 inference(monotonicity,[status(thm)],[7963])).
% 0.92/1.12 tff(7965,plain,
% 0.92/1.12 ((~(i15 = i39)) <=> (~(i15 = i39))),
% 0.92/1.12 inference(rewrite,[status(thm)],[])).
% 0.92/1.12 tff(7966,axiom,(~(i15 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp709')).
% 0.92/1.12 tff(7967,plain,
% 0.92/1.12 (~(i15 = i39)),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 0.92/1.12 tff(7968,plain,
% 0.92/1.12 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.12 inference(modus_ponens,[status(thm)],[7967, 7964])).
% 0.92/1.12 tff(7969,plain,
% 0.92/1.12 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1632, 17, 7968])).
% 0.92/1.13 tff(7970,plain,
% 0.92/1.13 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[7969])).
% 0.92/1.13 tff(7971,plain,
% 0.92/1.13 ((i27 = i39) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(7972,plain,
% 0.92/1.13 ((~(i27 = i39)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7971])).
% 0.92/1.13 tff(7973,plain,
% 0.92/1.13 ((~(i27 = i39)) <=> (~(i27 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(7974,axiom,(~(i27 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp367')).
% 0.92/1.13 tff(7975,plain,
% 0.92/1.13 (~(i27 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 0.92/1.13 tff(7976,plain,
% 0.92/1.13 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7975, 7972])).
% 0.92/1.13 tff(7977,plain,
% 0.92/1.13 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1651, 17, 7976])).
% 0.92/1.13 tff(7978,plain,
% 0.92/1.13 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[7977])).
% 0.92/1.13 tff(7979,plain,
% 0.92/1.13 ((i6 = i39) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(7980,plain,
% 0.92/1.13 ((~(i6 = i39)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7979])).
% 0.92/1.13 tff(7981,plain,
% 0.92/1.13 ((~(i6 = i39)) <=> (~(i6 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(7982,axiom,(~(i6 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1060')).
% 0.92/1.13 tff(7983,plain,
% 0.92/1.13 (~(i6 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 0.92/1.13 tff(7984,plain,
% 0.92/1.13 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7983, 7980])).
% 0.92/1.13 tff(7985,plain,
% 0.92/1.13 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1670, 17, 7984])).
% 0.92/1.13 tff(7986,plain,
% 0.92/1.13 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[7985])).
% 0.92/1.13 tff(7987,plain,
% 0.92/1.13 ((i13 = i39) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(7988,plain,
% 0.92/1.13 ((~(i13 = i39)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7987])).
% 0.92/1.13 tff(7989,plain,
% 0.92/1.13 ((~(i13 = i39)) <=> (~(i13 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(7990,axiom,(~(i13 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp780')).
% 0.92/1.13 tff(7991,plain,
% 0.92/1.13 (~(i13 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 0.92/1.13 tff(7992,plain,
% 0.92/1.13 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7991, 7988])).
% 0.92/1.13 tff(7993,plain,
% 0.92/1.13 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1689, 17, 7992])).
% 0.92/1.13 tff(7994,plain,
% 0.92/1.13 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[7993])).
% 0.92/1.13 tff(7995,plain,
% 0.92/1.13 ((i14 = i39) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(7996,plain,
% 0.92/1.13 ((~(i14 = i39)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7995])).
% 0.92/1.13 tff(7997,plain,
% 0.92/1.13 ((~(i14 = i39)) <=> (~(i14 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(7998,axiom,(~(i14 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp744')).
% 0.92/1.13 tff(7999,plain,
% 0.92/1.13 (~(i14 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7998, 7997])).
% 0.92/1.13 tff(8000,plain,
% 0.92/1.13 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[7999, 7996])).
% 0.92/1.13 tff(8001,plain,
% 0.92/1.13 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1707, 17, 8000])).
% 0.92/1.13 tff(8002,plain,
% 0.92/1.13 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8001])).
% 0.92/1.13 tff(8003,plain,
% 0.92/1.13 (select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850)) = select(store(a_1811, i8, e8), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3673, 17, 2909])).
% 0.92/1.13 tff(8004,plain,
% 0.92/1.13 (select(store(a_1811, i8, e8), sk(a_1800, a_1850)) = select(store(store(a_1811, i8, e8), i49, e49), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8003])).
% 0.92/1.13 tff(8005,plain,
% 0.92/1.13 ((i8 = i39) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(8006,plain,
% 0.92/1.13 ((~(i8 = i39)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8005])).
% 0.92/1.13 tff(8007,plain,
% 0.92/1.13 ((~(i8 = i39)) <=> (~(i8 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8008,axiom,(~(i8 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp975')).
% 0.92/1.13 tff(8009,plain,
% 0.92/1.13 (~(i8 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 0.92/1.13 tff(8010,plain,
% 0.92/1.13 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8009, 8006])).
% 0.92/1.13 tff(8011,plain,
% 0.92/1.13 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3691, 17, 8010])).
% 0.92/1.13 tff(8012,plain,
% 0.92/1.13 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8011])).
% 0.92/1.13 tff(8013,plain,
% 0.92/1.13 ((i16 = i39) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(8014,plain,
% 0.92/1.13 ((~(i16 = i39)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8013])).
% 0.92/1.13 tff(8015,plain,
% 0.92/1.13 ((~(i16 = i39)) <=> (~(i16 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8016,axiom,(~(i16 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp675')).
% 0.92/1.13 tff(8017,plain,
% 0.92/1.13 (~(i16 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 0.92/1.13 tff(8018,plain,
% 0.92/1.13 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8017, 8014])).
% 0.92/1.13 tff(8019,plain,
% 0.92/1.13 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3710, 17, 8018])).
% 0.92/1.13 tff(8020,plain,
% 0.92/1.13 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8019])).
% 0.92/1.13 tff(8021,plain,
% 0.92/1.13 ((i20 = i39) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[7885])).
% 0.92/1.13 tff(8022,plain,
% 0.92/1.13 ((~(i20 = i39)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8021])).
% 0.92/1.13 tff(8023,plain,
% 0.92/1.13 ((~(i20 = i39)) <=> (~(i20 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8024,axiom,(~(i20 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp549')).
% 0.92/1.13 tff(8025,plain,
% 0.92/1.13 (~(i20 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 0.92/1.13 tff(8026,plain,
% 0.92/1.13 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8025, 8022])).
% 0.92/1.13 tff(8027,plain,
% 0.92/1.13 (select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850)) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3748, 17, 8026])).
% 0.92/1.13 tff(8028,plain,
% 0.92/1.13 (select(store(a_1807, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1807, i39, e39), i20, e20), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8027])).
% 0.92/1.13 tff(8029,plain,
% 0.92/1.13 (select(store(store(a_1806, i22, e22), i39, e39), i39) = select(store(a_1807, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[3756, 7885])).
% 0.92/1.13 tff(8030,plain,
% 0.92/1.13 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1806, i22, e22), i39, e39), i39) = e39)),
% 0.92/1.13 inference(quant_inst,[status(thm)],[])).
% 0.92/1.13 tff(8031,plain,
% 0.92/1.13 (select(store(store(a_1806, i22, e22), i39, e39), i39) = e39),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8030, 47])).
% 0.92/1.13 tff(8032,plain,
% 0.92/1.13 (e39 = select(store(store(a_1806, i22, e22), i39, e39), i39)),
% 0.92/1.13 inference(symmetry,[status(thm)],[8031])).
% 0.92/1.13 tff(8033,plain,
% 0.92/1.13 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1787, i38, e38), i39, e39), i39) = e39)),
% 0.92/1.13 inference(quant_inst,[status(thm)],[])).
% 0.92/1.13 tff(8034,plain,
% 0.92/1.13 (select(store(store(a_1787, i38, e38), i39, e39), i39) = e39),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8033, 47])).
% 0.92/1.13 tff(8035,plain,
% 0.92/1.13 (sk(a_1800, a_1850) = i39),
% 0.92/1.13 inference(symmetry,[status(thm)],[7885])).
% 0.92/1.13 tff(8036,plain,
% 0.92/1.13 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), i39)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[6144, 8035])).
% 0.92/1.13 tff(8037,plain,
% 0.92/1.13 (e_1852 = e_1853),
% 0.92/1.13 inference(transitivity,[status(thm)],[4, 2894, 22, 2891, 2910, 2889, 5794, 2887, 2922, 6158, 2930, 6157, 3847, 6155, 3962, 6153, 4101, 6151, 4595, 6149, 5405, 6147, 4596, 8036, 8034, 8032, 8029, 8028, 3738, 6719, 3719, 8020, 3700, 8012, 3681, 8004, 3670, 8002, 1698, 7994, 1679, 7986, 1660, 7978, 1641, 7970, 1622, 7962, 1603, 7954, 1584, 7949, 1565, 7941, 1546, 7933, 1527, 7932, 1508, 7930, 1489, 7922, 1470, 6246, 1451, 7914, 1432, 7906, 1413, 7898, 1394, 7897, 1375, 7617, 1356, 7896, 1337, 7894, 1318, 3928, 1299, 1293, 1288, 7893, 1269, 5811, 1250, 5810, 1231, 5808, 1212, 3982, 1193, 3894, 1174, 5807, 1155, 5806, 1136, 3850, 1117, 3387, 1098, 2925, 1079, 2917, 1060, 2913, 1042, 2905, 1034, 26])).
% 0.92/1.13 tff(8038,plain,
% 0.92/1.13 ($false),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[999, 8037])).
% 0.92/1.13 tff(8039,plain,((i34 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i25 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.13 tff(8040,plain,
% 0.92/1.13 (i34 = sk(a_1800, a_1850)),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8039, 5805, 5804, 797, 3854, 11, 4100, 2577, 2903, 3855, 2900])).
% 0.92/1.13 tff(8041,plain,
% 0.92/1.13 ((i34 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8040])).
% 0.92/1.13 tff(8042,plain,
% 0.92/1.13 ((i34 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(transitivity,[status(thm)],[8041, 769])).
% 0.92/1.13 tff(8043,plain,
% 0.92/1.13 ((~(i34 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8042])).
% 0.92/1.13 tff(8044,plain,
% 0.92/1.13 ((~(i34 = i39)) <=> (~(i34 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8045,axiom,(~(i34 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp234')).
% 0.92/1.13 tff(8046,plain,
% 0.92/1.13 (~(i34 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8045, 8044])).
% 0.92/1.13 tff(8047,plain,
% 0.92/1.13 (~(i39 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8046, 8043])).
% 0.92/1.13 tff(8048,plain,
% 0.92/1.13 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1912, 8047])).
% 0.92/1.13 tff(8049,plain,
% 0.92/1.13 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8048])).
% 0.92/1.13 tff(8050,plain,
% 0.92/1.13 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[4598])).
% 0.92/1.13 tff(8051,plain,
% 0.92/1.13 ((i34 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8040])).
% 0.92/1.13 tff(8052,plain,
% 0.92/1.13 ((i34 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(transitivity,[status(thm)],[8051, 708])).
% 0.92/1.13 tff(8053,plain,
% 0.92/1.13 ((~(i34 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8052])).
% 0.92/1.13 tff(8054,plain,
% 0.92/1.13 ((~(i34 = i36)) <=> (~(i34 = i36))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8055,axiom,(~(i34 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp237')).
% 0.92/1.13 tff(8056,plain,
% 0.92/1.13 (~(i34 = i36)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8055, 8054])).
% 0.92/1.13 tff(8057,plain,
% 0.92/1.13 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8056, 8053])).
% 0.92/1.13 tff(8058,plain,
% 0.92/1.13 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[718, 17, 8057])).
% 0.92/1.13 tff(8059,plain,
% 0.92/1.13 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8058])).
% 0.92/1.13 tff(8060,plain,
% 0.92/1.13 (select(store(store(a_1782, i33, e33), i34, e34), i34) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8040])).
% 0.92/1.13 tff(8061,plain,
% 0.92/1.13 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1782, i33, e33), i34, e34), i34) = e34)),
% 0.92/1.13 inference(quant_inst,[status(thm)],[])).
% 0.92/1.13 tff(8062,plain,
% 0.92/1.13 (select(store(store(a_1782, i33, e33), i34, e34), i34) = e34),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8061, 47])).
% 0.92/1.13 tff(8063,plain,
% 0.92/1.13 (e34 = select(store(store(a_1782, i33, e33), i34, e34), i34)),
% 0.92/1.13 inference(symmetry,[status(thm)],[8062])).
% 0.92/1.13 tff(8064,plain,
% 0.92/1.13 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1825, i26, e26), i34, e34), i34) = e34)),
% 0.92/1.13 inference(quant_inst,[status(thm)],[])).
% 0.92/1.13 tff(8065,plain,
% 0.92/1.13 (select(store(store(a_1825, i26, e26), i34, e34), i34) = e34),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8064, 47])).
% 0.92/1.13 tff(8066,plain,
% 0.92/1.13 (sk(a_1800, a_1850) = i34),
% 0.92/1.13 inference(symmetry,[status(thm)],[8040])).
% 0.92/1.13 tff(8067,plain,
% 0.92/1.13 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), i34)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8066])).
% 0.92/1.13 tff(8068,plain,
% 0.92/1.13 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = e_1852),
% 0.92/1.13 inference(transitivity,[status(thm)],[6573, 8067, 8065, 8063, 8060, 687, 4060, 706, 8059, 725, 4049, 744, 8050, 767, 8049, 786, 5803, 809, 5802, 828, 5801, 847, 5800, 866, 5799, 885, 5798, 904, 5797, 923, 5796, 942, 5795, 961, 5792, 981, 1017, 994, 5])).
% 0.92/1.13 tff(8069,plain,
% 0.92/1.13 ((i2 = i34) <=> (i2 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8040])).
% 0.92/1.13 tff(8070,plain,
% 0.92/1.13 ((~(i2 = i34)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8069])).
% 0.92/1.13 tff(8071,plain,
% 0.92/1.13 (~(i2 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[6067, 8070])).
% 0.92/1.13 tff(8072,plain,
% 0.92/1.13 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1280, 8071])).
% 0.92/1.13 tff(8073,plain,
% 0.92/1.13 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8072])).
% 0.92/1.13 tff(8074,plain,
% 0.92/1.13 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1423, 17, 8057])).
% 0.92/1.13 tff(8075,plain,
% 0.92/1.13 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8074])).
% 0.92/1.13 tff(8076,plain,
% 0.92/1.13 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = e_1853),
% 0.92/1.13 inference(transitivity,[status(thm)],[1432, 8075, 1413, 7898, 1394, 7897, 1375, 7617, 1356, 7896, 1337, 7894, 1318, 3928, 1299, 1293, 1288, 8073, 1269, 5811, 1250, 5810, 1231, 5808, 1212, 3982, 1193, 3894, 1174, 5807, 1155, 5806, 1136, 3850, 1117, 3387, 1098, 2925, 1079, 2917, 1060, 2913, 1042, 2905, 1034, 26])).
% 0.92/1.13 tff(8077,plain,
% 0.92/1.13 ((select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8076, 8068])).
% 0.92/1.13 tff(8078,plain,
% 0.92/1.13 ((select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.92/1.13 inference(transitivity,[status(thm)],[8077, 1])).
% 0.92/1.13 tff(8079,plain,
% 0.92/1.13 ((e_1852 = e_1853) <=> (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8078])).
% 0.92/1.13 tff(8080,plain,
% 0.92/1.13 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8079])).
% 0.92/1.13 tff(8081,plain,
% 0.92/1.13 (~(select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850)))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[999, 8080])).
% 0.92/1.13 tff(8082,plain,
% 0.92/1.13 ((i11 = i34) <=> (i11 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8040])).
% 0.92/1.13 tff(8083,plain,
% 0.92/1.13 ((~(i11 = i34)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8082])).
% 0.92/1.13 tff(8084,plain,
% 0.92/1.13 ((~(i11 = i34)) <=> (~(i11 = i34))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8085,axiom,(~(i11 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp860')).
% 0.92/1.13 tff(8086,plain,
% 0.92/1.13 (~(i11 = i34)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 0.92/1.13 tff(8087,plain,
% 0.92/1.13 (~(i11 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8086, 8083])).
% 0.92/1.13 tff(8088,plain,
% 0.92/1.13 ($false),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1442, 17, 8087, 8081])).
% 0.92/1.13 tff(8089,plain,((i25 = sk(a_1800, a_1850)) | (i23 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i43 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.13 tff(8090,plain,
% 0.92/1.13 (i23 = sk(a_1800, a_1850)),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8089, 5791, 3854, 2900, 11, 797, 4100, 2577, 2903, 3855])).
% 0.92/1.13 tff(8091,plain,
% 0.92/1.13 ((i23 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8090])).
% 0.92/1.13 tff(8092,plain,
% 0.92/1.13 ((i23 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(transitivity,[status(thm)],[8091, 670])).
% 0.92/1.13 tff(8093,plain,
% 0.92/1.13 ((i34 = sk(a_1800, a_1850)) <=> (i23 = i34)),
% 0.92/1.13 inference(symmetry,[status(thm)],[8092])).
% 0.92/1.13 tff(8094,assumption,(i23 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.92/1.13 tff(8095,plain,
% 0.92/1.13 ((i23 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.92/1.13 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.13 tff(8096,plain,
% 0.92/1.13 ((i23 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(transitivity,[status(thm)],[8095, 769])).
% 0.92/1.13 tff(8097,plain,
% 0.92/1.13 ((i39 = sk(a_1800, a_1850)) <=> (i23 = i39)),
% 0.92/1.13 inference(symmetry,[status(thm)],[8096])).
% 0.92/1.13 tff(8098,assumption,(i39 = sk(a_1800, a_1850)), introduced(assumption)).
% 0.92/1.13 tff(8099,plain,
% 0.92/1.13 (i23 = i39),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 0.92/1.13 tff(8100,plain,
% 0.92/1.13 ((~(i23 = i39)) <=> (~(i23 = i39))),
% 0.92/1.13 inference(rewrite,[status(thm)],[])).
% 0.92/1.13 tff(8101,axiom,(~(i23 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp465')).
% 0.92/1.13 tff(8102,plain,
% 0.92/1.13 (~(i23 = i39)),
% 0.92/1.13 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 0.92/1.13 tff(8103,plain,
% 0.92/1.13 ($false),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8102, 8099])).
% 0.92/1.13 tff(8104,plain,((~(i39 = sk(a_1800, a_1850))) | (~(i23 = sk(a_1800, a_1850)))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.13 tff(8105,plain,
% 0.92/1.13 (~(i39 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[8104, 8090])).
% 0.92/1.13 tff(8106,plain,
% 0.92/1.13 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1912, 8105])).
% 0.92/1.13 tff(8107,plain,
% 0.92/1.13 (~(i47 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[2791, 2578, 1035, 11])).
% 0.92/1.13 tff(8108,plain,
% 0.92/1.13 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1729, 8107])).
% 0.92/1.13 tff(8109,plain,
% 0.92/1.13 (~(i24 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[2352, 2578, 1035, 8108, 2589, 22])).
% 0.92/1.13 tff(8110,plain,
% 0.92/1.13 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1090, 8109])).
% 0.92/1.13 tff(8111,plain,
% 0.92/1.13 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8110])).
% 0.92/1.13 tff(8112,plain,
% 0.92/1.13 (~(i46 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[2897, 2578, 1035, 11])).
% 0.92/1.13 tff(8113,plain,
% 0.92/1.13 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1829, 8112])).
% 0.92/1.13 tff(8114,plain,
% 0.92/1.13 (~(i4 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3384, 8113, 1035, 8108, 2589, 22, 2577])).
% 0.92/1.13 tff(8115,plain,
% 0.92/1.13 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1109, 8114])).
% 0.92/1.13 tff(8116,plain,
% 0.92/1.13 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8115])).
% 0.92/1.13 tff(8117,plain,
% 0.92/1.13 (~(i45 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3845, 8115, 2578, 1035, 8112, 11])).
% 0.92/1.13 tff(8118,plain,
% 0.92/1.13 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[897, 17, 8117])).
% 0.92/1.13 tff(8119,plain,
% 0.92/1.13 (~(i32 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[2483, 8115, 2578, 1035, 8118, 8113, 8108, 2589, 22])).
% 0.92/1.13 tff(8120,plain,
% 0.92/1.13 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1128, 8119])).
% 0.92/1.13 tff(8121,plain,
% 0.92/1.13 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8120])).
% 0.92/1.13 tff(8122,plain,
% 0.92/1.13 (~(i44 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[3960, 2900, 2578, 1035, 3854, 11, 8115])).
% 0.92/1.13 tff(8123,plain,
% 0.92/1.13 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1772, 8122])).
% 0.92/1.13 tff(8124,plain,
% 0.92/1.13 (~(i29 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4094, 3855, 2578, 1035, 8123, 8118, 8113, 8108, 2589, 22, 3854, 2900, 8115])).
% 0.92/1.13 tff(8125,plain,
% 0.92/1.13 (~(i5 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4371, 8124, 8123, 8118, 8113, 8108, 2589, 22, 2577, 1035, 3854, 2900])).
% 0.92/1.13 tff(8126,plain,
% 0.92/1.13 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1147, 8125])).
% 0.92/1.13 tff(8127,plain,
% 0.92/1.13 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8126])).
% 0.92/1.13 tff(8128,plain,
% 0.92/1.13 (~(i38 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4542, 8126, 8115, 2578, 1035, 3854, 11, 3855, 2900])).
% 0.92/1.13 tff(8129,plain,
% 0.92/1.13 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[760, 8128])).
% 0.92/1.13 tff(8130,plain,
% 0.92/1.13 (~(i42 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4593, 2520, 8126, 8115, 2578, 1035, 3854, 11, 3855, 2900])).
% 0.92/1.13 tff(8131,plain,
% 0.92/1.13 (~(i12 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4790, 8130, 8129, 4769, 8123, 8118, 8113, 8108, 2589, 22, 2577, 8124, 3854, 2900, 1035])).
% 0.92/1.13 tff(8132,plain,
% 0.92/1.13 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1166, 8131])).
% 0.92/1.13 tff(8133,plain,
% 0.92/1.13 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8132])).
% 0.92/1.13 tff(8134,plain,
% 0.92/1.13 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[4098, 8124])).
% 0.92/1.13 tff(8135,plain,
% 0.92/1.13 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 0.92/1.13 inference(symmetry,[status(thm)],[8134])).
% 0.92/1.13 tff(8136,plain,
% 0.92/1.13 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1876, 8130])).
% 0.92/1.13 tff(8137,plain,
% 0.92/1.13 (~(i41 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[5403, 3981, 8112, 8130, 8126, 8120, 8115, 2578, 1035, 8132, 8122, 3893, 11])).
% 0.92/1.13 tff(8138,plain,
% 0.92/1.13 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1888, 8137])).
% 0.92/1.13 tff(8139,plain,
% 0.92/1.13 (~(i10 = sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[5680, 8138, 2900, 1035, 8126, 4769, 8136, 2520, 8123, 8118, 8113, 8108, 2589, 22, 8131, 2577, 8124, 8119, 3981])).
% 0.92/1.13 tff(8140,plain,
% 0.92/1.13 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.92/1.13 inference(unit_resolution,[status(thm)],[1260, 17, 8139])).
% 0.92/1.13 tff(8141,plain,
% 0.92/1.13 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8140])).
% 0.92/1.14 tff(8142,plain,
% 0.92/1.14 (~(i2 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[6098, 6095, 2900, 4769, 8138, 8136, 2520, 8123, 8118, 8113, 8108, 2589, 22, 3855, 8125, 8131, 2577, 8124, 8119, 1035])).
% 0.92/1.14 tff(8143,plain,
% 0.92/1.14 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1280, 8142])).
% 0.92/1.14 tff(8144,plain,
% 0.92/1.14 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8143])).
% 0.92/1.14 tff(8145,plain,
% 0.92/1.14 (select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850)) = select(store(a_1832, i25, e25), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1328, 17, 8112])).
% 0.92/1.14 tff(8146,plain,
% 0.92/1.14 (select(store(a_1832, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1832, i25, e25), i46, e46), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8145])).
% 0.92/1.14 tff(8147,plain,
% 0.92/1.14 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[585, 8124])).
% 0.92/1.14 tff(8148,plain,
% 0.92/1.14 (~(i25 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[5790, 8140, 8134, 3981, 8132, 8126, 8115, 2578, 1035, 8147, 8129, 4769, 8138, 8136, 2520, 3854, 2900, 11])).
% 0.92/1.14 tff(8149,plain,
% 0.92/1.14 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1347, 17, 8148])).
% 0.92/1.14 tff(8150,plain,
% 0.92/1.14 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8149])).
% 0.92/1.14 tff(8151,plain,
% 0.92/1.14 (sk(a_1800, a_1850) = i23),
% 0.92/1.14 inference(symmetry,[status(thm)],[8094])).
% 0.92/1.14 tff(8152,plain,
% 0.92/1.14 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), i23)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8151])).
% 0.92/1.14 tff(8153,plain,
% 0.92/1.14 (select(store(store(a_1830, i38, e38), i23, e23), i23) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8152])).
% 0.92/1.14 tff(8154,plain,
% 0.92/1.14 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1830, i38, e38), i23, e23), i23) = e23)),
% 0.92/1.14 inference(quant_inst,[status(thm)],[])).
% 0.92/1.14 tff(8155,plain,
% 0.92/1.14 (select(store(store(a_1830, i38, e38), i23, e23), i23) = e23),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8154, 47])).
% 0.92/1.14 tff(8156,plain,
% 0.92/1.14 (e23 = select(store(store(a_1830, i38, e38), i23, e23), i23)),
% 0.92/1.14 inference(symmetry,[status(thm)],[8155])).
% 0.92/1.14 tff(8157,plain,
% 0.92/1.14 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1771, i22, e22), i23, e23), i23) = e23)),
% 0.92/1.14 inference(quant_inst,[status(thm)],[])).
% 0.92/1.14 tff(8158,plain,
% 0.92/1.14 (select(store(store(a_1771, i22, e22), i23, e23), i23) = e23),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8157, 47])).
% 0.92/1.14 tff(8159,plain,
% 0.92/1.14 (select(store(store(a_1771, i22, e22), i23, e23), i23) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.14 tff(8160,plain,
% 0.92/1.14 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), i23)),
% 0.92/1.14 inference(symmetry,[status(thm)],[8159])).
% 0.92/1.14 tff(8161,plain,
% 0.92/1.14 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[486, 17, 8109])).
% 0.92/1.14 tff(8162,plain,
% 0.92/1.14 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[505, 17, 8148])).
% 0.92/1.14 tff(8163,plain,
% 0.92/1.14 ((i23 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.14 tff(8164,plain,
% 0.92/1.14 ((i23 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(transitivity,[status(thm)],[8163, 514])).
% 0.92/1.14 tff(8165,plain,
% 0.92/1.14 ((~(i23 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8164])).
% 0.92/1.14 tff(8166,plain,
% 0.92/1.14 ((~(i23 = i26)) <=> (~(i23 = i26))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8167,axiom,(~(i23 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp478')).
% 0.92/1.14 tff(8168,plain,
% 0.92/1.14 (~(i23 = i26)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 0.92/1.14 tff(8169,plain,
% 0.92/1.14 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8168, 8165])).
% 0.92/1.14 tff(8170,plain,
% 0.92/1.14 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[524, 17, 8169])).
% 0.92/1.14 tff(8171,plain,
% 0.92/1.14 ((i23 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.14 tff(8172,plain,
% 0.92/1.14 ((i23 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(transitivity,[status(thm)],[8171, 533])).
% 0.92/1.14 tff(8173,plain,
% 0.92/1.14 ((~(i23 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8172])).
% 0.92/1.14 tff(8174,plain,
% 0.92/1.14 ((~(i23 = i27)) <=> (~(i23 = i27))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8175,axiom,(~(i23 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp477')).
% 0.92/1.14 tff(8176,plain,
% 0.92/1.14 (~(i23 = i27)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 0.92/1.14 tff(8177,plain,
% 0.92/1.14 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8176, 8173])).
% 0.92/1.14 tff(8178,plain,
% 0.92/1.14 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[543, 17, 8177])).
% 0.92/1.14 tff(8179,plain,
% 0.92/1.14 ((i23 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.14 tff(8180,plain,
% 0.92/1.14 ((i23 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(transitivity,[status(thm)],[8179, 552])).
% 0.92/1.14 tff(8181,plain,
% 0.92/1.14 ((~(i23 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8180])).
% 0.92/1.14 tff(8182,plain,
% 0.92/1.14 ((~(i23 = i28)) <=> (~(i23 = i28))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8183,axiom,(~(i23 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp476')).
% 0.92/1.14 tff(8184,plain,
% 0.92/1.14 (~(i23 = i28)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 0.92/1.14 tff(8185,plain,
% 0.92/1.14 (~(i28 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8184, 8181])).
% 0.92/1.14 tff(8186,plain,
% 0.92/1.14 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[2318, 8185])).
% 0.92/1.14 tff(8187,plain,
% 0.92/1.14 ((i23 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8094])).
% 0.92/1.14 tff(8188,plain,
% 0.92/1.14 ((i23 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(transitivity,[status(thm)],[8187, 594])).
% 0.92/1.14 tff(8189,plain,
% 0.92/1.14 ((~(i23 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8188])).
% 0.92/1.14 tff(8190,plain,
% 0.92/1.14 ((~(i23 = i30)) <=> (~(i23 = i30))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8191,axiom,(~(i23 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp474')).
% 0.92/1.14 tff(8192,plain,
% 0.92/1.14 (~(i23 = i30)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 0.92/1.14 tff(8193,plain,
% 0.92/1.14 (~(i30 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8192, 8189])).
% 0.92/1.14 tff(8194,plain,
% 0.92/1.14 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[604, 17, 8193])).
% 0.92/1.14 tff(8195,plain,
% 0.92/1.14 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[642, 17, 8119])).
% 0.92/1.14 tff(8196,plain,
% 0.92/1.14 (select(store(store(a_1821, i17, e17), i42, e42), sk(a_1800, a_1850)) = select(store(a_1821, i17, e17), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1538, 8130])).
% 0.92/1.14 tff(8197,plain,
% 0.92/1.14 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[6161, 1292, 2589, 8108, 8112, 8118, 2520, 8136, 4769, 8138, 4048, 6095, 8143, 8140, 8134, 3981, 3893, 8132, 8126, 8120, 8115, 2578, 1035, 8122, 8128, 22])).
% 0.92/1.14 tff(8198,plain,
% 0.92/1.14 (~(i33 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[6268, 8197, 5812, 4769, 8138, 8136, 8140, 8134, 3981, 3893, 8132, 8126, 8115, 2578, 1035, 8196, 4048, 8122, 8128, 3854, 11])).
% 0.92/1.14 tff(8199,plain,
% 0.92/1.14 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[661, 17, 8198])).
% 0.92/1.14 tff(8200,plain,
% 0.92/1.14 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[680, 17, 5812])).
% 0.92/1.14 tff(8201,plain,
% 0.92/1.14 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1948, 8197])).
% 0.92/1.14 tff(8202,plain,
% 0.92/1.14 (e_1852 = e_1853),
% 0.92/1.14 inference(transitivity,[status(thm)],[4, 995, 22, 982, 2589, 962, 2592, 943, 8108, 924, 8113, 905, 8118, 886, 8123, 867, 2520, 848, 8136, 829, 8138, 810, 4769, 787, 6095, 768, 8129, 745, 4048, 726, 8201, 707, 4059, 688, 8200, 669, 8199, 650, 8195, 631, 5746, 612, 8194, 593, 8147, 570, 8186, 551, 8178, 532, 8170, 513, 8162, 494, 8161, 476, 8160, 8158, 8156, 8153, 6563, 8150, 6560, 8146, 6557, 3928, 6551, 1293, 6328, 8144, 6325, 8141, 5833, 2675, 5830, 8135, 5828, 3982, 5823, 3894, 5820, 8133, 4604, 8127, 3853, 8121, 3390, 8116, 2928, 8111, 2920, 2917, 2916, 2605, 2908, 1036, 2902, 26])).
% 0.92/1.14 tff(8203,plain,
% 0.92/1.14 ($false),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[999, 8202])).
% 0.92/1.14 tff(8204,plain,((~(select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850)))) | (~(select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850)))) | (~(i23 = sk(a_1800, a_1850))) | (i34 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.14 tff(8205,plain,
% 0.92/1.14 (i34 = sk(a_1800, a_1850)),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8204, 8106, 4596, 4101, 8090, 2904, 3854, 11, 2900, 3855, 2577])).
% 0.92/1.14 tff(8206,plain,
% 0.92/1.14 (i23 = i34),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8205, 8093])).
% 0.92/1.14 tff(8207,plain,
% 0.92/1.14 ((~(i23 = i34)) <=> (~(i23 = i34))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8208,axiom,(~(i23 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp470')).
% 0.92/1.14 tff(8209,plain,
% 0.92/1.14 (~(i23 = i34)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 0.92/1.14 tff(8210,plain,
% 0.92/1.14 ($false),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8209, 8206])).
% 0.92/1.14 tff(8211,plain,((i43 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i40 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.14 tff(8212,plain,
% 0.92/1.14 (i43 = sk(a_1800, a_1850)),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8211, 797, 11, 2900, 3855, 2577, 3854, 2903])).
% 0.92/1.14 tff(8213,plain,
% 0.92/1.14 ((i42 = i43) <=> (i42 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8212])).
% 0.92/1.14 tff(8214,plain,
% 0.92/1.14 ((i42 = sk(a_1800, a_1850)) <=> (i42 = i43)),
% 0.92/1.14 inference(symmetry,[status(thm)],[8213])).
% 0.92/1.14 tff(8215,plain,
% 0.92/1.14 (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[5104, 8212, 2929, 3849, 3386, 2578, 2904, 3961, 4373, 11])).
% 0.92/1.14 tff(8216,plain,
% 0.92/1.14 (i12 = sk(a_1800, a_1850)),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1166, 8215])).
% 0.92/1.14 tff(8217,plain,
% 0.92/1.14 (i42 = sk(a_1800, a_1850)),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[4790, 8216, 4598, 4596, 3962, 3847, 2930, 2922, 2910, 22, 2577, 4095, 3854, 2900, 2904])).
% 0.92/1.14 tff(8218,plain,
% 0.92/1.14 (i42 = i43),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8217, 8214])).
% 0.92/1.14 tff(8219,plain,
% 0.92/1.14 ($false),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[4949, 8218])).
% 0.92/1.14 tff(8220,plain,((i40 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i3 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.14 tff(8221,plain,
% 0.92/1.14 (i40 = sk(a_1800, a_1850)),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8220, 3855, 3854, 2900, 11, 2577, 2903])).
% 0.92/1.14 tff(8222,plain,
% 0.92/1.14 ((i12 = i40) <=> (i12 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8221])).
% 0.92/1.14 tff(8223,plain,
% 0.92/1.14 ((~(i12 = i40)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8222])).
% 0.92/1.14 tff(8224,plain,
% 0.92/1.14 ((~(i12 = i40)) <=> (~(i12 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8225,axiom,(~(i12 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp816')).
% 0.92/1.14 tff(8226,plain,
% 0.92/1.14 (~(i12 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 0.92/1.14 tff(8227,plain,
% 0.92/1.14 (~(i12 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8226, 8223])).
% 0.92/1.14 tff(8228,plain,
% 0.92/1.14 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1166, 8227])).
% 0.92/1.14 tff(8229,plain,
% 0.92/1.14 (sk(a_1800, a_1850) = i40),
% 0.92/1.14 inference(symmetry,[status(thm)],[4465])).
% 0.92/1.14 tff(8230,plain,
% 0.92/1.14 ((i16 = sk(a_1800, a_1850)) <=> (i16 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8231,plain,
% 0.92/1.14 ((i16 = i40) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8230])).
% 0.92/1.14 tff(8232,plain,
% 0.92/1.14 ((~(i16 = i40)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8231])).
% 0.92/1.14 tff(8233,plain,
% 0.92/1.14 ((~(i16 = i40)) <=> (~(i16 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8234,axiom,(~(i16 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp674')).
% 0.92/1.14 tff(8235,plain,
% 0.92/1.14 (~(i16 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 0.92/1.14 tff(8236,plain,
% 0.92/1.14 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8235, 8232])).
% 0.92/1.14 tff(8237,plain,
% 0.92/1.14 (~(i41 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[5403, 5120, 5118, 2505, 2503, 2501, 1775, 1774, 1035, 4778, 4805, 3401, 11])).
% 0.92/1.14 tff(8238,plain,
% 0.92/1.14 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1888, 8237])).
% 0.92/1.14 tff(8239,plain,
% 0.92/1.14 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8238])).
% 0.92/1.14 tff(8240,plain,
% 0.92/1.14 (select(store(store(a_1788, i39, e39), i40, e40), i40) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[808, 4465])).
% 0.92/1.14 tff(8241,plain,
% 0.92/1.14 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1788, i39, e39), i40, e40), i40) = e40)),
% 0.92/1.14 inference(quant_inst,[status(thm)],[])).
% 0.92/1.14 tff(8242,plain,
% 0.92/1.14 (select(store(store(a_1788, i39, e39), i40, e40), i40) = e40),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8241, 47])).
% 0.92/1.14 tff(8243,plain,
% 0.92/1.14 (e40 = select(store(store(a_1788, i39, e39), i40, e40), i40)),
% 0.92/1.14 inference(symmetry,[status(thm)],[8242])).
% 0.92/1.14 tff(8244,plain,
% 0.92/1.14 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1808, i20, e20), i40, e40), i40) = e40)),
% 0.92/1.14 inference(quant_inst,[status(thm)],[])).
% 0.92/1.14 tff(8245,plain,
% 0.92/1.14 (select(store(store(a_1808, i20, e20), i40, e40), i40) = e40),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[8244, 47])).
% 0.92/1.14 tff(8246,plain,
% 0.92/1.14 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1808, i20, e20), i40, e40), i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[7135, 8229])).
% 0.92/1.14 tff(8247,plain,
% 0.92/1.14 (select(store(a_1809, i40, e40), sk(a_1800, a_1850)) = e_1852),
% 0.92/1.14 inference(transitivity,[status(thm)],[8246, 8245, 8243, 8240, 8239, 828, 5109, 847, 5107, 866, 4807, 885, 4804, 904, 3403, 923, 3400, 942, 2593, 961, 2590, 981, 1017, 994, 5])).
% 0.92/1.14 tff(8248,plain,
% 0.92/1.14 ((i10 = i40) <=> (i10 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[4465])).
% 0.92/1.14 tff(8249,plain,
% 0.92/1.14 ((~(i10 = i40)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8248])).
% 0.92/1.14 tff(8250,plain,
% 0.92/1.14 ((~(i10 = i40)) <=> (~(i10 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8251,axiom,(~(i10 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp893')).
% 0.92/1.14 tff(8252,plain,
% 0.92/1.14 (~(i10 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 0.92/1.14 tff(8253,plain,
% 0.92/1.14 (~(i10 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8252, 8249])).
% 0.92/1.14 tff(8254,plain,
% 0.92/1.14 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1261, 8253])).
% 0.92/1.14 tff(8255,plain,
% 0.92/1.14 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8254])).
% 0.92/1.14 tff(8256,plain,
% 0.92/1.14 ((i2 = sk(a_1800, a_1850)) <=> (i2 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8257,plain,
% 0.92/1.14 ((i2 = i40) <=> (i2 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8256])).
% 0.92/1.14 tff(8258,plain,
% 0.92/1.14 ((~(i2 = i40)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8257])).
% 0.92/1.14 tff(8259,plain,
% 0.92/1.14 ((~(i2 = i40)) <=> (~(i2 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8260,axiom,(~(i2 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1241')).
% 0.92/1.14 tff(8261,plain,
% 0.92/1.14 (~(i2 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 0.92/1.14 tff(8262,plain,
% 0.92/1.14 (~(i2 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8261, 8258])).
% 0.92/1.14 tff(8263,plain,
% 0.92/1.14 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1280, 8262])).
% 0.92/1.14 tff(8264,plain,
% 0.92/1.14 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8263])).
% 0.92/1.14 tff(8265,plain,
% 0.92/1.14 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8266,plain,
% 0.92/1.14 ((i35 = i40) <=> (i35 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8265])).
% 0.92/1.14 tff(8267,plain,
% 0.92/1.14 ((~(i35 = i40)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8266])).
% 0.92/1.14 tff(8268,plain,
% 0.92/1.14 ((~(i35 = i40)) <=> (~(i35 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8269,axiom,(~(i35 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp218')).
% 0.92/1.14 tff(8270,plain,
% 0.92/1.14 (~(i35 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8269, 8268])).
% 0.92/1.14 tff(8271,plain,
% 0.92/1.14 (~(i35 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8270, 8267])).
% 0.92/1.14 tff(8272,plain,
% 0.92/1.14 (select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850)) = select(store(a_1833, i46, e46), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1310, 8271])).
% 0.92/1.14 tff(8273,plain,
% 0.92/1.14 (select(store(a_1833, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1833, i46, e46), i35, e35), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8272])).
% 0.92/1.14 tff(8274,plain,
% 0.92/1.14 ((i25 = sk(a_1800, a_1850)) <=> (i25 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8275,plain,
% 0.92/1.14 ((i25 = i40) <=> (i25 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8274])).
% 0.92/1.14 tff(8276,plain,
% 0.92/1.14 ((~(i25 = i40)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8275])).
% 0.92/1.14 tff(8277,plain,
% 0.92/1.14 ((~(i25 = i40)) <=> (~(i25 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8278,axiom,(~(i25 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp413')).
% 0.92/1.14 tff(8279,plain,
% 0.92/1.14 (~(i25 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8278, 8277])).
% 0.92/1.14 tff(8280,plain,
% 0.92/1.14 (~(i25 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8279, 8276])).
% 0.92/1.14 tff(8281,plain,
% 0.92/1.14 (select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850)) = select(store(a_1831, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1348, 8280])).
% 0.92/1.14 tff(8282,plain,
% 0.92/1.14 (select(store(a_1831, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1831, i23, e23), i25, e25), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8281])).
% 0.92/1.14 tff(8283,plain,
% 0.92/1.14 ((i23 = sk(a_1800, a_1850)) <=> (i23 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8284,plain,
% 0.92/1.14 ((i23 = i40) <=> (i23 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8283])).
% 0.92/1.14 tff(8285,plain,
% 0.92/1.14 ((~(i23 = i40)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8284])).
% 0.92/1.14 tff(8286,plain,
% 0.92/1.14 ((~(i23 = i40)) <=> (~(i23 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8287,axiom,(~(i23 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp464')).
% 0.92/1.14 tff(8288,plain,
% 0.92/1.14 (~(i23 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8287, 8286])).
% 0.92/1.14 tff(8289,plain,
% 0.92/1.14 (~(i23 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8288, 8285])).
% 0.92/1.14 tff(8290,plain,
% 0.92/1.14 (select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850)) = select(store(a_1830, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1367, 8289])).
% 0.92/1.14 tff(8291,plain,
% 0.92/1.14 (select(store(a_1830, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1830, i38, e38), i23, e23), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8290])).
% 0.92/1.14 tff(8292,plain,
% 0.92/1.14 ((i38 = sk(a_1800, a_1850)) <=> (i38 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8293,plain,
% 0.92/1.14 ((i38 = i40) <=> (i38 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8292])).
% 0.92/1.14 tff(8294,plain,
% 0.92/1.14 ((~(i38 = i40)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8293])).
% 0.92/1.14 tff(8295,plain,
% 0.92/1.14 (~(i38 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[4471, 8294])).
% 0.92/1.14 tff(8296,plain,
% 0.92/1.14 (select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850)) = select(store(a_1829, i44, e44), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1386, 8295])).
% 0.92/1.14 tff(8297,plain,
% 0.92/1.14 (select(store(a_1829, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1829, i44, e44), i38, e38), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8296])).
% 0.92/1.14 tff(8298,plain,
% 0.92/1.14 ((i36 = sk(a_1800, a_1850)) <=> (i36 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8299,plain,
% 0.92/1.14 ((i36 = i40) <=> (i36 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8298])).
% 0.92/1.14 tff(8300,plain,
% 0.92/1.14 ((~(i36 = i40)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8299])).
% 0.92/1.14 tff(8301,plain,
% 0.92/1.14 ((~(i36 = i40)) <=> (~(i36 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8302,axiom,(~(i36 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp204')).
% 0.92/1.14 tff(8303,plain,
% 0.92/1.14 (~(i36 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 0.92/1.14 tff(8304,plain,
% 0.92/1.14 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8303, 8300])).
% 0.92/1.14 tff(8305,plain,
% 0.92/1.14 (select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850)) = select(store(a_1827, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1424, 8304])).
% 0.92/1.14 tff(8306,plain,
% 0.92/1.14 (select(store(a_1827, i11, e11), sk(a_1800, a_1850)) = select(store(store(a_1827, i11, e11), i36, e36), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8305])).
% 0.92/1.14 tff(8307,plain,
% 0.92/1.14 ((i11 = sk(a_1800, a_1850)) <=> (i11 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8308,plain,
% 0.92/1.14 ((i11 = i40) <=> (i11 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8307])).
% 0.92/1.14 tff(8309,plain,
% 0.92/1.14 ((~(i11 = i40)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8308])).
% 0.92/1.14 tff(8310,plain,
% 0.92/1.14 ((~(i11 = i40)) <=> (~(i11 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8311,axiom,(~(i11 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp854')).
% 0.92/1.14 tff(8312,plain,
% 0.92/1.14 (~(i11 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 0.92/1.14 tff(8313,plain,
% 0.92/1.14 (~(i11 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8312, 8309])).
% 0.92/1.14 tff(8314,plain,
% 0.92/1.14 (select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850)) = select(store(a_1826, i34, e34), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1443, 8313])).
% 0.92/1.14 tff(8315,plain,
% 0.92/1.14 (select(store(a_1826, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1826, i34, e34), i11, e11), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8314])).
% 0.92/1.14 tff(8316,plain,
% 0.92/1.14 ((i34 = sk(a_1800, a_1850)) <=> (i34 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8317,plain,
% 0.92/1.14 ((i34 = i40) <=> (i34 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8316])).
% 0.92/1.14 tff(8318,plain,
% 0.92/1.14 ((~(i34 = i40)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8317])).
% 0.92/1.14 tff(8319,plain,
% 0.92/1.14 ((~(i34 = i40)) <=> (~(i34 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8320,axiom,(~(i34 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp233')).
% 0.92/1.14 tff(8321,plain,
% 0.92/1.14 (~(i34 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 0.92/1.14 tff(8322,plain,
% 0.92/1.14 (~(i34 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8321, 8318])).
% 0.92/1.14 tff(8323,plain,
% 0.92/1.14 (select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850)) = select(store(a_1825, i26, e26), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1462, 8322])).
% 0.92/1.14 tff(8324,plain,
% 0.92/1.14 (select(store(a_1825, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1825, i26, e26), i34, e34), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8323])).
% 0.92/1.14 tff(8325,plain,
% 0.92/1.14 ((i26 = sk(a_1800, a_1850)) <=> (i26 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8326,plain,
% 0.92/1.14 ((i26 = i40) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8325])).
% 0.92/1.14 tff(8327,plain,
% 0.92/1.14 ((~(i26 = i40)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8326])).
% 0.92/1.14 tff(8328,plain,
% 0.92/1.14 ((~(i26 = i40)) <=> (~(i26 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8329,axiom,(~(i26 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp389')).
% 0.92/1.14 tff(8330,plain,
% 0.92/1.14 (~(i26 = i40)),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 0.92/1.14 tff(8331,plain,
% 0.92/1.14 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(modus_ponens,[status(thm)],[8330, 8327])).
% 0.92/1.14 tff(8332,plain,
% 0.92/1.14 (select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850)) = select(store(a_1824, i18, e18), sk(a_1800, a_1850))),
% 0.92/1.14 inference(unit_resolution,[status(thm)],[1481, 8331])).
% 0.92/1.14 tff(8333,plain,
% 0.92/1.14 (select(store(a_1824, i18, e18), sk(a_1800, a_1850)) = select(store(store(a_1824, i18, e18), i26, e26), sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8332])).
% 0.92/1.14 tff(8334,plain,
% 0.92/1.14 ((i18 = sk(a_1800, a_1850)) <=> (i18 = i40)),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.14 tff(8335,plain,
% 0.92/1.14 ((i18 = i40) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.14 inference(symmetry,[status(thm)],[8334])).
% 0.92/1.14 tff(8336,plain,
% 0.92/1.14 ((~(i18 = i40)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.14 inference(monotonicity,[status(thm)],[8335])).
% 0.92/1.14 tff(8337,plain,
% 0.92/1.14 ((~(i18 = i40)) <=> (~(i18 = i40))),
% 0.92/1.14 inference(rewrite,[status(thm)],[])).
% 0.92/1.14 tff(8338,axiom,(~(i18 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp609')).
% 0.92/1.15 tff(8339,plain,
% 0.92/1.15 (~(i18 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 0.92/1.15 tff(8340,plain,
% 0.92/1.15 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8339, 8336])).
% 0.92/1.15 tff(8341,plain,
% 0.92/1.15 (select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850)) = select(store(a_1823, i47, e47), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1500, 8340])).
% 0.92/1.15 tff(8342,plain,
% 0.92/1.15 (select(store(a_1823, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1823, i47, e47), i18, e18), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8341])).
% 0.92/1.15 tff(8343,plain,
% 0.92/1.15 ((i17 = sk(a_1800, a_1850)) <=> (i17 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8344,plain,
% 0.92/1.15 ((i17 = i40) <=> (i17 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8343])).
% 0.92/1.15 tff(8345,plain,
% 0.92/1.15 ((~(i17 = i40)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8344])).
% 0.92/1.15 tff(8346,plain,
% 0.92/1.15 ((~(i17 = i40)) <=> (~(i17 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8347,axiom,(~(i17 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp641')).
% 0.92/1.15 tff(8348,plain,
% 0.92/1.15 (~(i17 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 0.92/1.15 tff(8349,plain,
% 0.92/1.15 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8348, 8345])).
% 0.92/1.15 tff(8350,plain,
% 0.92/1.15 (select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850)) = select(store(a_1820, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1557, 8349])).
% 0.92/1.15 tff(8351,plain,
% 0.92/1.15 (select(store(a_1820, i9, e9), sk(a_1800, a_1850)) = select(store(store(a_1820, i9, e9), i17, e17), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8350])).
% 0.92/1.15 tff(8352,plain,
% 0.92/1.15 ((i9 = sk(a_1800, a_1850)) <=> (i9 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8353,plain,
% 0.92/1.15 ((i9 = i40) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8352])).
% 0.92/1.15 tff(8354,plain,
% 0.92/1.15 ((~(i9 = i40)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8353])).
% 0.92/1.15 tff(8355,plain,
% 0.92/1.15 ((~(i9 = i40)) <=> (~(i9 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8356,axiom,(~(i9 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp933')).
% 0.92/1.15 tff(8357,plain,
% 0.92/1.15 (~(i9 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 0.92/1.15 tff(8358,plain,
% 0.92/1.15 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8357, 8354])).
% 0.92/1.15 tff(8359,plain,
% 0.92/1.15 (select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850)) = select(store(a_1819, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1576, 8358])).
% 0.92/1.15 tff(8360,plain,
% 0.92/1.15 (select(store(a_1819, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1819, i33, e33), i9, e9), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8359])).
% 0.92/1.15 tff(8361,plain,
% 0.92/1.15 ((i33 = sk(a_1800, a_1850)) <=> (i33 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8362,plain,
% 0.92/1.15 ((i33 = i40) <=> (i33 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8361])).
% 0.92/1.15 tff(8363,plain,
% 0.92/1.15 ((~(i33 = i40)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8362])).
% 0.92/1.15 tff(8364,plain,
% 0.92/1.15 ((~(i33 = i40)) <=> (~(i33 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8365,axiom,(~(i33 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp249')).
% 0.92/1.15 tff(8366,plain,
% 0.92/1.15 (~(i33 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8365, 8364])).
% 0.92/1.15 tff(8367,plain,
% 0.92/1.15 (~(i33 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8366, 8363])).
% 0.92/1.15 tff(8368,plain,
% 0.92/1.15 (select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850)) = select(store(a_1818, i7, e7), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1595, 8367])).
% 0.92/1.15 tff(8369,plain,
% 0.92/1.15 (select(store(a_1818, i7, e7), sk(a_1800, a_1850)) = select(store(store(a_1818, i7, e7), i33, e33), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8368])).
% 0.92/1.15 tff(8370,plain,
% 0.92/1.15 ((i7 = sk(a_1800, a_1850)) <=> (i7 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8371,plain,
% 0.92/1.15 ((i7 = i40) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8370])).
% 0.92/1.15 tff(8372,plain,
% 0.92/1.15 ((~(i7 = i40)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8371])).
% 0.92/1.15 tff(8373,plain,
% 0.92/1.15 ((~(i7 = i40)) <=> (~(i7 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8374,axiom,(~(i7 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1016')).
% 0.92/1.15 tff(8375,plain,
% 0.92/1.15 (~(i7 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8374, 8373])).
% 0.92/1.15 tff(8376,plain,
% 0.92/1.15 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8375, 8372])).
% 0.92/1.15 tff(8377,plain,
% 0.92/1.15 (select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850)) = select(store(a_1817, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1614, 8376])).
% 0.92/1.15 tff(8378,plain,
% 0.92/1.15 (select(store(a_1817, i15, e15), sk(a_1800, a_1850)) = select(store(store(a_1817, i15, e15), i7, e7), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8377])).
% 0.92/1.15 tff(8379,plain,
% 0.92/1.15 ((i15 = sk(a_1800, a_1850)) <=> (i15 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8380,plain,
% 0.92/1.15 ((i15 = i40) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8379])).
% 0.92/1.15 tff(8381,plain,
% 0.92/1.15 ((~(i15 = i40)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8380])).
% 0.92/1.15 tff(8382,plain,
% 0.92/1.15 ((~(i15 = i40)) <=> (~(i15 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8383,axiom,(~(i15 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp708')).
% 0.92/1.15 tff(8384,plain,
% 0.92/1.15 (~(i15 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8383, 8382])).
% 0.92/1.15 tff(8385,plain,
% 0.92/1.15 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8384, 8381])).
% 0.92/1.15 tff(8386,plain,
% 0.92/1.15 (select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850)) = select(store(a_1816, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1633, 8385])).
% 0.92/1.15 tff(8387,plain,
% 0.92/1.15 (select(store(a_1816, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1816, i27, e27), i15, e15), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8386])).
% 0.92/1.15 tff(8388,plain,
% 0.92/1.15 ((i27 = sk(a_1800, a_1850)) <=> (i27 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8389,plain,
% 0.92/1.15 ((i27 = i40) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8388])).
% 0.92/1.15 tff(8390,plain,
% 0.92/1.15 ((~(i27 = i40)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8389])).
% 0.92/1.15 tff(8391,plain,
% 0.92/1.15 ((~(i27 = i40)) <=> (~(i27 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8392,axiom,(~(i27 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp366')).
% 0.92/1.15 tff(8393,plain,
% 0.92/1.15 (~(i27 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 0.92/1.15 tff(8394,plain,
% 0.92/1.15 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8393, 8390])).
% 0.92/1.15 tff(8395,plain,
% 0.92/1.15 (select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850)) = select(store(a_1815, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1652, 8394])).
% 0.92/1.15 tff(8396,plain,
% 0.92/1.15 (select(store(a_1815, i6, e6), sk(a_1800, a_1850)) = select(store(store(a_1815, i6, e6), i27, e27), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8395])).
% 0.92/1.15 tff(8397,plain,
% 0.92/1.15 ((i6 = sk(a_1800, a_1850)) <=> (i6 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8398,plain,
% 0.92/1.15 ((i6 = i40) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8397])).
% 0.92/1.15 tff(8399,plain,
% 0.92/1.15 ((~(i6 = i40)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8398])).
% 0.92/1.15 tff(8400,plain,
% 0.92/1.15 ((~(i6 = i40)) <=> (~(i6 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8401,axiom,(~(i6 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1059')).
% 0.92/1.15 tff(8402,plain,
% 0.92/1.15 (~(i6 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 0.92/1.15 tff(8403,plain,
% 0.92/1.15 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8402, 8399])).
% 0.92/1.15 tff(8404,plain,
% 0.92/1.15 (select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850)) = select(store(a_1814, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1671, 8403])).
% 0.92/1.15 tff(8405,plain,
% 0.92/1.15 (select(store(a_1814, i13, e13), sk(a_1800, a_1850)) = select(store(store(a_1814, i13, e13), i6, e6), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8404])).
% 0.92/1.15 tff(8406,plain,
% 0.92/1.15 ((i13 = sk(a_1800, a_1850)) <=> (i13 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8407,plain,
% 0.92/1.15 ((i13 = i40) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8406])).
% 0.92/1.15 tff(8408,plain,
% 0.92/1.15 ((~(i13 = i40)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8407])).
% 0.92/1.15 tff(8409,plain,
% 0.92/1.15 ((~(i13 = i40)) <=> (~(i13 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8410,axiom,(~(i13 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp779')).
% 0.92/1.15 tff(8411,plain,
% 0.92/1.15 (~(i13 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 0.92/1.15 tff(8412,plain,
% 0.92/1.15 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8411, 8408])).
% 0.92/1.15 tff(8413,plain,
% 0.92/1.15 (select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850)) = select(store(a_1813, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1690, 8412])).
% 0.92/1.15 tff(8414,plain,
% 0.92/1.15 (select(store(a_1813, i14, e14), sk(a_1800, a_1850)) = select(store(store(a_1813, i14, e14), i13, e13), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8413])).
% 0.92/1.15 tff(8415,plain,
% 0.92/1.15 ((i14 = sk(a_1800, a_1850)) <=> (i14 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8416,plain,
% 0.92/1.15 ((i14 = i40) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8415])).
% 0.92/1.15 tff(8417,plain,
% 0.92/1.15 ((~(i14 = i40)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8416])).
% 0.92/1.15 tff(8418,plain,
% 0.92/1.15 ((~(i14 = i40)) <=> (~(i14 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8419,axiom,(~(i14 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp743')).
% 0.92/1.15 tff(8420,plain,
% 0.92/1.15 (~(i14 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 0.92/1.15 tff(8421,plain,
% 0.92/1.15 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8420, 8417])).
% 0.92/1.15 tff(8422,plain,
% 0.92/1.15 (select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850)) = select(store(a_1812, i49, e49), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1708, 8421])).
% 0.92/1.15 tff(8423,plain,
% 0.92/1.15 (select(store(a_1812, i49, e49), sk(a_1800, a_1850)) = select(store(store(a_1812, i49, e49), i14, e14), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8422])).
% 0.92/1.15 tff(8424,plain,
% 0.92/1.15 ((i8 = sk(a_1800, a_1850)) <=> (i8 = i40)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8229])).
% 0.92/1.15 tff(8425,plain,
% 0.92/1.15 ((i8 = i40) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8424])).
% 0.92/1.15 tff(8426,plain,
% 0.92/1.15 ((~(i8 = i40)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8425])).
% 0.92/1.15 tff(8427,plain,
% 0.92/1.15 ((~(i8 = i40)) <=> (~(i8 = i40))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8428,axiom,(~(i8 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp974')).
% 0.92/1.15 tff(8429,plain,
% 0.92/1.15 (~(i8 = i40)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 0.92/1.15 tff(8430,plain,
% 0.92/1.15 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8429, 8426])).
% 0.92/1.15 tff(8431,plain,
% 0.92/1.15 (select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850)) = select(store(a_1810, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[3692, 8430])).
% 0.92/1.15 tff(8432,plain,
% 0.92/1.15 (select(store(a_1810, i16, e16), sk(a_1800, a_1850)) = select(store(store(a_1810, i16, e16), i8, e8), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8431])).
% 0.92/1.15 tff(8433,plain,
% 0.92/1.15 (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = e_1853),
% 0.92/1.15 inference(transitivity,[status(thm)],[3700, 8432, 3681, 3675, 3670, 8423, 1698, 8414, 1679, 8405, 1660, 8396, 1641, 8387, 1622, 8378, 1603, 8369, 1584, 8360, 1565, 8351, 1546, 5224, 1527, 3579, 1508, 8342, 1489, 8333, 1470, 8324, 1451, 8315, 1432, 8306, 1413, 4898, 1394, 8297, 1375, 8291, 1356, 8282, 1337, 3496, 1318, 8273, 1299, 1293, 1288, 8264, 1269, 8255, 1250, 2675, 1231, 5684, 1212, 5121, 1193, 5119, 1174, 2506, 1155, 2504, 1136, 2502, 1117, 2356, 1098, 2798, 1079, 1998, 1060, 2605, 1042, 1036, 1034, 26])).
% 0.92/1.15 tff(8434,plain,
% 0.92/1.15 ((select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8433, 8247])).
% 0.92/1.15 tff(8435,plain,
% 0.92/1.15 ((select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 0.92/1.15 inference(transitivity,[status(thm)],[8434, 1])).
% 0.92/1.15 tff(8436,plain,
% 0.92/1.15 ((e_1852 = e_1853) <=> (select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850)))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8435])).
% 0.92/1.15 tff(8437,plain,
% 0.92/1.15 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850))))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8436])).
% 0.92/1.15 tff(8438,plain,
% 0.92/1.15 (~(select(store(store(a_1809, i40, e40), i16, e16), sk(a_1800, a_1850)) = select(store(a_1809, i40, e40), sk(a_1800, a_1850)))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[999, 8437])).
% 0.92/1.15 tff(8439,plain,
% 0.92/1.15 ($false),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[3711, 8438, 8236])).
% 0.92/1.15 tff(8440,plain,((~(i40 = sk(a_1800, a_1850))) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (i42 = sk(a_1800, a_1850)) | (i44 = sk(a_1800, a_1850)) | (i46 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.15 tff(8441,plain,
% 0.92/1.15 (i42 = sk(a_1800, a_1850)),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8440, 4465, 3856, 5118, 2505, 2503, 3875, 1775, 1774, 1035, 5120, 4805, 5683, 11])).
% 0.92/1.15 tff(8442,plain,
% 0.92/1.15 ((i40 = i42) <=> (i40 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8441])).
% 0.92/1.15 tff(8443,plain,
% 0.92/1.15 ((i40 = sk(a_1800, a_1850)) <=> (i40 = i42)),
% 0.92/1.15 inference(symmetry,[status(thm)],[8442])).
% 0.92/1.15 tff(8444,plain,
% 0.92/1.15 (i40 = i42),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[4465, 8443])).
% 0.92/1.15 tff(8445,plain,
% 0.92/1.15 ((~(i40 = i42)) <=> (~(i40 = i42))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8446,axiom,(~(i40 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp156')).
% 0.92/1.15 tff(8447,plain,
% 0.92/1.15 (~(i40 = i42)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 0.92/1.15 tff(8448,plain,
% 0.92/1.15 ($false),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8447, 8444])).
% 0.92/1.15 tff(8449,plain,((~(i40 = sk(a_1800, a_1850))) | (~(select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850)))) | (~(select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850)))) | (~(select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850)))) | (~(select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850)))) | (~(select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850)))) | (~(select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850)))) | (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))) | (i44 = sk(a_1800, a_1850)) | (~(select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850)))) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.15 tff(8450,plain,
% 0.92/1.15 (~(select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850)))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8449, 3893, 8221, 4373, 3386, 2578, 2904, 8228, 3961, 4099, 11])).
% 0.92/1.15 tff(8451,plain,
% 0.92/1.15 ($false),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1203, 17, 8450, 3855])).
% 0.92/1.15 tff(8452,plain,((i3 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.15 tff(8453,plain,
% 0.92/1.15 (i3 = sk(a_1800, a_1850)),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8452, 2900, 11, 3854, 2577, 2903])).
% 0.92/1.15 tff(8454,plain,
% 0.92/1.15 ((i3 = i5) <=> (sk(a_1800, a_1850) = i5)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.15 tff(8455,plain,
% 0.92/1.15 ((i3 = i5) <=> (i5 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(transitivity,[status(thm)],[8454, 112])).
% 0.92/1.15 tff(8456,plain,
% 0.92/1.15 ((~(i3 = i5)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8455])).
% 0.92/1.15 tff(8457,plain,
% 0.92/1.15 ((~(i3 = i5)) <=> (~(i3 = i5))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8458,axiom,(~(i3 = i5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1229')).
% 0.92/1.15 tff(8459,plain,
% 0.92/1.15 (~(i3 = i5)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 0.92/1.15 tff(8460,plain,
% 0.92/1.15 (~(i5 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8459, 8456])).
% 0.92/1.15 tff(8461,plain,
% 0.92/1.15 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1147, 8460])).
% 0.92/1.15 tff(8462,plain,
% 0.92/1.15 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8461])).
% 0.92/1.15 tff(8463,plain,
% 0.92/1.15 ((i3 = i12) <=> (sk(a_1800, a_1850) = i12)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.15 tff(8464,plain,
% 0.92/1.15 ((i3 = i12) <=> (i12 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(transitivity,[status(thm)],[8463, 245])).
% 0.92/1.15 tff(8465,plain,
% 0.92/1.15 ((~(i3 = i12)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8464])).
% 0.92/1.15 tff(8466,plain,
% 0.92/1.15 ((~(i3 = i12)) <=> (~(i3 = i12))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8467,axiom,(~(i3 = i12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1222')).
% 0.92/1.15 tff(8468,plain,
% 0.92/1.15 (~(i3 = i12)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8467, 8466])).
% 0.92/1.15 tff(8469,plain,
% 0.92/1.15 (~(i12 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8468, 8465])).
% 0.92/1.15 tff(8470,plain,
% 0.92/1.15 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[1165, 17, 8469])).
% 0.92/1.15 tff(8471,plain,
% 0.92/1.15 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8470])).
% 0.92/1.15 tff(8472,plain,
% 0.92/1.15 (sk(a_1800, a_1850) = i3),
% 0.92/1.15 inference(symmetry,[status(thm)],[8453])).
% 0.92/1.15 tff(8473,plain,
% 0.92/1.15 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), i3)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8472])).
% 0.92/1.15 tff(8474,plain,
% 0.92/1.15 (select(store(store(a_1839, i29, e29), i3, e3), i3) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 0.92/1.15 inference(symmetry,[status(thm)],[8473])).
% 0.92/1.15 tff(8475,plain,
% 0.92/1.15 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1839, i29, e29), i3, e3), i3) = e3)),
% 0.92/1.15 inference(quant_inst,[status(thm)],[])).
% 0.92/1.15 tff(8476,plain,
% 0.92/1.15 (select(store(store(a_1839, i29, e29), i3, e3), i3) = e3),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8475, 47])).
% 0.92/1.15 tff(8477,plain,
% 0.92/1.15 (e3 = select(store(store(a_1839, i29, e29), i3, e3), i3)),
% 0.92/1.15 inference(symmetry,[status(thm)],[8476])).
% 0.92/1.15 tff(8478,plain,
% 0.92/1.15 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1751, i2, e2), i3, e3), i3) = e3)),
% 0.92/1.15 inference(quant_inst,[status(thm)],[])).
% 0.92/1.15 tff(8479,plain,
% 0.92/1.15 (select(store(store(a_1751, i2, e2), i3, e3), i3) = e3),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[8478, 47])).
% 0.92/1.15 tff(8480,plain,
% 0.92/1.15 (select(store(store(a_1751, i2, e2), i3, e3), i3) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[90, 8453])).
% 0.92/1.15 tff(8481,plain,
% 0.92/1.15 (select(store(a_1752, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1751, i2, e2), i3, e3), i3)),
% 0.92/1.15 inference(symmetry,[status(thm)],[8480])).
% 0.92/1.15 tff(8482,plain,
% 0.92/1.15 (select(store(store(a_1752, i3, e3), i4, e4), sk(a_1800, a_1850)) = select(store(a_1752, i3, e3), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[103, 17, 3385])).
% 0.92/1.15 tff(8483,plain,
% 0.92/1.15 (select(store(store(a_1753, i4, e4), i5, e5), sk(a_1800, a_1850)) = select(store(a_1753, i4, e4), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[122, 17, 8460])).
% 0.92/1.15 tff(8484,plain,
% 0.92/1.15 ((i3 = i6) <=> (sk(a_1800, a_1850) = i6)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.15 tff(8485,plain,
% 0.92/1.15 ((i3 = i6) <=> (i6 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(transitivity,[status(thm)],[8484, 131])).
% 0.92/1.15 tff(8486,plain,
% 0.92/1.15 ((~(i3 = i6)) <=> (~(i6 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8485])).
% 0.92/1.15 tff(8487,plain,
% 0.92/1.15 ((~(i3 = i6)) <=> (~(i3 = i6))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8488,axiom,(~(i3 = i6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1228')).
% 0.92/1.15 tff(8489,plain,
% 0.92/1.15 (~(i3 = i6)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 0.92/1.15 tff(8490,plain,
% 0.92/1.15 (~(i6 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8489, 8486])).
% 0.92/1.15 tff(8491,plain,
% 0.92/1.15 (select(store(store(a_1754, i5, e5), i6, e6), sk(a_1800, a_1850)) = select(store(a_1754, i5, e5), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[141, 17, 8490])).
% 0.92/1.15 tff(8492,plain,
% 0.92/1.15 ((i3 = i7) <=> (sk(a_1800, a_1850) = i7)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.15 tff(8493,plain,
% 0.92/1.15 ((i3 = i7) <=> (i7 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(transitivity,[status(thm)],[8492, 150])).
% 0.92/1.15 tff(8494,plain,
% 0.92/1.15 ((~(i3 = i7)) <=> (~(i7 = sk(a_1800, a_1850)))),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8493])).
% 0.92/1.15 tff(8495,plain,
% 0.92/1.15 ((~(i3 = i7)) <=> (~(i3 = i7))),
% 0.92/1.15 inference(rewrite,[status(thm)],[])).
% 0.92/1.15 tff(8496,axiom,(~(i3 = i7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1227')).
% 0.92/1.15 tff(8497,plain,
% 0.92/1.15 (~(i3 = i7)),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8496, 8495])).
% 0.92/1.15 tff(8498,plain,
% 0.92/1.15 (~(i7 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(modus_ponens,[status(thm)],[8497, 8494])).
% 0.92/1.15 tff(8499,plain,
% 0.92/1.15 (select(store(store(a_1755, i6, e6), i7, e7), sk(a_1800, a_1850)) = select(store(a_1755, i6, e6), sk(a_1800, a_1850))),
% 0.92/1.15 inference(unit_resolution,[status(thm)],[160, 17, 8498])).
% 0.92/1.15 tff(8500,plain,
% 0.92/1.15 ((i3 = i8) <=> (sk(a_1800, a_1850) = i8)),
% 0.92/1.15 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.15 tff(8501,plain,
% 0.92/1.15 ((i3 = i8) <=> (i8 = sk(a_1800, a_1850))),
% 0.92/1.15 inference(transitivity,[status(thm)],[8500, 169])).
% 0.92/1.15 tff(8502,plain,
% 0.92/1.15 ((~(i3 = i8)) <=> (~(i8 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8501])).
% 0.92/1.16 tff(8503,plain,
% 0.92/1.16 ((~(i3 = i8)) <=> (~(i3 = i8))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8504,axiom,(~(i3 = i8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1226')).
% 0.92/1.16 tff(8505,plain,
% 0.92/1.16 (~(i3 = i8)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 0.92/1.16 tff(8506,plain,
% 0.92/1.16 (~(i8 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8505, 8502])).
% 0.92/1.16 tff(8507,plain,
% 0.92/1.16 (select(store(store(a_1756, i7, e7), i8, e8), sk(a_1800, a_1850)) = select(store(a_1756, i7, e7), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[179, 17, 8506])).
% 0.92/1.16 tff(8508,plain,
% 0.92/1.16 ((i3 = i9) <=> (sk(a_1800, a_1850) = i9)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8509,plain,
% 0.92/1.16 ((i3 = i9) <=> (i9 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8508, 188])).
% 0.92/1.16 tff(8510,plain,
% 0.92/1.16 ((~(i3 = i9)) <=> (~(i9 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8509])).
% 0.92/1.16 tff(8511,plain,
% 0.92/1.16 ((~(i3 = i9)) <=> (~(i3 = i9))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8512,axiom,(~(i3 = i9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1225')).
% 0.92/1.16 tff(8513,plain,
% 0.92/1.16 (~(i3 = i9)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8512, 8511])).
% 0.92/1.16 tff(8514,plain,
% 0.92/1.16 (~(i9 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8513, 8510])).
% 0.92/1.16 tff(8515,plain,
% 0.92/1.16 (select(store(store(a_1757, i8, e8), i9, e9), sk(a_1800, a_1850)) = select(store(a_1757, i8, e8), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[198, 17, 8514])).
% 0.92/1.16 tff(8516,plain,
% 0.92/1.16 ((i3 = i10) <=> (sk(a_1800, a_1850) = i10)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8517,plain,
% 0.92/1.16 ((i3 = i10) <=> (i10 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8516, 207])).
% 0.92/1.16 tff(8518,plain,
% 0.92/1.16 ((~(i3 = i10)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8517])).
% 0.92/1.16 tff(8519,plain,
% 0.92/1.16 ((~(i3 = i10)) <=> (~(i3 = i10))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8520,axiom,(~(i3 = i10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1224')).
% 0.92/1.16 tff(8521,plain,
% 0.92/1.16 (~(i3 = i10)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8520, 8519])).
% 0.92/1.16 tff(8522,plain,
% 0.92/1.16 (~(i10 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8521, 8518])).
% 0.92/1.16 tff(8523,plain,
% 0.92/1.16 (select(store(store(a_1758, i9, e9), i10, e10), sk(a_1800, a_1850)) = select(store(a_1758, i9, e9), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[217, 17, 8522])).
% 0.92/1.16 tff(8524,plain,
% 0.92/1.16 ((i3 = i11) <=> (sk(a_1800, a_1850) = i11)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8525,plain,
% 0.92/1.16 ((i3 = i11) <=> (i11 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8524, 226])).
% 0.92/1.16 tff(8526,plain,
% 0.92/1.16 ((~(i3 = i11)) <=> (~(i11 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8525])).
% 0.92/1.16 tff(8527,plain,
% 0.92/1.16 ((~(i3 = i11)) <=> (~(i3 = i11))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8528,axiom,(~(i3 = i11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1223')).
% 0.92/1.16 tff(8529,plain,
% 0.92/1.16 (~(i3 = i11)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8528, 8527])).
% 0.92/1.16 tff(8530,plain,
% 0.92/1.16 (~(i11 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8529, 8526])).
% 0.92/1.16 tff(8531,plain,
% 0.92/1.16 (select(store(store(a_1759, i10, e10), i11, e11), sk(a_1800, a_1850)) = select(store(a_1759, i10, e10), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[236, 17, 8530])).
% 0.92/1.16 tff(8532,plain,
% 0.92/1.16 (select(store(store(a_1760, i11, e11), i12, e12), sk(a_1800, a_1850)) = select(store(a_1760, i11, e11), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[259, 8469])).
% 0.92/1.16 tff(8533,plain,
% 0.92/1.16 ((i3 = i13) <=> (sk(a_1800, a_1850) = i13)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8534,plain,
% 0.92/1.16 ((i3 = i13) <=> (i13 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8533, 268])).
% 0.92/1.16 tff(8535,plain,
% 0.92/1.16 ((~(i3 = i13)) <=> (~(i13 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8534])).
% 0.92/1.16 tff(8536,plain,
% 0.92/1.16 ((~(i3 = i13)) <=> (~(i3 = i13))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8537,axiom,(~(i3 = i13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1221')).
% 0.92/1.16 tff(8538,plain,
% 0.92/1.16 (~(i3 = i13)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 0.92/1.16 tff(8539,plain,
% 0.92/1.16 (~(i13 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8538, 8535])).
% 0.92/1.16 tff(8540,plain,
% 0.92/1.16 (select(store(store(a_1761, i12, e12), i13, e13), sk(a_1800, a_1850)) = select(store(a_1761, i12, e12), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[278, 17, 8539])).
% 0.92/1.16 tff(8541,plain,
% 0.92/1.16 ((i3 = i14) <=> (sk(a_1800, a_1850) = i14)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8542,plain,
% 0.92/1.16 ((i3 = i14) <=> (i14 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8541, 287])).
% 0.92/1.16 tff(8543,plain,
% 0.92/1.16 ((~(i3 = i14)) <=> (~(i14 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8542])).
% 0.92/1.16 tff(8544,plain,
% 0.92/1.16 ((~(i3 = i14)) <=> (~(i3 = i14))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8545,axiom,(~(i3 = i14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1220')).
% 0.92/1.16 tff(8546,plain,
% 0.92/1.16 (~(i3 = i14)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8545, 8544])).
% 0.92/1.16 tff(8547,plain,
% 0.92/1.16 (~(i14 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8546, 8543])).
% 0.92/1.16 tff(8548,plain,
% 0.92/1.16 (select(store(store(a_1762, i13, e13), i14, e14), sk(a_1800, a_1850)) = select(store(a_1762, i13, e13), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[297, 17, 8547])).
% 0.92/1.16 tff(8549,plain,
% 0.92/1.16 ((i3 = i15) <=> (sk(a_1800, a_1850) = i15)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8550,plain,
% 0.92/1.16 ((i3 = i15) <=> (i15 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8549, 306])).
% 0.92/1.16 tff(8551,plain,
% 0.92/1.16 ((~(i3 = i15)) <=> (~(i15 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8550])).
% 0.92/1.16 tff(8552,plain,
% 0.92/1.16 ((~(i3 = i15)) <=> (~(i3 = i15))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8553,axiom,(~(i3 = i15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1219')).
% 0.92/1.16 tff(8554,plain,
% 0.92/1.16 (~(i3 = i15)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 0.92/1.16 tff(8555,plain,
% 0.92/1.16 (~(i15 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8554, 8551])).
% 0.92/1.16 tff(8556,plain,
% 0.92/1.16 (select(store(store(a_1763, i14, e14), i15, e15), sk(a_1800, a_1850)) = select(store(a_1763, i14, e14), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[316, 17, 8555])).
% 0.92/1.16 tff(8557,plain,
% 0.92/1.16 ((i3 = i16) <=> (sk(a_1800, a_1850) = i16)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8558,plain,
% 0.92/1.16 ((i3 = i16) <=> (i16 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8557, 325])).
% 0.92/1.16 tff(8559,plain,
% 0.92/1.16 ((~(i3 = i16)) <=> (~(i16 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8558])).
% 0.92/1.16 tff(8560,plain,
% 0.92/1.16 ((~(i3 = i16)) <=> (~(i3 = i16))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8561,axiom,(~(i3 = i16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1218')).
% 0.92/1.16 tff(8562,plain,
% 0.92/1.16 (~(i3 = i16)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8561, 8560])).
% 0.92/1.16 tff(8563,plain,
% 0.92/1.16 (~(i16 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8562, 8559])).
% 0.92/1.16 tff(8564,plain,
% 0.92/1.16 (select(store(store(a_1764, i15, e15), i16, e16), sk(a_1800, a_1850)) = select(store(a_1764, i15, e15), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[335, 17, 8563])).
% 0.92/1.16 tff(8565,plain,
% 0.92/1.16 ((i3 = i17) <=> (sk(a_1800, a_1850) = i17)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8566,plain,
% 0.92/1.16 ((i3 = i17) <=> (i17 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8565, 344])).
% 0.92/1.16 tff(8567,plain,
% 0.92/1.16 ((~(i3 = i17)) <=> (~(i17 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8566])).
% 0.92/1.16 tff(8568,plain,
% 0.92/1.16 ((~(i3 = i17)) <=> (~(i3 = i17))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8569,axiom,(~(i3 = i17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1217')).
% 0.92/1.16 tff(8570,plain,
% 0.92/1.16 (~(i3 = i17)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8569, 8568])).
% 0.92/1.16 tff(8571,plain,
% 0.92/1.16 (~(i17 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8570, 8567])).
% 0.92/1.16 tff(8572,plain,
% 0.92/1.16 (select(store(store(a_1765, i16, e16), i17, e17), sk(a_1800, a_1850)) = select(store(a_1765, i16, e16), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[354, 17, 8571])).
% 0.92/1.16 tff(8573,plain,
% 0.92/1.16 ((i3 = i18) <=> (sk(a_1800, a_1850) = i18)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8574,plain,
% 0.92/1.16 ((i3 = i18) <=> (i18 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8573, 363])).
% 0.92/1.16 tff(8575,plain,
% 0.92/1.16 ((~(i3 = i18)) <=> (~(i18 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8574])).
% 0.92/1.16 tff(8576,plain,
% 0.92/1.16 ((~(i3 = i18)) <=> (~(i3 = i18))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8577,axiom,(~(i3 = i18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1216')).
% 0.92/1.16 tff(8578,plain,
% 0.92/1.16 (~(i3 = i18)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8577, 8576])).
% 0.92/1.16 tff(8579,plain,
% 0.92/1.16 (~(i18 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8578, 8575])).
% 0.92/1.16 tff(8580,plain,
% 0.92/1.16 (select(store(store(a_1766, i17, e17), i18, e18), sk(a_1800, a_1850)) = select(store(a_1766, i17, e17), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[373, 17, 8579])).
% 0.92/1.16 tff(8581,plain,
% 0.92/1.16 ((i3 = i19) <=> (sk(a_1800, a_1850) = i19)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8582,plain,
% 0.92/1.16 ((i3 = i19) <=> (i19 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8581, 382])).
% 0.92/1.16 tff(8583,plain,
% 0.92/1.16 ((~(i3 = i19)) <=> (~(i19 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8582])).
% 0.92/1.16 tff(8584,plain,
% 0.92/1.16 ((~(i3 = i19)) <=> (~(i3 = i19))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8585,axiom,(~(i3 = i19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1215')).
% 0.92/1.16 tff(8586,plain,
% 0.92/1.16 (~(i3 = i19)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 0.92/1.16 tff(8587,plain,
% 0.92/1.16 (~(i19 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8586, 8583])).
% 0.92/1.16 tff(8588,plain,
% 0.92/1.16 (select(store(store(a_1767, i18, e18), i19, e19), sk(a_1800, a_1850)) = select(store(a_1767, i18, e18), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[392, 17, 8587])).
% 0.92/1.16 tff(8589,plain,
% 0.92/1.16 ((i3 = i20) <=> (sk(a_1800, a_1850) = i20)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8590,plain,
% 0.92/1.16 ((i3 = i20) <=> (i20 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8589, 401])).
% 0.92/1.16 tff(8591,plain,
% 0.92/1.16 ((~(i3 = i20)) <=> (~(i20 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8590])).
% 0.92/1.16 tff(8592,plain,
% 0.92/1.16 ((~(i3 = i20)) <=> (~(i3 = i20))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8593,axiom,(~(i3 = i20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1214')).
% 0.92/1.16 tff(8594,plain,
% 0.92/1.16 (~(i3 = i20)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8593, 8592])).
% 0.92/1.16 tff(8595,plain,
% 0.92/1.16 (~(i20 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8594, 8591])).
% 0.92/1.16 tff(8596,plain,
% 0.92/1.16 (select(store(store(a_1768, i19, e19), i20, e20), sk(a_1800, a_1850)) = select(store(a_1768, i19, e19), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[411, 17, 8595])).
% 0.92/1.16 tff(8597,plain,
% 0.92/1.16 ((i3 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8598,plain,
% 0.92/1.16 ((i3 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8597, 439])).
% 0.92/1.16 tff(8599,plain,
% 0.92/1.16 ((~(i3 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8598])).
% 0.92/1.16 tff(8600,plain,
% 0.92/1.16 ((~(i3 = i22)) <=> (~(i3 = i22))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8601,axiom,(~(i3 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1212')).
% 0.92/1.16 tff(8602,plain,
% 0.92/1.16 (~(i3 = i22)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8601, 8600])).
% 0.92/1.16 tff(8603,plain,
% 0.92/1.16 (~(i22 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8602, 8599])).
% 0.92/1.16 tff(8604,plain,
% 0.92/1.16 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[449, 17, 8603])).
% 0.92/1.16 tff(8605,plain,
% 0.92/1.16 ((i3 = i23) <=> (sk(a_1800, a_1850) = i23)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8606,plain,
% 0.92/1.16 ((i3 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8605, 458])).
% 0.92/1.16 tff(8607,plain,
% 0.92/1.16 ((~(i3 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8606])).
% 0.92/1.16 tff(8608,plain,
% 0.92/1.16 ((~(i3 = i23)) <=> (~(i3 = i23))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8609,axiom,(~(i3 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1211')).
% 0.92/1.16 tff(8610,plain,
% 0.92/1.16 (~(i3 = i23)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 0.92/1.16 tff(8611,plain,
% 0.92/1.16 (~(i23 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8610, 8607])).
% 0.92/1.16 tff(8612,plain,
% 0.92/1.16 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[468, 17, 8611])).
% 0.92/1.16 tff(8613,plain,
% 0.92/1.16 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[486, 17, 2923])).
% 0.92/1.16 tff(8614,plain,
% 0.92/1.16 ((i3 = i25) <=> (sk(a_1800, a_1850) = i25)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8615,plain,
% 0.92/1.16 ((i3 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8614, 495])).
% 0.92/1.16 tff(8616,plain,
% 0.92/1.16 ((~(i3 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8615])).
% 0.92/1.16 tff(8617,plain,
% 0.92/1.16 ((~(i3 = i25)) <=> (~(i3 = i25))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8618,axiom,(~(i3 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1209')).
% 0.92/1.16 tff(8619,plain,
% 0.92/1.16 (~(i3 = i25)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8618, 8617])).
% 0.92/1.16 tff(8620,plain,
% 0.92/1.16 (~(i25 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8619, 8616])).
% 0.92/1.16 tff(8621,plain,
% 0.92/1.16 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[505, 17, 8620])).
% 0.92/1.16 tff(8622,plain,
% 0.92/1.16 ((i3 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8623,plain,
% 0.92/1.16 ((i3 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8622, 514])).
% 0.92/1.16 tff(8624,plain,
% 0.92/1.16 ((~(i3 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8623])).
% 0.92/1.16 tff(8625,plain,
% 0.92/1.16 ((~(i3 = i26)) <=> (~(i3 = i26))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8626,axiom,(~(i3 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1208')).
% 0.92/1.16 tff(8627,plain,
% 0.92/1.16 (~(i3 = i26)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 0.92/1.16 tff(8628,plain,
% 0.92/1.16 (~(i26 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8627, 8624])).
% 0.92/1.16 tff(8629,plain,
% 0.92/1.16 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[524, 17, 8628])).
% 0.92/1.16 tff(8630,plain,
% 0.92/1.16 ((i3 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8631,plain,
% 0.92/1.16 ((i3 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8630, 533])).
% 0.92/1.16 tff(8632,plain,
% 0.92/1.16 ((~(i3 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8631])).
% 0.92/1.16 tff(8633,plain,
% 0.92/1.16 ((~(i3 = i27)) <=> (~(i3 = i27))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8634,axiom,(~(i3 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1207')).
% 0.92/1.16 tff(8635,plain,
% 0.92/1.16 (~(i3 = i27)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 0.92/1.16 tff(8636,plain,
% 0.92/1.16 (~(i27 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8635, 8632])).
% 0.92/1.16 tff(8637,plain,
% 0.92/1.16 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[543, 17, 8636])).
% 0.92/1.16 tff(8638,plain,
% 0.92/1.16 ((i3 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8639,plain,
% 0.92/1.16 ((i3 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8638, 552])).
% 0.92/1.16 tff(8640,plain,
% 0.92/1.16 ((~(i3 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8639])).
% 0.92/1.16 tff(8641,plain,
% 0.92/1.16 ((~(i3 = i28)) <=> (~(i3 = i28))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8642,axiom,(~(i3 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1206')).
% 0.92/1.16 tff(8643,plain,
% 0.92/1.16 (~(i3 = i28)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 0.92/1.16 tff(8644,plain,
% 0.92/1.16 (~(i28 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8643, 8640])).
% 0.92/1.16 tff(8645,plain,
% 0.92/1.16 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[562, 17, 8644])).
% 0.92/1.16 tff(8646,plain,
% 0.92/1.16 ((i3 = i29) <=> (sk(a_1800, a_1850) = i29)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8647,plain,
% 0.92/1.16 ((i3 = i29) <=> (i29 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8646, 571])).
% 0.92/1.16 tff(8648,plain,
% 0.92/1.16 ((~(i3 = i29)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8647])).
% 0.92/1.16 tff(8649,plain,
% 0.92/1.16 ((~(i3 = i29)) <=> (~(i3 = i29))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8650,axiom,(~(i3 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1205')).
% 0.92/1.16 tff(8651,plain,
% 0.92/1.16 (~(i3 = i29)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 0.92/1.16 tff(8652,plain,
% 0.92/1.16 (~(i29 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8651, 8648])).
% 0.92/1.16 tff(8653,plain,
% 0.92/1.16 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[585, 8652])).
% 0.92/1.16 tff(8654,plain,
% 0.92/1.16 ((i3 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8655,plain,
% 0.92/1.16 ((i3 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8654, 594])).
% 0.92/1.16 tff(8656,plain,
% 0.92/1.16 ((~(i3 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8655])).
% 0.92/1.16 tff(8657,plain,
% 0.92/1.16 ((~(i3 = i30)) <=> (~(i3 = i30))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8658,axiom,(~(i3 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1204')).
% 0.92/1.16 tff(8659,plain,
% 0.92/1.16 (~(i3 = i30)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8658, 8657])).
% 0.92/1.16 tff(8660,plain,
% 0.92/1.16 (~(i30 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8659, 8656])).
% 0.92/1.16 tff(8661,plain,
% 0.92/1.16 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[604, 17, 8660])).
% 0.92/1.16 tff(8662,plain,
% 0.92/1.16 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[623, 17, 2911])).
% 0.92/1.16 tff(8663,plain,
% 0.92/1.16 ((i3 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8664,plain,
% 0.92/1.16 ((i3 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8663, 651])).
% 0.92/1.16 tff(8665,plain,
% 0.92/1.16 ((~(i3 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8664])).
% 0.92/1.16 tff(8666,plain,
% 0.92/1.16 ((~(i3 = i33)) <=> (~(i3 = i33))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8667,axiom,(~(i3 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1201')).
% 0.92/1.16 tff(8668,plain,
% 0.92/1.16 (~(i3 = i33)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 0.92/1.16 tff(8669,plain,
% 0.92/1.16 (~(i33 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8668, 8665])).
% 0.92/1.16 tff(8670,plain,
% 0.92/1.16 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[661, 17, 8669])).
% 0.92/1.16 tff(8671,plain,
% 0.92/1.16 ((i3 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8672,plain,
% 0.92/1.16 ((i3 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8671, 670])).
% 0.92/1.16 tff(8673,plain,
% 0.92/1.16 ((~(i3 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8672])).
% 0.92/1.16 tff(8674,plain,
% 0.92/1.16 ((~(i3 = i34)) <=> (~(i3 = i34))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8675,axiom,(~(i3 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1200')).
% 0.92/1.16 tff(8676,plain,
% 0.92/1.16 (~(i3 = i34)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8675, 8674])).
% 0.92/1.16 tff(8677,plain,
% 0.92/1.16 (~(i34 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8676, 8673])).
% 0.92/1.16 tff(8678,plain,
% 0.92/1.16 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[680, 17, 8677])).
% 0.92/1.16 tff(8679,plain,
% 0.92/1.16 ((i3 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8680,plain,
% 0.92/1.16 ((i3 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8679, 708])).
% 0.92/1.16 tff(8681,plain,
% 0.92/1.16 ((~(i3 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8680])).
% 0.92/1.16 tff(8682,plain,
% 0.92/1.16 ((~(i3 = i36)) <=> (~(i3 = i36))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8683,axiom,(~(i3 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1198')).
% 0.92/1.16 tff(8684,plain,
% 0.92/1.16 (~(i3 = i36)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 0.92/1.16 tff(8685,plain,
% 0.92/1.16 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8684, 8681])).
% 0.92/1.16 tff(8686,plain,
% 0.92/1.16 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[718, 17, 8685])).
% 0.92/1.16 tff(8687,plain,
% 0.92/1.16 ((i3 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8688,plain,
% 0.92/1.16 ((i3 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8687, 746])).
% 0.92/1.16 tff(8689,plain,
% 0.92/1.16 ((~(i3 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8688])).
% 0.92/1.16 tff(8690,plain,
% 0.92/1.16 ((~(i3 = i38)) <=> (~(i3 = i38))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8691,axiom,(~(i3 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1196')).
% 0.92/1.16 tff(8692,plain,
% 0.92/1.16 (~(i3 = i38)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8691, 8690])).
% 0.92/1.16 tff(8693,plain,
% 0.92/1.16 (~(i38 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8692, 8689])).
% 0.92/1.16 tff(8694,plain,
% 0.92/1.16 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[760, 8693])).
% 0.92/1.16 tff(8695,plain,
% 0.92/1.16 ((i3 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8696,plain,
% 0.92/1.16 ((i3 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8695, 769])).
% 0.92/1.16 tff(8697,plain,
% 0.92/1.16 ((~(i3 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8696])).
% 0.92/1.16 tff(8698,plain,
% 0.92/1.16 ((~(i3 = i39)) <=> (~(i3 = i39))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8699,axiom,(~(i3 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1195')).
% 0.92/1.16 tff(8700,plain,
% 0.92/1.16 (~(i3 = i39)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 0.92/1.16 tff(8701,plain,
% 0.92/1.16 (~(i39 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8700, 8697])).
% 0.92/1.16 tff(8702,plain,
% 0.92/1.16 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[779, 17, 8701])).
% 0.92/1.16 tff(8703,plain,
% 0.92/1.16 ((i3 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8704,plain,
% 0.92/1.16 ((i3 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8703, 788])).
% 0.92/1.16 tff(8705,plain,
% 0.92/1.16 ((~(i3 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8704])).
% 0.92/1.16 tff(8706,plain,
% 0.92/1.16 ((~(i3 = i40)) <=> (~(i3 = i40))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8707,axiom,(~(i3 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1194')).
% 0.92/1.16 tff(8708,plain,
% 0.92/1.16 (~(i3 = i40)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 0.92/1.16 tff(8709,plain,
% 0.92/1.16 (~(i40 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8708, 8705])).
% 0.92/1.16 tff(8710,plain,
% 0.92/1.16 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[802, 8709])).
% 0.92/1.16 tff(8711,plain,
% 0.92/1.16 ((i3 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8712,plain,
% 0.92/1.16 ((i3 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8711, 811])).
% 0.92/1.16 tff(8713,plain,
% 0.92/1.16 ((~(i3 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8712])).
% 0.92/1.16 tff(8714,plain,
% 0.92/1.16 ((~(i3 = i41)) <=> (~(i3 = i41))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8715,axiom,(~(i3 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1193')).
% 0.92/1.16 tff(8716,plain,
% 0.92/1.16 (~(i3 = i41)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8715, 8714])).
% 0.92/1.16 tff(8717,plain,
% 0.92/1.16 (~(i41 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8716, 8713])).
% 0.92/1.16 tff(8718,plain,
% 0.92/1.16 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[821, 17, 8717])).
% 0.92/1.16 tff(8719,plain,
% 0.92/1.16 ((i3 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8720,plain,
% 0.92/1.16 ((i3 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8719, 830])).
% 0.92/1.16 tff(8721,plain,
% 0.92/1.16 ((~(i3 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8720])).
% 0.92/1.16 tff(8722,plain,
% 0.92/1.16 ((~(i3 = i42)) <=> (~(i3 = i42))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8723,axiom,(~(i3 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1192')).
% 0.92/1.16 tff(8724,plain,
% 0.92/1.16 (~(i3 = i42)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8723, 8722])).
% 0.92/1.16 tff(8725,plain,
% 0.92/1.16 (~(i42 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8724, 8721])).
% 0.92/1.16 tff(8726,plain,
% 0.92/1.16 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[840, 17, 8725])).
% 0.92/1.16 tff(8727,plain,
% 0.92/1.16 ((i3 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8453])).
% 0.92/1.16 tff(8728,plain,
% 0.92/1.16 ((i3 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8727, 849])).
% 0.92/1.16 tff(8729,plain,
% 0.92/1.16 ((~(i3 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8728])).
% 0.92/1.16 tff(8730,plain,
% 0.92/1.16 (~(i43 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[4836, 8729])).
% 0.92/1.16 tff(8731,plain,
% 0.92/1.16 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[1864, 8730])).
% 0.92/1.16 tff(8732,plain,
% 0.92/1.16 (e_1852 = e_1853),
% 0.92/1.16 inference(transitivity,[status(thm)],[4, 995, 22, 982, 2910, 962, 5794, 943, 2922, 924, 2930, 905, 3847, 886, 3962, 867, 8731, 848, 8726, 829, 8718, 810, 8710, 787, 8702, 768, 8694, 745, 4048, 726, 8686, 707, 4059, 688, 8678, 669, 8670, 650, 7592, 631, 8662, 612, 8661, 593, 8653, 570, 8645, 551, 8637, 532, 8629, 513, 8621, 494, 8613, 476, 8612, 457, 8604, 438, 3195, 419, 8596, 400, 8588, 381, 8580, 362, 8572, 343, 8564, 324, 8556, 305, 8548, 286, 8540, 267, 8532, 244, 8531, 225, 8523, 206, 8515, 187, 8507, 168, 8499, 149, 8491, 130, 8483, 111, 8482, 8481, 8479, 8477, 8474, 5823, 3894, 5820, 8471, 4604, 8462, 3853, 3850, 3390, 3387, 2928, 2925, 2920, 2917, 2916, 2913, 2908, 2905, 2902, 26])).
% 0.92/1.16 tff(8733,plain,
% 0.92/1.16 ($false),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[999, 8732])).
% 0.92/1.16 tff(8734,plain,((i37 = sk(a_1800, a_1850)) | (i21 = sk(a_1800, a_1850)) | (i35 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850)) | (i1 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.16 tff(8735,plain,
% 0.92/1.16 (i35 = sk(a_1800, a_1850)),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[8734, 2577, 1002, 11, 2900])).
% 0.92/1.16 tff(8736,plain,
% 0.92/1.16 ((i35 = i45) <=> (sk(a_1800, a_1850) = i45)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.16 tff(8737,plain,
% 0.92/1.16 ((i35 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8736, 887])).
% 0.92/1.16 tff(8738,plain,
% 0.92/1.16 ((~(i35 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8737])).
% 0.92/1.16 tff(8739,plain,
% 0.92/1.16 (~(i45 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[3491, 8738])).
% 0.92/1.16 tff(8740,plain,
% 0.92/1.16 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[897, 17, 8739])).
% 0.92/1.16 tff(8741,plain,
% 0.92/1.16 ((i35 = i44) <=> (i35 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[3862])).
% 0.92/1.16 tff(8742,plain,
% 0.92/1.16 ((i35 = sk(a_1800, a_1850)) <=> (i35 = i44)),
% 0.92/1.16 inference(symmetry,[status(thm)],[8741])).
% 0.92/1.16 tff(8743,plain,
% 0.92/1.16 (i35 = i44),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[6329, 8742])).
% 0.92/1.16 tff(8744,plain,
% 0.92/1.16 ((~(i35 = i44)) <=> (~(i35 = i44))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8745,axiom,(~(i35 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp214')).
% 0.92/1.16 tff(8746,plain,
% 0.92/1.16 (~(i35 = i44)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 0.92/1.16 tff(8747,plain,
% 0.92/1.16 ($false),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[8746, 8743])).
% 0.92/1.16 tff(8748,plain,((~(i44 = sk(a_1800, a_1850))) | (~(i35 = sk(a_1800, a_1850)))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.16 tff(8749,plain,
% 0.92/1.16 (~(i44 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[8748, 8735])).
% 0.92/1.16 tff(8750,plain,
% 0.92/1.16 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[878, 17, 8749])).
% 0.92/1.16 tff(8751,plain,
% 0.92/1.16 ((i35 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.16 tff(8752,plain,
% 0.92/1.16 ((i35 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8751, 849])).
% 0.92/1.16 tff(8753,plain,
% 0.92/1.16 ((~(i35 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8752])).
% 0.92/1.16 tff(8754,plain,
% 0.92/1.16 (~(i43 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[4869, 8753])).
% 0.92/1.16 tff(8755,plain,
% 0.92/1.16 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[859, 17, 8754])).
% 0.92/1.16 tff(8756,plain,
% 0.92/1.16 ((i35 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.16 tff(8757,plain,
% 0.92/1.16 ((i35 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(transitivity,[status(thm)],[8756, 830])).
% 0.92/1.16 tff(8758,plain,
% 0.92/1.16 ((~(i35 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8757])).
% 0.92/1.16 tff(8759,plain,
% 0.92/1.16 ((~(i35 = i42)) <=> (~(i35 = i42))),
% 0.92/1.16 inference(rewrite,[status(thm)],[])).
% 0.92/1.16 tff(8760,axiom,(~(i35 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp216')).
% 0.92/1.16 tff(8761,plain,
% 0.92/1.16 (~(i35 = i42)),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8760, 8759])).
% 0.92/1.16 tff(8762,plain,
% 0.92/1.16 (~(i42 = sk(a_1800, a_1850))),
% 0.92/1.16 inference(modus_ponens,[status(thm)],[8761, 8758])).
% 0.92/1.16 tff(8763,plain,
% 0.92/1.16 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 0.92/1.16 inference(unit_resolution,[status(thm)],[840, 17, 8762])).
% 0.92/1.16 tff(8764,plain,
% 0.92/1.16 ((i35 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 0.92/1.16 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.16 tff(8765,plain,
% 0.92/1.17 ((i35 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8764, 811])).
% 0.92/1.17 tff(8766,plain,
% 0.92/1.17 ((~(i35 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8765])).
% 0.92/1.17 tff(8767,plain,
% 0.92/1.17 (~(i41 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[5150, 8766])).
% 0.92/1.17 tff(8768,plain,
% 0.92/1.17 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[821, 17, 8767])).
% 0.92/1.17 tff(8769,plain,
% 0.92/1.17 ((i35 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8770,plain,
% 0.92/1.17 ((i35 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8769, 788])).
% 0.92/1.17 tff(8771,plain,
% 0.92/1.17 ((~(i35 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8770])).
% 0.92/1.17 tff(8772,plain,
% 0.92/1.17 (~(i40 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8270, 8771])).
% 0.92/1.17 tff(8773,plain,
% 0.92/1.17 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[802, 8772])).
% 0.92/1.17 tff(8774,plain,
% 0.92/1.17 ((i35 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8775,plain,
% 0.92/1.17 ((i35 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8774, 769])).
% 0.92/1.17 tff(8776,plain,
% 0.92/1.17 ((~(i35 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8775])).
% 0.92/1.17 tff(8777,plain,
% 0.92/1.17 ((~(i35 = i39)) <=> (~(i35 = i39))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8778,axiom,(~(i35 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp219')).
% 0.92/1.17 tff(8779,plain,
% 0.92/1.17 (~(i35 = i39)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 0.92/1.17 tff(8780,plain,
% 0.92/1.17 (~(i39 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8779, 8776])).
% 0.92/1.17 tff(8781,plain,
% 0.92/1.17 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[779, 17, 8780])).
% 0.92/1.17 tff(8782,plain,
% 0.92/1.17 ((i35 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8783,plain,
% 0.92/1.17 ((i35 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8782, 746])).
% 0.92/1.17 tff(8784,plain,
% 0.92/1.17 ((~(i35 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8783])).
% 0.92/1.17 tff(8785,plain,
% 0.92/1.17 ((~(i35 = i38)) <=> (~(i35 = i38))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8786,axiom,(~(i35 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp220')).
% 0.92/1.17 tff(8787,plain,
% 0.92/1.17 (~(i35 = i38)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8786, 8785])).
% 0.92/1.17 tff(8788,plain,
% 0.92/1.17 (~(i38 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8787, 8784])).
% 0.92/1.17 tff(8789,plain,
% 0.92/1.17 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[760, 8788])).
% 0.92/1.17 tff(8790,plain,
% 0.92/1.17 ((i10 = i35) <=> (i10 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8791,plain,
% 0.92/1.17 ((~(i10 = i35)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8790])).
% 0.92/1.17 tff(8792,plain,
% 0.92/1.17 (~(i10 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[5478, 8791])).
% 0.92/1.17 tff(8793,plain,
% 0.92/1.17 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1260, 17, 8792])).
% 0.92/1.17 tff(8794,assumption,(~(select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850)))), introduced(assumption)).
% 0.92/1.17 tff(8795,plain,
% 0.92/1.17 ($false),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1291, 17, 11, 8794])).
% 0.92/1.17 tff(8796,plain,((select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.17 tff(8797,plain,
% 0.92/1.17 (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(a_1834, i35, e35), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[8796, 11])).
% 0.92/1.17 tff(8798,plain,
% 0.92/1.17 ((i3 = i35) <=> (i3 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8799,plain,
% 0.92/1.17 ((~(i3 = i35)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8798])).
% 0.92/1.17 tff(8800,plain,
% 0.92/1.17 ((~(i3 = i35)) <=> (~(i3 = i35))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8801,axiom,(~(i3 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1199')).
% 0.92/1.17 tff(8802,plain,
% 0.92/1.17 (~(i3 = i35)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 0.92/1.17 tff(8803,plain,
% 0.92/1.17 (~(i3 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8802, 8799])).
% 0.92/1.17 tff(8804,plain,
% 0.92/1.17 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1203, 17, 8803])).
% 0.92/1.17 tff(8805,plain,
% 0.92/1.17 ((i29 = i35) <=> (i29 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8806,plain,
% 0.92/1.17 ((~(i29 = i35)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8805])).
% 0.92/1.17 tff(8807,plain,
% 0.92/1.17 ((~(i29 = i35)) <=> (~(i29 = i35))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8808,axiom,(~(i29 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp328')).
% 0.92/1.17 tff(8809,plain,
% 0.92/1.17 (~(i29 = i35)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 0.92/1.17 tff(8810,plain,
% 0.92/1.17 (~(i29 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8809, 8806])).
% 0.92/1.17 tff(8811,plain,
% 0.92/1.17 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[4098, 8810])).
% 0.92/1.17 tff(8812,plain,
% 0.92/1.17 ((i12 = i35) <=> (i12 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8813,plain,
% 0.92/1.17 ((~(i12 = i35)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8812])).
% 0.92/1.17 tff(8814,plain,
% 0.92/1.17 ((~(i12 = i35)) <=> (~(i12 = i35))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8815,axiom,(~(i12 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp821')).
% 0.92/1.17 tff(8816,plain,
% 0.92/1.17 (~(i12 = i35)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8815, 8814])).
% 0.92/1.17 tff(8817,plain,
% 0.92/1.17 (~(i12 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8816, 8813])).
% 0.92/1.17 tff(8818,plain,
% 0.92/1.17 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1165, 17, 8817])).
% 0.92/1.17 tff(8819,plain,
% 0.92/1.17 ((i5 = i35) <=> (i5 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8820,plain,
% 0.92/1.17 ((~(i5 = i35)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8819])).
% 0.92/1.17 tff(8821,plain,
% 0.92/1.17 ((~(i5 = i35)) <=> (~(i5 = i35))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8822,axiom,(~(i5 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1108')).
% 0.92/1.17 tff(8823,plain,
% 0.92/1.17 (~(i5 = i35)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8822, 8821])).
% 0.92/1.17 tff(8824,plain,
% 0.92/1.17 (~(i5 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8823, 8820])).
% 0.92/1.17 tff(8825,plain,
% 0.92/1.17 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1146, 17, 8824])).
% 0.92/1.17 tff(8826,plain,
% 0.92/1.17 ((i32 = i35) <=> (i32 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8827,plain,
% 0.92/1.17 ((~(i32 = i35)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8826])).
% 0.92/1.17 tff(8828,plain,
% 0.92/1.17 (~(i32 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[2457, 8827])).
% 0.92/1.17 tff(8829,plain,
% 0.92/1.17 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1127, 17, 8828])).
% 0.92/1.17 tff(8830,plain,
% 0.92/1.17 ((i4 = i35) <=> (i4 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8831,plain,
% 0.92/1.17 ((~(i4 = i35)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8830])).
% 0.92/1.17 tff(8832,plain,
% 0.92/1.17 (~(i4 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[3066, 8831])).
% 0.92/1.17 tff(8833,plain,
% 0.92/1.17 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1108, 17, 8832])).
% 0.92/1.17 tff(8834,plain,
% 0.92/1.17 ((i35 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8835,plain,
% 0.92/1.17 ((i35 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8834, 708])).
% 0.92/1.17 tff(8836,plain,
% 0.92/1.17 ((~(i35 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8835])).
% 0.92/1.17 tff(8837,plain,
% 0.92/1.17 (~(i36 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[6110, 8836])).
% 0.92/1.17 tff(8838,plain,
% 0.92/1.17 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[718, 17, 8837])).
% 0.92/1.17 tff(8839,plain,
% 0.92/1.17 ((i2 = i35) <=> (i2 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8735])).
% 0.92/1.17 tff(8840,plain,
% 0.92/1.17 ((~(i2 = i35)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8839])).
% 0.92/1.17 tff(8841,plain,
% 0.92/1.17 (~(i2 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[6077, 8840])).
% 0.92/1.17 tff(8842,plain,
% 0.92/1.17 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1279, 17, 8841])).
% 0.92/1.17 tff(8843,plain,
% 0.92/1.17 ($false),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[6343, 8842, 8838, 1712, 2578, 8735, 8833, 8829, 8825, 8818, 8811, 3893, 8804, 8797, 8793, 4048, 8789, 8781, 8773, 8768, 8763, 8755, 8750, 8740, 2899, 2793, 1007, 22])).
% 0.92/1.17 tff(8844,plain,((i21 = sk(a_1800, a_1850)) | (i37 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 0.92/1.17 tff(8845,plain,
% 0.92/1.17 (i21 = sk(a_1800, a_1850)),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[8844, 2576, 11])).
% 0.92/1.17 tff(8846,plain,
% 0.92/1.17 ((i21 = i24) <=> (sk(a_1800, a_1850) = i24)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8845])).
% 0.92/1.17 tff(8847,plain,
% 0.92/1.17 ((i21 = i24) <=> (i24 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8846, 10])).
% 0.92/1.17 tff(8848,plain,
% 0.92/1.17 ((i24 = sk(a_1800, a_1850)) <=> (i21 = i24)),
% 0.92/1.17 inference(symmetry,[status(thm)],[8847])).
% 0.92/1.17 tff(8849,plain,
% 0.92/1.17 (i21 = sk(a_1800, a_1850)),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[8844, 2900, 11])).
% 0.92/1.17 tff(8850,plain,
% 0.92/1.17 ((i21 = i22) <=> (sk(a_1800, a_1850) = i22)),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8849])).
% 0.92/1.17 tff(8851,plain,
% 0.92/1.17 ((i21 = i22) <=> (i22 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(transitivity,[status(thm)],[8850, 439])).
% 0.92/1.17 tff(8852,plain,
% 0.92/1.17 ((~(i21 = i22)) <=> (~(i22 = sk(a_1800, a_1850)))),
% 0.92/1.17 inference(monotonicity,[status(thm)],[8851])).
% 0.92/1.17 tff(8853,plain,
% 0.92/1.17 ((~(i21 = i22)) <=> (~(i21 = i22))),
% 0.92/1.17 inference(rewrite,[status(thm)],[])).
% 0.92/1.17 tff(8854,axiom,(~(i21 = i22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp537')).
% 0.92/1.17 tff(8855,plain,
% 0.92/1.17 (~(i21 = i22)),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8854, 8853])).
% 0.92/1.17 tff(8856,plain,
% 0.92/1.17 (~(i22 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(modus_ponens,[status(thm)],[8855, 8852])).
% 0.92/1.17 tff(8857,plain,
% 0.92/1.17 (select(store(a_1848, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850))),
% 0.92/1.17 inference(symmetry,[status(thm)],[1007])).
% 0.92/1.17 tff(8858,plain,
% 0.92/1.17 (~(i31 = sk(a_1800, a_1850))),
% 0.92/1.17 inference(unit_resolution,[status(thm)],[1994, 1712, 1007, 22])).
% 0.92/1.17 tff(8859,plain,
% 0.92/1.17 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[1051, 17, 8858])).
% 1.01/1.17 tff(8860,plain,
% 1.01/1.17 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8859])).
% 1.01/1.17 tff(8861,plain,
% 1.01/1.17 (select(store(store(a_1846, i24, e24), i21, e21), i21) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8862,plain,
% 1.01/1.17 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1846, i24, e24), i21, e21), i21) = e21)),
% 1.01/1.17 inference(quant_inst,[status(thm)],[])).
% 1.01/1.17 tff(8863,plain,
% 1.01/1.17 (select(store(store(a_1846, i24, e24), i21, e21), i21) = e21),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8862, 47])).
% 1.01/1.17 tff(8864,plain,
% 1.01/1.17 (e21 = select(store(store(a_1846, i24, e24), i21, e21), i21)),
% 1.01/1.17 inference(symmetry,[status(thm)],[8863])).
% 1.01/1.17 tff(8865,plain,
% 1.01/1.17 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1769, i20, e20), i21, e21), i21) = e21)),
% 1.01/1.17 inference(quant_inst,[status(thm)],[])).
% 1.01/1.17 tff(8866,plain,
% 1.01/1.17 (select(store(store(a_1769, i20, e20), i21, e21), i21) = e21),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8865, 47])).
% 1.01/1.17 tff(8867,plain,
% 1.01/1.17 (sk(a_1800, a_1850) = i21),
% 1.01/1.17 inference(symmetry,[status(thm)],[8849])).
% 1.01/1.17 tff(8868,plain,
% 1.01/1.17 (select(store(store(a_1769, i20, e20), i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1769, i20, e20), i21, e21), i21)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8867])).
% 1.01/1.17 tff(8869,plain,
% 1.01/1.17 (select(store(a_1770, i21, e21), sk(a_1800, a_1850)) = e_1853),
% 1.01/1.17 inference(transitivity,[status(thm)],[6729, 8868, 8866, 8864, 8861, 1060, 8860, 1042, 8857, 1034, 26])).
% 1.01/1.17 tff(8870,plain,
% 1.01/1.17 (select(store(a_1797, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1797, i48, e48), i49, e49), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[1712])).
% 1.01/1.17 tff(8871,plain,
% 1.01/1.17 (~(i48 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[2115, 1712, 22, 1007])).
% 1.01/1.17 tff(8872,plain,
% 1.01/1.17 (select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850)) = select(store(a_1796, i47, e47), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[954, 17, 8871])).
% 1.01/1.17 tff(8873,plain,
% 1.01/1.17 (select(store(a_1796, i47, e47), sk(a_1800, a_1850)) = select(store(store(a_1796, i47, e47), i48, e48), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8872])).
% 1.01/1.17 tff(8874,plain,
% 1.01/1.17 ((i21 = i47) <=> (sk(a_1800, a_1850) = i47)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8875,plain,
% 1.01/1.17 ((i21 = i47) <=> (i47 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8874, 925])).
% 1.01/1.17 tff(8876,plain,
% 1.01/1.17 ((~(i21 = i47)) <=> (~(i47 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8875])).
% 1.01/1.17 tff(8877,plain,
% 1.01/1.17 ((~(i21 = i47)) <=> (~(i21 = i47))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8878,axiom,(~(i21 = i47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp512')).
% 1.01/1.17 tff(8879,plain,
% 1.01/1.17 (~(i21 = i47)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8878, 8877])).
% 1.01/1.17 tff(8880,plain,
% 1.01/1.17 (~(i47 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8879, 8876])).
% 1.01/1.17 tff(8881,plain,
% 1.01/1.17 (select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850)) = select(store(a_1795, i46, e46), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[1729, 8880])).
% 1.01/1.17 tff(8882,plain,
% 1.01/1.17 (select(store(a_1795, i46, e46), sk(a_1800, a_1850)) = select(store(store(a_1795, i46, e46), i47, e47), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8881])).
% 1.01/1.17 tff(8883,plain,
% 1.01/1.17 ((i21 = i46) <=> (sk(a_1800, a_1850) = i46)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8884,plain,
% 1.01/1.17 ((i21 = i46) <=> (i46 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8883, 906])).
% 1.01/1.17 tff(8885,plain,
% 1.01/1.17 ((~(i21 = i46)) <=> (~(i46 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8884])).
% 1.01/1.17 tff(8886,plain,
% 1.01/1.17 ((~(i21 = i46)) <=> (~(i21 = i46))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8887,axiom,(~(i21 = i46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp513')).
% 1.01/1.17 tff(8888,plain,
% 1.01/1.17 (~(i21 = i46)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 1.01/1.17 tff(8889,plain,
% 1.01/1.17 (~(i46 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8888, 8885])).
% 1.01/1.17 tff(8890,plain,
% 1.01/1.17 (select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850)) = select(store(a_1794, i45, e45), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[916, 17, 8889])).
% 1.01/1.17 tff(8891,plain,
% 1.01/1.17 (select(store(a_1794, i45, e45), sk(a_1800, a_1850)) = select(store(store(a_1794, i45, e45), i46, e46), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8890])).
% 1.01/1.17 tff(8892,plain,
% 1.01/1.17 ((i21 = i45) <=> (sk(a_1800, a_1850) = i45)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8893,plain,
% 1.01/1.17 ((i21 = i45) <=> (i45 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8892, 887])).
% 1.01/1.17 tff(8894,plain,
% 1.01/1.17 ((~(i21 = i45)) <=> (~(i45 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8893])).
% 1.01/1.17 tff(8895,plain,
% 1.01/1.17 ((~(i21 = i45)) <=> (~(i21 = i45))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8896,axiom,(~(i21 = i45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp514')).
% 1.01/1.17 tff(8897,plain,
% 1.01/1.17 (~(i21 = i45)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 1.01/1.17 tff(8898,plain,
% 1.01/1.17 (~(i45 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8897, 8894])).
% 1.01/1.17 tff(8899,plain,
% 1.01/1.17 (select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850)) = select(store(a_1793, i44, e44), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[897, 17, 8898])).
% 1.01/1.17 tff(8900,plain,
% 1.01/1.17 (select(store(a_1793, i44, e44), sk(a_1800, a_1850)) = select(store(store(a_1793, i44, e44), i45, e45), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8899])).
% 1.01/1.17 tff(8901,plain,
% 1.01/1.17 ((i21 = i44) <=> (sk(a_1800, a_1850) = i44)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8902,plain,
% 1.01/1.17 ((i21 = i44) <=> (i44 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8901, 868])).
% 1.01/1.17 tff(8903,plain,
% 1.01/1.17 ((~(i21 = i44)) <=> (~(i44 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8902])).
% 1.01/1.17 tff(8904,plain,
% 1.01/1.17 ((~(i21 = i44)) <=> (~(i21 = i44))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8905,axiom,(~(i21 = i44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp515')).
% 1.01/1.17 tff(8906,plain,
% 1.01/1.17 (~(i21 = i44)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8905, 8904])).
% 1.01/1.17 tff(8907,plain,
% 1.01/1.17 (~(i44 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8906, 8903])).
% 1.01/1.17 tff(8908,plain,
% 1.01/1.17 (select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850)) = select(store(a_1792, i43, e43), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[878, 17, 8907])).
% 1.01/1.17 tff(8909,plain,
% 1.01/1.17 (select(store(a_1792, i43, e43), sk(a_1800, a_1850)) = select(store(store(a_1792, i43, e43), i44, e44), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8908])).
% 1.01/1.17 tff(8910,plain,
% 1.01/1.17 ((i21 = i43) <=> (sk(a_1800, a_1850) = i43)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8911,plain,
% 1.01/1.17 ((i21 = i43) <=> (i43 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8910, 849])).
% 1.01/1.17 tff(8912,plain,
% 1.01/1.17 ((~(i21 = i43)) <=> (~(i43 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8911])).
% 1.01/1.17 tff(8913,plain,
% 1.01/1.17 ((~(i21 = i43)) <=> (~(i21 = i43))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8914,axiom,(~(i21 = i43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp516')).
% 1.01/1.17 tff(8915,plain,
% 1.01/1.17 (~(i21 = i43)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 1.01/1.17 tff(8916,plain,
% 1.01/1.17 (~(i43 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8915, 8912])).
% 1.01/1.17 tff(8917,plain,
% 1.01/1.17 (select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850)) = select(store(a_1791, i42, e42), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[859, 17, 8916])).
% 1.01/1.17 tff(8918,plain,
% 1.01/1.17 (select(store(a_1791, i42, e42), sk(a_1800, a_1850)) = select(store(store(a_1791, i42, e42), i43, e43), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8917])).
% 1.01/1.17 tff(8919,plain,
% 1.01/1.17 ((i21 = i42) <=> (sk(a_1800, a_1850) = i42)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8920,plain,
% 1.01/1.17 ((i21 = i42) <=> (i42 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8919, 830])).
% 1.01/1.17 tff(8921,plain,
% 1.01/1.17 ((~(i21 = i42)) <=> (~(i42 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8920])).
% 1.01/1.17 tff(8922,plain,
% 1.01/1.17 ((~(i21 = i42)) <=> (~(i21 = i42))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8923,axiom,(~(i21 = i42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp517')).
% 1.01/1.17 tff(8924,plain,
% 1.01/1.17 (~(i21 = i42)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8923, 8922])).
% 1.01/1.17 tff(8925,plain,
% 1.01/1.17 (~(i42 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8924, 8921])).
% 1.01/1.17 tff(8926,plain,
% 1.01/1.17 (select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850)) = select(store(a_1790, i41, e41), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[840, 17, 8925])).
% 1.01/1.17 tff(8927,plain,
% 1.01/1.17 (select(store(a_1790, i41, e41), sk(a_1800, a_1850)) = select(store(store(a_1790, i41, e41), i42, e42), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8926])).
% 1.01/1.17 tff(8928,plain,
% 1.01/1.17 ((i21 = i41) <=> (sk(a_1800, a_1850) = i41)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8929,plain,
% 1.01/1.17 ((i21 = i41) <=> (i41 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8928, 811])).
% 1.01/1.17 tff(8930,plain,
% 1.01/1.17 ((~(i21 = i41)) <=> (~(i41 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8929])).
% 1.01/1.17 tff(8931,plain,
% 1.01/1.17 ((~(i21 = i41)) <=> (~(i21 = i41))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8932,axiom,(~(i21 = i41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp518')).
% 1.01/1.17 tff(8933,plain,
% 1.01/1.17 (~(i21 = i41)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 1.01/1.17 tff(8934,plain,
% 1.01/1.17 (~(i41 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8933, 8930])).
% 1.01/1.17 tff(8935,plain,
% 1.01/1.17 (select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850)) = select(store(a_1789, i40, e40), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[821, 17, 8934])).
% 1.01/1.17 tff(8936,plain,
% 1.01/1.17 (select(store(a_1789, i40, e40), sk(a_1800, a_1850)) = select(store(store(a_1789, i40, e40), i41, e41), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8935])).
% 1.01/1.17 tff(8937,plain,
% 1.01/1.17 ((i21 = i40) <=> (sk(a_1800, a_1850) = i40)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8938,plain,
% 1.01/1.17 ((i21 = i40) <=> (i40 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8937, 788])).
% 1.01/1.17 tff(8939,plain,
% 1.01/1.17 ((~(i21 = i40)) <=> (~(i40 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8938])).
% 1.01/1.17 tff(8940,plain,
% 1.01/1.17 ((~(i21 = i40)) <=> (~(i21 = i40))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8941,axiom,(~(i21 = i40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp519')).
% 1.01/1.17 tff(8942,plain,
% 1.01/1.17 (~(i21 = i40)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 1.01/1.17 tff(8943,plain,
% 1.01/1.17 (~(i40 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8942, 8939])).
% 1.01/1.17 tff(8944,plain,
% 1.01/1.17 (select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850)) = select(store(a_1788, i39, e39), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[802, 8943])).
% 1.01/1.17 tff(8945,plain,
% 1.01/1.17 (select(store(a_1788, i39, e39), sk(a_1800, a_1850)) = select(store(store(a_1788, i39, e39), i40, e40), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8944])).
% 1.01/1.17 tff(8946,plain,
% 1.01/1.17 ((i21 = i39) <=> (sk(a_1800, a_1850) = i39)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8947,plain,
% 1.01/1.17 ((i21 = i39) <=> (i39 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8946, 769])).
% 1.01/1.17 tff(8948,plain,
% 1.01/1.17 ((~(i21 = i39)) <=> (~(i39 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8947])).
% 1.01/1.17 tff(8949,plain,
% 1.01/1.17 ((~(i21 = i39)) <=> (~(i21 = i39))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8950,axiom,(~(i21 = i39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp520')).
% 1.01/1.17 tff(8951,plain,
% 1.01/1.17 (~(i21 = i39)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8950, 8949])).
% 1.01/1.17 tff(8952,plain,
% 1.01/1.17 (~(i39 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8951, 8948])).
% 1.01/1.17 tff(8953,plain,
% 1.01/1.17 (select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850)) = select(store(a_1787, i38, e38), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[779, 17, 8952])).
% 1.01/1.17 tff(8954,plain,
% 1.01/1.17 (select(store(a_1787, i38, e38), sk(a_1800, a_1850)) = select(store(store(a_1787, i38, e38), i39, e39), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8953])).
% 1.01/1.17 tff(8955,plain,
% 1.01/1.17 ((i21 = i38) <=> (sk(a_1800, a_1850) = i38)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8956,plain,
% 1.01/1.17 ((i21 = i38) <=> (i38 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8955, 746])).
% 1.01/1.17 tff(8957,plain,
% 1.01/1.17 ((~(i21 = i38)) <=> (~(i38 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8956])).
% 1.01/1.17 tff(8958,plain,
% 1.01/1.17 ((~(i21 = i38)) <=> (~(i21 = i38))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8959,axiom,(~(i21 = i38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp521')).
% 1.01/1.17 tff(8960,plain,
% 1.01/1.17 (~(i21 = i38)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 1.01/1.17 tff(8961,plain,
% 1.01/1.17 (~(i38 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8960, 8957])).
% 1.01/1.17 tff(8962,plain,
% 1.01/1.17 (select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850)) = select(store(a_1786, i37, e37), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[760, 8961])).
% 1.01/1.17 tff(8963,plain,
% 1.01/1.17 (select(store(a_1786, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1786, i37, e37), i38, e38), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8962])).
% 1.01/1.17 tff(8964,plain,
% 1.01/1.17 ((i21 = i36) <=> (sk(a_1800, a_1850) = i36)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8965,plain,
% 1.01/1.17 ((i21 = i36) <=> (i36 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8964, 708])).
% 1.01/1.17 tff(8966,plain,
% 1.01/1.17 ((~(i21 = i36)) <=> (~(i36 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8965])).
% 1.01/1.17 tff(8967,plain,
% 1.01/1.17 ((~(i21 = i36)) <=> (~(i21 = i36))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8968,axiom,(~(i21 = i36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp523')).
% 1.01/1.17 tff(8969,plain,
% 1.01/1.17 (~(i21 = i36)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 1.01/1.17 tff(8970,plain,
% 1.01/1.17 (~(i36 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8969, 8966])).
% 1.01/1.17 tff(8971,plain,
% 1.01/1.17 (select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850)) = select(store(a_1784, i35, e35), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[718, 17, 8970])).
% 1.01/1.17 tff(8972,plain,
% 1.01/1.17 (select(store(a_1784, i35, e35), sk(a_1800, a_1850)) = select(store(store(a_1784, i35, e35), i36, e36), sk(a_1800, a_1850))),
% 1.01/1.17 inference(symmetry,[status(thm)],[8971])).
% 1.01/1.17 tff(8973,plain,
% 1.01/1.17 ((i21 = i35) <=> (sk(a_1800, a_1850) = i35)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.17 tff(8974,plain,
% 1.01/1.17 ((i21 = i35) <=> (i35 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8973, 689])).
% 1.01/1.17 tff(8975,plain,
% 1.01/1.17 ((~(i21 = i35)) <=> (~(i35 = sk(a_1800, a_1850)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8974])).
% 1.01/1.17 tff(8976,plain,
% 1.01/1.17 ((~(i21 = i35)) <=> (~(i21 = i35))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8977,axiom,(~(i21 = i35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp524')).
% 1.01/1.17 tff(8978,plain,
% 1.01/1.17 (~(i21 = i35)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 1.01/1.17 tff(8979,plain,
% 1.01/1.17 (~(i35 = sk(a_1800, a_1850))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8978, 8975])).
% 1.01/1.17 tff(8980,plain,
% 1.01/1.17 (select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850)) = select(store(a_1783, i34, e34), sk(a_1800, a_1850))),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[699, 17, 8979])).
% 1.01/1.17 tff(8981,plain,
% 1.01/1.17 (select(store(a_1783, i34, e34), sk(a_1800, a_1850)) = select(store(store(a_1783, i34, e34), i35, e35), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[8980])).
% 1.01/1.18 tff(8982,plain,
% 1.01/1.18 ((i21 = i34) <=> (sk(a_1800, a_1850) = i34)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(8983,plain,
% 1.01/1.18 ((i21 = i34) <=> (i34 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[8982, 670])).
% 1.01/1.18 tff(8984,plain,
% 1.01/1.18 ((~(i21 = i34)) <=> (~(i34 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8983])).
% 1.01/1.18 tff(8985,plain,
% 1.01/1.18 ((~(i21 = i34)) <=> (~(i21 = i34))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(8986,axiom,(~(i21 = i34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp525')).
% 1.01/1.18 tff(8987,plain,
% 1.01/1.18 (~(i21 = i34)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 1.01/1.18 tff(8988,plain,
% 1.01/1.18 (~(i34 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[8987, 8984])).
% 1.01/1.18 tff(8989,plain,
% 1.01/1.18 (select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850)) = select(store(a_1782, i33, e33), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[680, 17, 8988])).
% 1.01/1.18 tff(8990,plain,
% 1.01/1.18 (select(store(a_1782, i33, e33), sk(a_1800, a_1850)) = select(store(store(a_1782, i33, e33), i34, e34), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[8989])).
% 1.01/1.18 tff(8991,plain,
% 1.01/1.18 ((i21 = i33) <=> (sk(a_1800, a_1850) = i33)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(8992,plain,
% 1.01/1.18 ((i21 = i33) <=> (i33 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[8991, 651])).
% 1.01/1.18 tff(8993,plain,
% 1.01/1.18 ((~(i21 = i33)) <=> (~(i33 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8992])).
% 1.01/1.18 tff(8994,plain,
% 1.01/1.18 ((~(i21 = i33)) <=> (~(i21 = i33))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(8995,axiom,(~(i21 = i33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp526')).
% 1.01/1.18 tff(8996,plain,
% 1.01/1.18 (~(i21 = i33)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 1.01/1.18 tff(8997,plain,
% 1.01/1.18 (~(i33 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[8996, 8993])).
% 1.01/1.18 tff(8998,plain,
% 1.01/1.18 (select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850)) = select(store(a_1781, i32, e32), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[661, 17, 8997])).
% 1.01/1.18 tff(8999,plain,
% 1.01/1.18 (select(store(a_1781, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1781, i32, e32), i33, e33), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[8998])).
% 1.01/1.18 tff(9000,plain,
% 1.01/1.18 ((i21 = i32) <=> (sk(a_1800, a_1850) = i32)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9001,plain,
% 1.01/1.18 ((i21 = i32) <=> (i32 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9000, 632])).
% 1.01/1.18 tff(9002,plain,
% 1.01/1.18 ((~(i21 = i32)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9001])).
% 1.01/1.18 tff(9003,plain,
% 1.01/1.18 ((~(i21 = i32)) <=> (~(i21 = i32))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9004,axiom,(~(i21 = i32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp527')).
% 1.01/1.18 tff(9005,plain,
% 1.01/1.18 (~(i21 = i32)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 1.01/1.18 tff(9006,plain,
% 1.01/1.18 (~(i32 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9005, 9002])).
% 1.01/1.18 tff(9007,plain,
% 1.01/1.18 (select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850)) = select(store(a_1780, i31, e31), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[642, 17, 9006])).
% 1.01/1.18 tff(9008,plain,
% 1.01/1.18 (select(store(a_1780, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1780, i31, e31), i32, e32), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9007])).
% 1.01/1.18 tff(9009,plain,
% 1.01/1.18 (select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850)) = select(store(a_1779, i30, e30), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[623, 17, 8858])).
% 1.01/1.18 tff(9010,plain,
% 1.01/1.18 (select(store(a_1779, i30, e30), sk(a_1800, a_1850)) = select(store(store(a_1779, i30, e30), i31, e31), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9009])).
% 1.01/1.18 tff(9011,plain,
% 1.01/1.18 ((i21 = i30) <=> (sk(a_1800, a_1850) = i30)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9012,plain,
% 1.01/1.18 ((i21 = i30) <=> (i30 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9011, 594])).
% 1.01/1.18 tff(9013,plain,
% 1.01/1.18 ((~(i21 = i30)) <=> (~(i30 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9012])).
% 1.01/1.18 tff(9014,plain,
% 1.01/1.18 ((~(i21 = i30)) <=> (~(i21 = i30))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9015,axiom,(~(i21 = i30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp529')).
% 1.01/1.18 tff(9016,plain,
% 1.01/1.18 (~(i21 = i30)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9015, 9014])).
% 1.01/1.18 tff(9017,plain,
% 1.01/1.18 (~(i30 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9016, 9013])).
% 1.01/1.18 tff(9018,plain,
% 1.01/1.18 (select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850)) = select(store(a_1778, i29, e29), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[604, 17, 9017])).
% 1.01/1.18 tff(9019,plain,
% 1.01/1.18 (select(store(a_1778, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1778, i29, e29), i30, e30), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9018])).
% 1.01/1.18 tff(9020,plain,
% 1.01/1.18 ((i21 = i29) <=> (sk(a_1800, a_1850) = i29)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9021,plain,
% 1.01/1.18 ((i21 = i29) <=> (i29 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9020, 571])).
% 1.01/1.18 tff(9022,plain,
% 1.01/1.18 ((~(i21 = i29)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9021])).
% 1.01/1.18 tff(9023,plain,
% 1.01/1.18 ((~(i21 = i29)) <=> (~(i21 = i29))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9024,axiom,(~(i21 = i29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp530')).
% 1.01/1.18 tff(9025,plain,
% 1.01/1.18 (~(i21 = i29)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 1.01/1.18 tff(9026,plain,
% 1.01/1.18 (~(i29 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9025, 9022])).
% 1.01/1.18 tff(9027,plain,
% 1.01/1.18 (select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850)) = select(store(a_1777, i28, e28), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[585, 9026])).
% 1.01/1.18 tff(9028,plain,
% 1.01/1.18 (select(store(a_1777, i28, e28), sk(a_1800, a_1850)) = select(store(store(a_1777, i28, e28), i29, e29), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9027])).
% 1.01/1.18 tff(9029,plain,
% 1.01/1.18 ((i21 = i28) <=> (sk(a_1800, a_1850) = i28)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9030,plain,
% 1.01/1.18 ((i21 = i28) <=> (i28 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9029, 552])).
% 1.01/1.18 tff(9031,plain,
% 1.01/1.18 ((~(i21 = i28)) <=> (~(i28 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9030])).
% 1.01/1.18 tff(9032,plain,
% 1.01/1.18 ((~(i21 = i28)) <=> (~(i21 = i28))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9033,axiom,(~(i21 = i28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp531')).
% 1.01/1.18 tff(9034,plain,
% 1.01/1.18 (~(i21 = i28)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9033, 9032])).
% 1.01/1.18 tff(9035,plain,
% 1.01/1.18 (~(i28 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9034, 9031])).
% 1.01/1.18 tff(9036,plain,
% 1.01/1.18 (select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850)) = select(store(a_1776, i27, e27), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[562, 17, 9035])).
% 1.01/1.18 tff(9037,plain,
% 1.01/1.18 (select(store(a_1776, i27, e27), sk(a_1800, a_1850)) = select(store(store(a_1776, i27, e27), i28, e28), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9036])).
% 1.01/1.18 tff(9038,plain,
% 1.01/1.18 ((i21 = i27) <=> (sk(a_1800, a_1850) = i27)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9039,plain,
% 1.01/1.18 ((i21 = i27) <=> (i27 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9038, 533])).
% 1.01/1.18 tff(9040,plain,
% 1.01/1.18 ((~(i21 = i27)) <=> (~(i27 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9039])).
% 1.01/1.18 tff(9041,plain,
% 1.01/1.18 ((~(i21 = i27)) <=> (~(i21 = i27))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9042,axiom,(~(i21 = i27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp532')).
% 1.01/1.18 tff(9043,plain,
% 1.01/1.18 (~(i21 = i27)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 1.01/1.18 tff(9044,plain,
% 1.01/1.18 (~(i27 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9043, 9040])).
% 1.01/1.18 tff(9045,plain,
% 1.01/1.18 (select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850)) = select(store(a_1775, i26, e26), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[543, 17, 9044])).
% 1.01/1.18 tff(9046,plain,
% 1.01/1.18 (select(store(a_1775, i26, e26), sk(a_1800, a_1850)) = select(store(store(a_1775, i26, e26), i27, e27), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9045])).
% 1.01/1.18 tff(9047,plain,
% 1.01/1.18 ((i21 = i26) <=> (sk(a_1800, a_1850) = i26)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9048,plain,
% 1.01/1.18 ((i21 = i26) <=> (i26 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9047, 514])).
% 1.01/1.18 tff(9049,plain,
% 1.01/1.18 ((~(i21 = i26)) <=> (~(i26 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9048])).
% 1.01/1.18 tff(9050,plain,
% 1.01/1.18 ((~(i21 = i26)) <=> (~(i21 = i26))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9051,axiom,(~(i21 = i26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp533')).
% 1.01/1.18 tff(9052,plain,
% 1.01/1.18 (~(i21 = i26)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 1.01/1.18 tff(9053,plain,
% 1.01/1.18 (~(i26 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9052, 9049])).
% 1.01/1.18 tff(9054,plain,
% 1.01/1.18 (select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850)) = select(store(a_1774, i25, e25), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[524, 17, 9053])).
% 1.01/1.18 tff(9055,plain,
% 1.01/1.18 (select(store(a_1774, i25, e25), sk(a_1800, a_1850)) = select(store(store(a_1774, i25, e25), i26, e26), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9054])).
% 1.01/1.18 tff(9056,plain,
% 1.01/1.18 ((i21 = i25) <=> (sk(a_1800, a_1850) = i25)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9057,plain,
% 1.01/1.18 ((i21 = i25) <=> (i25 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9056, 495])).
% 1.01/1.18 tff(9058,plain,
% 1.01/1.18 ((~(i21 = i25)) <=> (~(i25 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9057])).
% 1.01/1.18 tff(9059,plain,
% 1.01/1.18 ((~(i21 = i25)) <=> (~(i21 = i25))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9060,axiom,(~(i21 = i25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp534')).
% 1.01/1.18 tff(9061,plain,
% 1.01/1.18 (~(i21 = i25)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9060, 9059])).
% 1.01/1.18 tff(9062,plain,
% 1.01/1.18 (~(i25 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9061, 9058])).
% 1.01/1.18 tff(9063,plain,
% 1.01/1.18 (select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850)) = select(store(a_1773, i24, e24), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[505, 17, 9062])).
% 1.01/1.18 tff(9064,plain,
% 1.01/1.18 (select(store(a_1773, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1773, i24, e24), i25, e25), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9063])).
% 1.01/1.18 tff(9065,assumption,(~(i24 = sk(a_1800, a_1850))), introduced(assumption)).
% 1.01/1.18 tff(9066,plain,
% 1.01/1.18 (select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850)) = select(store(a_1772, i23, e23), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[486, 17, 9065])).
% 1.01/1.18 tff(9067,plain,
% 1.01/1.18 (select(store(a_1772, i23, e23), sk(a_1800, a_1850)) = select(store(store(a_1772, i23, e23), i24, e24), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9066])).
% 1.01/1.18 tff(9068,plain,
% 1.01/1.18 ((i21 = i23) <=> (sk(a_1800, a_1850) = i23)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[8849])).
% 1.01/1.18 tff(9069,plain,
% 1.01/1.18 ((i21 = i23) <=> (i23 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(transitivity,[status(thm)],[9068, 458])).
% 1.01/1.18 tff(9070,plain,
% 1.01/1.18 ((~(i21 = i23)) <=> (~(i23 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9069])).
% 1.01/1.18 tff(9071,plain,
% 1.01/1.18 ((~(i21 = i23)) <=> (~(i21 = i23))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9072,axiom,(~(i21 = i23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp536')).
% 1.01/1.18 tff(9073,plain,
% 1.01/1.18 (~(i21 = i23)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 1.01/1.18 tff(9074,plain,
% 1.01/1.18 (~(i23 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9073, 9070])).
% 1.01/1.18 tff(9075,plain,
% 1.01/1.18 (select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850)) = select(store(a_1771, i22, e22), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[468, 17, 9074])).
% 1.01/1.18 tff(9076,plain,
% 1.01/1.18 (select(store(a_1771, i22, e22), sk(a_1800, a_1850)) = select(store(store(a_1771, i22, e22), i23, e23), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9075])).
% 1.01/1.18 tff(9077,plain,
% 1.01/1.18 (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = e_1852),
% 1.01/1.18 inference(transitivity,[status(thm)],[456, 9076, 475, 9067, 493, 9064, 512, 9055, 531, 9046, 550, 9037, 569, 9028, 592, 9019, 611, 9010, 630, 9008, 649, 8999, 668, 8990, 687, 8981, 706, 8972, 725, 4049, 744, 8963, 767, 8954, 786, 8945, 809, 8936, 828, 8927, 847, 8918, 866, 8909, 885, 8900, 904, 8891, 923, 8882, 942, 8873, 961, 8870, 981, 1017, 994, 5])).
% 1.01/1.18 tff(9078,plain,
% 1.01/1.18 ((select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9077, 8869])).
% 1.01/1.18 tff(9079,plain,
% 1.01/1.18 ((e_1852 = e_1853) <=> (select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9078])).
% 1.01/1.18 tff(9080,plain,
% 1.01/1.18 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850))))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9079])).
% 1.01/1.18 tff(9081,plain,
% 1.01/1.18 (~(select(store(store(a_1770, i21, e21), i22, e22), sk(a_1800, a_1850)) = select(store(a_1770, i21, e21), sk(a_1800, a_1850)))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[999, 9080])).
% 1.01/1.18 tff(9082,plain,
% 1.01/1.18 ($false),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[449, 17, 9081, 8856])).
% 1.01/1.18 tff(9083,plain,((i37 = sk(a_1800, a_1850)) | (i24 = sk(a_1800, a_1850)) | (i50 = sk(a_1800, a_1850))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.18 tff(9084,plain,
% 1.01/1.18 (i24 = sk(a_1800, a_1850)),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[9083, 2576, 11])).
% 1.01/1.18 tff(9085,plain,
% 1.01/1.18 (i21 = i24),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9084, 8848])).
% 1.01/1.18 tff(9086,plain,
% 1.01/1.18 ((~(i21 = i24)) <=> (~(i21 = i24))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9087,axiom,(~(i21 = i24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp535')).
% 1.01/1.18 tff(9088,plain,
% 1.01/1.18 (~(i21 = i24)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 1.01/1.18 tff(9089,plain,
% 1.01/1.18 ($false),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[9088, 9085])).
% 1.01/1.18 tff(9090,plain,(i50 = sk(a_1800, a_1850)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.18 tff(9091,plain,
% 1.01/1.18 (i50 = i_1851),
% 1.01/1.18 inference(transitivity,[status(thm)],[9090, 9])).
% 1.01/1.18 tff(9092,plain,
% 1.01/1.18 (select(store(store(a_1798, i49, e49), i50, e50), i50) = select(a_1800, i_1851)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[993, 9091])).
% 1.01/1.18 tff(9093,plain,
% 1.01/1.18 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1798, i49, e49), i50, e50), i50) = e50)),
% 1.01/1.18 inference(quant_inst,[status(thm)],[])).
% 1.01/1.18 tff(9094,plain,
% 1.01/1.18 (select(store(store(a_1798, i49, e49), i50, e50), i50) = e50),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[9093, 47])).
% 1.01/1.18 tff(9095,plain,
% 1.01/1.18 (e50 = select(store(store(a_1798, i49, e49), i50, e50), i50)),
% 1.01/1.18 inference(symmetry,[status(thm)],[9094])).
% 1.01/1.18 tff(9096,plain,
% 1.01/1.18 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1834, i35, e35), i50, e50), i50) = e50)),
% 1.01/1.18 inference(quant_inst,[status(thm)],[])).
% 1.01/1.18 tff(9097,plain,
% 1.01/1.18 (select(store(store(a_1834, i35, e35), i50, e50), i50) = e50),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[9096, 47])).
% 1.01/1.18 tff(9098,plain,
% 1.01/1.18 (sk(a_1800, a_1850) = i50),
% 1.01/1.18 inference(symmetry,[status(thm)],[9090])).
% 1.01/1.18 tff(9099,plain,
% 1.01/1.18 (select(store(store(a_1834, i35, e35), i50, e50), sk(a_1800, a_1850)) = select(store(store(a_1834, i35, e35), i50, e50), i50)),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9098])).
% 1.01/1.18 tff(9100,plain,
% 1.01/1.18 (select(store(a_1835, i50, e50), sk(a_1800, a_1850)) = e_1852),
% 1.01/1.18 inference(transitivity,[status(thm)],[6327, 9099, 9097, 9095, 9092, 5])).
% 1.01/1.18 tff(9101,plain,
% 1.01/1.18 ((i1 = i50) <=> (i1 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9102,plain,
% 1.01/1.18 ((~(i1 = i50)) <=> (~(i1 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9101])).
% 1.01/1.18 tff(9103,plain,
% 1.01/1.18 ((~(i1 = i50)) <=> (~(i1 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9104,axiom,(~(i1 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1279')).
% 1.01/1.18 tff(9105,plain,
% 1.01/1.18 (~(i1 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 1.01/1.18 tff(9106,plain,
% 1.01/1.18 (~(i1 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9105, 9102])).
% 1.01/1.18 tff(9107,plain,
% 1.01/1.18 (select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850)) = select(store(a_1848, i31, e31), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1006, 9106])).
% 1.01/1.18 tff(9108,plain,
% 1.01/1.18 (select(store(a_1848, i31, e31), sk(a_1800, a_1850)) = select(store(store(a_1848, i31, e31), i1, e1), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9107])).
% 1.01/1.18 tff(9109,plain,
% 1.01/1.18 ((i31 = i50) <=> (i31 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9110,plain,
% 1.01/1.18 ((~(i31 = i50)) <=> (~(i31 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9109])).
% 1.01/1.18 tff(9111,plain,
% 1.01/1.18 ((~(i31 = i50)) <=> (~(i31 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9112,axiom,(~(i31 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp274')).
% 1.01/1.18 tff(9113,plain,
% 1.01/1.18 (~(i31 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 1.01/1.18 tff(9114,plain,
% 1.01/1.18 (~(i31 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9113, 9110])).
% 1.01/1.18 tff(9115,plain,
% 1.01/1.18 (select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850)) = select(store(a_1847, i21, e21), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1051, 17, 9114])).
% 1.01/1.18 tff(9116,plain,
% 1.01/1.18 (select(store(a_1847, i21, e21), sk(a_1800, a_1850)) = select(store(store(a_1847, i21, e21), i31, e31), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9115])).
% 1.01/1.18 tff(9117,plain,
% 1.01/1.18 ((i21 = i50) <=> (i21 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9118,plain,
% 1.01/1.18 ((~(i21 = i50)) <=> (~(i21 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9117])).
% 1.01/1.18 tff(9119,plain,
% 1.01/1.18 ((~(i21 = i50)) <=> (~(i21 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9120,axiom,(~(i21 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp509')).
% 1.01/1.18 tff(9121,plain,
% 1.01/1.18 (~(i21 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 1.01/1.18 tff(9122,plain,
% 1.01/1.18 (~(i21 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9121, 9118])).
% 1.01/1.18 tff(9123,plain,
% 1.01/1.18 (select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850)) = select(store(a_1846, i24, e24), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1070, 17, 9122])).
% 1.01/1.18 tff(9124,plain,
% 1.01/1.18 (select(store(a_1846, i24, e24), sk(a_1800, a_1850)) = select(store(store(a_1846, i24, e24), i21, e21), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9123])).
% 1.01/1.18 tff(9125,plain,
% 1.01/1.18 ((i24 = i50) <=> (i24 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9126,plain,
% 1.01/1.18 ((~(i24 = i50)) <=> (~(i24 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9125])).
% 1.01/1.18 tff(9127,plain,
% 1.01/1.18 ((~(i24 = i50)) <=> (~(i24 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9128,axiom,(~(i24 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp428')).
% 1.01/1.18 tff(9129,plain,
% 1.01/1.18 (~(i24 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 1.01/1.18 tff(9130,plain,
% 1.01/1.18 (~(i24 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9129, 9126])).
% 1.01/1.18 tff(9131,plain,
% 1.01/1.18 (select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850)) = select(store(a_1845, i4, e4), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1089, 17, 9130])).
% 1.01/1.18 tff(9132,plain,
% 1.01/1.18 (select(store(a_1845, i4, e4), sk(a_1800, a_1850)) = select(store(store(a_1845, i4, e4), i24, e24), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9131])).
% 1.01/1.18 tff(9133,plain,
% 1.01/1.18 ((i4 = i50) <=> (i4 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9134,plain,
% 1.01/1.18 ((~(i4 = i50)) <=> (~(i4 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9133])).
% 1.01/1.18 tff(9135,plain,
% 1.01/1.18 ((~(i4 = i50)) <=> (~(i4 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9136,axiom,(~(i4 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1138')).
% 1.01/1.18 tff(9137,plain,
% 1.01/1.18 (~(i4 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 1.01/1.18 tff(9138,plain,
% 1.01/1.18 (~(i4 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9137, 9134])).
% 1.01/1.18 tff(9139,plain,
% 1.01/1.18 (select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850)) = select(store(a_1844, i32, e32), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1108, 17, 9138])).
% 1.01/1.18 tff(9140,plain,
% 1.01/1.18 (select(store(a_1844, i32, e32), sk(a_1800, a_1850)) = select(store(store(a_1844, i32, e32), i4, e4), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9139])).
% 1.01/1.18 tff(9141,plain,
% 1.01/1.18 ((i32 = i50) <=> (i32 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9142,plain,
% 1.01/1.18 ((~(i32 = i50)) <=> (~(i32 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9141])).
% 1.01/1.18 tff(9143,plain,
% 1.01/1.18 ((~(i32 = i50)) <=> (~(i32 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9144,axiom,(~(i32 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp256')).
% 1.01/1.18 tff(9145,plain,
% 1.01/1.18 (~(i32 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9144, 9143])).
% 1.01/1.18 tff(9146,plain,
% 1.01/1.18 (~(i32 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9145, 9142])).
% 1.01/1.18 tff(9147,plain,
% 1.01/1.18 (select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850)) = select(store(a_1843, i5, e5), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1127, 17, 9146])).
% 1.01/1.18 tff(9148,plain,
% 1.01/1.18 (select(store(a_1843, i5, e5), sk(a_1800, a_1850)) = select(store(store(a_1843, i5, e5), i32, e32), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9147])).
% 1.01/1.18 tff(9149,plain,
% 1.01/1.18 ((i5 = i50) <=> (i5 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9150,plain,
% 1.01/1.18 ((~(i5 = i50)) <=> (~(i5 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9149])).
% 1.01/1.18 tff(9151,plain,
% 1.01/1.18 ((~(i5 = i50)) <=> (~(i5 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9152,axiom,(~(i5 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1093')).
% 1.01/1.18 tff(9153,plain,
% 1.01/1.18 (~(i5 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9152, 9151])).
% 1.01/1.18 tff(9154,plain,
% 1.01/1.18 (~(i5 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9153, 9150])).
% 1.01/1.18 tff(9155,plain,
% 1.01/1.18 (select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850)) = select(store(a_1842, i12, e12), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1146, 17, 9154])).
% 1.01/1.18 tff(9156,plain,
% 1.01/1.18 (select(store(a_1842, i12, e12), sk(a_1800, a_1850)) = select(store(store(a_1842, i12, e12), i5, e5), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9155])).
% 1.01/1.18 tff(9157,plain,
% 1.01/1.18 ((i12 = i50) <=> (i12 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9158,plain,
% 1.01/1.18 ((~(i12 = i50)) <=> (~(i12 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9157])).
% 1.01/1.18 tff(9159,plain,
% 1.01/1.18 ((~(i12 = i50)) <=> (~(i12 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9160,axiom,(~(i12 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp806')).
% 1.01/1.18 tff(9161,plain,
% 1.01/1.18 (~(i12 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 1.01/1.18 tff(9162,plain,
% 1.01/1.18 (~(i12 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9161, 9158])).
% 1.01/1.18 tff(9163,plain,
% 1.01/1.18 (select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850)) = select(store(a_1841, i37, e37), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1165, 17, 9162])).
% 1.01/1.18 tff(9164,plain,
% 1.01/1.18 (select(store(a_1841, i37, e37), sk(a_1800, a_1850)) = select(store(store(a_1841, i37, e37), i12, e12), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9163])).
% 1.01/1.18 tff(9165,plain,
% 1.01/1.18 ((i37 = i50) <=> (i37 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9166,plain,
% 1.01/1.18 ((~(i37 = i50)) <=> (~(i37 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9165])).
% 1.01/1.18 tff(9167,plain,
% 1.01/1.18 ((~(i37 = i50)) <=> (~(i37 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9168,axiom,(~(i37 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp181')).
% 1.01/1.18 tff(9169,plain,
% 1.01/1.18 (~(i37 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 1.01/1.18 tff(9170,plain,
% 1.01/1.18 (~(i37 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9169, 9166])).
% 1.01/1.18 tff(9171,plain,
% 1.01/1.18 (select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850)) = select(store(a_1840, i3, e3), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1184, 17, 9170])).
% 1.01/1.18 tff(9172,plain,
% 1.01/1.18 (select(store(a_1840, i3, e3), sk(a_1800, a_1850)) = select(store(store(a_1840, i3, e3), i37, e37), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9171])).
% 1.01/1.18 tff(9173,plain,
% 1.01/1.18 ((i3 = i50) <=> (i3 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9174,plain,
% 1.01/1.18 ((~(i3 = i50)) <=> (~(i3 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9173])).
% 1.01/1.18 tff(9175,plain,
% 1.01/1.18 ((~(i3 = i50)) <=> (~(i3 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9176,axiom,(~(i3 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1184')).
% 1.01/1.18 tff(9177,plain,
% 1.01/1.18 (~(i3 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 1.01/1.18 tff(9178,plain,
% 1.01/1.18 (~(i3 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9177, 9174])).
% 1.01/1.18 tff(9179,plain,
% 1.01/1.18 (select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850)) = select(store(a_1839, i29, e29), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1203, 17, 9178])).
% 1.01/1.18 tff(9180,plain,
% 1.01/1.18 (select(store(a_1839, i29, e29), sk(a_1800, a_1850)) = select(store(store(a_1839, i29, e29), i3, e3), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9179])).
% 1.01/1.18 tff(9181,plain,
% 1.01/1.18 ((i29 = i50) <=> (i29 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9182,plain,
% 1.01/1.18 ((~(i29 = i50)) <=> (~(i29 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9181])).
% 1.01/1.18 tff(9183,plain,
% 1.01/1.18 ((~(i29 = i50)) <=> (~(i29 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9184,axiom,(~(i29 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp313')).
% 1.01/1.18 tff(9185,plain,
% 1.01/1.18 (~(i29 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 1.01/1.18 tff(9186,plain,
% 1.01/1.18 (~(i29 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9185, 9182])).
% 1.01/1.18 tff(9187,plain,
% 1.01/1.18 (select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850)) = select(store(a_1838, i48, e48), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[4098, 9186])).
% 1.01/1.18 tff(9188,plain,
% 1.01/1.18 (select(store(a_1838, i48, e48), sk(a_1800, a_1850)) = select(store(store(a_1838, i48, e48), i29, e29), sk(a_1800, a_1850))),
% 1.01/1.18 inference(symmetry,[status(thm)],[9187])).
% 1.01/1.18 tff(9189,plain,
% 1.01/1.18 ((i48 = i50) <=> (i48 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.18 tff(9190,plain,
% 1.01/1.18 ((~(i48 = i50)) <=> (~(i48 = sk(a_1800, a_1850)))),
% 1.01/1.18 inference(monotonicity,[status(thm)],[9189])).
% 1.01/1.18 tff(9191,plain,
% 1.01/1.18 ((~(i48 = i50)) <=> (~(i48 = i50))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(9192,axiom,(~(i48 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp104')).
% 1.01/1.18 tff(9193,plain,
% 1.01/1.18 (~(i48 = i50)),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9192, 9191])).
% 1.01/1.18 tff(9194,plain,
% 1.01/1.18 (~(i48 = sk(a_1800, a_1850))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[9193, 9190])).
% 1.01/1.18 tff(9195,plain,
% 1.01/1.18 (select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850)) = select(store(a_1837, i10, e10), sk(a_1800, a_1850))),
% 1.01/1.18 inference(unit_resolution,[status(thm)],[1241, 17, 9194])).
% 1.01/1.18 tff(9196,plain,
% 1.01/1.18 (select(store(a_1837, i10, e10), sk(a_1800, a_1850)) = select(store(store(a_1837, i10, e10), i48, e48), sk(a_1800, a_1850))),
% 1.01/1.20 inference(symmetry,[status(thm)],[9195])).
% 1.01/1.20 tff(9197,plain,
% 1.01/1.20 ((i10 = i50) <=> (i10 = sk(a_1800, a_1850))),
% 1.01/1.20 inference(monotonicity,[status(thm)],[9090])).
% 1.01/1.20 tff(9198,plain,
% 1.01/1.20 ((~(i10 = i50)) <=> (~(i10 = sk(a_1800, a_1850)))),
% 1.01/1.20 inference(monotonicity,[status(thm)],[9197])).
% 1.01/1.20 tff(9199,plain,
% 1.01/1.20 ((~(i10 = i50)) <=> (~(i10 = i50))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(9200,axiom,(~(i10 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp883')).
% 1.01/1.20 tff(9201,plain,
% 1.01/1.20 (~(i10 = i50)),
% 1.01/1.20 inference(modus_ponens,[status(thm)],[9200, 9199])).
% 1.01/1.20 tff(9202,plain,
% 1.01/1.20 (~(i10 = sk(a_1800, a_1850))),
% 1.01/1.20 inference(modus_ponens,[status(thm)],[9201, 9198])).
% 1.01/1.20 tff(9203,plain,
% 1.01/1.20 (select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850)) = select(store(a_1836, i2, e2), sk(a_1800, a_1850))),
% 1.01/1.20 inference(unit_resolution,[status(thm)],[1260, 17, 9202])).
% 1.01/1.20 tff(9204,plain,
% 1.01/1.20 (select(store(a_1836, i2, e2), sk(a_1800, a_1850)) = select(store(store(a_1836, i2, e2), i10, e10), sk(a_1800, a_1850))),
% 1.04/1.20 inference(symmetry,[status(thm)],[9203])).
% 1.04/1.20 tff(9205,plain,
% 1.04/1.20 (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = e_1853),
% 1.04/1.20 inference(transitivity,[status(thm)],[1269, 9204, 1250, 9196, 1231, 9188, 1212, 9180, 1193, 9172, 1174, 9164, 1155, 9156, 1136, 9148, 1117, 9140, 1098, 9132, 1079, 9124, 1060, 9116, 1042, 9108, 1034, 26])).
% 1.04/1.20 tff(9206,plain,
% 1.04/1.20 ((select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))) <=> (e_1853 = e_1852)),
% 1.04/1.20 inference(monotonicity,[status(thm)],[9205, 9100])).
% 1.04/1.20 tff(9207,plain,
% 1.04/1.20 ((select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))) <=> (e_1852 = e_1853)),
% 1.04/1.20 inference(transitivity,[status(thm)],[9206, 1])).
% 1.04/1.20 tff(9208,plain,
% 1.04/1.20 ((e_1852 = e_1853) <=> (select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))),
% 1.04/1.20 inference(symmetry,[status(thm)],[9207])).
% 1.04/1.20 tff(9209,plain,
% 1.04/1.20 ((~(e_1852 = e_1853)) <=> (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850))))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[9208])).
% 1.04/1.20 tff(9210,plain,
% 1.04/1.20 (~(select(store(store(a_1835, i50, e50), i2, e2), sk(a_1800, a_1850)) = select(store(a_1835, i50, e50), sk(a_1800, a_1850)))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[999, 9209])).
% 1.04/1.20 tff(9211,plain,
% 1.04/1.20 ((i2 = i50) <=> (i2 = sk(a_1800, a_1850))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[9090])).
% 1.04/1.20 tff(9212,plain,
% 1.04/1.20 ((~(i2 = i50)) <=> (~(i2 = sk(a_1800, a_1850)))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[9211])).
% 1.04/1.20 tff(9213,plain,
% 1.04/1.20 ((~(i2 = i50)) <=> (~(i2 = i50))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(9214,axiom,(~(i2 = i50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','hyp1231')).
% 1.04/1.20 tff(9215,plain,
% 1.04/1.20 (~(i2 = i50)),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 1.04/1.20 tff(9216,plain,
% 1.04/1.20 (~(i2 = sk(a_1800, a_1850))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[9215, 9212])).
% 1.04/1.20 tff(9217,plain,
% 1.04/1.20 ($false),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1279, 17, 9216, 9210])).
% 1.04/1.20 % SZS output end Proof
% 1.04/1.20 % E exiting
%------------------------------------------------------------------------------