TSTP Solution File: SYN457+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:03:21 EDT 2023
% Result : Theorem 0.74s 0.99s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SYN457+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n031.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 20:47:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.74/0.99 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.g2rnfYVud7/cvc5---1.0.5_26158.p...
% 0.74/0.99 ------- get file name : TPTP file name is SYN457+1
% 0.74/0.99 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26158.smt2...
% 0.74/0.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.99 % SZS status Theorem for SYN457+1
% 0.74/0.99 % SZS output start Proof for SYN457+1
% 0.74/0.99 (
% 0.74/0.99 (let ((_let_1 (tptp.c2_1 tptp.a1717))) (let ((_let_2 (tptp.c0_1 tptp.a1717))) (let ((_let_3 (tptp.c3_1 tptp.a1717))) (let ((_let_4 (not _let_3))) (let ((_let_5 (and tptp.ndr1_0 _let_4 _let_2 _let_1))) (let ((_let_6 (tptp.c3_1 tptp.a1715))) (let ((_let_7 (tptp.c1_1 tptp.a1715))) (let ((_let_8 (tptp.c2_1 tptp.a1715))) (let ((_let_9 (not _let_8))) (let ((_let_10 (and tptp.ndr1_0 _let_9 _let_7 _let_6))) (let ((_let_11 (tptp.c2_1 tptp.a1673))) (let ((_let_12 (tptp.c3_1 tptp.a1673))) (let ((_let_13 (tptp.c1_1 tptp.a1673))) (let ((_let_14 (not _let_13))) (let ((_let_15 (and tptp.ndr1_0 _let_14 _let_12 _let_11))) (let ((_let_16 (tptp.c3_1 tptp.a1665))) (let ((_let_17 (tptp.c1_1 tptp.a1665))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c0_1 tptp.a1665))) (let ((_let_20 (and tptp.ndr1_0 _let_19 _let_18 _let_16))) (let ((_let_21 (tptp.c0_1 tptp.a1656))) (let ((_let_22 (tptp.c2_1 tptp.a1656))) (let ((_let_23 (tptp.c3_1 tptp.a1656))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and tptp.ndr1_0 _let_24 _let_22 _let_21))) (let ((_let_26 (tptp.c3_1 tptp.a1654))) (let ((_let_27 (tptp.c2_1 tptp.a1654))) (let ((_let_28 (tptp.c0_1 tptp.a1654))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_26))) (let ((_let_30 (not tptp.hskp52))) (let ((_let_31 (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1644)) (not (tptp.c0_1 tptp.a1644)) (tptp.c3_1 tptp.a1644)))) (let ((_let_32 (tptp.c0_1 tptp.a1718))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c2_1 tptp.a1718))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c3_1 tptp.a1718))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_33))) (let ((_let_38 (tptp.c1_1 tptp.a1714))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c0_1 tptp.a1714))) (let ((_let_41 (and tptp.ndr1_0 (tptp.c2_1 tptp.a1714) _let_40 _let_39))) (let ((_let_42 (tptp.c3_1 tptp.a1695))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c0_1 tptp.a1695))) (let ((_let_45 (tptp.c2_1 tptp.a1695))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_43))) (let ((_let_47 (tptp.c2_1 tptp.a1691))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c1_1 tptp.a1691))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c3_1 tptp.a1691))) (let ((_let_52 (not _let_51))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_50 _let_48))) (let ((_let_54 (tptp.c3_1 tptp.a1682))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c1_1 tptp.a1682))) (let ((_let_57 (not _let_56))) (let ((_let_58 (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1682)) _let_57 _let_55))) (let ((_let_59 (tptp.c2_1 tptp.a1681))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c3_1 tptp.a1681))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c1_1 tptp.a1681))) (let ((_let_64 (not _let_63))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_62 _let_60))) (let ((_let_66 (tptp.c2_1 tptp.a1678))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c1_1 tptp.a1678))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c0_1 tptp.a1678))) (let ((_let_71 (not _let_70))) (let ((_let_72 (and tptp.ndr1_0 _let_71 _let_69 _let_67))) (let ((_let_73 (tptp.c1_1 tptp.a1677))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c2_1 tptp.a1677))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c0_1 tptp.a1677))) (let ((_let_78 (not _let_77))) (let ((_let_79 (and tptp.ndr1_0 _let_78 _let_76 _let_74))) (let ((_let_80 (tptp.c1_1 tptp.a1667))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c3_1 tptp.a1667))) (let ((_let_83 (tptp.c0_1 tptp.a1667))) (let ((_let_84 (and tptp.ndr1_0 _let_83 _let_82 _let_81))) (let ((_let_85 (tptp.c1_1 tptp.a1666))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c3_1 tptp.a1666))) (let ((_let_88 (tptp.c2_1 tptp.a1666))) (let ((_let_89 (and tptp.ndr1_0 _let_88 _let_87 _let_86))) (let ((_let_90 (tptp.c1_1 tptp.a1664))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c2_1 tptp.a1664))) (let ((_let_93 (not _let_92))) (let ((_let_94 (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1664)) _let_93 _let_91))) (let ((_let_95 (tptp.c2_1 tptp.a1655))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c0_1 tptp.a1655))) (let ((_let_98 (tptp.c3_1 tptp.a1655))) (let ((_let_99 (and tptp.ndr1_0 _let_98 _let_97 _let_96))) (let ((_let_100 (and tptp.ndr1_0 (tptp.c0_1 tptp.a1646) (not (tptp.c1_1 tptp.a1646)) (not (tptp.c2_1 tptp.a1646))))) (let ((_let_101 (tptp.c3_1 tptp.a1645))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c0_1 tptp.a1645))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c1_1 tptp.a1645))) (let ((_let_106 (not _let_105))) (let ((_let_107 (and tptp.ndr1_0 _let_106 _let_104 _let_102))) (let ((_let_108 (not (not (and (or (not tptp.hskp0) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1637) (tptp.c0_1 tptp.a1637) (not (tptp.c2_1 tptp.a1637)))) (or (not tptp.hskp1) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1643)) (tptp.c3_1 tptp.a1643) (not (tptp.c2_1 tptp.a1643)))) (or (not tptp.hskp2) _let_107) (or (not tptp.hskp3) _let_100) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1647) (not (tptp.c0_1 tptp.a1647)) (not (tptp.c2_1 tptp.a1647)))) (or (not tptp.hskp5) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1648) (not (tptp.c1_1 tptp.a1648)) (not (tptp.c0_1 tptp.a1648)))) (or (not tptp.hskp6) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1650)) (not (tptp.c2_1 tptp.a1650)) (not (tptp.c3_1 tptp.a1650)))) (or (not tptp.hskp7) _let_99) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1657) (not (tptp.c1_1 tptp.a1657)) (not (tptp.c0_1 tptp.a1657)))) (or (not tptp.hskp9) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1660)) (not (tptp.c0_1 tptp.a1660)) (not (tptp.c1_1 tptp.a1660)))) (or (not tptp.hskp10) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1663)) (not (tptp.c3_1 tptp.a1663)) (not (tptp.c0_1 tptp.a1663)))) (or (not tptp.hskp11) _let_94) (or (not tptp.hskp12) _let_89) (or (not tptp.hskp13) _let_84) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1671) (not (tptp.c1_1 tptp.a1671)) (not (tptp.c3_1 tptp.a1671)))) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1672) (tptp.c1_1 tptp.a1672) (not (tptp.c0_1 tptp.a1672)))) (or (not tptp.hskp16) _let_79) (or (not tptp.hskp17) _let_72) (or (not tptp.hskp18) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1680)) (not (tptp.c1_1 tptp.a1680)) (not (tptp.c0_1 tptp.a1680)))) (or (not tptp.hskp19) _let_65) (or (not tptp.hskp20) _let_58) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1683) (tptp.c2_1 tptp.a1683) (not (tptp.c1_1 tptp.a1683)))) (or (not tptp.hskp22) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1684)) (tptp.c2_1 tptp.a1684) (not (tptp.c3_1 tptp.a1684)))) (or (not tptp.hskp23) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1685)) (tptp.c2_1 tptp.a1685) (not (tptp.c1_1 tptp.a1685)))) (or (not tptp.hskp24) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1689)) (tptp.c3_1 tptp.a1689) (not (tptp.c1_1 tptp.a1689)))) (or (not tptp.hskp25) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1690) (not (tptp.c0_1 tptp.a1690)) (not (tptp.c1_1 tptp.a1690)))) (or (not tptp.hskp26) _let_53) (or (not tptp.hskp27) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1693)) (not (tptp.c3_1 tptp.a1693)) (not (tptp.c2_1 tptp.a1693)))) (or (not tptp.hskp28) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1694)) (tptp.c2_1 tptp.a1694) (not (tptp.c3_1 tptp.a1694)))) (or (not tptp.hskp29) _let_46) (or (not tptp.hskp30) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1698) (tptp.c3_1 tptp.a1698) (not (tptp.c0_1 tptp.a1698)))) (or (not tptp.hskp31) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1700) (not (tptp.c0_1 tptp.a1700)) (not (tptp.c3_1 tptp.a1700)))) (or (not tptp.hskp32) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1701) (tptp.c0_1 tptp.a1701) (not (tptp.c3_1 tptp.a1701)))) (or (not tptp.hskp33) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1704) (not (tptp.c0_1 tptp.a1704)) (not (tptp.c2_1 tptp.a1704)))) (or (not tptp.hskp34) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1705) (not (tptp.c3_1 tptp.a1705)) (not (tptp.c1_1 tptp.a1705)))) (or (not tptp.hskp35) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1706)) (not (tptp.c3_1 tptp.a1706)) (not (tptp.c1_1 tptp.a1706)))) (or (not tptp.hskp36) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1712)) (not (tptp.c0_1 tptp.a1712)) (not (tptp.c1_1 tptp.a1712)))) (or (not tptp.hskp37) _let_41) (or (not tptp.hskp38) _let_37) (or (not tptp.hskp39) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1721)) (tptp.c3_1 tptp.a1721) (not (tptp.c0_1 tptp.a1721)))) (or (not tptp.hskp40) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1725) (tptp.c3_1 tptp.a1725) (not (tptp.c2_1 tptp.a1725)))) (or (not tptp.hskp41) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1726) (tptp.c2_1 tptp.a1726) (not (tptp.c1_1 tptp.a1726)))) (or (not tptp.hskp42) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1638) (not (tptp.c3_1 tptp.a1638)) (tptp.c0_1 tptp.a1638))) (or (not tptp.hskp43) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1639)) (tptp.c2_1 tptp.a1639) (tptp.c0_1 tptp.a1639))) (or (not tptp.hskp44) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1640) (tptp.c2_1 tptp.a1640) (tptp.c1_1 tptp.a1640))) (or (not tptp.hskp45) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1641)) (not (tptp.c1_1 tptp.a1641)) (tptp.c2_1 tptp.a1641))) (or (not tptp.hskp46) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1642)) (not (tptp.c1_1 tptp.a1642)) (tptp.c0_1 tptp.a1642))) (or (not tptp.hskp47) _let_31) (or (not tptp.hskp48) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1649)) (not (tptp.c2_1 tptp.a1649)) (tptp.c0_1 tptp.a1649))) (or (not tptp.hskp49) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1651) (not (tptp.c2_1 tptp.a1651)) (tptp.c1_1 tptp.a1651))) (or (not tptp.hskp50) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1652) (tptp.c2_1 tptp.a1652) (tptp.c0_1 tptp.a1652))) (or (not tptp.hskp51) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1653) (not (tptp.c0_1 tptp.a1653)) (tptp.c1_1 tptp.a1653))) (or _let_30 _let_29) (or (not tptp.hskp53) _let_25) (or (not tptp.hskp54) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1658) (not (tptp.c0_1 tptp.a1658)) (tptp.c1_1 tptp.a1658))) (or (not tptp.hskp55) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1661)) (not (tptp.c3_1 tptp.a1661)) (tptp.c1_1 tptp.a1661))) (or (not tptp.hskp56) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1662) (not (tptp.c2_1 tptp.a1662)) (tptp.c1_1 tptp.a1662))) (or (not tptp.hskp57) _let_20) (or (not tptp.hskp58) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1668)) (not (tptp.c1_1 tptp.a1668)) (tptp.c3_1 tptp.a1668))) (or (not tptp.hskp59) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1669) (not (tptp.c2_1 tptp.a1669)) (tptp.c0_1 tptp.a1669))) (or (not tptp.hskp60) _let_15) (or (not tptp.hskp61) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1674)) (not (tptp.c2_1 tptp.a1674)) (tptp.c3_1 tptp.a1674))) (or (not tptp.hskp62) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1675)) (tptp.c1_1 tptp.a1675) (tptp.c0_1 tptp.a1675))) (or (not tptp.hskp63) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1676)) (tptp.c2_1 tptp.a1676) (tptp.c3_1 tptp.a1676))) (or (not tptp.hskp64) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1686)) (not (tptp.c1_1 tptp.a1686)) (tptp.c0_1 tptp.a1686))) (or (not tptp.hskp65) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a1687)) (not (tptp.c0_1 tptp.a1687)) (tptp.c2_1 tptp.a1687))) (or (not tptp.hskp66) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1692)) (not (tptp.c2_1 tptp.a1692)) (tptp.c0_1 tptp.a1692))) (or (not tptp.hskp67) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1702) (tptp.c2_1 tptp.a1702) (tptp.c3_1 tptp.a1702))) (or (not tptp.hskp68) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1707)) (tptp.c3_1 tptp.a1707) (tptp.c0_1 tptp.a1707))) (or (not tptp.hskp69) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1709)) (tptp.c0_1 tptp.a1709) (tptp.c3_1 tptp.a1709))) (or (not tptp.hskp70) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1710)) (not (tptp.c3_1 tptp.a1710)) (tptp.c1_1 tptp.a1710))) (or (not tptp.hskp71) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a1713)) (tptp.c3_1 tptp.a1713) (tptp.c0_1 tptp.a1713))) (or (not tptp.hskp72) _let_10) (or (not tptp.hskp73) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1716) (not (tptp.c3_1 tptp.a1716)) (tptp.c0_1 tptp.a1716))) (or (not tptp.hskp74) _let_5) (or (not tptp.hskp75) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1724) (not (tptp.c2_1 tptp.a1724)) (tptp.c3_1 tptp.a1724))) (or tptp.hskp0 (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c3_1 U)))) tptp.hskp42) (or tptp.hskp43 tptp.hskp44 tptp.hskp45) (or (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (not (tptp.c1_1 V)) (tptp.c2_1 V)))) tptp.hskp46 (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 W)) (tptp.c0_1 W) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X) (tptp.c0_1 X) (tptp.c3_1 X)))) tptp.hskp1 (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (tptp.c2_1 Y))))) (or tptp.hskp47 tptp.hskp2 tptp.hskp3) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Z) (tptp.c0_1 Z) (not (tptp.c3_1 Z))))) tptp.hskp4 tptp.hskp5) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X1)) (not (tptp.c3_1 X1)) (tptp.c2_1 X1)))) tptp.hskp48 tptp.hskp6) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X2) (tptp.c0_1 X2) (not (tptp.c1_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X3) (tptp.c2_1 X3) (tptp.c0_1 X3)))) tptp.hskp49) (or tptp.hskp50 (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X4)) (not (tptp.c0_1 X4)) (not (tptp.c2_1 X4))))) tptp.hskp51) (or tptp.hskp52 (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X5)) (not (tptp.c0_1 X5)) (tptp.c3_1 X5)))) tptp.hskp7) (or tptp.hskp53 tptp.hskp8 tptp.hskp54) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X6) (tptp.c3_1 X6) (tptp.c0_1 X6)))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X7)) (tptp.c1_1 X7) (not (tptp.c2_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X8)) (not (tptp.c3_1 X8)) (not (tptp.c2_1 X8)))))) (or tptp.hskp2 (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X9) (tptp.c1_1 X9) (not (tptp.c0_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X10)) (tptp.c3_1 X10) (not (tptp.c0_1 X10)))))) (or tptp.hskp9 tptp.hskp55 (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X11)) (not (tptp.c2_1 X11)) (tptp.c3_1 X11))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X12)) (tptp.c1_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X13) (tptp.c0_1 X13) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X14) (not (tptp.c3_1 X14)) (not (tptp.c0_1 X14)))))) (or tptp.hskp56 (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X15) (tptp.c3_1 X15) (tptp.c0_1 X15)))) tptp.hskp10) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X16)) (tptp.c2_1 X16) (not (tptp.c3_1 X16))))) tptp.hskp11 tptp.hskp57) (or tptp.hskp12 tptp.hskp13 (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)) (not (tptp.c1_1 X17)))))) (or tptp.hskp58 tptp.hskp59 (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X18) (not (tptp.c0_1 X18)) (tptp.c2_1 X18))))) (or tptp.hskp10 tptp.hskp14 tptp.hskp15) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X19)) (tptp.c1_1 X19) (not (tptp.c3_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X20)) (tptp.c2_1 X20) (tptp.c0_1 X20)))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X21) (not (tptp.c0_1 X21)) (not (tptp.c3_1 X21)))))) (or tptp.hskp60 (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c1_1 X22) (not (tptp.c3_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X23) (not (tptp.c2_1 X23)) (tptp.c1_1 X23))))) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X24)) (not (tptp.c3_1 X24)) (tptp.c0_1 X24)))) tptp.hskp61 tptp.hskp62) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X25)) (not (tptp.c2_1 X25)) (tptp.c3_1 X25)))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X26)) (not (tptp.c3_1 X26)) (tptp.c1_1 X26)))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c3_1 X27)) (tptp.c1_1 X27))))) (or tptp.hskp63 (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X28) (not (tptp.c0_1 X28)) (not (tptp.c3_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X29)) (not (tptp.c1_1 X29)) (not (tptp.c3_1 X29)))))) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X30)) (tptp.c1_1 X30) (not (tptp.c3_1 X30))))) tptp.hskp16 tptp.hskp17) (or tptp.hskp60 tptp.hskp18 (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X31) (not (tptp.c2_1 X31)) (tptp.c3_1 X31))))) (or tptp.hskp19 (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X32)) (not (tptp.c1_1 X32)) (tptp.c3_1 X32)))) tptp.hskp20) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X33)) (tptp.c0_1 X33) (tptp.c2_1 X33)))) tptp.hskp21 (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X34)) (tptp.c2_1 X34) (tptp.c3_1 X34))))) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X35)) (tptp.c0_1 X35) (tptp.c3_1 X35)))) tptp.hskp22 (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X36) (not (tptp.c0_1 X36)) (tptp.c2_1 X36))))) (or tptp.hskp23 tptp.hskp64 tptp.hskp65) (or tptp.hskp61 tptp.hskp24 (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X37)) (tptp.c1_1 X37) (tptp.c0_1 X37))))) (or tptp.hskp25 (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (tptp.c0_1 X38) (tptp.c3_1 X38)))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X39)) (not (tptp.c3_1 X39)) (tptp.c0_1 X39))))) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X40)) (not (tptp.c3_1 X40)) (not (tptp.c0_1 X40))))) tptp.hskp26 (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X41)) (not (tptp.c3_1 X41)) (tptp.c1_1 X41))))) (or tptp.hskp66 tptp.hskp27 tptp.hskp28) (or tptp.hskp29 tptp.hskp52 tptp.hskp53) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X42)) (not (tptp.c1_1 X42)) (tptp.c2_1 X42)))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (not (tptp.c3_1 X43)) (tptp.c1_1 X43)))) tptp.hskp30) (or tptp.hskp63 tptp.hskp31 tptp.hskp32) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (not (tptp.c3_1 X44)) (not (tptp.c2_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X45)) (not (tptp.c0_1 X45)) (tptp.c1_1 X45)))) tptp.hskp67) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c3_1 X46))))) tptp.hskp61 tptp.hskp33) (or tptp.hskp34 (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X47)) (not (tptp.c3_1 X47)) (tptp.c2_1 X47)))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (not (tptp.c0_1 X48)) (not (tptp.c2_1 X48)))))) (or tptp.hskp35 tptp.hskp68 (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c1_1 X49)) (tptp.c2_1 X49))))) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (not (tptp.c1_1 X50)) (not (tptp.c3_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X51)) (not (tptp.c0_1 X51)) (not (tptp.c3_1 X51))))) tptp.hskp13) (or tptp.hskp69 (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X52)) (tptp.c2_1 X52) (tptp.c3_1 X52)))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X53)) (tptp.c0_1 X53) (tptp.c1_1 X53))))) (or tptp.hskp70 (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c0_1 X54) (not (tptp.c2_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (tptp.c0_1 X55) (tptp.c3_1 X55))))) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X56)) (not (tptp.c1_1 X56)) (not (tptp.c0_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c3_1 X57))))) tptp.hskp0) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X58) (not (tptp.c1_1 X58)) (tptp.c0_1 X58)))) tptp.hskp36 tptp.hskp71) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X59) (tptp.c1_1 X59) (tptp.c3_1 X59)))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c2_1 X60) (tptp.c0_1 X60)))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c2_1 X61)))))) (or tptp.hskp37 (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X62) (tptp.c0_1 X62) (tptp.c2_1 X62)))) tptp.hskp72) (or tptp.hskp73 (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X63)) (not (tptp.c3_1 X63)) (tptp.c0_1 X63)))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X64)) (not (tptp.c2_1 X64)) (tptp.c1_1 X64))))) (or tptp.hskp74 tptp.hskp38 (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X65)) (not (tptp.c2_1 X65)) (not (tptp.c0_1 X65)))))) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X66)) (not (tptp.c0_1 X66)) (not (tptp.c3_1 X66))))) tptp.hskp47 (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X67)) (tptp.c3_1 X67) (tptp.c2_1 X67))))) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (tptp.c2_1 X68) (not (tptp.c3_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X69)) (not (tptp.c0_1 X69)) (not (tptp.c1_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X70)) (tptp.c2_1 X70) (tptp.c1_1 X70))))) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X71)) (tptp.c1_1 X71) (tptp.c3_1 X71)))) tptp.hskp57 (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c0_1 X72)))))) (or tptp.hskp39 (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X73) (not (tptp.c3_1 X73)) (not (tptp.c2_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (not (tptp.c0_1 X74)) (not (tptp.c3_1 X74)))))) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X75) (tptp.c1_1 X75) (not (tptp.c3_1 X75))))) tptp.hskp29 (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X76)) (tptp.c1_1 X76) (not (tptp.c3_1 X76)))))) (or tptp.hskp61 (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X78)) (tptp.c2_1 X78) (tptp.c3_1 X78))))) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X79)) (tptp.c3_1 X79) (not (tptp.c1_1 X79))))) tptp.hskp75 (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X80)) (tptp.c1_1 X80) (tptp.c2_1 X80))))) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (not (tptp.c2_1 X81)) (tptp.c3_1 X81)))) tptp.hskp40 (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X82)) (not (tptp.c1_1 X82)) (not (tptp.c3_1 X82)))))) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X83) (not (tptp.c1_1 X83)) (tptp.c0_1 X83)))) tptp.hskp41 tptp.hskp30)))))) (let ((_let_109 (not _let_12))) (let ((_let_110 (not _let_11))) (let ((_let_111 (or _let_110 _let_13 _let_109))) (let ((_let_112 (forall ((X19 $$unsorted)) (or (not (tptp.c2_1 X19)) (tptp.c1_1 X19) (not (tptp.c3_1 X19)))))) (let ((_let_113 (not _let_111))) (let ((_let_114 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_115 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_116 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_117 (forall ((X61 $$unsorted)) (or (tptp.c3_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c2_1 X61)))))) (let ((_let_118 (forall ((X14 $$unsorted)) (or (tptp.c2_1 X14) (not (tptp.c3_1 X14)) (not (tptp.c0_1 X14)))))) (let ((_let_119 (forall ((X3 $$unsorted)) (or (tptp.c1_1 X3) (tptp.c2_1 X3) (tptp.c0_1 X3))))) (let ((_let_120 (not _let_115))) (let ((_let_121 (not _let_116))) (let ((_let_122 (or _let_121 _let_120 _let_114))) (let ((_let_123 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c3_1 U))))) (let ((_let_124 (not _let_122))) (let ((_let_125 (not _let_123))) (let ((_let_126 (not _let_27))) (let ((_let_127 (not _let_26))) (let ((_let_128 (not _let_28))) (let ((_let_129 (or _let_128 _let_127 _let_126))) (let ((_let_130 (forall ((X8 $$unsorted)) (or (not (tptp.c0_1 X8)) (not (tptp.c3_1 X8)) (not (tptp.c2_1 X8)))))) (let ((_let_131 (forall ((X40 $$unsorted)) (or (not (tptp.c2_1 X40)) (not (tptp.c3_1 X40)) (not (tptp.c0_1 X40)))))) (let ((_let_132 (forall ((X65 $$unsorted)) (or (not (tptp.c3_1 X65)) (not (tptp.c2_1 X65)) (not (tptp.c0_1 X65)))))) (let ((_let_133 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_136 (not _let_135))) (let ((_let_137 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_136 _let_134))) (let ((_let_140 (forall ((X60 $$unsorted)) (or (tptp.c1_1 X60) (tptp.c2_1 X60) (tptp.c0_1 X60))))) (let ((_let_141 (forall ((X59 $$unsorted)) (or (tptp.c2_1 X59) (tptp.c1_1 X59) (tptp.c3_1 X59))))) (let ((_let_142 (or _let_47 _let_49 _let_51))) (let ((_let_143 (forall ((X41 $$unsorted)) (or (not (tptp.c2_1 X41)) (not (tptp.c3_1 X41)) (tptp.c1_1 X41))))) (let ((_let_144 (not _let_87))) (let ((_let_145 (not _let_88))) (let ((_let_146 (or _let_145 _let_85 _let_144))) (let ((_let_147 (tptp.c1_1 tptp.a1654))) (let ((_let_148 (or _let_126 _let_147 _let_127))) (let ((_let_149 (not _let_147))) (let ((_let_150 (or _let_126 _let_127 _let_149))) (let ((_let_151 (forall ((X17 $$unsorted)) (or (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)) (not (tptp.c1_1 X17)))))) (let ((_let_152 (forall ((X26 $$unsorted)) (or (not (tptp.c0_1 X26)) (not (tptp.c3_1 X26)) (tptp.c1_1 X26))))) (let ((_let_153 (not _let_82))) (let ((_let_154 (not _let_83))) (let ((_let_155 (or _let_154 _let_153 _let_80))) (let ((_let_156 (not _let_29))) (let ((_let_157 (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_27 _let_156))))) (let ((_let_158 (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_26 _let_156))))) (let ((_let_159 (not _let_129))) (let ((_let_160 (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_156))))) (let ((_let_161 (_let_129))) (let ((_let_162 (REORDERING (CNF_OR_POS :args _let_161) :args ((or _let_128 _let_126 _let_127 _let_159))))) (let ((_let_163 (MACRO_RESOLUTION_TRUST _let_162 _let_158 _let_157 _let_160 :args ((or _let_156 _let_159) false _let_26 false _let_27 false _let_28)))) (let ((_let_164 (_let_130))) (let ((_let_165 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_164) :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X8) false))))) :args _let_164)))) (let ((_let_166 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_130 (= X8 X40))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X40 $$unsorted)) (or (not (tptp.c0_1 X40)) (not (tptp.c3_1 X40)) (not (tptp.c2_1 X40)))) _let_131) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_167 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_130 (= X8 X65))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X65 $$unsorted)) (or (not (tptp.c0_1 X65)) (not (tptp.c3_1 X65)) (not (tptp.c2_1 X65)))) _let_132) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_168 (or))) (let ((_let_169 (not _let_130))) (let ((_let_170 (_let_169))) (let ((_let_171 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_170)) :args _let_170)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_169) _let_130))) (REFL :args ((not _let_139))) :args _let_168)))) (let ((_let_172 (not _let_44))) (let ((_let_173 (not _let_45))) (let ((_let_174 (or _let_173 _let_172 _let_42))) (let ((_let_175 (not _let_21))) (let ((_let_176 (not _let_22))) (let ((_let_177 (or _let_176 _let_175 _let_23))) (let ((_let_178 (not _let_2))) (let ((_let_179 (not _let_1))) (let ((_let_180 (or _let_179 _let_178 _let_3))) (let ((_let_181 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_182 (or _let_138 _let_136 _let_181))) (let ((_let_183 (not _let_181))) (let ((_let_184 (or _let_183 _let_138 _let_136))) (let ((_let_185 (forall ((X51 $$unsorted)) (or (not (tptp.c1_1 X51)) (not (tptp.c0_1 X51)) (not (tptp.c3_1 X51)))))) (let ((_let_186 (or _let_134 _let_136 _let_183))) (let ((_let_187 (REFL :args (_let_139)))) (let ((_let_188 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_139 2)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_133))) :args _let_168)) :args ((or _let_133 _let_139))))) (let ((_let_189 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_139 1)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) :args _let_168)) :args ((or _let_135 _let_139))))) (let ((_let_190 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_139 0)) (CONG _let_187 (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_137))) :args _let_168)) :args ((or _let_137 _let_139))))) (let ((_let_191 (_let_123))) (let ((_let_192 ((not (= (tptp.c2_1 U) false))))) (let ((_let_193 (ASSUME :args _let_191))) (let ((_let_194 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (tptp.a1695 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)))) (let ((_let_195 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (tptp.a1656 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(AND_ELIM _let_206 :args (2)))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_206 :args (80)) :args ((or tptp.hskp2 tptp.hskp3 tptp.hskp47))) (AND_ELIM _let_206 :args (47)) (AND_ELIM _let_206 :args (3)) _let_211 (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or tptp.ndr1_0 (not _let_31)))) (REORDERING (CNF_AND_POS :args (_let_100 0)) :args ((or tptp.ndr1_0 (not _let_100)))) (REORDERING (CNF_AND_POS :args (_let_107 0)) :args ((or tptp.ndr1_0 _let_210))) :args (tptp.ndr1_0 true tptp.hskp47 true tptp.hskp3 true tptp.hskp2 true _let_31 true _let_100 true _let_107)))) (let ((_let_213 (not tptp.ndr1_0))) (let ((_let_214 (REORDERING (AND_ELIM _let_206 :args (126)) :args ((or tptp.hskp38 tptp.hskp74 _let_213 _let_132))))) (let ((_let_215 (AND_ELIM _let_206 :args (38)))) (let ((_let_216 (not _let_37))) (let ((_let_217 (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_216))))) (let ((_let_218 (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_35 _let_216))))) (let ((_let_219 (REORDERING (CNF_AND_POS :args (_let_37 3)) :args ((or _let_33 _let_216))))) (let ((_let_220 (forall ((X76 $$unsorted)) (or (not (tptp.c0_1 X76)) (tptp.c1_1 X76) (not (tptp.c3_1 X76)))))) (let ((_let_221 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_222 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_223 (not _let_222))) (let ((_let_224 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_223 _let_221))) (let ((_let_227 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_228 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_229 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_230 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_152 (= X26 X76))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X76 $$unsorted)) (or (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76)) (tptp.c1_1 X76))) _let_220) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_231 (not _let_152))) (let ((_let_232 (_let_231))) (let ((_let_233 (REFL :args (_let_226)))) (let ((_let_234 (or _let_227 _let_228 _let_229))) (let ((_let_235 (not _let_234))) (let ((_let_236 (tptp.c0_1 tptp.a1691))) (let ((_let_237 (or _let_49 _let_47 _let_236))) (let ((_let_238 (tptp.c1_1 tptp.a1718))) (let ((_let_239 (or _let_238 _let_34 _let_32))) (let ((_let_240 (tptp.c2_1 tptp.a1645))) (let ((_let_241 (or _let_105 _let_240 _let_103))) (let ((_let_242 (forall ((X30 $$unsorted)) (or (not (tptp.c0_1 X30)) (tptp.c1_1 X30) (not (tptp.c3_1 X30)))))) (let ((_let_243 (not _let_16))) (let ((_let_244 (not _let_19))) (let ((_let_245 (or _let_244 _let_243 _let_17))) (let ((_let_246 (tptp.c1_1 tptp.a1655))) (let ((_let_247 (not _let_98))) (let ((_let_248 (not _let_97))) (let ((_let_249 (or _let_248 _let_247 _let_246))) (let ((_let_250 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_251 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_252 (not _let_251))) (let ((_let_253 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_254 (not _let_253))) (let ((_let_255 (or _let_254 _let_252 _let_250))) (let ((_let_256 (forall ((X50 $$unsorted)) (or (tptp.c2_1 X50) (not (tptp.c1_1 X50)) (not (tptp.c3_1 X50)))))) (let ((_let_257 (forall ((X47 $$unsorted)) (or (not (tptp.c1_1 X47)) (not (tptp.c3_1 X47)) (tptp.c2_1 X47))))) (let ((_let_258 (not _let_36))) (let ((_let_259 (not _let_238))) (let ((_let_260 (or _let_259 _let_258 _let_34))) (let ((_let_261 (not _let_236))) (let ((_let_262 (or _let_49 _let_261 _let_47))) (let ((_let_263 (forall ((Y $$unsorted)) (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (tptp.c2_1 Y))))) (let ((_let_264 (forall ((X70 $$unsorted)) (or (not (tptp.c0_1 X70)) (tptp.c2_1 X70) (tptp.c1_1 X70))))) (let ((_let_265 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_266 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_267 (not _let_266))) (let ((_let_268 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_269 (or _let_268 _let_267 _let_265))) (let ((_let_270 (not _let_119))) (let ((_let_271 (_let_119))) (let ((_let_272 ((not (= (tptp.c1_1 X3) true))))) (let ((_let_273 (ASSUME :args _let_271))) (let ((_let_274 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a1691 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)))) (let ((_let_275 (or _let_73 _let_75 _let_77))) (let ((_let_276 (or _let_68 _let_66 _let_70))) (let ((_let_277 (not _let_275))) (let ((_let_278 (not _let_79))) (let ((_let_279 (not _let_72))) (let ((_let_280 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_276)) :args ((or _let_70 _let_68 _let_66 (not _let_276)))) (REORDERING (CNF_AND_POS :args (_let_72 3)) :args ((or _let_67 _let_279))) (REORDERING (CNF_AND_POS :args (_let_72 2)) :args ((or _let_69 _let_279))) (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_71 _let_279))) (AND_ELIM _let_206 :args (17)) (AND_ELIM _let_206 :args (101)) _let_212 (AND_ELIM _let_206 :args (16)) 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(not _let_240))) (let ((_let_382 (or _let_101 _let_381 _let_105))) (let ((_let_383 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_384 (or _let_114 _let_121 _let_383))) (let ((_let_385 (not _let_383))) (let ((_let_386 (or _let_385 _let_114 _let_120))) (let ((_let_387 (forall ((X10 $$unsorted)) (or (not (tptp.c1_1 X10)) (tptp.c3_1 X10) (not (tptp.c0_1 X10)))))) (let ((_let_388 (not _let_241))) (let ((_let_389 (_let_125))) (let ((_let_390 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_389)) :args _let_389)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_123))) (REFL :args (_let_124)) :args _let_168)))) (let ((_let_391 (REFL :args (_let_122)))) (let ((_let_392 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 0)) (CONG _let_391 (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_116))) :args _let_168)) :args ((or _let_116 _let_122))))) (let ((_let_393 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 1)) (CONG _let_391 (MACRO_SR_PRED_INTRO :args 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:args ((= (not _let_270) _let_119))) (REFL :args (_let_235)) :args _let_168)))) (let ((_let_417 (MACRO_RESOLUTION_TRUST _let_416 _let_414 :args (_let_235 true _let_119)))) (let ((_let_418 (CNF_OR_NEG :args (_let_234 0)))) (let ((_let_419 (MACRO_RESOLUTION_TRUST _let_418 _let_417 :args ((not _let_227) true _let_234)))) (let ((_let_420 (CNF_OR_NEG :args (_let_234 1)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST _let_420 _let_417 :args ((not _let_228) true _let_234)))) (let ((_let_422 (CNF_OR_NEG :args (_let_234 2)))) (let ((_let_423 (MACRO_RESOLUTION_TRUST _let_422 _let_417 :args ((not _let_229) true _let_234)))) (let ((_let_424 (forall ((X75 $$unsorted)) (or (tptp.c0_1 X75) (tptp.c1_1 X75) (not (tptp.c3_1 X75)))))) (let ((_let_425 (forall ((Z $$unsorted)) (or (tptp.c1_1 Z) (tptp.c0_1 Z) (not (tptp.c3_1 Z)))))) (let ((_let_426 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_427 (not _let_426))) (let ((_let_428 (or _let_227 _let_229 _let_427))) (let ((_let_429 (or _let_228 _let_229 _let_426))) (let ((_let_430 (forall ((X $$unsorted)) (or (tptp.c2_1 X) (tptp.c0_1 X) (tptp.c3_1 X))))) (let ((_let_431 (forall ((X6 $$unsorted)) (or (tptp.c2_1 X6) (tptp.c3_1 X6) (tptp.c0_1 X6))))) (let ((_let_432 (forall ((X7 $$unsorted)) (or (not (tptp.c0_1 X7)) (tptp.c1_1 X7) (not (tptp.c2_1 X7)))))) (let ((_let_433 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_434 (not _let_433))) (let ((_let_435 (or _let_225 _let_221 _let_434))) (let ((_let_436 (or _let_138 _let_181 _let_134))) (let ((_let_437 (or _let_221 _let_225 _let_433))) (let ((_let_438 (or _let_221 _let_433 _let_223))) (let ((_let_439 (AND_ELIM _let_206 :args (131)))) (let ((_let_440 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_425 (= Z X75))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X75 $$unsorted)) (or (tptp.c1_1 X75) (tptp.c0_1 X75) (not (tptp.c3_1 X75)))) _let_424) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_441 (_let_425))) (let ((_let_442 (ASSUME :args _let_441))) (let ((_let_443 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 Z) true))))) :args _let_441)))) (let ((_let_444 (REORDERING (CNF_OR_POS :args (_let_428)) :args ((or _let_227 _let_229 _let_427 (not _let_428)))))) (let ((_let_445 (_let_430))) (let ((_let_446 ((not (= (tptp.c2_1 X) true))))) (let ((_let_447 (ASSUME :args _let_445))) (let ((_let_448 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_430 (= X X6))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X6 $$unsorted)) (or (tptp.c2_1 X6) (tptp.c0_1 X6) (tptp.c3_1 X6))) _let_431) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_449 (AND_ELIM _let_206 :args (87)))) (let ((_let_450 (_let_432))) (let ((_let_451 ((not (= (tptp.c0_1 X7) false))))) (let ((_let_452 (ASSUME :args _let_450))) (let ((_let_453 (or _let_238 _let_32 _let_258))) (let ((_let_454 (or _let_238 _let_34 _let_258))) (let ((_let_455 (tptp.c0_1 tptp.a1664))) (let ((_let_456 (not _let_455))) (let ((_let_457 (or _let_90 _let_456 _let_92))) (let ((_let_458 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_459 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_460 (not _let_459))) (let ((_let_461 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_462 (or _let_461 _let_460 _let_458))) (let ((_let_463 (tptp.c3_1 tptp.a1714))) (let ((_let_464 (not _let_463))) (let ((_let_465 (not _let_40))) (let ((_let_466 (or _let_465 _let_464 _let_38))) (let ((_let_467 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_468 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_469 (not _let_468))) (let ((_let_470 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_471 (not _let_470))) (let ((_let_472 (or _let_471 _let_469 _let_467))) (let ((_let_473 (or _let_128 _let_147 _let_126))) (let ((_let_474 (forall ((X16 $$unsorted)) (or (not (tptp.c0_1 X16)) (tptp.c2_1 X16) (not (tptp.c3_1 X16)))))) (let ((_let_475 (forall ((X21 $$unsorted)) (or (tptp.c2_1 X21) (not (tptp.c0_1 X21)) (not (tptp.c3_1 X21)))))) (let ((_let_476 (forall ((X20 $$unsorted)) (or (not (tptp.c3_1 X20)) (tptp.c2_1 X20) (tptp.c0_1 X20))))) (let ((_let_477 (forall ((X13 $$unsorted)) (or (tptp.c2_1 X13) (tptp.c0_1 X13) (not (tptp.c3_1 X13)))))) (let ((_let_478 (or _let_90 _let_92 _let_455))) (let ((_let_479 (or _let_228 _let_229 _let_427))) (let ((_let_480 (or _let_228 _let_227 _let_426))) (let ((_let_481 (not _let_462))) (let ((_let_482 (not _let_472))) (let ((_let_483 (not _let_466))) (let ((_let_484 (not _let_457))) (let ((_let_485 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_486 (not _let_485))) (let ((_let_487 (or _let_471 _let_467 _let_486))) (let ((_let_488 (or _let_486 _let_471 _let_468))) (let ((_let_489 (or _let_468 _let_467 _let_471))) (let ((_let_490 (forall ((X12 $$unsorted)) (or (not (tptp.c0_1 X12)) (tptp.c1_1 X12) (tptp.c3_1 X12))))) (let ((_let_491 (or _let_47 _let_236 _let_51))) (let ((_let_492 (not _let_432))) (let ((_let_493 (_let_492))) (let ((_let_494 (REFL :args (_let_487)))) (let ((_let_495 ((not (= (tptp.c1_1 X9) true))))) (let ((_let_496 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_123 (= U X61))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X61 $$unsorted)) (or (not (tptp.c2_1 X61)) (not (tptp.c0_1 X61)) (tptp.c3_1 X61))) _let_117) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_497 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_370 (= X9 X12))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X12 $$unsorted)) (or (tptp.c3_1 X12) (tptp.c1_1 X12) (not (tptp.c0_1 X12)))) _let_490) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_498 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_119 (= X3 X60)))))) (let ((_let_499 (AND_ELIM _let_206 :args (123)))) (let ((_let_500 (_let_141))) (let ((_let_501 ((not (= (tptp.c2_1 X59) true))))) (let ((_let_502 (ASSUME :args _let_500))) (let ((_let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_502 :args (tptp.a1691 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_501)) :args _let_500)))) (let ((_let_504 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_502 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_501)) :args _let_500)))) (let ((_let_505 (not _let_142))) (let ((_let_506 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_51 _let_49 _let_47 _let_505))) _let_358 _let_357 _let_395 :args ((or _let_356 _let_505) true _let_47 true _let_49 true _let_51)))) (let ((_let_507 (REORDERING (CNF_OR_POS :args (_let_480)) :args ((or _let_227 _let_228 _let_426 (not _let_480)))))) (let ((_let_508 (not _let_479))) (let ((_let_509 (REORDERING (CNF_OR_POS :args (_let_479)) :args ((or _let_228 _let_229 _let_427 _let_508))))) (let ((_let_510 (_let_477))) (let ((_let_511 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_510) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X13) true))))) :args _let_510)))) (let ((_let_512 (AND_ELIM _let_206 :args (90)))) (let ((_let_513 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_297 (= X1 X14))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X14 $$unsorted)) (or (not (tptp.c0_1 X14)) (not (tptp.c3_1 X14)) (tptp.c2_1 X14))) _let_118) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_514 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a1664 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)))) (let ((_let_515 (not _let_478))) (let ((_let_516 (not _let_94))) (let ((_let_517 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_478)) :args ((or _let_92 _let_90 _let_455 _let_515))) (REORDERING (CNF_OR_POS :args (_let_457)) :args ((or _let_92 _let_90 _let_456 _let_484))) (REORDERING (CNF_AND_POS :args (_let_94 3)) :args ((or _let_91 _let_516))) (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_93 _let_516))) :args ((or _let_516 _let_484 _let_515) true _let_455 true _let_90 true _let_92)))) (let ((_let_518 (AND_ELIM _let_206 :args (11)))) (let ((_let_519 (AND_ELIM _let_206 :args (92)))) (let ((_let_520 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_297 (= X1 X16))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X16 $$unsorted)) (or (not (tptp.c0_1 X16)) (not (tptp.c3_1 X16)) (tptp.c2_1 X16))) _let_474) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_521 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (tptp.a1691 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_446)) :args _let_445)))) (let ((_let_522 (REORDERING (CNF_OR_POS :args (_let_491)) :args ((or _let_51 _let_47 _let_236 (not _let_491)))))) (let ((_let_523 (or _let_149 _let_128 _let_127))) (let ((_let_524 (not _let_6))) (let ((_let_525 (not _let_7))) (let ((_let_526 (or _let_525 _let_524 _let_8))) (let ((_let_527 (forall ((X62 $$unsorted)) (or (tptp.c3_1 X62) (tptp.c0_1 X62) (tptp.c2_1 X62))))) (let ((_let_528 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_529 (not _let_458))) (let ((_let_530 (or _let_529 _let_460 _let_528))) (let ((_let_531 (or _let_528 _let_461 _let_460))) (let 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(tptp.c3_1 X25))))) (let ((_let_554 (or _let_385 _let_121 _let_114))) (let ((_let_555 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_425 (= Z X22))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X22 $$unsorted)) (or (tptp.c1_1 X22) (tptp.c0_1 X22) (not (tptp.c3_1 X22)))) _let_551) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_556 (AND_ELIM _let_206 :args (97)))) (let ((_let_557 (_let_553))) (let ((_let_558 (MACRO_RESOLUTION_TRUST _let_331 (MACRO_RESOLUTION_TRUST _let_290 _let_285 _let_294 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_554)) :args ((or _let_121 _let_114 _let_385 (not _let_554)))) _let_409 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_557) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X25) false))))) :args _let_557)) _let_408 (AND_ELIM _let_206 :args (99)) _let_212 _let_556 _let_212 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_425 (= Z X27))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X27 $$unsorted)) (or (tptp.c1_1 X27) (tptp.c0_1 X27) (not (tptp.c3_1 X27)))) _let_552) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_555 _let_443 _let_444 _let_507 _let_504 _let_422 _let_420 _let_418 _let_499 _let_212 _let_416 _let_498 _let_280 _let_281 :args ((or tptp.hskp60 _let_152 _let_117 _let_121 _let_114) false _let_383 false _let_554 false _let_384 false _let_553 false tptp.ndr1_0 false _let_380 false tptp.ndr1_0 true _let_552 true _let_551 true _let_425 true _let_428 false _let_426 false _let_480 true _let_229 true _let_228 true _let_227 false _let_141 false tptp.ndr1_0 true _let_234 true _let_140 true _let_119 true _let_242)) _let_343 _let_212 _let_550 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_341 :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_340)) :args _let_339)) _let_345 _let_549 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_126 _let_127 _let_147 _let_547))) (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_126 _let_127 _let_149 _let_546))) :args ((or _let_126 _let_127 _let_547 _let_546) true _let_147)) _let_348 _let_545 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)) _let_352 _let_353 _let_354 _let_212 _let_355 _let_506 _let_503 _let_394 _let_392 _let_499 _let_212 _let_544 _let_390 _let_496 (MACRO_RESOLUTION_TRUST _let_345 _let_348 _let_343 _let_212 _let_352 _let_342 (MACRO_RESOLUTION_TRUST _let_295 _let_293 (MACRO_RESOLUTION_TRUST _let_507 _let_509 _let_504 _let_422 _let_420 _let_418 _let_499 _let_212 _let_416 _let_498 _let_514 _let_511 _let_517 _let_543 _let_518 _let_542 _let_212 _let_519 _let_212 _let_541 _let_520 _let_312 _let_310 _let_324 _let_328 _let_212 _let_496 _let_329 _let_194 _let_199 _let_207 _let_326 _let_331 _let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_526)) :args ((or _let_8 _let_525 _let_524 (not _let_526)))) (REORDERING (CNF_AND_POS :args (_let_10 3)) :args ((or _let_6 _let_540))) (REORDERING (CNF_AND_POS :args (_let_10 2)) :args ((or _let_7 _let_540))) (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_9 _let_540))) (AND_ELIM _let_206 :args (72)) (AND_ELIM _let_206 :args (124)) _let_212 (AND_ELIM _let_206 :args (37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_466)) :args ((or _let_38 _let_465 _let_464 _let_483))) (REORDERING (CNF_OR_POS :args (_let_532)) :args ((or _let_38 _let_465 _let_463 _let_538))) (REORDERING (CNF_AND_POS :args (_let_41 3)) :args ((or _let_39 _let_539))) (REORDERING (CNF_AND_POS :args (_let_41 2)) :args ((or _let_40 _let_539))) :args ((or _let_539 _let_538 _let_483) false _let_463 true _let_38 false _let_40)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_398 :args (tptp.a1714 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_495)) :args _let_396)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_537)) :args _let_537)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_536) _let_370))) (REFL :args ((not _let_531))) :args _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_530)) :args ((or _let_528 _let_460 _let_529 _let_535))) (REORDERING (CNF_OR_POS :args (_let_462)) :args ((or _let_461 _let_460 _let_458 _let_481))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_531 2)) (CONG (REFL :args (_let_531)) (MACRO_SR_PRED_INTRO :args ((= (not _let_460) _let_459))) :args _let_168)) :args ((or _let_459 _let_531))) (CNF_OR_NEG :args (_let_531 1)) (CNF_OR_NEG :args (_let_531 0)) :args ((or _let_531 _let_481 _let_535) false _let_458 false _let_459 true _let_461 true _let_528)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) false))))) :args _let_191)) _let_496 _let_499 _let_212 _let_498 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_430 (= X X62))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X62 $$unsorted)) (or (tptp.c2_1 X62) (tptp.c0_1 X62) (tptp.c3_1 X62))) _let_527) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_274 _let_521 _let_359 _let_522 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (tptp.a1715 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)) _let_503 _let_361 _let_319 _let_506 _let_358 _let_357 _let_395 _let_320 _let_212 _let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_323 :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_322)) :args _let_321)) _let_354 _let_212 (REORDERING (CNF_OR_POS :args (_let_523)) :args ((or _let_128 _let_127 _let_149 (not _let_523)))) _let_166 (REORDERING (CNF_OR_POS :args (_let_473)) :args ((or _let_128 _let_126 _let_147 _let_533))) _let_165 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 2)) (CONG _let_534 (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_27))) :args _let_168)) :args ((or _let_27 _let_129))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 1)) (CONG _let_534 (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_26))) :args _let_168)) :args ((or _let_26 _let_129))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 0)) (CONG _let_534 (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_28))) :args _let_168)) :args ((or _let_28 _let_129))) :args ((or tptp.hskp13 _let_143 _let_360 _let_483 _let_481 _let_533 _let_129) false _let_6 false _let_7 true _let_8 false _let_10 false tptp.hskp72 false tptp.ndr1_0 true tptp.hskp37 true _let_41 false _let_532 false _let_370 false _let_531 false _let_530 false _let_123 false _let_117 false tptp.ndr1_0 true _let_140 true _let_527 true _let_119 true _let_430 true _let_237 true _let_491 false _let_526 true _let_141 true _let_236 false _let_257 true _let_142 true _let_47 true _let_49 true _let_51 false _let_256 false tptp.ndr1_0 false _let_53 true _let_185 false tptp.hskp26 false tptp.ndr1_0 true _let_523 true _let_131 false _let_147 true _let_130 false _let_27 false _let_26 false _let_28)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) (MACRO_RESOLUTION_TRUST _let_361 _let_522 _let_358 _let_357 _let_395 _let_521 _let_355 _let_448 _let_354 _let_212 _let_449 _let_212 _let_166 _let_165 _let_163 _let_331 _let_328 _let_212 _let_324 _let_310 _let_312 _let_520 _let_519 _let_212 _let_518 _let_517 _let_514 (MACRO_RESOLUTION_TRUST _let_162 _let_158 _let_157 _let_160 _let_331 _let_328 _let_212 _let_324 _let_310 _let_312 _let_513 _let_165 _let_512 _let_212 _let_166 _let_511 _let_354 _let_212 _let_509 _let_355 _let_507 _let_506 _let_504 _let_503 _let_422 _let_420 _let_418 _let_499 _let_212 _let_416 _let_498 :args ((or _let_119 _let_325 _let_490 _let_143 _let_117) false _let_26 false _let_27 false _let_28 false _let_29 false tptp.hskp52 false tptp.ndr1_0 true tptp.hskp7 true _let_99 false _let_296 false _let_297 false _let_129 false _let_118 false tptp.ndr1_0 false _let_130 true _let_477 false _let_131 false tptp.ndr1_0 true _let_479 true tptp.hskp26 false _let_426 true _let_53 false _let_480 false _let_142 true _let_229 true _let_228 true _let_227 false _let_141 false tptp.ndr1_0 true _let_234 true _let_140)) _let_497 _let_496 _let_329 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_398 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_495)) :args _let_396)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)) (REORDERING (CNF_OR_POS :args (_let_489)) :args ((or _let_471 _let_467 _let_468 (not _let_489)))) (REORDERING (CNF_OR_POS :args (_let_488)) :args ((or _let_471 _let_486 _let_468 (not _let_488)))) (REORDERING (CNF_OR_POS :args (_let_472)) :args ((or _let_471 _let_467 _let_469 _let_482))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_487 2)) (CONG _let_494 (MACRO_SR_PRED_INTRO :args ((= (not _let_486) _let_485))) :args _let_168)) :args ((or _let_485 _let_487))) (CNF_OR_NEG :args (_let_487 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_487 0)) (CONG _let_494 (MACRO_SR_PRED_INTRO :args ((= (not _let_471) _let_470))) :args _let_168)) :args ((or _let_470 _let_487))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_493)) :args _let_493)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_492) _let_432))) (REFL :args ((not _let_487))) :args _let_168)) :args ((or tptp.hskp57 _let_432 _let_143 _let_484 _let_360 _let_482) false _let_236 true _let_47 true _let_49 true _let_51 false _let_491 false _let_53 false _let_430 false tptp.hskp26 false tptp.ndr1_0 false _let_431 false tptp.ndr1_0 true _let_131 true _let_130 true _let_129 false _let_29 false tptp.hskp52 false tptp.ndr1_0 true tptp.hskp7 true _let_99 false _let_296 false _let_297 false _let_474 false tptp.ndr1_0 true tptp.hskp11 true _let_94 false _let_478 false _let_119 true _let_490 true _let_117 true _let_325 true _let_370 true _let_123 true _let_489 true _let_488 true _let_468 false _let_485 true _let_467 false _let_470 true _let_487)) _let_353 :args ((or tptp.hskp13 tptp.hskp53 tptp.hskp57 _let_112 _let_484 _let_360 _let_483 _let_482 _let_481) true _let_426 false _let_480 true _let_229 true _let_228 true _let_227 false _let_141 false tptp.ndr1_0 true _let_234 true _let_140 true _let_119 false _let_479 true _let_478 false _let_477 false _let_94 false _let_476 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_475 true _let_474 true _let_297 true _let_296 false _let_99 false tptp.hskp7 false tptp.ndr1_0 true _let_117 true _let_325 true _let_123 true _let_174 false _let_46 false tptp.hskp29 true tptp.hskp52 true _let_29 false _let_129 false _let_473 false _let_432 true _let_143)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_283)) :args _let_282)) _let_286 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_284 :args (tptp.a1714 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_283)) :args _let_282)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)) _let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (tptp.a1664 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)) _let_230 _let_366 _let_439 _let_212 _let_400 _let_212 _let_440 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (tptp.a1718 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (tptp.a1718 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 Z) true))))) :args _let_441)) (REORDERING (CNF_OR_POS :args (_let_454)) :args ((or _let_34 _let_258 _let_238 (not _let_454)))) (REORDERING (CNF_OR_POS :args (_let_453)) :args ((or _let_32 _let_258 _let_238 (not _let_453)))) _let_413 _let_344 _let_319 _let_320 _let_212 _let_399 :args ((or tptp.hskp13 tptp.hskp29 tptp.hskp53 _let_34 _let_32 _let_112 _let_185 _let_258) true _let_20 false tptp.hskp57 false _let_472 false _let_245 false _let_466 false _let_462 false _let_262 false _let_457 false _let_152 false _let_263 false _let_220 false tptp.ndr1_0 false _let_264 false tptp.ndr1_0 true _let_424 true _let_372 true _let_425 true _let_454 true _let_453 true _let_238 false _let_260 false _let_257 false _let_256 false tptp.ndr1_0 true _let_371)) _let_338 _let_337 _let_294 _let_334 _let_336 _let_290 _let_287 _let_285 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_400 _let_212 _let_399 _let_366 _let_337 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_403 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_402)) :args _let_401)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_364 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_362)) _let_335 (REORDERING (CNF_OR_POS :args (_let_438)) :args ((or _let_223 _let_221 _let_433 (not _let_438)))) (REORDERING (CNF_OR_POS :args (_let_437)) :args ((or _let_225 _let_221 _let_433 (not _let_437)))) (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_138 _let_134 _let_181 (not _let_436)))) (REORDERING (CNF_OR_POS :args (_let_435)) :args ((or _let_225 _let_221 _let_434 (not _let_435)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_452 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_188 _let_189 _let_190 _let_449 _let_212 _let_171 _let_165 _let_162 _let_158 _let_157 _let_160 _let_331 _let_326 _let_208 _let_202 _let_195 _let_448 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_446)) :args _let_445)) (REORDERING (CNF_OR_POS :args (_let_429)) :args ((or _let_228 _let_229 _let_426 (not _let_429)))) _let_444 _let_443 _let_440 _let_439 _let_212 _let_207 _let_199 _let_194 :args ((or _let_220 _let_125 _let_225 _let_223 _let_221 _let_227 _let_228 _let_229) false tptp.ndr1_0 true _let_371 true _let_264 true _let_185 true _let_372 true _let_263 true _let_184 true _let_438 true _let_437 false _let_181 true _let_433 false _let_436 false _let_435 false _let_133 false _let_135 false _let_137 false _let_432 false tptp.ndr1_0 true _let_139 true _let_130 true _let_129 false _let_26 false _let_27 false _let_28 false _let_29 false tptp.hskp52 true tptp.hskp53 true _let_25 false _let_177 true _let_431 true _let_430 true _let_429 true _let_426 false _let_428 false _let_425 false _let_424 false tptp.ndr1_0 true tptp.hskp29 true _let_46 false _let_174)) _let_423 _let_421 _let_419 (CNF_OR_NEG :args (_let_226 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_226 1)) (CONG _let_233 (MACRO_SR_PRED_INTRO :args ((= (not _let_223) _let_222))) :args _let_168)) :args ((or _let_222 _let_226))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_226 0)) (CONG _let_233 (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_224))) :args _let_168)) :args ((or _let_224 _let_226))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_232)) :args _let_232)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_152))) (REFL :args ((not _let_226))) :args _let_168)) _let_230 :args ((or _let_152 _let_125) true _let_229 true _let_228 true _let_227 true _let_221 false _let_222 false _let_224 true _let_226 true _let_220)) _let_219 _let_218 _let_217 _let_215 _let_214 _let_212 _let_209 _let_208 _let_207 _let_205 _let_202 _let_199 _let_196 _let_195 _let_194 _let_190 _let_189 _let_188 :args ((or _let_132 _let_125 _let_139) true _let_89 false tptp.hskp12 false tptp.ndr1_0 false _let_146 true _let_151 false _let_112 true _let_186 true _let_185 true tptp.hskp13 false _let_181 true _let_184 true _let_84 false _let_182 false _let_155 false _let_152 true _let_32 true _let_34 false _let_36 false _let_37 false tptp.hskp38 false tptp.ndr1_0 true tptp.hskp74 true tptp.hskp53 true tptp.hskp29 true _let_5 true _let_25 true _let_46 false _let_180 false _let_177 false _let_174 false _let_137 false _let_135 false _let_133)) _let_171 _let_167 _let_166 _let_165 _let_163 _let_158 _let_157 :args (_let_156 false _let_155 false _let_84 false _let_152 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp60 true _let_151 true tptp.hskp12 true _let_15 true _let_150 true _let_89 false _let_111 false _let_148 false _let_146 false _let_112 false _let_143 false tptp.ndr1_0 true tptp.hskp26 true _let_53 false _let_142 true _let_114 false _let_116 false _let_141 false tptp.ndr1_0 true _let_140 true _let_122 true _let_117 true _let_123 true _let_139 true _let_132 true _let_131 true _let_130 true _let_129 false _let_26 false _let_27)) :args (_let_30 true _let_29)))) (let ((_let_559 (MACRO_RESOLUTION_TRUST _let_327 _let_558 :args (_let_125 true tptp.hskp52)))) (let ((_let_560 (MACRO_RESOLUTION_TRUST _let_390 _let_559 :args (_let_124 true _let_123)))) (let ((_let_561 (MACRO_RESOLUTION_TRUST _let_496 _let_559 :args ((not _let_117) true _let_123)))) (let ((_let_562 (MACRO_RESOLUTION_TRUST _let_312 (MACRO_RESOLUTION_TRUST _let_310 (MACRO_RESOLUTION_TRUST _let_324 (MACRO_RESOLUTION_TRUST _let_330 _let_558 :args (tptp.hskp7 true tptp.hskp52)) :args (_let_99 false tptp.hskp7)) :args (_let_309 false _let_99)) :args (_let_313 true _let_296)))) (let ((_let_563 (or _let_59 _let_63 _let_61))) (let ((_let_564 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_565 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_566 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_567 (or _let_566 _let_565 _let_564))) (let ((_let_568 (not _let_566))) (let ((_let_569 (or _let_564 _let_568 _let_565))) (let ((_let_570 (tptp.c0_1 tptp.a1682))) (let ((_let_571 (not _let_570))) (let ((_let_572 (or _let_54 _let_56 _let_571))) (let ((_let_573 (forall ((X32 $$unsorted)) (or (not (tptp.c0_1 X32)) (not (tptp.c1_1 X32)) (tptp.c3_1 X32))))) (let ((_let_574 (or _let_56 _let_570 _let_54))) (let ((_let_575 (forall ((X38 $$unsorted)) (or (tptp.c1_1 X38) (tptp.c0_1 X38) (tptp.c3_1 X38))))) (let ((_let_576 (or _let_565 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) _let_564))) (let ((_let_577 (not _let_563))) (let ((_let_578 (not _let_65))) (let ((_let_579 (not _let_58))) (let ((_let_580 (_let_575))) (let ((_let_581 (not _let_575))) (let ((_let_582 (_let_581))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_545 (MACRO_RESOLUTION_TRUST _let_542 _let_212 (MACRO_RESOLUTION_TRUST _let_543 (MACRO_RESOLUTION_TRUST _let_511 (MACRO_RESOLUTION_TRUST _let_509 _let_421 _let_423 (MACRO_RESOLUTION_TRUST _let_507 _let_419 _let_421 (MACRO_RESOLUTION_TRUST _let_504 (MACRO_RESOLUTION_TRUST _let_499 _let_212 _let_544 _let_561 :args (_let_141 false tptp.ndr1_0 true _let_140 true _let_117)) :args (_let_480 false _let_141)) :args (_let_426 true _let_227 true _let_228 false _let_480)) :args (_let_508 true _let_228 true _let_229 false _let_426)) :args ((not _let_477) true _let_479)) :args ((not _let_476) true _let_477)) (MACRO_RESOLUTION_TRUST _let_541 _let_562 :args ((not _let_475) true _let_297)) :args (_let_112 false tptp.ndr1_0 true _let_476 true _let_475)) (MACRO_RESOLUTION_TRUST _let_549 (MACRO_RESOLUTION_TRUST _let_550 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_565 _let_564 _let_568 (not _let_569)))) (REORDERING (CNF_OR_POS :args (_let_567)) :args ((or _let_565 _let_564 _let_566 (not _let_567)))) (CNF_OR_NEG :args (_let_576 2)) (CNF_OR_NEG :args (_let_576 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_582)) :args _let_582)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_581) _let_575))) (REFL :args ((not _let_576))) :args _let_168)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_580) :args (tptp.a1682 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X38) true))))) :args _let_580)) (REORDERING (CNF_OR_POS :args (_let_574)) :args ((or _let_56 _let_54 _let_570 (not _let_574)))) (REORDERING (CNF_OR_POS :args (_let_572)) :args ((or _let_56 _let_54 _let_571 (not _let_572)))) (REORDERING (CNF_AND_POS :args (_let_58 3)) :args ((or _let_55 _let_579))) (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_57 _let_579))) (AND_ELIM _let_206 :args (20)) (AND_ELIM _let_206 :args (103)) _let_212 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_387 (= X10 X32))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X32 $$unsorted)) (or (not (tptp.c1_1 X32)) (tptp.c3_1 X32) (not (tptp.c0_1 X32)))) _let_573) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_412 _let_410 _let_409 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_398 :args (tptp.a1682 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_397)) :args _let_396)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)) _let_408 _let_497 _let_556 _let_212 _let_512 _let_212 _let_555 _let_511 _let_443 _let_509 _let_444 (AND_ELIM _let_206 :args (19)) _let_507 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_563)) :args ((or _let_63 _let_61 _let_59 _let_577))) (REORDERING (CNF_AND_POS :args (_let_65 3)) :args ((or _let_60 _let_578))) (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_62 _let_578))) (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_578))) :args ((or _let_578 _let_577) true _let_59 true _let_61 true _let_63)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_502 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X59) true))))) :args _let_500)) _let_504 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_502 :args (tptp.a1681 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_501)) :args _let_500)) _let_422 _let_420 _let_418 _let_499 _let_212 _let_416 _let_498 :args ((or tptp.hskp60 _let_119 _let_118 _let_117 _let_121 _let_120 _let_114) false _let_566 true _let_564 true _let_565 true _let_576 true _let_575 true _let_574 true _let_570 true _let_54 true _let_56 false _let_58 false tptp.hskp20 false tptp.ndr1_0 true _let_573 true _let_387 true _let_386 false _let_383 false _let_572 false _let_569 false _let_384 false _let_370 false _let_380 false tptp.ndr1_0 false _let_490 false tptp.ndr1_0 true _let_551 true _let_477 true _let_425 true _let_479 true _let_428 true tptp.hskp19 false _let_426 true _let_65 false _let_567 false _let_480 false _let_563 true _let_229 true _let_228 true _let_227 false _let_141 false tptp.ndr1_0 true _let_234 true _let_140)) _let_414 (MACRO_RESOLUTION_TRUST _let_513 _let_562 :args ((not _let_118) true _let_297)) _let_561 (MACRO_RESOLUTION_TRUST _let_392 _let_560 :args (_let_116 true _let_122)) (MACRO_RESOLUTION_TRUST _let_393 _let_560 :args (_let_115 true _let_122)) (MACRO_RESOLUTION_TRUST _let_394 _let_560 :args ((not _let_114) true _let_122)) :args (tptp.hskp60 true _let_119 true _let_118 true _let_117 false _let_116 false _let_115 true _let_114)) :args (_let_15 false tptp.hskp60)) :args (_let_113 false _let_15)) :args (false false _let_112 true _let_111)) :args (_let_108 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.74/1.00 )
% 0.74/1.00 % SZS output end Proof for SYN457+1
% 0.74/1.00 % cvc5---1.0.5 exiting
% 0.74/1.00 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------