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 : n028.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 : Unsatisfiable 0.65s 0.88s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN457-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.19/0.36 % Computer : n028.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sat Aug 26 19:37:52 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uU1DMfFKTc/cvc5---1.0.5_31521.p...
% 0.22/0.55 ------- get file name : TPTP file name is SYN457-1
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31521.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/0.88 % SZS status Unsatisfiable for SYN457-1
% 0.65/0.88 % SZS output start Proof for SYN457-1
% 0.65/0.91 (
% 0.65/0.91 (let ((_let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c2_1 W) (tptp.c3_1 W) (tptp.c0_1 W))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c0_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c2_1 W) (tptp.c1_1 W) (tptp.c3_1 W))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c2_1 V) tptp.hskp13)))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (tptp.c1_1 U) tptp.hskp26)))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 V) tptp.hskp63)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp40)))) (let ((_let_8 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c0_1 V) tptp.hskp39)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) tptp.hskp73)))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 V)) (tptp.c1_1 U) (tptp.c1_1 V) tptp.hskp67)))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c2_1 V) tptp.hskp61)))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp29)))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (tptp.c3_1 U) (tptp.c3_1 V) (tptp.c1_1 V) tptp.hskp2)))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c1_1 V) (tptp.c3_1 V) tptp.hskp57)))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c1_1 U) (tptp.c0_1 V) (tptp.c1_1 V) tptp.hskp60)))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) tptp.hskp12 tptp.hskp13)))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp19 tptp.hskp20)))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) tptp.hskp16 tptp.hskp17)))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp11 tptp.hskp57)))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp9 tptp.hskp55)))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp0 tptp.hskp42)))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp35 tptp.hskp68)))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) tptp.hskp58 tptp.hskp59)))) (let ((_let_24 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c3_1 U) (tptp.c0_1 U) (tptp.c2_1 U) tptp.hskp37 tptp.hskp72)))) (let ((_let_25 (not tptp.hskp0))) (let ((_let_26 (tptp.c2_1 tptp.a1637))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25))) (let ((_let_29 (not tptp.hskp1))) (let ((_let_30 (not tptp.hskp2))) (let ((_let_31 (tptp.c3_1 tptp.a1645))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (tptp.c0_1 tptp.a1645))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_30))) (let ((_let_37 (tptp.c1_1 tptp.a1645))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_30))) (let ((_let_40 (not tptp.hskp3))) (let ((_let_41 (not tptp.hskp4))) (let ((_let_42 (not tptp.hskp5))) (let ((_let_43 (not tptp.hskp6))) (let ((_let_44 (not tptp.hskp7))) (let ((_let_45 (not tptp.hskp8))) (let ((_let_46 (not tptp.hskp9))) (let ((_let_47 (tptp.c1_1 tptp.a1660))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (tptp.c0_1 tptp.a1660))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_46))) (let ((_let_53 (tptp.c3_1 tptp.a1660))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_46))) (let ((_let_56 (not tptp.hskp10))) (let ((_let_57 (tptp.c0_1 tptp.a1663))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (tptp.c3_1 tptp.a1663))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_56))) (let ((_let_63 (tptp.c2_1 tptp.a1663))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_56))) (let ((_let_66 (not tptp.hskp11))) (let ((_let_67 (tptp.c1_1 tptp.a1664))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (tptp.c2_1 tptp.a1664))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_66))) (let ((_let_73 (tptp.c3_1 tptp.a1664))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_66))) (let ((_let_76 (not tptp.hskp12))) (let ((_let_77 (tptp.c1_1 tptp.a1666))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (not tptp.hskp13))) (let ((_let_81 (tptp.c1_1 tptp.a1667))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80))) (let ((_let_84 (not tptp.hskp14))) (let ((_let_85 (tptp.c3_1 tptp.a1671))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84))) (let ((_let_88 (tptp.c1_1 tptp.a1671))) (let ((_let_89 (not _let_88))) (let ((_let_90 (or _let_89 _let_84))) (let ((_let_91 (not tptp.hskp15))) (let ((_let_92 (tptp.c0_1 tptp.a1672))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91))) (let ((_let_95 (not tptp.hskp16))) (let ((_let_96 (tptp.c1_1 tptp.a1677))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95))) (let ((_let_99 (tptp.c2_1 tptp.a1677))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_95))) (let ((_let_102 (tptp.c0_1 tptp.a1677))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_95))) (let ((_let_105 (not tptp.hskp17))) (let ((_let_106 (tptp.c2_1 tptp.a1678))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105))) (let ((_let_109 (tptp.c1_1 tptp.a1678))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_105))) (let ((_let_112 (tptp.c0_1 tptp.a1678))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_105))) (let ((_let_115 (not tptp.hskp18))) (let ((_let_116 (not tptp.hskp19))) (let ((_let_117 (tptp.c2_1 tptp.a1681))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116))) (let ((_let_120 (tptp.c3_1 tptp.a1681))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_116))) (let ((_let_123 (tptp.c1_1 tptp.a1681))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_116))) (let ((_let_126 (not tptp.hskp20))) (let ((_let_127 (tptp.c3_1 tptp.a1682))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_126))) (let ((_let_130 (tptp.c1_1 tptp.a1682))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_126))) (let ((_let_133 (tptp.c2_1 tptp.a1682))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_126))) (let ((_let_136 (not tptp.hskp21))) (let ((_let_137 (not tptp.hskp22))) (let ((_let_138 (not tptp.hskp23))) (let ((_let_139 (not tptp.hskp24))) (let ((_let_140 (not tptp.hskp25))) (let ((_let_141 (not tptp.hskp26))) (let ((_let_142 (tptp.c2_1 tptp.a1691))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (tptp.c1_1 tptp.a1691))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_141))) (let ((_let_148 (tptp.c3_1 tptp.a1691))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_141))) (let ((_let_151 (not tptp.hskp27))) (let ((_let_152 (not tptp.hskp28))) (let ((_let_153 (not tptp.hskp29))) (let ((_let_154 (tptp.c3_1 tptp.a1695))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_153))) (let ((_let_157 (not tptp.hskp30))) (let ((_let_158 (not tptp.hskp31))) (let ((_let_159 (not tptp.hskp32))) (let ((_let_160 (not tptp.hskp33))) (let ((_let_161 (not tptp.hskp34))) (let ((_let_162 (not tptp.hskp35))) (let ((_let_163 (tptp.c1_1 tptp.a1706))) (let ((_let_164 (not _let_163))) (let ((_let_165 (or _let_164 _let_162))) (let ((_let_166 (tptp.c3_1 tptp.a1706))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_162))) (let ((_let_169 (tptp.c0_1 tptp.a1706))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_162))) (let ((_let_172 (not tptp.hskp36))) (let ((_let_173 (not tptp.hskp37))) (let ((_let_174 (tptp.c1_1 tptp.a1714))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_173))) (let ((_let_177 (not tptp.hskp38))) (let ((_let_178 (not tptp.hskp39))) (let ((_let_179 (tptp.c0_1 tptp.a1721))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_180 _let_178))) (let ((_let_182 (tptp.c1_1 tptp.a1721))) (let ((_let_183 (not _let_182))) (let ((_let_184 (or _let_183 _let_178))) (let ((_let_185 (not tptp.hskp40))) (let ((_let_186 (tptp.c2_1 tptp.a1725))) (let ((_let_187 (not _let_186))) (let ((_let_188 (or _let_187 _let_185))) (let ((_let_189 (not tptp.hskp41))) (let ((_let_190 (not tptp.hskp42))) (let ((_let_191 (tptp.c3_1 tptp.a1638))) (let ((_let_192 (not _let_191))) (let ((_let_193 (or _let_192 _let_190))) (let ((_let_194 (not tptp.hskp43))) (let ((_let_195 (not tptp.hskp45))) (let ((_let_196 (not tptp.hskp46))) (let ((_let_197 (not tptp.hskp47))) (let ((_let_198 (not tptp.hskp48))) (let ((_let_199 (not tptp.hskp49))) (let ((_let_200 (not tptp.hskp51))) (let ((_let_201 (not tptp.hskp53))) (let ((_let_202 (tptp.c3_1 tptp.a1656))) (let ((_let_203 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V))))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_622 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_621)) :args _let_620)) (REORDERING (CNF_OR_POS :args (_let_537)) :args ((or _let_443 _let_439 _let_492 (not _let_537)))) _let_619 _let_435 _let_618 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_617 :args (tptp.a1669 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_616)) :args _let_615)) _let_610 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_369 (= U U)))) _let_614 _let_613 _let_612 _let_611 _let_371 (MACRO_RESOLUTION_TRUST _let_516 _let_514 _let_513 _let_371 _let_511 _let_509 _let_508 _let_518 _let_611 _let_371 _let_610 _let_436 _let_609 _let_607 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_584)) :args ((or _let_394 _let_393 _let_399 _let_603))) _let_606 _let_605 _let_604 :args ((or _let_302 _let_603) false _let_301 false _let_304 false _let_306)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_602 :args (tptp.a1654 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_601)) :args _let_600)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_599)) :args _let_599)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_598) _let_494))) (REFL :args ((not _let_583))) :args _let_495)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_581)) :args ((or _let_578 _let_580 _let_576 _let_596))) (REORDERING (CNF_OR_POS :args (_let_582)) :args ((or _let_578 _let_580 _let_575 _let_595))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_583 1)) (CONG _let_597 (MACRO_SR_PRED_INTRO :args ((= (not _let_580) _let_579))) :args _let_495)) :args ((or _let_579 _let_583))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_583 0)) (CONG _let_597 (MACRO_SR_PRED_INTRO :args ((= (not _let_578) _let_577))) :args _let_495)) :args ((or _let_577 _let_583))) :args ((or _let_583 _let_596 _let_595) false _let_575 false _let_579 false _let_577)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_594 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_593)) :args 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(_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp63 _let_512 _let_570 _let_562))) _let_371 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_242 _let_568 _let_567 _let_587))) (REORDERING (ASSUME :args (_let_244)) :args ((or _let_241 _let_243))) (ASSUME :args (_let_331)) (ASSUME :args (_let_333)) :args ((or _let_241 _let_587) true _let_242 false _let_330 false _let_332)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_586) :args (tptp.a1676 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 U) false))))) :args _let_586)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_566 (= U V))) (MACRO_SR_PRED_INTRO :args ((= (forall ((V $$unsorted)) (or (not (tptp.c2_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))) _let_565) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp39 _let_512 _let_533 _let_565))) _let_371 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_564)) :args ((or _let_182 _let_179 _let_563 _let_585))) (REORDERING (ASSUME :args (_let_181)) :args ((or _let_178 _let_180))) (REORDERING (ASSUME :args (_let_184)) :args ((or _let_178 _let_183))) (ASSUME :args (_let_290)) :args ((or _let_178 _let_585) true _let_179 true _let_182 false _let_289)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_549 :args (tptp.a1721 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_548)) :args _let_547)) _let_546 _let_545 _let_371 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_438 (= U V)))) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_438 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (tptp.c1_1 U))) _let_561) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_544 :args ((or tptp.hskp29 _let_438 _let_533 _let_373) true _let_96 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp17 false _let_503 false _let_502 false _let_445 false _let_446 false 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_let_547)) _let_546 _let_545 _let_371 _let_544 _let_523 _let_521 _let_522 _let_520 _let_518 _let_517 _let_501 _let_500 (CNF_OR_NEG :args (_let_444 2)) _let_498 :args ((or tptp.hskp29 _let_438) true _let_226 false tptp.hskp59 false tptp.ndr1_0 true _let_543 true _let_542 false _let_539 false _let_540 false _let_429 false _let_538 true _let_391 true _let_537 false _let_488 false _let_383 false _let_489 false _let_536 false _let_374 false _let_369 true _let_529 true _let_530 true _let_531 false _let_458 false tptp.ndr1_0 false _let_533 true _let_532 true _let_373 true _let_467 true _let_451 true tptp.hskp58 false _let_475 false _let_528 false _let_479 false _let_526 false tptp.ndr1_0 true _let_525 true _let_447 true _let_449 true _let_448 true _let_450 true _let_446 true _let_445 false _let_440 false _let_442 true _let_439 true _let_444)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_454 0)) (CONG (REFL :args _let_524) (MACRO_SR_PRED_INTRO :args ((= (not _let_453) _let_448))) :args 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(_let_438))) (let ((_let_679 ((not (= (tptp.c0_1 U) false))))) (let ((_let_680 (ASSUME :args _let_678))) (let ((_let_681 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_680 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_679)) :args _let_678)) _let_677 :args (_let_389 false _let_438)))) (let ((_let_682 (not _let_389))) (let ((_let_683 (CNF_OR_NEG :args (_let_390 2)))) (let ((_let_684 (REORDERING (CNF_OR_POS :args (_let_389)) :args ((or _let_380 _let_387 _let_388 _let_682))))) (let ((_let_685 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_686 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_687 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_688 (or _let_687 _let_686 _let_685))) (let ((_let_689 (or _let_530 _let_531 _let_539))) (let ((_let_690 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_691 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_692 (tptp.c1_1 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_let_371 _let_732 _let_664 _let_731 _let_729 _let_371 _let_728 _let_662 _let_723 _let_722 _let_656 _let_720 :args ((or _let_154 _let_374 _let_456 _let_455 _let_558) true _let_362 false _let_361 false tptp.ndr1_0 true tptp.hskp57 true _let_365 true _let_359 true _let_363 true _let_360 true _let_26 false _let_265 false _let_368 true _let_477 false tptp.hskp0 false tptp.ndr1_0 false _let_369 true _let_471 true tptp.hskp42 false _let_370 false tptp.ndr1_0 true tptp.hskp57 false _let_473 false _let_719 true tptp.hskp11 false _let_466 false _let_372)) _let_610 _let_646 _let_645 _let_643 _let_642 _let_641 :args (_let_153 true _let_685 false _let_716 true _let_686 true _let_687 false _let_712 true _let_714 true _let_711 true _let_710 false _let_707 false _let_708 false _let_480 false tptp.ndr1_0 true tptp.hskp2 true _let_706 true _let_466 false _let_705 true _let_473 false _let_704 false _let_471 false _let_703 false _let_477 false _let_702 false _let_360 false _let_359 false tptp.ndr1_0 true tptp.hskp57 true _let_695 true _let_696 false _let_697 true _let_361 true _let_699 true _let_362 true _let_543 true _let_694 true _let_542 false _let_539 false _let_693 false _let_689 false _let_688 false _let_445 true _let_529 true _let_530 true _let_531 false _let_446 false tptp.ndr1_0 true _let_532 true _let_373 true _let_458 true _let_374 true _let_457 true _let_154 false _let_281 false _let_283)) _let_629 _let_609 (MACRO_RESOLUTION_TRUST _let_684 _let_633 _let_683 _let_632 _let_631 :args ((or _let_390 _let_625 _let_682) false _let_378 true _let_387 false _let_381 false _let_379)) _let_681 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_377)) :args ((or _let_260 _let_376 _let_375 _let_437))) (REORDERING (ASSUME :args (_let_262)) :args ((or _let_259 _let_261))) (ASSUME :args (_let_350)) (ASSUME :args (_let_352)) :args ((or _let_259 _let_437) true _let_260 false _let_349 false _let_351)) _let_436 _let_435 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.a1716 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_432)) :args (_let_431 true _let_174 false _let_285 false _let_287 false tptp.hskp37 false tptp.ndr1_0 true _let_430 true _let_429 true _let_428 true _let_57 true _let_60 true _let_63 false tptp.hskp10 true tptp.hskp14 true tptp.hskp15 false _let_427 false _let_425 false _let_360 false _let_422 false _let_421 false tptp.ndr1_0 false _let_420 false tptp.ndr1_0 true tptp.hskp40 true tptp.hskp72 true _let_419 false _let_418 false _let_415 true _let_412 false _let_411 true _let_410 false _let_407 false tptp.ndr1_0 true tptp.hskp13 false tptp.hskp12 false tptp.ndr1_0 true tptp.hskp13 true _let_406 true _let_405 true _let_404 true _let_403 true _let_402 true _let_401 false _let_392 false _let_301 false _let_304 false _let_306 false _let_398 false _let_395 false tptp.hskp52 true tptp.hskp29 false _let_391 true tptp.hskp53 false _let_390 false _let_389 true tptp.hskp73 false _let_386 false _let_383 false _let_377)))) (let ((_let_783 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (tptp.c3_1 U))))) (let ((_let_784 (tptp.c0_1 tptp.a1674))) (let ((_let_785 (or _let_237 _let_234 _let_784))) (let ((_let_786 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_787 (or _let_163 _let_169 _let_166))) (let ((_let_788 (or _let_47 _let_50 _let_53))) (let ((_let_789 (not _let_312))) (let ((_let_790 (or _let_789 _let_210 _let_207))) (let ((_let_791 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c2_1 U) (tptp.c3_1 U))))) (let ((_let_792 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_793 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_794 (not _let_793))) (let ((_let_795 (or _let_794 _let_792 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_796 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))))) (let ((_let_797 (forall ((V $$unsorted)) (or (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c2_1 V))))) (let ((_let_798 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_799 (not _let_798))) (let ((_let_800 (or _let_799 _let_794 _let_792))) (let ((_let_801 (or _let_794 _let_798 _let_792))) (let ((_let_802 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (tptp.c0_1 U) (tptp.c2_1 U))))) (let ((_let_803 (not _let_788))) (let ((_let_804 (not _let_790))) (let ((_let_805 (_let_791))) (let ((_let_806 (not _let_791))) (let ((_let_807 (_let_806))) (let ((_let_808 (not _let_328))) (let ((_let_809 (not _let_784))) (let ((_let_810 (or _let_809 _let_808 _let_237))) (let ((_let_811 (not _let_785))) (let ((_let_812 (_let_797))) (let ((_let_813 (_let_802))) (let ((_let_814 (not _let_343))) (let ((_let_815 (not _let_341))) (let ((_let_816 (or _let_815 _let_814 _let_249))) (let ((_let_817 (not _let_816))) (let ((_let_818 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_787)) :args ((or _let_169 _let_166 _let_163 (not _let_787)))) (REORDERING (ASSUME :args (_let_165)) :args ((or _let_162 _let_164))) (REORDERING (ASSUME :args (_let_168)) :args ((or _let_162 _let_167))) (REORDERING (ASSUME :args (_let_171)) :args ((or _let_162 _let_170))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp68 tptp.hskp35 _let_512 _let_802))) _let_371 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_816)) :args ((or _let_249 _let_814 _let_815 _let_817))) (REORDERING (ASSUME :args (_let_251)) :args ((or _let_248 _let_250))) (ASSUME :args (_let_342)) (ASSUME :args (_let_344)) :args ((or _let_248 _let_817) true _let_249 false _let_341 false _let_343)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_680 :args (tptp.a1707 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_679)) :args _let_678)) _let_677 :args (_let_816 false _let_438)) :args (_let_248 false _let_816)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_813) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_813)) (REORDERING (CNF_OR_POS :args (_let_801)) :args ((or _let_794 _let_792 _let_798 (not _let_801)))) (REORDERING (CNF_OR_POS :args (_let_800)) :args ((or _let_794 _let_792 _let_799 (not _let_800)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_812) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) false))))) :args _let_812)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_797 (= V V)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp61 _let_512 _let_786 _let_796))) _let_371 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_785)) :args ((or _let_237 _let_234 _let_784 _let_811))) (REORDERING (CNF_OR_POS :args (_let_810)) :args ((or _let_237 _let_808 _let_809 (not _let_810)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_680 :args (tptp.a1674 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_679)) :args _let_678)) _let_677 :args (_let_810 false _let_438)) (REORDERING (ASSUME :args (_let_236)) :args ((or _let_233 _let_235))) (REORDERING (ASSUME :args (_let_239)) :args ((or _let_233 _let_238))) (ASSUME :args (_let_329)) :args ((or _let_233 _let_811) true _let_784 false _let_810 true _let_234 true _let_237 false _let_328)) (CNF_OR_NEG :args (_let_795 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_795 0)) (CONG (REFL :args (_let_795)) (MACRO_SR_PRED_INTRO :args ((= (not _let_794) _let_793))) :args _let_495)) :args ((or _let_793 _let_795))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_807)) :args _let_807)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_806) _let_791))) (REFL :args ((not _let_795))) :args _let_495)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_805) :args (tptp.a1661 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) false))))) :args _let_805)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_790)) :args ((or _let_210 _let_207 _let_789 _let_804))) (REORDERING (ASSUME :args (_let_209)) :args ((or _let_206 _let_208))) (REORDERING (ASSUME :args (_let_212)) :args ((or _let_206 _let_211))) (ASSUME :args (_let_313)) :args ((or _let_206 _let_804) true _let_207 true _let_210 false _let_312)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or tptp.hskp55 tptp.hskp9 _let_512 _let_783))) _let_371 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_788)) :args ((or _let_53 _let_50 _let_47 _let_803))) (REORDERING (ASSUME :args (_let_49)) :args ((or _let_46 _let_48))) (REORDERING (ASSUME :args (_let_52)) :args ((or _let_46 _let_51))) (REORDERING (ASSUME :args (_let_55)) :args ((or _let_46 _let_54))) :args ((or _let_46 _let_803) true _let_47 true _let_50 true _let_53)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_762 :args (tptp.a1660 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_761)) :args _let_760)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_762 :args (tptp.a1706 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_761)) :args _let_760)) _let_759 _let_756 _let_753 _let_738 _let_740 _let_371 _let_728 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_362 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (tptp.c3_1 U) (tptp.c2_1 U))) _let_786) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_745 _let_750 _let_749 _let_748 _let_747 _let_746 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a1674 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)) _let_518 _let_611 _let_371 _let_610 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_374 (= U U))) (MACRO_SR_PRED_INTRO :args ((= (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (tptp.c3_1 U))) _let_783) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_613 _let_614 _let_612 _let_560 :args ((or _let_374 _let_373) true _let_163 true _let_166 true _let_169 false tptp.hskp35 false tptp.ndr1_0 true tptp.hskp68 true _let_802 true _let_801 true _let_798 false _let_800 false _let_797 false _let_796 false tptp.ndr1_0 true tptp.hskp61 true _let_792 false _let_793 true _let_795 true _let_791 true _let_790 false tptp.hskp55 false tptp.ndr1_0 true tptp.hskp9 false _let_788 false _let_787 false _let_704 false _let_703 false _let_702 false _let_360 false _let_359 false tptp.ndr1_0 true tptp.hskp57 true _let_786 true _let_361 true _let_362 true _let_694 false _let_539 false _let_693 false _let_689 false _let_785 false _let_445 false _let_446 false tptp.ndr1_0 true _let_458 true _let_783 true _let_530 true _let_529 true _let_531 true _let_532)) _let_782 :args (_let_373 true _let_374)))) (let ((_let_819 (MACRO_RESOLUTION_TRUST _let_656 _let_818 :args (_let_466 false _let_373)))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_733 (MACRO_RESOLUTION_TRUST _let_731 (MACRO_RESOLUTION_TRUST _let_723 _let_819 :args (_let_719 false _let_466)) :args (_let_190 false _let_719)) _let_371 _let_782 :args (tptp.hskp0 true tptp.hskp42 false tptp.ndr1_0 true _let_374)))) (let ((_let_821 (MACRO_RESOLUTION_TRUST _let_735 _let_820 :args (_let_265 false tptp.hskp0)))) (let ((_let_822 (MACRO_RESOLUTION_TRUST _let_736 _let_820 :args (_let_27 false tptp.hskp0)))) (let ((_let_823 (or _let_382 _let_387 _let_378))) (let ((_let_824 (not _let_823))) (let ((_let_825 (or _let_461 _let_463 _let_468))) (let ((_let_826 (not _let_825))) (let ((_let_827 (MACRO_RESOLUTION_TRUST _let_649 _let_782 :args (_let_647 true _let_374)))) (let ((_let_828 (MACRO_RESOLUTION_TRUST _let_651 _let_827 :args (_let_460 true _let_464)))) (let ((_let_829 (MACRO_RESOLUTION_TRUST _let_629 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_622 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_621)) :args _let_620)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_463 _let_461 _let_468 _let_826))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_464 0)) (CONG _let_650 (MACRO_SR_PRED_INTRO :args ((= (not _let_463) _let_462))) :args _let_495)) :args ((or _let_462 _let_464))) _let_827 :args (_let_462 true _let_464)) _let_828 (MACRO_RESOLUTION_TRUST _let_663 _let_828 (MACRO_RESOLUTION_TRUST _let_652 _let_827 :args ((not _let_459) true _let_464)) (MACRO_RESOLUTION_TRUST _let_661 _let_819 :args (_let_470 false _let_466)) :args (_let_469 false _let_460 true _let_459 false _let_470)) :args (_let_826 false _let_462 false _let_460 true _let_468)) :args (_let_627 true _let_825)) :args (_let_626 true _let_391)))) (let ((_let_830 (MACRO_RESOLUTION_TRUST _let_683 _let_829 :args ((not _let_387) true _let_390)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_738 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_674 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_673)) :args _let_672)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_823)) :args ((or _let_382 _let_387 _let_378 _let_824))) (MACRO_RESOLUTION_TRUST _let_632 _let_829 :args (_let_381 true _let_390)) _let_830 (MACRO_RESOLUTION_TRUST _let_684 (MACRO_RESOLUTION_TRUST _let_631 _let_829 :args (_let_379 true _let_390)) _let_830 _let_681 :args (_let_388 false _let_379 true _let_387 false _let_389)) :args (_let_824 false _let_381 true _let_387 true _let_378)) :args ((not _let_360) true _let_823)) (MACRO_RESOLUTION_TRUST _let_740 _let_728 _let_371 (MACRO_RESOLUTION_TRUST _let_745 (MACRO_RESOLUTION_TRUST _let_744 (MACRO_RESOLUTION_TRUST _let_739 _let_822 _let_821 (MACRO_RESOLUTION_TRUST _let_737 _let_822 _let_821 (MACRO_RESOLUTION_TRUST _let_734 (MACRO_RESOLUTION_TRUST _let_732 (MACRO_RESOLUTION_TRUST _let_729 _let_728 (MACRO_RESOLUTION_TRUST _let_722 (MACRO_RESOLUTION_TRUST _let_720 _let_818 :args (_let_372 false _let_373)) :args (_let_66 false _let_372)) _let_371 :args (_let_370 true tptp.hskp57 true tptp.hskp11 false tptp.ndr1_0)) :args (_let_369 false _let_370)) :args (_let_368 false _let_369)) :args (_let_367 true _let_26 false _let_265 false _let_368)) :args (_let_366 true _let_26 false _let_265 true _let_363)) :args ((not _let_362) true _let_365)) :args ((not _let_361) true _let_362)) :args (_let_359 true tptp.hskp57 false tptp.ndr1_0 true _let_361)) :args (false true _let_360 false _let_359)) :args ((or _let_264 tptp.ndr1_0) (or _let_263 tptp.ndr1_0) (or _let_259 tptp.ndr1_0) (or _let_255 tptp.ndr1_0) (or _let_254 tptp.ndr1_0) (or _let_253 tptp.ndr1_0) (or _let_252 tptp.ndr1_0) (or _let_248 tptp.ndr1_0) (or _let_335 tptp.ndr1_0) _let_358 (or _let_246 tptp.ndr1_0) (or _let_245 tptp.ndr1_0) (or _let_241 tptp.ndr1_0) (or _let_240 tptp.ndr1_0) (or _let_233 tptp.ndr1_0) (or _let_229 tptp.ndr1_0) (or _let_225 tptp.ndr1_0) (or _let_218 tptp.ndr1_0) (or _let_214 tptp.ndr1_0) (or _let_213 tptp.ndr1_0) (or _let_206 tptp.ndr1_0) (or _let_205 tptp.ndr1_0) (or _let_201 tptp.ndr1_0) (or _let_302 tptp.ndr1_0) (or _let_200 tptp.ndr1_0) (or _let_300 tptp.ndr1_0) (or _let_199 tptp.ndr1_0) (or _let_198 tptp.ndr1_0) (or _let_197 tptp.ndr1_0) (or _let_196 tptp.ndr1_0) (or _let_195 tptp.ndr1_0) (or _let_299 tptp.ndr1_0) (or _let_194 tptp.ndr1_0) (or _let_190 tptp.ndr1_0) (or _let_189 tptp.ndr1_0) (or _let_185 tptp.ndr1_0) (or _let_178 tptp.ndr1_0) (or _let_177 tptp.ndr1_0) (or _let_173 tptp.ndr1_0) (or _let_172 tptp.ndr1_0) (or _let_162 tptp.ndr1_0) (or _let_161 tptp.ndr1_0) (or _let_160 tptp.ndr1_0) (or _let_159 tptp.ndr1_0) (or _let_158 tptp.ndr1_0) (or _let_157 tptp.ndr1_0) (or _let_153 tptp.ndr1_0) _let_357 _let_356 (or _let_141 tptp.ndr1_0) (or _let_140 tptp.ndr1_0) (or _let_139 tptp.ndr1_0) (or _let_138 tptp.ndr1_0) (or _let_137 tptp.ndr1_0) (or _let_136 tptp.ndr1_0) (or _let_126 tptp.ndr1_0) (or _let_116 tptp.ndr1_0) (or _let_115 tptp.ndr1_0) (or _let_105 tptp.ndr1_0) (or _let_95 tptp.ndr1_0) (or _let_91 tptp.ndr1_0) (or _let_84 tptp.ndr1_0) (or _let_80 tptp.ndr1_0) (or _let_76 tptp.ndr1_0) (or _let_66 tptp.ndr1_0) (or _let_56 tptp.ndr1_0) (or _let_46 tptp.ndr1_0) (or _let_45 tptp.ndr1_0) (or _let_44 tptp.ndr1_0) (or _let_43 tptp.ndr1_0) (or _let_42 tptp.ndr1_0) (or _let_41 tptp.ndr1_0) (or _let_40 tptp.ndr1_0) (or _let_30 tptp.ndr1_0) (or _let_29 tptp.ndr1_0) (or _let_25 tptp.ndr1_0) (or tptp.hskp43 tptp.hskp44 tptp.hskp45) (or tptp.hskp47 tptp.hskp2 tptp.hskp3) (or tptp.hskp53 tptp.hskp8 tptp.hskp54) _let_355 (or tptp.hskp23 tptp.hskp64 tptp.hskp65) _let_354 _let_353 (or tptp.hskp63 tptp.hskp31 tptp.hskp32) (or _let_264 (tptp.c0_1 tptp.a1724)) (or _let_264 (tptp.c3_1 tptp.a1724)) (or _let_263 (tptp.c0_1 tptp.a1717)) (or _let_263 (tptp.c2_1 tptp.a1717)) _let_352 _let_350 _let_348 _let_346 (or _let_254 (tptp.c3_1 tptp.a1713)) (or _let_254 (tptp.c0_1 tptp.a1713)) (or _let_253 (tptp.c1_1 tptp.a1710)) (or _let_252 (tptp.c0_1 tptp.a1709)) (or _let_252 (tptp.c3_1 tptp.a1709)) _let_344 _let_342 _let_340 _let_338 _let_336 (or _let_247 (tptp.c0_1 tptp.a1692)) (or _let_246 (tptp.c2_1 tptp.a1687)) (or _let_245 (tptp.c0_1 tptp.a1686)) _let_333 _let_331 (or _let_240 (tptp.c1_1 tptp.a1675)) (or _let_240 (tptp.c0_1 tptp.a1675)) _let_329 _let_327 _let_325 _let_323 _let_321 _let_319 _let_317 _let_315 (or _let_213 (tptp.c0_1 tptp.a1662)) (or _let_213 (tptp.c1_1 tptp.a1662)) _let_313 (or _let_205 (tptp.c3_1 tptp.a1658)) (or _let_205 (tptp.c1_1 tptp.a1658)) _let_311 _let_309 _let_307 _let_305 _let_303 (or _let_200 (tptp.c2_1 tptp.a1653)) (or _let_200 (tptp.c1_1 tptp.a1653)) (or _let_300 (tptp.c3_1 tptp.a1652)) (or _let_300 (tptp.c2_1 tptp.a1652)) (or _let_300 (tptp.c0_1 tptp.a1652)) (or _let_199 (tptp.c3_1 tptp.a1651)) (or _let_199 (tptp.c1_1 tptp.a1651)) (or _let_198 (tptp.c0_1 tptp.a1649)) (or _let_197 (tptp.c3_1 tptp.a1644)) (or _let_196 (tptp.c0_1 tptp.a1642)) (or _let_195 (tptp.c2_1 tptp.a1641)) (or _let_299 (tptp.c3_1 tptp.a1640)) (or _let_299 (tptp.c2_1 tptp.a1640)) (or _let_299 (tptp.c1_1 tptp.a1640)) (or _let_194 (tptp.c2_1 tptp.a1639)) (or _let_194 (tptp.c0_1 tptp.a1639)) _let_298 _let_296 (or _let_189 (tptp.c0_1 tptp.a1726)) (or _let_189 (tptp.c2_1 tptp.a1726)) _let_294 _let_292 _let_290 (or _let_177 (tptp.c3_1 tptp.a1718)) _let_288 _let_286 (or _let_161 (tptp.c2_1 tptp.a1705)) (or _let_160 (tptp.c3_1 tptp.a1704)) (or _let_159 (tptp.c1_1 tptp.a1701)) (or _let_159 (tptp.c0_1 tptp.a1701)) (or _let_158 (tptp.c2_1 tptp.a1700)) (or _let_157 (tptp.c1_1 tptp.a1698)) (or _let_157 (tptp.c3_1 tptp.a1698)) _let_284 _let_282 (or _let_152 (tptp.c2_1 tptp.a1694)) (or _let_140 (tptp.c2_1 tptp.a1690)) (or _let_139 (tptp.c3_1 tptp.a1689)) (or _let_138 (tptp.c2_1 tptp.a1685)) (or _let_137 (tptp.c2_1 tptp.a1684)) (or _let_136 (tptp.c3_1 tptp.a1683)) (or _let_136 (tptp.c2_1 tptp.a1683)) _let_280 _let_278 _let_276 _let_274 _let_272 _let_270 _let_268 (or _let_45 (tptp.c2_1 tptp.a1657)) (or _let_44 (tptp.c3_1 tptp.a1655)) (or _let_44 (tptp.c0_1 tptp.a1655)) (or _let_42 (tptp.c3_1 tptp.a1648)) (or _let_41 (tptp.c1_1 tptp.a1647)) (or _let_40 (tptp.c0_1 tptp.a1646)) (or _let_29 (tptp.c3_1 tptp.a1643)) (or _let_25 (tptp.c1_1 tptp.a1637)) _let_266 (or (not (tptp.c2_1 tptp.a1724)) _let_264) (or (not (tptp.c3_1 tptp.a1717)) _let_263) _let_262 _let_258 (or (not (tptp.c2_1 tptp.a1713)) _let_254) (or (not (tptp.c0_1 tptp.a1710)) _let_253) (or (not (tptp.c3_1 tptp.a1710)) _let_253) (or (not (tptp.c1_1 tptp.a1709)) _let_252) _let_251 (or (not (tptp.c1_1 tptp.a1692)) _let_247) (or (not (tptp.c2_1 tptp.a1692)) _let_247) (or (not (tptp.c3_1 tptp.a1687)) _let_246) (or (not (tptp.c0_1 tptp.a1687)) _let_246) (or (not (tptp.c3_1 tptp.a1686)) _let_245) (or (not (tptp.c1_1 tptp.a1686)) _let_245) _let_244 (or (not (tptp.c3_1 tptp.a1675)) _let_240) _let_239 _let_236 _let_232 _let_228 _let_224 _let_221 _let_217 (or (not (tptp.c2_1 tptp.a1662)) _let_213) _let_212 _let_209 (or (not (tptp.c0_1 tptp.a1658)) _let_205) _let_204 (or (not (tptp.c0_1 tptp.a1653)) _let_200) (or (not (tptp.c2_1 tptp.a1651)) _let_199) (or (not (tptp.c3_1 tptp.a1649)) _let_198) (or (not (tptp.c2_1 tptp.a1649)) _let_198) (or (not (tptp.c1_1 tptp.a1644)) _let_197) (or (not (tptp.c0_1 tptp.a1644)) _let_197) (or (not (tptp.c2_1 tptp.a1642)) _let_196) (or (not (tptp.c1_1 tptp.a1642)) _let_196) (or (not (tptp.c3_1 tptp.a1641)) _let_195) (or (not (tptp.c1_1 tptp.a1641)) _let_195) (or (not (tptp.c1_1 tptp.a1639)) _let_194) _let_193 (or (not (tptp.c1_1 tptp.a1726)) _let_189) _let_188 _let_184 _let_181 (or (not (tptp.c2_1 tptp.a1718)) _let_177) (or (not (tptp.c0_1 tptp.a1718)) _let_177) _let_176 (or (not (tptp.c2_1 tptp.a1712)) _let_172) (or (not (tptp.c0_1 tptp.a1712)) _let_172) (or (not (tptp.c1_1 tptp.a1712)) _let_172) _let_171 _let_168 _let_165 (or (not (tptp.c3_1 tptp.a1705)) _let_161) (or (not (tptp.c1_1 tptp.a1705)) _let_161) (or (not (tptp.c0_1 tptp.a1704)) _let_160) (or (not (tptp.c2_1 tptp.a1704)) _let_160) (or (not (tptp.c3_1 tptp.a1701)) _let_159) (or (not (tptp.c0_1 tptp.a1700)) _let_158) (or (not (tptp.c3_1 tptp.a1700)) _let_158) (or (not (tptp.c0_1 tptp.a1698)) _let_157) _let_156 (or (not (tptp.c1_1 tptp.a1694)) _let_152) (or (not (tptp.c3_1 tptp.a1694)) _let_152) (or (not (tptp.c0_1 tptp.a1693)) _let_151) (or (not (tptp.c3_1 tptp.a1693)) _let_151) (or (not (tptp.c2_1 tptp.a1693)) _let_151) _let_150 _let_147 _let_144 (or (not (tptp.c0_1 tptp.a1690)) _let_140) (or (not (tptp.c1_1 tptp.a1690)) _let_140) (or (not (tptp.c0_1 tptp.a1689)) _let_139) (or (not (tptp.c1_1 tptp.a1689)) _let_139) (or (not (tptp.c0_1 tptp.a1685)) _let_138) (or (not (tptp.c1_1 tptp.a1685)) _let_138) (or (not (tptp.c0_1 tptp.a1684)) _let_137) (or (not (tptp.c3_1 tptp.a1684)) _let_137) (or (not (tptp.c1_1 tptp.a1683)) _let_136) _let_135 _let_132 _let_129 _let_125 _let_122 _let_119 (or (not (tptp.c3_1 tptp.a1680)) _let_115) (or (not (tptp.c1_1 tptp.a1680)) _let_115) (or (not (tptp.c0_1 tptp.a1680)) _let_115) _let_114 _let_111 _let_108 _let_104 _let_101 _let_98 _let_94 _let_90 _let_87 _let_83 _let_79 _let_75 _let_72 _let_69 _let_65 _let_62 _let_59 _let_55 _let_52 _let_49 (or (not (tptp.c1_1 tptp.a1657)) _let_45) (or (not (tptp.c0_1 tptp.a1657)) _let_45) (or (not (tptp.c2_1 tptp.a1655)) _let_44) (or (not (tptp.c1_1 tptp.a1650)) _let_43) (or (not (tptp.c2_1 tptp.a1650)) _let_43) (or (not (tptp.c3_1 tptp.a1650)) _let_43) (or (not (tptp.c1_1 tptp.a1648)) _let_42) (or (not (tptp.c0_1 tptp.a1648)) _let_42) (or (not (tptp.c0_1 tptp.a1647)) _let_41) (or (not (tptp.c2_1 tptp.a1647)) _let_41) (or (not (tptp.c1_1 tptp.a1646)) _let_40) (or (not (tptp.c2_1 tptp.a1646)) _let_40) _let_39 _let_36 _let_33 (or (not (tptp.c1_1 tptp.a1643)) _let_29) (or (not (tptp.c2_1 tptp.a1643)) _let_29) _let_28 (forall ((U $$unsorted)) (or (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 U) tptp.hskp56 tptp.hskp10)) _let_24 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 U) tptp.hskp4 tptp.hskp5)) _let_23 (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c3_1 U) tptp.hskp60 tptp.hskp18)) (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c0_1 U) tptp.hskp61 tptp.hskp24)) _let_22 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 U) tptp.hskp36 tptp.hskp71)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) (tptp.c0_1 U) tptp.hskp41 tptp.hskp30)) _let_21 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp48 tptp.hskp6)) (forall ((U $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c3_1 U) tptp.hskp52 tptp.hskp7)) _let_20 _let_19 (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) tptp.hskp61 tptp.hskp62)) _let_18 _let_17 (forall ((U $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c2_1 U) tptp.hskp61 tptp.hskp33)) (forall ((U $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) tptp.hskp50 tptp.hskp51)) _let_16 (forall ((U $$unsorted)) (or (not (tptp.c3_1 U)) (not (tptp.c2_1 U)) (not (tptp.c0_1 U)) (not tptp.ndr1_0) tptp.hskp74 tptp.hskp38)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp1)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c1_1 U)) (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c2_1 U) (tptp.c0_1 U) tptp.hskp49)) (forall ((U $$unsorted) (V $$unsorted)) (or (not tptp.ndr1_0) (not (tptp.c2_1 U)) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c3_1 V) (tptp.c1_1 U) (tptp.c0_1 U) tptp.hskp70)) _let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c2_1 U) (tptp.c3_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp21)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (tptp.c3_1 U) (tptp.c2_1 U) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp22)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (tptp.c0_1 U) (tptp.c1_1 V) (tptp.c0_1 V) (tptp.c3_1 V) tptp.hskp25)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 V) (tptp.c3_1 V) tptp.hskp69)) _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c2_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c0_1 V) (tptp.c2_1 V) tptp.hskp46)) _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 V) tptp.hskp30)) _let_12 _let_11 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 V)) (tptp.c1_1 U) (tptp.c2_1 U) (tptp.c3_1 V) tptp.hskp75)) _let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c2_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c1_1 U) (tptp.c2_1 V) tptp.hskp34)) _let_9 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c1_1 V)) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (tptp.c3_1 U) (tptp.c2_1 U) tptp.hskp47)) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.c1_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c2_1 V)) (not (tptp.c1_1 V)) (not (tptp.c0_1 V)) (tptp.c2_1 U) tptp.hskp0)) _let_3 _let_2 _let_1 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c2_1 V) (tptp.c0_1 V) (tptp.c1_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c3_1 U)) (not tptp.ndr1_0) (not (tptp.c0_1 V)) (not (tptp.c3_1 V)) (not (tptp.c1_1 W)) (not (tptp.c2_1 W)) (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c1_1 V) (tptp.c3_1 W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.c0_1 U)) (not tptp.ndr1_0) (not (tptp.c3_1 V)) (not (tptp.c0_1 V)) (not (tptp.c1_1 V)) (not (tptp.c3_1 W)) (tptp.c2_1 U) (tptp.c1_1 U) (tptp.c1_1 W) (tptp.c2_1 W))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.91 )
% 0.73/0.91 % SZS output end Proof for SYN457-1
% 0.73/0.91 % cvc5---1.0.5 exiting
% 0.73/0.91 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------