TSTP Solution File: SYN548+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 02:04:02 EDT 2023
% Result : Theorem 4.65s 4.89s
% Output : Proof 4.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:20:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 4.65/4.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GwjINCsRCb/cvc5---1.0.5_11650.p...
% 4.65/4.89 ------- get file name : TPTP file name is SYN548+1
% 4.65/4.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11650.smt2...
% 4.65/4.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.65/4.89 % SZS status Theorem for SYN548+1
% 4.65/4.89 % SZS output start Proof for SYN548+1
% 4.65/4.89 (
% 4.65/4.89 (let ((_let_1 (not (exists ((X $$unsorted)) (and (tptp.reachable tptp.initial_world X) (forall ((Y $$unsorted)) (=> (tptp.reachable X Y) (= (forall ((Z $$unsorted)) (=> (tptp.reachable Y Z) (or (tptp.p Z) (forall ((V $$unsorted)) (=> (tptp.reachable Z V) (tptp.q V)))))) (or (forall ((W $$unsorted)) (=> (tptp.reachable Y W) (tptp.p W))) (forall ((W $$unsorted)) (=> (tptp.reachable Y W) (tptp.q W)))))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.reachable X Y) (tptp.reachable Y Z)) (tptp.reachable X Z))))) (let ((_let_3 (forall ((X $$unsorted)) (tptp.reachable X X)))) (let ((_let_4 (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))))) (let ((_let_5 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_6 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_9 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_7 _let_5))) (let ((_let_12 (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 W)) (tptp.q W))))) (let ((_let_13 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_14 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_14))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.reachable X Y)) (not (tptp.reachable Y Z)) (tptp.reachable X Z))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 (not (= (tptp.reachable Y Z) false)))) (let ((_let_27 ((not (= (tptp.reachable X Y) false)) _let_26))) (let ((_let_28 (or _let_19 _let_13))) (let ((_let_29 (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 W)) (tptp.q W))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 W)) (tptp.p W))))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_34 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))))) (let ((_let_38 (= _let_37 _let_32))) (let ((_let_39 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_42 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_40 _let_33))) (let ((_let_45 (or _let_43 _let_40 _let_34))) (let ((_let_46 (not _let_29))) (let ((_let_47 (_let_29))) (let ((_let_48 ((not (= (tptp.q W) true))))) (let ((_let_49 (or _let_21 _let_38))) (let ((_let_50 (forall ((Y $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Y)) (= (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable Y Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))) (or (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.p W))) (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.q W))))))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (not _let_50))) (let ((_let_53 (tptp.reachable tptp.initial_world SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (forall ((X $$unsorted)) (or (not (tptp.reachable tptp.initial_world X)) (not (forall ((Y $$unsorted)) (or (not (tptp.reachable X Y)) (= (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable Y Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))) (or (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.p W))) (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.q W)))))))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((not (= (tptp.reachable tptp.initial_world X) false))))) (let ((_let_60 (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 W)) (tptp.p W))))) (let ((_let_61 (or _let_60 _let_12))) (let ((_let_62 (= _let_4 _let_61))) (let ((_let_63 (or _let_54 _let_62))) (let ((_let_64 (forall ((Y $$unsorted)) (or (not (tptp.reachable tptp.initial_world Y)) (= (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable Y Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))) (or (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.p W))) (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.q W))))))))) (let ((_let_65 (not _let_63))) (let ((_let_66 (not _let_64))) (let ((_let_67 (tptp.reachable tptp.initial_world tptp.initial_world))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (tptp.initial_world QUANTIFIERS_INST_ENUM))) (let ((_let_71 (_let_3))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (or))) (let ((_let_74 (_let_66))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_64))) (REFL :args (_let_65)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_66 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args _let_70) :args _let_71)) _let_72 :args (_let_67 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_70) :args _let_58)) _let_57 :args (_let_69 false _let_56)) :args (_let_66 false _let_67 false _let_69)) :args (_let_65 true _let_64)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_63 0)) (CONG (REFL :args (_let_63)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_73)) :args ((or _let_53 _let_63))) _let_75 :args (_let_53 true _let_63)))) (let ((_let_77 (_let_52))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_50))) (REFL :args (_let_51)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_52 (not _let_55)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_52 false _let_53 false _let_55)) :args (_let_51 true _let_50)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_49 1)) _let_78 :args ((not _let_38) true _let_49)))) (let ((_let_80 (_let_38))) (let ((_let_81 (CNF_EQUIV_NEG2 :args _let_80))) (let ((_let_82 (not _let_37))) (let ((_let_83 (_let_82))) (let ((_let_84 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_37))) (REFL :args ((not _let_44))) :args _let_73)))) (let ((_let_85 (REFL :args (_let_44)))) (let ((_let_86 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_73)) :args ((or _let_42 _let_44))))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_33 _let_35 (not _let_36)))) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_43 _let_40 _let_34 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_45 false _let_23)) (CNF_OR_NEG :args (_let_44 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 2)) (CONG _let_85 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_73)) :args ((or _let_39 _let_44))) _let_86 _let_84 _let_81 _let_79 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) (CNF_OR_NEG :args (_let_32 1)) :args (_let_46 false _let_34 false _let_45 true _let_33 false _let_39 false _let_42 true _let_44 true _let_37 true _let_38 false _let_36 false _let_32)))) (let ((_let_88 (_let_46))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_88)) :args _let_88)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_29))) (REFL :args (_let_30)) :args _let_73)) _let_87 :args (_let_30 true _let_29)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_73)) :args ((or _let_20 _let_49))) _let_78 :args (_let_20 true _let_49)))) (let ((_let_91 (_let_12))) (let ((_let_92 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_93 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92 (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_96 (or _let_94 _let_92))) (let ((_let_97 (not _let_4))) (let ((_let_98 (_let_97))) (let ((_let_99 (_let_60))) (let ((_let_100 (not _let_11))) (let ((_let_101 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_102 _let_6))) (let ((_let_106 (or _let_102 _let_5))) (let ((_let_107 (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 W)) (tptp.q W))))) (let ((_let_108 (not _let_106))) (let ((_let_109 (or (forall ((W $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 W)) (tptp.p W))) _let_107))) (let ((_let_110 (not _let_107))) (let ((_let_111 (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))))) (let ((_let_112 (= _let_111 _let_109))) (let ((_let_113 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_114 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_117 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116 _let_115 _let_113))) (let ((_let_120 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40))) (let ((_let_121 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_122 (not _let_120))) (let ((_let_123 (or _let_122 _let_118 _let_121))) (let ((_let_124 (not _let_121))) (let ((_let_125 (or _let_124 _let_116 _let_115 _let_113))) (let ((_let_126 (REFL :args (_let_119)))) (let ((_let_127 (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_104 _let_120))) (let ((_let_130 ((not (= (tptp.reachable X Z) true)) _let_26))) (let ((_let_131 (or _let_104 _let_112))) (let ((_let_132 (forall ((Y $$unsorted)) (or (not (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 Y)) (= (forall ((Z $$unsorted) (BOUND_VARIABLE_647 $$unsorted)) (or (not (tptp.reachable Y Z)) (tptp.p Z) (not (tptp.reachable Z BOUND_VARIABLE_647)) (tptp.q BOUND_VARIABLE_647))) (or (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.p W))) (forall ((W $$unsorted)) (or (not (tptp.reachable Y W)) (tptp.q W))))))))) (let ((_let_133 (not _let_131))) (let ((_let_134 (not _let_132))) (let ((_let_135 (tptp.reachable tptp.initial_world SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_134))) (let ((_let_138 (tptp.reachable tptp.initial_world SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_128 _let_135))) (let ((_let_141 (or _let_54 _let_21 _let_138))) (let ((_let_142 (or _let_128 _let_8))) (let ((_let_143 (not _let_142))) (let ((_let_144 (not _let_31))) (let ((_let_145 (not _let_32))) (let ((_let_146 (or _let_43 _let_41))) (let ((_let_147 (_let_31))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_43 _let_41 (not _let_146)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_147) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 W) false))))) :args _let_147)) (CNF_OR_NEG :args (_let_44 1)) _let_86 (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 _let_145))) _let_87 _let_84 (REORDERING (CNF_EQUIV_NEG1 :args _let_80) :args ((or _let_37 _let_32 _let_38))) _let_79 :args (_let_37 false _let_146 true _let_41 false _let_42 false _let_31 true _let_29 true _let_44 false _let_32 true _let_38)))) (let ((_let_149 (_let_144))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_149)) :args _let_149)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_144) _let_31))) (REFL :args (_let_143)) :args _let_73)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 0)) (MACRO_RESOLUTION_TRUST _let_81 _let_79 _let_148 :args (_let_145 true _let_38 false _let_37)) :args (_let_144 true _let_32)) :args (_let_143 true _let_31)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_142 0)) (CONG (REFL :args (_let_142)) (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_127))) :args _let_73)) :args ((or _let_127 _let_142))) _let_150 :args (_let_127 true _let_142)))) (let ((_let_152 (_let_134))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_152)) :args _let_152)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_132))) (REFL :args (_let_133)) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_134 (not _let_137)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_128 _let_139 _let_135 (not _let_140)))) _let_151 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_54 _let_21 _let_138 (not _let_141)))) _let_76 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.initial_world SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_141 false _let_23)) :args (_let_138 false _let_53 false _let_20 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.initial_world SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_140 false _let_23)) :args (_let_135 false _let_127 false _let_138 false _let_140)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_137 false _let_56)) :args (_let_134 false _let_135 false _let_137)) :args (_let_133 true _let_132)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_131 0)) (CONG (REFL :args (_let_131)) (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) :args _let_73)) :args ((or _let_103 _let_131))) _let_153 :args (_let_103 true _let_131)))) (let ((_let_155 (_let_37))) (let ((_let_156 ((not (= (tptp.reachable Z BOUND_VARIABLE_647) false))))) (let ((_let_157 (not _let_111))) (let ((_let_158 (_let_157))) (let ((_let_159 (_let_110))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_159)) :args _let_159)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_107))) (REFL :args (_let_108)) :args _let_73)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_109 1)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args (_let_112)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_131 1)) _let_153 :args ((not _let_112) true _let_131)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_158)) :args _let_158)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_157) _let_111))) (REFL :args ((not _let_119))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_116 _let_115 _let_113 _let_124 (not _let_125)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_155) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_148 :args (_let_125 false _let_37)) (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_118 _let_122 _let_121 (not _let_123)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_25)) _let_24 :args (_let_123 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_104 _let_120 (not _let_129)))) _let_151 _let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_25)) _let_24 :args (_let_129 false _let_23)) :args (_let_120 false _let_127 false _let_103 false _let_129)) (CNF_OR_NEG :args (_let_119 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_119 2)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_114))) :args _let_73)) :args ((or _let_114 _let_119))) (CNF_OR_NEG :args (_let_119 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_119 0)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_117))) :args _let_73)) :args ((or _let_117 _let_119))) :args (_let_119 false _let_125 false _let_121 false _let_123 false _let_120 true _let_113 false _let_114 true _let_116 false _let_117)) :args (_let_111 false _let_119)) :args ((not _let_109) true _let_112 false _let_111)) :args (_let_110 true _let_109)) :args (_let_108 true _let_107)))) (let ((_let_161 (or _let_21 _let_128 _let_9))) (let ((_let_162 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_162) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 _let_5 _let_7 _let_100))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_142 1)) _let_150 :args ((not _let_8) true _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_21 _let_128 _let_9 (not _let_161)))) _let_90 _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_161 false _let_23)) :args (_let_9 false _let_20 false _let_127 false _let_161)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_106 1)) _let_160 :args ((not _let_5) true _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_102 _let_6 (not _let_105)))) _let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_106 0)) (CONG (REFL :args (_let_106)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_73)) :args ((or _let_101 _let_106))) _let_160 :args (_let_101 true _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_105 false _let_23)) :args (_let_6 false _let_103 false _let_101 false _let_105)) :args (_let_100 true _let_8 false _let_9 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_94 _let_92 (not _let_96)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_99) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reachable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 W) false))))) :args _let_99)) (CNF_OR_NEG :args (_let_95 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG (REFL :args (_let_95)) (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_73)) :args ((or _let_93 _let_95))) (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_12 (not _let_61)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_4))) (REFL :args ((not _let_95))) :args _let_73)) (REORDERING (CNF_EQUIV_NEG1 :args (_let_62)) :args ((or _let_4 _let_61 _let_62))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_63 1)) _let_75 :args ((not _let_62) true _let_63)) :args ((or _let_4 _let_12) false _let_96 true _let_92 false _let_93 false _let_60 true _let_95 false _let_61 true _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 _let_17))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) _let_89 :args ((not _let_13) true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_14 (not _let_22)))) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_73)) :args ((or _let_18 _let_28))) _let_89 :args (_let_18 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_25)) _let_24 :args (_let_22 false _let_23)) :args (_let_14 false _let_20 false _let_18 false _let_22)) :args (_let_17 true _let_13 false _let_14)) :args ((not _let_12) true _let_16)) :args (_let_4 true _let_12)) :args (false true _let_11 false _let_4)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.65/4.89 )
% 4.65/4.89 % SZS output end Proof for SYN548+1
% 4.65/4.89 % cvc5---1.0.5 exiting
% 4.65/4.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------