TSTP Solution File: NUM426+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM426+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Thu Aug 31 10:43:47 EDT 2023
% Result : Theorem 24.17s 24.36s
% Output : Proof 24.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM426+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 09:27:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 24.17/24.36 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.NarSOSO5YQ/cvc5---1.0.5_30052.p...
% 24.17/24.36 ------- get file name : TPTP file name is NUM426+1
% 24.17/24.36 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30052.smt2...
% 24.17/24.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 24.17/24.36 --- Run --no-e-matching --full-saturate-quant at 5...
% 24.17/24.36 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 24.17/24.36 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 24.17/24.36 % SZS status Theorem for NUM426+1
% 24.17/24.36 % SZS output start Proof for NUM426+1
% 24.17/24.36 (
% 24.17/24.36 (let ((_let_1 (tptp.smndt0 tptp.xa))) (let ((_let_2 (tptp.smndt0 tptp.xn))) (let ((_let_3 (= (tptp.sdtasdt0 tptp.xq _let_2) (tptp.sdtpldt0 tptp.xb _let_1)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.smndt0 tptp.xb))) (let ((_let_6 (tptp.sdtasdt0 tptp.xq tptp.xn))) (let ((_let_7 (= _let_6 (tptp.sdtpldt0 tptp.xa _let_5)))) (let ((_let_8 (tptp.aInteger0 tptp.xn))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.aInteger0 tptp.xq))) (let ((_let_11 (tptp.aInteger0 tptp.xb))) (let ((_let_12 (tptp.aInteger0 tptp.xa))) (let ((_let_13 (and _let_12 _let_11 _let_10 (not (= tptp.xq tptp.sz00))))) (let ((_let_14 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_17 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_21 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_22 (tptp.aInteger0 tptp.sz10))) (let ((_let_23 (tptp.aInteger0 tptp.sz00))) (let ((_let_24 (tptp.smndt0 tptp.sz10))) (let ((_let_25 (tptp.sdtasdt0 _let_24 tptp.sz00))) (let ((_let_26 (tptp.smndt0 tptp.sz00))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.sdtasdt0 tptp.sz00 _let_24))) (let ((_let_29 (= _let_26 _let_28))) (let ((_let_30 (= tptp.sz00 (tptp.sdtpldt0 tptp.xb _let_5)))) (let ((_let_31 (= tptp.sz00 (tptp.sdtpldt0 _let_5 tptp.xb)))) (let ((_let_32 (tptp.sdtasdt0 _let_24 tptp.xb))) (let ((_let_33 (tptp.sdtpldt0 tptp.sz00 tptp.xb))) (let ((_let_34 (= (tptp.sdtasdt0 _let_24 _let_33) (tptp.sdtpldt0 _let_25 _let_32)))) (let ((_let_35 (tptp.sdtasdt0 tptp.xb _let_24))) (let ((_let_36 (tptp.sdtasdt0 _let_33 _let_24))) (let ((_let_37 (= _let_36 (tptp.sdtpldt0 _let_28 _let_35)))) (let ((_let_38 (= _let_5 _let_32))) (let ((_let_39 (= _let_5 _let_35))) (let ((_let_40 (tptp.sdtpldt0 tptp.xb tptp.sz00))) (let ((_let_41 (= _let_40 _let_33))) (let ((_let_42 (= tptp.xb _let_40))) (let ((_let_43 (tptp.sdtasdt0 _let_24 _let_36))) (let ((_let_44 (tptp.smndt0 _let_36))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (tptp.sdtasdt0 _let_36 _let_24))) (let ((_let_47 (= _let_44 _let_46))) (let ((_let_48 (tptp.sdtpldt0 _let_36 _let_44))) (let ((_let_49 (= tptp.sz00 _let_48))) (let ((_let_50 (= tptp.sz00 (tptp.sdtpldt0 _let_44 _let_36)))) (let ((_let_51 (= (tptp.sdtasdt0 _let_24 (tptp.sdtpldt0 _let_36 tptp.xb)) (tptp.sdtpldt0 _let_43 _let_32)))) (let ((_let_52 (= (tptp.sdtasdt0 _let_24 (tptp.sdtpldt0 tptp.sz00 _let_36)) (tptp.sdtpldt0 _let_25 _let_43)))) (let ((_let_53 (tptp.sdtasdt0 tptp.xn _let_24))) (let ((_let_54 (= _let_2 _let_53))) (let ((_let_55 (= (tptp.sdtpldt0 tptp.xb _let_48) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xb _let_36) _let_44)))) (let ((_let_56 (= (tptp.sdtasdt0 tptp.xq _let_53) (tptp.sdtasdt0 _let_6 _let_24)))) (let ((_let_57 (tptp.sdtasdt0 _let_24 tptp.xa))) (let ((_let_58 (= _let_1 _let_57))) (let ((_let_59 (tptp.sdtasdt0 tptp.xa _let_24))) (let ((_let_60 (= _let_1 _let_59))) (let ((_let_61 (tptp.sdtasdt0 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_62 (= tptp.xb _let_61))) (let ((_let_63 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.xa))) (let ((_let_64 (tptp.sdtpldt0 tptp.xa SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (= (tptp.sdtasdt0 _let_24 _let_63) (tptp.sdtpldt0 _let_61 _let_57)))) (let ((_let_67 (= (tptp.sdtasdt0 _let_24 _let_64) (tptp.sdtpldt0 _let_57 _let_61)))) (let ((_let_68 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xa _let_36) _let_24) (tptp.sdtpldt0 _let_59 _let_46)))) (let ((_let_69 (1))) (let ((_let_70 (ASSUME :args (_let_9)))) (let ((_let_71 (ASSUME :args (_let_4)))) (let ((_let_72 (and _let_27 _let_29))) (let ((_let_73 (not _let_23))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (ASSUME :args (_let_23)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 (not _let_74)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sz00 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_72 false _let_23 false _let_74)))) (let ((_let_80 (not _let_72))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 0)) :args ((or _let_27 _let_80))) _let_79 :args (_let_27 false _let_72)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_29 _let_80))) _let_79 :args (_let_29 false _let_72)))) (let ((_let_83 (and _let_30 _let_31))) (let ((_let_84 (not _let_11))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (AND_ELIM _let_89 :args _let_69))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_83 (not _let_85)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.xb QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_83 false _let_11 false _let_85)))) (let ((_let_92 (not _let_83))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 0)) :args ((or _let_30 _let_92))) _let_91 :args (_let_30 false _let_83)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_31 _let_92))) _let_91 :args (_let_31 false _let_83)))) (let ((_let_95 (tptp.sdtasdt0 tptp.sz00 tptp.xb))) (let ((_let_96 (tptp.sdtpldt0 _let_24 tptp.sz00))) (let ((_let_97 (and _let_34 (= (tptp.sdtasdt0 _let_96 tptp.xb) (tptp.sdtpldt0 _let_32 _let_95))))) (let ((_let_98 (tptp.aInteger0 _let_24))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_73 _let_84 _let_97))) (let ((_let_101 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 (not _let_22))) (let ((_let_105 (or _let_104 _let_98))) (let ((_let_106 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_98 (not _let_105)))) (ASSUME :args (_let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_107 :args (_let_105 false _let_106)) :args (_let_98 false _let_22 false _let_105)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_34 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_73 _let_84 _let_99 _let_97 (not _let_100)))) _let_78 _let_90 _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 tptp.sz00 tptp.xb QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_103)) _let_102 :args (_let_100 false _let_101)) :args (_let_97 false _let_23 false _let_11 false _let_98 false _let_100)) :args (_let_34 false _let_97)))) (let ((_let_111 (and (= (tptp.sdtasdt0 tptp.sz00 (tptp.sdtpldt0 tptp.xb _let_24)) (tptp.sdtpldt0 _let_95 _let_28)) _let_37))) (let ((_let_112 (or _let_73 _let_84 _let_99 _let_111))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_37 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_73 _let_84 _let_99 _let_111 (not _let_112)))) _let_78 _let_90 _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sz00 tptp.xb _let_24 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_103)) _let_102 :args (_let_112 false _let_101)) :args (_let_111 false _let_23 false _let_11 false _let_98 false _let_112)) :args (_let_37 false _let_111)))) (let ((_let_114 (and _let_38 _let_39))) (let ((_let_115 (or _let_84 _let_114))) (let ((_let_116 (tptp.xb QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_84 _let_114 (not _let_115)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_116) :args _let_77)) _let_76 :args (_let_115 false _let_75)) :args (_let_114 false _let_11 false _let_115)))) (let ((_let_118 (not _let_114))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 0)) :args ((or _let_38 _let_118))) _let_117 :args (_let_38 false _let_114)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 1)) :args ((or _let_39 _let_118))) _let_117 :args (_let_39 false _let_114)))) (let ((_let_121 (or _let_73 _let_84 _let_41))) (let ((_let_122 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_73 _let_84 _let_41 (not _let_121)))) _let_78 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.sz00 tptp.xb QUANTIFIERS_INST_CBQI_PROP)) :args _let_124))) _let_123 :args (_let_121 false _let_122)) :args (_let_41 false _let_23 false _let_11 false _let_121)))) (let ((_let_126 (and _let_42 (= tptp.xb _let_33)))) (let ((_let_127 (or _let_84 _let_126))) (let ((_let_128 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 0)) :args ((or _let_42 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_84 _let_126 (not _let_127)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.xb QUANTIFIERS_INST_CBQI_PROP)) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_126 false _let_11 false _let_127)) :args (_let_42 false _let_126)))) (let ((_let_131 (and _let_45 _let_47))) (let ((_let_132 (tptp.aInteger0 _let_36))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_131))) (let ((_let_135 (tptp.aInteger0 _let_5))) (let ((_let_136 (or _let_84 _let_135))) (let ((_let_137 (not _let_41))) (let ((_let_138 (not _let_42))) (let ((_let_139 (not _let_39))) (let ((_let_140 (not _let_38))) (let ((_let_141 (not _let_37))) (let ((_let_142 (not _let_34))) (let ((_let_143 (not _let_29))) (let ((_let_144 (not _let_27))) (let ((_let_145 (and _let_27 _let_29 _let_34 _let_37 _let_42 _let_38 _let_39 _let_41 _let_135))) (let ((_let_146 (ASSUME :args (_let_135)))) (let ((_let_147 (ASSUME :args (_let_38)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (APPLY_UF tptp.sdtasdt0))) (let ((_let_150 (ASSUME :args (_let_42)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (REFL :args (_let_24)))) (let ((_let_153 (CONG _let_152 _let_151 :args _let_149))) (let ((_let_154 (ASSUME :args (_let_41)))) (let ((_let_155 (CONG _let_152 (SYMM _let_154) :args _let_149))) (let ((_let_156 (ASSUME :args (_let_34)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (APPLY_UF tptp.sdtpldt0))) (let ((_let_159 (ASSUME :args (_let_39)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (TRANS _let_160 _let_147))) (let ((_let_162 (ASSUME :args (_let_27)))) (let ((_let_163 (SYMM (SYMM _let_162)))) (let ((_let_164 (ASSUME :args (_let_29)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (TRANS _let_165 _let_163))) (let ((_let_167 (CONG _let_166 _let_161 :args _let_158))) (let ((_let_168 (ASSUME :args (_let_37)))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (TRANS _let_170 _let_167 _let_157 _let_155 _let_153 _let_148))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_147 _let_150 _let_154 _let_156 _let_162 _let_164 _let_159 _let_168) (SCOPE (TRUE_ELIM (TRANS (CONG _let_171 :args (APPLY_UF tptp.aInteger0)) (TRUE_INTRO _let_146))) :args (_let_135 _let_38 _let_42 _let_41 _let_34 _let_27 _let_29 _let_39 _let_37))) :args (_let_27 _let_29 _let_34 _let_37 _let_42 _let_38 _let_39 _let_41 _let_135))) :args (true _let_145)) :args ((or _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_132 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_84 _let_135 (not _let_136)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_116) :args _let_108)) _let_107 :args (_let_136 false _let_106)) :args (_let_135 false _let_11 false _let_136)) _let_130 _let_125 _let_120 _let_119 _let_113 _let_110 _let_82 _let_81 :args (_let_132 false _let_135 false _let_42 false _let_41 false _let_39 false _let_38 false _let_37 false _let_34 false _let_29 false _let_27)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_133 _let_131 (not _let_134)))) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_36 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_77)) _let_76 :args (_let_134 false _let_75)) :args (_let_131 false _let_132 false _let_134)))) (let ((_let_174 (not _let_131))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_131 0)) :args ((or _let_45 _let_174))) _let_173 :args (_let_45 false _let_131)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_131 1)) :args ((or _let_47 _let_174))) _let_173 :args (_let_47 false _let_131)))) (let ((_let_177 (and _let_49 _let_50))) (let ((_let_178 (or _let_133 _let_177))) (let ((_let_179 (_let_36 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_133 _let_177 (not _let_178)))) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_179) :args _let_88)) _let_87 :args (_let_178 false _let_86)) :args (_let_177 false _let_132 false _let_178)))) (let ((_let_181 (not _let_177))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_177 0)) :args ((or _let_49 _let_181))) _let_180 :args (_let_49 false _let_177)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_177 1)) :args ((or _let_50 _let_181))) _let_180 :args (_let_50 false _let_177)))) (let ((_let_184 (and _let_51 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_24 _let_36) tptp.xb) (tptp.sdtpldt0 _let_32 (tptp.sdtasdt0 _let_36 tptp.xb)))))) (let ((_let_185 (or _let_99 _let_133 _let_84 _let_184))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_184 0)) :args ((or _let_51 (not _let_184)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_84 _let_99 _let_133 _let_184 (not _let_185)))) _let_90 _let_109 _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 _let_36 tptp.xb QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_103)) _let_102 :args (_let_185 false _let_101)) :args (_let_184 false _let_11 false _let_98 false _let_132 false _let_185)) :args (_let_51 false _let_184)))) (let ((_let_187 (and _let_52 (= (tptp.sdtasdt0 _let_96 _let_36) (tptp.sdtpldt0 _let_43 (tptp.sdtasdt0 tptp.sz00 _let_36)))))) (let ((_let_188 (or _let_99 _let_73 _let_133 _let_187))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_187 0)) :args ((or _let_52 (not _let_187)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_73 _let_99 _let_133 _let_187 (not _let_188)))) _let_78 _let_109 _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 tptp.sz00 _let_36 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_103)) _let_102 :args (_let_188 false _let_101)) :args (_let_187 false _let_23 false _let_98 false _let_132 false _let_188)) :args (_let_52 false _let_187)))) (let ((_let_190 (and (= _let_2 (tptp.sdtasdt0 _let_24 tptp.xn)) _let_54))) (let ((_let_191 (not _let_8))) (let ((_let_192 (or _let_191 _let_190))) (let ((_let_193 (0))) (let ((_let_194 (AND_ELIM _let_70 :args _let_193))) (let ((_let_195 (tptp.aInteger0 _let_44))) (let ((_let_196 (not _let_195))) (let ((_let_197 (or _let_84 _let_133 _let_196 _let_55))) (let ((_let_198 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_199 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_200 (or _let_133 _let_195))) (let ((_let_201 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_197)) :args ((or _let_84 _let_133 _let_196 _let_55 (not _let_197)))) _let_90 _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_200)) :args ((or _let_133 _let_195 (not _let_200)))) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_179) :args _let_108)) _let_107 :args (_let_200 false _let_106)) :args (_let_195 false _let_132 false _let_200)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.xb _let_36 _let_44 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_198))) _let_199 :args (_let_197 false _let_198)) :args (_let_55 false _let_11 false _let_132 false _let_195 false _let_197)))) (let ((_let_202 (not _let_10))) (let ((_let_203 (or _let_202 _let_191 _let_99 _let_56))) (let ((_let_204 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_205 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_206 (and _let_58 _let_60))) (let ((_let_207 (not _let_12))) (let ((_let_208 (or _let_207 _let_206))) (let ((_let_209 (AND_ELIM _let_89 :args _let_193))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_208)) :args ((or _let_207 _let_206 (not _let_208)))) _let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.xa QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_208 false _let_75)) :args (_let_206 false _let_12 false _let_208)))) (let ((_let_211 (not _let_206))) (let ((_let_212 (not _let_62))) (let ((_let_213 (tptp.aInteger0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_214 (not _let_213))) (let ((_let_215 (or _let_214 _let_212))) (let ((_let_216 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= tptp.xb (tptp.sdtasdt0 (tptp.smndt0 tptp.sz10) W2))))))) (let ((_let_217 (not _let_215))) (let ((_let_218 (= tptp.xb _let_43))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_133 _let_219))) (let ((_let_221 (not _let_216))) (let ((_let_222 (not _let_220))) (let ((_let_223 (not _let_55))) (let ((_let_224 (not _let_52))) (let ((_let_225 (not _let_51))) (let ((_let_226 (not _let_50))) (let ((_let_227 (not _let_49))) (let ((_let_228 (not _let_47))) (let ((_let_229 (not _let_45))) (let ((_let_230 (not _let_31))) (let ((_let_231 (not _let_30))) (let ((_let_232 (or))) (let ((_let_233 (REFL :args (_let_223)))) (let ((_let_234 (REFL :args (_let_224)))) (let ((_let_235 (REFL :args (_let_225)))) (let ((_let_236 (REFL :args (_let_226)))) (let ((_let_237 (REFL :args (_let_227)))) (let ((_let_238 (REFL :args (_let_228)))) (let ((_let_239 (REFL :args (_let_229)))) (let ((_let_240 (REFL :args (_let_137)))) (let ((_let_241 (REFL :args (_let_139)))) (let ((_let_242 (REFL :args (_let_140)))) (let ((_let_243 (REFL :args (_let_138)))) (let ((_let_244 (REFL :args (_let_141)))) (let ((_let_245 (REFL :args (_let_142)))) (let ((_let_246 (REFL :args (_let_230)))) (let ((_let_247 (REFL :args (_let_231)))) (let ((_let_248 (REFL :args (_let_143)))) (let ((_let_249 (REFL :args (_let_144)))) (let ((_let_250 (ASSUME :args (_let_219)))) (let ((_let_251 (SYMM _let_160))) (let ((_let_252 (ASSUME :args (_let_31)))) (let ((_let_253 (SYMM _let_252))) (let ((_let_254 (REFL :args (tptp.xb)))) (let ((_let_255 (TRANS (TRANS _let_170 _let_167 _let_157 _let_155 _let_153 _let_148 _let_251) _let_161 _let_148))) (let ((_let_256 (ASSUME :args (_let_51)))) (let ((_let_257 (SYMM _let_256))) (let ((_let_258 (ASSUME :args (_let_45)))) (let ((_let_259 (SYMM _let_258))) (let ((_let_260 (SYMM _let_259))) (let ((_let_261 (ASSUME :args (_let_50)))) (let ((_let_262 (SYMM _let_261))) (let ((_let_263 (TRANS (TRANS (SYMM _let_262) (CONG _let_260 (TRANS _let_170 _let_167 _let_157 _let_155 _let_153) :args _let_158) _let_257 (CONG _let_152 (TRANS (CONG _let_255 _let_254 :args _let_158) _let_253) :args _let_149) (SYMM _let_163)) (SYMM _let_165)))) (let ((_let_264 (REFL :args (tptp.sz00)))) (let ((_let_265 (ASSUME :args (_let_52)))) (let ((_let_266 (SYMM _let_265))) (let ((_let_267 (ASSUME :args (_let_47)))) (let ((_let_268 (SYMM _let_267))) (let ((_let_269 (ASSUME :args (_let_30)))) (let ((_let_270 (SYMM _let_269))) (let ((_let_271 (ASSUME :args (_let_55)))) (let ((_let_272 (SYMM _let_271))) (let ((_let_273 (ASSUME :args (_let_49)))) (let ((_let_274 (SYMM _let_273))) (let ((_let_275 (_let_216))) (let ((_let_276 (_let_221))) (let ((_let_277 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_276)) :args _let_276)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_221) _let_216))) (REFL :args (_let_217)) :args _let_232)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_275) :args _let_179) :args _let_275)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_220)) :args ((or _let_133 _let_219 _let_222))) _let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_250 (MODUS_PONENS (AND_INTRO _let_168 _let_164 _let_162 _let_252 _let_147 _let_159 _let_150 _let_154 _let_156 _let_256 _let_258 _let_261 _let_265 _let_267 _let_269 _let_271 _let_273) (SCOPE (TRANS _let_150 (CONG _let_254 (SYMM _let_274) :args _let_158) (SYMM _let_272) (CONG (TRANS (TRANS (CONG _let_254 _let_255 :args _let_158) _let_270) _let_263) _let_267 :args _let_158) (CONG _let_166 (TRANS _let_268 _let_260) :args _let_158) _let_266 (CONG _let_152 (TRANS (CONG _let_264 _let_255 :args _let_158) (CONG _let_263 _let_251 :args _let_158) (SYMM _let_170)) :args _let_149)) :args (_let_37 _let_29 _let_27 _let_31 _let_38 _let_39 _let_42 _let_41 _let_34 _let_51 _let_45 _let_50 _let_52 _let_47 _let_30 _let_55 _let_49)))) :args (_let_27 _let_29 _let_30 _let_31 _let_34 _let_37 _let_42 _let_38 _let_39 _let_41 _let_45 _let_47 _let_49 _let_50 _let_51 _let_52 _let_55 _let_219)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_218)))))) (FALSE_INTRO _let_250))) :args (_let_219 _let_218)) :args ((not (and _let_27 _let_29 _let_30 _let_31 _let_34 _let_37 _let_42 _let_38 _let_39 _let_41 _let_45 _let_47 _let_49 _let_50 _let_51 _let_52 _let_55 _let_219)) SB_LITERAL))) (CONG _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 (MACRO_SR_PRED_INTRO :args ((= (not _let_219) _let_218))) :args _let_232)) :args ((or _let_144 _let_143 _let_231 _let_230 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_218))) _let_81 _let_82 _let_93 _let_94 _let_110 _let_113 _let_119 _let_120 _let_130 _let_125 _let_175 _let_176 _let_182 _let_183 _let_186 _let_189 _let_201 :args (_let_218 false _let_27 false _let_29 false _let_30 false _let_31 false _let_34 false _let_37 false _let_38 false _let_39 false _let_42 false _let_41 false _let_45 false _let_47 false _let_49 false _let_50 false _let_51 false _let_52 false _let_55)) :args (_let_222 false _let_132 false _let_218)) :args (_let_221 true _let_220)) :args (_let_217 true _let_216)))) (let ((_let_278 (REFL :args (_let_215)))) (let ((_let_279 (or _let_207 _let_214 _let_65))) (let ((_let_280 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_215 0)) (CONG _let_278 (MACRO_SR_PRED_INTRO :args ((= (not _let_214) _let_213))) :args _let_232)) :args ((or _let_213 _let_215))) _let_277 :args (_let_213 true _let_215)))) (let ((_let_281 (and _let_66 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) tptp.xa) (tptp.sdtpldt0 _let_57 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.xa)))))) (let ((_let_282 (or _let_99 _let_214 _let_207 _let_281))) (let ((_let_283 (and _let_67 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_24 tptp.xa) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26) (tptp.sdtpldt0 _let_61 (tptp.sdtasdt0 tptp.xa SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)))))) (let ((_let_284 (or _let_99 _let_207 _let_214 _let_283))) (let ((_let_285 (and (= (tptp.sdtasdt0 tptp.xa (tptp.sdtpldt0 _let_36 _let_24)) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xa _let_36) _let_59)) _let_68))) (let ((_let_286 (or _let_207 _let_133 _let_99 _let_285))) (let ((_let_287 (not _let_68))) (let ((_let_288 (not _let_67))) (let ((_let_289 (not _let_65))) (let ((_let_290 (not _let_66))) (let ((_let_291 (not _let_60))) (let ((_let_292 (not _let_58))) (let ((_let_293 (not _let_56))) (let ((_let_294 (not _let_54))) (let ((_let_295 (not _let_7))) (let ((_let_296 (_let_287))) (let ((_let_297 (ASSUME :args (_let_68)))) (let ((_let_298 (ASSUME :args (_let_58)))) (let ((_let_299 (ASSUME :args (_let_62)))) (let ((_let_300 (ASSUME :args (_let_66)))) (let ((_let_301 (ASSUME :args (_let_65)))) (let ((_let_302 (ASSUME :args (_let_67)))) (let ((_let_303 (SYMM _let_171))) (let ((_let_304 (TRANS _let_165 _let_163 (CONG _let_152 (TRANS (SYMM _let_253) (CONG _let_303 _let_254 :args _let_158)) :args _let_149) (SYMM _let_257) (CONG _let_259 (TRANS (SYMM _let_153) (SYMM _let_155) _let_156 (SYMM _let_167) _let_169) :args _let_158) _let_262))) (let ((_let_305 (TRANS _let_259 _let_267))) (let ((_let_306 (ASSUME :args (_let_60)))) (let ((_let_307 (ASSUME :args (_let_54)))) (let ((_let_308 (ASSUME :args (_let_56)))) (let ((_let_309 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_297 (MODUS_PONENS (AND_INTRO _let_307 _let_308 _let_309 _let_147 _let_150 _let_154 _let_156 _let_162 _let_164 _let_159 _let_168 _let_71 _let_299 _let_298 _let_300 _let_301 _let_302 _let_273 _let_271 _let_269 _let_261 _let_258 _let_256 _let_252 _let_267 _let_265 _let_306) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (CONG (REFL :args (tptp.xa)) _let_171 :args _let_158) (SYMM _let_309)) _let_152 :args _let_149) (SYMM _let_308) (CONG (REFL :args (tptp.xq)) (SYMM _let_307) :args _let_149)) (TRANS (CONG (TRANS (SYMM _let_306) _let_298) (SYMM _let_305) :args _let_158) (CONG (REFL :args (_let_57)) (TRANS (CONG _let_152 (TRANS _let_170 (CONG _let_304 _let_160 :args _let_158) (CONG _let_264 _let_303 :args _let_158)) :args _let_149) (SYMM _let_266) (CONG (SYMM _let_166) _let_305 :args _let_158) (CONG (TRANS _let_304 (TRANS (SYMM _let_270) (CONG _let_254 _let_303 :args _let_158))) _let_268 :args _let_158) _let_272 (CONG _let_254 _let_274 :args _let_158) _let_151 _let_299) :args _let_158) (SYMM _let_302) (CONG _let_152 (SYMM (SYMM _let_301)) :args _let_149) (SYMM (SYMM _let_300)) (CONG (SYMM _let_299) (SYMM _let_298) :args _let_158)) :args (=)) (FALSE_INTRO _let_71))) :args (_let_54 _let_56 _let_7 _let_38 _let_42 _let_41 _let_34 _let_27 _let_29 _let_39 _let_37 _let_4 _let_62 _let_58 _let_66 _let_65 _let_67 _let_49 _let_55 _let_30 _let_50 _let_45 _let_51 _let_31 _let_47 _let_52 _let_60)))) :args (_let_7 _let_4 _let_27 _let_29 _let_30 _let_31 _let_34 _let_37 _let_42 _let_62 _let_38 _let_39 _let_41 _let_45 _let_47 _let_49 _let_50 _let_51 _let_52 _let_54 _let_55 _let_56 _let_58 _let_60 _let_66 _let_65 _let_67 _let_68)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_296))) (TRUE_INTRO (SYMM (SYMM _let_297))))) :args (_let_68 _let_287)) :args ((not (and _let_7 _let_4 _let_27 _let_29 _let_30 _let_31 _let_34 _let_37 _let_42 _let_62 _let_38 _let_39 _let_41 _let_45 _let_47 _let_49 _let_50 _let_51 _let_52 _let_54 _let_55 _let_56 _let_58 _let_60 _let_66 _let_65 _let_67 _let_68)) SB_LITERAL))) (CONG (REFL :args (_let_295)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 (REFL :args (_let_212)) _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 (REFL :args (_let_294)) _let_233 (REFL :args (_let_293)) (REFL :args (_let_292)) (REFL :args (_let_291)) (REFL :args (_let_290)) (REFL :args (_let_289)) (REFL :args (_let_288)) (REFL :args _let_296) :args _let_232)) :args ((or _let_3 _let_295 _let_144 _let_143 _let_231 _let_230 _let_142 _let_141 _let_212 _let_140 _let_139 _let_138 _let_137 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_294 _let_223 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_285 1)) :args ((or _let_68 (not _let_285)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_207 _let_99 _let_133 _let_285 (not _let_286)))) _let_209 _let_109 _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.xa _let_36 _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_103)) _let_102 :args (_let_286 false _let_101)) :args (_let_285 false _let_12 false _let_98 false _let_132 false _let_286)) :args (_let_68 false _let_285)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_283 0)) :args ((or _let_67 (not _let_283)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_284)) :args ((or _let_207 _let_99 _let_214 _let_283 (not _let_284)))) _let_209 _let_109 _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 tptp.xa SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_103)) _let_102 :args (_let_284 false _let_101)) :args (_let_283 false _let_12 false _let_98 false _let_213 false _let_284)) :args (_let_67 false _let_283)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_281 0)) :args ((or _let_66 (not _let_281)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_282)) :args ((or _let_207 _let_99 _let_214 _let_281 (not _let_282)))) _let_209 _let_109 _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.xa QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_103)) _let_102 :args (_let_282 false _let_101)) :args (_let_281 false _let_12 false _let_98 false _let_213 false _let_282)) :args (_let_66 false _let_281)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_207 _let_214 _let_65 (not _let_279)))) _let_209 _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.xa SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_124)) _let_123 :args (_let_279 false _let_122)) :args (_let_65 false _let_12 false _let_213 false _let_279)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_215 1)) (CONG _let_278 (MACRO_SR_PRED_INTRO :args ((= (not _let_212) _let_62))) :args _let_232)) :args ((or _let_62 _let_215))) _let_277 :args (_let_62 true _let_215)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_206 1)) :args ((or _let_60 _let_211))) _let_210 :args (_let_60 false _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_206 0)) :args ((or _let_58 _let_211))) _let_210 :args (_let_58 false _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_202 _let_191 _let_99 _let_56 (not _let_203)))) (AND_ELIM _let_89 :args (2)) _let_194 _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (tptp.xq tptp.xn _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_204))) _let_205 :args (_let_203 false _let_204)) :args (_let_56 false _let_10 false _let_8 false _let_98 false _let_203)) _let_201 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_190 1)) :args ((or _let_54 (not _let_190)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_192)) :args ((or _let_191 _let_190 (not _let_192)))) _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_192 false _let_75)) :args (_let_190 false _let_8 false _let_192)) :args (_let_54 false _let_190)) _let_189 _let_186 _let_183 _let_182 _let_176 _let_175 _let_130 _let_125 _let_120 _let_119 _let_113 _let_110 _let_94 _let_93 _let_82 _let_81 _let_71 (AND_ELIM _let_70 :args _let_69) :args (false false _let_68 false _let_67 false _let_66 false _let_65 false _let_62 false _let_60 false _let_58 false _let_56 false _let_55 false _let_54 false _let_52 false _let_51 false _let_50 false _let_49 false _let_47 false _let_45 false _let_42 false _let_41 false _let_39 false _let_38 false _let_37 false _let_34 false _let_31 false _let_30 false _let_29 false _let_27 true _let_3 false _let_7)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_23 _let_22 _let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) _let_20 _let_19 _let_18 _let_17 _let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_15 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) _let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) _let_13 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) _let_9 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 24.17/24.37 )
% 24.17/24.37 % SZS output end Proof for NUM426+1
% 24.17/24.37 % cvc5---1.0.5 exiting
% 24.17/24.37 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------