TSTP Solution File: SYN036+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 02:00:55 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 18:23:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aa2pt7Xhph/cvc5---1.0.5_30380.p...
% 0.21/0.53 ------- get file name : TPTP file name is SYN036+2
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30380.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SYN036+2
% 0.21/0.53 % SZS output start Proof for SYN036+2
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (forall ((W1 $$unsorted)) (tptp.big_q W1)))) (let ((_let_2 (forall ((W $$unsorted)) (tptp.big_p W)))) (let ((_let_3 (not (= (= (exists ((X $$unsorted)) (forall ((Y $$unsorted)) (= (tptp.big_p X) (tptp.big_p Y)))) (= (exists ((U $$unsorted)) (tptp.big_q U)) _let_2)) (= (exists ((X1 $$unsorted)) (forall ((Y1 $$unsorted)) (= (tptp.big_q X1) (tptp.big_q Y1)))) (= (exists ((U1 $$unsorted)) (tptp.big_p U1)) _let_1)))))) (let ((_let_4 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (forall ((U1 $$unsorted)) (not (tptp.big_p U1))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= _let_1 _let_6))) (let ((_let_8 (not _let_1))) (let ((_let_9 (forall ((X1 $$unsorted)) (not (forall ((Y1 $$unsorted)) (= (tptp.big_q X1) (tptp.big_q Y1))))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (= _let_10 _let_7))) (let ((_let_12 (not _let_7))) (let ((_let_13 (forall ((U $$unsorted)) (not (tptp.big_q U))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_2 _let_14))) (let ((_let_16 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (= (tptp.big_p X) (tptp.big_p Y))))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (= _let_17 _let_15))) (let ((_let_19 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_21 (= _let_19 _let_20))) (let ((_let_22 (forall ((Y1 $$unsorted)) (= (tptp.big_q Y1) (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_23 (not _let_11))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (NOT_EQUIV_ELIM2 _let_24))) (let ((_let_26 (forall ((Y $$unsorted)) (= (tptp.big_p Y) (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_27 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_28 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (or))) (let ((_let_31 (_let_26))) (let ((_let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))))) (let ((_let_33 (_let_17))) (let ((_let_34 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33) (REWRITE :args ((=> _let_17 (not (not (forall ((Y $$unsorted)) (= (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.big_p Y)))))))))) (CONG _let_32 (REFL :args _let_31) :args _let_30)))) (let ((_let_35 (ASSUME :args _let_31))) (let ((_let_36 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM)) :args _let_31))))) (let ((_let_37 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (= _let_28 _let_37))) (let ((_let_39 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (= _let_19 _let_4))) (let ((_let_41 (not _let_37))) (let ((_let_42 (_let_2))) (let ((_let_43 ((not (= (tptp.big_p W) true))))) (let ((_let_44 (ASSUME :args _let_42))) (let ((_let_45 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)))) (let ((_let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_47 (_let_6))) (let ((_let_48 (NOT_EQUIV_ELIM1 _let_24))) (let ((_let_49 (not _let_18))) (let ((_let_50 (_let_15))) (let ((_let_51 (REFL :args _let_50))) (let ((_let_52 (_let_18))) (let ((_let_53 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args _let_52) (CONG (REFL :args (_let_49)) _let_32 _let_51 :args _let_30)) :args ((or _let_16 _let_15 _let_49))))) (let ((_let_54 (not _let_15))) (let ((_let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))))) (let ((_let_56 (REFL :args (_let_54)))) (let ((_let_57 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_50) (CONG _let_56 (REFL :args _let_42) _let_55 :args _let_30)) :args ((or _let_2 _let_13 _let_54))))) (let ((_let_58 (_let_13))) (let ((_let_59 ((not (= (tptp.big_q U) false))))) (let ((_let_60 (ASSUME :args _let_58))) (let ((_let_61 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)))) (let ((_let_62 (_let_1))) (let ((_let_63 ((not (= (tptp.big_q W1) true))))) (let ((_let_64 (ASSUME :args _let_62))) (let ((_let_65 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)))) (let ((_let_66 (_let_7))) (let ((_let_67 (REORDERING (CNF_EQUIV_NEG1 :args _let_66) :args ((or _let_1 _let_6 _let_7))))) (let ((_let_68 (REFL :args (_let_12)))) (let ((_let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))))) (let ((_let_70 (_let_11))) (let ((_let_71 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_70) (CONG (REFL :args _let_70) _let_69 _let_68 :args _let_30)) :args ((or _let_9 _let_11 _let_12))))) (let ((_let_72 (_let_9))) (let ((_let_73 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_72))))) (let ((_let_74 (not _let_22))) (let ((_let_75 (_let_74))) (let ((_let_76 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75) (REWRITE :args ((=> _let_74 (not (= _let_20 _let_19))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_22))) (REFL :args ((not _let_21))) :args _let_30)))) (let ((_let_77 (_let_21))) (let ((_let_78 (REORDERING (CNF_EQUIV_NEG1 :args _let_77) :args ((or _let_19 _let_20 _let_21))))) (let ((_let_79 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)))) (let ((_let_80 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_52) (CONG (REFL :args _let_52) _let_32 _let_56 :args _let_30)) :args ((or _let_16 _let_18 _let_54))))) (let ((_let_81 (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_2 _let_14 _let_15))))) (let ((_let_82 (not _let_39))) (let ((_let_83 (_let_14))) (let ((_let_84 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83) (REWRITE :args ((=> _let_14 (not _let_82)))))) (CONG _let_55 (REFL :args (_let_39)) :args _let_30)))) (let ((_let_85 (= _let_19 _let_39))) (let ((_let_86 (REORDERING (CNF_EQUIV_POS2 :args (_let_85)) :args ((or _let_19 _let_82 (not _let_85)))))) (let ((_let_87 (_let_22))) (let ((_let_88 ((not (= (tptp.big_q Y1) _let_19))))) (let ((_let_89 (ASSUME :args _let_87))) (let ((_let_90 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87))))) (let ((_let_91 (_let_10))) (let ((_let_92 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91) (REWRITE :args ((=> _let_10 (not (not (forall ((Y1 $$unsorted)) (= (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.big_q Y1)))))))))) (CONG _let_69 (REFL :args _let_87) :args _let_30)))) (let ((_let_93 (REORDERING (CNF_EQUIV_POS2 :args _let_70) :args ((or _let_10 _let_12 _let_23))))) (let ((_let_94 (not _let_19))) (let ((_let_95 (REORDERING (CNF_EQUIV_NEG2 :args _let_77) :args ((or _let_94 _let_21 (not _let_20)))))) (let ((_let_96 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)))) (let ((_let_97 (REFL :args _let_66))) (let ((_let_98 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args _let_70) (CONG (REFL :args (_let_23)) _let_69 _let_97 :args _let_30)) :args ((or _let_9 _let_7 _let_23))))) (let ((_let_99 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87))))) (let ((_let_100 (_let_8))) (let ((_let_101 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_1))) (REFL :args ((not _let_4))) :args _let_30)))) (let ((_let_102 (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or _let_4 _let_94 (not _let_40)))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST _let_102 _let_101 _let_99 (REORDERING (CNF_EQUIV_POS1 :args _let_66) :args ((or _let_6 _let_8 _let_12))) _let_92 _let_98 (MACRO_RESOLUTION_TRUST _let_96 _let_95 _let_76 _let_67 _let_73 _let_93 :args ((or _let_10 _let_6 _let_23 _let_94) true _let_20 true _let_21 false _let_1 true _let_22 true _let_7)) (MACRO_RESOLUTION_TRUST _let_93 _let_92 _let_67 _let_90 _let_65 _let_86 :args ((or _let_6 _let_23 _let_19 _let_82) false _let_9 false _let_7 true _let_22 true _let_1 true _let_85)) _let_84 _let_81 _let_80 _let_25 (MACRO_RESOLUTION_TRUST _let_79 _let_78 _let_76 _let_73 _let_71 _let_67 _let_65 _let_61 _let_57 _let_53 _let_48 :args ((or _let_2 _let_16 _let_6 _let_11) false _let_20 true _let_21 true _let_22 false _let_9 false _let_7 true _let_1 true _let_19 false _let_13 false _let_15 false _let_18)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_6 (not _let_41)))))) (CONG _let_46 (REFL :args (_let_37)) :args _let_30)) _let_45 (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_28 _let_41 (not _let_38)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p Y) _let_28))))) :args _let_31))) _let_34 :args ((or _let_16 _let_28) true _let_4 false _let_40 true _let_1 false _let_22 false _let_7 true _let_9 false _let_19 false _let_39 true _let_13 true _let_15 true _let_18 false _let_11 false _let_5 true _let_2 true _let_37 false _let_38 false _let_26)))) (let ((_let_104 (not _let_28))) (let ((_let_105 (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_104 _let_27 (not _let_29)))))) (let ((_let_106 (_let_5))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_106)))) (let ((_let_109 (not _let_2))) (let ((_let_110 (_let_109))) (let ((_let_111 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_2))) (REFL :args ((not _let_27))) :args _let_30)))) (let ((_let_112 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_66) (CONG _let_68 (REFL :args _let_62) _let_46 :args _let_30)) :args ((or _let_1 _let_5 _let_12))))) (let ((_let_113 (REORDERING (CNF_EQUIV_NEG1 :args _let_70) :args ((or _let_10 _let_7 _let_11))))) (let ((_let_114 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_50) (CONG _let_51 (REFL :args _let_110) _let_55 :args _let_30)) :args ((or _let_13 _let_15 _let_109))))) (let ((_let_115 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_66) (CONG _let_97 (REFL :args _let_100) _let_46 :args _let_30)) :args ((or _let_5 _let_7 _let_8))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST _let_71 _let_25 _let_73 _let_80 _let_76 _let_114 _let_95 _let_61 _let_96 _let_65 _let_115 (MACRO_RESOLUTION_TRUST _let_78 _let_79 _let_61 _let_114 _let_80 _let_25 _let_113 _let_76 _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_50) :args ((or _let_14 _let_109 _let_54))) _let_53 _let_84 _let_48 _let_86 _let_98 _let_102 _let_73 _let_99 _let_90 _let_111 _let_105 _let_36 _let_34 _let_103 :args ((or _let_16 _let_7 _let_74 _let_4) false _let_15 false _let_13 false _let_18 true _let_39 true _let_11 true _let_19 true _let_9 false _let_40 false _let_85 false _let_2 false _let_27 false _let_29 false _let_26 false _let_28)) _let_112 _let_101 _let_108 _let_111 _let_105 _let_36 _let_34 _let_103 :args ((or _let_1 _let_16) true _let_20 true _let_19 false _let_13 true _let_15 true _let_18 false _let_11 true _let_21 false _let_9 true _let_22 true _let_7 true _let_4 true _let_5 false _let_2 false _let_27 false _let_29 false _let_26 false _let_28)) _let_111 _let_108 _let_105 _let_103 _let_36 _let_34 :args (_let_16 true _let_11 true _let_9 false _let_18 false _let_22 false _let_15 false _let_21 true _let_13 false _let_20 false _let_19 false _let_7 false _let_1 false _let_2 true _let_5 false _let_27 false _let_28 false _let_29 false _let_26)))) (let ((_let_117 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_118 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_119 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_120 (= _let_119 _let_117))) (let ((_let_121 (= _let_28 _let_118))) (let ((_let_122 (= _let_28 _let_119))) (let ((_let_123 (forall ((Y $$unsorted)) (= (tptp.big_p Y) (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_124 (not _let_120))) (let ((_let_125 (not _let_123))) (let ((_let_126 (_let_16))) (let ((_let_127 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_ENUM))) (let ((_let_128 (_let_125))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128) (REWRITE :args ((=> _let_125 (not (= _let_117 _let_119))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_123))) (REFL :args (_let_124)) :args _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args _let_127) :args _let_126))) _let_116 :args (_let_125 false _let_16)) :args (_let_124 true _let_123)))) (let ((_let_130 (_let_120))) (let ((_let_131 (not _let_26))) (let ((_let_132 (_let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_127) :args _let_31))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_132)) :args _let_132) (REWRITE :args ((=> _let_131 (not (= _let_118 _let_28))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_26))) (REFL :args ((not _let_121))) :args _let_30)) (REORDERING (CNF_EQUIV_POS1 :args (_let_122)) :args ((or _let_104 _let_119 (not _let_122)))) (REORDERING (CNF_EQUIV_NEG2 :args (_let_121)) :args ((or _let_104 _let_121 (not _let_118)))) (REORDERING (CNF_EQUIV_NEG2 :args _let_130) :args ((or (not _let_119) _let_120 (not _let_117)))) _let_129 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_45 :args (_let_109 false _let_26 true _let_122 false _let_121 true _let_119 true _let_120 false _let_118 false _let_117 false _let_28)))) (let ((_let_134 ((not (= (tptp.big_p U1) false))))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_106)) (REORDERING (CNF_EQUIV_NEG1 :args _let_130) :args ((or _let_119 _let_117 _let_120))) _let_129 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_106)) :args (_let_6 false _let_119 true _let_120 true _let_117)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST _let_73 _let_98 _let_76 _let_112 _let_135 _let_78 _let_65 _let_79 _let_61 _let_57 _let_133 (REORDERING (CNF_EQUIV_NEG1 :args _let_52) :args ((or _let_17 _let_15 _let_18))) _let_116 _let_25 :args (_let_23 false _let_9 false _let_22 true _let_7 true _let_5 false _let_21 true _let_1 true _let_20 true _let_19 false _let_13 true _let_2 false _let_15 false _let_16 true _let_18)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST _let_95 _let_96 _let_65 _let_112 _let_135 _let_76 _let_113 _let_136 _let_73 :args (_let_10 false _let_20 false _let_19 false _let_1 true _let_5 true _let_21 false _let_7 true _let_11 true _let_22)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST _let_92 _let_137 :args (_let_22 true _let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_101 (MACRO_RESOLUTION_TRUST _let_102 (MACRO_RESOLUTION_TRUST _let_86 (MACRO_RESOLUTION_TRUST _let_84 (MACRO_RESOLUTION_TRUST _let_81 _let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_52) :args ((or _let_17 _let_54 _let_49))) _let_116 (MACRO_RESOLUTION_TRUST _let_48 _let_136 :args (_let_18 true _let_11)) :args (_let_54 false _let_16 false _let_18)) :args (_let_14 true _let_2 true _let_15)) :args (_let_39 true _let_13)) (MACRO_RESOLUTION_TRUST _let_90 _let_138 :args (_let_85 false _let_22)) :args (_let_19 false _let_39 false _let_85)) (MACRO_RESOLUTION_TRUST _let_99 _let_138 :args (_let_40 false _let_22)) :args (_let_4 false _let_19 false _let_40)) (MACRO_RESOLUTION_TRUST _let_115 _let_135 (MACRO_RESOLUTION_TRUST _let_71 _let_137 _let_136 :args (_let_12 true _let_9 true _let_11)) :args (_let_8 true _let_5 true _let_7)) :args (false false _let_4 true _let_1)) :args (_let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SYN036+2
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------