%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 13:13:00 EDT 2023

% Result   : Theorem 0.17s 0.53s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ031+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 22:07:17 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.M6JU35g4jB/cvc5---1.0.5_24119.p...
% 0.17/0.53  ------- get file name : TPTP file name is PUZ031+2
% 0.17/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24119.smt2...
% 0.17/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.53  % SZS status Theorem for PUZ031+2
% 0.17/0.53  % SZS output start Proof for PUZ031+2
% 0.17/0.53  (
% 0.17/0.53  (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (and (tptp.animal X) (tptp.animal Y) (exists ((Z $$unsorted)) (and (tptp.grain Z) (tptp.eats Y Z) (tptp.eats X Y)))))))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.snail X) (exists ((Y $$unsorted)) (and (tptp.plant Y) (tptp.eats X Y))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird X) (tptp.snail Y)) (not (tptp.eats X Y)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.wolf X) (tptp.grain Y)) (not (tptp.eats X Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.fox X) (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird X) (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_7 (forall ((Y $$unsorted) (X $$unsorted)) (=> (and (tptp.bird Y) (tptp.snail X)) (tptp.much_smaller X Y))))) (let ((_let_8 (forall ((X $$unsorted)) (=> (tptp.animal X) (or (forall ((Y $$unsorted)) (=> (tptp.plant Y) (tptp.eats X Y))) (forall ((Y1 $$unsorted)) (=> (and (tptp.animal Y1) (tptp.much_smaller Y1 X) (exists ((Z $$unsorted)) (and (tptp.plant Z) (tptp.eats Y1 Z)))) (tptp.eats X Y1)))))))) (let ((_let_9 (forall ((X $$unsorted)) (=> (tptp.grain X) (tptp.plant X))))) (let ((_let_10 (exists ((A $$unsorted)) (tptp.grain A)))) (let ((_let_11 (forall ((X $$unsorted)) (=> (tptp.snail X) (tptp.animal X))))) (let ((_let_12 (forall ((X $$unsorted)) (=> (tptp.bird X) (tptp.animal X))))) (let ((_let_13 (forall ((X $$unsorted)) (=> (tptp.fox X) (tptp.animal X))))) (let ((_let_14 (forall ((X $$unsorted)) (=> (tptp.wolf X) (tptp.animal X))))) (let ((_let_15 (exists ((A $$unsorted)) (tptp.snail A)))) (let ((_let_16 (exists ((A $$unsorted)) (tptp.bird A)))) (let ((_let_17 (exists ((A $$unsorted)) (tptp.fox A)))) (let ((_let_18 (exists ((A $$unsorted)) (tptp.wolf A)))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.wolf X)) (not (tptp.grain Y)) (not (tptp.eats X Y)))))) (let ((_let_20 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.grain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.wolf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_32 _let_20 _let_37 _let_35 _let_33 _let_32 _let_30))) (let ((_let_41 (forall ((X $$unsorted) (BOUND_VARIABLE_877 $$unsorted) (BOUND_VARIABLE_875 $$unsorted) (BOUND_VARIABLE_869 $$unsorted)) (or (not (tptp.animal X)) (not (tptp.plant BOUND_VARIABLE_869)) (tptp.eats X BOUND_VARIABLE_869) (not (tptp.animal BOUND_VARIABLE_875)) (not (tptp.much_smaller BOUND_VARIABLE_875 X)) (tptp.eats X BOUND_VARIABLE_875) (not (tptp.plant BOUND_VARIABLE_877)) (not (tptp.eats BOUND_VARIABLE_875 BOUND_VARIABLE_877)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_37 _let_32 _let_29 _let_52 _let_50 _let_48 _let_47 _let_45))) (let ((_let_54 ((not (= (tptp.eats BOUND_VARIABLE_875 BOUND_VARIABLE_877) false)) (not (= (tptp.eats X BOUND_VARIABLE_869) true))))) (let ((_let_55 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_56 (not _let_55))) (let ((_let_57 (not _let_48))) (let ((_let_58 (or _let_37 _let_52 _let_57 _let_23 _let_56))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_1000 $$unsorted)) (or (not (tptp.animal X)) (not (tptp.animal Y)) (not (tptp.eats X Y)) (not (tptp.grain BOUND_VARIABLE_1000)) (not (tptp.eats Y BOUND_VARIABLE_1000)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((not (= (tptp.animal X) false)) (not (= (tptp.animal Y) false)) (not (= (tptp.grain BOUND_VARIABLE_1000) false))))) (let ((_let_63 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_66 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_52 _let_32 _let_55 _let_69 _let_67 _let_65 _let_47 _let_64))) (let ((_let_71 (tptp.snail SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.bird SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_66))) (let ((_let_76 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.bird Y)) (not (tptp.snail X)) (tptp.much_smaller X Y))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (forall ((A $$unsorted)) (not (tptp.snail A))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (or))) (let ((_let_81 (not _let_78))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_79) :args (_let_81)) (REWRITE :args ((=> _let_81 (not _let_72)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_78))) (REFL :args (_let_71)) :args _let_80)) _let_79 :args (_let_71 true _let_78)))) (let ((_let_83 (forall ((A $$unsorted)) (not (tptp.bird A))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (not _let_83))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_84) :args (_let_85)) (REWRITE :args ((=> _let_85 (not _let_74)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_83))) (REFL :args (_let_73)) :args _let_80)) _let_84 :args (_let_73 true _let_83)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_72 _let_66 (not _let_75)))) _let_86 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.snail X) false)) (not (= (tptp.bird Y) false))))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_66 false _let_73 false _let_71 false _let_75)))) (let ((_let_88 (not _let_65))) (let ((_let_89 (or _let_74 _let_72 _let_88))) (let ((_let_90 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.snail Y)) (not (tptp.eats X Y)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_74 _let_72 _let_88 (not _let_89)))) _let_86 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.bird X) false)) (not (= (tptp.snail Y) false))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_88 false _let_73 false _let_71 false _let_89)))) (let ((_let_93 (or _let_47 _let_64))) (let ((_let_94 (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)))))) (let ((_let_95 (not _let_93))) (let ((_let_96 (not _let_94))) (let ((_let_97 (or _let_72 _let_96))) (let ((_let_98 (forall ((X $$unsorted)) (or (not (tptp.snail X)) (not (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats X Y))))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_96))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_100)) :args _let_100)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_94))) (REFL :args (_let_95)) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_72 _let_96 (not _let_97)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.snail X) false))))) :args (_let_98))) _let_99 :args (_let_97 false _let_98)) :args (_let_96 false _let_71 false _let_97)) :args (_let_95 true _let_94)))) (let ((_let_102 (REFL :args (_let_93)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 1)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_80)) :args ((or _let_63 _let_93))) _let_101 :args (_let_63 true _let_93)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 0)) (CONG _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_80)) :args ((or _let_46 _let_93))) _let_101 :args (_let_46 true _let_93)))) (let ((_let_105 (or _let_23 _let_31))) (let ((_let_106 (forall ((X $$unsorted)) (or (not (tptp.grain X)) (tptp.plant X))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (forall ((A $$unsorted)) (not (tptp.grain A))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (not _let_108))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_109) :args (_let_110)) (REWRITE :args ((=> _let_110 (not _let_23)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_108))) (REFL :args (_let_22)) :args _let_80)) _let_109 :args (_let_22 true _let_108)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_23 _let_31 (not _let_105)))) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grain X) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_31 false _let_22 false _let_105)))) (let ((_let_113 (or _let_72 _let_68))) (let ((_let_114 (forall ((X $$unsorted)) (or (not (tptp.snail X)) (tptp.animal X))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_72 _let_68 (not _let_113)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.snail X) false))))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_68 false _let_71 false _let_113)))) (let ((_let_117 (or _let_74 _let_51))) (let ((_let_118 (forall ((X $$unsorted)) (or (not (tptp.bird X)) (tptp.animal X))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_74 _let_51 (not _let_117)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bird X) false))))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_51 false _let_73 false _let_117)))) (let ((_let_121 (tptp.fox SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_36))) (let ((_let_124 (forall ((X $$unsorted)) (or (not (tptp.fox X)) (tptp.animal X))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (forall ((A $$unsorted)) (not (tptp.fox A))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (not _let_126))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_127) :args (_let_128)) (REWRITE :args ((=> _let_128 (not _let_122)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_126))) (REFL :args (_let_121)) :args _let_80)) _let_127 :args (_let_121 true _let_126)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_36 (not _let_123)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fox X) false))))) :args (_let_124))) _let_125 :args (_let_123 false _let_124)) :args (_let_36 false _let_121 false _let_123)))) (let ((_let_131 (or _let_74 _let_122 _let_49))) (let ((_let_132 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (or _let_52 _let_47 _let_44 _let_69 _let_67 _let_65 _let_47 _let_64))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_37 _let_52 _let_32 _let_47 _let_45 _let_29 _let_50 _let_48 (not _let_53)))) _let_130 _let_120 _let_112 _let_104 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_134))) :args ((or _let_52 _let_69 _let_47 _let_64 _let_44 _let_65 _let_67 (not _let_134)))) _let_120 _let_116 _let_104 _let_103 _let_92 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_43)) _let_42 :args (_let_134 false _let_41)) :args (_let_44 false _let_51 false _let_68 false _let_46 false _let_63 true _let_65 false _let_66 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_122 _let_74 _let_49 (not _let_131)))) _let_129 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.bird X) false)) (not (= (tptp.fox Y) false))))) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_49 false _let_121 false _let_73 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_23 _let_37 _let_52 _let_57 _let_56 (not _let_58)))) _let_111 _let_130 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_52 _let_69 _let_32 _let_47 _let_64 _let_65 _let_67 _let_55 (not _let_70)))) _let_120 _let_116 _let_112 _let_104 _let_103 _let_92 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_43)) _let_42 :args (_let_70 false _let_41)) :args (_let_55 false _let_51 false _let_68 false _let_31 false _let_46 false _let_63 true _let_65 false _let_66 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_22 false _let_36 false _let_51 false _let_55 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_43)) _let_42 :args (_let_53 false _let_41)) :args (_let_29 false _let_36 false _let_51 false _let_31 false _let_46 false _let_44 false _let_49 true _let_48 false _let_53)))) (let ((_let_136 (not _let_33))) (let ((_let_137 (or _let_39 _let_37 _let_136 _let_23 _let_30))) (let ((_let_138 (or _let_25 _let_38))) (let ((_let_139 (forall ((X $$unsorted)) (or (not (tptp.wolf X)) (tptp.animal X))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (forall ((A $$unsorted)) (not (tptp.wolf A))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (not _let_141))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_142) :args (_let_143)) (REWRITE :args ((=> _let_143 (not _let_25)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_143) _let_141))) (REFL :args (_let_24)) :args _let_80)) _let_142 :args (_let_24 true _let_141)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_25 _let_38 (not _let_138)))) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wolf X) false))))) :args (_let_139))) _let_140 :args (_let_138 false _let_139)) :args (_let_38 false _let_24 false _let_138)))) (let ((_let_146 (or _let_122 _let_25 _let_34))) (let ((_let_147 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.fox X)) (not (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eats X Y) false))))) :args (_let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_21 _let_28))) _let_144 _let_111 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_40))) :args ((or _let_39 _let_37 _let_32 _let_20 _let_35 _let_33 _let_30 (not _let_40)))) _let_145 _let_130 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_25 _let_122 _let_34 (not _let_146)))) _let_144 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.much_smaller X Y) true))))) :args (_let_147))) _let_148 :args (_let_146 false _let_147)) :args (_let_34 false _let_24 false _let_121 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_23 _let_39 _let_37 _let_30 _let_136 (not _let_137)))) _let_111 _let_145 _let_130 _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_61)) _let_60 :args (_let_137 false _let_59)) :args (_let_136 false _let_22 false _let_38 false _let_36 false _let_29 false _let_137)) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.animal X) false)) (not (= (tptp.plant BOUND_VARIABLE_869) false)) (not (= (tptp.animal BOUND_VARIABLE_875) false)) (not (= (tptp.plant BOUND_VARIABLE_877) false))))) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_20 false _let_38 false _let_36 false _let_31 false _let_34 true _let_33 false _let_29 false _let_40)) :args (_let_28 false _let_24 false _let_22 false _let_20)) _let_27 :args (false true _let_26 false _let_19)) :args (_let_18 _let_17 _let_16 (exists ((A $$unsorted)) (tptp.caterpillar A)) _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted)) (=> (tptp.caterpillar X) (tptp.animal X))) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((Y $$unsorted) (X $$unsorted)) (=> (and (tptp.bird Y) (tptp.caterpillar X)) (tptp.much_smaller X Y))) _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.wolf X) (tptp.fox Y)) (not (tptp.eats X Y)))) _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird X) (tptp.caterpillar Y)) (tptp.eats X Y))) _let_3 (forall ((X $$unsorted)) (=> (tptp.caterpillar X) (exists ((Y $$unsorted)) (and (tptp.plant Y) (tptp.eats X Y))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.53  )
% 0.17/0.53  % SZS output end Proof for PUZ031+2
% 0.17/0.53  % cvc5---1.0.5 exiting
% 0.17/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------