%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 0.21s 0.59s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ031+3 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n019.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 22:03:13 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.59  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.BopHyFF4k1/cvc5---1.0.5_19620.p...
% 0.21/0.59  ------- get file name : TPTP file name is PUZ031+3
% 0.21/0.59  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19620.smt2...
% 0.21/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.59  % SZS status Theorem for PUZ031+3
% 0.21/0.59  % SZS output start Proof for PUZ031+3
% 0.21/0.59  (
% 0.21/0.59  (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (and (tptp.animal X) (tptp.animal Y) (tptp.grain Z) (tptp.eats Y Z) (tptp.eats X Y)))))) (let ((_let_2 (forall ((X $$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 $$unsorted)) (=> (and (tptp.wolf X) (tptp.fox Y)) (not (tptp.eats X Y)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.fox X) (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird X) (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_8 (forall ((Y $$unsorted) (X $$unsorted)) (=> (and (tptp.bird Y) (tptp.snail X)) (tptp.much_smaller X Y))))) (let ((_let_9 (forall ((X $$unsorted)) (=> (tptp.animal X) (or (forall ((Y $$unsorted)) (=> (tptp.plant Y) (tptp.eats X Y))) (forall ((Y1 $$unsorted)) (=> (tptp.animal Y1) (=> (and (tptp.much_smaller Y1 X) (exists ((Z $$unsorted)) (and (tptp.plant Z) (tptp.eats Y1 Z)))) (tptp.eats X Y1))))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (tptp.grain A) (tptp.plant A))))) (let ((_let_11 (exists ((A $$unsorted)) (tptp.grain A)))) (let ((_let_12 (forall ((A $$unsorted)) (=> (tptp.snail A) (tptp.animal A))))) (let ((_let_13 (exists ((A $$unsorted)) (tptp.snail A)))) (let ((_let_14 (forall ((A $$unsorted)) (=> (tptp.bird A) (tptp.animal A))))) (let ((_let_15 (exists ((A $$unsorted)) (tptp.bird A)))) (let ((_let_16 (forall ((A $$unsorted)) (=> (tptp.fox A) (tptp.animal A))))) (let ((_let_17 (exists ((A $$unsorted)) (tptp.fox A)))) (let ((_let_18 (forall ((A $$unsorted)) (=> (tptp.wolf A) (tptp.animal A))))) (let ((_let_19 (exists ((A $$unsorted)) (tptp.wolf A)))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.wolf X)) (not (tptp.grain Y)) (not (tptp.eats X Y)))))) (let ((_let_21 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.grain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.wolf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_33 _let_21 _let_38 _let_36 _let_34 _let_33 _let_31))) (let ((_let_42 (forall ((X $$unsorted) (BOUND_VARIABLE_922 $$unsorted) (BOUND_VARIABLE_920 $$unsorted) (BOUND_VARIABLE_914 $$unsorted)) (or (not (tptp.animal X)) (not (tptp.plant BOUND_VARIABLE_914)) (tptp.eats X BOUND_VARIABLE_914) (not (tptp.animal BOUND_VARIABLE_920)) (not (tptp.much_smaller BOUND_VARIABLE_920 X)) (tptp.eats X BOUND_VARIABLE_920) (not (tptp.plant BOUND_VARIABLE_922)) (not (tptp.eats BOUND_VARIABLE_920 BOUND_VARIABLE_922)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((not (= (tptp.eats BOUND_VARIABLE_920 BOUND_VARIABLE_922) false)) (not (= (tptp.eats X BOUND_VARIABLE_914) true))))) (let ((_let_46 (tptp.fox SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_26 _let_35))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.fox X)) (not (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (forall ((A $$unsorted)) (not (tptp.fox A))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (or))) (let ((_let_54 (not _let_51))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_52) :args (_let_54)) (REWRITE :args ((=> _let_54 (not _let_47)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_51))) (REFL :args (_let_46)) :args _let_53)) _let_52 :args (_let_46 true _let_51)))) (let ((_let_56 (forall ((A $$unsorted)) (not (tptp.wolf A))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_57) :args (_let_58)) (REWRITE :args ((=> _let_58 (not _let_26)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_25)) :args _let_53)) _let_57 :args (_let_25 true _let_56)))) (let ((_let_60 (not _let_34))) (let ((_let_61 (or _let_26 _let_47 _let_60))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.wolf X)) (not (tptp.fox Y)) (not (tptp.eats X Y)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_69 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_38 _let_33 _let_30 _let_72 _let_70 _let_68 _let_67 _let_65))) (let ((_let_74 (not _let_68))) (let ((_let_75 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_38 _let_72 _let_24 _let_76 _let_74))) (let ((_let_78 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.animal X)) (not (tptp.animal Y)) (not (tptp.grain Z)) (not (tptp.eats Y Z)) (not (tptp.eats X Y)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_83 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_72 _let_33 _let_75 _let_86 _let_84 _let_82 _let_67 _let_81))) (let ((_let_88 (tptp.snail SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.bird SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_83))) (let ((_let_93 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.bird Y)) (not (tptp.snail X)) (tptp.much_smaller X Y))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (forall ((A $$unsorted)) (not (tptp.snail A))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (not _let_95))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_96) :args (_let_97)) (REWRITE :args ((=> _let_97 (not _let_89)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_95))) (REFL :args (_let_88)) :args _let_53)) _let_96 :args (_let_88 true _let_95)))) (let ((_let_99 (forall ((A $$unsorted)) (not (tptp.bird A))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (not _let_99))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_100) :args (_let_101)) (REWRITE :args ((=> _let_101 (not _let_91)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_99))) (REFL :args (_let_90)) :args _let_53)) _let_100 :args (_let_90 true _let_99)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_89 _let_83 (not _let_92)))) _let_102 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.snail X) false)) (not (= (tptp.bird Y) false))))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_83 false _let_90 false _let_88 false _let_92)))) (let ((_let_104 (not _let_82))) (let ((_let_105 (or _let_91 _let_89 _let_104))) (let ((_let_106 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.snail Y)) (not (tptp.eats X Y)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_91 _let_89 _let_104 (not _let_105)))) _let_102 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.bird X) false)) (not (= (tptp.snail Y) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_104 false _let_90 false _let_88 false _let_105)))) (let ((_let_109 (or _let_67 _let_81))) (let ((_let_110 (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Y)))))) (let ((_let_111 (not _let_109))) (let ((_let_112 (not _let_110))) (let ((_let_113 (or _let_89 _let_112))) (let ((_let_114 (forall ((X $$unsorted)) (or (not (tptp.snail X)) (not (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats X Y))))))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_112))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_116)) :args _let_116)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_110))) (REFL :args (_let_111)) :args _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_89 _let_112 (not _let_113)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.snail X) false))))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_112 false _let_88 false _let_113)) :args (_let_111 true _let_110)))) (let ((_let_118 (REFL :args (_let_109)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 1)) (CONG _let_118 (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_53)) :args ((or _let_80 _let_109))) _let_117 :args (_let_80 true _let_109)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 0)) (CONG _let_118 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_53)) :args ((or _let_66 _let_109))) _let_117 :args (_let_66 true _let_109)))) (let ((_let_121 (or _let_24 _let_32))) (let ((_let_122 (forall ((A $$unsorted)) (or (not (tptp.grain A)) (tptp.plant A))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (forall ((A $$unsorted)) (not (tptp.grain A))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (not _let_124))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_125) :args (_let_126)) (REWRITE :args ((=> _let_126 (not _let_24)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_124))) (REFL :args (_let_23)) :args _let_53)) _let_125 :args (_let_23 true _let_124)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_24 _let_32 (not _let_121)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grain A) false))))) :args (_let_122))) _let_123 :args (_let_121 false _let_122)) :args (_let_32 false _let_23 false _let_121)))) (let ((_let_129 (or _let_89 _let_85))) (let ((_let_130 (forall ((A $$unsorted)) (or (not (tptp.snail A)) (tptp.animal A))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_89 _let_85 (not _let_129)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.snail A) false))))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_85 false _let_88 false _let_129)))) (let ((_let_133 (or _let_91 _let_71))) (let ((_let_134 (forall ((A $$unsorted)) (or (not (tptp.bird A)) (tptp.animal A))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_91 _let_71 (not _let_133)))) _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bird A) false))))) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_71 false _let_90 false _let_133)))) (let ((_let_137 (or _let_47 _let_37))) (let ((_let_138 (forall ((A $$unsorted)) (or (not (tptp.fox A)) (tptp.animal A))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_47 _let_37 (not _let_137)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fox A) false))))) :args (_let_138))) _let_139 :args (_let_137 false _let_138)) :args (_let_37 false _let_46 false _let_137)))) (let ((_let_141 (or _let_91 _let_47 _let_69))) (let ((_let_142 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (or _let_72 _let_67 _let_64 _let_86 _let_84 _let_82 _let_67 _let_81))) (let ((_let_145 (or _let_26 _let_39))) (let ((_let_146 (forall ((A $$unsorted)) (or (not (tptp.wolf A)) (tptp.animal A))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.eats X Y) false))))) :args (_let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_24 _let_22 _let_29))) _let_59 _let_127 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_41))) :args ((or _let_40 _let_38 _let_33 _let_21 _let_31 _let_34 _let_36 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_26 _let_39 (not _let_145)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wolf A) false))))) :args (_let_146))) _let_147 :args (_let_145 false _let_146)) :args (_let_39 false _let_25 false _let_145)) _let_140 _let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_38 _let_72 _let_33 _let_67 _let_30 _let_65 _let_70 _let_68 (not _let_73)))) _let_140 _let_136 _let_128 _let_120 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_144))) :args ((or _let_72 _let_86 _let_67 _let_81 _let_64 _let_82 _let_84 (not _let_144)))) _let_136 _let_132 _let_120 _let_119 _let_108 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_144 false _let_42)) :args (_let_64 false _let_71 false _let_85 false _let_66 false _let_80 true _let_82 false _let_83 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_47 _let_91 _let_69 (not _let_141)))) _let_55 _let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.bird X) false)) (not (= (tptp.fox Y) false))))) :args (_let_142))) _let_143 :args (_let_141 false _let_142)) :args (_let_69 false _let_46 false _let_90 false _let_141)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_24 _let_38 _let_72 _let_76 _let_74 (not _let_77)))) _let_127 _let_140 _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_72 _let_86 _let_33 _let_67 _let_81 _let_75 _let_82 _let_84 (not _let_87)))) _let_136 _let_132 _let_128 _let_120 _let_119 _let_108 _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_87 false _let_42)) :args (_let_75 false _let_71 false _let_85 false _let_32 false _let_66 false _let_80 true _let_82 false _let_83 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.animal X) false)) (not (= (tptp.eats Y Z) false))))) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_74 false _let_23 false _let_37 false _let_71 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_73 false _let_42)) :args (_let_30 false _let_37 false _let_71 false _let_32 false _let_66 false _let_64 false _let_69 true _let_68 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_26 _let_47 _let_60 (not _let_61)))) _let_59 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.wolf X) false)) (not (= (tptp.fox Y) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_60 false _let_25 false _let_46 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_26 _let_47 _let_35 (not _let_48)))) _let_59 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.wolf Y) false)) (not (= (tptp.fox X) false))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_35 false _let_25 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_41 false _let_42)) :args (_let_21 false _let_39 false _let_37 false _let_32 false _let_30 true _let_34 false _let_35 false _let_41)) :args (_let_29 false _let_25 false _let_23 false _let_21)) _let_28 :args (false true _let_27 false _let_20)) :args ((exists ((A $$unsorted)) (tptp.edible A)) (exists ((A $$unsorted)) (tptp.animal A)) (forall ((A $$unsorted)) (=> (tptp.animal A) (tptp.edible A))) _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (exists ((A $$unsorted)) (tptp.caterpillar A)) (forall ((A $$unsorted)) (=> (tptp.caterpillar A) (tptp.animal A))) _let_13 _let_12 (exists ((A $$unsorted)) (tptp.plant A)) (forall ((A $$unsorted)) (=> (tptp.plant A) (tptp.edible A))) _let_11 _let_10 _let_9 _let_8 (forall ((Y $$unsorted) (X $$unsorted)) (=> (and (tptp.bird Y) (tptp.caterpillar X)) (tptp.much_smaller X Y))) _let_7 _let_6 _let_5 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.60  )
% 0.21/0.60  % SZS output end Proof for PUZ031+3
% 0.21/0.60  % cvc5---1.0.5 exiting
% 0.21/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------