%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ031+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 0.71s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ031+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 22:20:10 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.71  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8OEDRCULrf/cvc5---1.0.5_4058.p...
% 0.21/0.71  ------- get file name : TPTP file name is PUZ031+1
% 0.21/0.71  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4058.smt2...
% 0.21/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.71  % SZS status Theorem for PUZ031+1
% 0.21/0.71  % SZS output start Proof for PUZ031+1
% 0.21/0.71  (
% 0.21/0.71  (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)) (=> (or (tptp.caterpillar X) (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 $$unsorted)) (=> (and (tptp.wolf X) (or (tptp.fox Y) (tptp.grain Y))) (not (tptp.eats X Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.fox X) (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird X) (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.bird Y) (or (tptp.snail X) (tptp.caterpillar X))) (tptp.much_smaller X Y))))) (let ((_let_8 (forall ((X $$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 $$unsorted)) (and (tptp.plant Z) (tptp.eats Y1 Z)))) (tptp.eats X Y1)))))))) (let ((_let_9 (forall ((X1 $$unsorted)) (=> (tptp.grain X1) (tptp.plant X1))))) (let ((_let_10 (exists ((X $$unsorted)) (tptp.grain X)))) (let ((_let_11 (exists ((X1 $$unsorted)) (tptp.snail X1)))) (let ((_let_12 (forall ((X $$unsorted)) (=> (tptp.snail X) (tptp.animal X))))) (let ((_let_13 (exists ((X1 $$unsorted)) (tptp.caterpillar X1)))) (let ((_let_14 (exists ((X1 $$unsorted)) (tptp.bird X1)))) (let ((_let_15 (forall ((X $$unsorted)) (=> (tptp.bird X) (tptp.animal X))))) (let ((_let_16 (exists ((X1 $$unsorted)) (tptp.fox X1)))) (let ((_let_17 (forall ((X $$unsorted)) (=> (tptp.fox X) (tptp.animal X))))) (let ((_let_18 (exists ((X1 $$unsorted)) (tptp.wolf X1)))) (let ((_let_19 (forall ((X $$unsorted)) (=> (tptp.wolf X) (tptp.animal X))))) (let ((_let_20 (forall ((X $$unsorted) (BOUND_VARIABLE_853 $$unsorted) (BOUND_VARIABLE_851 $$unsorted) (BOUND_VARIABLE_845 $$unsorted)) (or (not (tptp.animal X)) (not (tptp.plant BOUND_VARIABLE_845)) (tptp.eats X BOUND_VARIABLE_845) (not (tptp.animal BOUND_VARIABLE_851)) (not (tptp.much_smaller BOUND_VARIABLE_851 X)) (tptp.eats X BOUND_VARIABLE_851) (not (tptp.plant BOUND_VARIABLE_853)) (not (tptp.eats BOUND_VARIABLE_851 BOUND_VARIABLE_853)))))) (let ((_let_21 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_31 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30 _let_29 _let_27 _let_25 _let_24 _let_22))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (not _let_30))) (let ((_let_39 (tptp.grain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_34 _let_42 _let_40 _let_38))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_957 $$unsorted)) (or (not (tptp.animal X)) (not (tptp.animal Y)) (not (tptp.eats X Y)) (not (tptp.grain BOUND_VARIABLE_957)) (not (tptp.eats Y BOUND_VARIABLE_957)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_53 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_44 _let_54 _let_52 _let_34 _let_51 _let_41 _let_24 _let_49))) (let ((_let_56 (_let_20))) (let ((_let_57 (not (= (tptp.eats BOUND_VARIABLE_851 BOUND_VARIABLE_853) false)))) (let ((_let_58 (_let_57 (not (= (tptp.eats X BOUND_VARIABLE_845) true))))) (let ((_let_59 (tptp.fox SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.bird SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60 _let_50))) (let ((_let_64 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.fox Y)) (tptp.much_smaller X Y))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (forall ((X1 $$unsorted)) (not (tptp.bird X1))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or))) (let ((_let_69 (not _let_66))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_67) :args (_let_69)) (REWRITE :args ((=> _let_69 (not _let_62)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_66))) (REFL :args (_let_61)) :args _let_68)) _let_67 :args (_let_61 true _let_66)))) (let ((_let_71 (forall ((X1 $$unsorted)) (not (tptp.fox X1))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (not _let_71))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_72) :args (_let_73)) (REWRITE :args ((=> _let_73 (not _let_60)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_71))) (REFL :args (_let_59)) :args _let_68)) _let_72 :args (_let_59 true _let_71)))) (let ((_let_75 (or _let_34 _let_24 _let_48 _let_29 _let_27 _let_25 _let_24 _let_22))) (let ((_let_76 (not _let_25))) (let ((_let_77 (tptp.snail SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_62 _let_78 _let_76))) (let ((_let_80 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird X)) (not (tptp.snail Y)) (not (tptp.eats X Y)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((X1 $$unsorted)) (not (tptp.snail X1))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (not _let_82))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_83) :args (_let_84)) (REWRITE :args ((=> _let_84 (not _let_78)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_82))) (REFL :args (_let_77)) :args _let_68)) _let_83 :args (_let_77 true _let_82)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_62 _let_78 _let_76 (not _let_79)))) _let_70 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :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_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_76 false _let_61 false _let_77 false _let_79)))) (let ((_let_87 (not (tptp.caterpillar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_88 (and _let_78 _let_87))) (let ((_let_89 (or _let_62 _let_88 _let_26))) (let ((_let_90 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.bird Y)) (and (not (tptp.snail X)) (not (tptp.caterpillar X))) (tptp.much_smaller X Y))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_88))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_62 _let_26 _let_88 (not _let_89)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_88 0)) :args ((or _let_78 _let_92))) _let_85 :args (_let_92 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.snail X) (not (= (tptp.bird Y) false))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_26 false _let_61 true _let_88 false _let_89)))) (let ((_let_94 (or _let_24 _let_22))) (let ((_let_95 (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)))))) (let ((_let_96 (not _let_94))) (let ((_let_97 (not _let_95))) (let ((_let_98 (and _let_87 _let_78))) (let ((_let_99 (or _let_98 _let_97))) (let ((_let_100 (forall ((X $$unsorted)) (or (and (not (tptp.caterpillar X)) (not (tptp.snail X))) (not (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats X Y))))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (not _let_98))) (let ((_let_104 (_let_97))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_104)) :args _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_95))) (REFL :args (_let_96)) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_97 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_98 1)) :args ((or _let_78 _let_103))) _let_85 :args (_let_103 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.snail X)))) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_97 true _let_98 false _let_99)) :args (_let_96 true _let_95)))) (let ((_let_106 (REFL :args (_let_94)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 1)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_68)) :args ((or _let_21 _let_94))) _let_105 :args (_let_21 true _let_94)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 0)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_68)) :args ((or _let_23 _let_94))) _let_105 :args (_let_23 true _let_94)))) (let ((_let_109 (or _let_78 _let_28))) (let ((_let_110 (forall ((X $$unsorted)) (or (not (tptp.snail X)) (tptp.animal X))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_78 _let_28 (not _let_109)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.snail X) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_28 false _let_77 false _let_109)))) (let ((_let_113 (or _let_62 _let_33))) (let ((_let_114 (forall ((X $$unsorted)) (or (not (tptp.bird X)) (tptp.animal X))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_62 _let_33 (not _let_113)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bird X) false))))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_33 false _let_61 false _let_113)))) (let ((_let_117 (not _let_52))) (let ((_let_118 (or _let_54 _let_117))) (let ((_let_119 (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)))))) (let ((_let_120 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.plant SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121))) (let ((_let_125 (tptp.animal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_126 (tptp.much_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_127 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_128 (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_129 (not _let_126))) (let ((_let_130 (not _let_125))) (let ((_let_131 (or _let_130 _let_32 _let_128 _let_44 _let_129 _let_127 _let_123 _let_121))) (let ((_let_132 (REFL :args (_let_124)))) (let ((_let_133 (tptp.wolf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_125))) (let ((_let_136 (forall ((X $$unsorted)) (or (not (tptp.wolf X)) (tptp.animal X))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (forall ((X1 $$unsorted)) (not (tptp.wolf X1))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (not _let_138))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_139) :args (_let_140)) (REWRITE :args ((=> _let_140 (not _let_134)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_140) _let_138))) (REFL :args (_let_133)) :args _let_68)) _let_139 :args (_let_133 true _let_138)))) (let ((_let_142 (or _let_60 _let_43))) (let ((_let_143 (forall ((X $$unsorted)) (or (not (tptp.fox X)) (tptp.animal X))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_60 _let_43 (not _let_142)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fox X) false))))) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_43 false _let_59 false _let_142)))) (let ((_let_146 (or _let_40 _let_31))) (let ((_let_147 (forall ((X1 $$unsorted)) (or (not (tptp.grain X1)) (tptp.plant X1))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (forall ((X $$unsorted)) (not (tptp.grain X))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (not _let_149))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_150) :args (_let_151)) (REWRITE :args ((=> _let_151 (not _let_40)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_149))) (REFL :args (_let_39)) :args _let_68)) _let_150 :args (_let_39 true _let_149)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_40 _let_31 (not _let_146)))) _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grain X1) false))))) :args (_let_147))) _let_148 :args (_let_146 false _let_147)) :args (_let_31 false _let_39 false _let_146)))) (let ((_let_154 (or _let_60 _let_134 _let_126))) (let ((_let_155 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.fox X)) (not (tptp.wolf Y)) (tptp.much_smaller X Y))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (not _let_127))) (let ((_let_158 (and _let_60 (not (tptp.grain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_159 (or _let_134 _let_158 _let_157))) (let ((_let_160 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.wolf X)) (and (not (tptp.fox Y)) (not (tptp.grain Y))) (not (tptp.eats X Y)))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((not (= (tptp.eats X Y) false))))) (let ((_let_164 (not _let_158))) (let ((_let_165 (not _let_128))) (let ((_let_166 (and (not (tptp.fox SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_40))) (let ((_let_167 (or _let_134 _let_166 _let_165))) (let ((_let_168 (not _let_166))) (let ((_let_169 (not _let_119))) (let ((_let_170 (_let_169))) (let ((_let_171 (_let_119))) (let ((_let_172 (or _let_54 (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_173 (forall ((Y $$unsorted)) (or (not (tptp.plant Y)) (not (tptp.eats SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)))))) (let ((_let_174 (not _let_172))) (let ((_let_175 (not _let_173))) (let ((_let_176 (tptp.caterpillar SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_177 (not _let_176))) (let ((_let_178 (and _let_177 (not (tptp.snail SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_179 (or _let_178 _let_175))) (let ((_let_180 (not _let_178))) (let ((_let_181 (forall ((X1 $$unsorted)) (not (tptp.caterpillar X1))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (not _let_181))) (let ((_let_184 (_let_175))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_172 0)) (CONG (REFL :args (_let_172)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_68)) :args ((or _let_53 _let_172))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_184)) :args _let_184)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_175) _let_173))) (REFL :args (_let_174)) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_175 (not _let_179)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_178 0)) :args ((or _let_177 _let_180))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_182) :args (_let_183)) (REWRITE :args ((=> _let_183 (not _let_177)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_183) _let_181))) (REFL :args (_let_176)) :args _let_68)) _let_182 :args (_let_176 true _let_181)) :args (_let_180 false _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.caterpillar X)))) :args _let_102)) _let_101 :args (_let_179 false _let_100)) :args (_let_175 true _let_178 false _let_179)) :args (_let_174 true _let_173)) :args (_let_53 true _let_172)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :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 ((not (= (tptp.plant BOUND_VARIABLE_845) false)) (not (= (tptp.much_smaller BOUND_VARIABLE_851 X) false)) _let_57))) :args _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_29 _let_32 _let_24 _let_22 _let_27 _let_25 _let_30 _let_37))) _let_116 _let_112 _let_153 _let_108 _let_107 _let_93 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_40 _let_44 _let_34 _let_38 _let_42 (not _let_45)))) _let_152 _let_145 _let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_44 _let_34 _let_54 _let_24 _let_52 _let_49 _let_51 _let_41 (not _let_55)))) _let_145 _let_116 _let_185 _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_54 _let_117 (not _let_118)))) _let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_171) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.plant Y) false))))) :args _let_171)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_170)) :args _let_170)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_169) _let_119))) (REFL :args ((not _let_124))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_44 _let_32 _let_128 _let_129 _let_127 _let_123 _let_121 (not _let_131)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_36 :args (_let_131 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_134 _let_165 _let_166 (not _let_167)))) _let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 1)) :args ((or _let_40 _let_168))) _let_152 :args (_let_168 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_167 false _let_160)) :args (_let_165 false _let_133 true _let_166 false _let_167)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_134 _let_157 _let_158 (not _let_159)))) _let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_158 0)) :args ((or _let_60 _let_164))) _let_74 :args (_let_164 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_159 false _let_160)) :args (_let_157 false _let_133 true _let_158 false _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_134 _let_60 _let_126 (not _let_154)))) _let_141 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :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_155))) _let_156 :args (_let_154 false _let_155)) :args (_let_126 false _let_133 false _let_59 false _let_154)) _let_153 _let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_125 (not _let_135)))) _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wolf X) false))))) :args (_let_136))) _let_137 :args (_let_135 false _let_136)) :args (_let_125 false _let_133 false _let_135)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 1)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) :args _let_68)) :args ((or _let_120 _let_124))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 0)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_122))) :args _let_68)) :args ((or _let_122 _let_124))) :args (_let_124 false _let_131 true _let_128 true _let_127 false _let_126 false _let_31 false _let_43 false _let_125 false _let_120 false _let_122)) :args (_let_119 false _let_124)) :args (_let_118 false _let_119)) :args (_let_117 false _let_53 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_75))) :args ((or _let_34 _let_29 _let_24 _let_22 _let_48 _let_27 _let_25 (not _let_75)))) _let_116 _let_112 _let_108 _let_107 _let_93 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :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_58)) :args _let_56)) _let_36 :args (_let_75 false _let_20)) :args (_let_48 false _let_33 false _let_28 false _let_23 false _let_21 false _let_26 true _let_25 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_60 _let_62 _let_50 (not _let_63)))) _let_74 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :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_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_50 false _let_59 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_36 :args (_let_55 false _let_20)) :args (_let_41 false _let_43 false _let_33 false _let_53 false _let_23 true _let_52 false _let_48 false _let_50 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.eats X Y) false)) (not (= (tptp.grain BOUND_VARIABLE_957) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_38 false _let_39 false _let_43 false _let_33 false _let_41 false _let_45)) :args (_let_37 false _let_33 false _let_28 false _let_31 false _let_23 false _let_21 false _let_26 true _let_25 true _let_30)) _let_36 :args (false true _let_35 false _let_20)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((X $$unsorted)) (=> (tptp.caterpillar X) (tptp.animal X))) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _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 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.72  )
% 0.21/0.72  % SZS output end Proof for PUZ031+1
% 0.21/0.72  % cvc5---1.0.5 exiting
% 0.21/0.72  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------