%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWV052-1.001.001 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 02:08:10 EDT 2023

% Result   : Unsatisfiable 10.33s 10.55s
% Output   : Proof 10.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : HWV052-1.001.001 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 16:08:51 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Dfsyj9EF6H/cvc5---1.0.5_2601.p...
% 0.22/0.50  ------- get file name : TPTP file name is HWV052-1.001.001
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2601.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.53  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.33/10.55  % SZS status Unsatisfiable for HWV052-1.001.001
% 10.33/10.55  % SZS output start Proof for HWV052-1.001.001
% 10.33/10.55  (
% 10.33/10.55  (let ((_let_1 (forall ((X1 $$unsorted)) (= (tptp.unpack1 X1 (tptp.inv (tptp.pack1 X1))) X1)))) (let ((_let_2 (forall ((X1 $$unsorted)) (= (tptp.unpack1 (tptp.inv X1) (tptp.pack1 X1)) X1)))) (let ((_let_3 (forall ((X1 $$unsorted)) (= (tptp.unpack1 X1 (tptp.pack1 X1)) X1)))) (let ((_let_4 (forall ((X $$unsorted)) (not (= (tptp.inv X) X))))) (let ((_let_5 (forall ((X $$unsorted)) (or (= X tptp.o) (= X tptp.i))))) (let ((_let_6 (tptp.pack1 e_$$unsorted_4))) (let ((_let_7 (tptp.inv e_$$unsorted_4))) (let ((_let_8 (= e_$$unsorted_4 (tptp.unpack1 _let_7 _let_6)))) (let ((_let_9 (= _let_7 (tptp.inv _let_7)))) (let ((_let_10 (tptp.pack1 _let_7))) (let ((_let_11 (tptp.inv _let_10))) (let ((_let_12 (= _let_7 (tptp.unpack1 _let_7 _let_11)))) (let ((_let_13 (= tptp.i e_$$unsorted_4))) (let ((_let_14 (= tptp.o _let_7))) (let ((_let_15 (= tptp.i _let_6))) (let ((_let_16 (= tptp.o _let_10))) (let ((_let_17 (= tptp.i _let_11))) (let ((_let_18 (forall ((X1 $$unsorted)) (= X1 (tptp.unpack1 (tptp.inv X1) (tptp.pack1 X1)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args _let_20) :args (_let_18))) _let_19 :args (_let_8 false _let_18)))) (let ((_let_22 (forall ((X $$unsorted)) (not (= X (tptp.inv X)))))) (let ((_let_23 (not _let_9))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_22))) (let ((_let_26 (_let_7 QUANTIFIERS_INST_ENUM))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args _let_26) :args _let_25)) _let_24 :args (_let_23 false _let_22)))) (let ((_let_28 (forall ((X1 $$unsorted)) (= X1 (tptp.unpack1 X1 (tptp.inv (tptp.pack1 X1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_26) :args (_let_28))) _let_29 :args (_let_12 false _let_28)))) (let ((_let_31 (= tptp.o e_$$unsorted_4))) (let ((_let_32 (or _let_31 _let_13))) (let ((_let_33 (forall ((X $$unsorted)) (or (= tptp.o X) (= tptp.i X))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (= e_$$unsorted_4 _let_7))) (let ((_let_37 (= tptp.i _let_7))) (let ((_let_38 (or _let_14 _let_37))) (let ((_let_39 (= tptp.o _let_6))) (let ((_let_40 (or _let_39 _let_15))) (let ((_let_41 (= tptp.i _let_10))) (let ((_let_42 (or _let_16 _let_41))) (let ((_let_43 (= _let_7 (tptp.unpack1 _let_7 _let_10)))) (let ((_let_44 (not _let_31))) (let ((_let_45 (not _let_36))) (let ((_let_46 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args _let_20) :args _let_25)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST _let_46 _let_24 :args (_let_45 false _let_22)))) (let ((_let_48 (not _let_14))) (let ((_let_49 (or))) (let ((_let_50 (REFL :args (_let_48)))) (let ((_let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_36))))) (let ((_let_52 (and _let_31 _let_45))) (let ((_let_53 (ASSUME :args (_let_45)))) (let ((_let_54 (FALSE_INTRO _let_53))) (let ((_let_55 (=))) (let ((_let_56 (REFL :args (_let_7)))) (let ((_let_57 (ASSUME :args (_let_31)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_57) (SCOPE (FALSE_ELIM (TRANS (CONG _let_59 _let_56 :args _let_55) _let_54)) :args (_let_45 _let_31))) :args (_let_31 _let_45))) :args (true _let_52)) (CONG (REFL :args (_let_44)) _let_51 _let_50 :args _let_49)) :args ((or _let_36 _let_44 _let_48))))) (let ((_let_61 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST _let_61 _let_34 :args (_let_38 false _let_33)))) (let ((_let_63 (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_14 _let_37 (not _let_38)))))) (let ((_let_64 (= tptp.o _let_11))) (let ((_let_65 (or _let_64 _let_17))) (let ((_let_66 (not _let_39))) (let ((_let_67 (forall ((X1 $$unsorted)) (= X1 (tptp.unpack1 X1 (tptp.pack1 X1)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args _let_26) :args (_let_67))) _let_68 :args (_let_43 false _let_67)))) (let ((_let_70 (not _let_16))) (let ((_let_71 (not _let_43))) (let ((_let_72 (not _let_8))) (let ((_let_73 (and _let_31 _let_8 _let_39 _let_43 _let_16))) (let ((_let_74 (ASSUME :args (_let_43)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (APPLY_UF tptp.unpack1))) (let ((_let_77 (ASSUME :args (_let_16)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (ASSUME :args (_let_39)))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (CONG _let_56 (TRANS _let_81 _let_79) :args _let_76))) (let ((_let_83 (ASSUME :args (_let_8)))) (let ((_let_84 (SYMM _let_83))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_34 :args (_let_42 false _let_33)))) (let ((_let_87 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_16 _let_41 (not _let_42)))))) (let ((_let_88 (not _let_17))) (let ((_let_89 (not _let_41))) (let ((_let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_9))))) (let ((_let_91 (not _let_37))) (let ((_let_92 (REFL :args (_let_91)))) (let ((_let_93 (and _let_37 _let_23 _let_41))) (let ((_let_94 (ASSUME :args (_let_23)))) (let ((_let_95 (FALSE_INTRO _let_94))) (let ((_let_96 (APPLY_UF tptp.inv))) (let ((_let_97 (ASSUME :args (_let_37)))) (let ((_let_98 (SYMM (SYMM _let_97)))) (let ((_let_99 (ASSUME :args (_let_41)))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (CONG (TRANS _let_100 _let_98) :args _let_96))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_34 :args (_let_65 false _let_33)))) (let ((_let_103 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_17 (not _let_65)))))) (let ((_let_104 (not _let_64))) (let ((_let_105 (not _let_12))) (let ((_let_106 (and _let_31 _let_8 _let_37 _let_39 _let_12 _let_41 _let_64))) (let ((_let_107 (ASSUME :args (_let_64)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (ASSUME :args (_let_12)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_34 :args (_let_40 false _let_33)))) (let ((_let_113 (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_15 (not _let_40)))))) (let ((_let_114 (not _let_15))) (let ((_let_115 (and _let_31 _let_8 _let_37 _let_15 _let_12 _let_16))) (let ((_let_116 (ASSUME :args (_let_15)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (and _let_8 _let_15 _let_43 _let_41))) (let ((_let_119 (SYMM _let_100))) (let ((_let_120 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_99 _let_116 _let_83) (SCOPE (TRANS _let_85 (CONG _let_56 (TRANS _let_117 _let_119) :args _let_76) _let_75) :args (_let_43 _let_41 _let_15 _let_8))) :args (_let_8 _let_15 _let_43 _let_41))) :args (true _let_118)) :args ((or _let_36 _let_72 _let_114 _let_71 _let_89))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_13 (not _let_32)))) (MACRO_RESOLUTION_TRUST _let_120 _let_69 _let_21 _let_47 _let_87 _let_86 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_77 _let_57 _let_97 _let_116 _let_83) (SCOPE (TRANS _let_85 (CONG _let_56 (TRANS _let_117 _let_98 (CONG (TRANS _let_58 _let_79) :args _let_96)) :args _let_76) _let_110) :args (_let_12 _let_16 _let_31 _let_37 _let_15 _let_8))) :args (_let_31 _let_8 _let_37 _let_15 _let_12 _let_16))) :args (true _let_115)) :args ((or _let_36 _let_44 _let_72 _let_91 _let_114 _let_105 _let_70))) _let_30 _let_21 _let_47 _let_113 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_99 _let_107 _let_57 _let_83 _let_80 _let_109) (SCOPE (TRANS _let_111 (CONG _let_56 (TRANS _let_108 (SYMM _let_81)) :args _let_76) _let_84 _let_58 (SYMM _let_108) _let_101) :args (_let_37 _let_41 _let_64 _let_31 _let_8 _let_39 _let_12))) :args (_let_31 _let_8 _let_37 _let_39 _let_12 _let_41 _let_64))) :args (true _let_106)) :args ((or _let_44 _let_72 _let_91 _let_66 _let_9 _let_105 _let_89 _let_104))) _let_30 _let_27 _let_21 _let_103 _let_102 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_97 _let_99) (SCOPE (FALSE_ELIM (TRANS (CONG _let_98 _let_101 :args _let_55) _let_95)) :args (_let_23 _let_37 _let_41))) :args (_let_37 _let_23 _let_41))) :args (true _let_93)) (CONG _let_92 _let_90 (REFL :args (_let_89)) (REFL :args (_let_88)) :args _let_49)) _let_27 _let_87 _let_86 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_77 _let_80 _let_83 _let_57) (SCOPE (TRANS _let_59 _let_85 _let_82 _let_75) :args (_let_43 _let_16 _let_39 _let_8 _let_31))) :args (_let_31 _let_8 _let_39 _let_43 _let_16))) :args (true _let_73)) :args ((or _let_44 _let_72 _let_14 _let_66 _let_71 _let_70))) _let_69 _let_21 _let_63 _let_61 _let_34 _let_60 _let_46 _let_24 :args ((or _let_44 _let_66) false _let_12 true _let_9 false _let_8 false _let_64 false _let_65 true _let_17 true _let_9 false _let_41 false _let_42 true _let_16 false _let_43 false _let_8 false _let_37 false _let_38 false _let_33 true _let_14 true _let_36 false _let_22)) _let_63 _let_62 _let_60 _let_47 :args (_let_44 false _let_43 false _let_8 true _let_36 false _let_41 false _let_42 true _let_16 false _let_12 false _let_8 true _let_36 false _let_15 false _let_40 true _let_39 false _let_37 false _let_38 true _let_14 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_20) :args _let_35)) _let_34 :args (_let_32 false _let_33)) :args (_let_13 true _let_31 false _let_32)))) (let ((_let_122 (not _let_13))) (let ((_let_123 (and _let_13 _let_45))) (let ((_let_124 (ASSUME :args (_let_13)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (MACRO_RESOLUTION_TRUST _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_124) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_125) _let_56 :args _let_55) _let_54)) :args (_let_45 _let_13))) :args (_let_13 _let_45))) :args (true _let_123)) (CONG (REFL :args (_let_122)) _let_51 _let_92 :args _let_49)) :args ((or _let_36 _let_122 _let_91))) _let_47 _let_121 :args (_let_91 true _let_36 false _let_13)) _let_62 :args (_let_14 true _let_37 false _let_38)))) (let ((_let_127 (and _let_8 _let_39 _let_43 _let_16))) (let ((_let_128 (and _let_13 _let_8 _let_14 _let_39 _let_12 _let_41))) (let ((_let_129 (ASSUME :args (_let_14)))) (let ((_let_130 (SYMM (SYMM _let_129)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST _let_113 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_99 _let_124 _let_129 _let_80 _let_83) (SCOPE (TRANS _let_85 (CONG _let_56 (TRANS _let_81 _let_130 (CONG (TRANS _let_125 _let_119) :args _let_96)) :args _let_76) _let_110) :args (_let_12 _let_41 _let_13 _let_14 _let_39 _let_8))) :args (_let_13 _let_8 _let_14 _let_39 _let_12 _let_41))) :args (true _let_128)) :args ((or _let_36 _let_122 _let_72 _let_48 _let_66 _let_105 _let_89))) _let_126 _let_121 _let_30 _let_21 _let_47 _let_87 _let_86 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_77 _let_80 _let_83) (SCOPE (TRANS _let_85 _let_82 _let_75) :args (_let_43 _let_16 _let_39 _let_8))) :args (_let_8 _let_39 _let_43 _let_16))) :args (true _let_127)) :args ((or _let_36 _let_72 _let_66 _let_71 _let_70))) _let_69 _let_21 _let_47 :args (_let_66 false _let_14 false _let_13 false _let_12 false _let_8 true _let_36 false _let_41 false _let_42 true _let_16 false _let_43 false _let_8 true _let_36)) _let_112 :args (_let_15 true _let_39 false _let_40)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST _let_120 _let_47 _let_21 _let_131 _let_69 :args (_let_89 true _let_36 false _let_8 false _let_15 false _let_43)) _let_86 :args (_let_16 true _let_41 false _let_42)))) (let ((_let_133 (and _let_14 _let_23 _let_16))) (let ((_let_134 (CONG (TRANS _let_78 _let_130) :args _let_96))) (let ((_let_135 (and _let_13 _let_8 _let_14 _let_15 _let_12 _let_16 _let_17))) (let ((_let_136 (ASSUME :args (_let_17)))) (let ((_let_137 (SYMM _let_136))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_77 _let_136 _let_124 _let_83 _let_116 _let_109) (SCOPE (TRANS _let_111 (CONG _let_56 (TRANS _let_137 (SYMM _let_117)) :args _let_76) _let_84 _let_125 (SYMM _let_137) _let_134) :args (_let_14 _let_16 _let_17 _let_13 _let_8 _let_15 _let_12))) :args (_let_13 _let_8 _let_14 _let_15 _let_12 _let_16 _let_17))) :args (true _let_135)) :args ((or _let_122 _let_72 _let_48 _let_114 _let_9 _let_105 _let_70 _let_88))) (MACRO_RESOLUTION_TRUST _let_103 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_129 _let_77) (SCOPE (FALSE_ELIM (TRANS (CONG _let_130 _let_134 :args _let_55) _let_95)) :args (_let_23 _let_14 _let_16))) :args (_let_14 _let_23 _let_16))) :args (true _let_133)) (CONG _let_50 _let_90 (REFL :args (_let_70)) (REFL :args (_let_104)) :args _let_49)) _let_126 _let_27 _let_132 :args (_let_104 false _let_14 true _let_9 false _let_16)) _let_102 :args (_let_17 true _let_64 false _let_65)) _let_132 _let_131 _let_126 _let_121 _let_30 _let_27 _let_21 :args (false false _let_17 false _let_16 false _let_15 false _let_14 false _let_13 false _let_12 true _let_9 false _let_8)) :args (_let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.33/10.55  )
% 10.33/10.55  % SZS output end Proof for HWV052-1.001.001
% 10.33/10.55  % cvc5---1.0.5 exiting
% 10.33/10.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------