%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 01:57:58 EDT 2023

% Result   : Unsatisfiable 0.27s 0.61s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.17  % Problem    : HWC002-1 : TPTP v8.1.2. Released v1.1.0.
% 0.15/0.18  % Command    : do_cvc5 %s %d
% 0.19/0.40  % Computer : n024.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Mon Aug 28 06:38:08 EDT 2023
% 0.19/0.41  % CPUTime    : 
% 0.27/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SX0x3Vj6c8/cvc5---1.0.5_16232.p...
% 0.27/0.55  ------- get file name : TPTP file name is HWC002-1
% 0.27/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16232.smt2...
% 0.27/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.27/0.61  % SZS status Unsatisfiable for HWC002-1
% 0.27/0.61  % SZS output start Proof for HWC002-1
% 0.27/0.62  (
% 0.27/0.62  (let ((_let_1 (tptp.table tptp.n0 tptp.n0 tptp.n1 tptp.n1))) (let ((_let_2 (tptp.connect _let_1 tptp.nil))) (let ((_let_3 (tptp.bottom _let_2))) (let ((_let_4 (tptp.table tptp.n0 tptp.n1 tptp.n0 tptp.n1))) (let ((_let_5 (tptp.connect _let_4 tptp.nil))) (let ((_let_6 (tptp.top _let_5))) (let ((_let_7 (tptp.circuit _let_6 tptp.nil _let_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.bottom _let_5))) (let ((_let_10 (tptp.top _let_2))) (let ((_let_11 (tptp.circuit _let_10 tptp.nil _let_9))) (let ((_let_12 (tptp.table tptp.n1 tptp.n1 tptp.n1 tptp.n1))) (let ((_let_13 (= _let_12 tptp.nil))) (let ((_let_14 (tptp.table tptp.n0 tptp.n0 tptp.n0 tptp.n0))) (let ((_let_15 (= _let_14 tptp.nil))) (let ((_let_16 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (= (tptp.not (tptp.table X1 X2 X3 X4)) (tptp.table (tptp.not X1) (tptp.not X2) (tptp.not X3) (tptp.not X4)))))) (let ((_let_17 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (= (tptp.and (tptp.table X1 X2 X3 X4) (tptp.table Y1 Y2 Y3 Y4)) (tptp.table (tptp.and X1 Y1) (tptp.and X2 Y2) (tptp.and X3 Y3) (tptp.and X4 Y4)))))) (let ((_let_18 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (let ((_let_1 (tptp.bottom (tptp.connect Y1 Y2)))) (let ((_let_2 (tptp.top (tptp.connect X1 X2)))) (or (not (tptp.circuit _let_2 tptp.nil _let_1)) (tptp.circuit _let_2 (tptp.middle (tptp.and X1 Y1)) _let_1))))))) (let ((_let_19 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) (tptp.middle Y) (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.and Y X1) X2)) tptp.nil (tptp.bottom (tptp.connect (tptp.and Y Z1) Z2))))))) (let ((_let_20 (tptp.not tptp.n1))) (let ((_let_21 (= _let_20 tptp.n0))) (let ((_let_22 (tptp.not tptp.n0))) (let ((_let_23 (= _let_22 tptp.n1))) (let ((_let_24 (tptp.and tptp.n1 tptp.n1))) (let ((_let_25 (= _let_24 tptp.n1))) (let ((_let_26 (tptp.and tptp.n1 tptp.n0))) (let ((_let_27 (= _let_26 tptp.n0))) (let ((_let_28 (tptp.and tptp.n0 tptp.n1))) (let ((_let_29 (= _let_28 tptp.n0))) (let ((_let_30 (tptp.and tptp.n0 tptp.n0))) (let ((_let_31 (= _let_30 tptp.n0))) (let ((_let_32 (= tptp.n0 _let_30))) (let ((_let_33 (= tptp.n0 _let_28))) (let ((_let_34 (= tptp.n0 _let_26))) (let ((_let_35 (= tptp.n1 _let_24))) (let ((_let_36 (= tptp.n1 _let_22))) (let ((_let_37 (= tptp.n0 _let_20))) (let ((_let_38 (= tptp.nil _let_14))) (let ((_let_39 (= tptp.nil _let_12))) (let ((_let_40 (= (tptp.and _let_12 _let_14) (tptp.table _let_26 _let_26 _let_26 _let_26)))) (let ((_let_41 (tptp.and _let_12 _let_4))) (let ((_let_42 (= _let_41 (tptp.table _let_26 _let_24 _let_26 _let_24)))) (let ((_let_43 (tptp.and _let_12 _let_1))) (let ((_let_44 (= _let_43 (tptp.table _let_26 _let_26 _let_24 _let_24)))) (let ((_let_45 (= (tptp.not (tptp.table tptp.n1 tptp.n0 tptp.n1 tptp.n0)) (tptp.table _let_20 _let_22 _let_20 _let_22)))) (let ((_let_46 (tptp.circuit _let_10 (tptp.middle (tptp.and _let_1 _let_4)) _let_9))) (let ((_let_47 (= (tptp.and _let_14 _let_4) (tptp.table _let_30 _let_28 _let_30 _let_28)))) (let ((_let_48 (= (tptp.and _let_14 _let_1) (tptp.table _let_30 _let_30 _let_28 _let_28)))) (let ((_let_49 (tptp.circuit _let_6 (tptp.middle _let_12) _let_3))) (let ((_let_50 (SYMM (ASSUME :args (_let_31))))) (let ((_let_51 (SYMM (ASSUME :args (_let_29))))) (let ((_let_52 (SYMM (ASSUME :args (_let_27))))) (let ((_let_53 (SYMM (ASSUME :args (_let_25))))) (let ((_let_54 (SYMM (ASSUME :args (_let_23))))) (let ((_let_55 (SYMM (ASSUME :args (_let_21))))) (let ((_let_56 (SYMM (ASSUME :args (_let_15))))) (let ((_let_57 (SYMM (ASSUME :args (_let_13))))) (let ((_let_58 (_let_17))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.table (tptp.and X1 Y1) (tptp.and X2 Y2) (tptp.and X3 Y3) (tptp.and X4 Y4))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n1 tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_42 false _let_17)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n0 tptp.n1 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_44 false _let_17)))) (let ((_let_63 (_let_16))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_11))) (let ((_let_66 (or _let_65 _let_46))) (let ((_let_67 (_let_18))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.and (tptp.table X1 X2 X3 X4) (tptp.table Y1 Y2 Y3 Y4))))) (let ((_let_70 (tptp.circuit (tptp.top (tptp.connect _let_41 tptp.nil)) tptp.nil (tptp.bottom (tptp.connect _let_43 tptp.nil))))) (let ((_let_71 (not _let_49))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (_let_19))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (not _let_70))) (let ((_let_76 (ASSUME :args (_let_8)))) (let ((_let_77 (not _let_44))) (let ((_let_78 (not _let_42))) (let ((_let_79 (not _let_35))) (let ((_let_80 (not _let_34))) (let ((_let_81 (and _let_8 _let_34 _let_35 _let_42 _let_44))) (let ((_let_82 (_let_8 _let_34 _let_35 _let_42 _let_44))) (let ((_let_83 (APPLY_UF tptp.circuit))) (let ((_let_84 (APPLY_UF tptp.bottom))) (let ((_let_85 (APPLY_UF tptp.connect))) (let ((_let_86 (REFL :args (tptp.nil)))) (let ((_let_87 (APPLY_UF tptp.table))) (let ((_let_88 (SYMM _let_53))) (let ((_let_89 (SYMM _let_52))) (let ((_let_90 (ASSUME :args (_let_44)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (APPLY_UF tptp.top))) (let ((_let_93 (CONG _let_89 _let_88 _let_89 _let_88 :args _let_87))) (let ((_let_94 (ASSUME :args (_let_42)))) (let ((_let_95 (SYMM (SYMM _let_94)))) (let ((_let_96 (TRANS _let_95 _let_93))) (let ((_let_97 (CONG _let_96 _let_86 :args _let_85))) (let ((_let_98 (and _let_32 _let_33 _let_34 _let_35 _let_36 _let_37 _let_38 _let_39 _let_46 _let_40 _let_42 _let_44 _let_45 _let_47 _let_48))) (let ((_let_99 (ASSUME :args (_let_46)))) (let ((_let_100 (SYMM _let_54))) (let ((_let_101 (SYMM _let_55))) (let ((_let_102 (CONG _let_101 _let_100 _let_101 _let_100 :args _let_87))) (let ((_let_103 (ASSUME :args (_let_45)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (APPLY_UF tptp.and))) (let ((_let_106 (SYMM _let_57))) (let ((_let_107 (TRANS (SYMM _let_56) (SYMM _let_106)))) (let ((_let_108 (CONG _let_107 (REFL :args (_let_4)) :args _let_105))) (let ((_let_109 (ASSUME :args (_let_47)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (TRANS _let_89 (SYMM (SYMM _let_51))))) (let ((_let_112 (TRANS _let_89 (SYMM (SYMM _let_50))))) (let ((_let_113 (CONG _let_112 _let_111 _let_112 _let_111 :args _let_87))) (let ((_let_114 (SYMM _let_111))) (let ((_let_115 (SYMM _let_112))) (let ((_let_116 (CONG _let_115 _let_115 _let_114 _let_114 :args _let_87))) (let ((_let_117 (ASSUME :args (_let_48)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (REFL :args (_let_1)))) (let ((_let_120 (CONG (SYMM _let_107) _let_119 :args _let_105))) (let ((_let_121 (CONG _let_52 _let_52 _let_53 _let_53 :args _let_87))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (TRANS _let_90 _let_122))) (let ((_let_124 (TRANS (CONG (SYMM _let_123) _let_86 :args _let_85) (CONG (TRANS _let_123 (TRANS _let_121 _let_91 _let_120 (SYMM _let_118) _let_116 _let_113 _let_110 _let_108 _let_95 _let_93 (SYMM _let_102) _let_104) (TRANS (SYMM _let_104) _let_102) (SYMM _let_96)) _let_86 :args _let_85) _let_97))) (let ((_let_125 (CONG _let_52 _let_52 _let_52 _let_52 :args _let_87))) (let ((_let_126 (ASSUME :args (_let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_52 _let_53 _let_90 _let_57 _let_56 _let_117 _let_50 _let_51 _let_109 _let_94 _let_55 _let_54 _let_103 _let_126) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (SYMM _let_124) :args _let_92) (CONG (TRANS _let_106 _let_56 _let_125 (SYMM _let_126) (CONG (REFL :args (_let_12)) _let_107 :args _let_105) (CONG (TRANS _let_106 _let_56 _let_125 (SYMM _let_116) _let_118 (SYMM _let_120) _let_90 _let_122) (TRANS _let_106 _let_56 _let_125 _let_113 _let_110 _let_108 _let_95) :args _let_105) (CONG _let_119 _let_93 :args _let_105)) :args (APPLY_UF tptp.middle)) (CONG _let_124 :args _let_84) :args _let_83) (TRUE_INTRO _let_99))) :args (_let_46 _let_34 _let_35 _let_44 _let_39 _let_38 _let_48 _let_32 _let_33 _let_47 _let_42 _let_37 _let_36 _let_45 _let_40))) :args (_let_32 _let_33 _let_34 _let_35 _let_36 _let_37 _let_38 _let_39 _let_46 _let_40 _let_42 _let_44 _let_45 _let_47 _let_48))) :args (true _let_98)) :args ((or (not _let_32) (not _let_33) _let_80 _let_79 (not _let_36) (not _let_37) (not _let_38) (not _let_39) (not _let_46) (not _let_40) _let_78 _let_77 (not _let_45) _let_49 (not _let_47) (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_70 (not _let_72)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_52 _let_53 _let_94 _let_90) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_97 :args _let_92) _let_86 (CONG (CONG (TRANS (SYMM _let_91) (CONG _let_89 _let_89 _let_88 _let_88 :args _let_87)) _let_86 :args _let_85) :args _let_84) :args _let_83) (FALSE_INTRO _let_76))) :args _let_82)) :args _let_82)) :args (true _let_81)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args (_let_80)) (REFL :args (_let_79)) (REFL :args (_let_78)) (REFL :args (_let_77)) (REFL :args (_let_75)) :args (or))) _let_76 _let_52 _let_53 _let_61 _let_62 :args (_let_75 true _let_7 false _let_34 false _let_35 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_4 tptp.nil _let_12 _let_1 tptp.nil QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.circuit (tptp.top (tptp.connect (tptp.and Y X1) X2)) tptp.nil (tptp.bottom (tptp.connect (tptp.and Y Z1) Z2))) true))))) :args _let_73)) _let_74 :args (_let_72 false _let_19)) :args (_let_71 true _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n1 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_58)) _let_59 :args (_let_48 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n1 tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_58)) _let_59 :args (_let_47 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_46 (not _let_66)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_1 tptp.nil _let_4 tptp.nil QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.circuit (tptp.top (tptp.connect X1 X2)) tptp.nil (tptp.bottom (tptp.connect Y1 Y2))) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_18)) :args (_let_46 false _let_11 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.n1 tptp.n0 tptp.n1 tptp.n0 QUANTIFIERS_INST_E_MATCHING ((tptp.table (tptp.not X1) (tptp.not X2) (tptp.not X3) (tptp.not X4))))) :args _let_63)) _let_64 :args (_let_45 false _let_16)) _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.n1 tptp.n1 tptp.n1 tptp.n1 tptp.n0 tptp.n0 tptp.n0 tptp.n0 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_40 false _let_17)) _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 :args (false true _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_39 false _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_32)) :args (_let_31 _let_29 _let_27 _let_25 (= (tptp.or tptp.n0 tptp.n0) tptp.n0) (= (tptp.or tptp.n0 tptp.n1) tptp.n1) (= (tptp.or tptp.n1 tptp.n0) tptp.n1) (= (tptp.or tptp.n1 tptp.n1) tptp.n1) _let_23 _let_21 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.middle Y))) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) _let_1 (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.and Y X1) X2)) _let_1 (tptp.bottom (tptp.connect (tptp.and Y Z1) Z2)))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.middle Y))) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) _let_1 (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.or Y X1) X2)) _let_1 (tptp.bottom (tptp.connect (tptp.or Y Z1) Z2)))))) _let_19 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) (tptp.middle Y) (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.or Y X1) X2)) tptp.nil (tptp.bottom (tptp.connect (tptp.or Y Z1) Z2))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) tptp.nil (tptp.bottom (tptp.connect Y1 Y2)))) (tptp.circuit (tptp.top X2) (tptp.middle (tptp.and X1 Y1)) (tptp.bottom Y2)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) tptp.nil (tptp.bottom (tptp.connect Y1 Y2)))) (tptp.circuit (tptp.top X2) (tptp.middle (tptp.or X1 Y1)) (tptp.bottom Y2)))) _let_18 (forall ((X1 $$unsorted) (X2 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (let ((_let_1 (tptp.bottom (tptp.connect Y1 Y2)))) (let ((_let_2 (tptp.top (tptp.connect X1 X2)))) (or (not (tptp.circuit _let_2 tptp.nil _let_1)) (tptp.circuit _let_2 (tptp.middle (tptp.or X1 Y1)) _let_1))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.connect Z1 Z2))) (let ((_let_2 (tptp.connect X1 X2))) (or (not (tptp.circuit (tptp.top _let_2) (tptp.middle Y) (tptp.bottom _let_1))) (tptp.circuit (tptp.top (tptp.connect (tptp.and Y X1) _let_2)) tptp.nil (tptp.bottom (tptp.connect (tptp.and Y Z1) _let_1))))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.connect Z1 Z2))) (let ((_let_2 (tptp.connect X1 X2))) (or (not (tptp.circuit (tptp.top _let_2) (tptp.middle Y) (tptp.bottom _let_1))) (tptp.circuit (tptp.top (tptp.connect (tptp.or Y X1) _let_2)) tptp.nil (tptp.bottom (tptp.connect (tptp.or Y Z1) _let_1))))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (let ((_let_1 (tptp.middle Y))) (or (not (tptp.circuit (tptp.top (tptp.connect X1 (tptp.connect X2 X3))) _let_1 (tptp.bottom (tptp.connect Z1 (tptp.connect Z2 Z3))))) (tptp.circuit (tptp.top (tptp.connect (tptp.and X1 X2) X3)) _let_1 (tptp.bottom (tptp.connect (tptp.and Z1 Z2) Z3)))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (let ((_let_1 (tptp.middle Y))) (or (not (tptp.circuit (tptp.top (tptp.connect X1 (tptp.connect X2 X3))) _let_1 (tptp.bottom (tptp.connect Z1 (tptp.connect Z2 Z3))))) (tptp.circuit (tptp.top (tptp.connect (tptp.or X1 X2) X3)) _let_1 (tptp.bottom (tptp.connect (tptp.or Z1 Z2) Z3)))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.bottom Z))) (let ((_let_2 (tptp.top X))) (or (not (tptp.circuit _let_2 (tptp.middle Y) _let_1)) (tptp.circuit _let_2 (tptp.middle (tptp.not Y)) _let_1))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Y $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.middle Y))) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) _let_1 (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.not X1) X2)) _let_1 (tptp.bottom (tptp.connect (tptp.not Z1) Z2)))))) (forall ((X1 $$unsorted) (X2 $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.circuit (tptp.top (tptp.connect X1 X2)) tptp.nil (tptp.bottom (tptp.connect Z1 Z2)))) (tptp.circuit (tptp.top (tptp.connect (tptp.not X1) X2)) tptp.nil (tptp.bottom (tptp.connect (tptp.not Z1) Z2))))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.circuit (tptp.top X) Y (tptp.bottom X))) _let_17 (forall ((X $$unsorted)) (= (tptp.and tptp.nil X) X)) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted) (Y4 $$unsorted)) (= (tptp.or (tptp.table X1 X2 X3 X4) (tptp.table Y1 Y2 Y3 Y4)) (tptp.table (tptp.or X1 Y1) (tptp.or X2 Y2) (tptp.or X3 Y3) (tptp.or X4 Y4)))) (forall ((X $$unsorted)) (= (tptp.or tptp.nil X) X)) _let_16 (= (tptp.not tptp.nil) tptp.nil) _let_15 _let_13 (forall ((X $$unsorted)) (= (tptp.connect tptp.nil X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.connect X Y))) (= (tptp.connect X _let_1) _let_1))) _let_11 _let_8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.27/0.62  )
% 0.27/0.62  % SZS output end Proof for HWC002-1
% 0.27/0.62  % cvc5---1.0.5 exiting
% 0.27/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------