TSTP Solution File: HWV005-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 02:07:03 EDT 2023
% Result : Unsatisfiable 0.23s 0.56s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.18 % Problem : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.19 % Command : do_cvc5 %s %d
% 0.16/0.40 % Computer : n014.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8042.1875MB
% 0.16/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Tue Aug 29 16:48:00 EDT 2023
% 0.16/0.41 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YcIy1UVmSn/cvc5---1.0.5_6797.p...
% 0.23/0.53 ------- get file name : TPTP file name is HWV005-2
% 0.23/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6797.smt2...
% 0.23/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56 % SZS status Unsatisfiable for HWV005-2
% 0.23/0.56 % SZS output start Proof for HWV005-2
% 0.23/0.57 (
% 0.23/0.57 (let ((_let_1 (tptp.or1 tptp.h))) (let ((_let_2 (tptp.abnormal _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.not1 tptp.h))) (let ((_let_5 (tptp.abnormal _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.and1 tptp.h))) (let ((_let_8 (tptp.abnormal _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.outc tptp.h))) (let ((_let_11 (tptp.zero _let_10))) (let ((_let_12 (tptp.outs tptp.h))) (let ((_let_13 (tptp.zero _let_12))) (let ((_let_14 (tptp.in1 tptp.h))) (let ((_let_15 (tptp.one _let_14))) (let ((_let_16 (tptp.halfadder tptp.h))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.out1 (tptp.not1 X)) (tptp.in2 (tptp.and1 X))))))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.out1 (tptp.and2 X)) (tptp.in1 (tptp.not1 X))))))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.out1 (tptp.or1 X)) (tptp.in1 (tptp.and1 X))))))) (let ((_let_20 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.outc X) (tptp.out1 (tptp.and2 X))))))) (let ((_let_21 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.outs X) (tptp.out1 (tptp.and1 X))))))) (let ((_let_22 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.in1 X) (tptp.in1 (tptp.or1 X))))))) (let ((_let_23 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.logic_or (tptp.or1 X)))))) (let ((_let_24 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.logic_not (tptp.not1 X)))))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.logic_and (tptp.and1 X)))))) (let ((_let_26 (forall ((K $$unsorted)) (or (not (tptp.logic_not K)) (tptp.not_ok K) (tptp.abnormal K))))) (let ((_let_27 (forall ((K $$unsorted)) (or (not (tptp.not_ok K)) (not (tptp.zero (tptp.in1 K))) (tptp.one (tptp.out1 K)))))) (let ((_let_28 (forall ((K $$unsorted)) (or (not (tptp.logic_or K)) (tptp.or_ok K) (tptp.abnormal K))))) (let ((_let_29 (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.one (tptp.in1 K))) (tptp.one (tptp.out1 K)))))) (let ((_let_30 (forall ((K $$unsorted)) (or (not (tptp.logic_and K)) (tptp.and_ok K) (tptp.abnormal K))))) (let ((_let_31 (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.one (tptp.in1 K))) (not (tptp.one (tptp.in2 K))) (tptp.one (tptp.out1 K)))))) (let ((_let_32 (forall ((P $$unsorted)) (or (not (tptp.zero P)) (not (tptp.one P)))))) (let ((_let_33 (forall ((P1 $$unsorted) (P2 $$unsorted)) (or (not (tptp.connection P1 P2)) (not (tptp.one P2)) (tptp.one P1))))) (let ((_let_34 (forall ((P1 $$unsorted) (P2 $$unsorted)) (or (not (tptp.connection P1 P2)) (not (tptp.one P1)) (tptp.one P2))))) (let ((_let_35 (forall ((P1 $$unsorted) (P2 $$unsorted)) (or (not (tptp.connection P1 P2)) (not (tptp.zero P1)) (tptp.zero P2))))) (let ((_let_36 (tptp.and_ok _let_7))) (let ((_let_37 (tptp.out1 _let_7))) (let ((_let_38 (tptp.one _let_37))) (let ((_let_39 (tptp.in2 _let_7))) (let ((_let_40 (tptp.one _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.in1 _let_7))) (let ((_let_43 (tptp.one _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_36))) (let ((_let_46 (or _let_45 _let_44 _let_41 _let_38))) (let ((_let_47 (tptp.logic_and _let_7))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_36 _let_8))) (let ((_let_50 (_let_30))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (not _let_16))) (let ((_let_53 (or _let_52 _let_47))) (let ((_let_54 (_let_25))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (ASSUME :args (_let_16)))) (let ((_let_57 (_let_31))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (tptp.one _let_12))) (let ((_let_60 (not _let_38))) (let ((_let_61 (tptp.connection _let_12 _let_37))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60 _let_59))) (let ((_let_64 (_let_33))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (or _let_52 _let_61))) (let ((_let_67 (_let_21))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (not _let_59))) (let ((_let_70 (not _let_13))) (let ((_let_71 (or _let_70 _let_69))) (let ((_let_72 (_let_32))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (tptp.out1 _let_1))) (let ((_let_75 (tptp.one _let_74))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.connection _let_74 _let_42))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_43))) (let ((_let_80 (_let_34))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((not (= (tptp.connection P1 P2) false))))) (let ((_let_83 (tptp.in1 _let_1))) (let ((_let_84 (tptp.one _let_83))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.or_ok _let_1))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_75))) (let ((_let_89 (_let_29))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (not _let_15))) (let ((_let_92 (tptp.connection _let_14 _let_83))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_84))) (let ((_let_95 (or _let_52 _let_92))) (let ((_let_96 (_let_22))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (tptp.logic_or _let_1))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_86 _let_2))) (let ((_let_101 (_let_28))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (or _let_52 _let_98))) (let ((_let_104 (_let_23))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (or _let_52 _let_77))) (let ((_let_107 (_let_19))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (tptp.out1 _let_4))) (let ((_let_110 (tptp.one _let_109))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.connection _let_109 _let_39))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111 _let_40))) (let ((_let_115 (tptp.in1 _let_4))) (let ((_let_116 (tptp.zero _let_115))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.not_ok _let_4))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117 _let_110))) (let ((_let_121 (_let_27))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (tptp.out1 (tptp.and2 tptp.h)))) (let ((_let_124 (tptp.zero _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.connection _let_123 _let_115))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_125 _let_116))) (let ((_let_129 (_let_35))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 ((not (= (tptp.connection P1 P2) false))))) (let ((_let_132 (not _let_11))) (let ((_let_133 (tptp.connection _let_10 _let_123))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132 _let_124))) (let ((_let_136 (or _let_52 _let_133))) (let ((_let_137 (_let_20))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 (or _let_52 _let_126))) (let ((_let_140 (_let_18))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (tptp.logic_not _let_4))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_118 _let_5))) (let ((_let_145 (_let_26))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (or _let_52 _let_142))) (let ((_let_148 (_let_24))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 (or _let_52 _let_112))) (let ((_let_151 (_let_17))) (let ((_let_152 (ASSUME :args _let_151))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_38 _let_44 _let_41 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_113 _let_111 _let_40 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_52 _let_112 (not _let_150)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_151)) _let_152 :args (_let_150 false _let_17)) :args (_let_112 false _let_16 false _let_150)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_110 _let_117 (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_5 _let_143 _let_118 (not _let_144)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_52 _let_142 (not _let_147)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_148)) _let_149 :args (_let_147 false _let_24)) :args (_let_142 false _let_16 false _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.abnormal K) true))))) :args _let_145)) _let_146 :args (_let_144 false _let_26)) :args (_let_118 true _let_5 false _let_142 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_127 _let_125 _let_116 (not _let_128)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_52 _let_126 (not _let_139)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_140)) _let_141 :args (_let_139 false _let_18)) :args (_let_126 false _let_16 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_132 _let_134 _let_124 (not _let_135)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_52 _let_133 (not _let_136)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_137)) _let_138 :args (_let_136 false _let_20)) :args (_let_133 false _let_16 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_10 _let_123 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_129)) _let_130 :args (_let_135 false _let_35)) :args (_let_124 false _let_11 false _let_133 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_123 _let_115 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_129)) _let_130 :args (_let_128 false _let_35)) :args (_let_116 false _let_126 false _let_124 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.not_ok K) false))))) :args _let_121)) _let_122 :args (_let_120 false _let_27)) :args (_let_110 false _let_118 false _let_116 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_109 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_114 false _let_34)) :args (_let_40 false _let_112 false _let_110 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_76 _let_43 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_52 _let_77 (not _let_106)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_107)) _let_108 :args (_let_106 false _let_19)) :args (_let_77 false _let_16 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_75 _let_85 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_2 _let_99 _let_86 (not _let_100)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_52 _let_98 (not _let_103)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_104)) _let_105 :args (_let_103 false _let_23)) :args (_let_98 false _let_16 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.abnormal K) true))))) :args _let_101)) _let_102 :args (_let_100 false _let_28)) :args (_let_86 true _let_2 false _let_98 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_91 _let_93 _let_84 (not _let_94)))) (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_52 _let_92 (not _let_95)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_96)) _let_97 :args (_let_95 false _let_22)) :args (_let_92 false _let_16 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_14 _let_83 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_94 false _let_34)) :args (_let_84 false _let_15 false _let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.or_ok K) false))))) :args _let_89)) _let_90 :args (_let_88 false _let_29)) :args (_let_75 false _let_86 false _let_84 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_74 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_79 false _let_34)) :args (_let_43 false _let_77 false _let_75 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_59 _let_62 _let_60 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_70 _let_69 (not _let_71)))) (ASSUME :args (_let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.zero P) false))))) :args _let_72)) _let_73 :args (_let_71 false _let_32)) :args (_let_69 false _let_13 false _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_52 _let_61 (not _let_66)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_21)) :args (_let_61 false _let_16 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_12 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.connection P1 P2) false))))) :args _let_64)) _let_65 :args (_let_63 false _let_33)) :args (_let_60 true _let_59 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.and_ok K) false))))) :args _let_57)) _let_58 :args (_let_46 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_8 _let_48 _let_36 (not _let_49)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_47 (not _let_53)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.h QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.halfadder X) false))))) :args _let_54)) _let_55 :args (_let_53 false _let_25)) :args (_let_47 false _let_16 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.abnormal K) true))))) :args _let_50)) _let_51 :args (_let_49 false _let_30)) :args (_let_36 true _let_8 false _let_47 false _let_49)) :args (false false _let_40 false _let_43 true _let_38 false _let_46 false _let_36)) :args (_let_35 _let_34 (forall ((P1 $$unsorted) (P2 $$unsorted)) (or (not (tptp.connection P1 P2)) (not (tptp.zero P2)) (tptp.zero P1))) _let_33 _let_32 (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.zero (tptp.in1 K))) (tptp.zero (tptp.out1 K)))) (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.zero (tptp.in2 K))) (tptp.zero (tptp.out1 K)))) _let_31 (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.zero (tptp.out1 K))) (tptp.zero (tptp.in1 K)) (tptp.zero (tptp.in2 K)))) (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.one (tptp.out1 K))) (tptp.one (tptp.in1 K)))) (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.one (tptp.out1 K))) (tptp.one (tptp.in2 K)))) (forall ((K $$unsorted)) (or (not (tptp.and_ok K)) (not (tptp.abnormal K)))) _let_30 _let_29 (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.one (tptp.in2 K))) (tptp.one (tptp.out1 K)))) (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.zero (tptp.in1 K))) (not (tptp.zero (tptp.in2 K))) (tptp.zero (tptp.out1 K)))) (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.one (tptp.out1 K))) (tptp.one (tptp.in1 K)) (tptp.one (tptp.in2 K)))) (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.zero (tptp.out1 K))) (tptp.zero (tptp.in1 K)))) (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.zero (tptp.out1 K))) (tptp.zero (tptp.in2 K)))) (forall ((K $$unsorted)) (or (not (tptp.or_ok K)) (not (tptp.abnormal K)))) _let_28 _let_27 (forall ((K $$unsorted)) (or (not (tptp.not_ok K)) (not (tptp.one (tptp.in1 K))) (tptp.zero (tptp.out1 K)))) (forall ((K $$unsorted)) (or (not (tptp.not_ok K)) (not (tptp.zero (tptp.out1 K))) (tptp.one (tptp.in1 K)))) (forall ((K $$unsorted)) (or (not (tptp.not_ok K)) (not (tptp.one (tptp.out1 K))) (tptp.zero (tptp.in1 K)))) (forall ((K $$unsorted)) (or (not (tptp.not_ok K)) (not (tptp.abnormal K)))) _let_26 _let_25 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.logic_and (tptp.and2 X)))) _let_24 _let_23 _let_22 (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.in2 X) (tptp.in2 (tptp.or1 X))))) (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.in1 X) (tptp.in1 (tptp.and2 X))))) (forall ((X $$unsorted)) (or (not (tptp.halfadder X)) (tptp.connection (tptp.in2 X) (tptp.in2 (tptp.and2 X))))) _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (tptp.zero (tptp.in2 tptp.h)) _let_13 _let_11 _let_9 _let_6 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.57 )
% 0.23/0.57 % SZS output end Proof for HWV005-2
% 0.23/0.57 % cvc5---1.0.5 exiting
% 0.23/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------