TSTP Solution File: ROB015-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ROB015-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:07:36 EDT 2023
% Result : Unsatisfiable 0.21s 0.62s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ROB015-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:37:49 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CReRYYtdA2/cvc5---1.0.5_3999.p...
% 0.21/0.50 ------- get file name : TPTP file name is ROB015-10
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3999.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.62 % SZS status Unsatisfiable for ROB015-10
% 0.21/0.62 % SZS output start Proof for ROB015-10
% 0.21/0.63 (
% 0.21/0.63 (let ((_let_1 (= tptp.a tptp.b))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.negate tptp.e))) (let ((_let_4 (tptp.add tptp.d _let_3))) (let ((_let_5 (tptp.negate _let_4))) (let ((_let_6 (tptp.add tptp.d _let_5))) (let ((_let_7 (tptp.successor tptp.k))) (let ((_let_8 (tptp.negate (tptp.add tptp.e (tptp.multiply _let_7 _let_6))))) (let ((_let_9 (tptp.ifeq3 _let_8 _let_3 tptp.a tptp.b))) (let ((_let_10 (= _let_9 tptp.b))) (let ((_let_11 (tptp.negate (tptp.add tptp.e (tptp.multiply tptp.k _let_6))))) (let ((_let_12 (tptp.positive_integer tptp.k))) (let ((_let_13 (= _let_12 tptp.true))) (let ((_let_14 (tptp.add _let_3 _let_5))) (let ((_let_15 (tptp.negate _let_14))) (let ((_let_16 (= _let_15 tptp.d))) (let ((_let_17 (forall ((Vk $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ifeq2 (tptp.positive_integer Vk) tptp.true (tptp.ifeq4 (tptp.negate (tptp.add X (tptp.negate Y))) Z (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X Z)))))) Z) Z) Z)))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ifeq4 (tptp.negate (tptp.add X (tptp.negate (tptp.add Y Z)))) (tptp.negate (tptp.add Y (tptp.negate (tptp.add X Z)))) X Y) Y)))) (let ((_let_19 (forall ((X $$unsorted)) (= (tptp.ifeq (tptp.positive_integer X) tptp.true (tptp.positive_integer (tptp.successor X)) tptp.true) tptp.true)))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq3 A A B C) B)))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq4 A A B C) B)))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq3 A A B C))))) (let ((_let_26 (= tptp.a (tptp.ifeq3 _let_3 _let_3 tptp.a tptp.b)))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (tptp.negate (tptp.add _let_8 _let_15)))) (let ((_let_29 (= _let_3 (tptp.ifeq4 _let_28 _let_28 _let_3 _let_8)))) (let ((_let_30 (tptp.negate (tptp.add _let_11 _let_15)))) (let ((_let_31 (= _let_3 (tptp.ifeq4 _let_30 _let_30 _let_3 _let_11)))) (let ((_let_32 (= _let_8 (tptp.ifeq4 (tptp.negate (tptp.add _let_3 (tptp.negate (tptp.add _let_8 _let_5)))) _let_28 _let_3 _let_8)))) (let ((_let_33 (= _let_11 (tptp.ifeq4 (tptp.negate (tptp.add _let_3 (tptp.negate (tptp.add _let_11 _let_5)))) _let_30 _let_3 _let_11)))) (let ((_let_34 (tptp.add _let_5 tptp.d))) (let ((_let_35 (tptp.negate (tptp.add tptp.e (tptp.multiply _let_7 _let_34))))) (let ((_let_36 (tptp.add _let_5 _let_35))) (let ((_let_37 (= _let_36 (tptp.add _let_35 _let_5)))) (let ((_let_38 (tptp.negate (tptp.add tptp.e (tptp.multiply tptp.k _let_34))))) (let ((_let_39 (tptp.add _let_5 _let_38))) (let ((_let_40 (= _let_39 (tptp.add _let_38 _let_5)))) (let ((_let_41 (tptp.negate _let_36))) (let ((_let_42 (tptp.add _let_5 _let_3))) (let ((_let_43 (tptp.negate _let_42))) (let ((_let_44 (tptp.ifeq4 _let_43 tptp.d _let_41 tptp.d))) (let ((_let_45 (= _let_44 (tptp.ifeq2 tptp.true tptp.true _let_44 tptp.d)))) (let ((_let_46 (tptp.negate _let_39))) (let ((_let_47 (tptp.ifeq4 _let_43 tptp.d _let_46 tptp.d))) (let ((_let_48 (= _let_47 (tptp.ifeq2 tptp.true tptp.true _let_47 tptp.d)))) (let ((_let_49 (tptp.add tptp.d _let_8))) (let ((_let_50 (tptp.negate _let_49))) (let ((_let_51 (tptp.ifeq4 _let_5 _let_5 _let_50 _let_5))) (let ((_let_52 (= _let_51 (tptp.ifeq2 tptp.true tptp.true _let_51 _let_5)))) (let ((_let_53 (= _let_41 (tptp.ifeq4 tptp.d tptp.d _let_41 tptp.d)))) (let ((_let_54 (= _let_46 (tptp.ifeq4 tptp.d tptp.d _let_46 tptp.d)))) (let ((_let_55 (tptp.positive_integer _let_7))) (let ((_let_56 (= tptp.d (tptp.ifeq2 _let_55 tptp.true _let_44 tptp.d)))) (let ((_let_57 (= tptp.d (tptp.ifeq2 _let_12 tptp.true _let_47 tptp.d)))) (let ((_let_58 (= _let_49 (tptp.add _let_8 tptp.d)))) (let ((_let_59 (tptp.add tptp.d _let_11))) (let ((_let_60 (= _let_59 (tptp.add _let_11 tptp.d)))) (let ((_let_61 (= _let_55 (tptp.ifeq tptp.true tptp.true _let_55 tptp.true)))) (let ((_let_62 (tptp.negate _let_59))) (let ((_let_63 (tptp.ifeq4 _let_5 _let_5 _let_62 _let_5))) (let ((_let_64 (= _let_63 (tptp.ifeq2 tptp.true tptp.true _let_63 _let_5)))) (let ((_let_65 (= _let_50 _let_51))) (let ((_let_66 (= _let_62 _let_63))) (let ((_let_67 (= _let_5 (tptp.ifeq2 _let_55 tptp.true _let_51 _let_5)))) (let ((_let_68 (= _let_5 (tptp.ifeq2 _let_12 tptp.true _let_63 _let_5)))) (let ((_let_69 (= tptp.true (tptp.ifeq _let_12 tptp.true _let_55 tptp.true)))) (let ((_let_70 (= _let_14 _let_42))) (let ((_let_71 (= _let_6 _let_34))) (let ((_let_72 (= _let_4 (tptp.add _let_3 tptp.d)))) (let ((_let_73 (= tptp.b _let_9))) (let ((_let_74 (= tptp.true _let_12))) (let ((_let_75 (= tptp.d _let_15))) (let ((_let_76 (not _let_26))) (let ((_let_77 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq4 A A B C))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.ifeq4 A A B C)))) (let ((_let_81 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.ifeq4 (tptp.negate (tptp.add X (tptp.negate (tptp.add Y Z)))) (tptp.negate (tptp.add Y (tptp.negate (tptp.add X Z)))) X Y))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.add Y (tptp.negate (tptp.add X Z)))))) (let ((_let_85 (_let_20))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.add X Y)))) (let ((_let_88 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.ifeq2 A A B C)))) (let ((_let_92 (forall ((Vk $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Z (tptp.ifeq2 (tptp.positive_integer Vk) tptp.true (tptp.ifeq4 (tptp.negate (tptp.add X (tptp.negate Y))) Z (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X Z)))))) Z) Z))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.add Y (tptp.multiply Vk (tptp.add X Z)))))) (let ((_let_96 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (forall ((X $$unsorted)) (= tptp.true (tptp.ifeq (tptp.positive_integer X) tptp.true (tptp.positive_integer (tptp.successor X)) tptp.true))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (SYMM (ASSUME :args (_let_10))))) (let ((_let_101 (SYMM (ASSUME :args (_let_13))))) (let ((_let_102 (SYMM (ASSUME :args (_let_16))))) (let ((_let_103 (ASSUME :args (_let_2)))) (let ((_let_104 (and _let_2 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_61 _let_60 _let_58 _let_57 _let_56 _let_54 _let_53 _let_52 _let_48 _let_45 _let_40 _let_37 _let_33 _let_32 _let_31 _let_29))) (let ((_let_105 (REFL :args (tptp.a)))) (let ((_let_106 (REFL :args (_let_3)))) (let ((_let_107 (ASSUME :args (_let_32)))) (let ((_let_108 (APPLY_UF tptp.ifeq4))) (let ((_let_109 (REFL :args (_let_8)))) (let ((_let_110 (APPLY_UF tptp.negate))) (let ((_let_111 (APPLY_UF tptp.add))) (let ((_let_112 (REFL :args (_let_5)))) (let ((_let_113 (APPLY_UF tptp.multiply))) (let ((_let_114 (ASSUME :args (_let_71)))) (let ((_let_115 (REFL :args (tptp.e)))) (let ((_let_116 (ASSUME :args (_let_37)))) (let ((_let_117 (ASSUME :args (_let_53)))) (let ((_let_118 (REFL :args (tptp.d)))) (let ((_let_119 (SYMM _let_102))) (let ((_let_120 (ASSUME :args (_let_70)))) (let ((_let_121 (TRANS (CONG (SYMM _let_120) :args _let_110) _let_119))) (let ((_let_122 (ASSUME :args (_let_45)))) (let ((_let_123 (APPLY_UF tptp.ifeq2))) (let ((_let_124 (REFL :args (tptp.true)))) (let ((_let_125 (SYMM _let_101))) (let ((_let_126 (ASSUME :args (_let_69)))) (let ((_let_127 (ASSUME :args (_let_61)))) (let ((_let_128 (TRANS (TRANS (SYMM (SYMM _let_127)) (CONG _let_101 _let_124 (REFL :args (_let_55)) _let_124 :args (APPLY_UF tptp.ifeq)) (SYMM _let_126) _let_101) _let_125))) (let ((_let_129 (ASSUME :args (_let_56)))) (let ((_let_130 (ASSUME :args (_let_72)))) (let ((_let_131 (SYMM _let_119))) (let ((_let_132 (ASSUME :args (_let_58)))) (let ((_let_133 (ASSUME :args (_let_65)))) (let ((_let_134 (ASSUME :args (_let_52)))) (let ((_let_135 (ASSUME :args (_let_67)))) (let ((_let_136 (ASSUME :args (_let_29)))) (let ((_let_137 (ASSUME :args (_let_31)))) (let ((_let_138 (REFL :args (_let_11)))) (let ((_let_139 (ASSUME :args (_let_60)))) (let ((_let_140 (ASSUME :args (_let_66)))) (let ((_let_141 (ASSUME :args (_let_64)))) (let ((_let_142 (ASSUME :args (_let_68)))) (let ((_let_143 (ASSUME :args (_let_57)))) (let ((_let_144 (ASSUME :args (_let_48)))) (let ((_let_145 (ASSUME :args (_let_54)))) (let ((_let_146 (ASSUME :args (_let_40)))) (let ((_let_147 (CONG (TRANS (CONG (TRANS (CONG _let_106 (TRANS (CONG (TRANS (CONG (CONG (CONG _let_115 (CONG (REFL :args (tptp.k)) _let_114 :args _let_113) :args _let_111) :args _let_110) _let_112 :args _let_111) (SYMM _let_146)) :args _let_110) (SYMM (SYMM _let_145)) (CONG (SYMM _let_121) _let_118 (REFL :args (_let_46)) _let_118 :args _let_108) (SYMM (SYMM _let_144)) (CONG _let_101 _let_124 (REFL :args (_let_47)) _let_118 :args _let_123) (SYMM _let_143)) :args _let_111) (SYMM _let_130)) :args _let_110) (TRANS (SYMM (SYMM _let_142)) (CONG _let_125 _let_124 (REFL :args (_let_63)) _let_112 :args _let_123) (SYMM _let_141) (SYMM _let_140) (CONG (TRANS (SYMM (SYMM _let_139)) (CONG _let_138 _let_131 :args _let_111)) :args _let_110))) (REFL :args (_let_30)) _let_106 _let_138 :args _let_108))) (let ((_let_148 (ASSUME :args (_let_33)))) (let ((_let_149 (SYMM _let_148))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_3 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ifeq3 A A B C)))) :args (_let_25))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_100 _let_107 _let_114 _let_116 _let_117 _let_102 _let_130 _let_120 _let_122 _let_101 _let_126 _let_127 _let_129 _let_132 _let_133 _let_134 _let_135 _let_136 _let_137 _let_139 _let_140 _let_141 _let_142 _let_143 _let_144 _let_145 _let_146 _let_148) (SCOPE (FALSE_ELIM (TRANS (CONG _let_105 (TRANS (CONG (TRANS (TRANS _let_137 (SYMM _let_147) _let_149) (TRANS (SYMM _let_149) _let_147 (SYMM _let_137) (SYMM (SYMM _let_136)) (CONG (TRANS (SYMM (TRANS (SYMM (SYMM _let_135)) (CONG _let_128 _let_124 (REFL :args (_let_51)) _let_112 :args _let_123) (SYMM _let_134) (SYMM _let_133) (CONG (TRANS (SYMM (SYMM _let_132)) (CONG _let_109 _let_131 :args _let_111)) :args _let_110))) (CONG (TRANS _let_130 (CONG _let_106 (TRANS (SYMM (SYMM _let_129)) (CONG _let_128 _let_124 (REFL :args (_let_44)) _let_118 :args _let_123) (SYMM _let_122) (CONG _let_121 _let_118 (REFL :args (_let_41)) _let_118 :args _let_108) (SYMM _let_117) (CONG (TRANS (SYMM (SYMM _let_116)) (CONG (CONG (CONG _let_115 (CONG (REFL :args (_let_7)) (SYMM _let_114) :args _let_113) :args _let_111) :args _let_110) _let_112 :args _let_111)) :args _let_110)) :args _let_111)) :args _let_110)) (REFL :args (_let_28)) _let_106 _let_109 :args _let_108) (SYMM _let_107))) _let_106 _let_105 (REFL :args (tptp.b)) :args (APPLY_UF tptp.ifeq3)) (SYMM _let_100)) :args (=)) (FALSE_INTRO _let_103))) :args (_let_2 _let_73 _let_32 _let_71 _let_37 _let_53 _let_75 _let_72 _let_70 _let_45 _let_74 _let_69 _let_61 _let_56 _let_58 _let_65 _let_52 _let_67 _let_29 _let_31 _let_60 _let_66 _let_64 _let_68 _let_57 _let_48 _let_54 _let_40 _let_33))) :args (_let_2 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_61 _let_60 _let_58 _let_57 _let_56 _let_54 _let_53 _let_52 _let_48 _let_45 _let_40 _let_37 _let_33 _let_32 _let_31 _let_29))) :args (true _let_104)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_75))) (REFL :args ((not _let_74))) (REFL :args ((not _let_73))) (REFL :args ((not _let_72))) (REFL :args ((not _let_71))) (REFL :args ((not _let_70))) (REFL :args ((not _let_69))) (REFL :args ((not _let_68))) (REFL :args ((not _let_67))) (REFL :args ((not _let_66))) (REFL :args ((not _let_65))) (REFL :args ((not _let_64))) (REFL :args ((not _let_61))) (REFL :args ((not _let_60))) (REFL :args ((not _let_58))) (REFL :args ((not _let_57))) (REFL :args ((not _let_56))) (REFL :args ((not _let_54))) (REFL :args ((not _let_53))) (REFL :args ((not _let_52))) (REFL :args ((not _let_48))) (REFL :args ((not _let_45))) (REFL :args ((not _let_40))) (REFL :args ((not _let_37))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_31))) (REFL :args ((not _let_29))) (REFL :args (_let_76)) :args (or))) _let_103 _let_102 _let_101 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.d _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_72 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.d _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_71 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_3 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_70 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.successor X)))) :args (_let_98))) _let_99 :args (_let_69 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.k tptp.d tptp.e _let_5 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_68 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_7 tptp.d tptp.e _let_5 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_67 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_5 _let_62 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_66 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_5 _let_50 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_65 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.true _let_63 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_64 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.true _let_55 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ifeq A A B C)))) :args (_let_96))) _let_97 :args (_let_61 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.d _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_60 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.d _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_58 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.k _let_5 tptp.e tptp.d QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_57 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_7 _let_5 tptp.e tptp.d QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_56 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.d _let_46 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_54 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.d _let_41 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_53 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.true _let_51 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_52 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.true _let_47 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_48 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.true _let_44 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_45 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_5 _let_38 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_40 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_5 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_37 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_3 _let_11 _let_5 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_83)) _let_82 :args (_let_33 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_3 _let_8 _let_5 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_83)) _let_82 :args (_let_32 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_30 _let_3 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_31 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_28 _let_3 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_29 false _let_77)) :args (_let_76 true _let_1 false _let_75 false _let_74 false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_61 false _let_60 false _let_58 false _let_57 false _let_56 false _let_54 false _let_53 false _let_52 false _let_48 false _let_45 false _let_40 false _let_37 false _let_33 false _let_32 false _let_31 false _let_29)) _let_27 :args (false true _let_26 false _let_25)) :args (_let_24 _let_23 _let_22 _let_21 _let_20 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.one X) X)) (forall ((X $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.multiply (tptp.successor V) X))) (= (tptp.ifeq2 (tptp.positive_integer X) tptp.true (tptp.add X (tptp.multiply V X)) _let_1) _let_1))) (= (tptp.positive_integer tptp.one) tptp.true) _let_19 _let_18 _let_17 _let_16 _let_13 (= (tptp.ifeq3 _let_11 _let_3 tptp.a tptp.b) tptp.b) _let_10 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63 )
% 0.21/0.63 % SZS output end Proof for ROB015-10
% 0.21/0.63 % cvc5---1.0.5 exiting
% 0.21/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------