TSTP Solution File: NUM842+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM842+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 10:48:24 EDT 2023
% Result : Theorem 0.21s 0.66s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM842+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n015.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 : Fri Aug 25 08:09:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2C0CMTG3SA/cvc5---1.0.5_19264.p...
% 0.21/0.66 ------- get file name : TPTP file name is NUM842+1
% 0.21/0.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19264.smt2...
% 0.21/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.66 % SZS status Theorem for NUM842+1
% 0.21/0.66 % SZS output start Proof for NUM842+1
% 0.21/0.66 (
% 0.21/0.66 (let ((_let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))))) (let ((_let_2 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (exists ((Vd196 $$unsorted)) (= Vd194 (tptp.vplus Vd193 Vd196))))))) (let ((_let_3 (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (exists ((Vd201 $$unsorted)) (= Vd198 (tptp.vplus Vd199 Vd201))))))) (let ((_let_4 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))))) (let ((_let_5 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd203 Vd204) (tptp.greater Vd203 Vd204) (tptp.less Vd203 Vd204))))) (let ((_let_6 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (tptp.greater Vd208 Vd209) (tptp.less Vd209 Vd208))))) (let ((_let_7 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (tptp.less Vd226 Vd227) (tptp.greater Vd227 Vd226))))) (let ((_let_8 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd245 Vd244)))))) (let ((_let_9 (forall ((Vd254 $$unsorted) (Vd255 $$unsorted)) (=> (tptp.geq Vd254 Vd255) (tptp.leq Vd255 Vd254))))) (let ((_let_10 (forall ((Vd281 $$unsorted) (Vd282 $$unsorted) (Vd283 $$unsorted)) (=> (or (and (tptp.less Vd282 Vd283) (tptp.leq Vd281 Vd282)) (and (tptp.leq Vd282 Vd283) (tptp.less Vd281 Vd282))) (tptp.less Vd281 Vd283))))) (let ((_let_11 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.greater Vd301 Vd302) (tptp.greater (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_12 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (tptp.less Vd301 Vd302) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_13 (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.less (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.less Vd328 Vd329))))) (let ((_let_14 (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (=> (and (tptp.greater Vd340 Vd341) (tptp.greater Vd337 Vd338)) (tptp.greater (tptp.vplus Vd337 Vd340) (tptp.vplus Vd338 Vd341)))))) (let ((_let_15 (tptp.greater tptp.vd353 tptp.vd354))) (let ((_let_16 (tptp.geq tptp.vd355 tptp.vd356))) (let ((_let_17 (and _let_16 _let_15))) (let ((_let_18 (tptp.geq tptp.vd353 tptp.vd354))) (let ((_let_19 (tptp.greater tptp.vd355 tptp.vd356))) (let ((_let_20 (and _let_19 _let_18))) (let ((_let_21 (or _let_20 _let_17))) (let ((_let_22 (tptp.vplus tptp.vd354 tptp.vd356))) (let ((_let_23 (tptp.vplus tptp.vd353 tptp.vd355))) (let ((_let_24 (tptp.greater _let_23 _let_22))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.vplus tptp.vd356 tptp.vd354))) (let ((_let_27 (= _let_22 _let_26))) (let ((_let_28 (tptp.vplus tptp.vd355 tptp.vd354))) (let ((_let_29 (tptp.vplus tptp.vd354 tptp.vd355))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (tptp.greater _let_28 _let_26))) (let ((_let_32 (= _let_23 _let_22))) (let ((_let_33 (tptp.greater _let_29 _let_23))) (let ((_let_34 (_let_1))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.vplus Vd79 Vd78)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.vd356 tptp.vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_27 false _let_1)))) (let ((_let_38 (not _let_19))) (let ((_let_39 (or _let_38 _let_31))) (let ((_let_40 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (or (not (tptp.greater Vd301 Vd302)) (tptp.greater (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.vd355 tptp.vd356 tptp.vd354 QUANTIFIERS_INST_E_MATCHING ((tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)))) (let ((_let_43 (= tptp.vd355 tptp.vd356))) (let ((_let_44 (tptp.less _let_22 _let_23))) (let ((_let_45 (tptp.less _let_22 (tptp.vplus tptp.vd353 tptp.vd356)))) (let ((_let_46 (tptp.less tptp.vd354 tptp.vd353))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (not _let_15))) (let ((_let_50 (or _let_49 _let_46))) (let ((_let_51 (not _let_20))) (let ((_let_52 (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_19 _let_51))))) (let ((_let_53 (or _let_19 _let_43))) (let ((_let_54 (= _let_16 _let_53))) (let ((_let_55 (ASSUME :args (_let_21)))) (let ((_let_56 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (tptp.geq Vd245 Vd244) (or (tptp.greater Vd245 Vd244) (= Vd244 Vd245)))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.geq Vd245 Vd244)))) (let ((_let_60 (not _let_17))) (let ((_let_61 (not _let_44))) (let ((_let_62 (or _let_61 _let_24))) (let ((_let_63 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (or (not (tptp.less Vd226 Vd227)) (tptp.greater Vd227 Vd226))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (ASSUME :args (_let_25)))) (let ((_let_66 (not _let_45))) (let ((_let_67 (not _let_43))) (let ((_let_68 (or))) (let ((_let_69 (ASSUME :args (_let_61)))) (let ((_let_70 (APPLY_UF tptp.vplus))) (let ((_let_71 (ASSUME :args (_let_43)))) (let ((_let_72 (ASSUME :args (_let_45)))) (let ((_let_73 (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_15 _let_60))))) (let ((_let_74 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (or (not (tptp.less Vd301 Vd302)) (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (tptp.greater Vd208 Vd209)) (tptp.less Vd209 Vd208))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_46 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.vd353 tptp.vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd208 Vd209) false))))) :args _let_78)) _let_77 :args (_let_50 false _let_76)) (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_45 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.vd354 tptp.vd353 tptp.vd356 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)) true))))) :args (_let_74))) _let_75 :args (_let_48 false _let_74)) _let_73 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_69 _let_71 _let_72) :args (_let_43 _let_61 _let_45)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_72)) (CONG (REFL :args (_let_22)) (CONG (REFL :args (tptp.vd353)) (SYMM _let_71) :args _let_70) :args (APPLY_UF tptp.less)) (FALSE_INTRO _let_69))) :args (_let_61 _let_43 _let_45)) :args ((not (and _let_43 _let_61 _let_45)) SB_LITERAL))) (CONG (REFL :args (_let_67)) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_44))) (REFL :args (_let_66)) :args _let_68)) :args ((or _let_44 _let_67 _let_66))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_24 _let_61 (not _let_62)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_22 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd227 Vd226) true))))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_61 true _let_24 false _let_62)) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_17 0)) :args ((or _let_16 _let_60))) (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or (not _let_16) _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.vd356 tptp.vd355 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58))) _let_57 :args (_let_54 false _let_56)) _let_55 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_19 _let_43 (not _let_53)))) _let_52 :args (_let_53 true _let_16 false _let_54 false _let_17 true _let_53 true _let_20)) _let_52 :args (_let_19 false _let_50 true _let_46 false _let_48 false _let_15 true _let_45 true _let_44 false _let_17 false _let_43 true _let_20)))) (let ((_let_80 (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_31 (not _let_39)))))) (let ((_let_81 (tptp.less _let_23 _let_22))) (let ((_let_82 (or _let_32 _let_24 _let_81))) (let ((_let_83 (_let_5))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (forall ((Vd201 $$unsorted)) (not (= (tptp.vplus tptp.vd354 tptp.vd356) (tptp.vplus (tptp.vplus tptp.vd353 tptp.vd355) Vd201)))))) (let ((_let_86 (not _let_85))) (let ((_let_87 (= _let_81 _let_86))) (let ((_let_88 (not _let_81))) (let ((_let_89 (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (tptp.less Vd199 Vd198) (not (forall ((Vd201 $$unsorted)) (not (= Vd198 (tptp.vplus Vd199 Vd201))))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (= _let_22 (tptp.vplus _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_92 (not _let_91))) (let ((_let_93 (forall ((Vd196 $$unsorted)) (not (= tptp.vd355 (tptp.vplus tptp.vd356 Vd196)))))) (let ((_let_94 (not _let_93))) (let ((_let_95 (= _let_19 _let_94))) (let ((_let_96 (or _let_38 _let_49 _let_24))) (let ((_let_97 (= tptp.vd355 (tptp.vplus tptp.vd356 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_98 (= tptp.vd353 tptp.vd354))) (let ((_let_99 (or _let_15 _let_98))) (let ((_let_100 (= _let_18 _let_99))) (let ((_let_101 (= _let_23 (tptp.vplus tptp.vd355 tptp.vd353)))) (let ((_let_102 (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (tptp.greater Vd194 Vd193) (not (forall ((Vd196 $$unsorted)) (not (= Vd194 (tptp.vplus Vd193 Vd196))))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (or (not (tptp.greater Vd340 Vd341)) (not (tptp.greater Vd337 Vd338)) (tptp.greater (tptp.vplus Vd337 Vd340) (tptp.vplus Vd338 Vd341)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.vd353 tptp.vd354 tptp.vd355 tptp.vd356 QUANTIFIERS_INST_E_MATCHING ((tptp.vplus Vd337 Vd340) (tptp.vplus Vd338 Vd341)))) :args (_let_104))) _let_105 :args (_let_96 false _let_104)))) (let ((_let_107 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_24 _let_38 _let_49 (not _let_96)))))) (let ((_let_108 (_let_97))) (let ((_let_109 (not _let_97))) (let ((_let_110 (_let_94))) (let ((_let_111 (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_18 _let_51))))) (let ((_let_112 (not _let_18))) (let ((_let_113 (not _let_31))) (let ((_let_114 (not _let_27))) (let ((_let_115 (APPLY_UF tptp.greater))) (let ((_let_116 (_let_91))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (REFL :args (_let_23)))) (let ((_let_119 (ASSUME :args (_let_27)))) (let ((_let_120 (SYMM _let_119))) (let ((_let_121 (ASSUME :args (_let_101)))) (let ((_let_122 (ASSUME :args (_let_98)))) (let ((_let_123 (ASSUME :args _let_108))) (let ((_let_124 (ASSUME :args (_let_31)))) (let ((_let_125 (TRUE_INTRO _let_124))) (let ((_let_126 (_let_86))) (let ((_let_127 (tptp.less _let_23 _let_29))) (let ((_let_128 (not _let_33))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (tptp.less tptp.vd353 tptp.vd354))) (let ((_let_131 (not _let_127))) (let ((_let_132 (or _let_131 _let_130))) (let ((_let_133 (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (or (not (tptp.less (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330))) (tptp.less Vd328 Vd329))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (tptp.leq tptp.vd354 tptp.vd353))) (let ((_let_136 (not _let_135))) (let ((_let_137 (not _let_130))) (let ((_let_138 (or _let_137 _let_136))) (let ((_let_139 (and _let_138 (or (not (tptp.leq tptp.vd353 tptp.vd354)) _let_47)))) (let ((_let_140 (tptp.less tptp.vd354 tptp.vd354))) (let ((_let_141 (or _let_139 _let_140))) (let ((_let_142 (forall ((Vd281 $$unsorted) (Vd282 $$unsorted) (Vd283 $$unsorted)) (or (and (or (not (tptp.less Vd282 Vd283)) (not (tptp.leq Vd281 Vd282))) (or (not (tptp.leq Vd282 Vd283)) (not (tptp.less Vd281 Vd282)))) (tptp.less Vd281 Vd283))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (forall ((Vd204 $$unsorted)) (not (tptp.less Vd204 Vd204))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (or _let_112 _let_135))) (let ((_let_147 (forall ((Vd254 $$unsorted) (Vd255 $$unsorted)) (or (not (tptp.geq Vd254 Vd255)) (tptp.leq Vd255 Vd254))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (and _let_32 _let_27 _let_31 _let_30))) (let ((_let_150 (ASSUME :args (_let_32)))) (let ((_let_151 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_119 _let_150 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_151)) _let_118 :args _let_115) (CONG (REFL :args (_let_28)) (TRANS (SYMM (SYMM _let_150)) (SYMM _let_120)) :args _let_115) _let_125)) :args (_let_31 _let_27 _let_32 _let_30))) :args (_let_32 _let_27 _let_31 _let_30))) :args (true _let_149)) :args ((or (not _let_32) _let_114 _let_33 _let_113 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_127 _let_128 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_130 _let_131 (not _let_132)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_136 _let_137 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_112 _let_135 (not _let_146)))) (MACRO_RESOLUTION_TRUST _let_111 (MACRO_RESOLUTION_TRUST _let_55 (MACRO_RESOLUTION_TRUST _let_73 (MACRO_RESOLUTION_TRUST _let_107 _let_65 _let_79 _let_106 :args (_let_49 true _let_24 false _let_19 false _let_96)) :args (_let_60 true _let_15)) :args (_let_20 true _let_17)) :args (_let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (tptp.vd353 tptp.vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.geq Vd254 Vd255) false))))) :args (_let_147))) _let_148 :args (_let_146 false _let_147)) :args (_let_135 false _let_18 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_139 0)) :args ((or _let_138 (not _let_139)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_139 _let_140 (not _let_141)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd204 Vd204) false))))) :args (_let_144))) _let_145 :args ((not _let_140) false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.vd354 tptp.vd353 tptp.vd354 QUANTIFIERS_INST_E_MATCHING ((tptp.less Vd282 Vd283) (tptp.leq Vd281 Vd282)))) :args (_let_142))) _let_143 :args (_let_141 false _let_142)) :args (_let_139 true _let_140 false _let_141)) :args (_let_138 false _let_139)) :args (_let_137 false _let_135 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.vd353 tptp.vd354 tptp.vd355 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) false))))) :args (_let_133))) _let_134 :args (_let_132 false _let_133)) :args (_let_131 true _let_130 false _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_29 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less Vd209 Vd208) true))))) :args _let_78)) _let_77 :args (_let_129 false _let_76)) :args (_let_128 true _let_127 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_24 _let_32 _let_81 (not _let_82)))) _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_87)) :args ((or _let_88 _let_86 (not _let_87)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_126)) :args _let_126) (REWRITE :args ((=> _let_86 (not _let_92)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) (REFL :args _let_116) :args _let_68)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_65 _let_117 _let_121 _let_123 _let_122 _let_119 _let_124) :args (_let_25 _let_98 _let_101 _let_27 _let_91 _let_97 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_125) (CONG (TRANS (CONG _let_123 (REFL :args (tptp.vd354)) :args _let_70) (CONG (SYMM _let_123) (SYMM _let_122) :args _let_70) (SYMM _let_121)) (TRANS _let_120 _let_117) :args _let_115) (CONG _let_118 (SYMM _let_117) :args _let_115) (FALSE_INTRO _let_65))) :args (_let_25 _let_91 _let_101 _let_97 _let_98 _let_27 _let_31)) :args ((not (and _let_25 _let_98 _let_101 _let_27 _let_91 _let_97 _let_31)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args ((not _let_98))) (REFL :args ((not _let_101))) (REFL :args (_let_114)) (REFL :args (_let_92)) (REFL :args (_let_109)) (REFL :args (_let_113)) :args _let_68)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.vd355 tptp.vd353 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args (_let_101 false _let_1)) _let_65 (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_15 _let_98 (not _let_99)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_100)) :args ((or _let_112 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.vd354 tptp.vd353 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58))) _let_57 :args (_let_100 false _let_56)) _let_111 _let_55 _let_73 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_94 (not _let_109)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) (REFL :args _let_108) :args _let_68)) _let_80 _let_42 _let_107 _let_106 _let_65 (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or _let_38 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.vd356 tptp.vd355 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater Vd194 Vd193)))) :args (_let_102))) _let_103 :args (_let_95 false _let_102)) :args ((or _let_38 _let_92) false _let_27 false _let_101 true _let_24 false _let_98 false _let_99 false _let_100 false _let_18 false _let_20 true _let_17 false _let_97 false _let_31 false _let_39 true _let_15 false _let_96 true _let_24 true _let_93 false _let_95)) _let_79 :args (_let_92 false _let_19)) :args (_let_85 true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_22 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.less Vd199 Vd198)))) :args (_let_89))) _let_90 :args (_let_87 false _let_89)) :args (_let_88 false _let_85 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater Vd203 Vd204) true))))) :args _let_83)) _let_84 :args (_let_82 false _let_5)) :args (_let_32 true _let_24 true _let_81 false _let_82)) (MACRO_RESOLUTION_TRUST _let_80 _let_79 _let_42 :args (_let_31 false _let_19 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.vd354 tptp.vd355 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34))) _let_35 :args (_let_30 false _let_1)) _let_37 :args (false true _let_33 false _let_32 false _let_31 false _let_30 false _let_27)) :args (_let_25 _let_21 _let_14 _let_13 (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (= (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (= Vd328 Vd329))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (tptp.greater (tptp.vplus Vd328 Vd330) (tptp.vplus Vd329 Vd330)) (tptp.greater Vd328 Vd329))) _let_12 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (= Vd301 Vd302) (= (tptp.vplus Vd301 Vd303) (tptp.vplus Vd302 Vd303)))) _let_11 (forall ((Vd295 $$unsorted) (Vd296 $$unsorted)) (tptp.greater (tptp.vplus Vd295 Vd296) Vd295)) (forall ((Vd289 $$unsorted) (Vd290 $$unsorted) (Vd292 $$unsorted)) (=> (and (tptp.leq Vd290 Vd292) (tptp.leq Vd289 Vd290)) (tptp.leq Vd289 Vd292))) _let_10 (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (=> (and (tptp.less Vd263 Vd265) (tptp.less Vd262 Vd263)) (tptp.less Vd262 Vd265))) (forall ((Vd258 $$unsorted) (Vd259 $$unsorted)) (=> (tptp.leq Vd258 Vd259) (tptp.geq Vd259 Vd258))) _let_9 (forall ((Vd249 $$unsorted) (Vd250 $$unsorted)) (= (tptp.leq Vd250 Vd249) (or (tptp.less Vd250 Vd249) (= Vd250 Vd249)))) _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (tptp.greater Vd203 Vd204)) (not (tptp.less Vd203 Vd204)))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (tptp.greater Vd203 Vd204)))) _let_3 _let_2 (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (= Vd120 Vd121) (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123))) (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))) (not (exists ((Vd125 $$unsorted)) (= Vd121 (tptp.vplus Vd120 Vd125)))))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd123 $$unsorted)) (= Vd120 (tptp.vplus Vd121 Vd123)))))) (forall ((Vd104 $$unsorted) (Vd105 $$unsorted)) (=> (not (= Vd104 Vd105)) (forall ((Vd107 $$unsorted)) (not (= (tptp.vplus Vd107 Vd104) (tptp.vplus Vd107 Vd105)))))) (forall ((Vd92 $$unsorted) (Vd93 $$unsorted)) (not (= Vd93 (tptp.vplus Vd92 Vd93)))) _let_1 (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (tptp.vplus (tptp.vsucc Vd68) Vd69) (tptp.vsucc (tptp.vplus Vd68 Vd69)))) (forall ((Vd59 $$unsorted)) (= (tptp.vplus tptp.v1 Vd59) (tptp.vsucc Vd59))) (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (tptp.vplus (tptp.vplus Vd46 Vd47) Vd48) (tptp.vplus Vd46 (tptp.vplus Vd47 Vd48)))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (tptp.vplus Vd42 (tptp.vsucc Vd43)) (tptp.vsucc (tptp.vplus Vd42 Vd43))) (= (tptp.vplus Vd42 tptp.v1) (tptp.vsucc Vd42)))) (forall ((Vd24 $$unsorted)) (=> (not (= Vd24 tptp.v1)) (= Vd24 (tptp.vsucc (tptp.vskolem2 Vd24))))) (forall ((Vd16 $$unsorted)) (not (= (tptp.vsucc Vd16) Vd16))) (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (=> (not (= Vd7 Vd8)) (not (= (tptp.vsucc Vd7) (tptp.vsucc Vd8))))) (forall ((Vd3 $$unsorted) (Vd4 $$unsorted)) (=> (= (tptp.vsucc Vd3) (tptp.vsucc Vd4)) (= Vd3 Vd4))) (forall ((Vd1 $$unsorted)) (not (= (tptp.vsucc Vd1) tptp.v1))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.66 )
% 0.21/0.66 % SZS output end Proof for NUM842+1
% 0.21/0.66 % cvc5---1.0.5 exiting
% 0.21/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------