TSTP Solution File: SWV103+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 21:49:19 EDT 2023
% Result : Theorem 0.70s 0.89s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 05:32:00 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.70/0.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Tn6dqrQ65X/cvc5---1.0.5_3478.p...
% 0.70/0.89 ------- get file name : TPTP file name is SWV103+1
% 0.70/0.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3478.smt2...
% 0.70/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.70/0.89 % SZS status Theorem for SWV103+1
% 0.70/0.89 % SZS output start Proof for SWV103+1
% 0.70/0.89 (
% 0.70/0.89 (let ((_let_1 (tptp.succ tptp.n0))) (let ((_let_2 (tptp.succ _let_1))) (let ((_let_3 (tptp.succ _let_2))) (let ((_let_4 (= _let_3 tptp.n3))) (let ((_let_5 (= _let_2 tptp.n2))) (let ((_let_6 (= _let_1 tptp.n1))) (let ((_let_7 (tptp.succ _let_3))) (let ((_let_8 (tptp.succ _let_7))) (let ((_let_9 (= _let_8 tptp.n5))) (let ((_let_10 (= _let_7 tptp.n4))) (let ((_let_11 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n1)) (or (= X tptp.n0) (= X tptp.n1)))))) (let ((_let_12 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n0)) (= X tptp.n0))))) (let ((_let_13 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n5)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5)))))) (let ((_let_14 (tptp.gt tptp.n5 tptp.n3))) (let ((_let_15 (tptp.gt tptp.n4 tptp.n3))) (let ((_let_16 (tptp.gt tptp.n3 tptp.n2))) (let ((_let_17 (tptp.gt tptp.n3 tptp.n1))) (let ((_let_18 (tptp.gt tptp.n5 tptp.n1))) (let ((_let_19 (tptp.gt tptp.n3 tptp.n0))) (let ((_let_20 (tptp.gt tptp.n2 tptp.n0))) (let ((_let_21 (tptp.gt tptp.n1 tptp.n0))) (let ((_let_22 (tptp.tptp_update2 tptp.sigma_defuse tptp.n0 tptp.use))) (let ((_let_23 (tptp.tptp_update2 _let_22 tptp.n1 tptp.use))) (let ((_let_24 (tptp.tptp_update2 _let_23 tptp.n2 tptp.use))) (let ((_let_25 (tptp.tptp_update2 _let_24 tptp.n3 tptp.use))) (let ((_let_26 (tptp.tptp_update2 _let_25 tptp.n4 tptp.use))) (let ((_let_27 (tptp.tptp_update2 _let_26 tptp.n5 tptp.use))) (let ((_let_28 (tptp.a_select2 _let_27 tptp.n5))) (let ((_let_29 (tptp.a_select2 _let_27 tptp.n4))) (let ((_let_30 (tptp.a_select2 _let_27 tptp.n3))) (let ((_let_31 (tptp.a_select2 _let_27 tptp.n2))) (let ((_let_32 (tptp.a_select2 _let_27 tptp.n1))) (let ((_let_33 (tptp.a_select2 _let_27 tptp.n0))) (let ((_let_34 (tptp.a_select2 tptp.xinit_defuse tptp.n5))) (let ((_let_35 (= _let_34 tptp.use))) (let ((_let_36 (tptp.a_select2 tptp.xinit_defuse tptp.n4))) (let ((_let_37 (= _let_36 tptp.use))) (let ((_let_38 (tptp.a_select2 tptp.xinit_defuse tptp.n3))) (let ((_let_39 (= _let_38 tptp.use))) (let ((_let_40 (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0))) (let ((_let_41 (= _let_40 tptp.use))) (let ((_let_42 (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0))) (let ((_let_43 (= _let_42 tptp.use))) (let ((_let_44 (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0))) (let ((_let_45 (= _let_44 tptp.use))) (let ((_let_46 (not (=> (and _let_45 _let_43 _let_41 _let_39 _let_37 _let_35) (and _let_45 _let_43 _let_41 _let_39 _let_37 _let_35 (= _let_33 tptp.use) (= _let_32 tptp.use) (= _let_31 tptp.use) (= _let_30 tptp.use) (= _let_29 tptp.use) (= _let_28 tptp.use)))))) (let ((_let_47 (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq I0 U)) (= (tptp.a_select2 X I0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) I) VAL))))) (let ((_let_48 (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= (tptp.a_select2 X U) VAL)) (= (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U) VAL))))) (let ((_let_49 (forall ((X $$unsorted) (U $$unsorted) (VAL $$unsorted)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) U) VAL)))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.succ X) Y) (tptp.gt Y X))))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq (tptp.succ X) (tptp.succ Y)) (tptp.leq X Y))))) (let ((_let_52 (forall ((X $$unsorted)) (= (tptp.succ (tptp.pred X)) X)))) (let ((_let_53 (forall ((X $$unsorted)) (= (tptp.pred (tptp.succ X)) X)))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.plus X tptp.n4) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.plus tptp.n3 X) (tptp.succ (tptp.succ (tptp.succ X))))))) (let ((_let_56 (forall ((X $$unsorted)) (= (tptp.plus X tptp.n3) (tptp.succ (tptp.succ (tptp.succ X))))))) (let ((_let_57 (forall ((X $$unsorted)) (= (tptp.plus X tptp.n2) (tptp.succ (tptp.succ X)))))) (let ((_let_58 (forall ((X $$unsorted)) (= (tptp.plus tptp.n1 X) (tptp.succ X))))) (let ((_let_59 (tptp.succ tptp.tptp_minus_1))) (let ((_let_60 (= _let_59 tptp.n0))) (let ((_let_61 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X (tptp.pred Y)) (tptp.gt Y X))))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.gt Y X) (tptp.leq X Y))))) (let ((_let_63 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.lt X Y) (tptp.gt Y X))))) (let ((_let_64 (forall ((X $$unsorted)) (not (tptp.gt X X))))) (let ((_let_65 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.gt X Y) (tptp.gt Y Z)) (tptp.gt X Z))))) (let ((_let_66 (= tptp.n0 _let_59))) (let ((_let_67 (= tptp.n1 _let_1))) (let ((_let_68 (= tptp.n1 _let_2))) (let ((_let_69 (tptp.pred tptp.tptp_minus_1))) (let ((_let_70 (tptp.succ _let_69))) (let ((_let_71 (= tptp.tptp_minus_1 _let_70))) (let ((_let_72 (tptp.succ (tptp.succ _let_70)))) (let ((_let_73 (= (tptp.plus _let_69 tptp.n3) _let_72))) (let ((_let_74 (= (tptp.plus _let_69 tptp.n4) (tptp.succ _let_72)))) (let ((_let_75 (= tptp.n3 tptp.n4))) (let ((_let_76 (SYMM (ASSUME :args (_let_60))))) (let ((_let_77 (SYMM (ASSUME :args (_let_6))))) (let ((_let_78 (= tptp.n1 tptp.n2))) (let ((_let_79 (= tptp.n2 _let_2))) (let ((_let_80 (not _let_68))) (let ((_let_81 (= tptp.n0 (tptp.pred _let_1)))) (let ((_let_82 (tptp.pred _let_2))) (let ((_let_83 (= _let_1 _let_82))) (let ((_let_84 (= tptp.n0 tptp.n2))) (let ((_let_85 (not _let_78))) (let ((_let_86 (SYMM (ASSUME :args (_let_5))))) (let ((_let_87 (forall ((X $$unsorted)) (= X (tptp.pred (tptp.succ X)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.succ X)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_81 false _let_87)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_83 false _let_87)))) (let ((_let_93 (= tptp.n5 _let_8))) (let ((_let_94 (= tptp.n3 _let_3))) (let ((_let_95 (= _let_1 (tptp.plus tptp.n1 tptp.n0)))) (let ((_let_96 (= _let_3 (tptp.plus tptp.n1 _let_2)))) (let ((_let_97 (= _let_8 (tptp.plus _let_3 tptp.n2)))) (let ((_let_98 (= _let_3 (tptp.plus tptp.n3 tptp.n0)))) (let ((_let_99 (= tptp.n1 tptp.n5))) (let ((_let_100 (not _let_84))) (let ((_let_101 (SYMM (ASSUME :args (_let_9))))) (let ((_let_102 (SYMM (ASSUME :args (_let_4))))) (let ((_let_103 (_let_58))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.succ X)))) (let ((_let_106 (_let_57))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_55))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (tptp.gt tptp.n1 tptp.n1))) (let ((_let_111 (not _let_99))) (let ((_let_112 (ASSUME :args (_let_18)))) (let ((_let_113 (not _let_110))) (let ((_let_114 (_let_64))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((not (= (tptp.gt X X) false))))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114)) _let_115 :args (_let_113 false _let_64)))) (let ((_let_118 (or))) (let ((_let_119 (not _let_93))) (let ((_let_120 (not _let_18))) (let ((_let_121 (APPLY_UF tptp.gt))) (let ((_let_122 (REFL :args (tptp.n1)))) (let ((_let_123 (SYMM _let_101))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_113)))) (CONG (TRANS (SYMM (SYMM (ASSUME :args (_let_99)))) _let_101) _let_122 :args _let_121) (CONG _let_123 _let_122 :args _let_121) (TRUE_INTRO _let_112))) :args (_let_18 _let_93 _let_99 _let_113))) (CONG (REFL :args (_let_120)) (REFL :args (_let_119)) (REFL :args (_let_111)) (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_110))) :args _let_118)) _let_117 _let_101 _let_112 :args (_let_111 true _let_110 false _let_93 false _let_18)))) (let ((_let_125 (not _let_94))) (let ((_let_126 (not _let_79))) (let ((_let_127 (not _let_67))) (let ((_let_128 (and _let_93 _let_67 _let_79 _let_94 _let_95 _let_96 _let_97 _let_98 _let_84))) (let ((_let_129 (ASSUME :args (_let_97)))) (let ((_let_130 (APPLY_UF tptp.plus))) (let ((_let_131 (SYMM _let_86))) (let ((_let_132 (SYMM _let_102))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (ASSUME :args (_let_84)))) (let ((_let_135 (SYMM (SYMM _let_134)))) (let ((_let_136 (REFL :args (tptp.n3)))) (let ((_let_137 (ASSUME :args (_let_98)))) (let ((_let_138 (ASSUME :args (_let_96)))) (let ((_let_139 (SYMM _let_77))) (let ((_let_140 (ASSUME :args (_let_95)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_101 _let_129 _let_102 _let_86 _let_134 _let_137 _let_138 _let_77 _let_140) (SCOPE (TRANS _let_77 (SYMM (SYMM _let_140)) (CONG _let_77 _let_135 :args _let_130) (CONG _let_139 _let_86 :args _let_130) (SYMM _let_138) (SYMM (SYMM _let_137)) (CONG _let_136 (TRANS _let_135 _let_86) :args _let_130) (CONG _let_133 _let_131 :args _let_130) (SYMM _let_129) _let_123) :args (_let_93 _let_97 _let_94 _let_79 _let_84 _let_98 _let_96 _let_67 _let_95))) :args (_let_93 _let_67 _let_79 _let_94 _let_95 _let_96 _let_97 _let_98 _let_84))) :args (true _let_128)) :args ((or _let_119 _let_127 _let_126 _let_125 _let_99 (not _let_95) (not _let_96) (not _let_97) (not _let_98) _let_100))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING ((tptp.succ (tptp.succ (tptp.succ X)))))) :args _let_108))) _let_109 :args (_let_98 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.succ (tptp.succ X))))) :args _let_106))) _let_107 :args (_let_97 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103))) _let_104 :args (_let_96 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103))) _let_104 :args (_let_95 false _let_58)) _let_102 _let_86 _let_77 _let_101 :args (_let_100 true _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_79 false _let_67 false _let_93)))) (let ((_let_142 (not _let_83))) (let ((_let_143 (not _let_81))) (let ((_let_144 (_let_85))) (let ((_let_145 (REFL :args (_let_126)))) (let ((_let_146 (= tptp.n0 _let_2))) (let ((_let_147 (ASSUME :args (_let_100)))) (let ((_let_148 (SYMM _let_131))) (let ((_let_149 (ASSUME :args (_let_78)))) (let ((_let_150 (SYMM (SYMM _let_149)))) (let ((_let_151 (ASSUME :args (_let_83)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (APPLY_UF tptp.pred))) (let ((_let_154 (ASSUME :args (_let_81)))) (let ((_let_155 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_86 (MODUS_PONENS (AND_INTRO _let_86 _let_149 _let_77 _let_151 _let_154) (SCOPE (TRANS (SYMM (SYMM _let_154)) (CONG _let_139 :args _let_153) (CONG (TRANS _let_150 _let_148) :args _let_153) _let_152 _let_139 _let_150 _let_148) :args (_let_79 _let_78 _let_67 _let_83 _let_81))) _let_147) :args (_let_67 _let_79 _let_81 _let_83 _let_78 _let_100)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_147)) (TRUE_INTRO (TRANS (SYMM (SYMM (ASSUME :args (_let_146)))) _let_131)))) :args (_let_79 _let_146 _let_100)) :args ((not (and _let_67 _let_79 _let_81 _let_83 _let_78 _let_100)) SB_LITERAL))) (CONG (REFL :args (_let_127)) _let_145 (REFL :args (_let_143)) (REFL :args (_let_142)) (REFL :args _let_144) (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_84))) :args _let_118)) :args ((or _let_127 _let_126 _let_143 _let_142 _let_84 _let_85))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST _let_155 _let_141 _let_92 _let_91 _let_86 _let_77 :args (_let_85 true _let_84 false _let_83 false _let_81 false _let_79 false _let_67)))) (let ((_let_157 (and _let_79 _let_85))) (let ((_let_158 (ASSUME :args _let_144))) (let ((_let_159 (=))) (let ((_let_160 (forall ((X $$unsorted)) (= X (tptp.succ (tptp.pred X)))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_56))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (_let_54))) (let ((_let_165 (ASSUME :args _let_164))) (let ((_let_166 (tptp.a_select2 _let_26 tptp.n3))) (let ((_let_167 (tptp.a_select2 _let_25 tptp.n3))) (let ((_let_168 (= _let_167 _let_166))) (let ((_let_169 (or _let_75 _let_168))) (let ((_let_170 (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL2 $$unsorted)) (or (= I U) (= (tptp.a_select2 X U) (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U)))))) (let ((_let_171 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_172 (_let_170))) (let ((_let_173 ((tptp.a_select2 (tptp.tptp_update2 X I VAL2) U)))) (let ((_let_174 (= _let_30 _let_166))) (let ((_let_175 (= tptp.use _let_167))) (let ((_let_176 (= tptp.use _let_30))) (let ((_let_177 (not _let_168))) (let ((_let_178 (= tptp.n3 tptp.n5))) (let ((_let_179 (or _let_178 _let_174))) (let ((_let_180 (= tptp.n5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_181 (= tptp.n3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_182 (not _let_178))) (let ((_let_183 (= tptp.n4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_184 (= tptp.n2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_185 (= tptp.n1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_186 (= tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_187 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.n5))) (let ((_let_188 (not _let_187))) (let ((_let_189 (tptp.leq tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_190 (not _let_189))) (let ((_let_191 (or _let_190 _let_188 _let_186 _let_185 _let_184 _let_181 _let_183 _let_180))) (let ((_let_192 (forall ((X $$unsorted)) (or (not (tptp.leq tptp.n0 X)) (not (tptp.leq X tptp.n5)) (= tptp.n0 X) (= tptp.n1 X) (= tptp.n2 X) (= tptp.n3 X) (= tptp.n4 X) (= tptp.n5 X))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (tptp.a_select2 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_195 (tptp.a_select2 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_196 (= _let_195 _let_194))) (let ((_let_197 (= tptp.use _let_195))) (let ((_let_198 (not _let_181))) (let 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(tptp.tptp_msub A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 D I J) (tptp.a_select3 D J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 F I J) (tptp.a_select3 F J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A (tptp.tptp_mmul B (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul C (tptp.tptp_mmul D (tptp.trans C))) (tptp.tptp_mmul E (tptp.tptp_mmul F (tptp.trans E)))) (tptp.trans B)))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((Body $$unsorted)) (= (tptp.sum tptp.n0 tptp.tptp_minus_1 Body) tptp.n0)) (forall ((Body $$unsorted)) (= tptp.tptp_float_0_0 (tptp.sum tptp.n0 tptp.tptp_minus_1 Body))) _let_60 (forall ((X $$unsorted)) (= (tptp.plus X tptp.n1) (tptp.succ X))) _let_58 _let_57 (forall ((X $$unsorted)) (= (tptp.plus tptp.n2 X) (tptp.succ (tptp.succ X)))) _let_56 _let_55 _let_54 (forall ((X $$unsorted)) (= (tptp.plus tptp.n4 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n5) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n5 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.minus X tptp.n1) (tptp.pred X))) _let_53 _let_52 _let_51 _let_50 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.minus X Y) X) (tptp.leq tptp.n0 Y))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (VAL $$unsorted)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) U V) VAL)) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= J V) (= (tptp.a_select3 X U V) VAL)) (= (tptp.a_select3 (tptp.tptp_update3 X I J VAL2) U V) VAL))) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted) (J0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq tptp.n0 J0) (tptp.leq I0 U) (tptp.leq J0 V)) (= (tptp.a_select3 X I0 J0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U) (tptp.leq tptp.n0 J) (tptp.leq J V)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) I J) VAL))) _let_49 _let_48 _let_47 tptp.true (not (= tptp.def tptp.use)) _let_46 (tptp.gt tptp.n5 tptp.n4) (tptp.gt tptp.n4 tptp.tptp_minus_1) (tptp.gt tptp.n5 tptp.tptp_minus_1) (tptp.gt tptp.n0 tptp.tptp_minus_1) (tptp.gt tptp.n1 tptp.tptp_minus_1) (tptp.gt tptp.n2 tptp.tptp_minus_1) (tptp.gt tptp.n3 tptp.tptp_minus_1) (tptp.gt tptp.n4 tptp.n0) (tptp.gt tptp.n5 tptp.n0) _let_21 _let_20 _let_19 (tptp.gt tptp.n4 tptp.n1) _let_18 (tptp.gt tptp.n2 tptp.n1) _let_17 (tptp.gt tptp.n4 tptp.n2) (tptp.gt tptp.n5 tptp.n2) _let_16 _let_15 _let_14 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n4)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4)))) _let_13 _let_12 _let_11 (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n2)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n3)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3)))) _let_10 _let_9 _let_6 _let_5 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.70/0.89 )
% 0.70/0.89 % SZS output end Proof for SWV103+1
% 0.70/0.89 % cvc5---1.0.5 exiting
% 0.70/0.89 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------