TSTP Solution File: SWV490+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV490+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 21:51:45 EDT 2023
% Result : Theorem 26.07s 26.26s
% Output : Proof 26.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV490+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:03:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 26.07/26.26 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LmaK1Qh7vP/cvc5---1.0.5_13933.p...
% 26.07/26.26 ------- get file name : TPTP file name is SWV490+3
% 26.07/26.26 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13933.smt2...
% 26.07/26.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.07/26.26 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.07/26.26 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.07/26.26 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.07/26.26 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.07/26.26 % SZS status Theorem for SWV490+3
% 26.07/26.26 % SZS output start Proof for SWV490+3
% 26.07/26.26 (
% 26.07/26.26 (let ((_let_1 (not (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (= (tptp.a I J) tptp.real_zero))) (let ((_let_2 (= I J))) (=> (and (tptp.int_leq tptp.int_one I) (tptp.int_leq I tptp.n) (tptp.int_leq tptp.int_one J) (tptp.int_leq J tptp.n)) (and (=> (not _let_2) _let_1) (=> _let_2 (not _let_1)))))))))) (let ((_let_2 (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.int_leq tptp.int_one I) (tptp.int_leq I tptp.n) (tptp.int_leq tptp.int_one J) (tptp.int_leq J tptp.n)) (and (forall ((C $$unsorted)) (=> (and (tptp.int_less tptp.int_zero C) (= I (tptp.plus J C))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K J)) (= (tptp.a (tptp.plus K C) K) tptp.real_zero))))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K J)) (= (tptp.a K K) tptp.real_one))) (forall ((C $$unsorted)) (=> (and (tptp.int_less tptp.int_zero C) (= J (tptp.plus I C))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K I)) (= (tptp.a K (tptp.plus K C)) tptp.real_zero)))))))))) (let ((_let_3 (not (= tptp.real_zero tptp.real_one)))) (let ((_let_4 (forall ((I $$unsorted)) (= (tptp.int_less tptp.int_zero I) (tptp.int_leq tptp.int_one I))))) (let ((_let_5 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (exists ((K $$unsorted)) (and (= (tptp.plus I K) J) (tptp.int_less tptp.int_zero K))))))) (let ((_let_6 (forall ((I $$unsorted)) (= (tptp.plus I tptp.int_zero) I)))) (let ((_let_7 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.plus I J) (tptp.plus J I))))) (let ((_let_8 (tptp.int_less tptp.int_zero tptp.int_one))) (let ((_let_9 (forall ((I $$unsorted) (J $$unsorted)) (or (tptp.int_less I J) (tptp.int_leq J I))))) (let ((_let_10 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))))) (let ((_let_11 (= tptp.real_one tptp.real_zero))) (let ((_let_12 (= tptp.real_one (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_15 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_12))) (let ((_let_20 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one))) (let ((_let_21 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20)))) (let ((_let_22 (not _let_8))) (let ((_let_23 (and (or _let_22 _let_21 _let_18 _let_16 (= tptp.real_zero (tptp.a _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) _let_19 (or _let_22 _let_21 _let_18 _let_16 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20)))))) (let ((_let_24 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_18 _let_25 _let_18 _let_25 _let_23))) (let ((_let_27 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_888 $$unsorted) (BOUND_VARIABLE_899 $$unsorted) (BOUND_VARIABLE_873 $$unsorted) (BOUND_VARIABLE_897 $$unsorted) (BOUND_VARIABLE_871 $$unsorted)) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_leq I tptp.n)) (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (and (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_871)) (not (= I (tptp.plus J BOUND_VARIABLE_871))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_873)) (not (tptp.int_leq BOUND_VARIABLE_873 J)) (= tptp.real_zero (tptp.a (tptp.plus BOUND_VARIABLE_873 BOUND_VARIABLE_871) BOUND_VARIABLE_873))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_888)) (not (tptp.int_leq BOUND_VARIABLE_888 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_888 BOUND_VARIABLE_888))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_897)) (not (= J (tptp.plus I BOUND_VARIABLE_897))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_899)) (not (tptp.int_leq BOUND_VARIABLE_899 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_899 (tptp.plus BOUND_VARIABLE_899 BOUND_VARIABLE_897))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 (not _let_14))) (let ((_let_31 (not _let_13))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (or _let_13 _let_14))) (let ((_let_34 (and _let_33 _let_32))) (let ((_let_35 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_18 _let_25 _let_38 _let_36 _let_34))) (let ((_let_40 (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (= tptp.real_zero (tptp.a I J)))) (let ((_let_2 (= I J))) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_leq I tptp.n)) (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (and (or _let_2 _let_1) (or (not _let_2) (not _let_1))))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (REFL :args (_let_39)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_43)) :args ((or _let_24 _let_39))) _let_45 :args (_let_24 true _let_39)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_43)) :args ((or _let_17 _let_39))) _let_45 :args (_let_17 true _let_39)))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49))) _let_50 :args (_let_15 false _let_10)))) (let ((_let_52 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_54))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_53))) (let ((_let_58 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (or _let_60 _let_13))) (let ((_let_63 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_68 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_67))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_66))) (let ((_let_71 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (= _let_73 _let_72))) (let ((_let_75 (tptp.int_less tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (= tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (or _let_75 _let_76))) (let ((_let_78 (REFL :args (_let_32)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 4)) _let_45 :args ((not _let_34) true _let_39)))) (let ((_let_80 (CNF_AND_NEG :args (_let_34)))) (let ((_let_81 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_54)))) (let ((_let_82 (or _let_53 _let_56 _let_18 _let_16 _let_81))) (let ((_let_83 (REFL :args (_let_57)))) (let ((_let_84 (not (tptp.int_leq tptp.int_one tptp.int_one)))) (let ((_let_85 (or _let_84 _let_38 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one))))) (let ((_let_86 (tptp.plus tptp.int_one tptp.int_one))) (let ((_let_87 (and (or _let_22 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_one))) _let_84 _let_38 (= tptp.real_zero (tptp.a _let_86 tptp.int_one))) _let_85 _let_82))) (let ((_let_88 (or _let_18 _let_25 _let_38 _let_36 _let_87))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 3)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_43)) :args ((or _let_35 _let_39))) _let_45 :args (_let_35 true _let_39)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)))) (let ((_let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_14))))) (let ((_let_92 (and _let_30 _let_55))) (let ((_let_93 (_let_30 _let_55))) (let ((_let_94 (ASSUME :args (_let_30)))) (let ((_let_95 (FALSE_INTRO _let_94))) (let ((_let_96 (=))) (let ((_let_97 (APPLY_UF tptp.a))) (let ((_let_98 (ASSUME :args (_let_55)))) (let ((_let_99 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_100 (REFL :args (tptp.real_zero)))) (let ((_let_101 (_let_59))) (let ((_let_102 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (not (forall ((K $$unsorted)) (or (not (= J (tptp.plus I K))) (not (tptp.int_less tptp.int_zero K))))))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((tptp.int_less I J)))) (let ((_let_106 (not _let_63))) (let ((_let_107 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (= tptp.real_zero (tptp.a _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_109 (not _let_107))) (let ((_let_110 (or _let_66 _let_69 _let_38 _let_109 _let_108))) (let ((_let_111 (REFL :args (_let_70)))) (let ((_let_112 (and _let_110 _let_85 (or _let_22 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20)) _let_84 _let_18 (= tptp.real_zero (tptp.a tptp.int_one _let_86)))))) (let ((_let_113 (or _let_18 _let_25 _let_38 _let_36 _let_112))) (let ((_let_114 (and _let_30 _let_68))) (let ((_let_115 (_let_30 _let_68))) (let ((_let_116 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_117 (ASSUME :args (_let_68)))) (let ((_let_118 (_let_72))) (let ((_let_119 (not _let_73))) (let ((_let_120 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus tptp.int_one K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_121 (not _let_120))) (let ((_let_122 (= _let_75 _let_121))) (let ((_let_123 (tptp.plus tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_124 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_127 (tptp.plus tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_128 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_127))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_131 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.plus tptp.int_one K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.int_less tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_134 (= _let_133 _let_132))) (let ((_let_135 (= tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_136 (or _let_133 _let_135))) (let ((_let_137 (tptp.plus tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_138 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_137))) (let ((_let_139 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.int_zero))) (let ((_let_140 (= _let_137 _let_139))) (let ((_let_141 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_139))) (let ((_let_142 (not _let_75))) (let ((_let_143 (_let_121))) (let ((_let_144 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_145 (= _let_123 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.int_one)))) (let ((_let_146 (tptp.int_leq _let_123 _let_127))) (let ((_let_147 (tptp.int_less _let_127 _let_123))) (let ((_let_148 (or _let_147 _let_146))) (let ((_let_149 (not _let_144))) (let ((_let_150 (or _let_149 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_151 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus tptp.int_zero K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_152 (not _let_150))) (let ((_let_153 (not _let_151))) (let ((_let_154 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_155 (= _let_154 _let_153))) (let ((_let_156 (= _let_17 _let_154))) (let ((_let_157 (_let_4))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 ((tptp.int_leq tptp.int_one I)))) (let ((_let_160 (_let_153))) (let ((_let_161 (not _let_138))) (let ((_let_162 (or _let_161 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_163 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.plus tptp.int_zero K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_164 (not _let_162))) (let ((_let_165 (not _let_163))) (let ((_let_166 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_167 (= _let_166 _let_165))) (let ((_let_168 (= _let_37 _let_166))) (let ((_let_169 (_let_165))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_162 0)) (CONG (REFL :args (_let_162)) (MACRO_SR_PRED_INTRO :args ((= (not _let_161) _let_138))) :args _let_43)) :args ((or _let_138 _let_162))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_169)) :args _let_169)) (CONG 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 tptp.int_one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_28 :args (_let_88 false _let_27)) :args (_let_87 false _let_17 false _let_24 false _let_37 false _let_35 false _let_88)) :args (_let_82 false _let_87)) _let_51 _let_48 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 1)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_43)) :args ((or _let_52 _let_57))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_83 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_43)) :args ((or _let_55 _let_57))) :args ((or _let_14 _let_57) false _let_81 false _let_82 false _let_15 false _let_17 false _let_52 false _let_55)) (CNF_OR_NEG :args (_let_33 1)) _let_80 _let_79 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_78 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_13))) :args _let_43)) :args ((or _let_13 _let_32))) :args (_let_13 false _let_37 false _let_76 false _let_77 true _let_75 true _let_73 false _let_74 false _let_71 false _let_70 true _let_63 false _let_64 true _let_62 true _let_60 false _let_61 false _let_58 false _let_57 true _let_14 true _let_33 true _let_34 false _let_32)))) (let ((_let_207 (and _let_13 _let_14 _let_12))) (let ((_let_208 (ASSUME :args (_let_14)))) (let ((_let_209 (ASSUME :args (_let_13)))) (let ((_let_210 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_207)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_209 _let_210) (SCOPE (TRANS (SYMM (SYMM _let_210)) (CONG _let_99 (SYMM (SYMM _let_209)) :args _let_97) (SYMM _let_208)) :args (_let_14 _let_13 _let_12))) :args (_let_13 _let_14 _let_12))) :args (true _let_207)) :args ((or _let_11 _let_31 _let_30 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_78 _let_91 :args _let_43)) :args ((or _let_14 _let_32))) (MACRO_RESOLUTION_TRUST _let_80 _let_79 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 0)) _let_206 :args (_let_33 false _let_13)) :args ((not _let_32) true _let_34 false _let_33)) :args (_let_14 true _let_32)) _let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_12 (not _let_19)))) _let_48 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_19 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_26))) :args ((or _let_18 _let_25 _let_23 (not _let_26)))) _let_48 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one tptp.int_one QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.int_leq tptp.int_one I) false)) (not (= (tptp.int_leq tptp.int_one J) false)) (tptp.int_less tptp.int_zero BOUND_VARIABLE_871) (tptp.int_leq tptp.int_one BOUND_VARIABLE_873) (tptp.int_leq tptp.int_one BOUND_VARIABLE_888) (tptp.int_less tptp.int_zero BOUND_VARIABLE_897) (tptp.int_leq tptp.int_one BOUND_VARIABLE_899)))) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_23 false _let_17 false _let_24 false _let_26)) :args (_let_19 false _let_23)) :args (_let_12 false _let_17 false _let_15 false _let_19)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_14 false _let_13 false _let_12 true _let_11)) :args (_let_10 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (=> (and (tptp.int_less I J) (tptp.int_less J K)) (tptp.int_less I K))) (forall ((I $$unsorted) (J $$unsorted)) (=> (tptp.int_less I J) (not (= I J)))) _let_9 _let_8 _let_7 _let_6 (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (=> (and (tptp.int_less I1 J1) (tptp.int_leq I2 J2)) (tptp.int_leq (tptp.plus I1 I2) (tptp.plus J1 J2)))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.07/26.27 )
% 26.07/26.27 % SZS output end Proof for SWV490+3
% 26.07/26.27 % cvc5---1.0.5 exiting
% 26.07/26.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------