TSTP Solution File: SWV489+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV489+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 26.13s 26.33s
% Output : Proof 26.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SWV489+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.12 % Command : do_cvc5 %s %d
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 06:49:13 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.44 %----Proving TF0_NAR, FOF, or CNF
% 26.13/26.33 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9mM6t09Nm6/cvc5---1.0.5_6450.p...
% 26.13/26.33 ------- get file name : TPTP file name is SWV489+3
% 26.13/26.33 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6450.smt2...
% 26.13/26.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.13/26.33 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.13/26.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.13/26.33 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.13/26.33 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.13/26.33 % SZS status Theorem for SWV489+3
% 26.13/26.33 % SZS output start Proof for SWV489+3
% 26.13/26.33 (
% 26.13/26.33 (let ((_let_1 (not (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) (not (= I J))) (= (tptp.a I J) tptp.real_zero)))))) (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 $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K I)) (= (tptp.a K (tptp.plus K C)) tptp.real_zero)))))))))) (let ((_let_3 (forall ((I $$unsorted)) (= (tptp.int_less tptp.int_zero I) (tptp.int_leq tptp.int_one I))))) (let ((_let_4 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (exists ((K $$unsorted)) (and (= (tptp.plus I K) J) (tptp.int_less tptp.int_zero K))))))) (let ((_let_5 (forall ((I $$unsorted)) (= (tptp.plus I tptp.int_zero) I)))) (let ((_let_6 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.plus I J) (tptp.plus J I))))) (let ((_let_7 (tptp.int_less tptp.int_zero tptp.int_one))) (let ((_let_8 (forall ((I $$unsorted) (J $$unsorted)) (or (tptp.int_less I J) (tptp.int_leq J I))))) (let ((_let_9 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))))) (let ((_let_10 (= tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.int_less tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (_let_9))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 ((tptp.int_leq I J)))) (let ((_let_18 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_13))) (let ((_let_23 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_21 _let_19 _let_18))) (let ((_let_28 (forall ((I $$unsorted) (J $$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)) (= I J) (= tptp.real_zero (tptp.a I J)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (REFL :args (_let_27)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_13))) :args _let_31)) :args ((or _let_13 _let_27))) _let_33 :args (_let_13 true _let_27)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_14)) :args ((or _let_22 _let_12 (not _let_14)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15)) _let_16 :args (_let_14 false _let_9)) :args (_let_12 false _let_13 false _let_14)))) (let ((_let_37 (= tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_10))) (let ((_let_39 (tptp.int_less tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (= _let_25 _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)))) (let ((_let_43 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus tptp.int_one K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (= _let_39 _let_44))) (let ((_let_46 (tptp.plus tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_47 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_50 (tptp.plus tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_51 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_54 (forall ((K $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.plus tptp.int_one K))) (not (tptp.int_less tptp.int_zero K)))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (= _let_11 _let_55))) (let ((_let_57 (tptp.plus tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_57))) (let ((_let_59 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.int_zero))) (let ((_let_60 (= _let_57 _let_59))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_59))) (let ((_let_62 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_39))) (let ((_let_64 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (not (forall ((K $$unsorted)) (or (not (= J (tptp.plus I K))) (not (tptp.int_less tptp.int_zero K))))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.int_less I J)))) (let ((_let_68 (_let_44))) (let ((_let_69 (= _let_46 _let_50))) (let ((_let_70 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_71 (tptp.int_less _let_46 _let_50))) (let ((_let_72 (tptp.int_less _let_50 _let_46))) (let ((_let_73 (or _let_71 _let_69))) (let ((_let_74 (tptp.int_leq _let_46 _let_50))) (let ((_let_75 (or _let_72 _let_74))) (let ((_let_76 (= _let_74 _let_73))) (let ((_let_77 (not _let_19))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 4)) _let_33 :args (_let_77 true _let_27)))) (let ((_let_79 (REFL :args (_let_52)))) (let ((_let_80 (REFL :args (_let_48)))) (let ((_let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_19))))) (let ((_let_82 (and _let_77 _let_47 _let_51))) (let ((_let_83 (_let_77 _let_47 _let_51))) (let ((_let_84 (ASSUME :args (_let_77)))) (let ((_let_85 (FALSE_INTRO _let_84))) (let ((_let_86 (=))) (let ((_let_87 (ASSUME :args (_let_51)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (ASSUME :args (_let_47)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (forall ((K $$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_92 (not _let_91))) (let ((_let_93 (= _let_70 _let_92))) (let ((_let_94 (not _let_70))) (let ((_let_95 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_97))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_96))) (let ((_let_101 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_102 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_97)))) (let ((_let_103 (not _let_101))) (let ((_let_104 (or _let_96 _let_99 _let_26 _let_103 _let_102))) (let ((_let_105 (REFL :args (_let_100)))) (let ((_let_106 (not (tptp.int_leq tptp.int_one tptp.int_one)))) (let ((_let_107 (or _let_106 _let_22 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one))))) (let ((_let_108 (tptp.plus tptp.int_one tptp.int_one))) (let ((_let_109 (not _let_7))) (let ((_let_110 (and (or _let_109 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_one))) _let_106 _let_22 (= tptp.real_zero (tptp.a _let_108 tptp.int_one))) _let_107 _let_104))) (let ((_let_111 (or _let_26 _let_24 _let_22 _let_21 _let_110))) (let ((_let_112 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_884 $$unsorted) (BOUND_VARIABLE_895 $$unsorted) (BOUND_VARIABLE_869 $$unsorted) (BOUND_VARIABLE_893 $$unsorted) (BOUND_VARIABLE_867 $$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_867)) (not (= I (tptp.plus J BOUND_VARIABLE_867))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_869)) (not (tptp.int_leq BOUND_VARIABLE_869 J)) (= tptp.real_zero (tptp.a (tptp.plus BOUND_VARIABLE_869 BOUND_VARIABLE_867) BOUND_VARIABLE_869))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_884)) (not (tptp.int_leq BOUND_VARIABLE_884 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_884 BOUND_VARIABLE_884))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_893)) (not (= J (tptp.plus I BOUND_VARIABLE_893))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_895)) (not (tptp.int_leq BOUND_VARIABLE_895 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_895 (tptp.plus BOUND_VARIABLE_895 BOUND_VARIABLE_893))))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_27))) _let_33 :args (_let_20 true _let_27)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)))) (let ((_let_117 (not _let_18))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 5)) _let_33 :args (_let_117 true _let_27)))) (let ((_let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_18))))) (let ((_let_120 (and _let_117 _let_98))) (let ((_let_121 (_let_117 _let_98))) (let ((_let_122 (ASSUME :args (_let_117)))) (let ((_let_123 (FALSE_INTRO _let_122))) (let ((_let_124 (APPLY_UF tptp.a))) (let ((_let_125 (ASSUME :args (_let_98)))) (let ((_let_126 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_127 (REFL :args (tptp.real_zero)))) (let ((_let_128 (_let_92))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_94 _let_92 (not _let_93)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) (REFL :args ((not _let_100))) :args _let_31)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_125) (SCOPE (FALSE_ELIM (TRANS (CONG _let_127 (CONG _let_126 (SYMM _let_125) :args _let_124) :args _let_86) _let_123)) :args _let_121)) :args _let_121)) :args (true _let_120)) (CONG _let_119 (REFL :args (_let_99)) (REFL :args ((not _let_102))) :args _let_31)) _let_118 (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_26 _let_103 _let_99 _let_96 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_110 2)) :args ((or _let_104 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_26 _let_24 _let_22 _let_21 _let_110 (not _let_111)))) _let_42 _let_116 _let_35 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (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_49 tptp.int_one QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_110 false _let_25 false _let_23 false _let_13 false _let_20 false _let_111)) :args (_let_104 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15))) _let_16 :args (_let_101 false _let_9)) _let_42 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_31)) :args ((or _let_95 _let_100))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_100 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_31)) :args ((or _let_98 _let_100))) :args (_let_100 true _let_18 false _let_102 false _let_104 false _let_101 false _let_25 false _let_95 false _let_98)) :args (_let_91 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_93 false _let_64)) :args (_let_94 false _let_91 false _let_93)))) (let ((_let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_70))))) (let ((_let_131 (and _let_47 _let_51 _let_94))) (let ((_let_132 (ASSUME :args (_let_94)))) (let ((_let_133 (FALSE_INTRO _let_132))) (let ((_let_134 (APPLY_UF tptp.int_less))) (let ((_let_135 (not _let_58))) (let ((_let_136 (or _let_135 (not (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_137 (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_138 (not _let_136))) (let ((_let_139 (not _let_137))) (let ((_let_140 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (= _let_140 _let_139))) (let ((_let_142 (= _let_13 _let_140))) (let ((_let_143 (_let_3))) (let ((_let_144 (ASSUME :args _let_143))) (let 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_166 (not _let_165))) (let ((_let_167 (not _let_163))) (let ((_let_168 (or _let_158 _let_167 _let_22 _let_166 _let_164))) (let ((_let_169 (REFL :args (_let_161)))) (let ((_let_170 (and _let_58 _let_60 _let_61 _let_159))) (let ((_let_171 (_let_58 _let_60 _let_61 _let_159))) (let ((_let_172 (APPLY_UF tptp.plus))) (let ((_let_173 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58)))) (let ((_let_174 (ASSUME :args (_let_58)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_60)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_61)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (ASSUME :args (_let_159)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (not _let_61))) (let ((_let_186 (REFL :args (_let_185)))) (let ((_let_187 (not _let_60))) (let ((_let_188 (REFL :args (_let_187)))) (let ((_let_189 (REFL :args (_let_135)))) (let ((_let_190 (and _let_117 _let_58 _let_60 _let_61 _let_159))) (let ((_let_191 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_192 (TRANS _let_176 _let_179 _let_181))) (let ((_let_193 (and _let_168 _let_107 (or _let_109 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one))) _let_106 _let_26 (= tptp.real_zero (tptp.a tptp.int_one _let_108)))))) (let ((_let_194 (or _let_26 _let_24 _let_22 _let_21 _let_193))) (let ((_let_195 (_let_154))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_155)) :args ((or _let_156 _let_154 (not _let_155)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_195)) :args _let_195)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_154) _let_153))) (REFL :args ((not _let_161))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_22 _let_166 _let_158 _let_167 _let_164 (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_193 0)) :args ((or _let_168 (not _let_193)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_26 _let_24 _let_22 _let_21 _let_193 (not _let_194)))) _let_42 _let_116 _let_35 _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_one tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_194 false _let_112)) :args (_let_193 false _let_25 false _let_23 false _let_13 false _let_20 false _let_194)) :args (_let_168 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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_let_58 _let_47 _let_51 _let_60 _let_61 _let_156))) (let ((_let_199 (ASSUME :args (_let_156)))) (let ((_let_200 (FALSE_INTRO _let_199))) (let ((_let_201 (_let_8))) (let ((_let_202 (ASSUME :args _let_201))) (let ((_let_203 (_let_55))) (let ((_let_204 (not _let_11))) (let ((_let_205 (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 (not _let_12)))))) (let ((_let_206 (REFL :args (_let_38)))) (let ((_let_207 (TRANS _let_182 _let_178 _let_175))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 (not _let_40)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_200) (CONG _let_207 _let_126 :args _let_134) (CONG (SYMM (ASSUME :args (_let_10))) _let_126 :args _let_134) (TRUE_INTRO (ASSUME :args (_let_39))))) :args (_let_39 _let_10 _let_58 _let_60 _let_61 _let_156))) (CONG (REFL :args (_let_63)) _let_206 _let_189 _let_188 _let_186 _let_197 :args _let_31)) _let_196 _let_152 _let_149 _let_146 _let_205 _let_36 (REORDERING (CNF_EQUIV_POS1 :args (_let_56)) :args ((or _let_204 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_56 false _let_64)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_203)) :args _let_203)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) (REFL :args ((not _let_53))) :args _let_31)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_31)) :args ((or _let_51 _let_53))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_76)) :args ((or (not _let_74) _let_73 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_46 _let_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15)) _let_16 :args (_let_76 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_72 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_202 :args (_let_50 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.int_leq J I) true))))) :args _let_201)) _let_202 :args (_let_75 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_71 _let_69 (not _let_73)))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_198)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_199 _let_180 _let_177 _let_174 _let_87 _let_89) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_88 _let_192) _let_90 :args _let_134) _let_200)) :args (_let_156 _let_61 _let_60 _let_58 _let_51 _let_47))) :args (_let_58 _let_47 _let_51 _let_60 _let_61 _let_156))) :args (true _let_198)) (CONG _let_189 _let_80 _let_79 _let_188 _let_186 _let_197 (REFL :args ((not _let_72))) :args _let_31)) _let_196 _let_152 _let_149 _let_146 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_89 _let_87) (SCOPE (FALSE_ELIM (TRANS (CONG _let_90 _let_88 :args _let_134) _let_133)) :args (_let_94 _let_47 _let_51))) :args (_let_47 _let_51 _let_94))) :args (true _let_131)) (CONG _let_80 _let_79 _let_130 (REFL :args ((not _let_71))) :args _let_31)) _let_129 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_89 _let_87) (SCOPE (FALSE_ELIM (TRANS (CONG _let_90 _let_88 :args _let_86) _let_85)) :args _let_83)) :args _let_83)) :args (true _let_82)) (CONG _let_81 _let_80 _let_79 (REFL :args ((not _let_69))) :args _let_31)) _let_78 :args ((or _let_48 _let_52) false _let_76 false _let_74 false _let_75 true _let_73 true _let_72 true _let_62 false _let_61 false _let_60 false _let_58 true _let_71 true _let_70 true _let_69 true _let_19)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_17)) :args _let_15)) _let_16 :args (_let_41 false _let_9)) :args (_let_40 false _let_25 false _let_41)) :args (_let_37 true _let_39 false _let_40)))) (let ((_let_209 (not _let_37))) (let ((_let_210 (REFL :args (_let_209)))) (let ((_let_211 (and _let_77 _let_37))) (let ((_let_212 (_let_77 _let_37))) (let ((_let_213 (ASSUME :args (_let_37)))) (let ((_let_214 (SYMM (SYMM _let_213)))) (let ((_let_215 (and _let_37 _let_58 _let_60 _let_61 _let_94))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_205 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_215)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_174 _let_177 _let_180 _let_213) (SCOPE (FALSE_ELIM (TRANS (CONG _let_214 (SYMM _let_207) :args _let_134) (CONG _let_126 _let_207 :args _let_134) _let_133)) :args (_let_94 _let_58 _let_60 _let_61 _let_37))) :args (_let_37 _let_58 _let_60 _let_61 _let_94))) :args (true _let_215)) (CONG _let_210 _let_189 _let_188 _let_186 _let_130 (REFL :args (_let_204)) :args _let_31)) :args ((or _let_209 _let_204 _let_135 _let_187 _let_185 _let_70))) _let_208 _let_146 _let_149 _let_152 _let_129 :args (_let_204 false _let_37 false _let_58 false _let_60 false _let_61 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_211)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_213) (SCOPE (FALSE_ELIM (TRANS (CONG _let_214 _let_191 :args _let_86) _let_85)) :args _let_212)) :args _let_212)) :args (true _let_211)) (CONG _let_81 _let_210 _let_206 :args _let_31)) _let_78 _let_208 :args (_let_38 true _let_19 false _let_37)) _let_36 :args (false true _let_11 true _let_10 false _let_12)) :args (_let_9 (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 $$unsorted)) (=> (tptp.int_less I J) (not (= I J)))) _let_8 _let_7 _let_6 _let_5 (forall ((I1 $$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_4 _let_3 (not (= tptp.real_zero tptp.real_one)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.13/26.33 )
% 26.13/26.33 % SZS output end Proof for SWV489+3
% 26.13/26.33 % cvc5---1.0.5 exiting
% 26.13/26.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------