TSTP Solution File: SWV491+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV491+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 21:51:46 EDT 2023
% Result : Theorem 12.84s 13.02s
% Output : Proof 12.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV491+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 06:46:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 12.84/13.02 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.D0JtccaSCW/cvc5---1.0.5_671.p...
% 12.84/13.02 ------- get file name : TPTP file name is SWV491+3
% 12.84/13.02 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_671.smt2...
% 12.84/13.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.84/13.02 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.84/13.02 % SZS status Theorem for SWV491+3
% 12.84/13.02 % SZS output start Proof for SWV491+3
% 12.84/13.02 (
% 12.84/13.02 (let ((_let_1 (not (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.a I J))) (let ((_let_2 (= _let_1 tptp.real_zero))) (=> (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 (=> (tptp.int_less I J) _let_2) (=> (tptp.int_less J I) _let_2) (=> (= I J) (= _let_1 tptp.real_one)))))))))) (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) (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_4 (forall ((I $$unsorted) (J $$unsorted)) (or (tptp.int_less I J) (tptp.int_leq J I))))) (let ((_let_5 (forall ((I $$unsorted) (J $$unsorted)) (=> (tptp.int_less I J) (not (= I J)))))) (let ((_let_6 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (=> (and (tptp.int_less I J) (tptp.int_less J K)) (tptp.int_less I K))))) (let ((_let_7 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))))) (let ((_let_8 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_10 (tptp.plus tptp.int_zero tptp.int_zero))) (let ((_let_11 (= tptp.real_zero (tptp.a tptp.int_zero _let_10)))) (let ((_let_12 (not (tptp.int_leq tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_13 (not (tptp.int_leq tptp.int_one tptp.int_zero)))) (let ((_let_14 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero))) (let ((_let_15 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14)))) (let ((_let_16 (not (tptp.int_less tptp.int_zero tptp.int_zero)))) (let ((_let_17 (= tptp.real_one (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_18 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_8))) (let ((_let_21 (or _let_20 _let_19 _let_17))) (let ((_let_22 (= tptp.real_zero (tptp.a _let_10 tptp.int_zero)))) (let ((_let_23 (and (or _let_16 _let_15 _let_13 _let_12 _let_22) _let_21 (or _let_16 _let_15 _let_13 _let_12 _let_11)))) (let ((_let_24 (not _let_9))) (let ((_let_25 (or _let_20 _let_24 _let_20 _let_24 _let_23))) (let ((_let_26 (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (= tptp.real_one _let_26))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (= tptp.real_zero _let_26))) (let ((_let_32 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_31))) (let ((_let_38 (and _let_37 _let_34 _let_30))) (let ((_let_39 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_20 _let_24 _let_42 _let_40 _let_38))) (let ((_let_44 (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.a I J))) (let ((_let_2 (= tptp.real_zero _let_1))) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_leq I tptp.n)) (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (and (or (not (tptp.int_less I J)) _let_2) (or (not (tptp.int_less J I)) _let_2) (or (not (= I J)) (= tptp.real_one _let_1))))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (REFL :args (_let_43)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_8))) :args _let_47)) :args ((or _let_8 _let_43))) _let_49 :args (_let_8 true _let_43)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_9))) :args _let_47)) :args ((or _let_9 _let_43))) _let_49 :args (_let_9 true _let_43)))) (let ((_let_53 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_890 $$unsorted) (BOUND_VARIABLE_901 $$unsorted) (BOUND_VARIABLE_875 $$unsorted) (BOUND_VARIABLE_899 $$unsorted) (BOUND_VARIABLE_873 $$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_873)) (not (= I (tptp.plus J BOUND_VARIABLE_873))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_875)) (not (tptp.int_leq BOUND_VARIABLE_875 J)) (= tptp.real_zero (tptp.a (tptp.plus BOUND_VARIABLE_875 BOUND_VARIABLE_873) BOUND_VARIABLE_875))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_890)) (not (tptp.int_leq BOUND_VARIABLE_890 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_890 BOUND_VARIABLE_890))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_899)) (not (= J (tptp.plus I BOUND_VARIABLE_899))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_901)) (not (tptp.int_leq BOUND_VARIABLE_901 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_901 (tptp.plus BOUND_VARIABLE_901 BOUND_VARIABLE_899))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (not _let_23))) (let ((_let_57 (not _let_21))) (let ((_let_58 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (or _let_58 _let_18))) (let ((_let_60 (_let_4))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (forall ((J $$unsorted)) (not (tptp.int_less J J))))) (let ((_let_63 (not _let_58))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_62))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_65)) _let_64 :args (_let_63 false _let_62)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_18 (not _let_59)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_60)) _let_61 :args (_let_59 false _let_4)) :args (_let_18 true _let_58 false _let_59)))) (let ((_let_68 (not _let_17))) (let ((_let_69 (not _let_27))) (let ((_let_70 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_71 (forall ((K $$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 (= _let_32 _let_72))) (let ((_let_74 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_77 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_76))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_75))) (let ((_let_80 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_81 (= tptp.real_zero (tptp.a _let_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_82 (not _let_80))) (let ((_let_83 (or _let_75 _let_78 _let_42 _let_82 _let_81))) (let ((_let_84 (not _let_70))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_65)) _let_64 :args (_let_84 false _let_62)))) (let ((_let_86 (REFL :args (_let_29)))) (let ((_let_87 (APPLY_UF tptp.int_less))) (let ((_let_88 (ASSUME :args (_let_28)))) (let ((_let_89 (SYMM _let_88))) (let ((_let_90 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_91 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (not (forall ((K $$unsorted)) (or (not (= J (tptp.plus I K))) (not (tptp.int_less tptp.int_zero K))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_95 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_47)) :args ((or _let_28 _let_30))))) (let ((_let_96 (_let_72))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 4)) _let_49 :args ((not _let_38) true _let_43)))) (let ((_let_98 (or _let_36 _let_33 _let_58))) (let ((_let_99 (forall ((K $$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_100 (not _let_99))) (let ((_let_101 (= _let_35 _let_100))) (let ((_let_102 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_105 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_104))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_103))) (let ((_let_108 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_104)))) (let ((_let_109 (or _let_103 _let_106 _let_20 _let_19 _let_108))) (let ((_let_110 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (or (not (tptp.int_less I J)) (not (tptp.int_less J K)) (tptp.int_less I K))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_113 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_47)) :args ((or _let_32 _let_34))))) (let ((_let_114 (_let_100))) (let ((_let_115 (REFL :args (_let_107)))) (let ((_let_116 (not (tptp.int_leq tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_117 (or _let_13 _let_116 (= tptp.real_one (tptp.a tptp.int_zero tptp.int_zero))))) (let ((_let_118 (and (or _let_16 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) _let_13 _let_116 _let_22) _let_117 _let_109))) (let ((_let_119 (or _let_20 _let_24 _let_42 _let_40 _let_118))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 3)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_47)) :args ((or _let_39 _let_43))) _let_49 :args (_let_39 true _let_43)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 2)) (CONG _let_50 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_47)) :args ((or _let_41 _let_43))) _let_49 :args (_let_41 true _let_43)))) (let ((_let_122 (and _let_105 _let_108))) (let ((_let_123 (_let_105 _let_108))) (let ((_let_124 (APPLY_UF tptp.a))) (let ((_let_125 (ASSUME :args (_let_105)))) (let ((_let_126 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_127 (ASSUME :args (_let_108)))) (let ((_let_128 (CNF_AND_NEG :args (_let_38)))) (let ((_let_129 (SYMM _let_89))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_63)))) (CONG _let_126 _let_129 :args _let_87) (TRUE_INTRO (ASSUME :args (_let_35))))) :args (_let_35 _let_28 _let_63))) (CONG (REFL :args (_let_36)) _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_58))) :args _let_47)) _let_66 _let_95 _let_128 _let_97 (CNF_OR_NEG :args (_let_37 1)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_122)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_127) (SCOPE (TRANS (SYMM (SYMM _let_127)) (CONG _let_126 (SYMM _let_125) :args _let_124)) :args _let_123)) :args _let_123)) :args (true _let_122)) :args ((or _let_31 _let_106 (not _let_108)))) (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_20 _let_19 _let_106 _let_103 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 2)) :args ((or _let_109 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_20 _let_24 _let_42 _let_40 _let_118 (not _let_119)))) _let_51 _let_52 _let_121 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.int_zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_119 false _let_53)) :args (_let_118 false _let_8 false _let_9 false _let_41 false _let_39 false _let_119)) :args (_let_109 false _let_118)) _let_67 _let_51 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 1)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_102))) :args _let_47)) :args ((or _let_102 _let_107))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 0)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_105))) :args _let_47)) :args ((or _let_105 _let_107))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_99))) (REFL :args ((not _let_107))) :args _let_47)) _let_113 (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or _let_36 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_112) :args _let_93)) _let_92 :args (_let_101 false _let_91)) (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_36 _let_33 _let_58 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_110))) _let_111 :args (_let_98 false _let_110)) _let_66 :args (_let_36 true _let_58 false _let_28 true _let_30 true _let_38 false _let_37 false _let_31 false _let_108 false _let_109 false _let_18 false _let_8 false _let_102 false _let_105 true _let_107 false _let_34 true _let_99 false _let_101 true _let_32 false _let_98 true _let_58)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_47)) :args ((or _let_35 _let_37))) _let_130 :args (_let_37 true _let_35)))) (let ((_let_132 (REFL :args (_let_79)))) (let ((_let_133 (or _let_70 _let_80))) (let ((_let_134 (and _let_83 _let_117 (or _let_16 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14)) _let_13 _let_12 _let_11)))) (let ((_let_135 (or _let_20 _let_24 _let_42 _let_40 _let_134))) (let ((_let_136 (not _let_31))) (let ((_let_137 (and _let_136 _let_77))) (let ((_let_138 (_let_136 _let_77))) (let ((_let_139 (ASSUME :args (_let_136)))) (let ((_let_140 (=))) (let ((_let_141 (ASSUME :args (_let_77)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_141) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.real_zero)) (CONG (SYMM _let_141) _let_90 :args _let_124) :args _let_140) (FALSE_INTRO _let_139))) :args _let_138)) :args _let_138)) :args (true _let_137)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_31))) (REFL :args (_let_78)) (REFL :args ((not _let_81))) :args _let_47)) (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_42 _let_82 _let_78 _let_75 _let_81 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_134 0)) :args ((or _let_83 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_20 _let_24 _let_42 _let_40 _let_134 (not _let_135)))) _let_51 _let_52 _let_121 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_135 false _let_53)) :args (_let_134 false _let_8 false _let_9 false _let_41 false _let_39 false _let_135)) :args (_let_83 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_70 _let_80 (not _let_133)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_60)) _let_61 :args (_let_133 false _let_4)) :args (_let_80 true _let_70 false _let_133)) _let_121 (CNF_OR_NEG :args (_let_34 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 1)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_47)) :args ((or _let_74 _let_79))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG _let_132 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_47)) :args ((or _let_77 _let_79))) _let_128 _let_131 _let_97 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) (REFL :args ((not _let_79))) :args _let_47)) _let_95 (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_33 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_94) :args _let_93)) _let_92 :args (_let_73 false _let_91)) (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_84)))) (CONG _let_90 _let_89 :args _let_87) (TRUE_INTRO (ASSUME :args (_let_32))))) :args (_let_32 _let_28 _let_84))) (CONG (REFL :args (_let_33)) _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_70))) :args _let_47)) _let_85 :args (_let_33 false _let_81 false _let_83 false _let_80 false _let_41 true _let_31 false _let_74 false _let_77 true _let_34 false _let_37 true _let_38 true _let_79 false _let_30 true _let_71 false _let_73 true _let_28 true _let_70)))) (let ((_let_143 (or _let_32 _let_28))) (let ((_let_144 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_145 (= _let_144 _let_143))) (let ((_let_146 (_let_7))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (or _let_35 _let_144))) (let ((_let_149 (and _let_28 _let_69))) (let ((_let_150 (ASSUME :args (_let_69)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_25))) :args ((or _let_20 _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_21 _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_17 _let_19 _let_57))) _let_51 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_88) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.real_one)) (CONG _let_126 _let_129 :args _let_124) :args _let_140) (FALSE_INTRO _let_150))) :args (_let_69 _let_28))) :args (_let_28 _let_69))) :args (true _let_149)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_27))) (REFL :args (_let_68)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_32 _let_28 (not _let_143)))) _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_145)) :args ((or (not _let_144) _let_143 (not _let_145)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_35 _let_144 (not _let_148)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_112) :args _let_60)) _let_61 :args (_let_148 false _let_4)) :args (_let_144 true _let_35 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_94) :args _let_146))) _let_147 :args (_let_145 false _let_7)) :args (_let_143 false _let_144 false _let_145)) :args (_let_28 true _let_32 false _let_143)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 1)) (MACRO_RESOLUTION_TRUST _let_128 _let_97 _let_131 (MACRO_RESOLUTION_TRUST _let_113 _let_142 :args (_let_34 true _let_32)) :args ((not _let_30) true _let_38 false _let_37 false _let_34)) :args (_let_69 true _let_30)) :args (_let_68 false _let_28 true _let_27)) _let_67 :args (_let_57 false _let_8 true _let_17 false _let_18)) :args (_let_56 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero tptp.int_zero tptp.int_zero tptp.int_zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_55)) _let_54 :args (_let_25 false _let_53)) _let_52 _let_51 :args (false true _let_23 false _let_25 false _let_9 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 (tptp.int_less tptp.int_zero tptp.int_one) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.plus I J) (tptp.plus J I))) (forall ((I $$unsorted)) (= (tptp.plus I tptp.int_zero) I)) (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_3 (forall ((I $$unsorted)) (= (tptp.int_less tptp.int_zero I) (tptp.int_leq tptp.int_one I))) (not (= tptp.real_zero tptp.real_one)) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.84/13.03 )
% 12.84/13.03 % SZS output end Proof for SWV491+3
% 12.84/13.03 % cvc5---1.0.5 exiting
% 12.84/13.03 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------