TSTP Solution File: SWV492+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV492+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 13.21s 13.40s
% Output : Proof 13.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV492+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 10:03:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 13.21/13.40 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7T6NqJVz8z/cvc5---1.0.5_30143.p...
% 13.21/13.40 ------- get file name : TPTP file name is SWV492+1
% 13.21/13.40 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30143.smt2...
% 13.21/13.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.21/13.40 --- Run --no-e-matching --full-saturate-quant at 5...
% 13.21/13.40 % SZS status Theorem for SWV492+1
% 13.21/13.40 % SZS output start Proof for SWV492+1
% 13.21/13.40 (
% 13.21/13.40 (let ((_let_1 (not (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.int_leq tptp.int_one I) (tptp.int_less I J) (tptp.int_leq J tptp.n)) (= (tptp.a I J) tptp.real_zero))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.int_leq tptp.int_one I) (tptp.int_leq J tptp.n) (= I J)) (not (= (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)) (let ((_let_1 (tptp.plus K C))) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K J)) (= (tptp.a _let_1 K) (tptp.qr _let_1 K))))))) (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 $$unsorted)) (and (= (tptp.plus I K) J) (tptp.int_less tptp.int_zero K))))))) (let ((_let_6 (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (=> (and (tptp.int_less I1 J1) (tptp.int_leq I2 J2)) (tptp.int_leq (tptp.plus I1 I2) (tptp.plus J1 J2)))))) (let ((_let_7 (forall ((I $$unsorted)) (= (tptp.plus I tptp.int_zero) I)))) (let ((_let_8 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.plus I J) (tptp.plus J I))))) (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_less I J) (not (= I J)))))) (let ((_let_11 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (=> (and (tptp.int_less I J) (tptp.int_less J K)) (tptp.int_less I K))))) (let ((_let_12 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))))) (let ((_let_13 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_14 (_let_12))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_17 (= tptp.real_one _let_16))) (let ((_let_18 (not _let_13))) (let ((_let_19 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_17))) (let ((_let_22 (tptp.plus tptp.real_one tptp.real_one))) (let ((_let_23 (not (tptp.int_leq tptp.real_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)))) (let ((_let_24 (not (tptp.int_leq tptp.int_one tptp.real_one)))) (let ((_let_25 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 tptp.real_one))))) (let ((_let_26 (not (tptp.int_less tptp.int_zero tptp.real_one)))) (let ((_let_27 (and (or _let_26 _let_25 _let_24 _let_23 (= (tptp.a _let_22 tptp.real_one) (tptp.qr _let_22 tptp.real_one))) _let_21 (or _let_26 _let_25 _let_24 _let_23 (= tptp.real_zero (tptp.a tptp.real_one _let_22)))))) (let ((_let_28 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 tptp.n))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_20 _let_29 _let_20 _let_29 _let_27))) (let ((_let_31 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_906 $$unsorted) (BOUND_VARIABLE_904 $$unsorted) (BOUND_VARIABLE_895 $$unsorted) (BOUND_VARIABLE_879 $$unsorted) (BOUND_VARIABLE_877 $$unsorted)) (let ((_let_1 (tptp.plus BOUND_VARIABLE_879 BOUND_VARIABLE_877))) (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_877)) (not (= I (tptp.plus J BOUND_VARIABLE_877))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_879)) (not (tptp.int_leq BOUND_VARIABLE_879 J)) (= (tptp.a _let_1 BOUND_VARIABLE_879) (tptp.qr _let_1 BOUND_VARIABLE_879))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_895)) (not (tptp.int_leq BOUND_VARIABLE_895 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_895 BOUND_VARIABLE_895))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_904)) (not (= J (tptp.plus I BOUND_VARIABLE_904))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_906)) (not (tptp.int_leq BOUND_VARIABLE_906 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_906 (tptp.plus BOUND_VARIABLE_906 BOUND_VARIABLE_904)))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (= tptp.real_zero _let_16))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_20 _let_29 _let_35))) (let ((_let_37 (forall ((J $$unsorted)) (or (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (not (= tptp.real_zero (tptp.a J J))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (forall ((I $$unsorted) (J $$unsorted)) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_less I J)) (not (tptp.int_leq J tptp.n)) (= tptp.real_zero (tptp.a I J)))))) (let ((_let_40 (not _let_37))) (let ((_let_41 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_42 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_43 _let_41))) (let ((_let_49 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (= _let_46 _let_49))) (let ((_let_51 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_45 _let_53 _let_51))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_56 (forall ((K $$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_57 (not _let_56))) (let ((_let_58 (= _let_44 _let_57))) (let ((_let_59 (= tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_60 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_61 (or _let_60 _let_59))) (let ((_let_62 (= _let_42 _let_61))) (let ((_let_63 (tptp.int_less tptp.int_zero tptp.int_zero))) (let ((_let_64 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_49))) (let ((_let_67 (or _let_66 _let_65 _let_63))) (let ((_let_68 (or _let_52 _let_55))) (let ((_let_69 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_72 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_71))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_70))) (let ((_let_75 (tptp.int_less tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_76 (= tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_77 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (= _let_77 _let_68))) (let ((_let_79 (tptp.int_less tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_45 _let_75))) (let ((_let_82 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_83 (or _let_79 _let_82))) (let ((_let_84 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_84))) (let ((_let_86 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_86))) (let ((_let_88 (tptp.plus tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (= _let_86 _let_88))) (let ((_let_90 (tptp.int_leq _let_88 _let_84))) (let ((_let_91 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_71)))) (let ((_let_92 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_66 _let_93 _let_90))) (let ((_let_95 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_70 _let_73 _let_47 _let_96 _let_91))) (let ((_let_98 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_99 (or _let_98 _let_76))) (let ((_let_100 (= _let_92 _let_99))) (let ((_let_101 (tptp.int_leq tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_102 (not _let_101))) (let ((_let_103 (not (tptp.int_leq tptp.int_one tptp.int_zero)))) (let ((_let_104 (tptp.plus tptp.int_zero tptp.int_zero))) (let ((_let_105 (not _let_63))) (let ((_let_106 (and (or _let_105 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_86)) _let_103 _let_102 (= (tptp.a _let_104 tptp.int_zero) (tptp.qr _let_104 tptp.int_zero))) (or _let_103 _let_102 (= tptp.real_one (tptp.a tptp.int_zero tptp.int_zero))) _let_97))) (let ((_let_107 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (not _let_107))) (let ((_let_109 (not _let_82))) (let ((_let_110 (or _let_47 _let_109 _let_108 _let_43 _let_106))) (let ((_let_111 (or _let_98 _let_101))) (let ((_let_112 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_113 (= _let_112 _let_107))) (let ((_let_114 (or _let_112 _let_76))) (let ((_let_115 (= _let_101 _let_114))) (let ((_let_116 (or))) (let ((_let_117 (REFL :args (_let_48)))) (let ((_let_118 (_let_4))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_121 (forall ((J $$unsorted)) (not (tptp.int_less J J))))) (let ((_let_122 (not _let_51))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_121))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_120) :args _let_124)) _let_123 :args (_let_122 false _let_121)))) (let ((_let_126 (forall ((I $$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_127 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_128 (_let_126))) (let ((_let_129 (REFL :args (_let_45)))) (let ((_let_130 (ASSUME :args (_let_122)))) (let ((_let_131 (APPLY_UF tptp.int_less))) (let ((_let_132 (ASSUME :args (_let_55)))) (let ((_let_133 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_134 (ASSUME :args (_let_44)))) (let ((_let_135 (TRUE_INTRO _let_134))) (let ((_let_136 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (not (forall ((K $$unsorted)) (or (not (= J (tptp.plus I K))) (not (tptp.int_less tptp.int_zero K))))))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (_let_57))) (let ((_let_139 (tptp.int_less tptp.n tptp.n))) (let ((_let_140 (not _let_60))) (let ((_let_141 (not _let_75))) (let ((_let_142 (or _let_141 _let_140 _let_139))) (let ((_let_143 (not _let_61))) (let ((_let_144 (not _let_139))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.n QUANTIFIERS_INST_ENUM)) :args _let_124)) _let_123 :args (_let_144 false _let_121)))) (let ((_let_146 (ASSUME :args (_let_144)))) (let ((_let_147 (ASSUME :args (_let_59)))) (let ((_let_148 (ASSUME :args (_let_75)))) (let ((_let_149 (ASSUME :args (_let_76)))) (let ((_let_150 (ASSUME :args (_let_65)))) (let ((_let_151 (not _let_77))) (let ((_let_152 (REFL :args (_let_74)))) (let ((_let_153 (_let_9))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 (forall ((I $$unsorted)) (= I (tptp.plus I tptp.int_zero))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (_let_155))) (let ((_let_158 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_159 (_let_8))) (let ((_let_160 (ASSUME :args _let_159))) (let ((_let_161 (and _let_85 _let_87 _let_89 _let_151))) (let ((_let_162 (ASSUME :args (_let_151)))) (let ((_let_163 (ASSUME :args (_let_85)))) (let ((_let_164 (ASSUME :args (_let_87)))) (let ((_let_165 (ASSUME :args (_let_89)))) (let ((_let_166 (not _let_41))) (let ((_let_167 (and _let_166 _let_72))) (let ((_let_168 (_let_166 _let_72))) (let ((_let_169 (ASSUME :args (_let_166)))) (let ((_let_170 (=))) (let ((_let_171 (ASSUME :args (_let_72)))) (let ((_let_172 (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (or (not (tptp.int_less I1 J1)) (not (tptp.int_leq I2 J2)) (tptp.int_leq (tptp.plus I1 I2) (tptp.plus J1 J2)))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (or _let_51 _let_95))) (let ((_let_175 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero QUANTIFIERS_INST_ENUM))) (let ((_let_176 (not _let_39))) (let ((_let_177 (_let_176))) (let ((_let_178 (_let_40))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_178)) :args _let_178)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_38)) :args _let_116)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_177)) :args _let_177)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_176) _let_39))) (REFL :args ((not _let_48))) :args _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_112 _let_76 (not _let_114)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_114 _let_102 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_14)) _let_15 :args (_let_115 false _let_12)) (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or _let_107 (not _let_112) (not _let_113)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_128)) _let_127 :args (_let_81 false _let_126)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_152 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_116)) :args ((or _let_69 _let_74))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_152 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_116)) :args ((or _let_72 _let_74))) (REORDERING (CNF_EQUIV_POS1 :args (_let_78)) :args ((or _let_68 _let_151 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_14))) _let_15 :args (_let_78 false _let_12)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_134 _let_149 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_let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.int_zero QUANTIFIERS_INST_ENUM)) :args _let_124)) _let_123 :args (_let_105 false _let_121)) (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or _let_43 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n QUANTIFIERS_INST_CBQI_PROP)) :args _let_14))) _let_15 :args (_let_62 false _let_12)) (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_45 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_136))) _let_137 :args (_let_58 false _let_136)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_130 _let_132 _let_134) :args (_let_44 _let_122 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_135) (CONG _let_133 (SYMM _let_132) :args _let_131) (FALSE_INTRO _let_130))) :args (_let_122 _let_55 _let_44)) :args ((not (and _let_44 _let_122 _let_55)) SB_LITERAL))) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_51))) (REFL :args ((not _let_55))) :args _let_116)) _let_125 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_45 _let_51 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_128)) _let_127 :args (_let_54 false _let_126)) _let_125 (REORDERING (CNF_EQUIV_POS1 :args (_let_50)) :args ((or _let_47 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_120) :args _let_118))) _let_119 :args (_let_50 false _let_4)) (CNF_OR_NEG :args (_let_48 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 2)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) :args _let_116)) :args ((or _let_42 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_116)) :args ((or _let_44 _let_48))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_117 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_116)) :args ((or _let_46 _let_48))) :args (_let_48 false _let_114 false _let_115 true _let_112 false _let_113 false _let_101 false _let_111 true _let_107 false _let_110 true _let_98 true _let_106 true _let_99 false _let_100 true _let_97 false _let_95 true _let_92 false _let_94 true _let_91 true _let_90 false _let_89 false _let_87 false _let_85 false _let_82 false _let_83 true _let_79 false _let_81 false _let_69 false _let_72 true _let_77 false _let_78 true _let_76 true _let_75 true _let_74 true _let_68 true _let_64 false _let_67 true _let_63 false _let_61 false _let_62 true _let_56 false _let_58 true _let_55 true _let_51 true _let_52 false _let_54 true _let_51 false _let_49 false _let_50 true _let_41 false _let_42 false _let_44 false _let_46)) :args (_let_39 false _let_48)) :args (_let_40 false _let_39)) :args (_let_38 true _let_37)))) (let ((_let_180 (REFL :args (_let_36)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_116)) :args ((or _let_19 _let_36))) _let_179 :args (_let_19 true _let_36)))) (let ((_let_182 (= tptp.real_one tptp.real_zero))) (let ((_let_183 (not _let_17))) (let ((_let_184 (SYMM (ASSUME :args (_let_3))))) (let ((_let_185 (not _let_182))) (let ((_let_186 (and _let_185 _let_34))) (let ((_let_187 (_let_185 _let_34))) (let ((_let_188 (ASSUME :args (_let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_17 _let_18 (not _let_21)))) _let_181 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_186)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_184 _let_188) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.real_one)) (SYMM _let_188) :args _let_170) (FALSE_INTRO _let_184))) :args _let_187)) :args _let_187)) :args (true _let_186)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_185) _let_182))) (REFL :args (_let_35)) (REFL :args (_let_183)) :args _let_116)) _let_184 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_116)) :args ((or _let_34 _let_36))) _let_179 :args (_let_34 true _let_36)) :args (_let_183 true _let_182 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_21 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_30))) :args ((or _let_20 _let_29 _let_27 (not _let_30)))) _let_181 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_180 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_116)) :args ((or _let_28 _let_36))) _let_179 :args (_let_28 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 tptp.real_one tptp.real_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 tptp.real_one tptp.real_one QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_27 false _let_19 false _let_28 false _let_30)) :args (_let_21 false _let_27)) :args (_let_18 false _let_19 true _let_17 false _let_21)) _let_15 :args (false true _let_13 false _let_12)) :args (_let_12 _let_11 _let_10 _let_9 (tptp.int_less tptp.int_zero tptp.int_one) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.21/13.41 )
% 13.21/13.41 % SZS output end Proof for SWV492+1
% 13.21/13.41 % cvc5---1.0.5 exiting
% 13.21/13.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------