TSTP Solution File: SWV486+3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV486+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 21:51:44 EDT 2023

% Result   : Theorem 10.63s 11.12s
% Output   : Proof 10.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV486+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n019.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Tue Aug 29 05:58:28 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.63/11.12  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FEZw5rYCql/cvc5---1.0.5_27725.p...
% 10.63/11.12  ------- get file name : TPTP file name is SWV486+3
% 10.63/11.12  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27725.smt2...
% 10.63/11.12  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.63/11.12  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.63/11.12  % SZS status Theorem for SWV486+3
% 10.63/11.12  % SZS output start Proof for SWV486+3
% 10.63/11.12  (
% 10.63/11.12  (let ((_let_1 (not (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)))))) (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 $$unsorted)) (and (= (tptp.plus I K) J) (tptp.int_less tptp.int_zero K))))))) (let ((_let_5 (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (=> (and (tptp.int_less I1 J1) (tptp.int_leq I2 J2)) (tptp.int_leq (tptp.plus I1 I2) (tptp.plus J1 J2)))))) (let ((_let_6 (forall ((I $$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 (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_less I J) (not (= I J)))))) (let ((_let_10 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (=> (and (tptp.int_less I J) (tptp.int_less J K)) (tptp.int_less I K))))) (let ((_let_11 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))))) (let ((_let_12 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_14 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (tptp.plus tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (= _let_14 _let_16))) (let ((_let_18 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.int_leq _let_16 _let_12))) (let ((_let_20 (forall ((I $$unsorted)) (= I (tptp.plus I tptp.int_zero))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_20))) (let ((_let_23 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_24 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_25 (_let_7))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (or _let_28 _let_27))) (let ((_let_30 (= _let_18 _let_29))) (let ((_let_31 (not _let_18))) (let ((_let_32 (_let_11))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_29))) (let ((_let_35 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (not _let_28))) (let ((_let_37 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_35))) (let ((_let_40 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (or (not (tptp.int_less I J)) (not (tptp.int_less J K)) (tptp.int_less I K))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (forall ((J $$unsorted)) (not (tptp.int_less J J))))) (let ((_let_44 (not _let_35))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_43))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_23) :args _let_46)) _let_45 :args (_let_44 false _let_43)))) (let ((_let_48 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_49 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_38 _let_50 _let_48))) (let ((_let_54 (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_55 (not _let_53))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (or))) (let ((_let_58 (not _let_54))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_56) :args (_let_58))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_54))) (REFL :args (_let_55)) :args _let_57)) _let_56 :args (_let_55 true _let_54)))) (let ((_let_60 (REFL :args (_let_53)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_57)) :args ((or _let_37 _let_53))) _let_59 :args (_let_37 true _let_53)))) (let ((_let_62 (not _let_27))) (let ((_let_63 (REFL :args (_let_38)))) (let ((_let_64 (ASSUME :args (_let_44)))) (let ((_let_65 (APPLY_UF tptp.int_less))) (let ((_let_66 (ASSUME :args (_let_27)))) (let ((_let_67 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_68 (ASSUME :args (_let_37)))) (let ((_let_69 (TRUE_INTRO _let_68))) (let ((_let_70 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71 _let_19))) (let ((_let_75 (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_76 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (= tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero))) (let ((_let_79 (or _let_78 _let_77))) (let ((_let_80 (= _let_70 _let_79))) (let ((_let_81 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero QUANTIFIERS_INST_ENUM))) (let ((_let_82 (tptp.int_leq tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (or _let_78 _let_82))) (let ((_let_84 (_let_8))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_87 (or _let_86 _let_77))) (let ((_let_88 (= _let_82 _let_87))) (let ((_let_89 (not _let_82))) (let ((_let_90 (not _let_87))) (let ((_let_91 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero))) (let ((_let_92 (not _let_77))) (let ((_let_93 (tptp.int_less tptp.int_zero tptp.int_zero))) (let ((_let_94 (not _let_91))) (let ((_let_95 (or _let_73 _let_94 _let_93))) (let ((_let_96 (= _let_51 _let_72))) (let ((_let_97 (_let_3))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_57)) :args ((or _let_51 _let_53))) _let_59 :args (_let_51 true _let_53)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_52 _let_72 (not _let_96)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_23) :args _let_97))) _let_98 :args (_let_96 false _let_3)) :args (_let_72 false _let_51 false _let_96)))) (let ((_let_101 (not _let_93))) (let ((_let_102 (ASSUME :args (_let_77)))) (let ((_let_103 (ASSUME :args (_let_94)))) (let ((_let_104 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (= _let_86 _let_104))) (let ((_let_106 (not _let_86))) (let ((_let_107 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_108 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_107)))) (let ((_let_109 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_110 (not _let_109))) (let ((_let_111 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_107))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.int_less tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112 _let_52 _let_110 _let_108))) (let ((_let_116 (not (tptp.int_leq tptp.int_one tptp.int_zero)))) (let ((_let_117 (and (or _let_101 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14)) _let_116 _let_89 (= tptp.real_zero (tptp.a (tptp.plus tptp.int_zero tptp.int_zero) tptp.int_zero))) (or _let_116 _let_89 (= tptp.real_one (tptp.a tptp.int_zero tptp.int_zero))) _let_115))) (let ((_let_118 (not _let_104))) (let ((_let_119 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_52 _let_120 _let_118 _let_50 _let_117))) (let ((_let_122 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_881 $$unsorted) (BOUND_VARIABLE_892 $$unsorted) (BOUND_VARIABLE_866 $$unsorted) (BOUND_VARIABLE_890 $$unsorted) (BOUND_VARIABLE_864 $$unsorted)) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_leq I tptp.n)) (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (and (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_864)) (not (= I (tptp.plus J BOUND_VARIABLE_864))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_866)) (not (tptp.int_leq BOUND_VARIABLE_866 J)) (= tptp.real_zero (tptp.a (tptp.plus BOUND_VARIABLE_866 BOUND_VARIABLE_864) BOUND_VARIABLE_866))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_881)) (not (tptp.int_leq BOUND_VARIABLE_881 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_881 BOUND_VARIABLE_881))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_890)) (not (= J (tptp.plus I BOUND_VARIABLE_890))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_892)) (not (tptp.int_leq BOUND_VARIABLE_892 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_892 (tptp.plus BOUND_VARIABLE_892 BOUND_VARIABLE_890))))))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (not _let_117))) (let ((_let_125 (not _let_115))) (let ((_let_126 (not _let_108))) (let ((_let_127 (or _let_112 _let_114))) (let ((_let_128 (forall ((K $$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_129 (not _let_127))) (let ((_let_130 (not _let_128))) (let ((_let_131 (= _let_37 _let_130))) (let ((_let_132 (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_133 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_130))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_134)) :args _let_134)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_128))) (REFL :args (_let_129)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_131)) :args ((or _let_38 _let_130 (not _let_131)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_130 false _let_37 false _let_131)) :args (_let_129 true _let_128)))) (let ((_let_136 (REFL :args (_let_127)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_127 0)) (CONG _let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_57)) :args ((or _let_111 _let_127))) _let_135 :args (_let_111 true _let_127)))) (let ((_let_138 (not _let_48))) (let ((_let_139 (and _let_138 _let_111))) (let ((_let_140 (_let_138 _let_111))) (let ((_let_141 (ASSUME :args (_let_138)))) (let ((_let_142 (ASSUME :args (_let_111)))) (let ((_let_143 (or _let_35 _let_109))) (let ((_let_144 (tptp.int_less tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_145 (or _let_144 _let_119))) (let ((_let_146 (tptp.int_less tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_147 (not _let_144))) (let ((_let_148 (or _let_147 _let_38 _let_146))) (let ((_let_149 (tptp.int_less tptp.n tptp.n))) (let ((_let_150 (tptp.int_less SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_151 (not _let_150))) (let ((_let_152 (not _let_146))) (let ((_let_153 (or _let_152 _let_151 _let_149))) (let ((_let_154 (= tptp.n SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_155 (or _let_150 _let_154))) (let ((_let_156 (not _let_149))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.n QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_156 false _let_43)))) (let ((_let_158 (= _let_49 _let_155))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 2)) (CONG _let_60 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_57)) :args ((or _let_49 _let_53))) _let_59 :args (_let_49 true _let_53)))) (let ((_let_160 (ASSUME :args (_let_156)))) (let ((_let_161 (ASSUME :args (_let_154)))) (let ((_let_162 (ASSUME :args (_let_146)))) (let ((_let_163 (ASSUME :args (_let_19)))) (let ((_let_164 (ASSUME :args (_let_13)))) (let ((_let_165 (ASSUME :args (_let_17)))) (let ((_let_166 (ASSUME :args (_let_15)))) (let ((_let_167 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_163 _let_165 _let_166 _let_164 _let_167) :args (_let_13 _let_15 _let_17 _let_31 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_167)) (CONG (TRANS (SYMM (SYMM _let_166)) (SYMM (SYMM _let_165))) (SYMM (SYMM _let_164)) :args (APPLY_UF tptp.int_leq)) (TRUE_INTRO _let_163))) :args (_let_19 _let_17 _let_15 _let_13 _let_31)) :args ((not (and _let_13 _let_15 _let_17 _let_31 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true _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :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_122))) _let_123 :args (_let_121 false _let_122)) :args (_let_118 false _let_51 false _let_49 false _let_119 true _let_117 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_24) :args _let_97)) _let_98 :args (_let_105 false _let_3)) :args (_let_106 true _let_104 false _let_105)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_102 _let_103) :args (_let_37 _let_94 _let_77)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_103)) (CONG _let_67 (SYMM (SYMM _let_102)) :args _let_65) _let_69)) :args (_let_37 _let_77 _let_94)) :args ((not (and _let_37 _let_94 _let_77)) SB_LITERAL))) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_91))) (REFL :args (_let_92)) :args _let_57)) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_93 _let_73 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.int_zero QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_101 false _let_43)) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_zero QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_95 false _let_40)) :args (_let_94 true _let_93 false _let_72 false _let_95)) :args (_let_92 false _let_37 true _let_91)) :args (_let_90 true _let_86 true _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_88 false _let_11)) :args (_let_89 true _let_87 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args _let_81) :args _let_84)) _let_85 :args (_let_83 false _let_8)) :args (_let_78 true _let_82 false _let_83)) :args (_let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_81) :args _let_32))) _let_33 :args (_let_80 false _let_11)) :args (_let_70 false _let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.int_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_19 false _let_72 false _let_70 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or _let_29 _let_31 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_34))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_64 _let_66 _let_68) :args (_let_37 _let_44 _let_27)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_69) (CONG _let_67 (SYMM _let_66) :args _let_65) (FALSE_INTRO _let_64))) :args (_let_44 _let_27 _let_37)) :args ((not (and _let_37 _let_44 _let_27)) SB_LITERAL))) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_35))) (REFL :args (_let_62)) :args _let_57)) _let_61 _let_47 :args (_let_62 false _let_37 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_35 _let_36 (not _let_39)))) _let_61 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_36 false _let_37 true _let_35 false _let_39)) :args (_let_34 true _let_27 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_32))) _let_33 :args (_let_30 false _let_11)) :args (_let_31 true _let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.int_zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_25)) _let_26 :args (_let_17 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args _let_24) :args _let_22)) _let_21 :args (_let_15 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args _let_23) :args _let_22)) _let_21 :args (_let_13 false _let_20)) :args (false false _let_19 true _let_18 false _let_17 false _let_15 false _let_13)) :args (_let_11 _let_10 _let_9 _let_8 (tptp.int_less tptp.int_zero tptp.int_one) _let_7 _let_6 _let_5 _let_4 _let_3 (not (= tptp.real_zero tptp.real_one)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.63/11.12  )
% 10.63/11.12  % SZS output end Proof for SWV486+3
% 10.63/11.12  % cvc5---1.0.5 exiting
% 10.63/11.12  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------