%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ133+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 13:13:31 EDT 2023

% Result   : Theorem 1.19s 1.41s
% Output   : Proof 1.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ133+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n025.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   : Sat Aug 26 22:55:08 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 1.19/1.41  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qvWSMBWe8K/cvc5---1.0.5_28162.p...
% 1.19/1.41  ------- get file name : TPTP file name is PUZ133+2
% 1.19/1.41  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28162.smt2...
% 1.19/1.41  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.19/1.41  % SZS status Theorem for PUZ133+2
% 1.19/1.41  % SZS output start Proof for PUZ133+2
% 1.19/1.41  (
% 1.19/1.41  (let ((_let_1 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (= (= (tptp.minus I J) (tptp.minus K L)) (= (tptp.minus I K) (tptp.minus J L)))))) (let ((_let_2 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted) (L $$unsorted)) (= (= (tptp.plus I J) (tptp.plus K L)) (= (tptp.minus I K) (tptp.minus L J)))))) (let ((_let_3 (forall ((X $$unsorted)) (tptp.le X (tptp.s X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.le X Y) (tptp.le Y Z)) (tptp.le X Z))))) (let ((_let_5 (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.minus I J) (tptp.minus (tptp.perm J) (tptp.perm I)))))) (let ((_let_6 (forall ((I $$unsorted)) (let ((_let_1 (tptp.perm I))) (let ((_let_2 (tptp.s tptp.n0))) (=> (and (tptp.le _let_2 I) (tptp.le I tptp.n)) (and (tptp.le _let_2 _let_1) (tptp.le _let_1 tptp.n)))))))) (let ((_let_7 (forall ((I $$unsorted)) (= (tptp.q I) (tptp.p (tptp.perm I)))))) (let ((_let_8 (not (=> (and tptp.queens_p _let_7) tptp.queens_q)))) (let ((_let_9 (=> (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.q J))) (let ((_let_2 (tptp.q I))) (let ((_let_3 (tptp.le (tptp.s I) J))) (=> (and (tptp.le (tptp.s tptp.n0) I) (tptp.le I tptp.n) _let_3 (tptp.le J tptp.n) (= _let_3 (tptp.le (tptp.s (tptp.perm J)) (tptp.perm I)))) (and (not (= _let_2 _let_1)) (not (= (tptp.plus _let_2 I) (tptp.plus _let_1 J))) (not (= (tptp.minus _let_2 I) (tptp.minus _let_1 J))))))))) tptp.queens_q))) (let ((_let_10 (=> tptp.queens_p (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.p J))) (let ((_let_2 (tptp.p I))) (=> (and (tptp.le (tptp.s tptp.n0) I) (tptp.le I tptp.n) (tptp.le (tptp.s I) J) (tptp.le J tptp.n)) (and (not (= _let_2 _let_1)) (not (= (tptp.plus _let_2 I) (tptp.plus _let_1 J))) (not (= (tptp.minus _let_2 I) (tptp.minus _let_1 J))))))))))) (let ((_let_11 (tptp.perm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.p _let_11))) (let ((_let_13 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (tptp.perm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.p _let_15))) (let ((_let_17 (tptp.q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (= _let_12 _let_16))) (let ((_let_20 (= _let_17 _let_13))) (let ((_let_21 (ASSUME :args (_let_8)))) (let ((_let_22 (NOT_IMPLIES_ELIM1 _let_21))) (let ((_let_23 (AND_ELIM _let_22 :args (1)))) (let ((_let_24 (_let_7))) (let ((_let_25 ((tptp.q I)))) (let ((_let_26 (ASSUME :args _let_24))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_14 false _let_7)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_18 false _let_7)))) (let ((_let_29 (= (tptp.minus _let_16 _let_15) (tptp.minus _let_12 _let_11)))) (let ((_let_30 (not _let_29))) (let ((_let_31 (= (tptp.plus _let_16 _let_15) (tptp.plus _let_12 _let_11)))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_19))) (let ((_let_34 (and _let_33 _let_32 _let_30))) (let ((_let_35 (tptp.le _let_11 tptp.n))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.s _let_15))) (let ((_let_38 (tptp.le _let_37 _let_11))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.le _let_15 tptp.n))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.s tptp.n0))) (let ((_let_43 (tptp.le _let_42 _let_15))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_41 _let_39 _let_36 _let_34))) (let ((_let_46 (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.p J))) (let ((_let_2 (tptp.p I))) (or (not (tptp.le (tptp.s tptp.n0) I)) (not (tptp.le I tptp.n)) (not (tptp.le (tptp.s I) J)) (not (tptp.le J tptp.n)) (and (not (= _let_1 _let_2)) (not (= (tptp.plus _let_2 I) (tptp.plus _let_1 J))) (not (= (tptp.minus _let_2 I) (tptp.minus _let_1 J)))))))))) (let ((_let_47 (_let_46))) (let ((_let_48 (and (tptp.le _let_42 _let_11) _let_35))) (let ((_let_49 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.le _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_48))) (let ((_let_54 (forall ((I $$unsorted)) (let ((_let_1 (tptp.perm I))) (let ((_let_2 (tptp.s tptp.n0))) (or (not (tptp.le _let_2 I)) (not (tptp.le I tptp.n)) (and (tptp.le _let_2 _let_1) (tptp.le _let_1 tptp.n)))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.perm I)))) (let ((_let_58 (= (tptp.minus _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.minus _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_59 (not _let_58))) (let ((_let_60 (= (tptp.plus _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.plus _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_20))) (let ((_let_63 (and _let_62 _let_61 _let_59))) (let ((_let_64 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (tptp.le _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (not _let_65))) (let ((_let_67 (= _let_66 _let_38))) (let ((_let_68 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_52 _let_50 _let_66 _let_69 _let_67 _let_63))) (let ((_let_71 (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.q J))) (let ((_let_2 (tptp.q I))) (let ((_let_3 (not (tptp.le (tptp.s I) J)))) (or (not (tptp.le (tptp.s tptp.n0) I)) (not (tptp.le I tptp.n)) _let_3 (not (tptp.le J tptp.n)) (= (tptp.le (tptp.s (tptp.perm J)) (tptp.perm I)) _let_3) (and (not (= _let_1 _let_2)) (not (= (tptp.plus _let_2 I) (tptp.plus _let_1 J))) (not (= (tptp.minus _let_2 I) (tptp.minus _let_1 J))))))))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (not _let_71))) (let ((_let_74 (or))) (let ((_let_75 (_let_73))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75) (REWRITE :args ((=> _let_73 (not (or _let_52 _let_50 _let_66 _let_69 (= _let_38 _let_66) _let_63))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_71))) (REFL :args (_let_72)) :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)))) :args ((or tptp.queens_q _let_73))) (NOT_IMPLIES_ELIM2 _let_21) :args (_let_73 true tptp.queens_q)) :args (_let_72 true _let_71)))) (let ((_let_77 (REFL :args (_let_70)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_74)) :args ((or _let_51 _let_70))) _let_76 :args (_let_51 true _let_70)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_35 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_50 _let_48 (not _let_53)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_74)) :args ((or _let_49 _let_70))) _let_76 :args (_let_49 true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) :args (_let_48 false _let_51 false _let_49 false _let_53)) :args (_let_35 false _let_48)))) (let ((_let_80 (tptp.le _let_37 tptp.n))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.le _let_15 _let_37))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_40))) (let ((_let_85 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.le X Y)) (not (tptp.le Y Z)) (tptp.le X Z))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((not (= (tptp.le X Y) false)) (not (= (tptp.le Y Z) false))))) (let ((_let_89 (or _let_39 _let_36 _let_80))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 2)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_74)) :args ((or _let_65 _let_70))) _let_76 :args (_let_65 true _let_70)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_67)) :args ((or _let_66 _let_38 _let_67))) _let_90 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_70 4)) _let_76 :args ((not _let_67) true _let_70)) :args (_let_38 false _let_65 true _let_67)))) (let ((_let_92 (_let_3))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.s X)))) (let ((_let_95 (and _let_43 _let_40))) (let ((_let_96 (tptp.le _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_69 _let_95))) (let ((_let_99 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_52 _let_100 _let_96))) (let ((_let_102 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_64))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_66 _let_99))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_39 _let_44 _let_41 _let_36 _let_34 (not _let_45)))) _let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_95 0)) :args ((or _let_43 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_69 _let_97 _let_95 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 3)) (CONG _let_77 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_74)) :args ((or _let_68 _let_70))) _let_76 :args (_let_68 true _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_52 _let_96 _let_100 (not _let_101)))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_66 _let_103 _let_99 (not _let_104)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_102 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_87)) _let_86 :args (_let_104 false _let_85)) :args (_let_99 false _let_65 false _let_102 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_87)) _let_86 :args (_let_101 false _let_85)) :args (_let_96 false _let_51 false _let_99 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_98 false _let_54)) :args (_let_95 false _let_68 false _let_96 false _let_98)) :args (_let_43 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_40 _let_83 _let_81 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_82 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_39 _let_36 _let_80 (not _let_89)))) _let_91 _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_37 _let_11 tptp.n QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_87)) _let_86 :args (_let_89 false _let_85)) :args (_let_80 false _let_38 false _let_35 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_15 _let_37 tptp.n QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_87)) _let_86 :args (_let_84 false _let_85)) :args (_let_40 false _let_82 false _let_80 false _let_84)) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (_let_15 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.le (tptp.s I) J) false))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_46 (not tptp.queens_p)))) (AND_ELIM _let_22 :args (0)) :args (_let_46 false tptp.queens_p)) :args (_let_45 false _let_46)) :args (_let_34 false _let_38 false _let_43 false _let_40 false _let_35 false _let_45)))) (let ((_let_106 (not _let_34))) (let ((_let_107 (tptp.minus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (= _let_107 (tptp.minus _let_13 _let_17)))) (let ((_let_109 (= _let_58 _let_108))) (let ((_let_110 (_let_1))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (tptp.minus _let_15 _let_11))) (let ((_let_113 (= _let_112 (tptp.minus _let_12 _let_16)))) (let ((_let_114 (= _let_107 _let_112))) (let ((_let_115 (not _let_108))) (let ((_let_116 (= _let_31 _let_113))) (let ((_let_117 (not _let_113))) (let ((_let_118 (_let_2))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 ((tptp.plus I J) (tptp.plus K L)))) (let ((_let_121 (_let_5))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.perm J) (tptp.perm I)))) :args _let_121)) _let_122 :args (_let_114 false _let_5)))) (let ((_let_124 (not _let_114))) (let ((_let_125 (not _let_18))) (let ((_let_126 (not _let_14))) (let ((_let_127 (REFL :args (_let_125)))) (let ((_let_128 (REFL :args (_let_126)))) (let ((_let_129 (and _let_14 _let_18 _let_114 _let_117))) (let ((_let_130 (ASSUME :args (_let_117)))) (let ((_let_131 (APPLY_UF tptp.minus))) (let ((_let_132 (ASSUME :args (_let_18)))) (let ((_let_133 (SYMM (SYMM _let_132)))) (let ((_let_134 (ASSUME :args (_let_14)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (ASSUME :args (_let_114)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (= (tptp.minus _let_17 _let_13) _let_107))) (let ((_let_140 (= _let_60 _let_139))) (let ((_let_141 (= _let_112 (tptp.minus _let_16 _let_12)))) (let ((_let_142 (= _let_29 _let_141))) (let ((_let_143 (not _let_141))) (let ((_let_144 (and _let_14 _let_18 _let_139 _let_114))) (let ((_let_145 (ASSUME :args (_let_139)))) (let ((_let_146 (_let_63))) (let ((_let_147 (ASSUME :args (_let_20)))) (let ((_let_148 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_132 _let_147 _let_134 _let_148) :args (_let_20 _let_33 _let_14 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_148)) (TRUE_INTRO (TRANS (TRANS _let_135 (SYMM _let_147)) _let_133)))) :args (_let_18 _let_20 _let_14 _let_33)) :args ((not (and _let_20 _let_33 _let_14 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_62)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_19))) _let_128 _let_127 :args _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_146) (CONG (REFL :args _let_146) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_74)) :args ((or _let_20 _let_60 _let_58 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_140)) :args ((or _let_61 _let_139 (not _let_140)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_144)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_134 _let_145 _let_137) (SCOPE (TRANS _let_138 (SYMM _let_145) (CONG _let_133 _let_136 :args _let_131)) :args (_let_18 _let_14 _let_139 _let_114))) :args (_let_14 _let_18 _let_139 _let_114))) :args (true _let_144)) _let_27 _let_28 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_142)) :args ((or _let_29 _let_143 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 2)) :args ((or _let_30 _let_106))) _let_105 :args (_let_30 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_16 _let_12 _let_15 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.minus J L) (tptp.minus I K)))) :args _let_110))) _let_111 :args (_let_142 false _let_1)) :args (_let_143 true _let_29 false _let_142)) :args ((not _let_139) false _let_14 false _let_18 false _let_114 true _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118))) _let_119 :args (_let_140 false _let_2)) :args (_let_61 true _let_139 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_109)) :args ((or _let_59 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_129)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_137 _let_134 _let_132) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_138) (CONG _let_136 _let_133 :args _let_131) :args (=)) (FALSE_INTRO _let_130))) :args (_let_117 _let_114 _let_14 _let_18))) :args (_let_14 _let_18 _let_114 _let_117))) :args (true _let_129)) (CONG _let_128 _let_127 (REFL :args (_let_124)) (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_113))) (REFL :args (_let_115)) :args _let_74)) :args ((or _let_126 _let_125 _let_115 _let_124 _let_113))) _let_27 _let_28 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_116)) :args ((or _let_31 _let_117 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_32 _let_106))) _let_105 :args (_let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_12 _let_11 _let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118))) _let_119 :args (_let_116 false _let_2)) :args (_let_117 true _let_31 false _let_116)) :args (_let_115 false _let_14 false _let_18 false _let_114 true _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.minus I J) (tptp.minus K L)))) :args _let_110))) _let_111 :args (_let_109 false _let_1)) :args (_let_59 true _let_108 false _let_109)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_70 5)) _let_76 :args ((not _let_63) true _let_70)) :args (_let_20 true _let_60 true _let_58 true _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_33 _let_106))) _let_105 :args (_let_33 false _let_34)) _let_28 _let_27 :args (false false _let_20 true _let_19 false _let_18 false _let_14)) :args (_let_10 (forall ((I $$unsorted)) (=> (and (tptp.le (tptp.s tptp.n0) I) (tptp.le I tptp.n)) (= (tptp.perm I) (tptp.minus (tptp.s tptp.n) I)))) _let_9 _let_8 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.19/1.42  )
% 1.19/1.42  % SZS output end Proof for PUZ133+2
% 1.19/1.42  % cvc5---1.0.5 exiting
% 1.19/1.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------