%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 0.65s 0.88s
% Output   : Proof 0.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat Aug 26 22:49:28 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.65/0.88  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YcqZ7lnGUq/cvc5---1.0.5_32297.p...
% 0.65/0.88  ------- get file name : TPTP file name is PUZ133+1
% 0.65/0.88  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32297.smt2...
% 0.65/0.88  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.65/0.88  % SZS status Theorem for PUZ133+1
% 0.65/0.88  % SZS output start Proof for PUZ133+1
% 0.65/0.88  (
% 0.65/0.88  (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 (tptp.minus _let_15 _let_11))) (let ((_let_20 (tptp.minus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (= _let_20 _let_19))) (let ((_let_22 (= _let_20 (tptp.minus _let_13 _let_17)))) (let ((_let_23 (= _let_19 (tptp.minus _let_12 _let_16)))) (let ((_let_24 (ASSUME :args (_let_8)))) (let ((_let_25 (NOT_IMPLIES_ELIM1 _let_24))) (let ((_let_26 (AND_ELIM _let_25 :args (1)))) (let ((_let_27 (_let_7))) (let ((_let_28 ((tptp.q I)))) (let ((_let_29 (ASSUME :args _let_27))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_14 false _let_7)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_18 false _let_7)))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.perm J) (tptp.perm I)))) :args _let_32)) _let_33 :args (_let_21 false _let_5)))) (let ((_let_35 (= (tptp.minus _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.minus _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_36 (= _let_35 _let_22))) (let ((_let_37 (_let_1))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_35))) (let ((_let_40 (= (tptp.plus _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.plus _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (= _let_17 _let_13))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_43 _let_41 _let_39))) (let ((_let_45 (tptp.s _let_15))) (let ((_let_46 (tptp.le _let_45 _let_11))) (let ((_let_47 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (tptp.le _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (= _let_49 _let_46))) (let ((_let_51 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.n))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.s tptp.n0))) (let ((_let_56 (tptp.le _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_54 _let_49 _let_52 _let_50 _let_44))) (let ((_let_59 (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_60 (not _let_58))) (let ((_let_61 (not _let_59))) (let ((_let_62 (or))) (let ((_let_63 (_let_61))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63) (REWRITE :args ((=> _let_61 (not (or _let_57 _let_54 _let_49 _let_52 (= _let_46 _let_49) _let_44))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_59))) (REFL :args (_let_60)) :args _let_62)) (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_61))) (NOT_IMPLIES_ELIM2 _let_24) :args (_let_61 true tptp.queens_q)) :args (_let_60 true _let_59)))) (let ((_let_65 (= (tptp.minus _let_17 _let_13) _let_20))) (let ((_let_66 (= _let_40 _let_65))) (let ((_let_67 (_let_2))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 ((tptp.plus I J) (tptp.plus K L)))) (let ((_let_70 (= _let_19 (tptp.minus _let_16 _let_12)))) (let ((_let_71 (= (tptp.minus _let_16 _let_15) (tptp.minus _let_12 _let_11)))) (let ((_let_72 (= _let_71 _let_70))) (let ((_let_73 (not _let_70))) (let ((_let_74 (not _let_71))) (let ((_let_75 (= (tptp.plus _let_16 _let_15) (tptp.plus _let_12 _let_11)))) (let ((_let_76 (not _let_75))) (let ((_let_77 (= _let_12 _let_16))) (let ((_let_78 (not _let_77))) (let ((_let_79 (and _let_78 _let_76 _let_74))) (let ((_let_80 (tptp.le _let_11 tptp.n))) (let ((_let_81 (not _let_80))) (let ((_let_82 (not _let_46))) (let ((_let_83 (tptp.le _let_15 tptp.n))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.le _let_55 _let_15))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_82 _let_81 _let_79))) (let ((_let_88 (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_89 (_let_88))) (let ((_let_90 (and (tptp.le _let_55 _let_11) _let_80))) (let ((_let_91 (or _let_57 _let_54 _let_90))) (let ((_let_92 (forall ((I $$unsorted)) (let ((_let_1 (tptp.perm I))) (let ((_let_2 (tptp.s tptp.n0))) (or (not (tptp.le _let_2 I)) (not (tptp.le I tptp.n)) (and (tptp.le _let_2 _let_1) (tptp.le _let_1 tptp.n)))))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.perm I)))) (let ((_let_96 (REFL :args (_let_58)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 0)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_62)) :args ((or _let_56 _let_58))) _let_64 :args (_let_56 true _let_58)))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_80 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_57 _let_54 _let_90 (not _let_91)))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_62)) :args ((or _let_53 _let_58))) _let_64 :args (_let_53 true _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_91 false _let_92)) :args (_let_90 false _let_56 false _let_53 false _let_91)) :args (_let_80 false _let_90)))) (let ((_let_99 (tptp.le _let_45 tptp.n))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.le _let_15 _let_45))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100 _let_83))) (let ((_let_104 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.le X Y)) (not (tptp.le Y Z)) (tptp.le X Z))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 ((not (= (tptp.le X Y) false)) (not (= (tptp.le Y Z) false))))) (let ((_let_108 (or _let_82 _let_81 _let_99))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 2)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_62)) :args ((or _let_48 _let_58))) _let_64 :args (_let_48 true _let_58)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_50)) :args ((or _let_49 _let_46 _let_50))) _let_109 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 4)) _let_64 :args ((not _let_50) true _let_58)) :args (_let_46 false _let_48 true _let_50)))) (let ((_let_111 (_let_3))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 ((tptp.s X)))) (let ((_let_114 (and _let_85 _let_83))) (let ((_let_115 (tptp.le _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_52 _let_114))) (let ((_let_118 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_57 _let_119 _let_115))) (let ((_let_121 (tptp.le SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_49 _let_118))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_82 _let_86 _let_84 _let_81 _let_79 (not _let_87)))) _let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 0)) :args ((or _let_85 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_52 _let_116 _let_114 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 3)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_62)) :args ((or _let_51 _let_58))) _let_64 :args (_let_51 true _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_57 _let_115 _let_119 (not _let_120)))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_49 _let_122 _let_118 (not _let_123)))) _let_109 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_121 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_106)) _let_105 :args (_let_123 false _let_104)) :args (_let_118 false _let_48 false _let_121 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_106)) _let_105 :args (_let_120 false _let_104)) :args (_let_115 false _let_56 false _let_118 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_117 false _let_92)) :args (_let_114 false _let_51 false _let_115 false _let_117)) :args (_let_85 false _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_83 _let_102 _let_100 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_111)) _let_112 :args (_let_101 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_82 _let_81 _let_99 (not _let_108)))) _let_110 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_45 _let_11 tptp.n QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_106)) _let_105 :args (_let_108 false _let_104)) :args (_let_99 false _let_46 false _let_80 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_15 _let_45 tptp.n QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_106)) _let_105 :args (_let_103 false _let_104)) :args (_let_83 false _let_101 false _let_99 false _let_103)) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_89) :args (_let_15 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.le (tptp.s I) J) false))))) :args _let_89)) (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_88 (not tptp.queens_p)))) (AND_ELIM _let_25 :args (0)) :args (_let_88 false tptp.queens_p)) :args (_let_87 false _let_88)) :args (_let_79 false _let_46 false _let_85 false _let_83 false _let_80 false _let_87)))) (let ((_let_125 (not _let_79))) (let ((_let_126 (and _let_14 _let_18 _let_65 _let_21))) (let ((_let_127 (APPLY_UF tptp.minus))) (let ((_let_128 (ASSUME :args (_let_14)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (ASSUME :args (_let_18)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (ASSUME :args (_let_65)))) (let ((_let_134 (ASSUME :args (_let_21)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (REFL :args ((not _let_18))))) (let ((_let_137 (REFL :args ((not _let_14))))) (let ((_let_138 (ASSUME :args (_let_42)))) (let ((_let_139 (ASSUME :args (_let_78)))) (let ((_let_140 (_let_44))) (let ((_let_141 (= _let_75 _let_23))) (let ((_let_142 (not _let_23))) (let ((_let_143 (ASSUME :args (_let_142)))) (let ((_let_144 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_143 (MODUS_PONENS (AND_INTRO _let_128 _let_131 _let_144 _let_134) (SCOPE (TRANS _let_135 (SYMM (SYMM _let_144)) (CONG _let_130 _let_132 :args _let_127)) :args (_let_14 _let_18 _let_22 _let_21)))) :args (_let_14 _let_18 _let_22 _let_21 _let_142)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_23)))))) (FALSE_INTRO _let_143))) :args (_let_142 _let_23)) :args ((not (and _let_14 _let_18 _let_22 _let_21 _let_142)) SB_LITERAL))) (CONG _let_137 _let_136 (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (MACRO_SR_PRED_INTRO :args ((= (not _let_142) _let_23))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_141)) :args ((or _let_75 _let_142 (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 1)) :args ((or _let_76 _let_125))) _let_124 :args (_let_76 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_12 _let_11 _let_16 _let_15 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67))) _let_68 :args (_let_141 false _let_2)) :args (_let_142 true _let_75 false _let_141)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_39 _let_22 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_140) (CONG (REFL :args _let_140) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) :args _let_62)) :args ((or _let_42 _let_40 _let_35 _let_44))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_131 _let_138 _let_128 _let_139) :args (_let_42 _let_78 _let_14 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_139)) (TRUE_INTRO (TRANS (TRANS _let_129 (SYMM _let_138)) _let_132)))) :args (_let_18 _let_42 _let_14 _let_78)) :args ((not (and _let_42 _let_78 _let_14 _let_18)) SB_LITERAL))) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) _let_137 _let_136 :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_78 _let_125))) _let_124 :args (_let_78 false _let_79)) _let_30 _let_31 :args (_let_43 true _let_77 false _let_14 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_41 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_131 _let_128 _let_133 _let_134) (SCOPE (TRANS _let_135 (SYMM _let_133) (CONG _let_132 _let_130 :args _let_127)) :args (_let_18 _let_14 _let_65 _let_21))) :args (_let_14 _let_18 _let_65 _let_21))) :args (true _let_126)) _let_30 _let_31 _let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_72)) :args ((or _let_71 _let_73 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 2)) :args ((or _let_74 _let_125))) _let_124 :args (_let_74 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_16 _let_12 _let_15 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.minus J L) (tptp.minus I K)))) :args _let_37))) _let_38 :args (_let_72 false _let_1)) :args (_let_73 true _let_71 false _let_72)) :args ((not _let_65) false _let_14 false _let_18 false _let_21 true _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_67))) _let_68 :args (_let_66 false _let_2)) :args (_let_41 true _let_65 false _let_66)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_58 5)) _let_64 :args ((not _let_44) true _let_58)) :args (_let_35 true _let_42 true _let_40 true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :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_37))) _let_38 :args (_let_36 false _let_1)) :args (_let_22 false _let_35 false _let_36)) _let_34 _let_31 _let_30 :args (false true _let_23 false _let_22 false _let_21 false _let_18 false _let_14)) :args (_let_10 (forall ((I $$unsorted)) (= (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.65/0.88  )
% 0.65/0.88  % SZS output end Proof for PUZ133+1
% 0.65/0.88  % cvc5---1.0.5 exiting
% 0.65/0.89  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------