%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 00:27:29 EDT 2023

% Result   : Theorem 0.44s 0.64s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 29 02:31:16 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.44/0.64  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Q88CuZnfFE/cvc5---1.0.5_27298.p...
% 0.44/0.64  ------- get file name : TPTP file name is GRP775+1
% 0.44/0.64  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27298.smt2...
% 0.44/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.64  % SZS status Theorem for GRP775+1
% 0.44/0.64  % SZS output start Proof for GRP775+1
% 0.44/0.64  (
% 0.44/0.64  (let ((_let_1 (not (forall ((X7 $$unsorted) (X8 $$unsorted)) (= (tptp.d X7 X8) (and (= (tptp.product X7 (tptp.product X8 X7)) X7) (= (tptp.product X8 (tptp.product X7 X8)) X8))))))) (let ((_let_2 (forall ((X4 $$unsorted) (X5 $$unsorted)) (= (tptp.d X4 X5) (exists ((X6 $$unsorted)) (and (tptp.r X4 X6) (tptp.l X6 X5))))))) (let ((_let_3 (forall ((X2 $$unsorted) (X3 $$unsorted)) (= (tptp.r X2 X3) (and (= (tptp.product X2 X3) X3) (= (tptp.product X3 X2) X2)))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.l X0 X1) (and (= (tptp.product X0 X1) X0) (= (tptp.product X1 X0) X1)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.product A A) A)))) (let ((_let_6 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.product (tptp.product A B) C) (tptp.product A (tptp.product B C)))))) (let ((_let_7 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_10 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_13 (and _let_12 _let_9))) (let ((_let_14 (tptp.d SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (not _let_13))) (let ((_let_17 (forall ((X6 $$unsorted)) (or (not (tptp.r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X6)) (not (tptp.l X6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (= _let_14 _let_18))) (let ((_let_20 (tptp.l _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (tptp.product _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (= _let_7 _let_25))) (let ((_let_27 (and _let_26 _let_9))) (let ((_let_28 (= _let_20 _let_27))) (let ((_let_29 (tptp.product _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29))) (let ((_let_31 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_32 (= _let_7 _let_31))) (let ((_let_33 (and _let_32 _let_30))) (let ((_let_34 (= _let_22 _let_33))) (let ((_let_35 (= _let_11 _let_29))) (let ((_let_36 (forall ((X7 $$unsorted) (X8 $$unsorted)) (= (tptp.d X7 X8) (and (= X7 (tptp.product X7 (tptp.product X8 X7))) (= X8 (tptp.product X8 (tptp.product X7 X8)))))))) (let ((_let_37 (not _let_15))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (_let_15))) (let ((_let_43 (forall ((X4 $$unsorted) (X5 $$unsorted)) (= (tptp.d X4 X5) (not (forall ((X6 $$unsorted)) (or (not (tptp.r X4 X6)) (not (tptp.l X6 X5))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.d X4 X5)))) :args (_let_43))) _let_44 :args (_let_19 false _let_43)))) (let ((_let_46 (not _let_19))) (let ((_let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_48 (_let_19))) (let ((_let_49 (_let_17))) (let ((_let_50 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_51 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_50))) (let ((_let_52 (= _let_25 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50)))) (let ((_let_53 (forall ((A $$unsorted)) (= A (tptp.product A A))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.product A A)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_51 false _let_53)))) (let ((_let_58 (_let_6))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.product (tptp.product A B) C)))) (let ((_let_61 (not _let_51))) (let ((_let_62 (and _let_52 _let_51))) (let ((_let_63 (_let_52 _let_51))) (let ((_let_64 (ASSUME :args (_let_52)))) (let ((_let_65 (APPLY_UF tptp.product))) (let ((_let_66 (ASSUME :args (_let_51)))) (let ((_let_67 (SYMM (SYMM _let_66)))) (let ((_let_68 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_69 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.l X0 X1) (and (= X0 (tptp.product X0 X1)) (= X1 (tptp.product X1 X0))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (forall ((X2 $$unsorted) (X3 $$unsorted)) (= (tptp.r X2 X3) (and (= X3 (tptp.product X2 X3)) (= X2 (tptp.product X3 X2))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (_let_72))) (let ((_let_75 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_75))) (let ((_let_77 (= _let_31 (tptp.product _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_76 false _let_53)))) (let ((_let_79 ((tptp.product A (tptp.product B C))))) (let ((_let_80 (not _let_76))) (let ((_let_81 (and _let_77 _let_76))) (let ((_let_82 (_let_77 _let_76))) (let ((_let_83 (ASSUME :args (_let_77)))) (let ((_let_84 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_85 (ASSUME :args (_let_76)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58))) _let_59 :args (_let_35 false _let_6)))) (let ((_let_88 (and _let_12 _let_35))) (let ((_let_89 (ASSUME :args (_let_35)))) (let ((_let_90 (SYMM (SYMM _let_89)))) (let ((_let_91 (ASSUME :args (_let_12)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_91) (SCOPE (TRANS (SYMM (SYMM _let_91)) _let_90) :args (_let_35 _let_12))) :args (_let_12 _let_35))) :args (true _let_88)) _let_87 (REORDERING (CNF_AND_NEG :args (_let_33)) :args ((or _let_33 (not _let_30) (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_85) (SCOPE (TRANS (CONG (SYMM _let_86) _let_84 :args _let_65) (SYMM _let_83)) :args _let_82)) :args _let_82)) :args (true _let_81)) :args ((or _let_32 (not _let_77) _let_80))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58))) _let_59 :args (_let_77 false _let_6)) _let_78 :args (_let_32 false _let_77 false _let_76)) (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_22 (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product X3 X2)))) :args _let_74)) _let_73 :args (_let_34 false _let_72)) (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_21 _let_23 (not _let_24)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_20 (not _let_27) (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.product X1 X0)))) :args _let_71)) _let_70 :args (_let_28 false _let_69)) (REORDERING (CNF_AND_NEG :args (_let_27)) :args ((or (not _let_9) _let_27 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_66) (SCOPE (TRANS (CONG _let_68 _let_67 :args _let_65) (SYMM _let_64)) :args _let_63)) :args _let_63)) :args (true _let_62)) :args ((or _let_26 (not _let_52) _let_61))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_52 false _let_6)) _let_57 :args (_let_26 false _let_52 false _let_51)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X6) false))))) :args _let_49)) (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_9 _let_16))) (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_12 _let_16))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_48) (CONG (REFL :args (_let_46)) (REFL :args (_let_14)) _let_47 :args _let_39)) :args ((or _let_14 _let_17 _let_46))) _let_45 (REORDERING (CNF_EQUIV_NEG1 :args _let_42) :args ((or _let_14 _let_13 _let_15))) _let_41 :args (_let_14 false _let_35 true _let_30 false _let_32 true _let_33 false _let_34 true _let_22 false _let_20 false _let_28 false _let_27 false _let_26 false _let_24 false _let_9 false _let_12 false _let_17 false _let_19 false _let_13 true _let_15)))) (let ((_let_93 (tptp.product _let_10 _let_10))) (let ((_let_94 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10))) (let ((_let_95 (= (tptp.product _let_94 _let_10) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_93)))) (let ((_let_96 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_97 (= _let_94 (tptp.product _let_96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_99 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_96))) (let ((_let_100 (= (tptp.product _let_75 _let_10) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11)))) (let ((_let_101 (= _let_10 _let_93))) (let ((_let_102 (= (tptp.product _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_75)))) (let ((_let_103 (= _let_93 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11)))) (let ((_let_104 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_93))) (let ((_let_105 (tptp.product _let_11 _let_10))) (let ((_let_106 (= _let_105 _let_104))) (let ((_let_107 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_108 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_107))) (let ((_let_109 (and _let_108 _let_98))) (let ((_let_110 (tptp.r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_111 (= _let_110 _let_109))) (let ((_let_112 (tptp.l SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_113 (not _let_112))) (let ((_let_114 (not _let_110))) (let ((_let_115 (or _let_114 _let_113))) (let ((_let_116 (not _let_115))) (let ((_let_117 (_let_18))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117)) (CONG _let_47 (REFL :args (_let_116)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_48) :args ((or (not _let_14) _let_18 _let_46))) _let_92 _let_45 :args (_let_18 false _let_14 false _let_19)) :args (_let_116 true _let_17)))) (let ((_let_119 (REFL :args (_let_115)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_111)) :args ((or _let_114 _let_109 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_115 0)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_110))) :args _let_39)) :args ((or _let_110 _let_115))) _let_118 :args (_let_110 true _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.r X2 X3)))) :args _let_74)) _let_73 :args (_let_111 false _let_72)) :args (_let_109 false _let_110 false _let_111)))) (let ((_let_121 (not _let_109))) (let ((_let_122 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_123 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_122))) (let ((_let_124 (and _let_99 _let_123))) (let ((_let_125 (= _let_112 _let_124))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_125)) :args ((or _let_113 _let_124 (not _let_125)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_115 1)) (CONG _let_119 (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_112))) :args _let_39)) :args ((or _let_112 _let_115))) _let_118 :args (_let_112 true _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.l X0 X1)))) :args _let_71)) _let_70 :args (_let_125 false _let_69)) :args (_let_124 false _let_112 false _let_125)))) (let ((_let_127 (not _let_124))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_101 false _let_53)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_102 false _let_6)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58)) _let_59 :args (_let_103 false _let_6)))) (let ((_let_131 (not 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(ASSUME :args (_let_95)))) (let ((_let_153 (ASSUME :args (_let_103)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (REFL :args (_let_10)))) (let ((_let_156 (ASSUME :args (_let_100)))) (let ((_let_157 (CONG _let_84 (TRANS (SYMM _let_156) (CONG _let_86 _let_155 :args _let_65)) :args _let_65))) (let ((_let_158 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_159 (tptp.product _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_160 (= (tptp.product _let_159 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.product _let_8 _let_107)))) (let ((_let_161 (= (tptp.product _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_107)))) (let ((_let_162 (tptp.product _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_163 (= _let_162 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_122)))) (let ((_let_164 (= (tptp.product _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_162)))) (let ((_let_165 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_166 (= (tptp.product _let_50 _let_7) _let_165))) (let ((_let_167 (= _let_159 (tptp.product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29)))) (let ((_let_168 (and _let_167 _let_103 _let_35 _let_102 _let_101 _let_166 _let_76 _let_51 _let_123 _let_108 _let_164 _let_163 _let_161 _let_160))) (let ((_let_169 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_165))) (let ((_let_170 (= _let_8 _let_165))) (let ((_let_171 (ASSUME :args (_let_166)))) (let ((_let_172 (SYMM (SYMM _let_171)))) (let ((_let_173 (CONG _let_67 (REFL :args (_let_7)) :args _let_65))) (let ((_let_174 (ASSUME :args (_let_123)))) (let ((_let_175 (ASSUME :args (_let_163)))) (let ((_let_176 (ASSUME :args (_let_164)))) (let ((_let_177 (ASSUME :args (_let_108)))) (let ((_let_178 (ASSUME :args (_let_160)))) (let ((_let_179 (ASSUME :args (_let_167)))) (let ((_let_180 (ASSUME :args (_let_161)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_168)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_171 _let_66) (SCOPE (TRANS _let_173 _let_172) :args (_let_166 _let_51))) (MODUS_PONENS (AND_INTRO _let_171 _let_66 _let_174 _let_175 _let_176 _let_177 _let_178 _let_179 _let_89 _let_153 _let_139 _let_85 _let_142 _let_180) (SCOPE (TRANS _let_174 (CONG _let_84 _let_177 :args _let_65) (SYMM _let_180) (CONG (TRANS _let_146 _let_144 (TRANS _let_154 (CONG _let_84 _let_90 :args _let_65) (SYMM _let_179))) _let_158 :args _let_65) (SYMM (SYMM _let_178)) (CONG (REFL :args (_let_8)) (SYMM _let_177) :args _let_65) (SYMM (SYMM _let_176)) (CONG _let_84 (TRANS (SYMM (SYMM _let_175)) (CONG _let_68 (SYMM _let_174) :args _let_65)) :args _let_65) _let_173 _let_172) :args (_let_166 _let_51 _let_123 _let_163 _let_164 _let_108 _let_160 _let_167 _let_35 _let_103 _let_101 _let_76 _let_102 _let_161)))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_169)))) (SYMM (ASSUME :args (_let_170)))) :args (_let_170 _let_169))) :args (_let_167 _let_103 _let_35 _let_102 _let_101 _let_166 _let_76 _let_51 _let_123 _let_108 _let_164 _let_163 _let_161 _let_160))) :args (true _let_168)) :args ((or _let_9 (not _let_167) _let_133 (not _let_35) _let_132 _let_131 (not _let_166) _let_80 _let_61 (not _let_123) (not _let_108) (not _let_164) (not _let_163) (not _let_161) (not _let_160)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_167 false _let_6)) _let_130 _let_87 _let_129 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58)) _let_59 :args (_let_166 false _let_6)) _let_78 _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 1)) :args ((or _let_123 _let_127))) _let_126 :args (_let_123 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_108 _let_121))) _let_120 :args (_let_108 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_164 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58)) _let_59 :args (_let_163 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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_let_153 _let_156) (SCOPE (TRANS _let_147 (SYMM _let_149) _let_151 (CONG _let_158 (TRANS _let_140 _let_154 (SYMM _let_157)) :args _let_65) (CONG _let_158 (TRANS _let_157 (SYMM _let_154)) :args _let_65) (SYMM _let_152) (CONG (TRANS (SYMM _let_151) _let_149 (SYMM _let_147)) _let_146 :args _let_65) _let_145) :args (_let_101 _let_76 _let_102 _let_98 _let_99 _let_97 _let_95 _let_103 _let_100)))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_135)))) _let_138 (SYMM (ASSUME :args (_let_136)))) :args (_let_136 _let_106 _let_135))) :args (_let_106 _let_103 _let_102 _let_101 _let_100 _let_76 _let_99 _let_98 _let_97 _let_95))) :args (true _let_134)) :args ((or _let_12 (not _let_106) _let_133 _let_132 _let_131 (not _let_100) _let_80 (not _let_99) (not _let_98) (not _let_97) (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_106 false _let_6)) _let_130 _let_129 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_58)) _let_59 :args (_let_100 false _let_6)) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_124 0)) :args ((or _let_99 _let_127))) _let_126 :args (_let_99 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 1)) :args ((or _let_98 _let_121))) _let_120 :args (_let_98 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58))) _let_59 :args (_let_97 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_95 false _let_6)) :args (_let_12 false _let_106 false _let_103 false _let_102 false _let_101 false _let_100 false _let_76 false _let_99 false _let_98 false _let_97 false _let_95)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_42) _let_41 _let_92 :args (_let_16 true _let_15 false _let_14)) :args (false false _let_9 false _let_12 true _let_13)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.65  )
% 0.44/0.65  % SZS output end Proof for GRP775+1
% 0.44/0.65  % cvc5---1.0.5 exiting
% 0.44/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------