%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 : Wed Aug 30 16:08:08 EDT 2023

% Result   : Theorem 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n021.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   : Mon Aug 28 02:38:58 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tcWliDuV6u/cvc5---1.0.5_21118.p...
% 0.20/0.57  ------- get file name : TPTP file name is ALG078+1
% 0.20/0.57  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21118.smt2...
% 0.20/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Theorem for ALG078+1
% 0.20/0.57  % SZS output start Proof for ALG078+1
% 0.20/0.57  (
% 0.20/0.57  (let ((_let_1 (tptp.h tptp.e14))) (let ((_let_2 (tptp.h tptp.e13))) (let ((_let_3 (tptp.h tptp.e12))) (let ((_let_4 (tptp.h tptp.e11))) (let ((_let_5 (tptp.h tptp.e10))) (let ((_let_6 (tptp.j tptp.e24))) (let ((_let_7 (tptp.h _let_6))) (let ((_let_8 (tptp.j tptp.e23))) (let ((_let_9 (tptp.h _let_8))) (let ((_let_10 (tptp.j tptp.e22))) (let ((_let_11 (tptp.j tptp.e21))) (let ((_let_12 (tptp.j tptp.e20))) (let ((_let_13 (tptp.h _let_12))) (let ((_let_14 (tptp.op2 tptp.e24 tptp.e24))) (let ((_let_15 (= (tptp.j _let_14) (tptp.op1 _let_6 _let_6)))) (let ((_let_16 (tptp.op2 tptp.e24 tptp.e23))) (let ((_let_17 (= (tptp.j _let_16) (tptp.op1 _let_6 _let_8)))) (let ((_let_18 (tptp.op2 tptp.e24 tptp.e22))) (let ((_let_19 (tptp.op2 tptp.e24 tptp.e21))) (let ((_let_20 (tptp.op2 tptp.e24 tptp.e20))) (let ((_let_21 (= (tptp.j _let_20) (tptp.op1 _let_6 _let_12)))) (let ((_let_22 (tptp.op2 tptp.e23 tptp.e24))) (let ((_let_23 (= (tptp.j _let_22) (tptp.op1 _let_8 _let_6)))) (let ((_let_24 (tptp.op2 tptp.e23 tptp.e23))) (let ((_let_25 (tptp.op2 tptp.e23 tptp.e22))) (let ((_let_26 (tptp.op2 tptp.e23 tptp.e21))) (let ((_let_27 (tptp.op2 tptp.e23 tptp.e20))) (let ((_let_28 (tptp.op2 tptp.e22 tptp.e24))) (let ((_let_29 (tptp.op2 tptp.e22 tptp.e23))) (let ((_let_30 (tptp.op2 tptp.e22 tptp.e22))) (let ((_let_31 (tptp.op2 tptp.e22 tptp.e21))) (let ((_let_32 (tptp.op2 tptp.e22 tptp.e20))) (let ((_let_33 (tptp.op2 tptp.e21 tptp.e24))) (let ((_let_34 (tptp.op2 tptp.e21 tptp.e23))) (let ((_let_35 (tptp.op2 tptp.e21 tptp.e22))) (let ((_let_36 (tptp.op2 tptp.e21 tptp.e21))) (let ((_let_37 (tptp.op2 tptp.e21 tptp.e20))) (let ((_let_38 (tptp.op2 tptp.e20 tptp.e24))) (let ((_let_39 (tptp.op2 tptp.e20 tptp.e23))) (let ((_let_40 (tptp.op2 tptp.e20 tptp.e22))) (let ((_let_41 (tptp.op2 tptp.e20 tptp.e21))) (let ((_let_42 (tptp.op2 tptp.e20 tptp.e20))) (let ((_let_43 (tptp.op1 tptp.e14 tptp.e14))) (let ((_let_44 (= (tptp.h _let_43) (tptp.op2 _let_1 _let_1)))) (let ((_let_45 (tptp.op1 tptp.e14 tptp.e13))) (let ((_let_46 (tptp.op1 tptp.e14 tptp.e12))) (let ((_let_47 (tptp.op1 tptp.e14 tptp.e11))) (let ((_let_48 (tptp.op1 tptp.e14 tptp.e10))) (let ((_let_49 (tptp.op1 tptp.e13 tptp.e14))) (let ((_let_50 (tptp.op1 tptp.e13 tptp.e13))) (let ((_let_51 (tptp.op1 tptp.e13 tptp.e12))) (let ((_let_52 (tptp.op1 tptp.e13 tptp.e11))) (let ((_let_53 (tptp.op1 tptp.e13 tptp.e10))) (let ((_let_54 (tptp.op1 tptp.e12 tptp.e14))) (let ((_let_55 (tptp.op1 tptp.e12 tptp.e13))) (let ((_let_56 (tptp.op1 tptp.e12 tptp.e12))) (let ((_let_57 (tptp.op1 tptp.e12 tptp.e11))) (let ((_let_58 (tptp.op1 tptp.e12 tptp.e10))) (let ((_let_59 (tptp.op1 tptp.e11 tptp.e14))) (let ((_let_60 (tptp.op1 tptp.e11 tptp.e13))) (let ((_let_61 (tptp.op1 tptp.e11 tptp.e12))) (let ((_let_62 (tptp.op1 tptp.e11 tptp.e11))) (let ((_let_63 (tptp.op1 tptp.e11 tptp.e10))) (let ((_let_64 (tptp.op1 tptp.e10 tptp.e14))) (let ((_let_65 (tptp.op1 tptp.e10 tptp.e13))) (let ((_let_66 (tptp.op1 tptp.e10 tptp.e12))) (let ((_let_67 (tptp.op1 tptp.e10 tptp.e11))) (let ((_let_68 (tptp.op1 tptp.e10 tptp.e10))) (let ((_let_69 (= (tptp.h _let_68) (tptp.op2 _let_5 _let_5)))) (let ((_let_70 (not (=> (and (or (= _let_5 tptp.e20) (= _let_5 tptp.e21) (= _let_5 tptp.e22) (= _let_5 tptp.e23) (= _let_5 tptp.e24)) (or (= _let_4 tptp.e20) (= _let_4 tptp.e21) (= _let_4 tptp.e22) (= _let_4 tptp.e23) (= _let_4 tptp.e24)) (or (= _let_3 tptp.e20) (= _let_3 tptp.e21) (= _let_3 tptp.e22) (= _let_3 tptp.e23) (= _let_3 tptp.e24)) (or (= _let_2 tptp.e20) (= _let_2 tptp.e21) (= _let_2 tptp.e22) (= _let_2 tptp.e23) (= _let_2 tptp.e24)) (or (= _let_1 tptp.e20) (= _let_1 tptp.e21) (= _let_1 tptp.e22) (= _let_1 tptp.e23) (= _let_1 tptp.e24)) (or (= _let_12 tptp.e10) (= _let_12 tptp.e11) (= _let_12 tptp.e12) (= _let_12 tptp.e13) (= _let_12 tptp.e14)) (or (= _let_11 tptp.e10) (= _let_11 tptp.e11) (= _let_11 tptp.e12) (= _let_11 tptp.e13) (= _let_11 tptp.e14)) (or (= _let_10 tptp.e10) (= _let_10 tptp.e11) (= _let_10 tptp.e12) (= _let_10 tptp.e13) (= _let_10 tptp.e14)) (or (= _let_8 tptp.e10) (= _let_8 tptp.e11) (= _let_8 tptp.e12) (= _let_8 tptp.e13) (= _let_8 tptp.e14)) (or (= _let_6 tptp.e10) (= _let_6 tptp.e11) (= _let_6 tptp.e12) (= _let_6 tptp.e13) (= _let_6 tptp.e14))) (not (and _let_69 (= (tptp.h _let_67) (tptp.op2 _let_5 _let_4)) (= (tptp.h _let_66) (tptp.op2 _let_5 _let_3)) (= (tptp.h _let_65) (tptp.op2 _let_5 _let_2)) (= (tptp.h _let_64) (tptp.op2 _let_5 _let_1)) (= (tptp.h _let_63) (tptp.op2 _let_4 _let_5)) (= (tptp.h _let_62) (tptp.op2 _let_4 _let_4)) (= (tptp.h _let_61) (tptp.op2 _let_4 _let_3)) (= (tptp.h _let_60) (tptp.op2 _let_4 _let_2)) (= (tptp.h _let_59) (tptp.op2 _let_4 _let_1)) (= (tptp.h _let_58) (tptp.op2 _let_3 _let_5)) (= (tptp.h _let_57) (tptp.op2 _let_3 _let_4)) (= (tptp.h _let_56) (tptp.op2 _let_3 _let_3)) (= (tptp.h _let_55) (tptp.op2 _let_3 _let_2)) (= (tptp.h _let_54) (tptp.op2 _let_3 _let_1)) (= (tptp.h _let_53) (tptp.op2 _let_2 _let_5)) (= (tptp.h _let_52) (tptp.op2 _let_2 _let_4)) (= (tptp.h _let_51) (tptp.op2 _let_2 _let_3)) (= (tptp.h _let_50) (tptp.op2 _let_2 _let_2)) (= (tptp.h _let_49) (tptp.op2 _let_2 _let_1)) (= (tptp.h _let_48) (tptp.op2 _let_1 _let_5)) (= (tptp.h _let_47) (tptp.op2 _let_1 _let_4)) (= (tptp.h _let_46) (tptp.op2 _let_1 _let_3)) (= (tptp.h _let_45) (tptp.op2 _let_1 _let_2)) _let_44 (= (tptp.j _let_42) (tptp.op1 _let_12 _let_12)) (= (tptp.j _let_41) (tptp.op1 _let_12 _let_11)) (= (tptp.j _let_40) (tptp.op1 _let_12 _let_10)) (= (tptp.j _let_39) (tptp.op1 _let_12 _let_8)) (= (tptp.j _let_38) (tptp.op1 _let_12 _let_6)) (= (tptp.j _let_37) (tptp.op1 _let_11 _let_12)) (= (tptp.j _let_36) (tptp.op1 _let_11 _let_11)) (= (tptp.j _let_35) (tptp.op1 _let_11 _let_10)) (= (tptp.j _let_34) (tptp.op1 _let_11 _let_8)) (= (tptp.j _let_33) (tptp.op1 _let_11 _let_6)) (= (tptp.j _let_32) (tptp.op1 _let_10 _let_12)) (= (tptp.j _let_31) (tptp.op1 _let_10 _let_11)) (= (tptp.j _let_30) (tptp.op1 _let_10 _let_10)) (= (tptp.j _let_29) (tptp.op1 _let_10 _let_8)) (= (tptp.j _let_28) (tptp.op1 _let_10 _let_6)) (= (tptp.j _let_27) (tptp.op1 _let_8 _let_12)) (= (tptp.j _let_26) (tptp.op1 _let_8 _let_11)) (= (tptp.j _let_25) (tptp.op1 _let_8 _let_10)) (= (tptp.j _let_24) (tptp.op1 _let_8 _let_8)) _let_23 _let_21 (= (tptp.j _let_19) (tptp.op1 _let_6 _let_11)) (= (tptp.j _let_18) (tptp.op1 _let_6 _let_10)) _let_17 _let_15 (= _let_13 tptp.e20) (= (tptp.h _let_11) tptp.e21) (= (tptp.h _let_10) tptp.e22) (= _let_9 tptp.e23) (= _let_7 tptp.e24) (= (tptp.j _let_5) tptp.e10) (= (tptp.j _let_4) tptp.e11) (= (tptp.j _let_3) tptp.e12) (= (tptp.j _let_2) tptp.e13) (= (tptp.j _let_1) tptp.e14))))))) (let ((_let_71 (and (= _let_42 tptp.e20) (= _let_41 tptp.e21) (= _let_40 tptp.e22) (= _let_39 tptp.e23) (= _let_38 tptp.e24) (= _let_37 tptp.e21) (= _let_36 tptp.e22) (= _let_35 tptp.e24) (= _let_34 tptp.e20) (= _let_33 tptp.e23) (= _let_32 tptp.e22) (= _let_31 tptp.e20) (= _let_30 tptp.e23) (= _let_29 tptp.e24) (= _let_28 tptp.e21) (= _let_27 tptp.e23) (= _let_26 tptp.e24) (= _let_25 tptp.e20) (= _let_24 tptp.e21) (= _let_22 tptp.e22) (= _let_20 tptp.e24) (= _let_19 tptp.e23) (= _let_18 tptp.e21) (= _let_16 tptp.e22) (= _let_14 tptp.e20)))) (let ((_let_72 (and (= _let_68 tptp.e10) (= _let_67 tptp.e11) (= _let_66 tptp.e12) (= _let_65 tptp.e13) (= _let_64 tptp.e14) (= _let_63 tptp.e11) (= _let_62 tptp.e14) (= _let_61 tptp.e13) (= _let_60 tptp.e10) (= _let_59 tptp.e12) (= _let_58 tptp.e12) (= _let_57 tptp.e10) (= _let_56 tptp.e14) (= _let_55 tptp.e11) (= _let_54 tptp.e13) (= _let_53 tptp.e13) (= _let_52 tptp.e12) (= _let_51 tptp.e10) (= _let_50 tptp.e14) (= _let_49 tptp.e11) (= _let_48 tptp.e14) (= _let_47 tptp.e13) (= _let_46 tptp.e11) (= _let_45 tptp.e12) (= _let_43 tptp.e10)))) (let ((_let_73 (= tptp.e23 tptp.e24))) (let ((_let_74 (not _let_73))) (let ((_let_75 (= tptp.e20 tptp.e24))) (let ((_let_76 (not _let_75))) (let ((_let_77 (= tptp.e20 tptp.e23))) (let ((_let_78 (not _let_77))) (let ((_let_79 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) _let_78 _let_76 (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) (not (= tptp.e21 tptp.e24)) (not (= tptp.e22 tptp.e23)) (not (= tptp.e22 tptp.e24)) _let_74))) (let ((_let_80 (= tptp.e12 tptp.e13))) (let ((_let_81 (not _let_80))) (let ((_let_82 (= tptp.e11 tptp.e13))) (let ((_let_83 (not _let_82))) (let ((_let_84 (= tptp.e11 tptp.e12))) (let ((_let_85 (not _let_84))) (let ((_let_86 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) _let_85 _let_83 (not (= tptp.e11 tptp.e14)) _let_81 (not (= tptp.e12 tptp.e14)) (not (= tptp.e13 tptp.e14))))) (let ((_let_87 (= tptp.e23 _let_9))) (let ((_let_88 (= tptp.e14 _let_6))) (let ((_let_89 (= tptp.e23 _let_1))) (let ((_let_90 (= tptp.e14 _let_8))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_70)) (MACRO_SR_EQ_INTRO :args (_let_70 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_91)))) (let ((_let_93 (AND_ELIM _let_92 :args (53)))) (let ((_let_94 (= tptp.e13 _let_6))) (let ((_let_95 (= tptp.e12 _let_6))) (let ((_let_96 (= tptp.e10 _let_6))) (let ((_let_97 (= tptp.e20 _let_14))) (let ((_let_98 (= tptp.e24 _let_20))) (let ((_let_99 (= tptp.e11 _let_49))) (let ((_let_100 (= tptp.e14 _let_50))) (let ((_let_101 (not _let_94))) (let ((_let_102 (AND_ELIM _let_92 :args (49)))) (let ((_let_103 (AND_ELIM _let_92 :args (45)))) (let ((_let_104 (24))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_71)) (MACRO_SR_EQ_INTRO :args (_let_71 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (AND_ELIM _let_105 :args _let_104))) (let ((_let_107 (AND_ELIM _let_105 :args (20)))) (let ((_let_108 (19))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO :args (_let_72 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (AND_ELIM _let_109 :args _let_108))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_86)) (MACRO_SR_EQ_INTRO :args (_let_86 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (AND_ELIM _let_111 :args (5)))) (let ((_let_113 (not _let_15))) (let ((_let_114 (not _let_21))) (let ((_let_115 (not _let_97))) (let ((_let_116 (not _let_98))) (let ((_let_117 (not _let_99))) (let ((_let_118 (not _let_100))) (let ((_let_119 (or))) (let ((_let_120 (REFL :args (_let_115)))) (let ((_let_121 (REFL :args (_let_117)))) (let ((_let_122 (REFL :args (_let_113)))) (let ((_let_123 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))))) (let ((_let_124 (= tptp.e11 _let_6))) (let ((_let_125 (ASSUME :args (_let_94)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (ASSUME :args (_let_124)))) (let ((_let_128 (SYMM (SYMM _let_127)))) (let ((_let_129 (ASSUME :args (_let_83)))) (let ((_let_130 (SYMM (FALSE_INTRO _let_129)))) (let ((_let_131 (APPLY_UF tptp.j))) (let ((_let_132 (ASSUME :args (_let_98)))) (let ((_let_133 (CONG (SYMM _let_132) :args _let_131))) (let ((_let_134 (ASSUME :args (_let_21)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (APPLY_UF tptp.op1))) (let ((_let_137 (ASSUME :args (_let_97)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (CONG _let_138 :args _let_131))) (let ((_let_140 (ASSUME :args (_let_15)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (SYMM _let_126))) (let ((_let_143 (ASSUME :args (_let_100)))) (let ((_let_144 (ASSUME :args (_let_99)))) (let ((_let_145 (SYMM (SYMM _let_144)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_125 (MODUS_PONENS (AND_INTRO _let_132 _let_134 _let_125 _let_137 _let_140 _let_143 _let_144) (SCOPE (TRANS _let_145 (CONG _let_142 (TRANS (SYMM (SYMM _let_143)) (CONG _let_142 _let_142 :args _let_136) _let_141 _let_139) :args _let_136) _let_135 _let_133) :args (_let_98 _let_21 _let_94 _let_97 _let_15 _let_100 _let_99))) _let_129) :args (_let_83 _let_21 _let_15 _let_100 _let_99 _let_98 _let_97 _let_94)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_130 (TRUE_INTRO (TRANS _let_128 _let_126)))) :args (_let_94 _let_124 _let_83)) :args ((not (and _let_83 _let_21 _let_15 _let_100 _let_99 _let_98 _let_97 _let_94)) SB_LITERAL))) (CONG _let_123 (REFL :args (_let_114)) _let_122 (REFL :args (_let_118)) _let_121 (REFL :args (_let_116)) _let_120 (REFL :args (_let_101)) :args _let_119)) :args ((or _let_82 _let_118 _let_117 _let_116 _let_115 _let_101 _let_114 _let_113))) _let_112 (AND_ELIM _let_109 :args (18)) _let_110 _let_107 _let_106 _let_103 _let_102 :args (_let_101 true _let_82 false _let_100 false _let_99 false _let_98 false _let_97 false _let_21 false _let_15)))) (let ((_let_147 (= tptp.e13 _let_54))) (let ((_let_148 (= tptp.e14 _let_56))) (let ((_let_149 (not _let_95))) (let ((_let_150 (AND_ELIM _let_109 :args (14)))) (let ((_let_151 (not _let_147))) (let ((_let_152 (and _let_21 _let_15 _let_148 _let_147 _let_98 _let_97 _let_95))) (let ((_let_153 (ASSUME :args (_let_95)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (ASSUME :args (_let_148)))) (let ((_let_156 (ASSUME :args (_let_147)))) (let ((_let_157 (SYMM (SYMM _let_156)))) (let ((_let_158 (= tptp.e10 _let_68))) (let ((_let_159 (= tptp.e24 _let_7))) (let ((_let_160 (= tptp.e20 _let_5))) (let ((_let_161 (= tptp.e20 _let_42))) (let ((_let_162 (not _let_96))) (let ((_let_163 (0))) (let ((_let_164 (AND_ELIM _let_92 :args (54)))) (let ((_let_165 (not _let_159))) (let ((_let_166 (and _let_69 _let_158 _let_97 _let_96 _let_159))) (let ((_let_167 (APPLY_UF tptp.h))) (let ((_let_168 (ASSUME :args (_let_158)))) (let ((_let_169 (ASSUME :args (_let_69)))) (let ((_let_170 (APPLY_UF tptp.op2))) (let ((_let_171 (ASSUME :args (_let_96)))) (let ((_let_172 (ASSUME :args (_let_159)))) (let ((_let_173 (SYMM (SYMM _let_172)))) (let ((_let_174 (TRANS _let_173 (CONG (SYMM _let_171) :args _let_167)))) (let ((_let_175 (SYMM _let_138))) (let ((_let_176 (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO :args (_let_79 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_177 (AND_ELIM _let_105 :args _let_163))) (let ((_let_178 (REFL :args (_let_165)))) (let ((_let_179 (not _let_161))) (let ((_let_180 (REFL :args (_let_179)))) (let ((_let_181 (= tptp.e24 _let_5))) (let ((_let_182 (ASSUME :args (_let_161)))) (let ((_let_183 (SYMM (SYMM _let_182)))) (let ((_let_184 (ASSUME :args (_let_160)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (ASSUME :args (_let_76)))) (let ((_let_187 (= tptp.e14 _let_62))) (let ((_let_188 (= tptp.e12 _let_59))) (let ((_let_189 (9))) (let ((_let_190 (NOT_IMPLIES_ELIM1 _let_91))) (let ((_let_191 (AND_ELIM _let_109 :args _let_189))) (let ((_let_192 (not _let_188))) (let ((_let_193 (and _let_21 _let_15 _let_187 _let_188 _let_98 _let_97 _let_124))) (let ((_let_194 (ASSUME :args (_let_187)))) (let ((_let_195 (ASSUME :args (_let_188)))) (let ((_let_196 (SYMM (SYMM _let_195)))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_193)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_134 _let_127 _let_137 _let_140 _let_194 _let_195) (SCOPE (TRANS _let_196 (CONG _let_128 (TRANS (SYMM (SYMM _let_194)) (CONG _let_128 _let_128 :args _let_136) _let_141 _let_139) :args _let_136) _let_135 _let_133) :args (_let_98 _let_21 _let_124 _let_97 _let_15 _let_187 _let_188))) :args (_let_21 _let_15 _let_187 _let_188 _let_98 _let_97 _let_124))) :args (true _let_193)) :args ((or _let_95 (not _let_187) _let_192 _let_116 _let_115 (not _let_124) _let_114 _let_113))) _let_102 _let_103 _let_106 _let_107 _let_191 (AND_ELIM _let_109 :args (6)) (AND_ELIM _let_190 :args _let_189) :args ((or _let_96 _let_95 _let_94 _let_88) false _let_15 false _let_21 false _let_97 false _let_98 false _let_188 false _let_187 false _let_124)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_182 _let_184 (MODUS_PONENS (AND_INTRO _let_171 _let_172) (SCOPE _let_174 :args (_let_96 _let_159))) _let_186) :args (_let_76 _let_161 _let_160 _let_96 _let_159)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_186)) (TRUE_INTRO (TRANS _let_183 (SYMM (TRANS (SYMM (SYMM (ASSUME :args (_let_181)))) _let_185 _let_183)))))) :args (_let_161 _let_160 _let_181 _let_76)) :args ((not (and _let_76 _let_161 _let_160 _let_96 _let_159)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) _let_180 (REFL :args ((not _let_160))) (REFL :args (_let_162)) _let_178 :args _let_119)) _let_164 _let_177 (AND_ELIM _let_176 :args (3)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_166)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 _let_169 _let_171 _let_172 _let_137) (SCOPE (TRANS _let_175 (CONG _let_174 _let_174 :args _let_170) (SYMM _let_169) (CONG (SYMM _let_168) :args _let_167)) :args (_let_158 _let_69 _let_96 _let_159 _let_97))) :args (_let_69 _let_158 _let_97 _let_96 _let_159))) :args (true _let_166)) :args ((or _let_160 (not _let_158) _let_115 _let_162 (not _let_69) _let_165))) _let_164 (AND_ELIM _let_92 :args _let_163) _let_106 (AND_ELIM _let_109 :args _let_163) :args (_let_162 false _let_159 false _let_161 true _let_75 false _let_160 false _let_159 false _let_69 false _let_97 false _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_134 _let_153 _let_137 _let_140 _let_155 _let_156) (SCOPE (TRANS _let_157 (CONG _let_154 (TRANS (SYMM (SYMM _let_155)) (CONG _let_154 _let_154 :args _let_136) _let_141 _let_139) :args _let_136) _let_135 _let_133) :args (_let_98 _let_21 _let_95 _let_97 _let_15 _let_148 _let_147))) :args (_let_21 _let_15 _let_148 _let_147 _let_98 _let_97 _let_95))) :args (true _let_152)) :args ((or _let_94 (not _let_148) _let_151 _let_116 _let_115 _let_149 _let_114 _let_113))) _let_146 (AND_ELIM _let_109 :args (12)) _let_150 _let_107 _let_106 _let_103 _let_102 :args (_let_149 true _let_94 false _let_148 false _let_147 false _let_98 false _let_97 false _let_21 false _let_15)) _let_146 :args (_let_88 true _let_96 true _let_95 true _let_94)))) (let ((_let_198 (not _let_89))) (let ((_let_199 (not _let_88))) (let ((_let_200 (REFL :args (_let_199)))) (let ((_let_201 (and _let_74 _let_88 _let_159))) (let ((_let_202 (= tptp.e24 _let_1))) (let ((_let_203 (ASSUME :args (_let_74)))) (let ((_let_204 (ASSUME :args (_let_88)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (CONG _let_205 :args _let_167))) (let ((_let_207 (TRANS _let_173 _let_206))) (let ((_let_208 (= tptp.e13 _let_8))) (let ((_let_209 (= tptp.e12 _let_8))) (let ((_let_210 (= tptp.e11 _let_8))) (let ((_let_211 (= tptp.e10 _let_8))) (let ((_let_212 (= tptp.e22 _let_16))) (let ((_let_213 (= tptp.e22 _let_22))) (let ((_let_214 (= tptp.e12 _let_45))) (let ((_let_215 (= tptp.e11 _let_67))) (let ((_let_216 (not _let_208))) (let ((_let_217 (AND_ELIM _let_92 :args (48)))) (let ((_let_218 (AND_ELIM _let_92 :args (44)))) (let ((_let_219 (23))) (let ((_let_220 (AND_ELIM _let_105 :args _let_219))) (let ((_let_221 (AND_ELIM _let_105 :args _let_108))) (let ((_let_222 (not _let_17))) (let ((_let_223 (not _let_23))) (let ((_let_224 (not _let_212))) (let ((_let_225 (not _let_213))) (let ((_let_226 (not _let_214))) (let ((_let_227 (not _let_215))) (let ((_let_228 (REFL :args (_let_224)))) (let ((_let_229 (REFL :args (_let_225)))) (let ((_let_230 (REFL :args (_let_222)))) (let ((_let_231 (REFL :args (_let_223)))) (let ((_let_232 (= tptp.e12 _let_10))) (let ((_let_233 (= tptp.e11 _let_10))) (let ((_let_234 (ASSUME :args (_let_215)))) (let ((_let_235 (SYMM (SYMM _let_234)))) (let ((_let_236 (SYMM (ASSUME :args (_let_233))))) (let ((_let_237 (SYMM (ASSUME :args (_let_232))))) (let ((_let_238 (ASSUME :args (_let_85)))) (let ((_let_239 (ASSUME :args (_let_212)))) (let ((_let_240 (CONG (SYMM _let_239) :args _let_131))) (let ((_let_241 (ASSUME :args (_let_17)))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (ASSUME :args (_let_208)))) (let ((_let_244 (SYMM (SYMM _let_243)))) (let ((_let_245 (SYMM _let_205))) (let ((_let_246 (ASSUME :args (_let_214)))) (let ((_let_247 (ASSUME :args (_let_213)))) (let ((_let_248 (CONG (SYMM _let_247) :args _let_131))) (let ((_let_249 (ASSUME :args (_let_23)))) (let ((_let_250 (SYMM _let_249))) (let ((_let_251 (= tptp.e11 _let_46))) (let ((_let_252 (not _let_209))) (let ((_let_253 (not _let_251))) (let ((_let_254 (= tptp.e13 _let_10))) (let ((_let_255 (SYMM (ASSUME :args (_let_254))))) (let ((_let_256 (ASSUME :args (_let_209)))) (let ((_let_257 (SYMM (SYMM _let_256)))) (let ((_let_258 (ASSUME :args (_let_251)))) (let ((_let_259 (= tptp.e13 _let_47))) (let ((_let_260 (= tptp.e12 _let_66))) (let ((_let_261 (not _let_210))) (let ((_let_262 (2))) (let ((_let_263 (not _let_259))) (let ((_let_264 (not _let_260))) (let ((_let_265 (ASSUME :args (_let_260)))) (let ((_let_266 (SYMM (SYMM _let_265)))) (let ((_let_267 (ASSUME :args (_let_81)))) (let ((_let_268 (ASSUME :args (_let_210)))) (let ((_let_269 (SYMM (SYMM _let_268)))) (let ((_let_270 (ASSUME :args (_let_259)))) (let ((_let_271 (= tptp.e20 _let_13))) (let ((_let_272 (= tptp.e10 _let_43))) (let ((_let_273 (not _let_211))) (let ((_let_274 (not _let_87))) (let ((_let_275 (not _let_271))) (let ((_let_276 (not _let_44))) (let ((_let_277 (not _let_272))) (let ((_let_278 (= tptp.e23 _let_5))) (let ((_let_279 (ASSUME :args (_let_78)))) (let ((_let_280 (ASSUME :args (_let_272)))) (let ((_let_281 (CONG (SYMM _let_280) :args _let_167))) (let ((_let_282 (ASSUME :args (_let_44)))) (let ((_let_283 (SYMM _let_282))) (let ((_let_284 (CONG _let_207 _let_207 :args _let_170))) (let ((_let_285 (ASSUME :args (_let_271)))) (let ((_let_286 (ASSUME :args (_let_211)))) (let ((_let_287 (ASSUME :args (_let_87)))) (let ((_let_288 (SYMM (SYMM _let_287)))) (let ((_let_289 (and _let_90 _let_88 _let_87))) (let ((_let_290 (ASSUME :args (_let_90)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_289)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_204 _let_290 _let_287) (SCOPE (TRANS _let_288 (CONG (TRANS (SYMM _let_290) _let_204) :args _let_167) _let_206) :args (_let_88 _let_90 _let_87))) :args (_let_90 _let_88 _let_87))) :args (true _let_289)) :args ((or _let_89 (not _let_90) _let_199 _let_274))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_190 :args (8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_182 (MODUS_PONENS (AND_INTRO _let_280 _let_282 _let_204 _let_172 _let_137) (SCOPE (TRANS _let_175 _let_284 _let_283 _let_281) :args (_let_272 _let_44 _let_88 _let_159 _let_97))) (MODUS_PONENS (AND_INTRO _let_280 _let_282 _let_204 _let_172 _let_137 _let_285 _let_140 _let_286 _let_287) (SCOPE (TRANS _let_288 (CONG (TRANS (SYMM _let_286) _let_280 (CONG _let_204 _let_204 :args _let_136) _let_141 _let_139) :args _let_167) (SYMM _let_285) _let_175 _let_284 _let_283 _let_281) :args (_let_272 _let_44 _let_88 _let_159 _let_97 _let_271 _let_15 _let_211 _let_87))) _let_279) :args (_let_78 _let_44 _let_15 _let_272 _let_161 _let_97 _let_211 _let_88 _let_271 _let_87 _let_159)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_279)) (TRUE_INTRO (TRANS _let_183 (SYMM (TRANS (SYMM (SYMM (ASSUME :args (_let_278)))) _let_185 _let_183)))))) :args (_let_161 _let_160 _let_278 _let_78)) :args ((not (and _let_78 _let_44 _let_15 _let_272 _let_161 _let_97 _let_211 _let_88 _let_271 _let_87 _let_159)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) (REFL :args (_let_276)) _let_122 (REFL :args (_let_277)) _let_180 _let_120 (REFL :args (_let_273)) _let_200 (REFL :args (_let_275)) (REFL :args (_let_274)) _let_178 :args _let_119)) :args ((or _let_77 _let_277 _let_179 _let_115 _let_273 _let_199 _let_276 _let_113 _let_275 _let_274 _let_165))) (AND_ELIM _let_176 :args _let_262) (AND_ELIM _let_109 :args _let_104) _let_177 _let_106 _let_197 (AND_ELIM _let_92 :args _let_104) _let_102 (AND_ELIM _let_92 :args (50)) _let_93 _let_164 :args (_let_273 true _let_77 false _let_272 false _let_161 false _let_97 false _let_88 false _let_44 false _let_15 false _let_271 false _let_87 false _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_265 (MODUS_PONENS (AND_INTRO _let_247 _let_249 _let_268 _let_204 _let_195) (SCOPE (TRANS _let_196 (CONG _let_269 _let_245 :args _let_136) _let_250 _let_248) :args (_let_213 _let_23 _let_210 _let_88 _let_188))) (MODUS_PONENS (AND_INTRO _let_239 _let_241 _let_204 _let_268 _let_270) (SCOPE (TRANS (SYMM (SYMM _let_270)) (CONG _let_245 _let_269 :args _let_136) _let_242 _let_240) :args (_let_212 _let_17 _let_88 _let_210 _let_259))) _let_267) :args (_let_81 _let_23 _let_17 _let_260 _let_188 _let_259 _let_213 _let_212 _let_210 _let_88)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_267)) (TRUE_INTRO (TRANS _let_266 (SYMM (TRANS (SYMM _let_255) _let_237 _let_266)))))) :args (_let_260 _let_232 _let_254 _let_81)) :args ((not (and _let_81 _let_23 _let_17 _let_260 _let_188 _let_259 _let_213 _let_212 _let_210 _let_88)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) _let_231 _let_230 (REFL :args (_let_264)) (REFL :args (_let_192)) (REFL :args (_let_263)) _let_229 _let_228 (REFL :args (_let_261)) _let_200 :args _let_119)) :args ((or _let_80 _let_264 _let_192 _let_263 _let_225 _let_224 _let_261 _let_199 _let_223 _let_222))) (AND_ELIM _let_111 :args (7)) (AND_ELIM _let_109 :args _let_262) _let_191 (AND_ELIM _let_109 :args (21)) _let_221 _let_220 _let_197 _let_218 _let_217 :args (_let_261 true _let_80 false _let_260 false _let_188 false _let_259 false _let_213 false _let_212 false _let_88 false _let_23 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_247 _let_249 _let_256 _let_204 _let_156) (SCOPE (TRANS _let_157 (CONG _let_257 _let_245 :args _let_136) _let_250 _let_248) :args (_let_213 _let_23 _let_209 _let_88 _let_147))) (MODUS_PONENS (AND_INTRO _let_239 _let_241 _let_204 _let_256 _let_258) (SCOPE (TRANS (SYMM (SYMM _let_258)) (CONG _let_245 _let_257 :args _let_136) _let_242 _let_240) :args (_let_212 _let_17 _let_88 _let_209 _let_251))) _let_129) :args (_let_83 _let_23 _let_17 _let_147 _let_251 _let_213 _let_212 _let_209 _let_88)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_130 (TRUE_INTRO (TRANS (SYMM _let_236) _let_255)))) :args (_let_254 _let_233 _let_83)) :args ((not (and _let_83 _let_23 _let_17 _let_147 _let_251 _let_213 _let_212 _let_209 _let_88)) SB_LITERAL))) (CONG _let_123 _let_231 _let_230 (REFL :args (_let_151)) (REFL :args (_let_253)) _let_229 _let_228 (REFL :args (_let_252)) _let_200 :args _let_119)) :args ((or _let_82 _let_151 _let_253 _let_225 _let_224 _let_252 _let_199 _let_223 _let_222))) _let_112 _let_150 (AND_ELIM _let_109 :args (22)) _let_221 _let_220 _let_197 _let_218 _let_217 :args (_let_252 true _let_82 false _let_147 false _let_251 false _let_213 false _let_212 false _let_88 false _let_23 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_234 (MODUS_PONENS (AND_INTRO _let_247 _let_249 _let_243 _let_204 _let_144) (SCOPE (TRANS _let_145 (CONG _let_244 _let_245 :args _let_136) _let_250 _let_248) :args (_let_213 _let_23 _let_208 _let_88 _let_99))) (MODUS_PONENS (AND_INTRO _let_239 _let_241 _let_204 _let_243 _let_246) (SCOPE (TRANS (SYMM (SYMM _let_246)) (CONG _let_245 _let_244 :args _let_136) _let_242 _let_240) :args (_let_212 _let_17 _let_88 _let_208 _let_214))) _let_238) :args (_let_85 _let_23 _let_17 _let_215 _let_99 _let_214 _let_213 _let_212 _let_208 _let_88)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_238)) (TRUE_INTRO (TRANS _let_235 (SYMM (TRANS (SYMM _let_237) _let_236 _let_235)))))) :args (_let_215 _let_233 _let_232 _let_85)) :args ((not (and _let_85 _let_23 _let_17 _let_215 _let_99 _let_214 _let_213 _let_212 _let_208 _let_88)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) _let_231 _let_230 (REFL :args (_let_227)) _let_121 (REFL :args (_let_226)) _let_229 _let_228 (REFL :args (_let_216)) _let_200 :args _let_119)) :args ((or _let_84 _let_227 _let_117 _let_226 _let_225 _let_224 _let_216 _let_199 _let_223 _let_222))) (AND_ELIM _let_111 :args (4)) (AND_ELIM _let_109 :args (1)) _let_110 (AND_ELIM _let_109 :args _let_219) _let_221 _let_220 _let_197 _let_218 _let_217 :args (_let_216 true _let_84 false _let_215 false _let_99 false _let_214 false _let_213 false _let_212 false _let_88 false _let_23 false _let_17)) :args (_let_90 true _let_211 true _let_210 true _let_209 true _let_208)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_201)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_203 (MODUS_PONENS (AND_INTRO _let_204 _let_172) (SCOPE _let_207 :args (_let_88 _let_159)))) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.e23)) (SYMM (ASSUME :args (_let_202))) :args (=)) (FALSE_INTRO _let_203))) :args (_let_74 _let_202))) :args (_let_74 _let_88 _let_159))) :args (true _let_201)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) _let_200 _let_178 (REFL :args (_let_198)) :args _let_119)) :args ((or _let_73 _let_198 _let_199 _let_165))) (AND_ELIM _let_176 :args _let_189) _let_197 _let_164 :args (_let_198 true _let_73 false _let_88 false _let_159)) _let_197 _let_93 :args (false false _let_90 true _let_89 false _let_88 false _let_87)) :args (_let_86 _let_79 (and (not (= tptp.e10 tptp.e20)) (not (= tptp.e10 tptp.e21)) (not (= tptp.e10 tptp.e22)) (not (= tptp.e10 tptp.e23)) (not (= tptp.e10 tptp.e24)) (not (= tptp.e11 tptp.e20)) (not (= tptp.e11 tptp.e21)) (not (= tptp.e11 tptp.e22)) (not (= tptp.e11 tptp.e23)) (not (= tptp.e11 tptp.e24)) (not (= tptp.e12 tptp.e20)) (not (= tptp.e12 tptp.e21)) (not (= tptp.e12 tptp.e22)) (not (= tptp.e12 tptp.e23)) (not (= tptp.e12 tptp.e24)) (not (= tptp.e13 tptp.e20)) (not (= tptp.e13 tptp.e21)) (not (= tptp.e13 tptp.e22)) (not (= tptp.e13 tptp.e23)) (not (= tptp.e13 tptp.e24)) (not (= tptp.e14 tptp.e20)) (not (= tptp.e14 tptp.e21)) (not (= tptp.e14 tptp.e22)) (not (= tptp.e14 tptp.e23)) (not (= tptp.e14 tptp.e24))) _let_72 _let_71 _let_70 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for ALG078+1
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------