TSTP Solution File: ALG185+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 16:08:33 EDT 2023
% Result : Theorem 0.39s 0.66s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.18 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.18 % Command : do_cvc5 %s %d
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Aug 28 05:14:12 EDT 2023
% 0.14/0.40 % CPUTime :
% 0.21/0.55 %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.66 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4SBXjhybqU/cvc5---1.0.5_20255.p...
% 0.39/0.66 ------- get file name : TPTP file name is ALG185+1
% 0.39/0.66 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20255.smt2...
% 0.39/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.39/0.66 % SZS status Theorem for ALG185+1
% 0.39/0.66 % SZS output start Proof for ALG185+1
% 0.39/0.66 (
% 0.39/0.66 (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.h _let_10))) (let ((_let_12 (tptp.j tptp.e21))) (let ((_let_13 (tptp.j tptp.e20))) (let ((_let_14 (tptp.op2 tptp.e24 tptp.e24))) (let ((_let_15 (tptp.op2 tptp.e24 tptp.e23))) (let ((_let_16 (= (tptp.j _let_15) (tptp.op1 _let_6 _let_8)))) (let ((_let_17 (tptp.op2 tptp.e24 tptp.e22))) (let ((_let_18 (tptp.op2 tptp.e24 tptp.e21))) (let ((_let_19 (= (tptp.j _let_18) (tptp.op1 _let_6 _let_12)))) (let ((_let_20 (tptp.op2 tptp.e24 tptp.e20))) (let ((_let_21 (tptp.op2 tptp.e23 tptp.e24))) (let ((_let_22 (= (tptp.j _let_21) (tptp.op1 _let_8 _let_6)))) (let ((_let_23 (tptp.op2 tptp.e23 tptp.e23))) (let ((_let_24 (tptp.op2 tptp.e23 tptp.e22))) (let ((_let_25 (= (tptp.j _let_24) (tptp.op1 _let_8 _let_10)))) (let ((_let_26 (tptp.op2 tptp.e23 tptp.e21))) (let ((_let_27 (= (tptp.j _let_26) (tptp.op1 _let_8 _let_12)))) (let ((_let_28 (tptp.op2 tptp.e23 tptp.e20))) (let ((_let_29 (= (tptp.j _let_28) (tptp.op1 _let_8 _let_13)))) (let ((_let_30 (tptp.op2 tptp.e22 tptp.e24))) (let ((_let_31 (tptp.op2 tptp.e22 tptp.e23))) (let ((_let_32 (= (tptp.j _let_31) (tptp.op1 _let_10 _let_8)))) (let ((_let_33 (tptp.op2 tptp.e22 tptp.e22))) (let ((_let_34 (tptp.op2 tptp.e22 tptp.e21))) (let ((_let_35 (= (tptp.j _let_34) (tptp.op1 _let_10 _let_12)))) (let ((_let_36 (tptp.op2 tptp.e22 tptp.e20))) (let ((_let_37 (= (tptp.j _let_36) (tptp.op1 _let_10 _let_13)))) (let ((_let_38 (tptp.op2 tptp.e21 tptp.e24))) (let ((_let_39 (tptp.op2 tptp.e21 tptp.e23))) (let ((_let_40 (tptp.op2 tptp.e21 tptp.e22))) (let ((_let_41 (tptp.op2 tptp.e21 tptp.e21))) (let ((_let_42 (tptp.op2 tptp.e21 tptp.e20))) (let ((_let_43 (tptp.op2 tptp.e20 tptp.e24))) (let ((_let_44 (tptp.op2 tptp.e20 tptp.e23))) (let ((_let_45 (tptp.op2 tptp.e20 tptp.e22))) (let ((_let_46 (tptp.op2 tptp.e20 tptp.e21))) (let ((_let_47 (tptp.op2 tptp.e20 tptp.e20))) (let ((_let_48 (tptp.op1 tptp.e14 tptp.e14))) (let ((_let_49 (tptp.op1 tptp.e14 tptp.e13))) (let ((_let_50 (tptp.op1 tptp.e14 tptp.e12))) (let ((_let_51 (tptp.op1 tptp.e14 tptp.e11))) (let ((_let_52 (tptp.op1 tptp.e14 tptp.e10))) (let ((_let_53 (tptp.op1 tptp.e13 tptp.e14))) (let ((_let_54 (tptp.op1 tptp.e13 tptp.e13))) (let ((_let_55 (tptp.op1 tptp.e13 tptp.e12))) (let ((_let_56 (tptp.op1 tptp.e13 tptp.e11))) (let ((_let_57 (tptp.op1 tptp.e13 tptp.e10))) (let ((_let_58 (tptp.op1 tptp.e12 tptp.e14))) (let ((_let_59 (tptp.op1 tptp.e12 tptp.e13))) (let ((_let_60 (tptp.op1 tptp.e12 tptp.e12))) (let ((_let_61 (tptp.op1 tptp.e12 tptp.e11))) (let ((_let_62 (tptp.op1 tptp.e12 tptp.e10))) (let ((_let_63 (tptp.op1 tptp.e11 tptp.e14))) (let ((_let_64 (tptp.op1 tptp.e11 tptp.e13))) (let ((_let_65 (tptp.op1 tptp.e11 tptp.e12))) (let ((_let_66 (tptp.op1 tptp.e11 tptp.e11))) (let ((_let_67 (tptp.op1 tptp.e11 tptp.e10))) (let ((_let_68 (tptp.op1 tptp.e10 tptp.e14))) (let ((_let_69 (tptp.op1 tptp.e10 tptp.e13))) (let ((_let_70 (tptp.op1 tptp.e10 tptp.e12))) (let ((_let_71 (tptp.op1 tptp.e10 tptp.e11))) (let ((_let_72 (tptp.op1 tptp.e10 tptp.e10))) (let ((_let_73 (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_13 tptp.e10) (= _let_13 tptp.e11) (= _let_13 tptp.e12) (= _let_13 tptp.e13) (= _let_13 tptp.e14)) (or (= _let_12 tptp.e10) (= _let_12 tptp.e11) (= _let_12 tptp.e12) (= _let_12 tptp.e13) (= _let_12 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 (= (tptp.h _let_72) (tptp.op2 _let_5 _let_5)) (= (tptp.h _let_71) (tptp.op2 _let_5 _let_4)) (= (tptp.h _let_70) (tptp.op2 _let_5 _let_3)) (= (tptp.h _let_69) (tptp.op2 _let_5 _let_2)) (= (tptp.h _let_68) (tptp.op2 _let_5 _let_1)) (= (tptp.h _let_67) (tptp.op2 _let_4 _let_5)) (= (tptp.h _let_66) (tptp.op2 _let_4 _let_4)) (= (tptp.h _let_65) (tptp.op2 _let_4 _let_3)) (= (tptp.h _let_64) (tptp.op2 _let_4 _let_2)) (= (tptp.h _let_63) (tptp.op2 _let_4 _let_1)) (= (tptp.h _let_62) (tptp.op2 _let_3 _let_5)) (= (tptp.h _let_61) (tptp.op2 _let_3 _let_4)) (= (tptp.h _let_60) (tptp.op2 _let_3 _let_3)) (= (tptp.h _let_59) (tptp.op2 _let_3 _let_2)) (= (tptp.h _let_58) (tptp.op2 _let_3 _let_1)) (= (tptp.h _let_57) (tptp.op2 _let_2 _let_5)) (= (tptp.h _let_56) (tptp.op2 _let_2 _let_4)) (= (tptp.h _let_55) (tptp.op2 _let_2 _let_3)) (= (tptp.h _let_54) (tptp.op2 _let_2 _let_2)) (= (tptp.h _let_53) (tptp.op2 _let_2 _let_1)) (= (tptp.h _let_52) (tptp.op2 _let_1 _let_5)) (= (tptp.h _let_51) (tptp.op2 _let_1 _let_4)) (= (tptp.h _let_50) (tptp.op2 _let_1 _let_3)) (= (tptp.h _let_49) (tptp.op2 _let_1 _let_2)) (= (tptp.h _let_48) (tptp.op2 _let_1 _let_1)) (= (tptp.j _let_47) (tptp.op1 _let_13 _let_13)) (= (tptp.j _let_46) (tptp.op1 _let_13 _let_12)) (= (tptp.j _let_45) (tptp.op1 _let_13 _let_10)) (= (tptp.j _let_44) (tptp.op1 _let_13 _let_8)) (= (tptp.j _let_43) (tptp.op1 _let_13 _let_6)) (= (tptp.j _let_42) (tptp.op1 _let_12 _let_13)) (= (tptp.j _let_41) (tptp.op1 _let_12 _let_12)) (= (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)) _let_37 _let_35 (= (tptp.j _let_33) (tptp.op1 _let_10 _let_10)) _let_32 (= (tptp.j _let_30) (tptp.op1 _let_10 _let_6)) _let_29 _let_27 _let_25 (= (tptp.j _let_23) (tptp.op1 _let_8 _let_8)) _let_22 (= (tptp.j _let_20) (tptp.op1 _let_6 _let_13)) _let_19 (= (tptp.j _let_17) (tptp.op1 _let_6 _let_10)) _let_16 (= (tptp.j _let_14) (tptp.op1 _let_6 _let_6)) (= (tptp.h _let_13) tptp.e20) (= (tptp.h _let_12) tptp.e21) (= _let_11 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_74 (and (= _let_47 tptp.e20) (= _let_46 tptp.e23) (= _let_45 tptp.e24) (= _let_44 tptp.e22) (= _let_43 tptp.e21) (= _let_42 tptp.e22) (= _let_41 tptp.e21) (= _let_40 tptp.e23) (= _let_39 tptp.e24) (= _let_38 tptp.e20) (= _let_36 tptp.e21) (= _let_34 tptp.e24) (= _let_33 tptp.e22) (= _let_31 tptp.e20) (= _let_30 tptp.e23) (= _let_28 tptp.e24) (= _let_26 tptp.e20) (= _let_24 tptp.e21) (= _let_23 tptp.e23) (= _let_21 tptp.e22) (= _let_20 tptp.e23) (= _let_18 tptp.e22) (= _let_17 tptp.e20) (= _let_15 tptp.e21) (= _let_14 tptp.e24)))) (let ((_let_75 (and (= _let_72 tptp.e10) (= _let_71 tptp.e13) (= _let_70 tptp.e14) (= _let_69 tptp.e11) (= _let_68 tptp.e12) (= _let_67 tptp.e14) (= _let_66 tptp.e11) (= _let_65 tptp.e13) (= _let_64 tptp.e12) (= _let_63 tptp.e10) (= _let_62 tptp.e11) (= _let_61 tptp.e10) (= _let_60 tptp.e12) (= _let_59 tptp.e14) (= _let_58 tptp.e13) (= _let_57 tptp.e12) (= _let_56 tptp.e14) (= _let_55 tptp.e10) (= _let_54 tptp.e13) (= _let_53 tptp.e11) (= _let_52 tptp.e13) (= _let_51 tptp.e12) (= _let_50 tptp.e11) (= _let_49 tptp.e10) (= _let_48 tptp.e14)))) (let ((_let_76 (= tptp.e23 tptp.e24))) (let ((_let_77 (not _let_76))) (let ((_let_78 (= tptp.e22 tptp.e23))) (let ((_let_79 (not _let_78))) (let ((_let_80 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) (not (= tptp.e20 tptp.e23)) (not (= tptp.e20 tptp.e24)) (not (= tptp.e21 tptp.e22)) (not (= tptp.e21 tptp.e23)) (not (= tptp.e21 tptp.e24)) _let_79 (not (= tptp.e22 tptp.e24)) _let_77))) (let ((_let_81 (= tptp.e13 tptp.e14))) (let ((_let_82 (not _let_81))) (let ((_let_83 (and (not (= tptp.e10 tptp.e11)) (not (= tptp.e10 tptp.e12)) (not (= tptp.e10 tptp.e13)) (not (= tptp.e10 tptp.e14)) (not (= tptp.e11 tptp.e12)) (not (= tptp.e11 tptp.e13)) (not (= tptp.e11 tptp.e14)) (not (= tptp.e12 tptp.e13)) (not (= tptp.e12 tptp.e14)) _let_82))) (let ((_let_84 (= tptp.e14 _let_56))) (let ((_let_85 (= tptp.e11 _let_53))) (let ((_let_86 (= tptp.e10 _let_49))) (let ((_let_87 (= tptp.e20 _let_31))) (let ((_let_88 (= tptp.e20 _let_26))) (let ((_let_89 (= tptp.e21 _let_24))) (let ((_let_90 (= tptp.e13 _let_8))) (let ((_let_91 (= tptp.e10 _let_10))) (let ((_let_92 (= tptp.e14 _let_10))) (let ((_let_93 (16))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_75)) (MACRO_SR_EQ_INTRO :args (_let_75 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (AND_ELIM _let_94 :args _let_93))) (let ((_let_96 (19))) (let ((_let_97 (AND_ELIM _let_94 :args _let_96))) (let ((_let_98 (23))) (let ((_let_99 (AND_ELIM _let_94 :args _let_98))) (let ((_let_100 (13))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_74)) (MACRO_SR_EQ_INTRO :args (_let_74 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (AND_ELIM _let_101 :args _let_100))) (let ((_let_103 (AND_ELIM _let_101 :args _let_93))) (let ((_let_104 (17))) (let ((_let_105 (AND_ELIM _let_101 :args _let_104))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_73)) (MACRO_SR_EQ_INTRO :args (_let_73 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_106)))) (let ((_let_108 (AND_ELIM _let_107 :args (38)))) (let ((_let_109 (AND_ELIM _let_107 :args (41)))) (let ((_let_110 (AND_ELIM _let_107 :args (42)))) (let ((_let_111 (= tptp.e14 _let_8))) (let ((_let_112 (= tptp.e12 _let_8))) (let ((_let_113 (= tptp.e11 _let_8))) (let ((_let_114 (= tptp.e10 _let_8))) (let ((_let_115 (= tptp.e10 _let_61))) (let ((_let_116 (= tptp.e11 _let_50))) (let ((_let_117 (= tptp.e24 _let_34))) (let ((_let_118 (= tptp.e10 _let_6))) (let ((_let_119 (= tptp.e12 _let_10))) (let ((_let_120 (= tptp.e12 _let_68))) (let ((_let_121 (= tptp.e13 _let_52))) (let ((_let_122 (= tptp.e13 _let_10))) (let ((_let_123 (= tptp.e10 _let_63))) (let ((_let_124 (= tptp.e12 _let_51))) (let ((_let_125 (= tptp.e11 _let_10))) (let ((_let_126 (not _let_111))) (let ((_let_127 (11))) (let ((_let_128 (AND_ELIM _let_94 :args _let_127))) (let ((_let_129 (AND_ELIM _let_94 :args (22)))) (let ((_let_130 (AND_ELIM _let_101 :args _let_127))) (let ((_let_131 (AND_ELIM _let_107 :args (36)))) (let ((_let_132 (= tptp.e13 _let_71))) (let ((_let_133 (= tptp.e14 _let_70))) (let ((_let_134 (= tptp.e22 _let_21))) (let ((_let_135 (= tptp.e22 _let_18))) (let ((_let_136 (= tptp.e21 _let_15))) (let ((_let_137 (not _let_118))) (let ((_let_138 (= tptp.e24 _let_7))) (let ((_let_139 (= tptp.e23 _let_5))) (let ((_let_140 (= tptp.e23 _let_9))) (let ((_let_141 (= tptp.e11 _let_69))) (let ((_let_142 (= tptp.e14 _let_67))) (let ((_let_143 (= tptp.e11 _let_62))) (let ((_let_144 (= tptp.e12 _let_57))) (let ((_let_145 (9))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_80)) (MACRO_SR_EQ_INTRO :args (_let_80 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (not _let_138))) (let ((_let_148 (not _let_139))) (let ((_let_149 (or))) (let ((_let_150 (REFL :args (_let_137)))) (let ((_let_151 (and _let_77 _let_118 _let_138))) (let ((_let_152 (= tptp.e24 _let_5))) (let ((_let_153 (ASSUME :args (_let_77)))) (let ((_let_154 (=))) (let ((_let_155 (APPLY_UF tptp.h))) (let ((_let_156 (ASSUME :args (_let_118)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (CONG _let_157 :args _let_155))) (let ((_let_159 (ASSUME :args (_let_138)))) (let ((_let_160 (AND_ELIM _let_107 :args (53)))) (let ((_let_161 (not _let_140))) (let ((_let_162 (not _let_114))) (let ((_let_163 (and _let_114 _let_118 _let_140))) (let ((_let_164 (ASSUME :args (_let_114)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (ASSUME :args (_let_140)))) (let ((_let_167 (SYMM (SYMM _let_166)))) (let ((_let_168 (AND_ELIM _let_94 :args (1)))) (let ((_let_169 (3))) (let ((_let_170 (AND_ELIM _let_94 :args _let_169))) (let ((_let_171 (AND_ELIM _let_94 :args (5)))) (let ((_let_172 (AND_ELIM _let_101 :args _let_96))) (let ((_let_173 (21))) (let ((_let_174 (AND_ELIM _let_101 :args _let_173))) (let ((_let_175 (AND_ELIM _let_101 :args _let_98))) (let ((_let_176 (AND_ELIM _let_107 :args (44)))) (let ((_let_177 (AND_ELIM _let_107 :args (46)))) (let ((_let_178 (AND_ELIM _let_107 :args (48)))) (let ((_let_179 (not _let_16))) (let ((_let_180 (not _let_19))) (let ((_let_181 (not _let_22))) (let ((_let_182 (not _let_113))) (let ((_let_183 (not _let_136))) (let ((_let_184 (not _let_135))) (let ((_let_185 (not _let_134))) (let ((_let_186 (not _let_142))) (let ((_let_187 (not _let_141))) (let ((_let_188 (not _let_132))) 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_let_385))) (let ((_let_421 (and _let_37 _let_32 _let_25 _let_351 _let_143 _let_115 _let_368 _let_87 _let_89 _let_119 _let_113))) (let ((_let_422 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_421)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_190 _let_229 _let_273 _let_278 _let_301 _let_298 _let_388 _let_390 _let_268 _let_271 _let_409) (SCOPE (TRANS _let_410 (CONG _let_192 _let_273 :args _let_195) _let_272 _let_270 _let_391 _let_389 (CONG _let_274 (TRANS _let_387 _let_386 (CONG _let_274 _let_191 :args _let_195) _let_279) :args _let_195) _let_230 _let_192) :args (_let_113 _let_143 _let_119 _let_115 _let_32 _let_87 _let_37 _let_368 _let_89 _let_25 _let_351))) :args (_let_37 _let_32 _let_25 _let_351 _let_143 _let_115 _let_368 _let_87 _let_89 _let_119 _let_113))) :args (true _let_421)) :args ((or _let_90 _let_407 _let_218 _let_262 _let_380 _let_284 _let_259 _let_258 _let_182 _let_379 _let_281 _let_256))) _let_110 _let_108 _let_378 _let_105 _let_102 _let_377 _let_128 _let_216 _let_365 _let_233 _let_348 _let_412 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_419)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_239 _let_360 _let_273 _let_404 _let_301 _let_298 _let_388 _let_390 _let_268 _let_271 _let_384) (SCOPE (TRANS _let_420 (CONG _let_241 _let_273 :args _let_195) _let_272 _let_270 _let_391 _let_389 (CONG _let_274 (TRANS _let_387 _let_386 (CONG _let_274 _let_240 :args _let_195) _let_405) :args _let_195) _let_361 _let_241) :args (_let_90 _let_350 _let_119 _let_366 _let_32 _let_87 _let_37 _let_368 _let_89 _let_25 _let_367))) :args (_let_37 _let_32 _let_25 _let_366 _let_350 _let_367 _let_368 _let_87 _let_89 _let_119 _let_90))) :args (true _let_419)) :args ((or _let_114 _let_402 _let_357 _let_381 _let_380 _let_284 _let_259 _let_258 _let_236 _let_379 _let_281 _let_256))) _let_110 _let_108 _let_378 _let_105 _let_102 _let_377 _let_376 _let_356 _let_401 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_418)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_164 _let_278 _let_273 _let_229 _let_301 _let_298 _let_388 _let_390 _let_268 _let_271 _let_227) (SCOPE (TRANS _let_364 (CONG _let_383 _let_273 :args _let_195) _let_272 _let_270 _let_391 _let_389 (CONG _let_274 (TRANS _let_387 _let_386 (CONG _let_274 _let_165 :args _let_195) _let_230) :args _let_195) _let_279 _let_383) :args (_let_114 _let_115 _let_119 _let_143 _let_32 _let_87 _let_37 _let_368 _let_89 _let_25 _let_133))) :args (_let_37 _let_32 _let_25 _let_133 _let_143 _let_115 _let_368 _let_87 _let_89 _let_119 _let_114))) :args (true _let_418)) :args ((or _let_111 _let_220 _let_218 _let_262 _let_380 _let_284 _let_259 _let_258 _let_162 _let_379 _let_281 _let_256))) _let_348 _let_110 _let_108 _let_378 _let_105 _let_102 _let_377 _let_128 _let_216 _let_213 :args (_let_258 false _let_25 false _let_32 false _let_37 false _let_89 false _let_87 false _let_368 false _let_115 false _let_143 false _let_351 false _let_113 true _let_111 true _let_112 true _let_90 false _let_25 false _let_32 false _let_37 false _let_89 false _let_87 false _let_368 false _let_367 false _let_350 false _let_366 true _let_114 true _let_111 false _let_25 false _let_32 false _let_37 false _let_89 false _let_87 false _let_368 false _let_115 false _let_143 false _let_133)))) (let ((_let_423 (and _let_32 _let_27 _let_25 _let_142 _let_123 _let_124 _let_87 _let_88 _let_89 _let_92 _let_113))) (let ((_let_424 (and _let_32 _let_27 _let_25 _let_132 _let_142 _let_123 _let_87 _let_88 _let_89 _let_91 _let_113))) (let ((_let_425 (and _let_125 _let_113 _let_305))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_425)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_190 _let_332 _let_323) (SCOPE (TRANS _let_324 (CONG (TRANS _let_333 _let_190) :args _let_155) _let_417) :args (_let_113 _let_125 _let_305))) :args (_let_125 _let_113 _let_305))) :args (true _let_425)) :args ((or _let_413 _let_328 _let_182 _let_318))) _let_317 _let_325 _let_406 _let_422 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_424)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_287 _let_337 _let_190 _let_211 _let_271 _let_268 _let_294 _let_296 _let_298 _let_301 _let_196) (SCOPE (TRANS _let_247 (CONG _let_289 _let_190 :args _let_195) _let_302 _let_300 _let_297 _let_295 (CONG _let_191 (TRANS _let_293 _let_292 (CONG _let_191 _let_288 :args _let_195) _let_212) :args _let_195) _let_338 _let_289) :args (_let_91 _let_123 _let_113 _let_142 _let_25 _let_89 _let_27 _let_88 _let_87 _let_32 _let_132))) :args (_let_32 _let_27 _let_25 _let_132 _let_142 _let_123 _let_87 _let_88 _let_89 _let_91 _let_113))) :args (true _let_424)) :args ((or _let_122 _let_188 _let_186 _let_330 _let_284 _let_283 _let_259 _let_282 _let_182 _let_281 _let_280 _let_256))) _let_406 _let_110 _let_109 _let_108 _let_105 _let_103 _let_102 _let_326 _let_171 _let_168 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_423)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_321 _let_211 _let_190 _let_337 _let_271 _let_268 _let_294 _let_296 _let_298 _let_301 _let_335) (SCOPE (TRANS (SYMM _let_336) (CONG _let_359 _let_190 :args _let_195) _let_302 _let_300 _let_297 _let_295 (CONG _let_191 (TRANS _let_293 _let_292 (CONG _let_191 _let_322 :args _let_195) _let_338) :args _let_195) _let_212 _let_359) :args (_let_92 _let_142 _let_113 _let_123 _let_25 _let_89 _let_27 _let_88 _let_87 _let_32 _let_124))) :args (_let_32 _let_27 _let_25 _let_142 _let_123 _let_124 _let_87 _let_88 _let_89 _let_92 _let_113))) :args (true _let_423)) :args ((or _let_119 _let_186 _let_330 _let_329 _let_284 _let_283 _let_259 _let_319 _let_182 _let_281 _let_280 _let_256))) _let_422 _let_110 _let_109 _let_108 _let_105 _let_103 _let_102 _let_327 _let_326 _let_171 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_415)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_313 (MODUS_PONENS (AND_INTRO _let_190 _let_166) (SCOPE (TRANS _let_167 _let_417) :args (_let_113 _let_140)))) (SCOPE (FALSE_ELIM (TRANS (CONG _let_315 (SYMM (ASSUME :args (_let_416))) :args _let_154) _let_314)) :args (_let_79 _let_416))) :args (_let_79 _let_113 _let_140))) :args (true _let_415)) (CONG _let_310 (REFL :args (_let_182)) _let_309 (REFL :args (_let_414)) :args _let_149)) :args ((or _let_78 _let_414 _let_182 _let_161))) _let_160 _let_307 :args (_let_182 false _let_305 false _let_125 true _let_122 true _let_119 true _let_91 true _let_122 false _let_25 false _let_27 false _let_32 false _let_89 false _let_88 false _let_87 false _let_123 false _let_142 false _let_132 true _let_92 true _let_119 false _let_25 false _let_27 false _let_32 false _let_89 false _let_88 false _let_87 false _let_124 false _let_123 false _let_142 true _let_413 false _let_140 true _let_78)))) (let ((_let_427 (= tptp.e22 _let_5))) (let ((_let_428 (not _let_427))) (let ((_let_429 (and _let_79 _let_114 _let_140))) (let ((_let_430 (CONG _let_165 :args _let_155))) (let ((_let_431 (and _let_32 _let_27 _let_25 _let_133 _let_120 _let_121 _let_87 _let_88 _let_89 _let_92 _let_114))) (let ((_let_432 (= tptp.e24 _let_28))) (let ((_let_433 (and _let_32 _let_29 _let_369 _let_367 _let_87 _let_432 _let_125 _let_90))) (let ((_let_434 (ASSUME :args (_let_432)))) (let ((_let_435 (ASSUME :args (_let_29)))) (let ((_let_436 (and _let_37 _let_32 _let_25 _let_132 _let_142 _let_123 _let_368 _let_87 _let_89 _let_125 _let_114))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_436)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_164 _let_337 _let_332 _let_211 _let_301 _let_298 _let_388 _let_390 _let_268 _let_271 _let_196) (SCOPE (TRANS _let_247 (CONG _let_383 _let_332 :args _let_195) _let_272 _let_270 _let_391 _let_389 (CONG _let_333 (TRANS _let_387 _let_386 (CONG _let_333 _let_165 :args _let_195) _let_212) :args _let_195) _let_338 _let_383) :args (_let_114 _let_123 _let_125 _let_142 _let_32 _let_87 _let_37 _let_368 _let_89 _let_25 _let_132))) :args (_let_37 _let_32 _let_25 _let_132 _let_142 _let_123 _let_368 _let_87 _let_89 _let_125 _let_114))) :args (true _let_436)) :args ((or _let_90 _let_188 _let_186 _let_330 _let_380 _let_284 _let_259 _let_328 _let_162 _let_379 _let_281 _let_256))) _let_110 _let_108 _let_378 _let_105 _let_102 _let_377 _let_326 _let_171 _let_168 _let_233 _let_348 _let_426 _let_412 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_433)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_434 _let_435 _let_239 _let_298 _let_301 _let_332 _let_399 _let_384) (SCOPE (TRANS _let_420 (CONG _let_241 (TRANS _let_400 (CONG _let_334 _let_241 :args _let_195) _let_302 _let_300) :args _let_195) (SYMM _let_435) (CONG (SYMM _let_434) :args _let_200)) :args (_let_432 _let_29 _let_90 _let_87 _let_32 _let_125 _let_369 _let_367))) :args (_let_32 _let_29 _let_369 _let_367 _let_87 _let_432 _let_125 _let_90))) :args (true _let_433)) :args ((or _let_118 _let_395 _let_381 _let_284 (not _let_432) _let_328 _let_236 _let_281 (not _let_29)))) _let_255 (AND_ELIM _let_107 :args (40)) _let_108 (AND_ELIM _let_101 :args _let_234) _let_102 _let_376 _let_393 :args (_let_328 false _let_25 false _let_32 false _let_37 false _let_89 false _let_87 false _let_368 false _let_123 false _let_142 false _let_132 false _let_114 true _let_111 true _let_113 true _let_112 true _let_90 true _let_118 false _let_29 false _let_32 false _let_432 false _let_87 false _let_367 false _let_369)))) (let ((_let_438 (and _let_91 _let_114 _let_305))) (let ((_let_439 (MACRO_RESOLUTION_TRUST _let_233 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_438)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_164 _let_287 _let_323) (SCOPE (TRANS _let_324 (CONG (TRANS _let_288 _let_164) :args _let_155) _let_430) :args (_let_114 _let_91 _let_305))) :args (_let_91 _let_114 _let_305))) :args (true _let_438)) :args ((or _let_427 _let_282 _let_162 _let_318))) _let_317 _let_325 _let_406 _let_422 _let_437 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_431)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_321 _let_227 _let_164 _let_225 _let_271 _let_268 _let_294 _let_296 _let_298 _let_301 _let_252) (SCOPE (TRANS _let_254 (CONG _let_359 _let_164 :args _let_195) _let_302 _let_300 _let_297 _let_295 (CONG _let_165 (TRANS _let_293 _let_292 (CONG _let_165 _let_322 :args _let_195) _let_226) :args _let_195) _let_228 _let_359) :args (_let_92 _let_133 _let_114 _let_120 _let_25 _let_89 _let_27 _let_88 _let_87 _let_32 _let_121))) :args (_let_32 _let_27 _let_25 _let_133 _let_120 _let_121 _let_87 _let_88 _let_89 _let_92 _let_114))) :args (true _let_431)) :args ((or _let_122 _let_220 _let_219 _let_245 _let_284 _let_283 _let_259 _let_319 _let_162 _let_281 _let_280 _let_256))) _let_406 _let_110 _let_109 _let_108 _let_105 _let_103 _let_102 _let_244 _let_214 _let_213 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_429)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_313 (MODUS_PONENS (AND_INTRO _let_164 _let_166) (SCOPE (TRANS _let_167 _let_430) :args (_let_114 _let_140)))) (SCOPE (FALSE_ELIM (TRANS (CONG _let_315 (SYMM (ASSUME :args (_let_139))) :args _let_154) _let_314)) :args (_let_79 _let_139))) :args (_let_79 _let_114 _let_140))) :args (true _let_429)) (CONG _let_310 (REFL :args (_let_162)) _let_309 (REFL :args (_let_428)) :args _let_149)) :args ((or _let_78 _let_428 _let_162 _let_161))) _let_160 _let_307 :args (_let_162 false _let_305 false _let_91 true _let_122 true _let_119 true _let_125 true _let_92 true _let_122 false _let_25 false _let_27 false _let_32 false _let_89 false _let_88 false _let_87 false _let_121 false _let_120 false _let_133 true _let_427 false _let_140 true _let_78)) _let_426 _let_412 _let_348 :args (_let_90 true _let_114 true _let_113 true _let_112 true _let_111)))) (let ((_let_440 (and _let_32 _let_27 _let_25 _let_141 _let_144 _let_367 _let_87 _let_88 _let_89 _let_91 _let_90))) (let ((_let_441 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_440)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_287 _let_384 _let_239 _let_242 _let_271 _let_268 _let_294 _let_296 _let_298 _let_301 _let_193) (SCOPE (TRANS _let_392 (CONG _let_289 _let_239 :args _let_195) _let_302 _let_300 _let_297 _let_295 (CONG _let_240 (TRANS _let_293 _let_292 (CONG _let_240 _let_288 :args _let_195) _let_243) :args _let_195) _let_385 _let_289) :args (_let_91 _let_367 _let_90 _let_144 _let_25 _let_89 _let_27 _let_88 _let_87 _let_32 _let_141))) :args (_let_32 _let_27 _let_25 _let_141 _let_144 _let_367 _let_87 _let_88 _let_89 _let_91 _let_90))) :args (true _let_440)) :args ((or _let_125 _let_187 _let_237 _let_381 _let_284 _let_283 _let_259 _let_282 _let_236 _let_281 _let_280 _let_256))) _let_437 _let_170 _let_235 _let_376 _let_102 _let_103 _let_105 _let_439 _let_108 _let_109 _let_110 :args (_let_282 true _let_125 false _let_141 false _let_144 false _let_367 false _let_87 false _let_88 false _let_89 false _let_90 false _let_32 false _let_27 false _let_25)))) (let ((_let_442 (and _let_32 _let_27 _let_25 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89 _let_92 _let_90))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_442)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_321 _let_397 _let_239 _let_346 _let_271 _let_268 _let_294 _let_296 _let_298 _let_301 _let_290) (SCOPE (TRANS _let_362 (CONG _let_359 _let_239 :args _let_195) _let_302 _let_300 _let_297 _let_295 (CONG _let_240 (TRANS _let_293 _let_292 (CONG _let_240 _let_322 :args _let_195) _let_347) :args _let_195) _let_398 _let_359) :args (_let_92 _let_84 _let_90 _let_85 _let_25 _let_89 _let_27 _let_88 _let_87 _let_32 _let_86))) :args (_let_32 _let_27 _let_25 _let_84 _let_85 _let_86 _let_87 _let_88 _let_89 _let_92 _let_90))) :args (true _let_442)) :args ((or _let_91 _let_394 _let_341 _let_285 _let_284 _let_283 _let_259 _let_319 _let_236 _let_281 _let_280 _let_256))) (MACRO_RESOLUTION_TRUST _let_325 _let_441 _let_437 _let_422 _let_406 :args (_let_92 true _let_91 true _let_125 true _let_119 true _let_122)) _let_441 _let_439 _let_110 _let_109 _let_108 _let_105 _let_103 _let_102 _let_99 _let_97 _let_95 :args (false false _let_92 true _let_91 false _let_90 false _let_25 false _let_27 false _let_32 false _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84)) :args (_let_83 _let_80 (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_75 _let_74 _let_73 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.39/0.67 )
% 0.39/0.67 % SZS output end Proof for ALG185+1
% 0.39/0.67 % cvc5---1.0.5 exiting
% 0.39/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------