TSTP Solution File: ALG089+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 16:08:10 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 : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n020.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 03:55:29 EDT 2023
% 0.20/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ulPA0QCWvz/cvc5---1.0.5_32131.p...
% 0.20/0.57 ------- get file name : TPTP file name is ALG089+1
% 0.20/0.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32131.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 ALG089+1
% 0.20/0.57 % SZS output start Proof for ALG089+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 _let_5))) (let ((_let_7 (tptp.j tptp.e24))) (let ((_let_8 (tptp.h _let_7))) (let ((_let_9 (tptp.j tptp.e23))) (let ((_let_10 (tptp.h _let_9))) (let ((_let_11 (tptp.j tptp.e22))) (let ((_let_12 (tptp.j tptp.e21))) (let ((_let_13 (tptp.j tptp.e20))) (let ((_let_14 (tptp.h _let_13))) (let ((_let_15 (tptp.op2 tptp.e24 tptp.e24))) (let ((_let_16 (tptp.op2 tptp.e24 tptp.e23))) (let ((_let_17 (tptp.op2 tptp.e24 tptp.e22))) (let ((_let_18 (tptp.op2 tptp.e24 tptp.e21))) (let ((_let_19 (tptp.op2 tptp.e24 tptp.e20))) (let ((_let_20 (tptp.op2 tptp.e23 tptp.e24))) (let ((_let_21 (tptp.op2 tptp.e23 tptp.e23))) (let ((_let_22 (tptp.op2 tptp.e23 tptp.e22))) (let ((_let_23 (tptp.op2 tptp.e23 tptp.e21))) (let ((_let_24 (tptp.op2 tptp.e23 tptp.e20))) (let ((_let_25 (tptp.op2 tptp.e22 tptp.e24))) (let ((_let_26 (tptp.op2 tptp.e22 tptp.e23))) (let ((_let_27 (tptp.op2 tptp.e22 tptp.e22))) (let ((_let_28 (tptp.op2 tptp.e22 tptp.e21))) (let ((_let_29 (tptp.op2 tptp.e22 tptp.e20))) (let ((_let_30 (tptp.op2 tptp.e21 tptp.e24))) (let ((_let_31 (tptp.op2 tptp.e21 tptp.e23))) (let ((_let_32 (tptp.op2 tptp.e21 tptp.e22))) (let ((_let_33 (tptp.op2 tptp.e21 tptp.e21))) (let ((_let_34 (tptp.op2 tptp.e21 tptp.e20))) (let ((_let_35 (tptp.op2 tptp.e20 tptp.e24))) (let ((_let_36 (tptp.op2 tptp.e20 tptp.e23))) (let ((_let_37 (tptp.op2 tptp.e20 tptp.e22))) (let ((_let_38 (tptp.op2 tptp.e20 tptp.e21))) (let ((_let_39 (tptp.op2 tptp.e20 tptp.e20))) (let ((_let_40 (tptp.op1 tptp.e14 tptp.e14))) (let ((_let_41 (= (tptp.h _let_40) (tptp.op2 _let_1 _let_1)))) (let ((_let_42 (tptp.op1 tptp.e14 tptp.e13))) (let ((_let_43 (tptp.op1 tptp.e14 tptp.e12))) (let ((_let_44 (tptp.op1 tptp.e14 tptp.e11))) (let ((_let_45 (tptp.op1 tptp.e14 tptp.e10))) (let ((_let_46 (tptp.op1 tptp.e13 tptp.e14))) (let ((_let_47 (tptp.op1 tptp.e13 tptp.e13))) (let ((_let_48 (= (tptp.h _let_47) (tptp.op2 _let_2 _let_2)))) (let ((_let_49 (tptp.op1 tptp.e13 tptp.e12))) (let ((_let_50 (tptp.op1 tptp.e13 tptp.e11))) (let ((_let_51 (tptp.op1 tptp.e13 tptp.e10))) (let ((_let_52 (tptp.op1 tptp.e12 tptp.e14))) (let ((_let_53 (tptp.op1 tptp.e12 tptp.e13))) (let ((_let_54 (tptp.op1 tptp.e12 tptp.e12))) (let ((_let_55 (= (tptp.h _let_54) (tptp.op2 _let_3 _let_3)))) (let ((_let_56 (tptp.op1 tptp.e12 tptp.e11))) (let ((_let_57 (tptp.op1 tptp.e12 tptp.e10))) (let ((_let_58 (tptp.op1 tptp.e11 tptp.e14))) (let ((_let_59 (tptp.op1 tptp.e11 tptp.e13))) (let ((_let_60 (tptp.op1 tptp.e11 tptp.e12))) (let ((_let_61 (tptp.op1 tptp.e11 tptp.e11))) (let ((_let_62 (= (tptp.h _let_61) (tptp.op2 _let_4 _let_4)))) (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_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_11 tptp.e10) (= _let_11 tptp.e11) (= _let_11 tptp.e12) (= _let_11 tptp.e13) (= _let_11 tptp.e14)) (or (= _let_9 tptp.e10) (= _let_9 tptp.e11) (= _let_9 tptp.e12) (= _let_9 tptp.e13) (= _let_9 tptp.e14)) (or (= _let_7 tptp.e10) (= _let_7 tptp.e11) (= _let_7 tptp.e12) (= _let_7 tptp.e13) (= _let_7 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)) _let_62 (= (tptp.h _let_60) (tptp.op2 _let_4 _let_3)) (= (tptp.h _let_59) (tptp.op2 _let_4 _let_2)) (= (tptp.h _let_58) (tptp.op2 _let_4 _let_1)) (= (tptp.h _let_57) (tptp.op2 _let_3 _let_5)) (= (tptp.h _let_56) (tptp.op2 _let_3 _let_4)) _let_55 (= (tptp.h _let_53) (tptp.op2 _let_3 _let_2)) (= (tptp.h _let_52) (tptp.op2 _let_3 _let_1)) (= (tptp.h _let_51) (tptp.op2 _let_2 _let_5)) (= (tptp.h _let_50) (tptp.op2 _let_2 _let_4)) (= (tptp.h _let_49) (tptp.op2 _let_2 _let_3)) _let_48 (= (tptp.h _let_46) (tptp.op2 _let_2 _let_1)) (= (tptp.h _let_45) (tptp.op2 _let_1 _let_5)) (= (tptp.h _let_44) (tptp.op2 _let_1 _let_4)) (= (tptp.h _let_43) (tptp.op2 _let_1 _let_3)) (= (tptp.h _let_42) (tptp.op2 _let_1 _let_2)) _let_41 (= (tptp.j _let_39) (tptp.op1 _let_13 _let_13)) (= (tptp.j _let_38) (tptp.op1 _let_13 _let_12)) (= (tptp.j _let_37) (tptp.op1 _let_13 _let_11)) (= (tptp.j _let_36) (tptp.op1 _let_13 _let_9)) (= (tptp.j _let_35) (tptp.op1 _let_13 _let_7)) (= (tptp.j _let_34) (tptp.op1 _let_12 _let_13)) (= (tptp.j _let_33) (tptp.op1 _let_12 _let_12)) (= (tptp.j _let_32) (tptp.op1 _let_12 _let_11)) (= (tptp.j _let_31) (tptp.op1 _let_12 _let_9)) (= (tptp.j _let_30) (tptp.op1 _let_12 _let_7)) (= (tptp.j _let_29) (tptp.op1 _let_11 _let_13)) (= (tptp.j _let_28) (tptp.op1 _let_11 _let_12)) (= (tptp.j _let_27) (tptp.op1 _let_11 _let_11)) (= (tptp.j _let_26) (tptp.op1 _let_11 _let_9)) (= (tptp.j _let_25) (tptp.op1 _let_11 _let_7)) (= (tptp.j _let_24) (tptp.op1 _let_9 _let_13)) (= (tptp.j _let_23) (tptp.op1 _let_9 _let_12)) (= (tptp.j _let_22) (tptp.op1 _let_9 _let_11)) (= (tptp.j _let_21) (tptp.op1 _let_9 _let_9)) (= (tptp.j _let_20) (tptp.op1 _let_9 _let_7)) (= (tptp.j _let_19) (tptp.op1 _let_7 _let_13)) (= (tptp.j _let_18) (tptp.op1 _let_7 _let_12)) (= (tptp.j _let_17) (tptp.op1 _let_7 _let_11)) (= (tptp.j _let_16) (tptp.op1 _let_7 _let_9)) (= (tptp.j _let_15) (tptp.op1 _let_7 _let_7)) (= _let_14 tptp.e20) (= (tptp.h _let_12) tptp.e21) (= (tptp.h _let_11) tptp.e22) (= _let_10 tptp.e23) (= _let_8 tptp.e24) (= _let_6 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_39 tptp.e20) (= _let_38 tptp.e21) (= _let_37 tptp.e22) (= _let_36 tptp.e23) (= _let_35 tptp.e24) (= _let_34 tptp.e21) (= _let_33 tptp.e22) (= _let_32 tptp.e24) (= _let_31 tptp.e20) (= _let_30 tptp.e23) (= _let_29 tptp.e22) (= _let_28 tptp.e20) (= _let_27 tptp.e23) (= _let_26 tptp.e24) (= _let_25 tptp.e21) (= _let_24 tptp.e23) (= _let_23 tptp.e24) (= _let_22 tptp.e20) (= _let_21 tptp.e21) (= _let_20 tptp.e22) (= _let_19 tptp.e24) (= _let_18 tptp.e23) (= _let_17 tptp.e21) (= _let_16 tptp.e22) (= _let_15 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_61 tptp.e10) (= _let_60 tptp.e13) (= _let_59 tptp.e14) (= _let_58 tptp.e12) (= _let_57 tptp.e12) (= _let_56 tptp.e14) (= _let_54 tptp.e10) (= _let_53 tptp.e11) (= _let_52 tptp.e13) (= _let_51 tptp.e13) (= _let_50 tptp.e12) (= _let_49 tptp.e14) (= _let_47 tptp.e10) (= _let_46 tptp.e11) (= _let_45 tptp.e14) (= _let_44 tptp.e13) (= _let_43 tptp.e11) (= _let_42 tptp.e12) (= _let_40 tptp.e10)))) (let ((_let_73 (= tptp.e20 tptp.e23))) (let ((_let_74 (not _let_73))) (let ((_let_75 (and (not (= tptp.e20 tptp.e21)) (not (= tptp.e20 tptp.e22)) _let_74 (not (= tptp.e20 tptp.e24)) (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)) (not (= tptp.e23 tptp.e24))))) (let ((_let_76 (= tptp.e10 _let_54))) (let ((_let_77 (= tptp.e21 _let_21))) (let ((_let_78 (= tptp.e23 _let_10))) (let ((_let_79 (= tptp.e21 _let_5))) (let ((_let_80 (= tptp.e12 _let_9))) (let ((_let_81 (12))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO :args (_let_72 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (AND_ELIM _let_82 :args _let_81))) (let ((_let_84 (18))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_71)) (MACRO_SR_EQ_INTRO :args (_let_71 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (AND_ELIM _let_85 :args _let_84))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_70)) (MACRO_SR_EQ_INTRO :args (_let_70 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_87)))) (let ((_let_89 (AND_ELIM _let_88 :args _let_81))) (let ((_let_90 (AND_ELIM _let_88 :args (53)))) (let ((_let_91 (= tptp.e20 _let_5))) (let ((_let_92 (= tptp.e21 tptp.e20))) (let ((_let_93 (not _let_79))) (let ((_let_94 (= tptp.e10 _let_68))) (let ((_let_95 (= tptp.e20 _let_15))) (let ((_let_96 (= tptp.e24 _let_8))) (let ((_let_97 (= tptp.e10 _let_7))) (let ((_let_98 (= tptp.e10 _let_61))) (let ((_let_99 (= tptp.e11 _let_7))) (let ((_let_100 (= tptp.e12 _let_7))) (let ((_let_101 (= tptp.e10 _let_47))) (let ((_let_102 (= tptp.e13 _let_7))) (let ((_let_103 (= tptp.e14 _let_7))) (let ((_let_104 (= tptp.e10 _let_40))) (let ((_let_105 (0))) (let ((_let_106 (24))) (let ((_let_107 (AND_ELIM _let_85 :args _let_106))) (let ((_let_108 (AND_ELIM _let_88 :args (54)))) (let ((_let_109 (not _let_96))) (let ((_let_110 (not _let_95))) (let ((_let_111 (and _let_69 _let_94 _let_95 _let_97 _let_96))) (let ((_let_112 (APPLY_UF tptp.h))) (let ((_let_113 (ASSUME :args (_let_94)))) (let ((_let_114 (ASSUME :args (_let_69)))) (let ((_let_115 (APPLY_UF tptp.op2))) (let ((_let_116 (ASSUME :args (_let_97)))) (let ((_let_117 (ASSUME :args (_let_96)))) (let ((_let_118 (SYMM (SYMM _let_117)))) (let ((_let_119 (TRANS _let_118 (CONG (SYMM _let_116) :args _let_112)))) (let ((_let_120 (ASSUME :args (_let_95)))) (let ((_let_121 (SYMM (SYMM _let_120)))) (let ((_let_122 (6))) (let ((_let_123 (AND_ELIM _let_82 :args _let_122))) (let ((_let_124 (AND_ELIM _let_88 :args _let_122))) (let ((_let_125 (not _let_62))) (let ((_let_126 (not _let_98))) (let ((_let_127 (and _let_62 _let_98 _let_95 _let_99 _let_96))) (let ((_let_128 (ASSUME :args (_let_98)))) (let ((_let_129 (CONG (SYMM _let_128) :args _let_112))) (let ((_let_130 (ASSUME :args (_let_62)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (ASSUME :args (_let_99)))) (let ((_let_133 (TRANS _let_118 (CONG (SYMM _let_132) :args _let_112)))) (let ((_let_134 (not _let_55))) (let ((_let_135 (not _let_76))) (let ((_let_136 (and _let_55 _let_76 _let_95 _let_100 _let_96))) (let ((_let_137 (ASSUME :args (_let_76)))) (let ((_let_138 (CONG (SYMM _let_137) :args _let_112))) (let ((_let_139 (ASSUME :args (_let_55)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_100)))) (let ((_let_142 (TRANS _let_118 (CONG (SYMM _let_141) :args _let_112)))) (let ((_let_143 (AND_ELIM _let_82 :args _let_84))) (let ((_let_144 (AND_ELIM _let_88 :args _let_84))) (let ((_let_145 (not _let_48))) (let ((_let_146 (not _let_101))) (let ((_let_147 (and _let_48 _let_101 _let_95 _let_102 _let_96))) (let ((_let_148 (ASSUME :args (_let_101)))) (let ((_let_149 (CONG (SYMM _let_148) :args _let_112))) (let ((_let_150 (ASSUME :args (_let_48)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (ASSUME :args (_let_102)))) (let ((_let_153 (TRANS _let_118 (CONG (SYMM _let_152) :args _let_112)))) (let ((_let_154 (NOT_IMPLIES_ELIM1 _let_87))) (let ((_let_155 (AND_ELIM _let_82 :args _let_106))) (let ((_let_156 (AND_ELIM _let_88 :args _let_106))) (let ((_let_157 (not _let_41))) (let ((_let_158 (not _let_104))) (let ((_let_159 (and _let_41 _let_104 _let_95 _let_103 _let_96))) (let ((_let_160 (ASSUME :args (_let_104)))) (let ((_let_161 (CONG (SYMM _let_160) :args _let_112))) (let ((_let_162 (ASSUME :args (_let_41)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (ASSUME :args (_let_103)))) (let ((_let_165 (TRANS _let_118 (CONG (SYMM _let_164) :args _let_112)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_159)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_162 _let_164 _let_117 _let_120) (SCOPE (TRANS _let_121 (CONG _let_165 _let_165 :args _let_115) _let_163 _let_161) :args (_let_104 _let_41 _let_103 _let_96 _let_95))) :args (_let_41 _let_104 _let_95 _let_103 _let_96))) :args (true _let_159)) :args ((or _let_91 _let_158 _let_110 (not _let_103) _let_157 _let_109))) _let_108 _let_156 _let_107 _let_155 (AND_ELIM _let_154 :args (9)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_150 _let_152 _let_117 _let_120) (SCOPE (TRANS _let_121 (CONG _let_153 _let_153 :args _let_115) _let_151 _let_149) :args (_let_101 _let_48 _let_102 _let_96 _let_95))) :args (_let_48 _let_101 _let_95 _let_102 _let_96))) :args (true _let_147)) :args ((or _let_91 _let_146 _let_110 (not _let_102) _let_145 _let_109))) _let_108 _let_144 _let_107 _let_143 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_136)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_139 _let_141 _let_117 _let_120) (SCOPE (TRANS _let_121 (CONG _let_142 _let_142 :args _let_115) _let_140 _let_138) :args (_let_76 _let_55 _let_100 _let_96 _let_95))) :args (_let_55 _let_76 _let_95 _let_100 _let_96))) :args (true _let_136)) :args ((or _let_91 _let_135 _let_110 (not _let_100) _let_134 _let_109))) _let_108 _let_89 _let_107 _let_83 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130 _let_132 _let_117 _let_120) (SCOPE (TRANS _let_121 (CONG _let_133 _let_133 :args _let_115) _let_131 _let_129) :args (_let_98 _let_62 _let_99 _let_96 _let_95))) :args (_let_62 _let_98 _let_95 _let_99 _let_96))) :args (true _let_127)) :args ((or _let_91 _let_126 _let_110 (not _let_99) _let_125 _let_109))) _let_108 _let_124 _let_107 _let_123 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_114 _let_116 _let_117 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_119 :args _let_115) (SYMM _let_114) (CONG (SYMM _let_113) :args _let_112)) :args (_let_94 _let_69 _let_97 _let_96 _let_95))) :args (_let_69 _let_94 _let_95 _let_97 _let_96))) :args (true _let_111)) :args ((or _let_91 (not _let_94) _let_110 (not _let_97) (not _let_69) _let_109))) _let_108 (AND_ELIM _let_88 :args _let_105) _let_107 (AND_ELIM _let_82 :args _let_105) :args (_let_91 false _let_96 false _let_41 false _let_95 false _let_104 false _let_103 true _let_102 false _let_96 false _let_48 false _let_95 false _let_101 true _let_100 false _let_96 false _let_55 false _let_95 false _let_76 true _let_99 false _let_96 false _let_62 false _let_95 false _let_98 true _let_97 false _let_96 false _let_69 false _let_95 false _let_94)))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_75)) (MACRO_SR_EQ_INTRO :args (_let_75 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (or))) (let ((_let_169 (REFL :args ((not _let_91))))) (let ((_let_170 (not _let_92))) (let ((_let_171 (and _let_170 _let_91))) (let ((_let_172 (_let_170 _let_91))) (let ((_let_173 (ASSUME :args (_let_170)))) (let ((_let_174 (ASSUME :args (_let_91)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_171)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_174) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.e21)) _let_175 :args (=)) (FALSE_INTRO _let_173))) :args _let_172)) :args _let_172)) :args (true _let_171)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_92))) _let_169 (REFL :args (_let_93)) :args _let_168)) (AND_ELIM _let_167 :args _let_105) _let_166 :args (_let_93 true _let_92 false _let_91)))) (let ((_let_177 (= tptp.e14 _let_9))) (let ((_let_178 (= tptp.e13 _let_9))) (let ((_let_179 (= tptp.e11 _let_9))) (let ((_let_180 (= tptp.e10 _let_9))) (let ((_let_181 (not _let_177))) (let ((_let_182 (not _let_78))) (let ((_let_183 (not _let_77))) (let ((_let_184 (and _let_41 _let_104 _let_77 _let_177 _let_78))) (let ((_let_185 (ASSUME :args (_let_177)))) (let ((_let_186 (ASSUME :args (_let_78)))) (let ((_let_187 (SYMM (SYMM _let_186)))) (let ((_let_188 (TRANS _let_187 (CONG (SYMM _let_185) :args _let_112)))) (let ((_let_189 (ASSUME :args (_let_77)))) (let ((_let_190 (SYMM (SYMM _let_189)))) (let ((_let_191 (not _let_178))) (let ((_let_192 (and _let_48 _let_101 _let_77 _let_178 _let_78))) (let ((_let_193 (ASSUME :args (_let_178)))) (let ((_let_194 (TRANS _let_187 (CONG (SYMM _let_193) :args _let_112)))) (let ((_let_195 (not _let_179))) (let ((_let_196 (and _let_62 _let_98 _let_77 _let_179 _let_78))) (let ((_let_197 (ASSUME :args (_let_179)))) (let ((_let_198 (TRANS _let_187 (CONG (SYMM _let_197) :args _let_112)))) (let ((_let_199 (= tptp.e20 _let_39))) (let ((_let_200 (= tptp.e20 _let_14))) (let ((_let_201 (= tptp.e10 _let_6))) (let ((_let_202 (not _let_180))) (let ((_let_203 (= tptp.e23 _let_5))) (let ((_let_204 (ASSUME :args (_let_199)))) (let ((_let_205 (SYMM (SYMM _let_204)))) (let ((_let_206 (ASSUME :args (_let_74)))) (let ((_let_207 (ASSUME :args (_let_200)))) (let ((_let_208 (ASSUME :args (_let_201)))) (let ((_let_209 (ASSUME :args (_let_180)))) (let ((_let_210 (and _let_55 _let_76 _let_77 _let_80 _let_78))) (let ((_let_211 (ASSUME :args (_let_80)))) (let ((_let_212 (TRANS _let_187 (CONG (SYMM _let_211) :args _let_112)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_210)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_139 _let_211 _let_186 _let_189) (SCOPE (TRANS _let_190 (CONG _let_212 _let_212 :args _let_115) _let_140 _let_138) :args (_let_76 _let_55 _let_80 _let_78 _let_77))) :args (_let_55 _let_76 _let_77 _let_80 _let_78))) :args (true _let_210)) :args ((or _let_79 _let_135 _let_183 (not _let_80) _let_134 _let_182))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_154 :args (8)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_204 _let_174 (MODUS_PONENS (AND_INTRO _let_174 _let_207 _let_208 _let_209 _let_186) (SCOPE (TRANS _let_187 (CONG (TRANS (SYMM _let_209) (SYMM (SYMM _let_208)) (CONG _let_175 :args (APPLY_UF tptp.j))) :args _let_112) (SYMM _let_207) (SYMM _let_175)) :args (_let_91 _let_200 _let_201 _let_180 _let_78))) _let_206) :args (_let_74 _let_199 _let_91 _let_180 _let_200 _let_78 _let_201)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_206)) (TRUE_INTRO (TRANS _let_205 (SYMM (TRANS (SYMM (SYMM (ASSUME :args (_let_203)))) _let_175 _let_205)))))) :args (_let_199 _let_91 _let_203 _let_74)) :args ((not (and _let_74 _let_199 _let_91 _let_180 _let_200 _let_78 _let_201)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) (REFL :args ((not _let_199))) _let_169 (REFL :args (_let_202)) (REFL :args ((not _let_200))) (REFL :args (_let_182)) (REFL :args ((not _let_201))) :args _let_168)) _let_166 (AND_ELIM _let_88 :args (55)) _let_90 (AND_ELIM _let_88 :args (50)) (AND_ELIM _let_85 :args _let_105) (AND_ELIM _let_167 :args (2)) :args (_let_202 false _let_91 false _let_201 false _let_78 false _let_200 false _let_199 true _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_196)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130 _let_197 _let_186 _let_189) (SCOPE (TRANS _let_190 (CONG _let_198 _let_198 :args _let_115) _let_131 _let_129) :args (_let_98 _let_62 _let_179 _let_78 _let_77))) :args (_let_62 _let_98 _let_77 _let_179 _let_78))) :args (true _let_196)) :args ((or _let_79 _let_126 _let_183 _let_195 _let_125 _let_182))) _let_176 _let_123 _let_86 _let_124 _let_90 :args (_let_195 true _let_79 false _let_98 false _let_77 false _let_62 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_192)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_150 _let_193 _let_186 _let_189) (SCOPE (TRANS _let_190 (CONG _let_194 _let_194 :args _let_115) _let_151 _let_149) :args (_let_101 _let_48 _let_178 _let_78 _let_77))) :args (_let_48 _let_101 _let_77 _let_178 _let_78))) :args (true _let_192)) :args ((or _let_79 _let_146 _let_183 _let_191 _let_145 _let_182))) _let_176 _let_143 _let_86 _let_144 _let_90 :args (_let_191 true _let_79 false _let_101 false _let_77 false _let_48 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_162 _let_185 _let_186 _let_189) (SCOPE (TRANS _let_190 (CONG _let_188 _let_188 :args _let_115) _let_163 _let_161) :args (_let_104 _let_41 _let_177 _let_78 _let_77))) :args (_let_41 _let_104 _let_77 _let_177 _let_78))) :args (true _let_184)) :args ((or _let_79 _let_158 _let_183 _let_181 _let_157 _let_182))) _let_176 _let_155 _let_86 _let_156 _let_90 :args (_let_181 true _let_79 false _let_104 false _let_77 false _let_41 false _let_78)) :args (_let_80 true _let_180 true _let_179 true _let_178 true _let_177)) _let_176 _let_90 _let_89 _let_86 _let_83 :args (false false _let_80 true _let_79 false _let_78 false _let_55 false _let_77 false _let_76)) :args ((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)) (not (= tptp.e13 tptp.e14))) _let_75 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for ALG089+1
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------