TSTP Solution File: LCL894+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 07:04:09 EDT 2023
% Result : Theorem 32.28s 32.53s
% Output : Proof 32.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 05:11:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 32.28/32.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TMnA9ao6Aq/cvc5---1.0.5_15033.p...
% 32.28/32.53 ------- get file name : TPTP file name is LCL894+1
% 32.28/32.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15033.smt2...
% 32.28/32.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.28/32.53 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.28/32.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.28/32.53 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.28/32.53 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.28/32.53 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.28/32.53 % SZS status Theorem for LCL894+1
% 32.28/32.53 % SZS output start Proof for LCL894+1
% 32.28/32.53 (
% 32.28/32.53 (let ((_let_1 (|tptp.'==>'| tptp.a tptp.b))) (let ((_let_2 (|tptp.'+'| tptp.a _let_1))) (let ((_let_3 (|tptp.'>='| tptp.c _let_2))) (let ((_let_4 (|tptp.'>='| tptp.c tptp.b))) (let ((_let_5 (|tptp.'>='| tptp.c tptp.a))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (not (= _let_6 _let_3)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A (|tptp.'==>'| A B)) (|tptp.'+'| B (|tptp.'==>'| B A)))))) (let ((_let_9 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (=> (|tptp.'>='| X14 X15) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_10 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (|tptp.'>='| X8 X9) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_11 (forall ((A $$unsorted)) (|tptp.'>='| A |tptp.'0'|)))) (let ((_let_12 (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (= (|tptp.'>='| (|tptp.'+'| X5 X6) X7) (|tptp.'>='| X6 (|tptp.'==>'| X5 X7)))))) (let ((_let_13 (forall ((X3 $$unsorted) (X4 $$unsorted)) (=> (and (|tptp.'>='| X3 X4) (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_14 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'0'|) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A B) (|tptp.'+'| B A))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|tptp.'+'| (|tptp.'+'| A B) C) (|tptp.'+'| A (|tptp.'+'| B C)))))) (let ((_let_17 (|tptp.'==>'| tptp.c tptp.b))) (let ((_let_18 (= |tptp.'0'| _let_17))) (let ((_let_19 (|tptp.'==>'| tptp.a |tptp.'0'|))) (let ((_let_20 (|tptp.'>='| _let_1 _let_19))) (let ((_let_21 (|tptp.'>='| _let_1 (|tptp.'==>'| tptp.a _let_17)))) (let ((_let_22 (|tptp.'>='| _let_17 |tptp.'0'|))) (let ((_let_23 (not _let_22))) (let ((_let_24 (|tptp.'>='| |tptp.'0'| _let_17))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_18))) (let ((_let_27 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|tptp.'>='| X3 X4)) (not (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((not (= (|tptp.'>='| X3 X4) false))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (|tptp.'0'| _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_26 false _let_27)))) (let ((_let_32 (_let_11))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_33 :args (_let_22 false _let_11)))) (let ((_let_35 (|tptp.'+'| tptp.c |tptp.'0'|))) (let ((_let_36 (|tptp.'>='| _let_35 tptp.b))) (let ((_let_37 (= _let_36 _let_24))) (let ((_let_38 (_let_12))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((|tptp.'>='| (|tptp.'+'| X5 X6) X7)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.c |tptp.'0'| tptp.b QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_12)))) (let ((_let_42 (= tptp.c _let_35))) (let ((_let_43 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_44 :args (_let_42 false _let_43)))) (let ((_let_47 (|tptp.'+'| |tptp.'0'| tptp.c))) (let ((_let_48 (= _let_47 _let_35))) (let ((_let_49 (|tptp.'>='| _let_47 tptp.b))) (let ((_let_50 (|tptp.'==>'| |tptp.'0'| tptp.b))) (let ((_let_51 (|tptp.'>='| tptp.c _let_50))) (let ((_let_52 (= _let_49 _let_51))) (let ((_let_53 (|tptp.'>='| _let_35 _let_2))) (let ((_let_54 (|tptp.'>='| _let_35 _let_50))) (let ((_let_55 (|tptp.'==>'| tptp.c _let_2))) (let ((_let_56 (|tptp.'>='| |tptp.'0'| _let_55))) (let ((_let_57 (= _let_53 _let_56))) (let ((_let_58 (|tptp.'==>'| tptp.c _let_50))) (let ((_let_59 (|tptp.'>='| |tptp.'0'| _let_58))) (let ((_let_60 (= _let_54 _let_59))) (let ((_let_61 (|tptp.'>='| _let_55 |tptp.'0'|))) (let ((_let_62 (= |tptp.'0'| _let_55))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_56))) (let ((_let_65 (or _let_64 _let_63 _let_62))) (let ((_let_66 (|tptp.'>='| _let_55 _let_58))) (let ((_let_67 (not _let_6))) (let ((_let_68 (_let_15))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (|tptp.'0'| tptp.c QUANTIFIERS_INST_ENUM)) :args _let_68)) _let_69 :args (_let_48 false _let_15)))) (let ((_let_71 (or))) (let ((_let_72 (not _let_42))) (let ((_let_73 (REFL :args (_let_72)))) (let ((_let_74 (not _let_48))) (let ((_let_75 (REFL :args (_let_74)))) (let ((_let_76 (not _let_4))) (let ((_let_77 (and _let_76 _let_48 _let_42))) (let ((_let_78 (ASSUME :args (_let_76)))) (let ((_let_79 (APPLY_UF |tptp.'>='|))) (let ((_let_80 (REFL :args (tptp.b)))) (let ((_let_81 (ASSUME :args (_let_42)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (ASSUME :args (_let_48)))) (let ((_let_84 (SYMM _let_83))) (let ((_let_85 (TRANS (SYMM _let_84) _let_82))) (let ((_let_86 (ASSUME :args (_let_7)))) (let ((_let_87 (NOT_EQUIV_ELIM1 _let_86))) (let ((_let_88 (not _let_51))) (let ((_let_89 (and _let_3 _let_42))) (let ((_let_90 (_let_3 _let_42))) (let ((_let_91 (ASSUME :args (_let_3)))) (let ((_let_92 (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG _let_82 (REFL :args (_let_2)) :args _let_79) (TRUE_INTRO _let_91))) :args _let_90)) :args _let_90)) :args (true _let_89)))) (let ((_let_93 (and _let_42 _let_88))) (let ((_let_94 (ASSUME :args (_let_88)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.c |tptp.'0'| _let_2 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_57 false _let_12)))) (let ((_let_96 (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_56 (not _let_53) (not _let_57)))))) (let ((_let_97 (not _let_59))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_55 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_33 :args (_let_61 false _let_11)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (|tptp.'0'| _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_65 false _let_27)))) (let ((_let_100 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 _let_62 (not _let_65)))))) (let ((_let_101 (|tptp.'>='| _let_2 _let_50))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_66))) (let ((_let_104 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (|tptp.'>='| (|tptp.'+'| |tptp.'0'| _let_2) tptp.b))) (let ((_let_108 (= _let_101 _let_107))) (let ((_let_109 (|tptp.'+'| |tptp.'0'| tptp.b))) (let ((_let_110 (|tptp.'==>'| tptp.b tptp.a))) (let ((_let_111 (|tptp.'+'| _let_110 tptp.b))) (let ((_let_112 (|tptp.'>='| _let_111 _let_109))) (let ((_let_113 (= (|tptp.'+'| _let_111 |tptp.'0'|) (|tptp.'+'| |tptp.'0'| _let_111)))) (let ((_let_114 (|tptp.'+'| tptp.a |tptp.'0'|))) (let ((_let_115 (|tptp.'+'| _let_1 tptp.a))) (let ((_let_116 (= (|tptp.'+'| _let_115 |tptp.'0'|) (|tptp.'+'| _let_1 _let_114)))) (let ((_let_117 (|tptp.'+'| tptp.b |tptp.'0'|))) (let ((_let_118 (= tptp.b _let_117))) (let ((_let_119 (= tptp.a _let_114))) (let ((_let_120 (= _let_109 _let_117))) (let ((_let_121 (|tptp.'+'| tptp.b _let_110))) (let ((_let_122 (= _let_121 _let_111))) (let ((_let_123 (= _let_2 _let_121))) (let ((_let_124 (= _let_2 _let_115))) (let ((_let_125 (|tptp.'>='| _let_110 |tptp.'0'|))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_112))) (let ((_let_128 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|tptp.'>='| X8 X9)) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (_let_128))) (let ((_let_131 ((not (= (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)) true))))) (let ((_let_132 ((|tptp.'+'| A B)))) (let ((_let_133 (_let_16))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b _let_110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_122 false _let_15)))) (let ((_let_136 (_let_8))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 ((|tptp.'+'| A (|tptp.'==>'| A B))))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_136)) _let_137 :args (_let_123 false _let_8)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_124 false _let_15)))) (let ((_let_141 (not _let_122))) (let ((_let_142 (not _let_123))) (let ((_let_143 (not _let_124))) (let ((_let_144 (and _let_124 _let_123 _let_122 _let_120 _let_119 _let_118 _let_116 _let_113 _let_112))) (let ((_let_145 (ASSUME :args (_let_112)))) (let ((_let_146 (ASSUME :args (_let_120)))) (let ((_let_147 (ASSUME :args (_let_118)))) (let ((_let_148 (ASSUME :args (_let_122)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (ASSUME :args (_let_123)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (TRANS _let_153 _let_150))) (let ((_let_155 (ASSUME :args (_let_124)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (APPLY_UF |tptp.'+'|))) (let ((_let_158 (ASSUME :args (_let_119)))) (let ((_let_159 (REFL :args (_let_1)))) (let ((_let_160 (ASSUME :args (_let_116)))) (let ((_let_161 (REFL :args (|tptp.'0'|)))) (let ((_let_162 (ASSUME :args (_let_113)))) (let ((_let_163 (not _let_62))) (let ((_let_164 (not _let_66))) (let ((_let_165 (REFL :args (_let_163)))) (let ((_let_166 (ASSUME :args (_let_62)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_66)))) (CONG _let_167 (REFL :args (_let_58)) :args _let_79) (FALSE_INTRO (ASSUME :args (_let_97))))) :args (_let_97 _let_62 _let_66))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_59))) _let_165 (REFL :args (_let_164)) :args _let_71)) :args ((or _let_59 _let_164 _let_163))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_66 _let_102 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_108)) :args ((or _let_101 (not _let_107) (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_144)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_148 _let_151 _let_146 _let_147 _let_155 _let_158 _let_160 _let_162) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_161 _let_154 :args _let_157) (SYMM _let_162) (CONG (TRANS _let_149 _let_152 _let_155) _let_161 :args _let_157) (SYMM (SYMM _let_160)) (CONG _let_159 (SYMM _let_158) :args _let_157) _let_156) _let_80 :args _let_79) (CONG _let_154 (TRANS (SYMM (SYMM _let_147)) (SYMM _let_146)) :args _let_79) (TRUE_INTRO _let_145))) :args (_let_112 _let_122 _let_123 _let_120 _let_118 _let_124 _let_119 _let_116 _let_113))) :args (_let_124 _let_123 _let_122 _let_120 _let_119 _let_118 _let_116 _let_113 _let_112))) :args (true _let_144)) :args ((or _let_143 _let_142 _let_141 (not _let_120) (not _let_119) (not _let_118) (not _let_116) _let_107 (not _let_113) (not _let_112)))) _let_140 _let_139 _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (|tptp.'0'| tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_120 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_44 :args (_let_119 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_44 :args (_let_118 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_1 tptp.a |tptp.'0'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| A (|tptp.'+'| B C))))) :args _let_133)) _let_134 :args (_let_116 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_111 |tptp.'0'| QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_113 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_112 (not _let_127)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_110 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_33 :args (_let_125 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_110 |tptp.'0'| tptp.b QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_130)) _let_129 :args (_let_127 false _let_128)) :args (_let_112 false _let_125 false _let_127)) :args (_let_107 false _let_124 false _let_123 false _let_122 false _let_120 false _let_119 false _let_118 false _let_116 false _let_113 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (|tptp.'0'| _let_2 tptp.b QUANTIFIERS_INST_E_MATCHING ((|tptp.'>='| X6 (|tptp.'==>'| X5 X7))))) :args _let_38))) _let_39 :args (_let_108 false _let_12)) :args (_let_101 false _let_107 false _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_2 _let_50 tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) _let_105 :args (_let_103 false _let_104)) :args (_let_66 false _let_101 false _let_103)) _let_100 _let_99 _let_98 (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_54 _let_97 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.c |tptp.'0'| _let_50 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_60 false _let_12)) _let_96 _let_95 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_94 _let_81) (SCOPE (FALSE_ELIM (TRANS (CONG _let_82 (REFL :args (_let_50)) :args _let_79) (FALSE_INTRO _let_94))) :args (_let_88 _let_42))) :args (_let_42 _let_88))) :args (true _let_93)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= 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_let_37)) _let_34 _let_31 :args (_let_18 false _let_24 false _let_22 false _let_26)))) (let ((_let_176 (|tptp.'+'| _let_19 tptp.a))) (let ((_let_177 (|tptp.'>='| _let_115 _let_176))) (let ((_let_178 (not _let_20))) (let ((_let_179 (or _let_178 _let_177))) (let ((_let_180 (|tptp.'==>'| |tptp.'0'| tptp.a))) (let ((_let_181 (|tptp.'>='| _let_111 _let_180))) (let ((_let_182 (|tptp.'+'| tptp.a _let_19))) (let ((_let_183 (= _let_182 _let_176))) (let ((_let_184 (|tptp.'+'| _let_180 |tptp.'0'|))) (let ((_let_185 (= _let_180 _let_184))) (let ((_let_186 (|tptp.'+'| |tptp.'0'| _let_180))) (let ((_let_187 (= _let_186 _let_182))) (let ((_let_188 (= _let_186 _let_184))) (let ((_let_189 (not _let_177))) (let ((_let_190 (|tptp.'==>'| tptp.c _let_180))) (let ((_let_191 (|tptp.'>='| (|tptp.'==>'| tptp.c _let_111) _let_190))) (let ((_let_192 (not _let_181))) (let ((_let_193 (or _let_192 _let_191))) (let ((_let_194 (|tptp.'>='| |tptp.'0'| _let_190))) (let ((_let_195 (not _let_191))) (let ((_let_196 (not _let_5))) (let ((_let_197 (|tptp.'==>'| tptp.b tptp.c))) (let ((_let_198 (|tptp.'+'| tptp.b _let_197))) (let ((_let_199 (= (|tptp.'+'| tptp.c _let_17) _let_198))) (let ((_let_200 (|tptp.'+'| _let_197 tptp.b))) (let ((_let_201 (= _let_198 _let_200))) (let ((_let_202 (|tptp.'>='| _let_200 _let_111))) (let ((_let_203 (|tptp.'>='| _let_198 tptp.a))) (let ((_let_204 (|tptp.'>='| _let_197 _let_110))) (let ((_let_205 (not _let_204))) (let ((_let_206 (or _let_205 _let_202))) (let ((_let_207 (= _let_203 _let_204))) (let ((_let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_136)) _let_137 :args (_let_199 false _let_8)))) (let ((_let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b _let_197 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_201 false _let_15)))) (let ((_let_210 (not _let_201))) (let ((_let_211 (not _let_199))) (let ((_let_212 (not _let_18))) (let ((_let_213 (REFL :args (_let_212)))) (let ((_let_214 (REFL :args (_let_141)))) (let ((_let_215 (REFL :args (_let_142)))) (let ((_let_216 (not _let_3))) (let ((_let_217 (and _let_216 _let_123 _let_122 _let_48 _let_42 _let_18 _let_199 _let_201))) (let ((_let_218 (ASSUME :args (_let_216)))) (let ((_let_219 (ASSUME :args (_let_18)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (REFL :args (tptp.c)))) (let ((_let_222 (ASSUME :args (_let_199)))) (let ((_let_223 (ASSUME :args (_let_201)))) (let ((_let_224 (TRANS (SYMM _let_223) (SYMM _let_222) (CONG _let_221 _let_220 :args _let_157) _let_84))) (let ((_let_225 (and _let_5 _let_48 _let_42 _let_18 _let_199 _let_201))) (let ((_let_226 (ASSUME :args (_let_5)))) (let ((_let_227 (REFL :args (tptp.a)))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_207)) :args ((or _let_204 (not _let_203) (not _let_207)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.b _let_197 tptp.a QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_207 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_205 _let_202 (not _let_206)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_197 _let_110 tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_130)) _let_129 :args (_let_206 false _let_128)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_225)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_223 _let_222 _let_219 _let_81 _let_83 _let_226) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_223 _let_224 _let_85) _let_227 :args _let_79) (TRUE_INTRO _let_226))) :args (_let_201 _let_199 _let_18 _let_42 _let_48 _let_5))) :args (_let_5 _let_48 _let_42 _let_18 _let_199 _let_201))) :args (true _let_225)) :args ((or _let_196 _let_74 _let_72 _let_212 _let_211 _let_203 _let_210))) _let_209 _let_208 _let_46 _let_70 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_217)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_223 _let_219 _let_81 _let_83 _let_148 _let_222 _let_151 _let_218) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_224 _let_85) (TRANS _let_149 _let_152) :args _let_79) (FALSE_INTRO _let_218))) :args (_let_201 _let_18 _let_42 _let_48 _let_122 _let_199 _let_123 _let_216))) :args (_let_216 _let_123 _let_122 _let_48 _let_42 _let_18 _let_199 _let_201))) :args (true _let_217)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_216) _let_3))) _let_215 _let_214 _let_75 _let_73 _let_213 (REFL :args (_let_211)) (REFL :args (_let_210)) (REFL :args ((not _let_202))) :args _let_71)) _let_209 _let_208 _let_46 _let_70 _let_135 _let_139 _let_174 _let_31 _let_34 _let_173 _let_41 _let_172 _let_46 (NOT_EQUIV_ELIM2 _let_86) (CNF_AND_NEG :args (_let_6)) :args ((or _let_196 _let_76) false _let_207 true _let_204 false _let_206 false _let_203 false _let_201 false _let_199 false _let_42 false _let_48 true _let_202 false _let_201 false _let_199 false _let_42 false _let_48 false _let_122 false _let_123 false _let_18 false _let_26 false _let_22 false _let_24 false _let_37 false _let_36 false _let_42 true _let_3 false _let_6)) _let_168 :args (_let_196 false _let_4)))) (let ((_let_229 (|tptp.'>='| _let_35 _let_180))) (let ((_let_230 (= _let_229 _let_194))) (let ((_let_231 (not _let_194))) (let ((_let_232 (|tptp.'>='| tptp.c _let_180))) (let ((_let_233 (not _let_229))) (let ((_let_234 (|tptp.'>='| _let_47 tptp.a))) (let ((_let_235 (= _let_234 _let_232))) (let ((_let_236 (not _let_232))) (let ((_let_237 (not _let_234))) (let ((_let_238 (and _let_196 _let_48 _let_42))) (let ((_let_239 (ASSUME :args (_let_196)))) (let ((_let_240 (and _let_42 _let_236))) (let ((_let_241 (ASSUME :args (_let_236)))) (let ((_let_242 (and _let_123 _let_122 _let_231 _let_62))) (let ((_let_243 (ASSUME :args (_let_231)))) (let ((_let_244 (APPLY_UF |tptp.'==>'|))) (let ((_let_245 (and _let_124 _let_123 _let_122 _let_188 _let_187 _let_185 _let_183 _let_192))) (let ((_let_246 (ASSUME :args (_let_192)))) (let ((_let_247 (ASSUME :args (_let_185)))) (let ((_let_248 (ASSUME :args (_let_188)))) (let ((_let_249 (ASSUME :args (_let_187)))) (let ((_let_250 (ASSUME :args (_let_183)))) (let ((_let_251 (|tptp.'>='| tptp.b _let_17))) (let ((_let_252 (not _let_251))) (let ((_let_253 (or _let_252 _let_21))) (let ((_let_254 (|tptp.'>='| tptp.b |tptp.'0'|))) (let ((_let_255 (and _let_18 _let_254))) (let ((_let_256 (ASSUME :args (_let_254)))) (let ((_let_257 (SYMM _let_220))) (let ((_let_258 (ASSUME :args (_let_21)))) (let ((_let_259 (ASSUME :args (_let_178)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_258 _let_219 _let_259) :args (_let_18 _let_178 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_259)) (CONG _let_159 (CONG _let_227 _let_257 :args _let_244) :args _let_79) (TRUE_INTRO _let_258))) :args (_let_21 _let_18 _let_178)) :args ((not (and _let_18 _let_178 _let_21)) SB_LITERAL))) (CONG _let_213 (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_20))) (REFL :args ((not _let_21))) :args _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_252 _let_21 (not _let_253)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_255)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_256 _let_219) (SCOPE (TRUE_ELIM (TRANS (CONG _let_80 (SYMM _let_257) :args _let_79) (TRUE_INTRO _let_256))) :args (_let_254 _let_18))) :args (_let_18 _let_254))) :args (true _let_255)) :args ((or _let_212 _let_251 (not _let_254)))) _let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'>='| A |tptp.'0'|) true))))) :args _let_32)) _let_33 :args (_let_254 false _let_11)) :args (_let_251 false _let_18 false _let_254)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.b _let_17 tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) _let_105 :args (_let_253 false _let_104)) :args (_let_21 false _let_251 false _let_253)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_177 (not _let_179)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_245)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_246 _let_148 _let_151 _let_155 _let_247 _let_248 _let_249 _let_250) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_156 _let_154) (TRANS (SYMM _let_250) (SYMM _let_249) (SYMM (SYMM _let_248)) (SYMM _let_247)) :args _let_79) (FALSE_INTRO _let_246))) :args (_let_192 _let_122 _let_123 _let_124 _let_185 _let_188 _let_187 _let_183))) :args (_let_124 _let_123 _let_122 _let_188 _let_187 _let_185 _let_183 _let_192))) :args (true _let_245)) (CONG (REFL :args (_let_143)) _let_215 _let_214 (REFL :args ((not _let_188))) (REFL :args ((not _let_187))) (REFL :args ((not _let_185))) (REFL :args ((not _let_183))) (MACRO_SR_PRED_INTRO :args ((= (not _let_192) _let_181))) (REFL :args (_let_189)) :args _let_71)) _let_140 _let_139 _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (|tptp.'0'| _let_180 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_188 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (|tptp.'0'| tptp.a QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_136)) _let_137 :args (_let_187 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_180 QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_44 :args (_let_185 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.a _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_68)) _let_69 :args (_let_183 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_192 _let_191 (not _let_193)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_242)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_243 _let_166 _let_151 _let_148) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_221 (TRANS (SYMM _let_150) (SYMM _let_153)) :args _let_244) _let_167) (REFL :args (_let_190)) :args _let_79) (FALSE_INTRO _let_243))) :args (_let_231 _let_62 _let_123 _let_122))) :args (_let_123 _let_122 _let_231 _let_62))) :args (true _let_242)) (CONG _let_215 _let_214 (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_194))) _let_165 (REFL :args (_let_195)) :args _let_71)) _let_139 _let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_230)) :args ((or _let_229 _let_231 (not _let_230)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_240)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_241 _let_81) (SCOPE (FALSE_ELIM (TRANS (CONG _let_82 (REFL :args (_let_180)) :args _let_79) (FALSE_INTRO _let_241))) :args (_let_236 _let_42))) :args (_let_42 _let_236))) :args (true _let_240)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_236) _let_232))) (REFL :args (_let_233)) :args _let_71)) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_235)) :args ((or _let_234 _let_236 (not _let_235)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_238)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_239 _let_81 _let_83) (SCOPE (FALSE_ELIM (TRANS (CONG _let_85 _let_227 :args _let_79) (FALSE_INTRO _let_239))) :args (_let_196 _let_42 _let_48))) :args (_let_196 _let_48 _let_42))) :args (true _let_238)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_196) _let_5))) _let_75 _let_73 (REFL :args (_let_237)) :args _let_71)) _let_228 _let_70 _let_46 :args (_let_237 true _let_5 false _let_48 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (|tptp.'0'| tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_235 false _let_12)) :args (_let_236 true _let_234 false _let_235)) :args (_let_233 false _let_42 true _let_232)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.c |tptp.'0'| _let_180 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_230 false _let_12)) :args (_let_231 true _let_229 false _let_230)) (MACRO_RESOLUTION_TRUST _let_100 (MACRO_RESOLUTION_TRUST _let_96 (MACRO_RESOLUTION_TRUST _let_92 (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 0)) :args ((or _let_5 _let_67))) _let_228 :args (_let_67 true _let_5)) :args (_let_3 true _let_6)) _let_46 :args (_let_53 false _let_3 false _let_42)) _let_95 :args (_let_56 false _let_53 false _let_57)) _let_98 _let_99 :args (_let_62 false _let_56 false _let_61 false _let_65)) :args (_let_195 false _let_123 false _let_122 true _let_194 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_111 _let_180 tptp.c QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_106)) _let_105 :args (_let_193 false _let_104)) :args (_let_192 true _let_191 false _let_193)) :args (_let_189 false _let_124 false _let_123 false _let_122 false _let_188 false _let_187 false _let_185 false _let_183 true _let_181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_1 _let_19 tptp.a QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_130)) _let_129 :args (_let_179 false _let_128)) :args (_let_178 true _let_177 false _let_179)) _let_175 :args (false false _let_21 true _let_20 false _let_18)) :args (_let_16 _let_15 _let_14 (forall ((A $$unsorted)) (|tptp.'>='| A A)) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (|tptp.'>='| X0 X1) (|tptp.'>='| X1 X2)) (|tptp.'>='| X0 X2))) _let_13 _let_12 _let_11 _let_10 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (=> (|tptp.'>='| X11 X12) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))) _let_9 _let_8 _let_7 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.28/32.54 )
% 32.28/32.54 % SZS output end Proof for LCL894+1
% 32.37/32.54 % cvc5---1.0.5 exiting
% 32.37/32.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------