TSTP Solution File: NUM426+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM426+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 10:43:48 EDT 2023
% Result : Theorem 21.60s 21.82s
% Output : Proof 21.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM426+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 16:59:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 21.60/21.82 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Av7lZxRIlC/cvc5---1.0.5_13004.p...
% 21.60/21.82 ------- get file name : TPTP file name is NUM426+3
% 21.60/21.82 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13004.smt2...
% 21.60/21.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.60/21.82 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.60/21.82 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.60/21.82 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.60/21.82 % SZS status Theorem for NUM426+3
% 21.60/21.82 % SZS output start Proof for NUM426+3
% 21.60/21.82 (
% 21.60/21.82 (let ((_let_1 (tptp.smndt0 tptp.xa))) (let ((_let_2 (tptp.smndt0 tptp.xn))) (let ((_let_3 (= (tptp.sdtasdt0 tptp.xq _let_2) (tptp.sdtpldt0 tptp.xb _let_1)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.smndt0 tptp.xb))) (let ((_let_6 (tptp.sdtpldt0 tptp.xa _let_5))) (let ((_let_7 (tptp.sdtasdt0 tptp.xq tptp.xn))) (let ((_let_8 (tptp.aInteger0 tptp.xn))) (let ((_let_9 (and _let_8 (= _let_7 _let_6)))) (let ((_let_10 (tptp.aInteger0 tptp.xq))) (let ((_let_11 (tptp.aInteger0 tptp.xb))) (let ((_let_12 (tptp.aInteger0 tptp.xa))) (let ((_let_13 (and _let_12 _let_11 _let_10 (not (= tptp.xq tptp.sz00))))) (let ((_let_14 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_15 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_19 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_20 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_22 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_23 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_24 (tptp.aInteger0 tptp.sz10))) (let ((_let_25 (tptp.aInteger0 tptp.sz00))) (let ((_let_26 (= _let_6 _let_7))) (let ((_let_27 (tptp.smndt0 tptp.sz00))) (let ((_let_28 (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 _let_27)))) (let ((_let_29 (tptp.sdtasdt0 tptp.sz00 tptp.xb))) (let ((_let_30 (= tptp.sz00 _let_29))) (let ((_let_31 (= tptp.xb (tptp.sdtpldt0 tptp.xb tptp.sz00)))) (let ((_let_32 (tptp.smndt0 tptp.sz10))) (let ((_let_33 (tptp.sdtasdt0 tptp.xb _let_32))) (let ((_let_34 (= _let_5 _let_33))) (let ((_let_35 (tptp.sdtasdt0 _let_32 tptp.xn))) (let ((_let_36 (= _let_2 _let_35))) (let ((_let_37 (tptp.sdtasdt0 tptp.sz00 tptp.sz00))) (let ((_let_38 (= tptp.sz00 _let_37))) (let ((_let_39 (tptp.sdtasdt0 tptp.sz00 _let_32))) (let ((_let_40 (= _let_27 _let_39))) (let ((_let_41 (= (tptp.sdtasdt0 tptp.sz00 _let_33) (tptp.sdtasdt0 _let_29 _let_32)))) (let ((_let_42 (tptp.sdtpldt0 tptp.sz00 _let_32))) (let ((_let_43 (= _let_32 _let_42))) (let ((_let_44 (tptp.sdtasdt0 _let_32 _let_5))) (let ((_let_45 (tptp.smndt0 _let_5))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (tptp.sdtpldt0 _let_5 _let_45))) (let ((_let_48 (= tptp.sz00 _let_47))) (let ((_let_49 (tptp.sdtpldt0 tptp.xb _let_5))) (let ((_let_50 (= tptp.sz00 _let_49))) (let ((_let_51 (= (tptp.sdtpldt0 tptp.xb _let_47) (tptp.sdtpldt0 _let_49 _let_45)))) (let ((_let_52 (tptp.sdtasdt0 tptp.sz00 _let_5))) (let ((_let_53 (= (tptp.sdtasdt0 _let_42 _let_5) (tptp.sdtpldt0 _let_52 _let_44)))) (let ((_let_54 (= (tptp.sdtasdt0 tptp.sz00 _let_42) (tptp.sdtpldt0 _let_37 _let_39)))) (let ((_let_55 (tptp.sdtasdt0 tptp.xq _let_32))) (let ((_let_56 (= (tptp.sdtasdt0 tptp.xq _let_35) (tptp.sdtasdt0 _let_55 tptp.xn)))) (let ((_let_57 (tptp.sdtasdt0 _let_32 tptp.xa))) (let ((_let_58 (= _let_1 _let_57))) (let ((_let_59 (tptp.sdtpldt0 _let_5 tptp.xa))) (let ((_let_60 (= (tptp.sdtasdt0 _let_32 _let_59) (tptp.sdtpldt0 _let_44 _let_57)))) (let ((_let_61 (= _let_6 _let_59))) (let ((_let_62 (tptp.sdtasdt0 _let_32 tptp.xq))) (let ((_let_63 (= _let_55 _let_62))) (let ((_let_64 (= (tptp.sdtasdt0 _let_32 _let_7) (tptp.sdtasdt0 _let_62 tptp.xn)))) (let ((_let_65 (1))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (ASSUME :args (_let_4)))) (let ((_let_68 (and _let_28 (= tptp.sz00 (tptp.sdtpldt0 _let_27 tptp.sz00))))) (let ((_let_69 (not _let_25))) (let ((_let_70 (or _let_69 _let_68))) (let ((_let_71 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 (ASSUME :args (_let_25)))) (let ((_let_75 (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xb tptp.sz00)) _let_30))) (let ((_let_76 (not _let_11))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (tptp.xb QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (AND_ELIM _let_82 :args _let_65))) (let ((_let_84 (and _let_31 (= tptp.xb (tptp.sdtpldt0 tptp.sz00 tptp.xb))))) (let ((_let_85 (or _let_76 _let_84))) (let ((_let_86 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 (and (= _let_5 (tptp.sdtasdt0 _let_32 tptp.xb)) _let_34))) (let ((_let_90 (or _let_76 _let_89))) (let ((_let_91 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 (and _let_36 (= _let_2 (tptp.sdtasdt0 tptp.xn _let_32))))) (let ((_let_95 (not _let_8))) (let ((_let_96 (or _let_95 _let_94))) (let ((_let_97 (0))) (let ((_let_98 (AND_ELIM _let_66 :args _let_97))) (let ((_let_99 (or _let_69 _let_38))) (let ((_let_100 (tptp.sz00 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_101 (and (= _let_27 (tptp.sdtasdt0 _let_32 tptp.sz00)) _let_40))) (let ((_let_102 (or _let_69 _let_101))) (let ((_let_103 (tptp.aInteger0 _let_32))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_69 _let_76 _let_104 _let_41))) (let ((_let_106 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 (not _let_24))) (let ((_let_110 (or _let_109 _let_103))) (let ((_let_111 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_103 (not _let_110)))) (ASSUME :args (_let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)) _let_112 :args (_let_110 false _let_111)) :args (_let_103 false _let_24 false _let_110)))) (let ((_let_115 (and (= _let_32 (tptp.sdtpldt0 _let_32 tptp.sz00)) _let_43))) (let ((_let_116 (or _let_104 _let_115))) (let ((_let_117 (and _let_46 (= _let_45 (tptp.sdtasdt0 _let_5 _let_32))))) (let ((_let_118 (tptp.aInteger0 _let_5))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (or _let_76 _let_118))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_76 _let_118 (not _let_121)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args _let_81) :args _let_113)) _let_112 :args (_let_121 false _let_111)) :args (_let_118 false _let_11 false _let_121)))) (let ((_let_123 (and _let_48 (= tptp.sz00 (tptp.sdtpldt0 _let_45 _let_5))))) (let ((_let_124 (or _let_119 _let_123))) (let ((_let_125 (_let_5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_126 (and _let_50 (= tptp.sz00 (tptp.sdtpldt0 _let_5 tptp.xb))))) (let ((_let_127 (or _let_76 _let_126))) (let ((_let_128 (tptp.aInteger0 _let_45))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_76 _let_119 _let_129 _let_51))) (let ((_let_131 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (or _let_119 _let_128))) (let ((_let_134 (tptp.sdtpldt0 _let_32 _let_5))) (let ((_let_135 (and (= (tptp.sdtasdt0 tptp.sz00 _let_134) (tptp.sdtpldt0 _let_39 _let_52)) _let_53))) (let ((_let_136 (or _let_69 _let_104 _let_119 _let_135))) (let ((_let_137 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 (and _let_54 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.sz00 tptp.sz00) _let_32) (tptp.sdtpldt0 _let_39 _let_39))))) (let ((_let_141 (or _let_69 _let_69 _let_104 _let_140))) (let ((_let_142 (not _let_10))) (let ((_let_143 (or _let_142 _let_104 _let_95 _let_56))) (let ((_let_144 (AND_ELIM _let_82 :args (2)))) (let ((_let_145 (and _let_58 (= _let_1 (tptp.sdtasdt0 tptp.xa _let_32))))) (let ((_let_146 (not _let_12))) (let ((_let_147 (or _let_146 _let_145))) (let ((_let_148 (AND_ELIM _let_82 :args _let_97))) (let ((_let_149 (and _let_60 (= (tptp.sdtasdt0 _let_134 tptp.xa) (tptp.sdtpldt0 _let_57 (tptp.sdtasdt0 _let_5 tptp.xa)))))) (let ((_let_150 (or _let_104 _let_119 _let_146 _let_149))) (let ((_let_151 (or _let_146 _let_119 _let_61))) (let ((_let_152 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (or _let_104 _let_142 _let_63))) (let ((_let_155 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (or _let_104 _let_142 _let_95 _let_64))) (let ((_let_158 (not _let_64))) (let ((_let_159 (_let_158))) (let ((_let_160 (ASSUME :args (_let_64)))) (let ((_let_161 (APPLY_UF tptp.sdtpldt0))) (let ((_let_162 (ASSUME :args (_let_58)))) (let ((_let_163 (ASSUME :args (_let_31)))) (let ((_let_164 (ASSUME :args (_let_48)))) (let ((_let_165 (ASSUME :args (_let_51)))) (let ((_let_166 (ASSUME :args (_let_46)))) (let ((_let_167 (ASSUME :args (_let_50)))) (let ((_let_168 (ASSUME :args (_let_28)))) (let ((_let_169 (ASSUME :args (_let_40)))) (let ((_let_170 (ASSUME :args (_let_38)))) (let ((_let_171 (ASSUME :args (_let_54)))) (let ((_let_172 (APPLY_UF tptp.sdtasdt0))) (let ((_let_173 (ASSUME :args (_let_43)))) (let ((_let_174 (SYMM (SYMM _let_173)))) (let ((_let_175 (ASSUME :args (_let_30)))) (let ((_let_176 (ASSUME :args (_let_41)))) (let ((_let_177 (ASSUME :args (_let_34)))) (let ((_let_178 (ASSUME :args (_let_53)))) (let ((_let_179 (ASSUME :args (_let_60)))) (let ((_let_180 (ASSUME :args (_let_61)))) (let ((_let_181 (REFL :args (_let_32)))) (let ((_let_182 (ASSUME :args (_let_26)))) (let ((_let_183 (ASSUME :args (_let_36)))) (let ((_let_184 (ASSUME :args (_let_56)))) (let ((_let_185 (ASSUME :args (_let_63)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_160 (MODUS_PONENS (AND_INTRO _let_183 _let_184 _let_185 _let_67 _let_163 _let_164 _let_165 _let_167 _let_168 _let_170 _let_169 _let_171 _let_175 _let_173 _let_176 _let_177 _let_166 _let_178 _let_162 _let_179 _let_180 _let_182) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (SYMM _let_185) (REFL :args (tptp.xn)) :args _let_172) (SYMM _let_184) (CONG (REFL :args (tptp.xq)) (SYMM _let_183) :args _let_172)) (TRANS (CONG _let_181 (SYMM _let_182) :args _let_172) (CONG _let_181 (SYMM (SYMM _let_180)) :args _let_172) (SYMM (SYMM _let_179)) (CONG (TRANS (CONG _let_174 (REFL :args (_let_5)) :args _let_172) (SYMM (SYMM _let_178)) (CONG (TRANS (TRANS (CONG (REFL :args (tptp.sz00)) (SYMM (SYMM _let_177)) :args _let_172) (SYMM (SYMM _let_176)) (CONG (SYMM _let_175) _let_174 :args _let_172) (SYMM (SYMM _let_171)) (CONG (SYMM _let_170) (SYMM _let_169) :args _let_161) (SYMM _let_168)) (SYMM (SYMM _let_167))) (SYMM _let_166) :args _let_161) (SYMM _let_165) (CONG (REFL :args (tptp.xb)) (SYMM _let_164) :args _let_161) (SYMM _let_163)) (SYMM _let_162) :args _let_161)) :args (=)) (FALSE_INTRO _let_67)) :args ((= _let_64 false)))) :args (_let_36 _let_56 _let_63 _let_4 _let_31 _let_48 _let_51 _let_50 _let_28 _let_38 _let_40 _let_54 _let_30 _let_43 _let_41 _let_34 _let_46 _let_53 _let_58 _let_60 _let_61 _let_26)))) :args (_let_4 _let_26 _let_28 _let_30 _let_31 _let_34 _let_36 _let_40 _let_38 _let_41 _let_43 _let_46 _let_48 _let_50 _let_51 _let_53 _let_54 _let_56 _let_58 _let_60 _let_61 _let_63 _let_64)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_159))) (TRUE_INTRO (SYMM (SYMM _let_160))))) :args (_let_64 _let_158)) :args ((not (and _let_4 _let_26 _let_28 _let_30 _let_31 _let_34 _let_36 _let_40 _let_38 _let_41 _let_43 _let_46 _let_48 _let_50 _let_51 _let_53 _let_54 _let_56 _let_58 _let_60 _let_61 _let_63 _let_64)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_31))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_40))) (REFL :args ((not _let_38))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_46))) (REFL :args ((not _let_48))) (REFL :args ((not _let_50))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_56))) (REFL :args ((not _let_58))) (REFL :args ((not _let_60))) (REFL :args ((not _let_61))) (REFL :args ((not _let_63))) (REFL :args _let_159) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_142 _let_95 _let_104 _let_64 (not _let_157)))) _let_144 _let_98 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_32 tptp.xq tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_107 :args (_let_157 false _let_106)) :args (_let_64 false _let_10 false _let_8 false _let_103 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_142 _let_104 _let_63 (not _let_154)))) _let_144 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_32 tptp.xq QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_155)))) _let_156 :args (_let_154 false _let_155)) :args (_let_63 false _let_10 false _let_103 false _let_154)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_146 _let_119 _let_61 (not _let_151)))) _let_148 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (tptp.xa _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_152))) _let_153 :args (_let_151 false _let_152)) :args (_let_61 false _let_12 false _let_118 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_149 0)) :args ((or _let_60 (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_146 _let_104 _let_119 _let_149 (not _let_150)))) _let_148 _let_114 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_32 _let_5 tptp.xa QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_138 :args (_let_150 false _let_137)) :args (_let_149 false _let_12 false _let_103 false _let_118 false _let_150)) :args (_let_60 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 0)) :args ((or _let_58 (not _let_145)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_146 _let_145 (not _let_147)))) _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.xa QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_92 :args (_let_147 false _let_91)) :args (_let_145 false _let_12 false _let_147)) :args (_let_58 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_142 _let_95 _let_104 _let_56 (not _let_143)))) _let_144 _let_98 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.xq _let_32 tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_108)) _let_107 :args (_let_143 false _let_106)) :args (_let_56 false _let_10 false _let_8 false _let_103 false _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_140 0)) :args ((or _let_54 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_141))) :args ((or _let_69 _let_104 _let_140 (not _let_141)))) _let_74 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.sz00 tptp.sz00 _let_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_138 :args (_let_141 false _let_137)) :args (_let_140 false _let_25 false _let_103 false _let_141)) :args (_let_54 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_135 1)) :args ((or _let_53 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_69 _let_104 _let_119 _let_135 (not _let_136)))) _let_74 _let_114 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.sz00 _let_32 _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_138 :args (_let_136 false _let_137)) :args (_let_135 false _let_25 false _let_103 false _let_118 false _let_136)) :args (_let_53 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_76 _let_119 _let_129 _let_51 (not _let_130)))) _let_83 _let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_119 _let_128 (not _let_133)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args _let_125) :args _let_113)) _let_112 :args (_let_133 false _let_111)) :args (_let_128 false _let_118 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.xb _let_5 _let_45 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_131))) _let_132 :args (_let_130 false _let_131)) :args (_let_51 false _let_11 false _let_118 false _let_128 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_126 0)) :args ((or _let_50 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_76 _let_126 (not _let_127)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.xb QUANTIFIERS_INST_CBQI_PROP)) :args _let_73)) _let_72 :args (_let_127 false _let_71)) :args (_let_126 false _let_11 false _let_127)) :args (_let_50 false _let_126)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_123 0)) :args ((or _let_48 (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_119 _let_123 (not _let_124)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args _let_125) :args _let_73)) _let_72 :args (_let_124 false _let_71)) :args (_let_123 false _let_118 false _let_124)) :args (_let_48 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or _let_46 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_119 _let_117 (not _let_120)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_5 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_93)) _let_92 :args (_let_120 false _let_91)) :args (_let_117 false _let_118 false _let_120)) :args (_let_46 false _let_117)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_115 1)) :args ((or _let_43 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_104 _let_115 (not _let_116)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_87 :args (_let_116 false _let_86)) :args (_let_115 false _let_103 false _let_116)) :args (_let_43 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_69 _let_76 _let_104 _let_41 (not _let_105)))) _let_74 _let_83 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sz00 tptp.xb _let_32 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_108)) _let_107 :args (_let_105 false _let_106)) :args (_let_41 false _let_25 false _let_11 false _let_103 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_40 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_69 _let_101 (not _let_102)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_100) :args _let_93)) _let_92 :args (_let_102 false _let_91)) :args (_let_101 false _let_25 false _let_102)) :args (_let_40 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_69 _let_38 (not _let_99)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_100) :args _let_80))) _let_79 :args (_let_99 false _let_78)) :args (_let_38 false _let_25 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 0)) :args ((or _let_36 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_94 (not _let_96)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.xn QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_92 :args (_let_96 false _let_91)) :args (_let_94 false _let_8 false _let_96)) :args (_let_36 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_34 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_76 _let_89 (not _let_90)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_81) :args _let_93)) _let_92 :args (_let_90 false _let_91)) :args (_let_89 false _let_11 false _let_90)) :args (_let_34 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 0)) :args ((or _let_31 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_76 _let_84 (not _let_85)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_81) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_84 false _let_11 false _let_85)) :args (_let_31 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_30 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_75 (not _let_77)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_81) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_75 false _let_11 false _let_77)) :args (_let_30 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 0)) :args ((or _let_28 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_68 (not _let_70)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_68 false _let_25 false _let_70)) :args (_let_28 false _let_68)) _let_67 (AND_ELIM _let_66 :args _let_65) :args (false false _let_64 false _let_63 false _let_61 false _let_60 false _let_58 false _let_56 false _let_54 false _let_53 false _let_51 false _let_50 false _let_48 false _let_46 false _let_43 false _let_41 false _let_40 false _let_38 false _let_36 false _let_34 false _let_31 false _let_30 false _let_28 true _let_3 false _let_26)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_25 _let_24 _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_16 _let_15 _let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) _let_13 (and (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) (tptp.aDivisorOf0 tptp.xq _let_6) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) _let_9 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.60/21.83 )
% 21.60/21.83 % SZS output end Proof for NUM426+3
% 21.60/21.83 % cvc5---1.0.5 exiting
% 21.60/21.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------