TSTP Solution File: RNG096+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG096+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 13:50:00 EDT 2023
% Result : Theorem 32.08s 32.27s
% Output : Proof 32.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG096+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 03:15:23 EDT 2023
% 0.20/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 32.08/32.27 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.GSkWtKZ6In/cvc5---1.0.5_11337.p...
% 32.08/32.27 ------- get file name : TPTP file name is RNG096+1
% 32.08/32.27 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11337.smt2...
% 32.08/32.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 32.08/32.27 --- Run --no-e-matching --full-saturate-quant at 5...
% 32.08/32.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 32.08/32.27 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 32.08/32.27 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 32.08/32.27 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 32.08/32.27 % SZS status Theorem for RNG096+1
% 32.08/32.27 % SZS output start Proof for RNG096+1
% 32.08/32.27 (
% 32.08/32.27 (let ((_let_1 (tptp.smndt0 tptp.xx))) (let ((_let_2 (not (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xw _let_1) tptp.xI)))) (let ((_let_3 (tptp.sdtasdt0 tptp.xx tptp.xb))) (let ((_let_4 (tptp.sdtasdt0 tptp.xy tptp.xa))) (let ((_let_5 (tptp.sdtpldt0 _let_4 _let_3))) (let ((_let_6 (= tptp.xw _let_5))) (let ((_let_7 (tptp.sdtpldt0 tptp.xa tptp.xb))) (let ((_let_8 (tptp.aElementOf0 tptp.xb tptp.xJ))) (let ((_let_9 (tptp.aElementOf0 tptp.xa tptp.xI))) (let ((_let_10 (and _let_9 _let_8 (= _let_7 tptp.sz10)))) (let ((_let_11 (tptp.aElement0 tptp.xy))) (let ((_let_12 (tptp.aElement0 tptp.xx))) (let ((_let_13 (and _let_12 _let_11))) (let ((_let_14 (tptp.aIdeal0 tptp.xJ))) (let ((_let_15 (tptp.aIdeal0 tptp.xI))) (let ((_let_16 (and _let_15 _let_14))) (let ((_let_17 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_19 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_20 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))))) (let ((_let_22 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_23 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_24 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_28 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_29 (tptp.aElement0 tptp.sz10))) (let ((_let_30 (tptp.aElement0 tptp.sz00))) (let ((_let_31 (tptp.smndt0 tptp.sz00))) (let ((_let_32 (tptp.sdtpldt0 _let_31 tptp.sz00))) (let ((_let_33 (= tptp.sz00 _let_32))) (let ((_let_34 (tptp.smndt0 _let_7))) (let ((_let_35 (tptp.sdtasdt0 _let_34 tptp.sz00))) (let ((_let_36 (= _let_31 _let_35))) (let ((_let_37 (tptp.sdtasdt0 tptp.xx _let_34))) (let ((_let_38 (= _let_1 _let_37))) (let ((_let_39 (= _let_34 (tptp.sdtasdt0 _let_34 _let_7)))) (let ((_let_40 (tptp.sdtpldt0 tptp.xb tptp.xa))) (let ((_let_41 (= _let_7 _let_40))) (let ((_let_42 (tptp.sdtpldt0 tptp.sz00 tptp.xa))) (let ((_let_43 (= tptp.xa _let_42))) (let ((_let_44 (tptp.smndt0 tptp.xb))) (let ((_let_45 (tptp.sdtpldt0 tptp.xb _let_44))) (let ((_let_46 (= tptp.sz00 _let_45))) (let ((_let_47 (tptp.sdtasdt0 _let_34 tptp.xa))) (let ((_let_48 (tptp.smndt0 tptp.xa))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (tptp.sdtasdt0 tptp.xa _let_34))) (let ((_let_51 (= _let_48 _let_50))) (let ((_let_52 (tptp.sdtasdt0 _let_34 tptp.xb))) (let ((_let_53 (= _let_44 _let_52))) (let ((_let_54 (= _let_31 _let_32))) (let ((_let_55 (tptp.sdtpldt0 tptp.xb _let_34))) (let ((_let_56 (= (tptp.sdtasdt0 tptp.xx _let_55) (tptp.sdtpldt0 _let_3 _let_37)))) (let ((_let_57 (= (tptp.sdtasdt0 _let_34 _let_40) (tptp.sdtpldt0 _let_52 _let_47)))) (let ((_let_58 (= _let_55 (tptp.sdtpldt0 _let_34 tptp.xb)))) (let ((_let_59 (= (tptp.sdtasdt0 _let_34 _let_42) (tptp.sdtpldt0 _let_35 _let_47)))) (let ((_let_60 (tptp.sdtpldt0 _let_3 _let_1))) (let ((_let_61 (tptp.aElementOf0 _let_60 tptp.xI))) (let ((_let_62 (= (tptp.sdtasdt0 _let_37 tptp.xa) (tptp.sdtasdt0 tptp.xx _let_47)))) (let ((_let_63 (= (tptp.sdtpldt0 _let_45 _let_48) (tptp.sdtpldt0 tptp.xb (tptp.sdtpldt0 _let_44 _let_48))))) (let ((_let_64 (tptp.aElementOf0 (tptp.sdtasdt0 _let_1 tptp.xa) tptp.xI))) (let ((_let_65 (tptp.sdtpldt0 tptp.sz00 _let_31))) (let ((_let_66 (and (= tptp.sz00 _let_65) _let_33))) (let ((_let_67 (not _let_30))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_73 (ASSUME :args (_let_30)))) (let ((_let_74 (tptp.sdtasdt0 tptp.sz00 _let_34))) (let ((_let_75 (and _let_36 (= _let_31 _let_74)))) (let ((_let_76 (or _let_67 _let_75))) (let ((_let_77 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 (tptp.sdtpldt0 tptp.xa tptp.xb)))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_78 (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_79 (ASSUME :args (_let_10)))) (let ((_let_80 (AND_INTRO (ASSUME :args (_let_6)) (AND_ELIM (EQ_RESOLVE _let_79 _let_78) :args (2))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_19)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_80 :args ((forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aElement0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_82 (_let_77))) (let ((_let_83 ((not (= (tptp.aElement0 W0) false))))) (let ((_let_84 (tptp.sdtasdt0 _let_34 tptp.xx))) (let ((_let_85 (and (= _let_1 _let_84) _let_38))) (let ((_let_86 (not _let_12))) (let ((_let_87 (or _let_86 _let_85))) (let ((_let_88 (0))) (let ((_let_89 (ASSUME :args (_let_13)))) (let ((_let_90 (AND_ELIM _let_89 :args _let_88))) (let ((_let_91 (and _let_39 (= _let_34 (tptp.sdtasdt0 _let_7 _let_34))))) (let ((_let_92 (tptp.aElement0 _let_7))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO _let_80 :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (tptp.aElement0 tptp.xb))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.aElement0 tptp.xa))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_41))) (let ((_let_101 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_105 (not _let_8))) (let ((_let_106 (tptp.aSet0 tptp.xJ))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105 _let_96))) (let ((_let_109 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1082 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1082 W0)) (tptp.aElement0 BOUND_VARIABLE_1082))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 ((not (= (tptp.aElementOf0 BOUND_VARIABLE_1082 W0) false))))) (let ((_let_113 (and _let_106 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1206 $$unsorted) (BOUND_VARIABLE_1199 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xJ)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1199 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1199) tptp.xJ)) (or (not (tptp.aElement0 BOUND_VARIABLE_1206)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1206 W1) tptp.xJ)))))))) (let ((_let_114 (= _let_14 _let_113))) (let ((_let_115 (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted) (BOUND_VARIABLE_1206 $$unsorted) (BOUND_VARIABLE_1199 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1199 W0)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1199) W0)) (or (not (tptp.aElement0 BOUND_VARIABLE_1206)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1206 W1) W0)))))))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (_let_115))) (let ((_let_118 ((tptp.aIdeal0 W0)))) (let ((_let_119 (1))) (let ((_let_120 (ASSUME :args (_let_16)))) (let ((_let_121 (EQ_RESOLVE _let_79 (TRANS _let_78 (MACRO_SR_EQ_INTRO _let_80 :args ((and _let_9 _let_8 (= tptp.sz10 _let_7)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_105 _let_96 _let_107 (not _let_108)))) (AND_ELIM _let_121 :args _let_119) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_106 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_114)) :args ((or (not _let_14) _let_113 (not _let_114)))) (AND_ELIM _let_120 :args _let_119) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.xJ QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_116 :args (_let_114 false _let_115)) :args (_let_113 false _let_14 false _let_114)) :args (_let_106 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.xJ tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_108 false _let_109)) :args (_let_96 false _let_8 false _let_106 false _let_108)))) (let ((_let_123 (not _let_9))) (let ((_let_124 (tptp.aSet0 tptp.xI))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_123 _let_98))) (let ((_let_127 (forall ((W1 $$unsorted) (BOUND_VARIABLE_1206 $$unsorted) (BOUND_VARIABLE_1199 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xI)) (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1199 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1199) tptp.xI)) (or (not (tptp.aElement0 BOUND_VARIABLE_1206)) (tptp.aElementOf0 (tptp.sdtasdt0 BOUND_VARIABLE_1206 W1) tptp.xI))))))) (let ((_let_128 (and _let_124 _let_127))) (let ((_let_129 (= _let_15 _let_128))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_129)) :args ((or (not _let_15) _let_128 (not _let_129)))) (AND_ELIM _let_120 :args _let_88) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.xI QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_117)) _let_116 :args (_let_129 false _let_115)) :args (_let_128 false _let_15 false _let_129)))) (let ((_let_131 (not _let_128))) (let ((_let_132 (AND_ELIM _let_121 :args _let_88))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_123 _let_98 _let_125 (not _let_126)))) _let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 0)) :args ((or _let_124 _let_131))) _let_130 :args (_let_124 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.xI tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_126 false _let_109)) :args (_let_98 false _let_9 false _let_124 false _let_126)))) (let ((_let_134 (tptp.sdtpldt0 tptp.xa tptp.sz00))) (let ((_let_135 (and (= tptp.xa _let_134) _let_43))) (let ((_let_136 (or _let_99 _let_135))) (let ((_let_137 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 (and _let_46 (= tptp.sz00 (tptp.sdtpldt0 _let_44 tptp.xb))))) (let ((_let_141 (or _let_97 _let_140))) (let ((_let_142 (and _let_49 _let_51))) (let ((_let_143 (or _let_99 _let_142))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_99 _let_142 (not _let_143)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_143 false _let_77)) :args (_let_142 false _let_98 false _let_143)))) (let ((_let_145 (not _let_142))) (let ((_let_146 (tptp.sdtasdt0 tptp.xb _let_34))) (let ((_let_147 (and _let_53 (= _let_44 _let_146)))) (let ((_let_148 (or _let_97 _let_147))) (let ((_let_149 (and _let_54 (= _let_31 _let_65)))) (let ((_let_150 (tptp.aElement0 _let_31))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_149))) (let ((_let_153 (or _let_67 _let_150))) (let ((_let_154 (forall ((W0 $$unsorted)) (or (not (tptp.aElement0 W0)) (tptp.aElement0 (tptp.smndt0 W0)))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO 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true _let_173)) :args (_let_183 true _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (_let_60 _let_7 _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.aElementOf0 (tptp.sdtpldt0 W1 BOUND_VARIABLE_1199) tptp.xI) (tptp.aElement0 BOUND_VARIABLE_1206)))) :args _let_181)) _let_180 :args (_let_179 false _let_127)) :args (_let_178 true _let_177 false _let_179)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_170 0)) :args ((or _let_59 (not _let_170)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_67 _let_99 _let_159 _let_170 (not _let_171)))) _let_73 _let_133 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_34 tptp.sz00 tptp.xa QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 _let_168)))) :args _let_163)) _let_162 :args (_let_171 false _let_161)) :args (_let_170 false _let_30 false _let_98 false _let_158 false _let_171)) :args (_let_59 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_97 _let_159 _let_58 (not _let_169)))) _let_122 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.xb _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_169 false _let_101)) :args (_let_58 false _let_96 false _let_158 false _let_169)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 0)) :args ((or _let_57 (not _let_166)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_99 _let_97 _let_159 _let_166 (not _let_167)))) _let_133 _let_122 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (_let_34 tptp.xb tptp.xa QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 _let_168 W0)))) :args _let_163)) _let_162 :args (_let_167 false _let_161)) :args (_let_166 false _let_98 false _let_96 false _let_158 false _let_167)) :args (_let_57 false _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_157 0)) :args ((or _let_56 (not _let_157)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_86 _let_97 _let_159 _let_157 (not _let_160)))) _let_90 _let_122 _let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.xx tptp.xb _let_34 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))))) :args _let_163)) _let_162 :args (_let_160 false _let_161)) :args (_let_157 false _let_12 false _let_96 false _let_158 false _let_160)) :args (_let_56 false _let_157)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_149 0)) :args ((or _let_54 (not _let_149)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_149 (not _let_152)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_67 _let_150 (not _let_153)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_156)) _let_155 :args (_let_153 false _let_154)) :args (_let_150 false _let_30 false _let_153)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 tptp.sz00)))) :args _let_139)) _let_138 :args (_let_152 false _let_137)) :args (_let_149 false _let_150 false _let_152)) :args (_let_54 false _let_149)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_147 0)) :args ((or _let_53 (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_97 _let_147 (not _let_148)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_148 false _let_77)) :args (_let_147 false _let_96 false _let_148)) :args (_let_53 false _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_142 1)) :args ((or _let_51 _let_145))) _let_144 :args (_let_51 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_142 0)) :args ((or _let_49 _let_145))) _let_144 :args (_let_49 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_140 0)) :args ((or _let_46 (not _let_140)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_97 _let_140 (not _let_141)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_141 false _let_69)) :args (_let_140 false _let_96 false _let_141)) :args (_let_46 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_135 1)) :args ((or _let_43 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_99 _let_135 (not _let_136)))) _let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElement0 W0) false))))) :args _let_139)) _let_138 :args (_let_136 false _let_137)) :args (_let_135 false _let_98 false _let_136)) :args (_let_43 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_97 _let_41 (not _let_100)))) _let_133 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.xa tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_100 false _let_101)) :args (_let_41 false _let_98 false _let_96 false _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 0)) :args ((or _let_39 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_91 (not _let_94)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_94 false _let_77)) :args (_let_91 false _let_92 false _let_94)) :args (_let_39 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_38 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_85 (not _let_87)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.xx QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_87 false _let_77)) :args (_let_85 false _let_12 false _let_87)) :args (_let_38 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_36 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_67 _let_75 (not _let_76)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_76 false _let_77)) :args (_let_75 false _let_30 false _let_76)) :args (_let_36 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_33 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_66 (not _let_68)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_68 false _let_69)) :args (_let_66 false _let_30 false _let_68)) :args (_let_33 false _let_66)) :args (false false _let_64 false _let_63 false _let_62 true _let_61 false _let_59 false _let_58 false _let_57 false _let_56 false _let_54 false _let_53 false _let_51 false _let_49 false _let_46 false _let_43 false _let_41 false _let_39 false _let_38 false _let_36 false _let_33)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) _let_21 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_20 _let_19 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (not (= tptp.sz10 tptp.sz00)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) _let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) _let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtasasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aIdeal0 W2)) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aElementOf0 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)) W2)))) _let_16 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElementOf0 W0 (tptp.sdtpldt1 tptp.xI tptp.xJ)))) _let_13 _let_10 _let_6 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 32.08/32.27 )
% 32.08/32.27 % SZS output end Proof for RNG096+1
% 32.08/32.27 % cvc5---1.0.5 exiting
% 32.08/32.28 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------