TSTP Solution File: SEV425_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV425_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 19:22:29 EDT 2023
% Result : Theorem 29.25s 29.51s
% Output : Proof 29.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV425_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n017.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 : Thu Aug 24 02:26:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 29.25/29.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FvFrcmrr3A/cvc5---1.0.5_15087.p...
% 29.25/29.51 ------- get file name : TPTP file name is SEV425_1
% 29.25/29.51 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15087.smt2...
% 29.25/29.51 --- Run --finite-model-find --decision=internal at 15...
% 29.25/29.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 29.25/29.51 % SZS status Theorem for SEV425_1
% 29.25/29.51 % SZS output start Proof for SEV425_1
% 29.25/29.51 (
% 29.25/29.51 (let ((_let_1 (not (forall ((C tptp.set) (A0 tptp.set) (A1 tptp.set) (A2 tptp.set) (X1 tptp.element) (X2 tptp.element) (X3 tptp.element)) (let ((_let_1 (tptp.singleton X2))) (let ((_let_2 (tptp.singleton X1))) (=> (and (tptp.subset C A0) (not (tptp.member X1 A0)) (tptp.subset (tptp.union A0 _let_2) A1) (not (tptp.member X2 A1)) (tptp.subset (tptp.union A1 _let_1) A2) (not (tptp.member X3 A2))) (= (tptp.cardinality (tptp.union (tptp.union (tptp.union C _let_2) _let_1) (tptp.singleton X3))) (+ (tptp.cardinality C) 3))))))))) (let ((_let_2 (forall ((A tptp.set) (B tptp.set)) (= (= (tptp.intersection A B) tptp.empty_set) (= (tptp.cardinality (tptp.union A B)) (+ (tptp.cardinality A) (tptp.cardinality B))))))) (let ((_let_3 (forall ((X tptp.element) (S tptp.set)) (let ((_let_1 (tptp.singleton X))) (= (= (tptp.intersection _let_1 S) tptp.empty_set) (= (tptp.cardinality (tptp.union _let_1 S)) (+ (tptp.cardinality S) 1))))))) (let ((_let_4 (forall ((X tptp.element) (A tptp.set) (B tptp.set)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_5 (forall ((X tptp.element) (A tptp.set) (B tptp.set)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))))) (let ((_let_6 (forall ((A tptp.set) (B tptp.set)) (= (tptp.subset A B) (forall ((X tptp.element)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (forall ((X tptp.element) (A tptp.element)) (= (tptp.member X (tptp.singleton A)) (= X A))))) (let ((_let_8 (forall ((S tptp.set)) (= (forall ((X tptp.element)) (not (tptp.member X S))) (= S tptp.empty_set))))) (let ((_let_9 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_16))) (let ((_let_18 (or _let_11 _let_17))) (let ((_let_19 (tptp.union _let_10 _let_16))) (let ((_let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_19))) (let ((_let_21 (= _let_20 _let_18))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((tptp.member X (tptp.union A B))))) (let ((_let_25 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_25))) (let ((_let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_19))) (let ((_let_28 (and _let_27 _let_26))) (let ((_let_29 (tptp.intersection _let_19 _let_25))) (let ((_let_30 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_29))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.member X (tptp.intersection A B))))) (let ((_let_35 (forall ((X tptp.element)) (not (tptp.member X (tptp.intersection (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))))) (let ((_let_36 (= tptp.empty_set _let_29))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (not _let_35))) (let ((_let_39 (forall ((S tptp.set)) (= (forall ((X tptp.element)) (not (tptp.member X S))) (= tptp.empty_set S))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (tptp.cardinality _let_25))) (let ((_let_43 (tptp.cardinality _let_19))) (let ((_let_44 (tptp.cardinality (tptp.union _let_19 _let_25)))) (let ((_let_45 (= _let_44 (+ _let_43 _let_42)))) (let ((_let_46 (= _let_45 _let_36))) (let ((_let_47 (not _let_36))) (let ((_let_48 (forall ((A tptp.set) (B tptp.set)) (= (= (tptp.cardinality (tptp.union A B)) (+ (tptp.cardinality A) (tptp.cardinality B))) (= tptp.empty_set (tptp.intersection A B)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((tptp.union A B)))) (let ((_let_52 (tptp.cardinality _let_16))) (let ((_let_53 (tptp.cardinality _let_10))) (let ((_let_54 (= _let_53 (+ (* (- 1) _let_52) _let_43)))) (let ((_let_55 (not _let_45))) (let ((_let_56 (tptp.intersection _let_10 _let_16))) (let ((_let_57 (= tptp.empty_set _let_56))) (let ((_let_58 (= _let_57 _let_54))) (let ((_let_59 (forall ((X tptp.element)) (not (tptp.member X (tptp.intersection (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_60 (= _let_57 _let_59))) (let ((_let_61 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 _let_56))) (let ((_let_62 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 _let_16))) (let ((_let_63 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 _let_10))) (let ((_let_64 (and _let_63 _let_62))) (let ((_let_65 (= _let_61 _let_64))) (let ((_let_66 (not _let_61))) (let ((_let_67 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65))) (let ((_let_68 (= _let_62 _let_67))) (let ((_let_69 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_10))) (let ((_let_70 (not _let_64))) (let ((_let_71 (_let_7))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.member X (tptp.singleton A))))) (let ((_let_74 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9))) (let ((_let_75 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (= _let_69 _let_76))) (let ((_let_78 (not _let_69))) (let ((_let_79 (not _let_76))) (let ((_let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_81 (not _let_75))) (let ((_let_82 (or _let_81 _let_80))) (let ((_let_83 (forall ((X tptp.element)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_84 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (forall ((A tptp.set) (B tptp.set)) (= (tptp.subset A B) (forall ((X tptp.element)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 ((tptp.subset A B)))) (let ((_let_90 (tptp.cardinality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_91 (= _let_44 (+ 3 _let_90)))) (let ((_let_92 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_93 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16))) (let ((_let_94 (tptp.subset _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_97 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_98 (tptp.subset _let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_101 (not _let_84))) (let ((_let_102 (or _let_101 _let_100 _let_99 _let_96 _let_95 _let_92 _let_91))) (let ((_let_103 (forall ((C tptp.set) (A0 tptp.set) (A1 tptp.set) (A2 tptp.set) (X1 tptp.element) (X2 tptp.element) (X3 tptp.element)) (let ((_let_1 (tptp.singleton X2))) (let ((_let_2 (tptp.singleton X1))) (or (not (tptp.subset C A0)) (tptp.member X1 A0) (not (tptp.subset (tptp.union A0 _let_2) A1)) (tptp.member X2 A1) (not (tptp.subset (tptp.union A1 _let_1) A2)) (tptp.member X3 A2) (= (tptp.cardinality (tptp.union (tptp.union (tptp.union C _let_2) _let_1) (tptp.singleton X3))) (+ 3 (tptp.cardinality C))))))))) (let ((_let_104 (not _let_102))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (or))) (let ((_let_107 (not _let_103))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_105) :args (_let_107))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_103))) (REFL :args (_let_104)) :args _let_106)) _let_105 :args (_let_104 true _let_103)))) (let ((_let_109 (REFL :args (_let_102)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or _let_101 _let_83 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_84))) :args _let_106)) :args ((or _let_84 _let_102))) _let_108 :args (_let_84 true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_83 false _let_84 false _let_85)))) (let ((_let_111 (_let_83))) (let ((_let_112 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) true))))) (let ((_let_113 (ASSUME :args _let_111))) (let ((_let_114 (or _let_80 _let_74))) (let ((_let_115 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_97))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (not _let_114))) (let ((_let_118 (not _let_115))) (let ((_let_119 (or _let_118 _let_96))) (let ((_let_120 (forall ((X tptp.element)) (or (not (tptp.member X (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_121 (= _let_98 _let_120))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_121)) :args ((or _let_99 _let_120 (not _let_121)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 2)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_106)) :args ((or _let_98 _let_102))) _let_108 :args (_let_98 true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_121 false _let_86)) :args (_let_120 false _let_98 false _let_121)))) (let ((_let_123 (_let_120))) (let ((_let_124 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) true))))) (let ((_let_125 (ASSUME :args _let_123))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_116)) :args ((or _let_115 _let_117 (not _let_116)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_96 _let_118 (not _let_119)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_102 3)) _let_108 :args ((not _let_96) true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_123)) _let_122 :args (_let_119 false _let_120)) :args (_let_118 true _let_96 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22)) _let_23 :args (_let_116 false _let_4)) :args (_let_117 true _let_115 false _let_116)))) (let ((_let_127 (ASSUME :args (_let_78)))) (let ((_let_128 (APPLY_UF tptp.member))) (let ((_let_129 (ASSUME :args (_let_67)))) (let ((_let_130 (ASSUME :args (_let_63)))) (let ((_let_131 (not _let_59))) (let ((_let_132 (_let_131))) (let ((_let_133 (tptp.cardinality _let_9))) (let ((_let_134 (= _let_90 (+ _let_53 (* (- 1) _let_133))))) (let ((_let_135 (tptp.cardinality (tptp.union _let_9 tptp.empty_set)))) (let ((_let_136 (tptp.cardinality tptp.empty_set))) (let ((_let_137 (* (- 1) _let_136))) (let ((_let_138 (= _let_133 (+ _let_137 _let_135)))) (let ((_let_139 (* (- 1) _let_135))) (let ((_let_140 (+ _let_136 _let_139))) (let ((_let_141 (>= _let_140 0))) (let ((_let_142 (tptp.cardinality (tptp.union _let_16 tptp.empty_set)))) (let ((_let_143 (= _let_136 (+ (- 1) _let_142)))) (let ((_let_144 (= _let_52 (+ _let_137 _let_142)))) (let ((_let_145 (tptp.cardinality (tptp.union _let_25 tptp.empty_set)))) (let ((_let_146 (= _let_136 (+ (- 1) _let_145)))) (let ((_let_147 (= _let_42 (+ _let_137 _let_145)))) (let ((_let_148 (+ _let_44 (* (- 1) _let_90)))) (let ((_let_149 (>= _let_148 4))) (let ((_let_150 (= _let_136 (+ (- 1) _let_135)))) (let ((_let_151 (+ _let_133 _let_136 _let_139))) (let ((_let_152 (>= 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_169 (not _let_163))) (let ((_let_170 (not _let_168))) (let ((_let_171 (or _let_170 _let_100))) (let ((_let_172 (ASSUME :args (_let_170)))) (let ((_let_173 (ASSUME :args (_let_166)))) (let ((_let_174 (ASSUME :args (_let_162)))) (let ((_let_175 (not _let_158))) (let ((_let_176 (_let_175))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_157)) :args ((or _let_134 (not _let_156) (not _let_157)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_159)) :args ((or _let_156 _let_175 (not _let_159)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_176)) :args _let_176) (REWRITE :args ((=> _let_175 (not _let_165)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_175) _let_158))) (REFL :args (_let_160)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_164)) :args ((or _let_165 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_let_275 _let_278 _let_283 _let_282) :args (_let_154 _let_134 _let_54 _let_45 _let_199 _let_138 _let_143 _let_144 _let_146 _let_147 _let_249)) (SCOPE (CONTRA (INT_TIGHT_UB (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_283 :args ((not (= _let_148 3)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_282 :args _let_280)) :args ((< _let_148 3)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_258) _let_279 _let_276 _let_274 _let_271 _let_269 _let_266 _let_264 _let_262 (MACRO_SR_PRED_TRANSFORM _let_259 :args _let_207) :args (1.0 (- 1.0) (- 1.0) 1.0 (- 1.0) 1.0 1.0 1.0 (- 1.0) 1.0)) :args _let_209) :args _let_258) :args ((> _let_148 2))) :args ((not _let_257)))) :args (_let_199 _let_45 _let_134 _let_54 _let_143 _let_144 _let_146 _let_147 _let_138 _let_154 _let_249)) :args ((not (and _let_154 _let_134 _let_54 _let_45 _let_199 _let_138 _let_143 _let_144 _let_146 _let_147 _let_249)) SB_LITERAL))) (CONG 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false _let_143 true _let_141 false _let_138 false _let_134 true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_58)) :args ((or _let_54 (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_57 _let_131 (not _let_60)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_132)) :args _let_132) (REWRITE :args ((=> _let_131 (not _let_66)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_59))) (REFL :args (_let_61)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_65)) :args ((or _let_66 _let_64 (not _let_65)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_127 _let_129 _let_130) :args (_let_78 _let_63 _let_67)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_130)) (CONG (SYMM _let_129) (REFL :args (_let_10)) :args _let_128) (FALSE_INTRO _let_127))) :args (_let_78 _let_67 _let_63)) :args ((not (and _let_78 _let_63 _let_67)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_69))) (REFL :args ((not _let_63))) (REFL :args ((not _let_67))) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or _let_78 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_74 _let_75 _let_79))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_114 1)) _let_126 :args ((not _let_74) true _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_80 _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_114 0)) _let_126 :args ((not _let_80) true _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_82 false _let_83)) :args (_let_81 true _let_80 false _let_82)) :args (_let_79 true _let_74 true _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22)) _let_23 :args (_let_77 false _let_4)) :args (_let_78 true _let_76 false _let_77)) (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or (not _let_62) _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_68 false _let_7)) (REORDERING (CNF_AND_POS :args (_let_64 1)) :args ((or _let_62 _let_70))) (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or _let_63 _let_70))) :args (_let_70 true _let_69 false _let_67 false _let_68 false _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_65 _let_10 _let_16 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_65 false _let_5)) :args (_let_66 true _let_64 false _let_65)) :args (_let_59 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_56 QUANTIFIERS_INST_ENUM)) :args _let_41))) _let_40 :args (_let_60 false _let_39)) :args (_let_57 false _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_10 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50))) _let_49 :args (_let_58 false _let_48)) :args (_let_54 false _let_57 false _let_58)) :args (_let_55 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_19 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_46 false _let_48)) :args (_let_47 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_29 QUANTIFIERS_INST_ENUM)) :args _let_41))) _let_40 :args (_let_37 false _let_39)) :args (_let_38 true _let_36 false _let_37)) :args (_let_30 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_19 _let_25 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_5)) :args (_let_28 false _let_30 false _let_31)) :args (_let_20 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10 _let_16 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_22)) _let_23 :args (_let_21 false _let_4)) :args (_let_18 false _let_20 false _let_21)) :args (_let_11 true _let_17 false _let_18)) :args (false false _let_15 true _let_14 false _let_11)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 (forall ((B tptp.element) (A tptp.set) (E tptp.set)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X tptp.element) (S tptp.set)) (= (tptp.member X S) (not (tptp.member X (tptp.complement S))))) (forall ((S tptp.set)) (= (= (tptp.cardinality S) 0) (= S tptp.empty_set))) (forall ((X tptp.element) (S tptp.set)) (let ((_let_1 (tptp.singleton X))) (= (= (tptp.intersection _let_1 S) _let_1) (= (tptp.cardinality (tptp.union _let_1 S)) (tptp.cardinality S))))) _let_3 (forall ((S tptp.set) (T tptp.set)) (let ((_let_1 (tptp.intersection S T))) (= (= (tptp.cardinality _let_1) 0) (= _let_1 tptp.empty_set)))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 29.25/29.52 )
% 29.25/29.52 % SZS output end Proof for SEV425_1
% 29.25/29.52 % cvc5---1.0.5 exiting
% 29.25/29.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------