TSTP Solution File: PUZ064-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 13:13:13 EDT 2023
% Result : Unsatisfiable 26.86s 27.06s
% Output : Proof 26.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Aug 26 22:20:14 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.42 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.43 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.s4SYnfkuRX/cvc5---1.0.5_15228.p...
% 0.17/0.43 ------- get file name : TPTP file name is PUZ064-2
% 0.17/0.43 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15228.smt2...
% 0.17/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.47/10.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.46/15.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.74 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/25.78 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.86/27.06 % SZS status Unsatisfiable for PUZ064-2
% 26.86/27.06 % SZS output start Proof for PUZ064-2
% 26.88/27.08 (
% 26.88/27.08 (let ((_let_1 (forall ((V_y $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (= (tptp.c_uminus (tptp.c_uminus V_y _let_1) _let_1) V_y))))) (let ((_let_2 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y tptp.c_emptyset T_a) V_y)))) (let ((_let_3 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset V_y T_a) V_y)))) (let ((_let_4 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_union (tptp.c_union V_A V_B T_a) V_C T_a) (tptp.c_union V_A (tptp.c_union V_B V_C T_a) T_a))))) (let ((_let_5 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y)))) (let ((_let_6 (forall ((V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_UNIV V_B T_a) tptp.c_UNIV)))) (let ((_let_7 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_A (tptp.c_minus V_B V_A (tptp.tc_set T_a)) T_a) (tptp.c_union V_A V_B T_a))))) (let ((_let_8 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_union (tptp.c_minus V_B V_A (tptp.tc_set T_a)) V_A T_a) (tptp.c_union V_B V_A T_a))))) (let ((_let_9 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_inter tptp.c_UNIV V_y T_a) V_y)))) (let ((_let_10 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (= (tptp.c_minus V_A (tptp.c_uminus V_B _let_1) _let_1) (tptp.c_inter V_A V_B T_a)))))) (let ((_let_11 (forall ((T_a $$unsorted)) (= (tptp.c_uminus tptp.c_UNIV (tptp.tc_set T_a)) tptp.c_emptyset)))) (let ((_let_12 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (= (tptp.c_uminus (tptp.c_minus V_A V_B _let_1) _let_1) (tptp.c_union (tptp.c_uminus V_A _let_1) V_B T_a)))))) (let ((_let_13 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_t $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.c_Mutil_Otiling V_A T_a))) (or (not (tptp.c_in V_a V_A _let_1)) (not (tptp.c_in V_t _let_2 _let_1)) (not (= (tptp.c_inter V_a V_t T_a) tptp.c_emptyset)) (tptp.c_in (tptp.c_union V_a V_t T_a) _let_2 _let_1))))))) (let ((_let_14 (tptp.tc_set tptp.t_a))) (let ((_let_15 (tptp.c_Mutil_Otiling tptp.v_A tptp.t_a))) (let ((_let_16 (tptp.c_in tptp.v_u _let_15 _let_14))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c_inter tptp.v_t tptp.v_u tptp.t_a))) (let ((_let_19 (tptp.c_union tptp.v_t tptp.v_u tptp.t_a))) (let ((_let_20 (tptp.c_in _let_19 _let_15 _let_14))) (let ((_let_21 (or _let_20 (not (= _let_18 tptp.c_emptyset)) _let_17))) (let ((_let_22 (tptp.c_union tptp.v_a tptp.v_t tptp.t_a))) (let ((_let_23 (tptp.c_union _let_22 tptp.v_u tptp.t_a))) (let ((_let_24 (tptp.c_in _let_23 _let_15 _let_14))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c_inter _let_22 tptp.v_u tptp.t_a))) (let ((_let_27 (= _let_26 tptp.c_emptyset))) (let ((_let_28 (tptp.c_inter tptp.v_a tptp.v_t tptp.t_a))) (let ((_let_29 (= _let_28 tptp.c_emptyset))) (let ((_let_30 (tptp.c_in tptp.v_a tptp.v_A _let_14))) (let ((_let_31 (= _let_28 _let_26))) (let ((_let_32 (tptp.c_uminus tptp.c_UNIV _let_14))) (let ((_let_33 (= _let_28 _let_32))) (let ((_let_34 (tptp.c_uminus tptp.v_t _let_14))) (let ((_let_35 (tptp.c_minus tptp.v_a _let_34 _let_14))) (let ((_let_36 (= _let_28 _let_35))) (let ((_let_37 (tptp.c_uminus tptp.v_u _let_14))) (let ((_let_38 (tptp.c_minus _let_22 _let_37 _let_14))) (let ((_let_39 (= _let_26 _let_38))) (let ((_let_40 (tptp.c_uminus _let_22 _let_14))) (let ((_let_41 (tptp.c_union _let_40 _let_37 tptp.t_a))) (let ((_let_42 (= (tptp.c_uminus _let_38 _let_14) _let_41))) (let ((_let_43 (tptp.c_union _let_34 _let_37 tptp.t_a))) (let ((_let_44 (tptp.c_minus tptp.v_t _let_37 _let_14))) (let ((_let_45 (tptp.c_uminus _let_44 _let_14))) (let ((_let_46 (= _let_45 _let_43))) (let ((_let_47 (tptp.c_uminus tptp.v_a _let_14))) (let ((_let_48 (tptp.c_union _let_47 _let_34 tptp.t_a))) (let ((_let_49 (= (tptp.c_uminus _let_35 _let_14) _let_48))) (let ((_let_50 (tptp.c_union _let_22 _let_37 tptp.t_a))) (let ((_let_51 (tptp.c_union _let_38 _let_37 tptp.t_a))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (tptp.c_union tptp.v_t _let_37 tptp.t_a))) (let ((_let_54 (tptp.c_union _let_44 _let_37 tptp.t_a))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (tptp.c_union tptp.v_a _let_34 tptp.t_a))) (let ((_let_57 (= (tptp.c_union _let_35 _let_34 tptp.t_a) _let_56))) (let ((_let_58 (tptp.c_union _let_37 _let_22 tptp.t_a))) (let ((_let_59 (tptp.c_union _let_37 _let_38 tptp.t_a))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (tptp.c_union _let_37 tptp.v_t tptp.t_a))) (let ((_let_62 (= (tptp.c_union _let_37 _let_44 tptp.t_a) _let_61))) (let ((_let_63 (tptp.c_union _let_34 tptp.v_a tptp.t_a))) (let ((_let_64 (tptp.c_union _let_34 _let_35 tptp.t_a))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (= _let_37 (tptp.c_union _let_28 _let_37 tptp.t_a)))) (let ((_let_67 (= _let_34 (tptp.c_union _let_28 _let_34 tptp.t_a)))) (let ((_let_68 (= _let_37 (tptp.c_union _let_37 _let_28 tptp.t_a)))) (let ((_let_69 (= _let_34 (tptp.c_union _let_34 _let_28 tptp.t_a)))) (let ((_let_70 (= tptp.c_UNIV (tptp.c_uminus _let_32 _let_14)))) (let ((_let_71 (tptp.c_minus tptp.v_t _let_35 _let_14))) (let ((_let_72 (= _let_64 (tptp.c_uminus _let_71 _let_14)))) (let ((_let_73 (tptp.c_minus tptp.v_u _let_38 _let_14))) (let ((_let_74 (= _let_59 (tptp.c_uminus _let_73 _let_14)))) (let ((_let_75 (tptp.c_minus tptp.c_UNIV _let_34 _let_14))) (let ((_let_76 (tptp.c_uminus _let_75 _let_14))) (let ((_let_77 (= _let_76 (tptp.c_union _let_32 _let_34 tptp.t_a)))) (let ((_let_78 (tptp.c_minus tptp.c_UNIV _let_37 _let_14))) (let ((_let_79 (tptp.c_uminus _let_78 _let_14))) (let ((_let_80 (= _let_79 (tptp.c_union _let_32 _let_37 tptp.t_a)))) (let ((_let_81 (tptp.c_uminus _let_19 _let_14))) (let ((_let_82 (tptp.c_minus tptp.v_a _let_81 _let_14))) (let ((_let_83 (tptp.c_inter tptp.v_a _let_19 tptp.t_a))) (let ((_let_84 (= _let_83 _let_82))) (let ((_let_85 (= _let_50 (tptp.c_union tptp.v_a _let_53 tptp.t_a)))) (let ((_let_86 (tptp.c_union _let_37 tptp.v_a tptp.t_a))) (let ((_let_87 (tptp.c_union _let_86 tptp.v_t tptp.t_a))) (let ((_let_88 (= _let_58 _let_87))) (let ((_let_89 (= tptp.v_a (tptp.c_union tptp.v_a _let_28 tptp.t_a)))) (let ((_let_90 (= _let_22 (tptp.c_union _let_22 _let_28 tptp.t_a)))) (let ((_let_91 (= tptp.v_t (tptp.c_union tptp.v_t _let_28 tptp.t_a)))) (let ((_let_92 (= _let_44 (tptp.c_union _let_44 _let_28 tptp.t_a)))) (let ((_let_93 (= _let_38 (tptp.c_union _let_38 _let_28 tptp.t_a)))) (let ((_let_94 (= _let_47 (tptp.c_union _let_47 _let_28 tptp.t_a)))) (let ((_let_95 (= _let_40 (tptp.c_union _let_40 _let_28 tptp.t_a)))) (let ((_let_96 (tptp.c_union tptp.v_a tptp.v_a tptp.t_a))) (let ((_let_97 (= tptp.v_a _let_96))) (let ((_let_98 (tptp.c_union _let_47 _let_81 tptp.t_a))) (let ((_let_99 (tptp.c_uminus _let_82 _let_14))) (let ((_let_100 (= _let_99 _let_98))) (let ((_let_101 (= (tptp.c_uminus (tptp.c_minus _let_75 tptp.v_a _let_14) _let_14) (tptp.c_union _let_76 tptp.v_a tptp.t_a)))) (let ((_let_102 (tptp.c_minus _let_75 _let_35 _let_14))) (let ((_let_103 (= (tptp.c_uminus _let_102 _let_14) (tptp.c_union _let_76 _let_35 tptp.t_a)))) (let ((_let_104 (= (tptp.c_uminus (tptp.c_minus _let_78 _let_44 _let_14) _let_14) (tptp.c_union _let_79 _let_44 tptp.t_a)))) (let ((_let_105 (tptp.c_minus _let_22 _let_38 _let_14))) (let ((_let_106 (tptp.c_uminus _let_105 _let_14))) (let ((_let_107 (= (tptp.c_union _let_40 _let_38 tptp.t_a) _let_106))) (let ((_let_108 (tptp.c_minus tptp.v_a _let_35 _let_14))) (let ((_let_109 (tptp.c_uminus _let_108 _let_14))) (let ((_let_110 (= (tptp.c_union _let_47 _let_35 tptp.t_a) _let_109))) (let ((_let_111 (tptp.c_minus tptp.c_UNIV _let_38 _let_14))) (let ((_let_112 (tptp.c_uminus _let_111 _let_14))) (let ((_let_113 (= _let_112 (tptp.c_union _let_32 _let_38 tptp.t_a)))) (let ((_let_114 (tptp.c_minus _let_78 tptp.v_a _let_14))) (let ((_let_115 (tptp.c_uminus _let_114 _let_14))) (let ((_let_116 (= _let_115 (tptp.c_union _let_79 tptp.v_a tptp.t_a)))) (let ((_let_117 (tptp.c_union tptp.c_UNIV _let_37 tptp.t_a))) (let ((_let_118 (= (tptp.c_union _let_78 _let_37 tptp.t_a) _let_117))) (let ((_let_119 (tptp.c_union tptp.c_UNIV _let_34 tptp.t_a))) (let ((_let_120 (= (tptp.c_union _let_75 _let_34 tptp.t_a) _let_119))) (let ((_let_121 (tptp.c_union _let_37 tptp.c_UNIV tptp.t_a))) (let ((_let_122 (tptp.c_union _let_37 _let_78 tptp.t_a))) (let ((_let_123 (= _let_122 _let_121))) (let ((_let_124 (= (tptp.c_union _let_34 _let_75 tptp.t_a) (tptp.c_union _let_34 tptp.c_UNIV tptp.t_a)))) (let ((_let_125 (= (tptp.c_union _let_38 _let_73 tptp.t_a) (tptp.c_union _let_38 tptp.v_u tptp.t_a)))) (let ((_let_126 (= (tptp.c_union _let_35 _let_71 tptp.t_a) (tptp.c_union _let_35 tptp.v_t tptp.t_a)))) (let ((_let_127 (tptp.c_union tptp.v_t tptp.v_t tptp.t_a))) (let ((_let_128 (= (tptp.c_union _let_87 tptp.v_t tptp.t_a) (tptp.c_union _let_86 _let_127 tptp.t_a)))) (let ((_let_129 (tptp.c_union tptp.v_t _let_44 tptp.t_a))) (let ((_let_130 (= (tptp.c_union _let_87 _let_44 tptp.t_a) (tptp.c_union _let_86 _let_129 tptp.t_a)))) (let ((_let_131 (= (tptp.c_union _let_51 tptp.v_a tptp.t_a) (tptp.c_union _let_38 _let_86 tptp.t_a)))) (let ((_let_132 (= (tptp.c_union _let_48 tptp.v_a tptp.t_a) (tptp.c_union _let_47 _let_63 tptp.t_a)))) (let ((_let_133 (tptp.c_union _let_40 _let_86 tptp.t_a))) (let ((_let_134 (= (tptp.c_union _let_133 tptp.v_t tptp.t_a) (tptp.c_union _let_40 _let_87 tptp.t_a)))) (let ((_let_135 (tptp.c_union tptp.v_a _let_35 tptp.t_a))) (let ((_let_136 (= (tptp.c_union _let_86 _let_35 tptp.t_a) (tptp.c_union _let_37 _let_135 tptp.t_a)))) (let ((_let_137 (= tptp.v_t _let_127))) (let ((_let_138 (= tptp.v_u (tptp.c_union _let_28 tptp.v_u tptp.t_a)))) (let ((_let_139 (= _let_73 (tptp.c_union _let_28 _let_73 tptp.t_a)))) (let ((_let_140 (= _let_71 (tptp.c_union _let_28 _let_71 tptp.t_a)))) (let ((_let_141 (= tptp.v_t (tptp.c_union _let_28 tptp.v_t tptp.t_a)))) (let ((_let_142 (= _let_19 (tptp.c_union _let_28 _let_19 tptp.t_a)))) (let ((_let_143 (= tptp.v_a (tptp.c_union _let_28 tptp.v_a tptp.t_a)))) (let ((_let_144 (= _let_22 (tptp.c_union _let_28 _let_22 tptp.t_a)))) (let ((_let_145 (= _let_111 (tptp.c_uminus _let_112 _let_14)))) (let ((_let_146 (= tptp.c_UNIV _let_117))) (let ((_let_147 (= tptp.c_UNIV _let_119))) (let ((_let_148 (= _let_133 (tptp.c_union _let_41 tptp.v_a tptp.t_a)))) (let ((_let_149 (= (tptp.c_union _let_56 _let_37 tptp.t_a) (tptp.c_union tptp.v_a _let_43 tptp.t_a)))) (let ((_let_150 (tptp.c_union _let_34 tptp.v_t tptp.t_a))) (let ((_let_151 (= (tptp.c_union _let_119 tptp.v_t tptp.t_a) (tptp.c_union tptp.c_UNIV _let_150 tptp.t_a)))) (let ((_let_152 (= (tptp.c_union _let_22 tptp.v_t tptp.t_a) (tptp.c_union tptp.v_a _let_127 tptp.t_a)))) (let ((_let_153 (tptp.c_union _let_86 tptp.v_a tptp.t_a))) (let ((_let_154 (= _let_153 (tptp.c_union _let_37 _let_96 tptp.t_a)))) (let ((_let_155 (tptp.c_union _let_44 _let_86 tptp.t_a))) (let ((_let_156 (= _let_155 (tptp.c_union _let_54 tptp.v_a tptp.t_a)))) (let ((_let_157 (= (tptp.c_union tptp.v_t _let_86 tptp.t_a) (tptp.c_union _let_53 tptp.v_a tptp.t_a)))) (let ((_let_158 (tptp.c_minus _let_105 _let_86 _let_14))) (let ((_let_159 (tptp.c_uminus _let_158 _let_14))) (let ((_let_160 (= _let_159 (tptp.c_union _let_106 _let_86 tptp.t_a)))) (let ((_let_161 (tptp.c_minus tptp.c_UNIV _let_86 _let_14))) (let ((_let_162 (tptp.c_uminus _let_161 _let_14))) (let ((_let_163 (= _let_162 (tptp.c_union _let_32 _let_86 tptp.t_a)))) (let ((_let_164 (tptp.c_minus tptp.c_UNIV tptp.v_a _let_14))) (let ((_let_165 (tptp.c_uminus _let_164 _let_14))) (let ((_let_166 (= _let_165 (tptp.c_union _let_32 tptp.v_a tptp.t_a)))) (let ((_let_167 (tptp.c_minus tptp.c_UNIV _let_22 _let_14))) (let ((_let_168 (tptp.c_uminus _let_167 _let_14))) (let ((_let_169 (= _let_168 (tptp.c_union _let_32 _let_22 tptp.t_a)))) (let ((_let_170 (= (tptp.c_uminus (tptp.c_minus _let_114 _let_129 _let_14) _let_14) (tptp.c_union _let_115 _let_129 tptp.t_a)))) (let ((_let_171 (tptp.c_minus tptp.c_UNIV _let_19 _let_14))) (let ((_let_172 (tptp.c_uminus _let_171 _let_14))) (let ((_let_173 (= _let_172 (tptp.c_union _let_32 _let_19 tptp.t_a)))) (let ((_let_174 (tptp.c_minus tptp.c_UNIV tptp.v_u _let_14))) (let ((_let_175 (tptp.c_uminus _let_174 _let_14))) (let ((_let_176 (= _let_175 (tptp.c_union _let_32 tptp.v_u tptp.t_a)))) (let ((_let_177 (tptp.c_minus tptp.c_UNIV tptp.v_t _let_14))) (let ((_let_178 (tptp.c_uminus _let_177 _let_14))) (let ((_let_179 (= _let_178 (tptp.c_union _let_32 tptp.v_t tptp.t_a)))) (let ((_let_180 (= (tptp.c_uminus (tptp.c_minus _let_108 _let_81 _let_14) _let_14) (tptp.c_union _let_109 _let_81 tptp.t_a)))) (let ((_let_181 (tptp.c_inter tptp.c_UNIV _let_44 tptp.t_a))) (let ((_let_182 (= (tptp.c_minus tptp.c_UNIV _let_45 _let_14) _let_181))) (let ((_let_183 (= _let_135 (tptp.c_union _let_108 _let_35 tptp.t_a)))) (let ((_let_184 (= (tptp.c_union _let_22 _let_38 tptp.t_a) 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((_let_211 (= (tptp.c_union _let_153 tptp.v_t tptp.t_a) (tptp.c_union _let_86 _let_22 tptp.t_a)))) (let ((_let_212 (tptp.c_union tptp.v_a _let_75 tptp.t_a))) (let ((_let_213 (= (tptp.c_union _let_63 _let_75 tptp.t_a) (tptp.c_union _let_34 _let_212 tptp.t_a)))) (let ((_let_214 (tptp.c_union tptp.v_u tptp.c_UNIV tptp.t_a))) (let ((_let_215 (= (tptp.c_union (tptp.c_union _let_37 tptp.v_u tptp.t_a) tptp.c_UNIV tptp.t_a) (tptp.c_union _let_37 _let_214 tptp.t_a)))) (let ((_let_216 (tptp.c_union tptp.c_UNIV tptp.v_u tptp.t_a))) (let ((_let_217 (= (tptp.c_union _let_216 tptp.c_UNIV tptp.t_a) (tptp.c_union tptp.c_UNIV _let_214 tptp.t_a)))) (let ((_let_218 (= _let_216 (tptp.c_union _let_174 tptp.v_u tptp.t_a)))) (let ((_let_219 (tptp.c_minus _let_164 tptp.v_t _let_14))) (let ((_let_220 (tptp.c_uminus _let_219 _let_14))) (let ((_let_221 (= _let_220 (tptp.c_union _let_165 tptp.v_t tptp.t_a)))) (let ((_let_222 (tptp.c_minus _let_164 _let_34 _let_14))) (let ((_let_223 (tptp.c_uminus _let_222 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(= _let_260 (tptp.c_union (tptp.c_union _let_164 tptp.v_t tptp.t_a) tptp.v_u tptp.t_a)))) (let ((_let_262 (tptp.c_minus tptp.c_UNIV _let_82 _let_14))) (let ((_let_263 (tptp.c_uminus _let_262 _let_14))) (let ((_let_264 (= _let_263 (tptp.c_union _let_32 _let_82 tptp.t_a)))) (let ((_let_265 (= (tptp.c_uminus (tptp.c_minus _let_82 _let_35 _let_14) _let_14) (tptp.c_union _let_99 _let_35 tptp.t_a)))) (let ((_let_266 (tptp.c_minus tptp.v_t _let_164 _let_14))) (let ((_let_267 (tptp.c_uminus _let_266 _let_14))) (let ((_let_268 (= _let_253 _let_267))) (let ((_let_269 (tptp.c_minus tptp.v_u _let_164 _let_14))) (let ((_let_270 (tptp.c_uminus _let_269 _let_14))) (let ((_let_271 (= (tptp.c_union _let_37 _let_164 tptp.t_a) _let_270))) (let ((_let_272 (= _let_266 (tptp.c_uminus _let_267 _let_14)))) (let ((_let_273 (= _let_269 (tptp.c_uminus _let_270 _let_14)))) (let ((_let_274 (= _let_262 (tptp.c_uminus _let_263 _let_14)))) (let ((_let_275 (= (tptp.c_union _let_47 (tptp.c_minus tptp.v_t _let_47 _let_14) tptp.t_a) (tptp.c_union _let_47 tptp.v_t tptp.t_a)))) (let ((_let_276 (= (tptp.c_union _let_47 (tptp.c_minus tptp.v_u _let_47 _let_14) tptp.t_a) (tptp.c_union _let_47 tptp.v_u tptp.t_a)))) (let ((_let_277 (= (tptp.c_union _let_260 _let_81 tptp.t_a) (tptp.c_union _let_164 (tptp.c_union _let_19 _let_81 tptp.t_a) tptp.t_a)))) (let ((_let_278 (SYMM (ASSUME :args (_let_29))))) (let ((_let_279 (EQ_RESOLVE (ASSUME :args (_let_27)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_278 :args ((= tptp.c_emptyset _let_26) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_280 (forall ((T_a $$unsorted)) (= (tptp.c_inter tptp.v_a tptp.v_t tptp.t_a) (tptp.c_uminus tptp.c_UNIV (tptp.tc_set T_a)))))) (let ((_let_281 (EQ_RESOLVE (ASSUME :args (_let_11)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_278 :args ((forall ((T_a $$unsorted)) (= tptp.c_emptyset (tptp.c_uminus tptp.c_UNIV (tptp.tc_set T_a)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_282 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_281 :args (tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tc_set T_a)))) :args (_let_280))) _let_281 :args (_let_33 false _let_280)))) (let ((_let_283 (_let_10))) (let ((_let_284 (ASSUME :args _let_283))) (let ((_let_285 ((tptp.c_inter V_A V_B T_a)))) (let ((_let_286 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_284 :args (tptp.v_a tptp.v_t tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_285)) :args _let_283))) _let_284 :args (_let_36 false _let_10)))) (let ((_let_287 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_284 :args (_let_22 tptp.v_u tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_285)) :args _let_283))) _let_284 :args (_let_39 false _let_10)))) (let ((_let_288 (_let_12))) (let ((_let_289 (ASSUME :args _let_288))) (let ((_let_290 (tptp.tc_set T_a))) (let ((_let_291 ((tptp.c_minus V_A V_B _let_290)))) (let ((_let_292 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (_let_22 _let_37 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_288)) _let_289 :args (_let_42 false _let_12)))) (let ((_let_293 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (tptp.v_t _let_37 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_288)) _let_289 :args (_let_46 false _let_12)))) (let ((_let_294 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (tptp.v_a _let_34 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_288)) _let_289 :args (_let_49 false _let_12)))) (let ((_let_295 (_let_8))) (let ((_let_296 (ASSUME :args _let_295))) (let ((_let_297 ((tptp.c_minus V_B V_A (tptp.tc_set T_a))))) (let ((_let_298 (_let_7))) (let ((_let_299 (ASSUME :args _let_298))) (let ((_let_300 ((tptp.c_minus V_B V_A (tptp.tc_set T_a))))) (let ((_let_301 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_299 :args (_let_37 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(_let_37 tptp.t_a QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_308 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_305 :args _let_307) :args _let_306)) _let_305 :args (_let_66 false _let_304)))) (let ((_let_309 (_let_34 tptp.t_a QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_310 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_305 :args _let_309) :args _let_306)) _let_305 :args (_let_67 false _let_304)))) (let ((_let_311 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y (tptp.c_inter tptp.v_a tptp.v_t tptp.t_a) T_a))))) (let ((_let_312 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_278 :args ((forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y tptp.c_emptyset T_a))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_313 (_let_311))) (let ((_let_314 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args _let_307) :args _let_313)) _let_312 :args 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_305 :args _let_333) :args _let_306)) _let_305 :args (_let_144 false _let_304)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_305 :args _let_331) :args _let_306)) _let_305 :args (_let_143 false _let_304)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_305 :args (_let_19 tptp.t_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_306)) _let_305 :args (_let_142 false _let_304)) _let_359 _let_358 _let_357 _let_356 _let_355 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_327 :args (_let_37 tptp.v_a tptp.t_a _let_35 QUANTIFIERS_INST_E_MATCHING _let_329)) :args _let_326)) _let_327 :args (_let_136 false _let_4)) _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (tptp.c_UNIV _let_34 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_120 false _let_8)) _let_345 _let_344 _let_343 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_289 :args (tptp.v_a _let_35 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_321)) :args _let_288))) _let_289 :args (_let_110 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_289 :args (_let_22 _let_38 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_321)) :args _let_288))) _let_289 :args (_let_107 false _let_12)) _let_342 _let_341 _let_340 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (tptp.v_a _let_81 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_291)) :args _let_288)) _let_289 :args (_let_100 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_338 :args _let_331) :args _let_339)) _let_338 :args (_let_97 false _let_337)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (_let_40 tptp.t_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_313)) _let_312 :args (_let_95 false _let_311)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args (_let_47 tptp.t_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_313)) _let_312 :args (_let_94 false _let_311)) _let_336 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args _let_335) :args _let_313)) _let_312 :args (_let_92 false _let_311)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args _let_334) :args _let_313)) _let_312 :args (_let_91 false _let_311)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_312 :args _let_333) :args _let_313)) _let_312 :args (_let_90 false _let_311)) _let_332 _let_330 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_327 :args (tptp.v_a tptp.v_t tptp.t_a _let_37 QUANTIFIERS_INST_E_MATCHING _let_328)) :args _let_326)) _let_327 :args (_let_85 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_284 :args (tptp.v_a _let_19 tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_285)) :args _let_283))) _let_284 :args (_let_84 false _let_10)) _let_325 _let_324 _let_323 _let_322 _let_320 _let_315 _let_314 _let_310 _let_308 _let_303 _let_302 _let_301 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (tptp.v_a _let_34 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_57 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (tptp.v_t _let_37 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_55 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_22 _let_37 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_297)) :args _let_295)) _let_296 :args (_let_52 false _let_8)) _let_294 _let_293 _let_292 _let_287 _let_286 _let_282 _let_279 :args (false false _let_277 false _let_276 false _let_275 false _let_274 false _let_273 false _let_272 false _let_271 false _let_268 false _let_265 false _let_264 false _let_261 false _let_259 false _let_258 false _let_257 false _let_256 false _let_255 false _let_254 false _let_252 false _let_251 false _let_250 false _let_249 true _let_248 false _let_247 false _let_246 false _let_245 false _let_244 false _let_243 false _let_241 false _let_240 false _let_239 false _let_238 false _let_237 false _let_235 false _let_232 false _let_229 false _let_226 false _let_225 false _let_224 false _let_221 false _let_218 false _let_217 false _let_215 false _let_213 false _let_211 false _let_210 false _let_209 false _let_207 false _let_206 false _let_205 false _let_204 false _let_203 false _let_202 false _let_201 false _let_200 false _let_199 false _let_198 false _let_197 false _let_196 false _let_195 false _let_194 false _let_193 false _let_192 false _let_191 false _let_190 false _let_189 false _let_185 false _let_184 false _let_183 false _let_182 false _let_180 false _let_179 false _let_176 false _let_173 false _let_170 false _let_169 false _let_166 false _let_163 false _let_160 false _let_157 false _let_156 false _let_154 false _let_152 false _let_151 false _let_149 false _let_148 false _let_147 false _let_146 false _let_145 false _let_144 false _let_143 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_134 false _let_132 false _let_131 false _let_130 false _let_128 false _let_126 false _let_125 false _let_124 false _let_123 false _let_120 false _let_118 false _let_116 false _let_113 false _let_110 false _let_107 false _let_104 false _let_103 false _let_101 false _let_100 false _let_97 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_85 false _let_84 false _let_80 false _let_77 false _let_74 false _let_72 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_62 false _let_60 false _let_57 false _let_55 false _let_52 false _let_49 false _let_46 false _let_42 false _let_39 false _let_36 false _let_33 false _let_31)) :args (_let_30 _let_29 _let_16 _let_27 _let_25 _let_21 _let_13 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Relation_OImage (tptp.c_Relation_Odiag V_A T_a) V_B T_a T_a) (tptp.c_inter V_A V_B T_a))) _let_12 _let_11 _let_10 _let_9 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C _let_1)) (tptp.c_lessequals V_A V_C _let_1)))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C _let_1)) (tptp.c_lessequals V_B V_C _let_1)))) (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_C _let_1)) (not (tptp.c_lessequals V_A V_C _let_1)) (tptp.c_lessequals (tptp.c_union V_A V_B T_a) V_C _let_1)))) _let_1 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_c tptp.c_emptyset T_a))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals tptp.c_emptyset V_A (tptp.tc_set T_a))) (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))) (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))) (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.88/27.08 )
% 26.88/27.09 % SZS output end Proof for PUZ064-2
% 26.88/27.09 % cvc5---1.0.5 exiting
% 26.88/27.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------