TSTP Solution File: SEU039+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 16:29:06 EDT 2023
% Result : Theorem 25.78s 26.37s
% Output : Proof 25.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU039+1 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 01:36:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 25.78/26.37 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wuCkV7dCIy/cvc5---1.0.5_10428.p...
% 25.78/26.37 ------- get file name : TPTP file name is SEU039+1
% 25.78/26.37 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10428.smt2...
% 25.78/26.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.78/26.37 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.78/26.37 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.78/26.37 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.78/26.37 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.78/26.37 % SZS status Theorem for SEU039+1
% 25.78/26.37 % SZS output start Proof for SEU039+1
% 25.78/26.37 (
% 25.78/26.37 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (and (tptp.in B (tptp.relation_dom C)) (tptp.in B A)) (tptp.in (tptp.apply C B) (tptp.relation_rng (tptp.relation_dom_restriction C A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in B A) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_dom_restriction C A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom C) A)) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))))) (let ((_let_8 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))))) (let ((_let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))))) (let ((_let_11 (tptp.relation tptp.empty_set))) (let ((_let_12 (tptp.empty tptp.empty_set))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_14 (and _let_12 _let_11 (tptp.relation_empty_yielding tptp.empty_set)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_16 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D)))))))))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_19 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_20 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19))) (let ((_let_21 (tptp.set_intersection2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_20))) (let ((_let_24 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_25 (tptp.relation_dom _let_24))) (let ((_let_26 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_25))) (let ((_let_27 (= _let_21 _let_25))) (let ((_let_28 (_let_18))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_intersection2 A B)))) :args _let_28)) _let_29 :args (_let_22 false _let_18)))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_20))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_23))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (tptp.element A B))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_19))) (let ((_let_37 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (= _let_31 _let_38))) (let ((_let_40 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) (tptp.in D _let_1))))))) (let ((_let_41 (_let_17))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_40))) (let ((_let_44 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_45 (tptp.relation_rng _let_24))) (let ((_let_46 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_47 (tptp.in _let_46 _let_45))) (let ((_let_48 (not _let_37))) (let ((_let_49 (not _let_36))) (let ((_let_50 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_49 _let_48 _let_47))) (let ((_let_55 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.in B (tptp.relation_dom C))) (not (tptp.in B A)) (tptp.in (tptp.apply C B) (tptp.relation_rng (tptp.relation_dom_restriction C A))))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (or))) (let ((_let_59 (not _let_55))) (let ((_let_60 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_57) :args (_let_59))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_55))) (REFL :args (_let_56)) :args _let_58)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST _let_60 _let_57 :args (_let_56 true _let_55)))) (let ((_let_62 (REFL :args (_let_54)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 3)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_37))) :args _let_58)) :args ((or _let_37 _let_54))) _let_61 :args (_let_37 true _let_54)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_31 (not _let_38) (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_38)) :args ((or _let_49 _let_48 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 2)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_36))) :args _let_58)) :args ((or _let_36 _let_54))) _let_61 :args (_let_36 true _let_54)) _let_63 :args (_let_38 false _let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args _let_44) :args _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_19 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_41))) _let_42 :args (_let_40 false _let_17)) :args (_let_39 false _let_40)) :args (_let_31 false _let_38 false _let_39)))) (let ((_let_65 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_25))) (let ((_let_66 (tptp.empty _let_25))) (let ((_let_67 (not _let_26))) (let ((_let_68 (or _let_67 _let_66 _let_65))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element A B)) (tptp.empty B) (tptp.in A B))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (= _let_46 (tptp.apply _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_65))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.apply _let_1 D)))))))) (let ((_let_76 (not _let_75))) (let ((_let_77 (= _let_47 _let_76))) (let ((_let_78 (forall ((C $$unsorted)) (= (tptp.in C (tptp.relation_rng (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (not (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (not (= C (tptp.apply _let_1 D))))))))))) (let ((_let_79 (tptp.function _let_24))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.relation _let_24))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_78))) (let ((_let_84 (forall ((A $$unsorted) (BOUND_VARIABLE_1034 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_1034) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom A))) (not (= C (tptp.apply A D)))))) (tptp.in C BOUND_VARIABLE_1034)))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 (and _let_81 _let_79))) (let ((_let_88 (or _let_53 _let_51 _let_87))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_58)) :args ((or _let_50 _let_54))) _let_61 :args (_let_50 true _let_54)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_58)) :args ((or _let_52 _let_54))) _let_61 :args (_let_52 true _let_54)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_87 1)) :args ((or _let_79 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_53 _let_51 _let_87 (not _let_88)))) _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_52 false _let_50 false _let_88)) :args (_let_79 false _let_87)))) (let ((_let_94 (or _let_53 _let_81))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_53 _let_81 (not _let_94)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_81 false _let_52 false _let_94)))) (let ((_let_98 (_let_78))) (let ((_let_99 (not _let_47))) (let ((_let_100 (CNF_OR_NEG :args (_let_54 4)))) (let ((_let_101 (not _let_77))) (let ((_let_102 (_let_75))) (let ((_let_103 (or _let_53 _let_51 _let_48 _let_71))) (let ((_let_104 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.in B A)) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_53 _let_51 _let_48 _let_71 (not _let_103)))) _let_92 _let_91 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_104)))) _let_105 :args (_let_103 false _let_104)) :args (_let_71 false _let_52 false _let_50 false _let_37 false _let_103)))) (let ((_let_107 (not _let_66))) (let ((_let_108 (tptp.empty _let_24))) (let ((_let_109 (or _let_108 _let_82 _let_107))) (let ((_let_110 (forall ((A $$unsorted)) (or (tptp.empty A) (not (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (tptp.empty _let_45))) (let ((_let_113 (and _let_112 (tptp.relation _let_45)))) (let ((_let_114 (not _let_108))) (let ((_let_115 (or _let_114 _let_113))) (let ((_let_116 (= tptp.empty_set _let_24))) (let ((_let_117 (or _let_114 _let_116))) (let ((_let_118 (= tptp.empty_set _let_45))) (let ((_let_119 (not _let_112))) (let ((_let_120 (not _let_12))) (let ((_let_121 (or _let_120 _let_118 _let_119))) (let ((_let_122 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (or (not (tptp.empty A)) (and (tptp.empty _let_1) (tptp.relation _let_1))))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 (tptp.in _let_46 tptp.empty_set))) (let ((_let_128 (tptp.relation_dom tptp.empty_set))) (let ((_let_129 (= _let_128 _let_21))) (let ((_let_130 (and _let_129 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom tptp.empty_set))) (= (tptp.apply tptp.empty_set D) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D))))))) (let ((_let_131 (= _let_116 _let_130))) (let ((_let_132 (= tptp.empty_set (tptp.relation_rng tptp.empty_set)))) (let ((_let_133 (= _let_46 (tptp.apply tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_134 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_128))) (let ((_let_135 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom tptp.empty_set))) (not (= C (tptp.apply tptp.empty_set D)))))) (tptp.in C tptp.empty_set))))) (let ((_let_136 (= _let_135 _let_132))) (let ((_let_137 (not _let_133))) (let ((_let_138 (not _let_134))) (let ((_let_139 (or _let_138 _let_137))) (let ((_let_140 (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom tptp.empty_set))) (not (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.apply tptp.empty_set D))))))) (let ((_let_141 (not _let_140))) (let ((_let_142 (= _let_141 _let_127))) (let ((_let_143 (not _let_118))) (let ((_let_144 (not _let_116))) (let ((_let_145 (and _let_99 _let_118))) (let ((_let_146 (_let_99 _let_118))) (let ((_let_147 (ASSUME :args (_let_99)))) (let ((_let_148 (APPLY_UF tptp.in))) (let ((_let_149 (ASSUME :args (_let_118)))) (let ((_let_150 (SYMM (SYMM _let_149)))) (let ((_let_151 (tptp.function tptp.empty_set))) (let ((_let_152 (not _let_151))) (let ((_let_153 (not _let_11))) (let ((_let_154 (or _let_153 _let_152 _let_53 _let_51 _let_131))) (let ((_let_155 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1238 $$unsorted)) (or (not 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_let_31))) :args (true _let_188)) :args ((or (not _let_129) _let_187 _let_134 _let_32))) _let_64 _let_30 (RESOLUTION (CNF_AND_NEG :args (_let_183)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_181 _let_186) (SCOPE (TRANS (SYMM (SYMM _let_186)) (CONG _let_182 _let_185 :args (APPLY_UF tptp.apply))) :args _let_184)) :args _let_184)) :args (true _let_183)) _let_106 (RESOLUTION (CNF_AND_NEG :args (_let_179)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_181 _let_149) (SCOPE (TRANS _let_150 (CONG _let_182 :args (APPLY_UF tptp.relation_rng))) :args _let_180)) :args _let_180)) :args (true _let_179)) (REORDERING (CNF_AND_POS :args (_let_130 0)) :args ((or _let_129 (not _let_130)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_131)) :args ((or _let_130 _let_144 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_153 _let_53 _let_51 _let_152 _let_131 (not _let_154)))) _let_178 _let_92 _let_91 _let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.relation B) false)) _let_158))) :args _let_157)) _let_156 :args (_let_154 false _let_155)) :args (_let_131 false _let_11 false _let_52 false _let_50 false _let_151 false _let_154)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_147 _let_149) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_46)) _let_150 :args _let_148) (FALSE_INTRO _let_147))) :args _let_146)) :args _let_146)) :args (true _let_145)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_47))) (REFL :args (_let_143)) (REFL :args ((not _let_127))) :args _let_58)) _let_100 _let_60 _let_57 :args ((or _let_144 _let_143) true _let_140 false _let_142 true _let_139 false _let_135 false _let_136 false _let_134 false _let_31 false _let_22 false _let_133 false _let_71 false _let_132 false _let_129 false _let_130 false _let_131 true _let_127 true _let_47 true _let_54 true _let_55)) (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_112 (not _let_113)))) (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_114 _let_116 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_125 :args (_let_117 false _let_124)) (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_113 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng A)))) :args (_let_122))) _let_123 :args (_let_115 false _let_122)) :args (_let_114 false _let_121 false _let_12 true _let_118 false _let_112 false _let_116 false _let_117 false _let_113 false _let_115)) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_107 true _let_108 false _let_81 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_72 _let_73 (not _let_74)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args _let_44) :args _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_77)) (CONG (REFL :args (_let_101)) (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_58)) :args ((or _let_47 _let_75 _let_101))) (MACRO_RESOLUTION_TRUST _let_100 _let_61 :args (_let_99 true _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_98) :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_45)))) :args _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_80 _let_78 (not _let_83)))) _let_97 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_24 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_86))) _let_85 :args (_let_83 false _let_84)) :args (_let_78 false _let_81 false _let_79 false _let_83)) :args (_let_77 false _let_78)) :args (_let_75 true _let_47 false _let_77)) :args (_let_74 false _let_75)) :args (_let_73 false _let_71 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) true))))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 true _let_66 true _let_65 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_23 (not _let_33)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_23 false _let_31 false _let_33)) _let_30 :args (false false _let_27 true _let_26 false _let_23 false _let_22)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_18 _let_17 _let_16 _let_15 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.relation_empty_yielding A)) (and (tptp.relation _let_1) (tptp.relation_empty_yielding _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_intersection2 A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_12 _let_13 (and _let_12 _let_11) _let_10 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) _let_8 (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_7 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.78/26.38 )
% 25.78/26.38 % SZS output end Proof for SEU039+1
% 25.78/26.38 % cvc5---1.0.5 exiting
% 25.78/26.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------