TSTP Solution File: PRO011+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 13:06:23 EDT 2023
% Result : Theorem 13.24s 13.49s
% Output : Proof 13.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:27:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 13.24/13.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yxHmBAF0oM/cvc5---1.0.5_13375.p...
% 13.24/13.49 ------- get file name : TPTP file name is PRO011+1
% 13.24/13.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13375.smt2...
% 13.24/13.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.24/13.49 --- Run --no-e-matching --full-saturate-quant at 5...
% 13.24/13.49 % SZS status Theorem for PRO011+1
% 13.24/13.49 % SZS output start Proof for PRO011+1
% 13.24/13.49 (
% 13.24/13.49 (let ((_let_1 (not (forall ((X109 $$unsorted)) (=> (tptp.occurrence_of X109 tptp.tptp0) (exists ((X110 $$unsorted) (X111 $$unsorted)) (and (tptp.leaf_occ X111 X109) (=> (tptp.occurrence_of X111 tptp.tptp1) (not (exists ((X112 $$unsorted)) (and (tptp.occurrence_of X112 tptp.tptp2) (tptp.subactivity_occurrence X112 X109) (tptp.min_precedes X110 X112 tptp.tptp0))))) (=> (tptp.occurrence_of X111 tptp.tptp2) (not (exists ((X113 $$unsorted)) (and (tptp.occurrence_of X113 tptp.tptp1) (tptp.subactivity_occurrence X113 X109) (tptp.min_precedes X110 X113 tptp.tptp0)))))))))))) (let ((_let_2 (= tptp.tptp1 tptp.tptp2))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.tptp3 tptp.tptp2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= tptp.tptp3 tptp.tptp1))) (let ((_let_7 (not _let_6))) (let ((_let_8 (= tptp.tptp4 tptp.tptp2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= tptp.tptp4 tptp.tptp1))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.atomic tptp.tptp3))) (let ((_let_13 (tptp.atomic tptp.tptp2))) (let ((_let_14 (tptp.atomic tptp.tptp1))) (let ((_let_15 (tptp.atomic tptp.tptp4))) (let ((_let_16 (tptp.atomic tptp.tptp0))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((X105 $$unsorted)) (=> (tptp.occurrence_of X105 tptp.tptp0) (exists ((X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (and (tptp.occurrence_of X106 tptp.tptp3) (tptp.root_occ X106 X105) (tptp.occurrence_of X107 tptp.tptp4) (tptp.next_subocc X106 X107 tptp.tptp0) (or (tptp.occurrence_of X108 tptp.tptp1) (tptp.occurrence_of X108 tptp.tptp2)) (tptp.next_subocc X107 X108 tptp.tptp0) (tptp.leaf_occ X108 X105))))))) (let ((_let_19 (forall ((X102 $$unsorted) (X103 $$unsorted)) (= (tptp.leaf_occ X102 X103) (exists ((X104 $$unsorted)) (and (tptp.occurrence_of X103 X104) (tptp.subactivity_occurrence X102 X103) (tptp.leaf X102 X104))))))) (let ((_let_20 (forall ((X99 $$unsorted) (X100 $$unsorted)) (= (tptp.root_occ X99 X100) (exists ((X101 $$unsorted)) (and (tptp.occurrence_of X100 X101) (tptp.subactivity_occurrence X99 X100) (tptp.root X99 X101))))))) (let ((_let_21 (forall ((X83 $$unsorted) (X84 $$unsorted) (X85 $$unsorted) (X86 $$unsorted)) (=> (and (tptp.min_precedes X83 X84 X85) (tptp.occurrence_of X86 X85) (tptp.subactivity_occurrence X84 X86)) (tptp.subactivity_occurrence X83 X86))))) (let ((_let_22 (forall ((X79 $$unsorted) (X80 $$unsorted) (X81 $$unsorted) (X82 $$unsorted)) (=> (and (tptp.occurrence_of X80 X79) (tptp.arboreal X81) (tptp.arboreal X82) (tptp.subactivity_occurrence X81 X80) (tptp.subactivity_occurrence X82 X80)) (or (tptp.min_precedes X81 X82 X79) (tptp.min_precedes X82 X81 X79) (= X81 X82)))))) (let ((_let_23 (forall ((X76 $$unsorted) (X77 $$unsorted)) (=> (and (tptp.occurrence_of X77 X76) (not (tptp.atomic X76))) (exists ((X78 $$unsorted)) (and (tptp.root X78 X76) (tptp.subactivity_occurrence X78 X77))))))) (let ((_let_24 (forall ((X60 $$unsorted) (X61 $$unsorted) (X62 $$unsorted)) (= (tptp.next_subocc X60 X61 X62) (and (tptp.min_precedes X60 X61 X62) (not (exists ((X63 $$unsorted)) (and (tptp.min_precedes X60 X63 X62) (tptp.min_precedes X63 X61 X62))))))))) (let ((_let_25 (forall ((X56 $$unsorted) (X57 $$unsorted)) (= (tptp.leaf X56 X57) (and (or (tptp.root X56 X57) (exists ((X58 $$unsorted)) (tptp.min_precedes X58 X56 X57))) (not (exists ((X59 $$unsorted)) (tptp.min_precedes X56 X59 X57)))))))) (let ((_let_26 (forall ((X41 $$unsorted) (X42 $$unsorted)) (=> (tptp.root X41 X42) (tptp.legal X41))))) (let ((_let_27 (forall ((X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (=> (tptp.min_precedes X35 X36 X37) (not (tptp.root X36 X37)))))) (let ((_let_28 (forall ((X18 $$unsorted)) (=> (tptp.legal X18) (tptp.arboreal X18))))) (let ((_let_29 (forall ((X16 $$unsorted) (X17 $$unsorted)) (=> (tptp.occurrence_of X16 X17) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_30 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (=> (and (tptp.occurrence_of X4 X5) (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_31 (forall ((X2 $$unsorted)) (=> (tptp.activity_occurrence X2) (exists ((X3 $$unsorted)) (and (tptp.activity X3) (tptp.occurrence_of X2 X3))))))) (let ((_let_32 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.occurrence_of X1 X0) (and (tptp.activity X0) (tptp.activity_occurrence X1)))))) (let ((_let_33 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 tptp.tptp1))) (let ((_let_34 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196))) (let ((_let_35 (= tptp.tptp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_196))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_37 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 tptp.tptp2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_33))) (let ((_let_40 (or _let_39 _let_38 _let_2))) (let ((_let_41 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_42 (= _let_14 _let_41))) (let ((_let_43 (or _let_39 _let_42))) (let ((_let_44 (forall ((X113 $$unsorted)) (or (not (tptp.occurrence_of X113 tptp.tptp1)) (not (tptp.subactivity_occurrence X113 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.min_precedes tptp.tptp0 X113 tptp.tptp0)))))) (let ((_let_45 (not _let_44))) (let ((_let_46 (and _let_37 _let_45))) (let ((_let_47 (tptp.leaf_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (forall ((X112 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp2)) (not (tptp.subactivity_occurrence X112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.min_precedes tptp.tptp0 X112 tptp.tptp0)))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (and _let_33 _let_49))) (let ((_let_51 (not _let_47))) (let ((_let_52 (or _let_51 _let_50 _let_46))) (let ((_let_53 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp2))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54 (not (tptp.min_precedes tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))))) (let ((_let_58 (tptp.activity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_59 (and (tptp.activity tptp.tptp2) _let_58))) (let ((_let_60 (or _let_56 _let_59))) (let ((_let_61 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_62 (= _let_13 _let_61))) (let ((_let_63 (or _let_56 _let_62))) (let ((_let_64 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp4))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_56 _let_8))) (let ((_let_67 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 tptp.tptp4))) (let ((_let_68 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_69 (forall ((X3 $$unsorted)) (or (not (tptp.activity X3)) (not (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 X3)))))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_58))) (let ((_let_72 (or _let_71 _let_70))) (let ((_let_73 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or (not (tptp.activity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110)) _let_74))) (let ((_let_76 (= tptp.tptp2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_110))) (let ((_let_77 (or _let_56 _let_74 _let_76))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_79 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tptp0))) (let ((_let_80 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 tptp.tptp0))) (let ((_let_82 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))) (let ((_let_83 (not _let_80))) (let ((_let_84 (not _let_61))) (let ((_let_85 (not _let_41))) (let ((_let_86 (not _let_79))) (let ((_let_87 (or _let_86 _let_85 _let_84 _let_83 _let_54 _let_82 _let_81 _let_78))) (let ((_let_88 (not _let_81))) (let ((_let_89 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_93 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 tptp.tptp0))) (let ((_let_95 (not _let_93))) (let ((_let_96 (not _let_92))) (let ((_let_97 (or _let_86 _let_96 _let_84 _let_95 _let_54 _let_89 _let_94 _let_68))) (let ((_let_98 (not _let_94))) (let ((_let_99 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_103 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.tptp0))) (let ((_let_104 (tptp.subactivity_occurrence SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_105 (tptp.arboreal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_106 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_107 (tptp.min_precedes SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.tptp0))) (let ((_let_108 (not _let_104))) (let ((_let_109 (not _let_105))) (let ((_let_110 (or _let_86 _let_109 _let_84 _let_108 _let_54 _let_103 _let_107 _let_106))) (let ((_let_111 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.tptp2))) (let ((_let_112 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted)) (or (not (tptp.occurrence_of X4 X5)) (not (tptp.occurrence_of X4 X6)) (= X5 X6))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (forall ((X16 $$unsorted) (X17 $$unsorted)) (or (not (tptp.occurrence_of X16 X17)) (= (tptp.arboreal X16) (tptp.atomic X17)))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (_let_115))) (let ((_let_118 (not _let_46))) (let ((_let_119 (ASSUME :args (_let_14)))) (let ((_let_120 (not _let_14))) (let ((_let_121 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 tptp.tptp0))) (let ((_let_122 (not _let_121))) (let ((_let_123 (and _let_39 _let_38))) (let ((_let_124 (tptp.next_subocc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 tptp.tptp0))) (let ((_let_125 (not _let_124))) (let ((_let_126 (not _let_67))) (let ((_let_127 (tptp.root_occ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.occurrence_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 tptp.tptp3))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128 _let_126 _let_125 _let_123 _let_122 _let_51))) (let ((_let_132 (forall ((X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp3)) (not (tptp.root_occ X106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.occurrence_of X107 tptp.tptp4)) (not (tptp.next_subocc X106 X107 tptp.tptp0)) (and (not (tptp.occurrence_of X108 tptp.tptp1)) (not (tptp.occurrence_of X108 tptp.tptp2))) (not (tptp.next_subocc X107 X108 tptp.tptp0)) (not (tptp.leaf_occ X108 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_133 (not _let_131))) (let ((_let_134 (not _let_132))) (let ((_let_135 (or _let_86 _let_134))) (let ((_let_136 (forall ((X105 $$unsorted)) (or (not (tptp.occurrence_of X105 tptp.tptp0)) (not (forall ((X106 $$unsorted) (X107 $$unsorted) (X108 $$unsorted)) (or (not (tptp.occurrence_of X106 tptp.tptp3)) (not (tptp.root_occ X106 X105)) (not (tptp.occurrence_of X107 tptp.tptp4)) (not (tptp.next_subocc X106 X107 tptp.tptp0)) (and (not (tptp.occurrence_of X108 tptp.tptp1)) (not (tptp.occurrence_of X108 tptp.tptp2))) (not (tptp.next_subocc X107 X108 tptp.tptp0)) (not (tptp.leaf_occ X108 X105))))))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (forall ((X110 $$unsorted) (X111 $$unsorted)) (or (not (tptp.leaf_occ X111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (tptp.occurrence_of X111 tptp.tptp1) (not (forall ((X112 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp2)) (not (tptp.subactivity_occurrence X112 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.min_precedes X110 X112 tptp.tptp0)))))) (and (tptp.occurrence_of X111 tptp.tptp2) (not (forall ((X113 $$unsorted)) (or (not (tptp.occurrence_of X113 tptp.tptp1)) (not (tptp.subactivity_occurrence X113 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.min_precedes X110 X113 tptp.tptp0)))))))))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_86 _let_139))) (let ((_let_141 (forall ((X109 $$unsorted)) (or (not (tptp.occurrence_of X109 tptp.tptp0)) (not (forall ((X110 $$unsorted) (X111 $$unsorted)) (or (not (tptp.leaf_occ X111 X109)) (and (tptp.occurrence_of X111 tptp.tptp1) (not (forall ((X112 $$unsorted)) (or (not (tptp.occurrence_of X112 tptp.tptp2)) (not (tptp.subactivity_occurrence X112 X109)) (not (tptp.min_precedes X110 X112 tptp.tptp0)))))) (and (tptp.occurrence_of X111 tptp.tptp2) (not (forall ((X113 $$unsorted)) (or (not (tptp.occurrence_of X113 tptp.tptp1)) (not (tptp.subactivity_occurrence X113 X109)) (not (tptp.min_precedes X110 X113 tptp.tptp0))))))))))))) (let ((_let_142 (not _let_140))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (or))) (let ((_let_145 (not _let_141))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_143) :args (_let_145))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_145) _let_141))) (REFL :args (_let_142)) :args _let_144)) _let_143 :args (_let_142 true _let_141)))) (let ((_let_147 (REFL :args (_let_140)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_140 0)) (CONG _let_147 (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_79))) :args _let_144)) :args ((or _let_79 _let_140))) _let_146 :args (_let_79 true _let_140)))) (let ((_let_149 (_let_134))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_149)) :args _let_149)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_134) _let_132))) (REFL :args (_let_133)) :args _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or 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(REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_370 1)) (CONG _let_374 (MACRO_SR_PRED_INTRO :args ((= (not _let_369) _let_368))) :args _let_144)) :args ((or _let_368 _let_370))) _let_373 :args (_let_368 true _let_370)))) (let ((_let_430 (and _let_102 _let_414))) (let ((_let_431 (ASSUME :args (_let_414)))) (let ((_let_432 (= _let_13 _let_41))) (let ((_let_433 (or _let_38 _let_432))) (let ((_let_434 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_33))))) (let ((_let_435 (_let_123))) (let ((_let_436 (ASSUME :args (_let_39)))) (let ((_let_437 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_436 _let_437 _let_405 _let_408) :args (_let_39 _let_34 _let_35 _let_36)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_409 (CONG (SYMM _let_437) _let_406 :args _let_166) (FALSE_INTRO _let_436))) :args (_let_39 _let_36 _let_35 _let_34)) :args ((not (and _let_39 _let_34 _let_35 _let_36)) SB_LITERAL))) (CONG _let_434 _let_403 _let_402 (REFL :args ((not _let_36))) :args _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_86 _let_369 _let_83 _let_85 _let_383 _let_380 _let_381 _let_36 (not _let_384)))) _let_148 _let_429 _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_432)) :args ((or _let_163 _let_41 (not _let_432)))) _let_162 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_433)) :args ((or _let_38 _let_432 (not _let_433)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_435) (CONG (REFL :args _let_435) _let_434 _let_175 :args _let_144)) :args ((or _let_33 _let_37 _let_123))) _let_354 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_131 4)) _let_150 :args ((not _let_123) true _let_131)) :args (_let_37 true _let_33 true _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 tptp.tptp2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_117))) _let_116 :args (_let_433 false _let_115)) :args (_let_432 false _let_37 false _let_433)) :args (_let_41 false _let_13 false _let_432)) _let_428 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_394)) :args ((or _let_393 _let_391 (not _let_394)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_397)) :args ((or _let_86 _let_369 _let_95 _let_96 _let_383 _let_396 _let_392 _let_395 (not _let_397)))) _let_148 _let_429 _let_246 _let_241 _let_428 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_413)) :args ((or _let_412 _let_410 (not _let_413)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_430)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_431 _let_324) (SCOPE (TRUE_ELIM (TRANS (CONG _let_325 _let_390 _let_323 :args _let_222) (TRUE_INTRO _let_431))) :args (_let_414 _let_102))) :args (_let_102 _let_414))) :args (true _let_430)) :args ((or _let_320 _let_411 (not _let_414)))) _let_318 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_417)) :args ((or _let_86 _let_108 _let_369 _let_109 _let_383 _let_414 _let_416 _let_415 (not _let_417)))) _let_148 _let_317 _let_429 _let_316 _let_428 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_425)) :args ((or _let_261 _let_424 (not _let_425)))) _let_277 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_265 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.tptp0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_266)) _let_265 :args (_let_425 false _let_264)) :args (_let_424 false _let_260 false _let_425)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_422 _let_423 _let_405 _let_408) :args (_let_420 _let_34 _let_35 _let_415)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_409 (CONG (SYMM _let_423) _let_406 :args _let_166) (FALSE_INTRO _let_422))) :args (_let_420 _let_415 _let_35 _let_34)) :args ((not (and _let_420 _let_34 _let_35 _let_415)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_420) _let_418))) _let_403 _let_402 (REFL :args (_let_419)) :args _let_144)) _let_379 _let_377 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_421)) :args ((or _let_6 _let_420 _let_331 (not _let_421)))) (ASSUME :args (_let_7)) _let_351 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 tptp.tptp3 tptp.tptp1 QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_113 :args (_let_421 false _let_112)) :args (_let_420 true _let_6 false _let_330 false _let_421)) :args (_let_419 false _let_35 false _let_34 true _let_418)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_ENUM)) :args _let_193)) _let_192 :args (_let_417 false _let_191)) :args (_let_414 false _let_79 false _let_104 false _let_368 false _let_105 false _let_382 true _let_416 true _let_415 false _let_417)) :args (_let_411 false _let_102 false _let_414)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_252 :args _let_363) :args _let_251)) _let_250 :args (_let_413 false _let_247)) :args (_let_410 false _let_411 false _let_413)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_404 _let_407 _let_405 _let_408) :args (_let_400 _let_34 _let_35 _let_395)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_409 (CONG (SYMM _let_407) _let_406 :args _let_166) (FALSE_INTRO _let_404))) :args (_let_400 _let_395 _let_35 _let_34)) :args ((not (and _let_400 _let_34 _let_35 _let_395)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_400) _let_398))) _let_403 _let_402 (REFL :args (_let_399)) :args _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_401)) :args ((or _let_10 _let_126 _let_400 (not _let_401)))) (ASSUME :args (_let_11)) _let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 tptp.tptp4 tptp.tptp1 QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_113 :args (_let_401 false _let_112)) :args (_let_400 true _let_10 false _let_67 false _let_401)) _let_377 _let_379 :args (_let_399 true _let_398 false _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_193)) _let_192 :args (_let_397 false _let_191)) :args (_let_392 false _let_79 false _let_368 false _let_93 false _let_92 false _let_382 true _let_396 true _let_395 false _let_397)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args _let_363) :args _let_237)) _let_236 :args (_let_394 false _let_227)) :args (_let_391 false _let_392 false _let_394)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_388)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_389 _let_223) (SCOPE (FALSE_ELIM (TRANS (CONG _let_226 _let_390 _let_224 :args _let_222) (FALSE_INTRO _let_389))) :args (_let_387 _let_195))) :args (_let_195 _let_387))) :args (true _let_388)) (CONG _let_219 (MACRO_SR_PRED_INTRO :args ((= (not _let_387) _let_385))) (REFL :args (_let_386)) :args _let_144)) _let_217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args _let_363) :args _let_213)) _let_212 :args (_let_387 false _let_197)) :args (_let_386 false _let_195 true _let_385)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (tptp.tptp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_CBQI_PROP)) :args _let_193)) _let_192 :args (_let_384 false _let_191)) :args (_let_36 false _let_79 false _let_368 false _let_80 false _let_41 false _let_382 true _let_380 true _let_381 false _let_384)) _let_379 _let_377 _let_354 :args (false false _let_36 false _let_35 false _let_34 true _let_33)) :args (_let_32 _let_31 _let_30 (forall ((X7 $$unsorted)) (=> (tptp.activity X7) (tptp.subactivity X7 X7))) (forall ((X8 $$unsorted) (X9 $$unsorted)) (=> (tptp.earlier X8 X9) (not (tptp.earlier X9 X8)))) (forall ((X10 $$unsorted) (X11 $$unsorted) (X12 $$unsorted)) (=> (and (tptp.earlier X10 X11) (tptp.earlier X11 X12)) (tptp.earlier X10 X12))) (forall ((X13 $$unsorted) (X14 $$unsorted) (X15 $$unsorted)) (=> (and (tptp.earlier X13 X14) (tptp.earlier X15 X14)) (or (tptp.earlier X15 X13) (tptp.earlier X13 X15) (= X13 X15)))) _let_29 _let_28 (forall ((X19 $$unsorted) (X20 $$unsorted)) (=> (and (tptp.legal X19) (tptp.earlier X20 X19)) (tptp.legal X20))) (forall ((X21 $$unsorted) (X22 $$unsorted)) (= (tptp.precedes X21 X22) (and (tptp.earlier X21 X22) (tptp.legal X22)))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (=> (tptp.min_precedes X24 X25 X23) (exists ((X26 $$unsorted) (X27 $$unsorted)) (and (tptp.subactivity X26 X23) (tptp.subactivity X27 X23) (tptp.atocc X24 X26) (tptp.atocc X25 X27))))) (forall ((X28 $$unsorted) (X29 $$unsorted)) (=> (tptp.root X29 X28) (exists ((X30 $$unsorted)) (and (tptp.subactivity X30 X28) (tptp.atocc X29 X30))))) (forall ((X31 $$unsorted) (X32 $$unsorted) (X33 $$unsorted)) (=> (tptp.min_precedes X31 X32 X33) (exists ((X34 $$unsorted)) (and (tptp.root X34 X33) (tptp.min_precedes X34 X32 X33))))) _let_27 (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted)) (=> (tptp.min_precedes X38 X39 X40) (tptp.precedes X38 X39))) _let_26 (forall ((X43 $$unsorted) (X44 $$unsorted)) (=> (and (tptp.atocc X43 X44) (tptp.legal X43)) (tptp.root X43 X44))) (forall ((X45 $$unsorted) (X46 $$unsorted) (X47 $$unsorted) (X48 $$unsorted)) (=> (and (tptp.min_precedes X45 X46 X48) (tptp.min_precedes X45 X47 X48) (tptp.precedes X46 X47)) (tptp.min_precedes X46 X47 X48))) (forall ((X49 $$unsorted) (X50 $$unsorted) (X51 $$unsorted)) (=> (tptp.min_precedes X49 X50 X51) (not (tptp.atomic X51)))) (forall ((X52 $$unsorted) (X53 $$unsorted) (X54 $$unsorted) (X55 $$unsorted)) (=> (and (tptp.min_precedes X53 X52 X55) (tptp.min_precedes X54 X52 X55) (tptp.precedes X53 X54)) (tptp.min_precedes X53 X54 X55))) _let_25 _let_24 (forall ((X64 $$unsorted) (X65 $$unsorted)) (= (tptp.atocc X64 X65) (exists ((X66 $$unsorted)) (and (tptp.subactivity X65 X66) (tptp.atomic X66) (tptp.occurrence_of X64 X66))))) (forall ((X67 $$unsorted) (X68 $$unsorted)) (=> (tptp.subactivity_occurrence X67 X68) (and (tptp.activity_occurrence X67) (tptp.activity_occurrence X68)))) (forall ((X69 $$unsorted) (X70 $$unsorted) (X71 $$unsorted)) (=> (tptp.min_precedes X70 X71 X69) (exists ((X72 $$unsorted)) (and (tptp.occurrence_of X72 X69) (tptp.subactivity_occurrence X70 X72) (tptp.subactivity_occurrence X71 X72))))) (forall ((X73 $$unsorted) (X74 $$unsorted)) (=> (and (tptp.root X74 X73) (not (tptp.atomic X73))) (exists ((X75 $$unsorted)) (and (tptp.occurrence_of X75 X73) (tptp.subactivity_occurrence X74 X75))))) _let_23 _let_22 _let_21 (forall ((X87 $$unsorted) (X88 $$unsorted) (X89 $$unsorted) (X90 $$unsorted)) (=> (and (tptp.occurrence_of X89 X87) (tptp.occurrence_of X90 X88) (not (tptp.atomic X87)) (tptp.subactivity_occurrence X89 X90)) (tptp.subactivity X87 X88))) (forall ((X91 $$unsorted) (X92 $$unsorted) (X93 $$unsorted)) (=> (and (tptp.subactivity_occurrence X91 X92) (tptp.subactivity_occurrence X92 X93)) (tptp.subactivity_occurrence X91 X93))) (forall ((X94 $$unsorted) (X95 $$unsorted) (X96 $$unsorted) (X97 $$unsorted)) (=> (and (tptp.occurrence_of X96 X94) (tptp.occurrence_of X97 X95) (tptp.subactivity X94 X95) (not (tptp.subactivity_occurrence X96 X97))) (exists ((X98 $$unsorted)) (and (tptp.subactivity_occurrence X98 X97) (not (tptp.subactivity_occurrence X98 X96)))))) _let_20 _let_19 _let_18 (tptp.activity tptp.tptp0) _let_17 _let_15 _let_14 _let_13 _let_12 (not (= tptp.tptp4 tptp.tptp3)) _let_11 _let_9 _let_7 _let_5 _let_3 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.24/13.49 )
% 13.24/13.49 % SZS output end Proof for PRO011+1
% 13.24/13.49 % cvc5---1.0.5 exiting
% 13.24/13.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------