TSTP Solution File: REL001+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 13:36:32 EDT 2023
% Result : Theorem 11.16s 11.40s
% Output : Proof 11.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.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 : Fri Aug 25 20:35:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 11.16/11.40 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VVIzmEvuMi/cvc5---1.0.5_10897.p...
% 11.16/11.40 ------- get file name : TPTP file name is REL001+1
% 11.16/11.40 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10897.smt2...
% 11.16/11.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.16/11.40 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.16/11.40 % SZS status Theorem for REL001+1
% 11.16/11.40 % SZS output start Proof for REL001+1
% 11.16/11.40 (
% 11.16/11.40 (let ((_let_1 (not (forall ((X0 $$unsorted)) (= (tptp.join tptp.zero X0) X0))))) (let ((_let_2 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.meet X0 (tptp.complement X0)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= tptp.top (tptp.join X0 (tptp.complement X0)))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X1))) (= (tptp.join (tptp.composition (tptp.converse X0) (tptp.complement (tptp.composition X0 X1))) _let_1) _let_1))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.composition X0 X1)) (tptp.composition (tptp.converse X1) (tptp.converse X0)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.converse (tptp.converse X0)) X0)))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.composition X0 tptp.one) X0)))) (let ((_let_8 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.meet X0 X1) (tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1))))))) (let ((_let_9 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X0))) (= X0 (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement X1))) (tptp.complement (tptp.join _let_1 X1)))))))) (let ((_let_10 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.join X0 (tptp.join X1 X2)) (tptp.join (tptp.join X0 X1) X2))))) (let ((_let_11 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.join X0 X1) (tptp.join X1 X0))))) (let ((_let_12 (tptp.complement tptp.one))) (let ((_let_13 (tptp.join _let_12 tptp.one))) (let ((_let_14 (tptp.complement _let_13))) (let ((_let_15 (tptp.composition tptp.one _let_13))) (let ((_let_16 (tptp.converse tptp.one))) (let ((_let_17 (tptp.composition _let_16 (tptp.complement _let_15)))) (let ((_let_18 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.complement (tptp.join _let_18 _let_18)))) (let ((_let_20 (tptp.join _let_17 _let_14))) (let ((_let_21 (= (tptp.join _let_19 _let_20) (tptp.join (tptp.join _let_19 _let_17) _let_14)))) (let ((_let_22 (_let_10))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.join _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.join _let_19 (tptp.complement _let_24))))) (let ((_let_26 (tptp.composition tptp.one tptp.zero))) (let ((_let_27 (tptp.converse _let_26))) (let ((_let_28 (= _let_26 (tptp.converse _let_27)))) (let ((_let_29 (tptp.converse _let_15))) (let ((_let_30 (= _let_15 (tptp.converse _let_29)))) (let ((_let_31 (tptp.converse tptp.zero))) (let ((_let_32 (= _let_31 (tptp.composition _let_31 tptp.one)))) (let ((_let_33 (tptp.converse _let_13))) (let ((_let_34 (= _let_33 (tptp.composition _let_33 tptp.one)))) (let ((_let_35 (tptp.converse _let_16))) (let ((_let_36 (tptp.composition _let_16 tptp.one))) (let ((_let_37 (= (tptp.converse _let_36) (tptp.composition _let_16 _let_35)))) (let ((_let_38 (= _let_16 _let_36))) (let ((_let_39 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_40 (= _let_39 _let_24))) (let ((_let_41 (tptp.join tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (= _let_41 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_43 (tptp.join _let_18 (tptp.complement _let_18)))) (let ((_let_44 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_45 (= _let_44 (tptp.complement _let_43)))) (let ((_let_46 (= tptp.top _let_43))) (let ((_let_47 (= _let_27 (tptp.composition _let_31 _let_16)))) (let ((_let_48 (= tptp.zero _let_44))) (let ((_let_49 (= tptp.top _let_39))) (let ((_let_50 (= tptp.zero (tptp.converse _let_31)))) (let ((_let_51 (= _let_14 _let_20))) (let ((_let_52 (= _let_29 (tptp.composition _let_33 _let_16)))) (let ((_let_53 (= _let_13 (tptp.converse _let_33)))) (let ((_let_54 (tptp.join tptp.one _let_12))) (let ((_let_55 (= _let_13 _let_54))) (let ((_let_56 (= tptp.top _let_54))) (let ((_let_57 (= tptp.one _let_35))) (let ((_let_58 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41))) (let ((_let_59 (not _let_21))) (let ((_let_60 (_let_9))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (forall ((X0 $$unsorted)) (= X0 (tptp.converse (tptp.converse X0)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (forall ((X0 $$unsorted)) (= X0 (tptp.composition X0 tptp.one))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 (_let_5))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_11))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_8))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_3))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (_let_2))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_79 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X1))) (= _let_1 (tptp.join (tptp.composition (tptp.converse X0) (tptp.complement (tptp.composition X0 X1))) _let_1)))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (tptp.one _let_13 QUANTIFIERS_INST_ENUM))) (let ((_let_82 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_83 (forall ((X0 $$unsorted)) (= X0 (tptp.join tptp.zero X0))))) (let ((_let_84 (not _let_58))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (or))) (let ((_let_87 (_let_84))) (let ((_let_88 (not _let_83))) (let ((_let_89 (and _let_84 _let_57 _let_56 _let_55 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_40 _let_38 _let_37 _let_34 _let_32 _let_30 _let_28 _let_25))) (let ((_let_90 (ASSUME :args _let_87))) (let ((_let_91 (ASSUME :args (_let_42)))) (let ((_let_92 (APPLY_UF tptp.join))) (let ((_let_93 (ASSUME :args (_let_48)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (ASSUME :args (_let_45)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (APPLY_UF tptp.complement))) (let ((_let_98 (ASSUME :args (_let_55)))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (ASSUME :args (_let_56)))) (let ((_let_101 (ASSUME :args (_let_46)))) (let ((_let_102 (CONG (TRANS (SYMM _let_101) _let_100 _let_99) :args _let_97))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (ASSUME :args (_let_25)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (ASSUME :args (_let_40)))) (let ((_let_107 (ASSUME :args (_let_49)))) (let ((_let_108 (ASSUME :args (_let_50)))) (let ((_let_109 (APPLY_UF tptp.converse))) (let ((_let_110 (ASSUME :args (_let_32)))) (let ((_let_111 (APPLY_UF tptp.composition))) (let ((_let_112 (ASSUME :args (_let_57)))) (let ((_let_113 (ASSUME :args (_let_38)))) (let ((_let_114 (ASSUME :args (_let_37)))) (let ((_let_115 (TRANS _let_113 (CONG (REFL :args (_let_16)) _let_112 :args _let_111) (SYMM _let_114) (CONG (SYMM _let_113) :args _let_109) (SYMM _let_112)))) (let ((_let_116 (ASSUME :args (_let_47)))) (let ((_let_117 (CONG (TRANS (SYMM (SYMM _let_116)) (CONG (REFL :args (_let_31)) _let_115 :args _let_111) (SYMM _let_110)) :args _let_109))) (let ((_let_118 (ASSUME :args (_let_28)))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (ASSUME :args (_let_53)))) (let ((_let_121 (ASSUME :args (_let_34)))) (let ((_let_122 (ASSUME :args (_let_52)))) (let ((_let_123 (ASSUME :args (_let_30)))) (let ((_let_124 (CONG _let_115 (TRANS (CONG (TRANS (SYMM (SYMM _let_123)) (CONG (TRANS (SYMM (SYMM _let_122)) (CONG (REFL :args (_let_33)) _let_115 :args _let_111) (SYMM _let_121)) :args _let_109) (SYMM _let_120)) :args _let_97) _let_103 _let_96 _let_94) :args _let_111))) (let ((_let_125 (REFL :args (_let_19)))) (let ((_let_126 (CONG _let_125 (TRANS _let_124 (SYMM _let_119) _let_117 (SYMM _let_108) (SYMM _let_94) (SYMM _let_96) _let_102 (CONG (TRANS (SYMM _let_99) (SYMM _let_100) (SYMM (SYMM _let_107)) (SYMM (SYMM _let_106))) :args _let_97)) :args _let_92))) (let ((_let_127 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_19 _let_17 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_106 _let_107 _let_100 _let_98 _let_101 _let_95 _let_93 _let_108 _let_110 _let_112 _let_113 _let_114 _let_116 _let_118 _let_120 _let_121 _let_122 _let_123 _let_127 _let_90 _let_91) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_125 (TRANS (SYMM _let_127) _let_103 _let_96 _let_94 _let_108 (SYMM _let_117) _let_119 (SYMM _let_124)) :args _let_92) _let_126 _let_105) (TRANS (CONG (TRANS _let_126 _let_105) (TRANS _let_103 _let_96 _let_94) :args _let_92) (SYMM _let_91)) :args (=)) (FALSE_INTRO _let_90))) :args (_let_25 _let_40 _let_49 _let_56 _let_55 _let_46 _let_45 _let_48 _let_50 _let_32 _let_57 _let_38 _let_37 _let_47 _let_28 _let_53 _let_34 _let_52 _let_30 _let_51 _let_84 _let_42))) :args (_let_84 _let_57 _let_56 _let_55 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_40 _let_38 _let_37 _let_34 _let_32 _let_30 _let_28 _let_25))) :args (true _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_58))) (REFL :args ((not _let_57))) (REFL :args ((not _let_56))) (REFL :args ((not _let_55))) (REFL :args ((not _let_53))) (REFL :args ((not _let_52))) (REFL :args ((not _let_51))) (REFL :args ((not _let_50))) (REFL :args ((not _let_49))) (REFL :args ((not _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _let_46))) (REFL :args ((not _let_45))) (REFL :args ((not _let_42))) (REFL :args ((not _let_40))) (REFL :args ((not _let_38))) (REFL :args ((not _let_37))) (REFL :args ((not _let_34))) (REFL :args ((not _let_32))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_25))) (REFL :args (_let_59)) :args _let_86)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_85) :args (_let_88))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_83))) (REFL :args _let_87) :args _let_86)) _let_85 :args (_let_84 true _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_82) :args _let_64)) _let_63 :args (_let_57 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_82) :args _let_74)) _let_75 :args (_let_56 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.one _let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_70))) _let_71 :args (_let_55 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_13 QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_53 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_81) :args _let_68)) _let_69 :args (_let_52 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args _let_81) :args (_let_79))) _let_80 :args (_let_51 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_50 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_78) :args _let_74)) _let_75 :args (_let_49 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_78) :args _let_76)) _let_77 :args (_let_48 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.one tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_68)) _let_69 :args (_let_47 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_74)) _let_75 :args (_let_46 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_73 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_71 :args (_let_42 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_71 :args (_let_40 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_67)) _let_66 :args (_let_38 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_16 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_68)) _let_69 :args (_let_37 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_33 QUANTIFIERS_INST_CBQI_PROP)) :args _let_67)) _let_66 :args (_let_34 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_67)) _let_66 :args (_let_32 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_30 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_28 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_60)) _let_61 :args (_let_25 false _let_9)) :args (_let_59 true _let_58 false _let_57 false _let_56 false _let_55 false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_42 false _let_40 false _let_38 false _let_37 false _let_34 false _let_32 false _let_30 false _let_28 false _let_25)) _let_23 :args (false true _let_21 false _let_10)) :args (_let_11 _let_10 _let_9 _let_8 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition X0 (tptp.composition X1 X2)) (tptp.composition (tptp.composition X0 X1) X2))) _let_7 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition (tptp.join X0 X1) X2) (tptp.join (tptp.composition X0 X2) (tptp.composition X1 X2)))) _let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.join X0 X1)) (tptp.join (tptp.converse X0) (tptp.converse X1)))) _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.16/11.40 )
% 11.16/11.40 % SZS output end Proof for REL001+1
% 11.16/11.41 % cvc5---1.0.5 exiting
% 11.16/11.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------