TSTP Solution File: REL001-1 by cvc5---1.0.5

View Problem - 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 : n027.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   : Unsatisfiable 10.72s 11.22s
% Output   : Proof 10.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 19:42:04 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lNk3VT8sZS/cvc5---1.0.5_13871.p...
% 0.22/0.51  ------- get file name : TPTP file name is REL001-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13871.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.66/10.88  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.72/11.22  % SZS status Unsatisfiable for REL001-1
% 10.72/11.22  % SZS output start Proof for REL001-1
% 10.72/11.23  (
% 10.72/11.23  (let ((_let_1 (tptp.join tptp.zero tptp.sk1))) (let ((_let_2 (not (= _let_1 tptp.sk1)))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.zero (tptp.meet A (tptp.complement A)))))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.top (tptp.join A (tptp.complement A)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement B))) (= (tptp.join (tptp.composition (tptp.converse A) (tptp.complement (tptp.composition A B))) _let_1) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.composition A B)) (tptp.composition (tptp.converse B) (tptp.converse A)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.converse (tptp.converse A)) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.composition A tptp.one) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.meet A B) (tptp.complement (tptp.join (tptp.complement A) (tptp.complement B))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement A))) (= A (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement B))) (tptp.complement (tptp.join _let_1 B)))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join A (tptp.join B C)) (tptp.join (tptp.join A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join A B) (tptp.join B A))))) (let ((_let_13 (tptp.complement tptp.one))) (let ((_let_14 (tptp.join _let_13 tptp.one))) (let ((_let_15 (tptp.complement _let_14))) (let ((_let_16 (tptp.composition tptp.one _let_14))) (let ((_let_17 (tptp.converse tptp.one))) (let ((_let_18 (tptp.composition _let_17 (tptp.complement _let_16)))) (let ((_let_19 (tptp.complement tptp.sk1))) (let ((_let_20 (tptp.complement (tptp.join _let_19 _let_19)))) (let ((_let_21 (tptp.join _let_18 _let_15))) (let ((_let_22 (= (tptp.join _let_20 _let_21) (tptp.join (tptp.join _let_20 _let_18) _let_15)))) (let ((_let_23 (_let_11))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.join _let_19 tptp.sk1))) (let ((_let_26 (= tptp.sk1 (tptp.join _let_20 (tptp.complement _let_25))))) (let ((_let_27 (tptp.composition tptp.one tptp.zero))) (let ((_let_28 (tptp.converse _let_27))) (let ((_let_29 (= _let_27 (tptp.converse _let_28)))) (let ((_let_30 (tptp.converse _let_16))) (let ((_let_31 (= _let_16 (tptp.converse _let_30)))) (let ((_let_32 (tptp.converse tptp.zero))) (let ((_let_33 (= _let_32 (tptp.composition _let_32 tptp.one)))) (let ((_let_34 (tptp.converse _let_14))) (let ((_let_35 (= _let_34 (tptp.composition _let_34 tptp.one)))) (let ((_let_36 (tptp.converse _let_17))) (let ((_let_37 (tptp.composition _let_17 tptp.one))) (let ((_let_38 (= (tptp.converse _let_37) (tptp.composition _let_17 _let_36)))) (let ((_let_39 (= _let_17 _let_37))) (let ((_let_40 (tptp.join tptp.sk1 _let_19))) (let ((_let_41 (= _let_40 _let_25))) (let ((_let_42 (= _let_1 (tptp.join tptp.sk1 tptp.zero)))) (let ((_let_43 (tptp.join _let_19 (tptp.complement _let_19)))) (let ((_let_44 (tptp.meet tptp.sk1 _let_19))) (let ((_let_45 (= _let_44 (tptp.complement _let_43)))) (let ((_let_46 (= tptp.top _let_43))) (let ((_let_47 (= _let_28 (tptp.composition _let_32 _let_17)))) (let ((_let_48 (= tptp.zero _let_44))) (let ((_let_49 (= tptp.top _let_40))) (let ((_let_50 (= tptp.zero (tptp.converse _let_32)))) (let ((_let_51 (= _let_15 _let_21))) (let ((_let_52 (= _let_30 (tptp.composition _let_34 _let_17)))) (let ((_let_53 (= _let_14 (tptp.converse _let_34)))) (let ((_let_54 (tptp.join tptp.one _let_13))) (let ((_let_55 (= _let_14 _let_54))) (let ((_let_56 (= tptp.top _let_54))) (let ((_let_57 (= tptp.one _let_36))) (let ((_let_58 (= tptp.sk1 _let_1))) (let ((_let_59 (not _let_22))) (let ((_let_60 (_let_10))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (forall ((A $$unsorted)) (= A (tptp.converse (tptp.converse A)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (forall ((A $$unsorted)) (= A (tptp.composition A tptp.one))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_65))) (let ((_let_68 (_let_6))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (_let_12))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_9))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_4))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (_let_3))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (tptp.sk1 QUANTIFIERS_INST_ENUM))) (let ((_let_79 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement B))) (= _let_1 (tptp.join (tptp.composition (tptp.converse A) (tptp.complement (tptp.composition A B))) _let_1)))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (tptp.one _let_14 QUANTIFIERS_INST_ENUM))) (let ((_let_82 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_83 (SYMM (ASSUME :args (_let_2))))) (let ((_let_84 (not _let_58))) (let ((_let_85 (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_41 _let_39 _let_38 _let_35 _let_33 _let_31 _let_29 _let_26))) (let ((_let_86 (ASSUME :args (_let_42)))) (let ((_let_87 (APPLY_UF tptp.join))) (let ((_let_88 (ASSUME :args (_let_48)))) (let ((_let_89 (SYMM _let_88))) (let ((_let_90 (ASSUME :args (_let_45)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (APPLY_UF tptp.complement))) (let ((_let_93 (ASSUME :args (_let_55)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (ASSUME :args (_let_56)))) (let ((_let_96 (ASSUME :args (_let_46)))) (let ((_let_97 (CONG (TRANS (SYMM _let_96) _let_95 _let_94) :args _let_92))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_26)))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (ASSUME :args (_let_41)))) (let ((_let_102 (ASSUME :args (_let_49)))) (let ((_let_103 (ASSUME :args (_let_50)))) (let ((_let_104 (APPLY_UF tptp.converse))) (let ((_let_105 (ASSUME :args (_let_33)))) (let ((_let_106 (APPLY_UF tptp.composition))) (let ((_let_107 (ASSUME :args (_let_57)))) (let ((_let_108 (ASSUME :args (_let_39)))) (let ((_let_109 (ASSUME :args (_let_38)))) (let ((_let_110 (TRANS _let_108 (CONG (REFL :args (_let_17)) _let_107 :args _let_106) (SYMM _let_109) (CONG (SYMM _let_108) :args _let_104) (SYMM _let_107)))) (let ((_let_111 (ASSUME :args (_let_47)))) (let ((_let_112 (CONG (TRANS (SYMM (SYMM _let_111)) (CONG (REFL :args (_let_32)) _let_110 :args _let_106) (SYMM _let_105)) :args _let_104))) (let ((_let_113 (ASSUME :args (_let_29)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (ASSUME :args (_let_53)))) (let ((_let_116 (ASSUME :args (_let_35)))) (let ((_let_117 (ASSUME :args (_let_52)))) (let ((_let_118 (ASSUME :args (_let_31)))) (let ((_let_119 (CONG _let_110 (TRANS (CONG (TRANS (SYMM (SYMM _let_118)) (CONG (TRANS (SYMM (SYMM _let_117)) (CONG (REFL :args (_let_34)) _let_110 :args _let_106) (SYMM _let_116)) :args _let_104) (SYMM _let_115)) :args _let_92) _let_98 _let_91 _let_89) :args _let_106))) (let ((_let_120 (REFL :args (_let_20)))) (let ((_let_121 (CONG _let_120 (TRANS _let_119 (SYMM _let_114) _let_112 (SYMM _let_103) (SYMM _let_89) (SYMM _let_91) _let_97 (CONG (TRANS (SYMM _let_94) (SYMM _let_95) (SYMM (SYMM _let_102)) (SYMM (SYMM _let_101))) :args _let_92)) :args _let_87))) (let ((_let_122 (ASSUME :args (_let_51)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_20 _let_18 _let_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_101 _let_102 _let_95 _let_93 _let_96 _let_90 _let_88 _let_103 _let_105 _let_107 _let_108 _let_109 _let_111 _let_113 _let_115 _let_116 _let_117 _let_118 _let_122 _let_83 _let_86) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_120 (TRANS (SYMM _let_122) _let_98 _let_91 _let_89 _let_103 (SYMM _let_112) _let_114 (SYMM _let_119)) :args _let_87) _let_121 _let_100) (TRANS (CONG (TRANS _let_121 _let_100) (TRANS _let_98 _let_91 _let_89) :args _let_87) (SYMM _let_86)) :args (=)) (FALSE_INTRO _let_83))) :args (_let_26 _let_41 _let_49 _let_56 _let_55 _let_46 _let_45 _let_48 _let_50 _let_33 _let_57 _let_39 _let_38 _let_47 _let_29 _let_53 _let_35 _let_52 _let_31 _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_41 _let_39 _let_38 _let_35 _let_33 _let_31 _let_29 _let_26))) :args (true _let_85)) (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_41))) (REFL :args ((not _let_39))) (REFL :args ((not _let_38))) (REFL :args ((not _let_35))) (REFL :args ((not _let_33))) (REFL :args ((not _let_31))) (REFL :args ((not _let_29))) (REFL :args ((not _let_26))) (REFL :args (_let_59)) :args (or))) _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_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.one _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_70))) _let_71 :args (_let_55 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_14 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_6)) (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_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_78) :args _let_76)) _let_77 :args (_let_48 false _let_3)) (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_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_19 QUANTIFIERS_INST_ENUM)) :args _let_74)) _let_75 :args (_let_46 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.sk1 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_73 :args (_let_45 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.zero tptp.sk1 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_71 :args (_let_42 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.sk1 _let_19 QUANTIFIERS_INST_ENUM)) :args _let_70)) _let_71 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_17 QUANTIFIERS_INST_ENUM)) :args _let_67)) _let_66 :args (_let_39 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_17 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_68)) _let_69 :args (_let_38 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_67)) _let_66 :args (_let_35 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_67)) _let_66 :args (_let_33 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_31 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_64)) _let_63 :args (_let_29 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.sk1 tptp.sk1 QUANTIFIERS_INST_ENUM)) :args _let_60)) _let_61 :args (_let_26 false _let_10)) :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_41 false _let_39 false _let_38 false _let_35 false _let_33 false _let_31 false _let_29 false _let_26)) _let_24 :args (false true _let_22 false _let_11)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition A (tptp.composition B C)) (tptp.composition (tptp.composition A B) C))) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition (tptp.join A B) C) (tptp.join (tptp.composition A C) (tptp.composition B C)))) _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.join A B)) (tptp.join (tptp.converse A) (tptp.converse B)))) _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.72/11.23  )
% 10.72/11.23  % SZS output end Proof for REL001-1
% 10.72/11.23  % cvc5---1.0.5 exiting
% 10.72/11.23  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------