%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 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 07:00:44 EDT 2023

% Result   : Unsatisfiable 10.34s 10.64s
% Output   : Proof 10.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 17:08:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HUenmTD6eo/cvc5---1.0.5_2242.p...
% 0.20/0.50  ------- get file name : TPTP file name is LCL109-5
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2242.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.34/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.34/10.64  % SZS status Unsatisfiable for LCL109-5
% 10.34/10.64  % SZS output start Proof for LCL109-5
% 10.34/10.65  (
% 10.34/10.65  (let ((_let_1 (tptp.implies tptp.y tptp.x))) (let ((_let_2 (tptp.implies tptp.x tptp.y))) (let ((_let_3 (tptp.big_V _let_2 _let_1))) (let ((_let_4 (not (= _let_3 tptp.truth)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.ordered X Y)) (tptp.ordered (tptp.implies X Z) (tptp.implies Y Z)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.implies X Y) tptp.truth)) (tptp.ordered X Y))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.ordered X Y)) (= (tptp.implies X Y) tptp.truth))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_V X Y) (tptp.implies (tptp.implies X Y) Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_12 (= tptp.truth _let_3))) (let ((_let_13 (tptp.implies tptp.truth tptp.truth))) (let ((_let_14 (= tptp.truth _let_13))) (let ((_let_15 (tptp.implies tptp.truth tptp.x))) (let ((_let_16 (= tptp.x _let_15))) (let ((_let_17 (tptp.implies tptp.truth tptp.y))) (let ((_let_18 (= tptp.y _let_17))) (let ((_let_19 (tptp.implies _let_15 _let_15))) (let ((_let_20 (= tptp.truth (tptp.implies _let_13 _let_19)))) (let ((_let_21 (= (tptp.implies _let_17 tptp.y) (tptp.implies (tptp.implies tptp.y tptp.truth) tptp.truth)))) (let ((_let_22 (= _let_19 (tptp.implies tptp.truth _let_19)))) (let ((_let_23 (tptp.implies _let_17 _let_17))) (let ((_let_24 (= tptp.truth (tptp.implies _let_13 _let_23)))) (let ((_let_25 (= tptp.truth _let_15))) (let ((_let_26 (= _let_23 (tptp.implies tptp.truth _let_23)))) (let ((_let_27 (tptp.implies tptp.x tptp.x))) (let ((_let_28 (= tptp.truth (tptp.implies _let_2 (tptp.implies _let_1 _let_27))))) (let ((_let_29 (= _let_3 (tptp.implies (tptp.implies _let_2 _let_1) _let_1)))) (let ((_let_30 (SYMM (ASSUME :args (_let_4))))) (let ((_let_31 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.truth QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_32 :args (_let_14 false _let_31)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.x QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_32 :args (_let_16 false _let_31)))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.truth tptp.truth tptp.x QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_20 false _let_36)))) (let ((_let_40 (_let_9))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_32 :args (_let_22 false _let_31)))) (let ((_let_43 (tptp.ordered tptp.truth tptp.x))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_25))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.ordered X Y)) (= tptp.truth (tptp.implies X Y)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (tptp.truth tptp.x QUANTIFIERS_INST_ENUM))) (let ((_let_49 (tptp.ordered _let_27 _let_15))) (let ((_let_50 (tptp.ordered tptp.x tptp.truth))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (_let_5))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.implies tptp.x tptp.truth))) (let ((_let_56 (= tptp.truth _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_50))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.truth (tptp.implies X Y))) (tptp.ordered X Y))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (= tptp.truth (tptp.implies _let_15 (tptp.implies _let_55 _let_13))))) (let ((_let_62 (= (tptp.implies _let_15 tptp.x) (tptp.implies _let_55 tptp.truth)))) (let ((_let_63 (and _let_14 _let_62 _let_16 _let_20 _let_22 _let_61))) (let ((_let_64 (APPLY_UF tptp.implies))) (let ((_let_65 (ASSUME :args (_let_20)))) (let ((_let_66 (SYMM (SYMM _let_65)))) (let ((_let_67 (REFL :args (_let_19)))) (let ((_let_68 (ASSUME :args (_let_14)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (ASSUME :args (_let_22)))) (let ((_let_71 (SYMM _let_70))) (let ((_let_72 (ASSUME :args (_let_16)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (REFL :args (_let_15)))) (let ((_let_76 (ASSUME :args (_let_62)))) (let ((_let_77 (ASSUME :args (_let_61)))) (let ((_let_78 (not _let_22))) (let ((_let_79 (not _let_20))) (let ((_let_80 (not _let_16))) (let ((_let_81 (not _let_14))) (let ((_let_82 (and _let_14 _let_16 _let_20 _let_22 _let_49))) (let ((_let_83 (ASSUME :args (_let_49)))) (let ((_let_84 (TRANS _let_66 (CONG _let_69 _let_67 :args _let_64) _let_71 (CONG _let_75 _let_73 :args _let_64) (CONG _let_73 (REFL :args (tptp.x)) :args _let_64)))) (let ((_let_85 (_let_8))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (not _let_29))) (let ((_let_88 (not _let_28))) (let ((_let_89 (not _let_26))) (let ((_let_90 (not _let_24))) (let ((_let_91 (not _let_21))) (let ((_let_92 (not _let_18))) (let ((_let_93 (not _let_25))) (let ((_let_94 (_let_87))) (let ((_let_95 (not _let_12))) (let ((_let_96 (ASSUME :args (_let_29)))) (let ((_let_97 (ASSUME :args (_let_28)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_25)))) (let ((_let_100 (TRANS (SYMM (SYMM _let_99)) _let_73))) (let ((_let_101 (REFL :args (tptp.y)))) (let ((_let_102 (CONG _let_101 _let_100 :args _let_64))) (let ((_let_103 (ASSUME :args (_let_21)))) (let ((_let_104 (ASSUME :args (_let_18)))) (let ((_let_105 (ASSUME :args (_let_26)))) (let ((_let_106 (ASSUME :args (_let_24)))) (let ((_let_107 (TRANS _let_104 (CONG _let_100 _let_101 :args _let_64)))) (let ((_let_108 (CONG _let_107 (TRANS (SYMM (SYMM _let_106)) (CONG _let_69 (REFL :args (_let_23)) :args _let_64) (SYMM _let_105) (CONG (REFL :args (_let_17)) (SYMM _let_104) :args _let_64) (SYMM (SYMM _let_103)) (CONG _let_102 _let_84 :args _let_64)) :args _let_64))) (let ((_let_109 (TRANS (SYMM _let_102) _let_108 _let_98))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_96 (MODUS_PONENS (AND_INTRO _let_68 _let_97 _let_72 _let_99 _let_104 _let_70 _let_65 _let_103 _let_105 _let_106 _let_30) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG (SYMM _let_107) _let_109 :args _let_64) _let_108 _let_98) _let_68) _let_109 :args _let_64) (CONG _let_69 (REFL :args (tptp.truth)) :args _let_64) _let_69) (REFL :args (_let_3)) :args (=)) (FALSE_INTRO _let_30)) :args ((= _let_29 false)))) :args (_let_14 _let_28 _let_16 _let_25 _let_18 _let_22 _let_20 _let_21 _let_26 _let_24 _let_95)))) :args (_let_95 _let_14 _let_16 _let_18 _let_20 _let_21 _let_25 _let_22 _let_24 _let_26 _let_28 _let_29)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_94))) (TRUE_INTRO (SYMM (SYMM _let_96))))) :args (_let_29 _let_87)) :args ((not (and _let_95 _let_14 _let_16 _let_18 _let_20 _let_21 _let_25 _let_22 _let_24 _let_26 _let_28 _let_29)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_12))) (REFL :args (_let_81)) (REFL :args (_let_80)) (REFL :args (_let_92)) (REFL :args (_let_79)) (REFL :args (_let_91)) (REFL :args (_let_93)) (REFL :args (_let_78)) (REFL :args (_let_90)) (REFL :args (_let_89)) (REFL :args (_let_88)) (REFL :args _let_94) :args (or))) :args ((or _let_12 _let_81 _let_80 _let_93 _let_92 _let_79 _let_91 _let_78 _let_90 _let_89 _let_88 _let_87))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_2 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_85)) _let_86 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.x tptp.y tptp.x QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_37 :args (_let_28 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_32 :args (_let_26 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_25 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_72 _let_70 _let_68 _let_65) (SCOPE (TRUE_ELIM (TRANS (CONG _let_84 _let_74 :args (APPLY_UF tptp.ordered)) (TRUE_INTRO _let_83))) :args (_let_49 _let_16 _let_22 _let_14 _let_20))) :args (_let_14 _let_16 _let_20 _let_22 _let_49))) :args (true _let_82)) :args ((or _let_81 _let_80 _let_43 _let_79 _let_78 (not _let_49)))) _let_34 _let_35 _let_39 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_50 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_65 _let_68 _let_70 _let_76 _let_77) (SCOPE (TRANS (SYMM (SYMM _let_77)) (CONG _let_73 (TRANS (CONG (REFL :args (_let_55)) _let_69 :args _let_64) (SYMM _let_76) (CONG _let_75 _let_74 :args _let_64) (SYMM _let_71) (CONG (SYMM _let_69) _let_67 :args _let_64) (SYMM _let_66)) :args _let_64)) :args (_let_16 _let_20 _let_14 _let_22 _let_62 _let_61))) :args (_let_14 _let_62 _let_16 _let_20 _let_22 _let_61))) :args (true _let_63)) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_48) :args _let_40)) _let_41 :args (_let_62 false _let_9)) _let_35 _let_39 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.truth tptp.x tptp.truth QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_37 :args (_let_61 false _let_36)) :args (_let_56 false _let_14 false _let_62 false _let_16 false _let_20 false _let_22 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.x tptp.truth QUANTIFIERS_INST_ENUM)) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_50 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.x tptp.truth tptp.x QUANTIFIERS_INST_ENUM)) :args _let_53)) _let_54 :args (_let_52 false _let_5)) :args (_let_49 false _let_50 false _let_52)) :args (_let_43 false _let_14 false _let_16 false _let_20 false _let_22 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_48) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_25 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.truth tptp.truth tptp.y QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_24 false _let_36)) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.truth tptp.y QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_41 :args (_let_21 false _let_9)) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.y QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_32 :args (_let_18 false _let_31)) _let_35 _let_34 _let_30 :args (false false _let_29 false _let_28 false _let_26 false _let_25 false _let_24 false _let_22 false _let_21 false _let_20 false _let_18 false _let_16 false _let_14 true _let_12)) :args (_let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_hat X Y) (tptp.not (tptp.big_V (tptp.not X) (tptp.not Y))))) _let_7 _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.ordered X Y)) (tptp.ordered (tptp.implies Z X) (tptp.implies Z Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.ordered X (tptp.implies Y Z))) (tptp.ordered Y (tptp.implies X Z)))) (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (or (not (tptp.ordered Y (tptp.implies X Z))) (tptp.ordered X (tptp.implies Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.big_V X Y)) (tptp.big_hat (tptp.not X) (tptp.not Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.big_hat X Y)) (tptp.big_V (tptp.not X) (tptp.not Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.big_V X Y) Z) (tptp.big_hat (tptp.implies X Z) (tptp.implies Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies X (tptp.big_hat Y Z)) (tptp.big_hat (tptp.implies X Y) (tptp.implies X Z)))) _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.34/10.65  )
% 10.34/10.65  % SZS output end Proof for LCL109-5
% 10.34/10.65  % cvc5---1.0.5 exiting
% 10.34/10.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------