%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT010_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 : Wed Aug 30 22:10:17 EDT 2023

% Result   : Theorem 15.36s 15.56s
% Output   : Proof 15.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : DAT010_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.36  % Computer : n016.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit   : 300
% 0.18/0.36  % WCLimit    : 300
% 0.18/0.36  % DateTime   : Thu Aug 24 15:16:09 EDT 2023
% 0.18/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_ARI
% 15.36/15.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dRec5DgiXN/cvc5---1.0.5_31479.p...
% 15.36/15.56  ------- get file name : TPTP file name is DAT010_1
% 15.36/15.56  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31479.smt2...
% 15.36/15.56  --- Run --finite-model-find --decision=internal at 15...
% 15.36/15.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.36/15.56  % SZS status Theorem for DAT010_1
% 15.36/15.56  % SZS output start Proof for DAT010_1
% 15.36/15.56  (
% 15.36/15.56  (let ((_let_1 (not (forall ((U tptp.array) (V tptp.array)) (=> (and (= U (tptp.write (tptp.write (tptp.write (tptp.write V 3 33) 4 444) 5 55) 4 44)) (forall ((W Int)) (< (tptp.read V W) 100))) (forall ((X Int)) (< (tptp.read U X) 100))))))) (let ((_let_2 (forall ((X tptp.array) (Y Int) (Z Int) (X1 Int)) (or (= Y Z) (= (tptp.read (tptp.write X Y X1) Z) (tptp.read X Z)))))) (let ((_let_3 (forall ((U tptp.array) (V Int) (W Int)) (= (tptp.read (tptp.write U V W) V) W)))) (let ((_let_4 (tptp.write SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 33))) (let ((_let_5 (tptp.write _let_4 4 444))) (let ((_let_6 (tptp.write _let_5 5 55))) (let ((_let_7 (tptp.write _let_6 4 44))) (let ((_let_8 (tptp.read _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (>= _let_8 100))) (let ((_let_10 (tptp.read _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (= _let_8 _let_10))) (let ((_let_12 (tptp.read _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.read _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (= _let_12 _let_15))) (let ((_let_17 (= _let_10 _let_13))) (let ((_let_18 (>= _let_15 100))) (let ((_let_19 (not _let_9))) (let ((_let_20 (forall ((W Int)) (not (>= (tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W) 100))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (forall ((V tptp.array) (BOUND_VARIABLE_651 Int)) (or (not (forall ((W Int)) (not (>= (tptp.read V W) 100)))) (not (>= (tptp.read (tptp.write (tptp.write (tptp.write (tptp.write V 3 33) 4 444) 5 55) 4 44) BOUND_VARIABLE_651) 100)))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (REFL :args (_let_22)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_9))) :args _let_26)) :args ((or _let_9 _let_22))) _let_28 :args (_let_9 true _let_22)))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4))) (let ((_let_32 (or _let_31 _let_11))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.read (tptp.write X Y X1) Z)))) (let ((_let_36 (tptp.read _let_7 4))) (let ((_let_37 (= _let_36 44))) (let ((_let_38 (forall ((U tptp.array) (V Int) (W Int)) (= W (tptp.read (tptp.write U V W) V))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.write U V W)))) (let ((_let_42 (= 44 _let_8))) (let ((_let_43 (= _let_8 44))) (let ((_let_44 (_let_43))) (let ((_let_45 (false))) (let ((_let_46 (1.0 (- 1.0)))) (let ((_let_47 (ASSUME :args (_let_9)))) (let ((_let_48 (= 44 _let_36))) (let ((_let_49 (= 4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (APPLY_UF tptp.read))) (let ((_let_51 (_let_37))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_31))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO (MODUS_PONENS _let_54 (SCOPE (SYMM _let_54) :args _let_53)) (MODUS_PONENS _let_52 (SCOPE (SYMM _let_52) :args _let_51))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_48)))) (CONG (REFL :args (_let_7)) (SYMM (SYMM (ASSUME :args (_let_49)))) :args _let_50)) :args (_let_49 _let_48))) _let_47) :args (_let_9 _let_37 _let_31)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_42)) :args _let_44) :args _let_44) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_44) _let_47 :args _let_46) :args _let_45) :args _let_44) :args ((not _let_43)))) :args (_let_42 _let_9)) :args ((not (and _let_9 _let_37 _let_31)) SB_LITERAL))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_6 4 44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40))) _let_39 :args (_let_37 false _let_38)) _let_30 :args ((not _let_31) false _let_37 false _let_9)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_11 _let_31 (not _let_32)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_6 4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 44 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_32 false _let_2)) :args (_let_11 true _let_31 false _let_32)))) (let ((_let_57 (or _let_31 _let_14))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_31 _let_14 (not _let_57)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_4 4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 444 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_57 false _let_2)) :args (_let_14 true _let_31 false _let_57)))) (let ((_let_59 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_60 (or _let_59 _let_16))) (let ((_let_61 (tptp.read _let_4 3))) (let ((_let_62 (= _let_61 33))) (let ((_let_63 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 5))) (let ((_let_64 (or _let_63 _let_17))) (let ((_let_65 (= 33 _let_8))) (let ((_let_66 (= _let_8 33))) (let ((_let_67 (_let_66))) (let ((_let_68 (= 33 _let_61))) (let ((_let_69 (= 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_70 (= _let_8 _let_13))) (let ((_let_71 (ASSUME :args (_let_14)))) (let ((_let_72 (_let_62))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_59))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (ASSUME :args (_let_17)))) (let ((_let_78 (ASSUME :args (_let_11)))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_5 5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 55 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_64 false _let_2)))) (let ((_let_81 (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_17 _let_63 (not _let_64)))))) (let ((_let_82 (tptp.read _let_6 5))) (let ((_let_83 (= _let_82 55))) (let ((_let_84 (= 55 _let_8))) (let ((_let_85 (= _let_8 55))) (let ((_let_86 (_let_85))) (let ((_let_87 (= 55 _let_82))) (let ((_let_88 (= 5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (_let_83))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_63))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (not _let_18))) (let ((_let_94 (_let_20))) (let ((_let_95 (< _let_15 100))) (let ((_let_96 (_let_95))) (let ((_let_97 (ASSUME :args (_let_16)))) (let ((_let_98 (ASSUME :args (_let_93)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 _let_97 _let_77 _let_78 _let_47 _let_98) :args (_let_9 _let_11 _let_17 _let_14 _let_16 _let_93)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_98 :args _let_96) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_96) _let_47 (MACRO_SR_PRED_TRANSFORM _let_78 :args ((= (+ _let_8 (* (- 1) _let_10)) 0))) (MACRO_SR_PRED_TRANSFORM _let_77 :args ((= (+ _let_10 (* (- 1) _let_13)) 0))) (MACRO_SR_PRED_TRANSFORM _let_97 :args ((= (+ _let_12 (* (- 1) _let_15)) 0))) (MACRO_SR_PRED_TRANSFORM _let_71 :args ((= (+ _let_13 (* (- 1) _let_12)) 0))) :args (1.0 (- 1.0) 1.0 1.0 1.0 1.0)) :args _let_45) :args _let_96) :args (_let_18)) :args ((not _let_95)))) :args (_let_14 _let_16 _let_17 _let_11 _let_9 _let_93)) :args ((not (and _let_9 _let_11 _let_17 _let_14 _let_16 _let_93)) SB_LITERAL))) (CONG (REFL :args (_let_19)) (REFL :args ((not _let_11))) (REFL :args ((not _let_17))) (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_18))) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.read SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W)))) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_26)) :args ((or _let_20 _let_22))) _let_28 :args (_let_20 true _let_22)) :args (_let_93 false _let_20)) (MACRO_RESOLUTION_TRUST _let_81 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_78 (MODUS_PONENS _let_92 (SCOPE (SYMM _let_92) :args _let_91)) (MODUS_PONENS _let_90 (SCOPE (SYMM _let_90) :args _let_89))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_87)))) (CONG (REFL :args (_let_6)) (SYMM (SYMM (ASSUME :args (_let_88)))) :args _let_50) _let_79) :args (_let_11 _let_88 _let_87))) _let_47) :args (_let_9 _let_83 _let_11 _let_63)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_84)) :args _let_86) :args _let_86) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_86) _let_47 :args _let_46) :args _let_45) :args _let_86) :args ((not _let_85)))) :args (_let_84 _let_9)) :args ((not (and _let_9 _let_83 _let_11 _let_63)) SB_LITERAL))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_5 5 55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40))) _let_39 :args (_let_83 false _let_38)) _let_30 :args ((not _let_63) false _let_11 false _let_83 false _let_9)) _let_80 :args (_let_17 true _let_63 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_16 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_75 (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_76) (REFL :args (5)) :args (=)) (MACRO_SR_PRED_INTRO :args ((= (= 3 5) false))))) :args _let_74)) :args _let_74)) _let_81 _let_80 (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_77 _let_78) (SCOPE (TRANS (SYMM _let_79) (SYMM (SYMM _let_77))) :args (_let_17 _let_11))) _let_71 (MODUS_PONENS _let_75 (SCOPE _let_76 :args _let_74)) (MODUS_PONENS _let_73 (SCOPE (SYMM _let_73) :args _let_72))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_68)))) (CONG (REFL :args (_let_4)) (SYMM (SYMM (ASSUME :args (_let_69)))) :args _let_50) (SYMM _let_71) (SYMM (ASSUME :args (_let_70)))) :args (_let_70 _let_14 _let_69 _let_68))) _let_47) :args (_let_9 _let_62 _let_11 _let_59 _let_17 _let_14)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_65)) :args _let_67) :args _let_67) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_67) _let_47 :args _let_46) :args _let_45) :args _let_67) :args ((not _let_66)))) :args (_let_65 _let_9)) :args ((not (and _let_9 _let_62 _let_11 _let_59 _let_17 _let_14)) SB_LITERAL))) _let_58 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40))) _let_39 :args (_let_62 false _let_38)) _let_30 :args ((not _let_59) false _let_63 false _let_64 true _let_17 false _let_14 false _let_11 false _let_62 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 33 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33))) _let_34 :args (_let_60 false _let_2)) :args (_let_16 true _let_59 false _let_60)) _let_58 _let_56 _let_30 :args (false true _let_18 false _let_17 false _let_16 false _let_14 false _let_11 false _let_9)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.36/15.56  )
% 15.36/15.56  % SZS output end Proof for DAT010_1
% 15.36/15.56  % cvc5---1.0.5 exiting
% 15.36/15.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------