%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT332_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 22:11:09 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : DAT332_1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Thu Aug 24 14:59:57 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_ARI
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EYj6ie1JuC/cvc5---1.0.5_3449.p...
% 0.22/0.50  ------- get file name : TPTP file name is DAT332_1
% 0.22/0.50  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3449.smt2...
% 0.22/0.50  --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.22/0.58  % SZS status Unsatisfiable for DAT332_1
% 0.22/0.58  % SZS output start Proof for DAT332_1
% 0.22/0.59  (
% 0.22/0.59  (let ((_let_1 (tptp.sup tptp.s0))) (let ((_let_2 (tptp.sup tptp.s1))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (tptp.g tptp.i1))) (let ((_let_5 (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr _let_4))) (let ((_let_6 (tptp.insert tptp.s0 _let_5))) (let ((_let_7 (= tptp.s1 _let_6))) (let ((_let_8 (forall ((A__questionmark_i Int)) (> (tptp.g A__questionmark_i) 0)))) (let ((_let_9 (forall ((A__questionmark_i Int)) (=> (> A__questionmark_i 0) (< (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr A__questionmark_i) (tptp.sup tptp.s0)))))) (let ((_let_10 (forall ((A__questionmark_s |tptp.'Set'|) (A__questionmark_x Int)) (=> (tptp.member A__questionmark_x A__questionmark_s) (<= A__questionmark_x (tptp.sup A__questionmark_s)))))) (let ((_let_11 (forall ((A__questionmark_s |tptp.'Set'|)) (tptp.member (tptp.sup A__questionmark_s) A__questionmark_s)))) (let ((_let_12 (forall ((A__questionmark_x Int) (A__questionmark_y Int) (A__questionmark_s |tptp.'Set'|)) (=> (not (= A__questionmark_x A__questionmark_y)) (= (tptp.member A__questionmark_x (tptp.insert A__questionmark_s A__questionmark_y)) (tptp.member A__questionmark_x A__questionmark_s)))))) (let ((_let_13 (tptp.sup _let_6))) (let ((_let_14 (* (- 1) _let_13))) (let ((_let_15 (+ _let_5 _let_14))) (let ((_let_16 (>= _let_15 0))) (let ((_let_17 (= _let_5 _let_2))) (let ((_let_18 (_let_7))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (= _let_2 _let_13))) (let ((_let_21 (>= (+ _let_1 (* (- 1) _let_5)) 1))) (let ((_let_22 (* (- 1) _let_2))) (let ((_let_23 (+ _let_1 _let_22))) (let ((_let_24 (>= _let_23 0))) (let ((_let_25 (not _let_16))) (let ((_let_26 (= _let_13 _let_2))) (let ((_let_27 (_let_26))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (SYMM _let_28))) (let ((_let_30 (SYMM _let_19))) (let ((_let_31 (MODUS_PONENS _let_19 (SCOPE (CONG _let_30 :args (APPLY_UF tptp.sup)) :args _let_18)))) (let ((_let_32 (>= _let_4 1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_21))) (let ((_let_35 (forall ((A__questionmark_i Int)) (or (not (>= A__questionmark_i 1)) (not (>= (+ (|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr A__questionmark_i) (* (- 1) (tptp.sup tptp.s0))) 0)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((A__questionmark_i Int)) (>= (tptp.g A__questionmark_i) 1)))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_21 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.i1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g A__questionmark_i)))) :args (_let_37))) _let_38 :args (_let_32 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'select:(Array[Int,Int]*Int)>Int'| tptp.arr A__questionmark_i)))) :args (_let_35)))) _let_36 :args (_let_34 false _let_35)) :args (_let_21 false _let_32 false _let_34)))) (let ((_let_40 (>= _let_23 1))) (let ((_let_41 (= _let_1 _let_2))) (let ((_let_42 (not _let_24))) (let ((_let_43 (not _let_40))) (let ((_let_44 (tptp.member _let_1 tptp.s1))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((A__questionmark_s |tptp.'Set'|) (A__questionmark_x Int)) (or (not (tptp.member A__questionmark_x A__questionmark_s)) (not (>= (+ A__questionmark_x (* (- 1) (tptp.sup A__questionmark_s))) 1)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (tptp.member _let_1 _let_6))) (let ((_let_51 (tptp.member _let_1 tptp.s0))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (= _let_1 _let_5))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (forall ((A__questionmark_x Int) (A__questionmark_y Int) (A__questionmark_s |tptp.'Set'|)) (or (= A__questionmark_x A__questionmark_y) (= (tptp.member A__questionmark_x (tptp.insert A__questionmark_s A__questionmark_y)) (tptp.member A__questionmark_x A__questionmark_s)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((tptp.member A__questionmark_x (tptp.insert A__questionmark_s A__questionmark_y))))) (let ((_let_59 (_let_21))) (let ((_let_60 (_let_53))) (let ((_let_61 (false))) (let ((_let_62 (ASSUME :args _let_59))) (let ((_let_63 (_let_11))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.sup A__questionmark_s)))) (let ((_let_66 (not _let_7))) (let ((_let_67 (and _let_7 _let_50))) (let ((_let_68 (ASSUME :args (_let_50)))) (let ((_let_69 (APPLY_UF tptp.member))) (let ((_let_70 (SYMM (ASSUME :args (_let_3))))) (let ((_let_71 (or))) (let ((_let_72 (_let_42))) (let ((_let_73 (not _let_41))) (let ((_let_74 (and _let_73 _let_43))) (let ((_let_75 (_let_73 _let_43))) (let ((_let_76 ((< _let_23 0)))) (let ((_let_77 (ASSUME :args (_let_43)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_70 _let_77) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_70 :args ((not (= _let_23 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_77 :args ((< _let_23 1)))) :args _let_76) :args _let_72) :args _let_75)) :args _let_75)) :args (true _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_41))) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_40))) (REFL :args _let_72) :args _let_71)) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_43 _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_19) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_1)) (SYMM _let_30) :args _let_69) (TRUE_INTRO _let_68))) :args (_let_50 _let_7))) :args (_let_7 _let_50))) :args (true _let_67)) :args ((or _let_66 _let_44 (not _let_50)))) _let_19 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_52)) :args ((or (not _let_51) _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.s0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_51 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_62 (SCOPE (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_60) _let_62 :args (1 (- 1))) :args _let_61) :args _let_60) :args _let_59)) :args _let_59)) _let_39 :args ((not _let_53) false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_1 _let_5 tptp.s0 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57))) _let_56 :args (_let_54 false _let_55)) :args (_let_52 true _let_53 false _let_54)) :args (_let_50 false _let_51 false _let_52)) :args (_let_44 false _let_7 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s1 _let_1 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_43 false _let_44 false _let_46)) :args (_let_42 true _let_41 true _let_40)))) (let ((_let_79 (not _let_21))) (let ((_let_80 ((or (not _let_26) _let_24 _let_79 _let_25)))) (let ((_let_81 (_let_16))) (let ((_let_82 (tptp.member _let_2 tptp.s0))) (let ((_let_83 (tptp.member _let_2 _let_6))) (let ((_let_84 (= _let_83 _let_82))) (let ((_let_85 (or _let_17 _let_84))) (let ((_let_86 (not _let_84))) (let ((_let_87 (tptp.member _let_2 tptp.s1))) (let ((_let_88 (and _let_7 _let_87))) (let ((_let_89 (ASSUME :args (_let_87)))) (let ((_let_90 (not _let_82))) (let ((_let_91 (or _let_90 _let_24))) (let ((_let_92 (not _let_17))) (let ((_let_93 (_let_92))) (let ((_let_94 (= (+ _let_5 _let_22) 0))) (let ((_let_95 ((not _let_94)))) (let ((_let_96 (ASSUME :args (_let_17)))) (let ((_let_97 ((= _let_5 _let_13)))) (let ((_let_98 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_31 _let_98) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_5)) _let_29 :args (=)) (FALSE_INTRO (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_97) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_98 :args ((< _let_15 0)))) :args ((- 1) 1)) :args _let_61) :args _let_97)))) :args (_let_26 _let_25))) _let_96) :args (_let_7 _let_17 _let_25)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_96 :args (_let_94)) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_93) :args _let_95) :args _let_95)) :args (_let_92 _let_17)) :args ((not (and _let_7 _let_17 _let_25)) SB_LITERAL))) (CONG (REFL :args (_let_66)) (REFL :args _let_93) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_16))) :args _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_17 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_84)) :args ((or _let_82 (not _let_83) _let_86))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_24 _let_90 (not _let_91)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s0 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member A__questionmark_x A__questionmark_s) false))))) :args _let_49))) _let_48 :args (_let_91 false _let_47)) :args (_let_90 true _let_24 false _let_91)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_19) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_2)) _let_30 :args _let_69) (TRUE_INTRO _let_89))) :args (_let_87 _let_7))) :args (_let_7 _let_87))) :args (true _let_88)) _let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.s1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_87 false _let_11)) :args (_let_83 false _let_7 false _let_87)) :args (_let_86 true _let_82 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_2 _let_5 tptp.s0 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_57))) _let_56 :args (_let_85 false _let_55)) :args (_let_17 true _let_84 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_81) :args _let_81) (MACRO_SR_PRED_TRANSFORM _let_28 :args ((= (+ _let_2 _let_14) 0))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_72) :args _let_76)) _let_62 :args ((- 1.0) 1.0 1.0 (- 1.0))) :args _let_61) :args (_let_26 _let_42 _let_21 _let_16))) :args _let_80) (REWRITE :args _let_80)) :args ((or _let_24 _let_79 (not _let_20) _let_25))) _let_78 _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_31 (SCOPE _let_29 :args _let_27)) :args _let_18)) _let_19 :args (_let_20 false _let_7)) :args (_let_25 true _let_24 false _let_21 false _let_20)) _let_19 :args (false false _let_17 true _let_16 false _let_7)) :args ((forall ((A__questionmark_x Int) (A__questionmark_s |tptp.'Set'|)) (tptp.member A__questionmark_x (tptp.insert A__questionmark_s A__questionmark_x))) _let_12 (forall ((A__questionmark_x Int) (A__questionmark_s |tptp.'Set'|)) (=> (not (tptp.member A__questionmark_x A__questionmark_s)) (= (tptp.delete A__questionmark_s A__questionmark_x) A__questionmark_s))) (forall ((A__questionmark_x Int) (A__questionmark_s |tptp.'Set'|)) (= (tptp.delete (tptp.insert A__questionmark_s A__questionmark_x) A__questionmark_x) (tptp.delete A__questionmark_s A__questionmark_x))) (forall ((A__questionmark_x Int) (A__questionmark_y Int) (A__questionmark_s |tptp.'Set'|)) (=> (not (= A__questionmark_x A__questionmark_y)) (= (tptp.delete (tptp.insert A__questionmark_s A__questionmark_y) A__questionmark_x) (tptp.insert (tptp.delete A__questionmark_s A__questionmark_x) A__questionmark_y)))) _let_11 _let_10 (forall ((A__questionmark_s |tptp.'Set'|) (A__questionmark_x Int)) (=> (< (tptp.sup A__questionmark_s) A__questionmark_x) (= (tptp.sup (tptp.insert A__questionmark_s A__questionmark_x)) A__questionmark_x))) _let_9 _let_8 _let_7 _let_3 (forall ((A |tptp.'Array[Int,Int]'|) (I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) I) E)) (forall ((A |tptp.'Array[Int,Int]'|) (I Int) (J Int) (E Int)) (=> (not (= I J)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| A I E) J) (|tptp.'select:(Array[Int,Int]*Int)>Int'| A J)))) (forall ((A |tptp.'Array[Int,Int]'|) (B |tptp.'Array[Int,Int]'|)) (=> (forall ((I Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| A I) (|tptp.'select:(Array[Int,Int]*Int)>Int'| B I))) (= A B))) (forall ((I Int) (E Int)) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'const:(Int)>Array[Int,Int]'| E) I) E)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.59  )
% 0.41/0.59  % SZS output end Proof for DAT332_1
% 0.41/0.59  % cvc5---1.0.5 exiting
% 0.41/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------