%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : DAT100_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 22:10:36 EDT 2023

% Result   : Theorem 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : DAT100_1 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.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   : Thu Aug 24 14:39:21 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_ARI
% 0.21/0.58  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FXrkhkSobY/cvc5---1.0.5_18206.p...
% 0.21/0.58  ------- get file name : TPTP file name is DAT100_1
% 0.21/0.58  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18206.smt2...
% 0.21/0.58  --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/0.58  % SZS status Theorem for DAT100_1
% 0.21/0.58  % SZS output start Proof for DAT100_1
% 0.21/0.58  (
% 0.21/0.58  (let ((_let_1 (tptp.cons 2 tptp.nil))) (let ((_let_2 (tptp.cons 5 _let_1))) (let ((_let_3 (tptp.cons 1 _let_2))) (let ((_let_4 (tptp.inRange 4 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= L tptp.nil) (exists ((K Int) (T tptp.list)) (and (= L (tptp.cons K T)) (<= 0 K) (< K N) (tptp.inRange N T)))))))) (let ((_let_8 (forall ((K Int) (L tptp.list)) (not (= (tptp.cons K L) tptp.nil))))) (let ((_let_9 (forall ((K Int) (L tptp.list)) (= (tptp.tail (tptp.cons K L)) L)))) (let ((_let_10 (forall ((K Int) (L tptp.list)) (= (tptp.head (tptp.cons K L)) K)))) (let ((_let_11 (tptp.head _let_2))) (let ((_let_12 (= _let_11 5))) (let ((_let_13 (= _let_2 (tptp.tail _let_3)))) (let ((_let_14 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (= _let_3 _let_14))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.tail _let_14)))) (let ((_let_17 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17))) (let ((_let_19 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 4))) (let ((_let_20 (tptp.head _let_17))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_20))) (let ((_let_22 (forall ((K Int) (L tptp.list)) (= K (tptp.head (tptp.cons K L)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((tptp.cons K L)))) (let ((_let_26 (forall ((K Int) (L tptp.list)) (= L (tptp.tail (tptp.cons K L)))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 ((tptp.cons K L)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_13 false _let_26)))) (let ((_let_31 (tptp.inRange 4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (not _let_31))) (let ((_let_33 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 4))) (let ((_let_34 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0)))) (let ((_let_35 (not _let_15))) (let ((_let_36 (or _let_35 _let_34 _let_33 _let_32))) (let ((_let_37 (forall ((K Int) (T tptp.list)) (or (not (= (tptp.cons K T) (tptp.cons 1 (tptp.cons 5 (tptp.cons 2 tptp.nil))))) (not (>= K 0)) (>= K 4) (not (tptp.inRange 4 T)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (= tptp.nil _let_3))) (let ((_let_41 (or _let_40 _let_39))) (let ((_let_42 (= _let_4 _let_41))) (let ((_let_43 (forall ((N Int) (L tptp.list)) (= (tptp.inRange N L) (or (= tptp.nil L) (not (forall ((K Int) (T tptp.list)) (or (not (= L (tptp.cons K T))) (not (>= K 0)) (not (>= (+ N (* (- 1) K)) 1)) (not (tptp.inRange N T)))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.inRange N L)))) (let ((_let_47 (forall ((K Int) (L tptp.list)) (not (= tptp.nil (tptp.cons K L)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.cons K L)))) (let ((_let_51 (or))) (let ((_let_52 (_let_39))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (REWRITE :args ((=> _let_39 (not (or (not (= _let_14 _let_3)) _let_34 _let_33 _let_32))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_38)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args ((not _let_40) false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_42)) :args ((or _let_5 _let_41 (not _let_42)))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_42 false _let_43)) :args (_let_41 false _let_4 false _let_42)) :args (_let_39 true _let_40 false _let_41)) :args (_let_38 true _let_37)))) (let ((_let_54 (REFL :args (_let_36)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_15))) :args _let_51)) :args ((or _let_15 _let_36))) _let_53 :args (_let_15 true _let_36)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_28)) _let_27 :args (_let_16 false _let_26)))) (let ((_let_57 (not (tptp.inRange 4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_58 (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 0)))) (let ((_let_59 (not _let_18))) (let ((_let_60 (or _let_59 _let_58 _let_19 _let_57))) (let ((_let_61 (forall ((K Int) (T tptp.list)) (or (not (= (tptp.cons K T) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (>= K 0)) (>= K 4) (not (tptp.inRange 4 T)))))) (let ((_let_62 (not _let_60))) (let ((_let_63 (not _let_61))) (let ((_let_64 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_65 (or _let_64 _let_63))) (let ((_let_66 (= _let_31 _let_65))) (let ((_let_67 (= tptp.nil _let_2))) (let ((_let_68 (not _let_64))) (let ((_let_69 (not _let_67))) (let ((_let_70 (not _let_16))) (let ((_let_71 (not _let_13))) (let ((_let_72 (REFL :args (_let_70)))) (let ((_let_73 (REFL :args (_let_35)))) (let ((_let_74 (REFL :args (_let_71)))) (let ((_let_75 (and _let_13 _let_69 _let_15 _let_16))) (let ((_let_76 (ASSUME :args (_let_69)))) (let ((_let_77 (ASSUME :args (_let_13)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (ASSUME :args (_let_15)))) (let ((_let_80 (CONG (SYMM _let_79) :args (APPLY_UF tptp.tail)))) (let ((_let_81 (ASSUME :args (_let_16)))) (let ((_let_82 (SYMM (SYMM _let_81)))) (let ((_let_83 (_let_63))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83) (REWRITE :args ((=> _let_63 (not (or (not (= _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_58 _let_19 _let_57))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_61))) (REFL :args (_let_62)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_77 _let_79 _let_81) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.nil)) (TRANS _let_82 _let_80 _let_78) :args (=)) (FALSE_INTRO _let_76))) :args (_let_69 _let_13 _let_15 _let_16))) :args (_let_13 _let_69 _let_15 _let_16))) :args (true _let_75)) (CONG _let_74 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_67))) _let_73 _let_72 (REFL :args (_let_68)) :args _let_51)) :args ((or _let_67 _let_71 _let_35 _let_70 _let_68))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (5 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_69 false _let_47)) _let_30 _let_55 _let_56 :args (_let_68 true _let_67 false _let_13 false _let_15 false _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or _let_32 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_51)) :args ((or _let_31 _let_36))) _let_53 :args (_let_31 true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_66 false _let_43)) :args (_let_65 false _let_31 false _let_66)) :args (_let_63 true _let_64 false _let_65)) :args (_let_62 true _let_61)))) (let ((_let_85 (not _let_19))) (let ((_let_86 (not _let_21))) (let ((_let_87 (not _let_12))) (let ((_let_88 (= 5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_89 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 5))) (let ((_let_90 (_let_89))) (let ((_let_91 (ASSUME :args (_let_85)))) (let ((_let_92 (= _let_20 5))) (let ((_let_93 (ASSUME :args (_let_21)))) (let ((_let_94 (= 5 _let_11))) (let ((_let_95 (ASSUME :args (_let_18)))) (let ((_let_96 (_let_12))) (let ((_let_97 (ASSUME :args _let_96))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_93 (MODUS_PONENS (AND_INTRO (MODUS_PONENS _let_97 (SCOPE (SYMM _let_97) :args _let_96)) _let_77 _let_79 _let_81 _let_95) (SCOPE (TRANS (CONG (TRANS (SYMM _let_95) _let_82 _let_80 _let_78) :args (APPLY_UF tptp.head)) (SYMM (ASSUME :args (_let_94)))) :args (_let_94 _let_13 _let_15 _let_16 _let_18)))) (SCOPE (TRANS (SYMM (ASSUME :args (_let_92))) (SYMM _let_93)) :args (_let_21 _let_92))) _let_91) :args (_let_12 _let_13 _let_15 _let_16 _let_18 _let_85 _let_21)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_88)) :args _let_90) :args _let_90) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_90) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_91 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 4)))) :args ((- 1.0) 1.0)) :args (false)) :args _let_90) :args ((not _let_89)))) :args (_let_88 _let_85)) :args ((not (and _let_12 _let_13 _let_15 _let_16 _let_18 _let_85 _let_21)) SB_LITERAL))) (CONG (REFL :args (_let_87)) _let_74 _let_73 _let_72 (REFL :args (_let_59)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_19))) (REFL :args (_let_86)) :args _let_51)) :args ((or _let_87 _let_71 _let_35 _let_70 _let_19 _let_59 _let_86))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_60 2)) _let_84 :args (_let_85 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_60 0)) (CONG (REFL :args (_let_60)) (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_18))) :args _let_51)) :args ((or _let_18 _let_60))) _let_84 :args (_let_18 true _let_60)) _let_56 _let_55 _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (5 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24))) _let_23 :args (_let_12 false _let_22)) :args (false false _let_21 true _let_19 false _let_18 false _let_16 false _let_15 false _let_13 false _let_12)) :args (_let_10 _let_9 (forall ((L tptp.list)) (or (= L tptp.nil) (= L (tptp.cons (tptp.head L) (tptp.tail L))))) _let_8 _let_7 _let_6 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for DAT100_1
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------