TSTP Solution File: DAT021_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 22:10:20 EDT 2023
% Result : Theorem 15.39s 15.63s
% Output : Proof 15.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT021_1 : TPTP v8.1.2. Released v5.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 14:41:54 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 15.39/15.63 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1mIuWp2u4v/cvc5---1.0.5_10899.p...
% 15.39/15.63 ------- get file name : TPTP file name is DAT021_1
% 15.39/15.63 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10899.smt2...
% 15.39/15.63 --- Run --finite-model-find --decision=internal at 15...
% 15.39/15.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.39/15.63 % SZS status Theorem for DAT021_1
% 15.39/15.63 % SZS output start Proof for DAT021_1
% 15.39/15.63 (
% 15.39/15.63 (let ((_let_1 (not (forall ((U tptp.collection) (V Int) (W Int)) (=> (and (= U (tptp.add 5 (tptp.add 3 (tptp.add 1 tptp.empty)))) (tptp.in V U) (tptp.in W U) (not (= V W))) (< (+ V W) 9)))))) (let ((_let_2 (forall ((Z Int) (X1 tptp.collection) (X2 Int)) (= (or (tptp.in Z X1) (= Z X2)) (tptp.in Z (tptp.add X2 X1)))))) (let ((_let_3 (forall ((U Int)) (not (tptp.in U tptp.empty))))) (let ((_let_4 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty))) (let ((_let_5 (_let_3))) (let ((_let_6 (ASSUME :args _let_5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 5))) (let ((_let_8 (tptp.add 1 tptp.empty))) (let ((_let_9 (tptp.add 3 _let_8))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_11 (or _let_10 _let_7))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (= _let_10 _let_14))) (let ((_let_16 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 6))) (let ((_let_17 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (>= _let_17 9))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 3))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 1))) (let ((_let_21 (or _let_4 _let_20))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (or _let_22 _let_19))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 5))) (let ((_let_28 (or _let_25 _let_27))) (let ((_let_29 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 6))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 1))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.empty))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (= _let_13 _let_32))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_35 (not _let_7))) (let ((_let_36 (not _let_18))) (let ((_let_37 (tptp.add 5 _let_9))) (let ((_let_38 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_34 _let_36))) (let ((_let_43 (not _let_34))) (let ((_let_44 (forall ((V Int) (W Int)) (let ((_let_1 (tptp.add 5 (tptp.add 3 (tptp.add 1 tptp.empty))))) (or (not (tptp.in V _let_1)) (not (tptp.in W _let_1)) (= V W) (not (>= (+ V W) 9))))))) (let ((_let_45 (not _let_42))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (_let_7))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (_let_27))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ASSUME :args (_let_43)))) (let ((_let_55 (= _let_40 _let_28))) (let ((_let_56 (_let_2))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.in Z (tptp.add X2 X1))))) (let ((_let_59 (REFL :args (_let_42)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_41 _let_28 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_47)) :args ((or _let_40 _let_42))) _let_49 :args (_let_40 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 5 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_55 false _let_2)) :args (_let_28 false _let_40 false _let_55)))) (let ((_let_61 (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_27 (not _let_28)))))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 3 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_26 false _let_2)))) (let ((_let_63 (REORDERING (CNF_EQUIV_POS1 :args (_let_26)) :args ((or (not _let_25) _let_24 (not _let_26)))))) (let ((_let_64 (not _let_16))) (let ((_let_65 (_let_64))) (let ((_let_66 ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 6)))) (let ((_let_67 (_let_16))) (let ((_let_68 (false))) (let ((_let_69 ((- 1.0) 1.0))) (let ((_let_70 (ASSUME :args _let_67))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 3)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_18))) :args _let_47)) :args ((or _let_18 _let_42))) _let_49 :args (_let_18 true _let_42)))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_16))))) (let ((_let_73 (_let_36))) (let ((_let_74 (REFL :args _let_73))) (let ((_let_75 ((< _let_17 9)))) (let ((_let_76 (_let_18))) (let ((_let_77 ((- 1.0) 1.0 1.0))) (let ((_let_78 (ASSUME :args (_let_19)))) (let ((_let_79 (ASSUME :args _let_65))) (let ((_let_80 (MACRO_SR_PRED_TRANSFORM _let_79 :args _let_66))) (let ((_let_81 (ASSUME :args _let_76))) (let ((_let_82 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_78 _let_79 _let_81) :args (_let_18 _let_64 _let_19)) (SCOPE (CONTRA _let_81 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_81 _let_80 _let_78 :args _let_77) :args _let_68) :args _let_76) :args _let_75) :args _let_73)) :args (_let_19 _let_64 _let_18)) :args ((not (and _let_18 _let_64 _let_19)) SB_LITERAL))) (CONG _let_74 _let_72 (REFL :args ((not _let_19))) :args _let_47)))) (let ((_let_83 (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_22 _let_19 (not _let_24)))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty 1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_23 false _let_2)))) (let ((_let_85 (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_22) _let_21 (not _let_23)))))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_4 _let_20 (not _let_21)))))) (let ((_let_87 (ASSUME :args (_let_20)))) (let ((_let_88 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_87 _let_79 _let_81) :args (_let_18 _let_64 _let_20)) (SCOPE (CONTRA _let_81 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_81 _let_80 _let_87 :args _let_77) :args _let_68) :args _let_76) :args _let_75) :args _let_73)) :args (_let_20 _let_64 _let_18)) :args ((not (and _let_18 _let_64 _let_20)) SB_LITERAL))) (CONG _let_74 _let_72 (REFL :args ((not _let_20))) :args _let_47)))) (let ((_let_89 (= _let_38 _let_11))) (let ((_let_90 (not _let_14))) (let ((_let_91 ((not _let_12)))) (let ((_let_92 (_let_12))) (let ((_let_93 (1.0 (- 1.0)))) (let ((_let_94 (ASSUME :args _let_92))) (let ((_let_95 ((not _let_30)))) (let ((_let_96 (_let_30))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_12 _let_90))))) (let ((_let_99 ((not (= (tptp.in U tptp.empty) false))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_6 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_5)) _let_6 :args ((not _let_31) false _let_3)))) (let ((_let_101 (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_30 (not _let_32)))))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.empty 1 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_33 false _let_2)))) (let ((_let_103 (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or (not _let_13) _let_32 (not _let_33)))))) (let ((_let_104 (not _let_29))) (let ((_let_105 (_let_104))) (let ((_let_106 ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 6)))) (let ((_let_107 (_let_29))) (let ((_let_108 (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_29))))) (let ((_let_109 (1.0 1.0 (- 1.0)))) (let ((_let_110 (ASSUME :args _let_105))) (let ((_let_111 (MACRO_SR_PRED_TRANSFORM _let_110 :args _let_106))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_6 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_110 _let_97) :args (_let_18 _let_30 _let_104)) (SCOPE (CONTRA _let_97 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_97 _let_111 _let_81 :args _let_109) :args _let_68) :args _let_96) :args _let_95) :args _let_95)) :args (_let_18 _let_104 _let_30)) :args ((not (and _let_18 _let_30 _let_104)) SB_LITERAL))) (CONG _let_74 (REFL :args _let_95) _let_108 :args _let_47)) _let_71 _let_101 _let_100 _let_103 _let_102 _let_98 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_110 _let_94) :args (_let_18 _let_12 _let_104)) (SCOPE (CONTRA _let_94 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_94 _let_111 _let_81 :args _let_109) :args _let_68) :args _let_92) :args _let_91) :args _let_91)) :args (_let_18 _let_104 _let_12)) :args ((not (and _let_18 _let_12 _let_104)) SB_LITERAL))) (CONG _let_74 (REFL :args _let_91) _let_108 :args _let_47)) _let_71 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_53 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_107) _let_53 :args _let_69) :args _let_68) :args _let_107) :args _let_106) :args _let_105) :args _let_52)) :args _let_52)) _let_61 _let_60 _let_63 _let_62 _let_83 _let_85 _let_84 _let_86 _let_88 _let_71 _let_82 _let_71 (MACRO_RESOLUTION_TRUST _let_103 _let_102 _let_101 _let_100 _let_98 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_70 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_97 _let_70 :args _let_93) :args _let_68) :args _let_96) :args _let_95) :args _let_67)) :args _let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_70 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_94 _let_70 :args _let_93) :args _let_68) :args _let_92) :args _let_91) :args _let_67)) :args _let_67)) :args ((or _let_64 _let_90) false _let_33 true _let_32 true _let_31 false _let_13 true _let_30 true _let_12)) (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or (not _let_10) _let_14 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 3 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_15 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_7 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_39 _let_11 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_59 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_47)) :args ((or _let_38 _let_42))) _let_49 :args (_let_38 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 5 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56))) _let_57 :args (_let_89 false _let_2)) :args (_let_11 false _let_38 false _let_89)) (MACRO_RESOLUTION_TRUST _let_88 _let_71 _let_86 _let_85 _let_84 _let_83 _let_82 _let_71 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_51 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_70 _let_51 :args _let_69) :args _let_68) :args _let_67) :args _let_66) :args _let_65) :args _let_50)) :args _let_50)) _let_63 _let_62 _let_61 _let_60 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_53 _let_51 _let_54) :args (_let_43 _let_27 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_54)) (TRUE_INTRO (TRANS (SYMM (SYMM _let_53)) (SYMM _let_51))))) :args (_let_27 _let_7 _let_43)) :args ((not (and _let_43 _let_27 _let_7)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_34))) (REFL :args ((not _let_27))) (REFL :args (_let_35)) :args _let_47)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_49 :args (_let_43 true _let_42)) :args ((or _let_35 _let_4) false _let_18 false _let_20 false _let_21 false _let_23 false _let_22 true _let_19 false _let_18 true _let_16 false _let_24 false _let_26 false _let_25 false _let_28 true _let_27 true _let_34)) :args (_let_4 false _let_18 false _let_30 true _let_31 false _let_32 false _let_33 false _let_13 true _let_12 false _let_18 true _let_29 false _let_27 false _let_28 true _let_25 false _let_26 true _let_24 true _let_22 false _let_23 true _let_21 true _let_20 false _let_18 true _let_19 false _let_18 true _let_16 false _let_14 false _let_15 false _let_10 false _let_11 true _let_7)) _let_6 :args (false false _let_4 false _let_3)) :args (_let_3 (forall ((V Int) (W tptp.collection)) (tptp.in V (tptp.add V W))) (forall ((X Int) (Y tptp.collection)) (not (tptp.in X (tptp.remove X Y)))) _let_2 (forall ((X3 Int) (X4 tptp.collection) (X5 Int)) (= (and (tptp.in X3 X4) (not (= X3 X5))) (tptp.in X3 (tptp.remove X5 X4)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.39/15.64 )
% 15.39/15.64 % SZS output end Proof for DAT021_1
% 15.39/15.64 % cvc5---1.0.5 exiting
% 15.39/15.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------