TSTP Solution File: ARI617_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI617_1 : TPTP v8.1.2. Released v5.1.0.
% 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 17:31:30 EDT 2023
% Result : Theorem 0.35s 0.57s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : ARI617_1 : TPTP v8.1.2. Released v5.1.0.
% 0.06/0.14 % 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 : Tue Aug 29 18:46:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 0.35/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Rxmi8EARfH/cvc5---1.0.5_4015.p...
% 0.35/0.57 ------- get file name : TPTP file name is ARI617_1
% 0.35/0.57 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4015.smt2...
% 0.35/0.57 --- Run --finite-model-find --decision=internal at 15...
% 0.35/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.57 % SZS status Theorem for ARI617_1
% 0.35/0.57 % SZS output start Proof for ARI617_1
% 0.35/0.57 (
% 0.35/0.57 (let ((_let_1 (forall ((X Int)) (= (tptp.f X) (tptp.g X))))) (let ((_let_2 (not (=> (and (forall ((X Int)) (let ((_let_1 (- X))) (let ((_let_2 (tptp.f X))) (and (<= X _let_2) (<= _let_1 _let_2) (or (<= _let_2 X) (<= _let_2 _let_1)))))) (forall ((X Int)) (let ((_let_1 (tptp.g X))) (and (<= 0 _let_1) (or (= _let_1 X) (= _let_1 (- X))))))) _let_1)))) (let ((_let_3 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (* (- 1) _let_4)))) (let ((_let_7 (>= _let_6 1))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_9 (>= _let_6 0))) (let ((_let_10 (not _let_5))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (or))) (let ((_let_13 (_let_10))) (let ((_let_14 (not _let_1))) (let ((_let_15 (_let_14))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_15)) :args _let_15)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_1))) (REFL :args _let_13) :args _let_12)) (NOT_IMPLIES_ELIM2 _let_11) :args (_let_10 true _let_1)))) (let ((_let_17 (forall ((BOUND_VARIABLE_621 Int)) (not (>= (+ BOUND_VARIABLE_621 (* (- 1) (tptp.f BOUND_VARIABLE_621))) 1))))) (let ((_let_18 (not _let_7))) (let ((_let_19 (NOT_IMPLIES_ELIM1 _let_11))) (let ((_let_20 (_let_17))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f BOUND_VARIABLE_621)))) :args _let_20)) (AND_ELIM _let_19 :args (0)) :args (_let_18 false _let_17)))) (let ((_let_22 (* (- 1) _let_3))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_24 (or _let_8 _let_23))) (let ((_let_25 (forall ((BOUND_VARIABLE_669 Int)) (let ((_let_1 (tptp.g BOUND_VARIABLE_669))) (or (= BOUND_VARIABLE_669 _let_1) (= BOUND_VARIABLE_669 (* (- 1) _let_1))))))) (let ((_let_26 (_let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g BOUND_VARIABLE_669)))) :args _let_26)) (AND_ELIM _let_19 :args (4)) :args (_let_24 false _let_25)))) (let ((_let_28 (+ _let_4 _let_22))) (let ((_let_29 (>= _let_28 1))) (let ((_let_30 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4))) (let ((_let_31 (>= _let_30 1))) (let ((_let_32 (>= _let_3 0))) (let ((_let_33 (not _let_31))) (let ((_let_34 (or _let_9 _let_33))) (let ((_let_35 (not _let_23))) (let ((_let_36 (>= _let_28 0))) (let ((_let_37 (>= _let_30 0))) (let ((_let_38 (not _let_8))) (let ((_let_39 (REFL :args (_let_38)))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_7))))) (let ((_let_41 (not _let_36))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_36))))) (let ((_let_43 (= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22) 0))) (let ((_let_44 ((not _let_43)))) (let ((_let_45 (_let_43))) (let ((_let_46 (false))) (let ((_let_47 (ASSUME :args (_let_18)))) (let ((_let_48 (MACRO_SR_PRED_TRANSFORM _let_47 :args ((< _let_6 1))))) (let ((_let_49 ((< _let_28 0)))) (let ((_let_50 (_let_41))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (MACRO_SR_PRED_TRANSFORM _let_51 :args _let_49))) (let ((_let_53 (ASSUME :args (_let_8)))) (let ((_let_54 (MACRO_SR_PRED_TRANSFORM _let_53 :args _let_45))) (let ((_let_55 (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_8 _let_23 (not _let_24)))))) (let ((_let_56 (forall ((BOUND_VARIABLE_630 Int)) (>= (+ BOUND_VARIABLE_630 (tptp.f BOUND_VARIABLE_630)) 0)))) (let ((_let_57 (_let_56))) (let ((_let_58 (_let_35))) (let ((_let_59 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_60 (= _let_59 0))) (let ((_let_61 ((not _let_60)))) (let ((_let_62 (_let_60))) (let ((_let_63 (ASSUME :args (_let_37)))) (let ((_let_64 (ASSUME :args (_let_23)))) (let ((_let_65 (MACRO_SR_PRED_TRANSFORM _let_64 :args _let_62))) (let ((_let_66 (not _let_29))) (let ((_let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_5))))) (let ((_let_68 (and _let_10 _let_66))) (let ((_let_69 (_let_10 _let_66))) (let ((_let_70 (ASSUME :args (_let_66)))) (let ((_let_71 (ASSUME :args _let_13))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_70) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_71 :args ((not (= _let_28 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_70 :args ((< _let_28 1)))) :args _let_49) :args _let_50) :args _let_69)) :args _let_69)) :args (true _let_68)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_29))) (REFL :args _let_50) :args _let_12)) _let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_51 _let_64) :args (_let_41 _let_37 _let_23)) (SCOPE (CONTRA _let_65 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_62) _let_52 _let_63 :args (1.0 1.0 (- 1.0))) :args _let_46) :args _let_62) :args _let_61) :args _let_61)) :args (_let_37 _let_41 _let_23)) :args ((not (and _let_41 _let_37 _let_23)) SB_LITERAL))) (CONG _let_42 (REFL :args ((not _let_37))) (REFL :args _let_58) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f BOUND_VARIABLE_630)))) :args _let_57)) (AND_ELIM _let_19 :args (1)) :args (_let_37 false _let_56)) _let_55 _let_27 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_51 _let_53) :args (_let_41 _let_18 _let_8)) (SCOPE (CONTRA _let_54 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_45) (INT_TIGHT_UB _let_52) _let_48 :args ((- 1.0) 1.0 1.0)) :args _let_46) :args _let_45) :args _let_44) :args _let_44)) :args (_let_18 _let_41 _let_8)) :args ((not (and _let_41 _let_18 _let_8)) SB_LITERAL))) (CONG _let_42 _let_40 _let_39 :args _let_12)) _let_21 :args (_let_36 false _let_37 false _let_23 false _let_24 true _let_8 true _let_7)) :args (_let_29 true _let_5 false _let_36)))) (let ((_let_73 (1.0 (- 1.0) (- 1.0)))) (let ((_let_74 (ASSUME :args (_let_29)))) (let ((_let_75 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_33)) :args ((< _let_30 1))))) (let ((_let_76 (forall ((BOUND_VARIABLE_663 Int)) (>= (tptp.g BOUND_VARIABLE_663) 0)))) (let ((_let_77 (_let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_77) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g BOUND_VARIABLE_663)))) :args _let_77)) (AND_ELIM _let_19 :args (3)) :args (_let_32 false _let_76)))) (let ((_let_79 (not _let_32))) (let ((_let_80 (not _let_9))) (let ((_let_81 (ASSUME :args (_let_32)))) (let ((_let_82 (_let_9))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (forall ((BOUND_VARIABLE_637 Int)) (let ((_let_1 (tptp.f BOUND_VARIABLE_637))) (or (>= (+ BOUND_VARIABLE_637 (* (- 1) _let_1)) 0) (not (>= (+ BOUND_VARIABLE_637 _let_1) 1))))))) (let ((_let_85 (_let_84))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_85) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f BOUND_VARIABLE_637)))) :args _let_85)) (AND_ELIM _let_19 :args (2)) :args (_let_34 false _let_84)))) (let ((_let_87 (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_9 _let_33 (not _let_34)))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 _let_86 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM _let_83 :args _let_82) _let_65 _let_74 _let_81 :args ((- 1.0) 1.0 (- 1.0) (- 2.0))) :args _let_46) :args (_let_23 _let_29 _let_32 _let_9))) :args ((or _let_35 _let_66 _let_79 _let_80))) :args ((or _let_66 _let_80 _let_79 _let_35))) _let_72 _let_78 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_75 _let_74 _let_65 :args _let_73) :args _let_46) :args (_let_29 _let_23 _let_33))) :args ((or _let_66 _let_35 _let_31))) :args ((or _let_66 _let_31 _let_35))) _let_72 :args (_let_35 false _let_34 true _let_9 false _let_29 false _let_32 false _let_31 false _let_29)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_55 _let_88 _let_27 :args (_let_8 true _let_23 false _let_24)))) (let ((_let_90 (>= _let_59 0))) (let ((_let_91 (not _let_90))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_53 _let_83 _let_47 _let_71) :args (_let_10 _let_18 _let_9 _let_8)) (MACRO_SR_PRED_TRANSFORM (SCOPE (TRANS (SYMM (FALSE_INTRO _let_71)) (TRUE_INTRO (TRANS (SYMM (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY _let_83 (INT_TIGHT_UB _let_48) :args ((= _let_6 0))) :args ((= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4)))) (SYMM (SYMM _let_53))))) :args (_let_8 _let_9 _let_18 _let_10)) :args ((not (and _let_8 _let_9 _let_18 _let_10)))) :args ((not (and _let_10 _let_18 _let_9 _let_8)) SB_LITERAL))) (CONG _let_67 _let_40 (REFL :args (_let_80)) _let_39 :args _let_12)) (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_75 _let_74 (INT_TIGHT_LB (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_58) :args _let_61) (ASSUME :args (_let_90)) :args ((> _let_59 0)))) :args _let_73) :args _let_46) :args (_let_29 _let_35 _let_90 _let_33))) :args ((or _let_66 _let_23 _let_91 _let_31))) :args ((or _let_66 _let_31 _let_23 _let_91))) _let_72 _let_88 (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_91)) :args ((< _let_59 0))) _let_81 _let_54 :args (1.0 (- 2.0) (- 1.0))) :args _let_46) :args (_let_32 _let_8 _let_91))) :args ((or _let_79 _let_38 _let_90))) _let_78 _let_89 :args (_let_90 false _let_32 false _let_8)) :args (_let_31 false _let_29 true _let_23 false _let_90)) _let_86 :args (_let_9 false _let_31 false _let_34)) _let_89 _let_21 _let_16 :args (false false _let_9 false _let_8 true _let_7 true _let_5)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.57 )
% 0.35/0.57 % SZS output end Proof for ARI617_1
% 0.35/0.57 % cvc5---1.0.5 exiting
% 0.35/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------