TSTP Solution File: ARI575_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI575_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 17:31:20 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI575_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.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 18:43:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_ARI
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OWis0EKMKf/cvc5---1.0.5_10955.p...
% 0.22/0.54 ------- get file name : TPTP file name is ARI575_1
% 0.22/0.54 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10955.smt2...
% 0.22/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.22/0.54 % SZS status Theorem for ARI575_1
% 0.22/0.54 % SZS output start Proof for ARI575_1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (not (forall ((X Int) (Y Int) (Z Int)) (= (and (< 3 X) (< X Y) (< Y Z) (< (+ (+ X (* 2 Y)) (* 3 Z)) 35)) (and (= X 4) (= Y 5) (= Z 6))))))) (let ((_let_2 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4))) (let ((_let_3 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_4 (>= _let_3 0))) (let ((_let_5 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_6 (>= _let_5 0))) (let ((_let_7 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* 2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (* 3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_8 (>= _let_7 35))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4))) (let ((_let_10 (not _let_8))) (let ((_let_11 (not _let_6))) (let ((_let_12 (not _let_4))) (let ((_let_13 (and _let_2 _let_12 _let_11 _let_10))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 6))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 5))) (let ((_let_16 (and _let_9 _let_15 _let_14))) (let ((_let_17 (= _let_16 _let_13))) (let ((_let_18 (forall ((X Int) (Y Int) (Z Int)) (= (and (= X 4) (= Y 5) (= Z 6)) (and (>= X 4) (not (>= (+ X (* (- 1) Y)) 0)) (not (>= (+ Y (* (- 1) Z)) 0)) (not (>= (+ X (* 2 Y) (* 3 Z)) 35))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (_let_17))) (let ((_let_25 (not _let_16))) (let ((_let_26 (not _let_14))) (let ((_let_27 (not _let_15))) (let ((_let_28 (false))) (let ((_let_29 ((- 1.0) (- 1.0) 1.0))) (let ((_let_30 (ASSUME :args (_let_15)))) (let ((_let_31 (ASSUME :args (_let_14)))) (let ((_let_32 (_let_6))) (let ((_let_33 (not _let_9))) (let ((_let_34 (ASSUME :args (_let_9)))) (let ((_let_35 (_let_4))) (let ((_let_36 (_let_8))) (let ((_let_37 (not _let_2))) (let ((_let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_8))))) (let ((_let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_4))))) (let ((_let_41 (_let_37))) (let ((_let_42 (REFL :args _let_41))) (let ((_let_43 (_let_13))) (let ((_let_44 (_let_33))) (let ((_let_45 (REFL :args _let_44))) (let ((_let_46 (> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_47 (ASSUME :args _let_41))) (let ((_let_48 ((<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_47 _let_34) :args (_let_9 _let_37)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_48) _let_34 :args (1.0 (- 1.0))) :args _let_28) :args _let_48) :args (_let_46)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_47 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4)))) :args ((not _let_46)))) :args (_let_37 _let_9)) :args ((not (and _let_9 _let_37)) SB_LITERAL))) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_2))) :args _let_21)) :args ((or _let_2 _let_33))) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_43) (CONG (REFL :args _let_43) _let_42 _let_40 _let_39 _let_38 :args _let_21)) :args ((or _let_4 _let_6 _let_8 _let_13 _let_37))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_36) :args _let_36) _let_31 _let_30 _let_34 :args ((- 1.0) 3.0 2.0 1.0)) :args _let_28) :args (_let_14 _let_15 _let_9 _let_8))) :args ((or _let_26 _let_27 _let_33 _let_10))) :args ((or _let_10 _let_33 _let_27 _let_26))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_35) :args _let_35) _let_30 _let_34 :args _let_29) :args _let_28) :args (_let_15 _let_9 _let_4))) :args ((or _let_27 _let_33 _let_12))) :args ((or _let_12 _let_33 _let_27))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_32) :args _let_32) _let_31 _let_30 :args _let_29) :args _let_28) :args (_let_14 _let_15 _let_6))) :args ((or _let_26 _let_27 _let_11))) :args ((or _let_11 _let_27 _let_26))) (REORDERING (CNF_AND_POS :args (_let_16 2)) :args ((or _let_14 _let_25))) (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_15 _let_25))) (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_9 _let_25))) (REORDERING (CNF_EQUIV_NEG1 :args _let_24) :args ((or _let_16 _let_13 _let_17))) _let_23 :args (_let_13 true _let_2 true _let_8 true _let_4 true _let_6 false _let_14 false _let_15 false _let_9 false _let_16 true _let_17)))) (let ((_let_50 (not _let_13))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 _let_50))) _let_49 :args (_let_12 false _let_13)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 2)) :args ((or _let_11 _let_50))) _let_49 :args (_let_11 false _let_13)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 3)) :args ((or _let_10 _let_50))) _let_49 :args (_let_10 false _let_13)))) (let ((_let_54 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 7))) (let ((_let_55 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 6))) (let ((_let_56 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 6))) (let ((_let_57 (not _let_56))) (let ((_let_58 (1.0 1.0 (- 1.0)))) (let ((_let_59 (ASSUME :args (_let_11)))) (let ((_let_60 (MACRO_SR_PRED_TRANSFORM _let_59 :args ((< _let_5 0))))) (let ((_let_61 (INT_TIGHT_UB _let_60))) (let ((_let_62 (_let_57))) (let ((_let_63 (not _let_54))) (let ((_let_64 (< _let_7 35))) (let ((_let_65 (_let_64))) (let ((_let_66 (ASSUME :args (_let_10)))) (let ((_let_67 (MACRO_SR_PRED_TRANSFORM _let_66 :args _let_65))) (let ((_let_68 (_let_54))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 6))) (let ((_let_71 (_let_63))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_72 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 7)))))) (let ((_let_74 (ASSUME :args (_let_56)))) (let ((_let_75 (ASSUME :args (_let_26)))) (let ((_let_76 (<= _let_3 (- 1)))) (let ((_let_77 (_let_76))) (let ((_let_78 (< _let_3 0))) (let ((_let_79 (_let_78))) (let ((_let_80 (ASSUME :args (_let_12)))) (let ((_let_81 (MACRO_SR_PRED_TRANSFORM _let_80 :args _let_79))) (let ((_let_82 (INT_TIGHT_UB _let_81))) (let ((_let_83 (not _let_55))) (let ((_let_84 (_let_55))) (let ((_let_85 (ASSUME :args (_let_83)))) (let ((_let_86 (ASSUME :args (_let_27)))) (let ((_let_87 (ASSUME :args _let_44))) (let ((_let_88 (ASSUME :args (_let_2)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_87 _let_59 _let_80 _let_66) :args (_let_2 _let_12 _let_11 _let_10 _let_33)) (SCOPE (CONTRA _let_67 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_65) _let_82 _let_60 (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_88 _let_87 :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4)))) :args (1.0 5.0 3.0 (- 6.0))) :args _let_28) :args _let_65) :args _let_36) :args ((not _let_64)))) :args (_let_2 _let_33 _let_11 _let_12 _let_10)) :args ((not (and _let_2 _let_12 _let_11 _let_10 _let_33)) SB_LITERAL))) (CONG _let_42 _let_40 _let_39 _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_9))) :args _let_21)) :args ((or _let_9 _let_4 _let_6 _let_8 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_34 _let_86 _let_85 _let_80) :args (_let_9 _let_12 _let_27 _let_83)) (SCOPE (CONTRA _let_81 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_79) (INT_TIGHT_UB (ARITH_TRICHOTOMY _let_86 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_85 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 6)))) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 5)))) _let_34 :args _let_58) :args _let_28) :args _let_79) :args _let_35) :args ((not _let_78)))) :args (_let_9 _let_27 _let_83 _let_12)) :args ((not (and _let_9 _let_12 _let_27 _let_83)) SB_LITERAL))) (CONG _let_45 _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_55))) :args _let_21)) :args ((or _let_15 _let_4 _let_33 _let_55))) _let_51 (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_84) :args _let_84) _let_61 _let_73 :args ((- 1.0) 1.0 1.0)) :args _let_28) :args (_let_11 _let_63 _let_55))) :args ((or _let_6 _let_54 _let_83))) _let_52 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_34 _let_66 _let_69 _let_80) :args (_let_9 _let_12 _let_10 _let_54)) (SCOPE (CONTRA _let_82 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_77) _let_69 _let_67 _let_34 :args (1.0 (/ (- 3) 2) (/ 1 2) (/ (- 3) 2))) :args _let_28) :args _let_77) :args ((> _let_3 (- 1)))) :args ((not _let_76)))) :args (_let_9 _let_10 _let_54 _let_12)) :args ((not (and _let_9 _let_12 _let_10 _let_54)) SB_LITERAL))) (CONG _let_45 _let_40 _let_38 (REFL :args _let_71) :args _let_21)) :args ((or _let_4 _let_8 _let_33 _let_63))) _let_53 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_72 _let_75 _let_74) :args (_let_26 _let_56 _let_63)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_75 _let_74 :args (_let_70)) (MACRO_SR_PRED_TRANSFORM _let_73 :args ((not _let_70)))) :args (_let_63 _let_26 _let_56)) :args ((not (and _let_26 _let_56 _let_63)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_14))) (REFL :args _let_62) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_54))) :args _let_21)) :args ((or _let_14 _let_54 _let_57))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM _let_69 :args _let_68) (INT_TIGHT_UB _let_67) _let_30 _let_34 :args ((- 3.0) 1.0 (- 2.0) (- 1.0))) :args _let_28) :args (_let_10 _let_15 _let_9 _let_54))) :args ((or _let_8 _let_27 _let_33 _let_63))) :args ((or _let_8 _let_33 _let_27 _let_63))) _let_53 (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_62) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 6))) _let_61 _let_30 :args _let_58) :args _let_28) :args (_let_11 _let_15 _let_57))) :args ((or _let_6 _let_27 _let_56))) _let_52 (CNF_AND_NEG :args (_let_16)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_24) _let_23 _let_49 :args (_let_25 true _let_17 false _let_13)) :args ((or _let_33 _let_27) true _let_54 true _let_8 false _let_56 true _let_6 true _let_14 true _let_16)) :args (_let_33 true _let_4 true _let_55 true _let_6 true _let_54 true _let_8 true _let_4 true _let_15)) _let_53 _let_52 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_2 _let_50))) _let_49 :args (_let_2 false _let_13)) :args (false true _let_9 true _let_8 true _let_6 true _let_4 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for ARI575_1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------