%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 18:06:12 EDT 2023

% Result   : Unsatisfiable 1.36s 1.54s
% Output   : Proof 1.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 08:22:38 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qIXjpcAZMw/cvc5---1.0.5_18416.p...
% 0.22/0.50  ------- get file name : TPTP file name is BOO004-1
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18416.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.36/1.54  % SZS status Unsatisfiable for BOO004-1
% 1.36/1.54  % SZS output start Proof for BOO004-1
% 1.36/1.54  (
% 1.36/1.54  (let ((_let_1 (tptp.sum tptp.x tptp.x tptp.x))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_4 (forall ((X $$unsorted)) (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity)))) (let ((_let_5 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.sum V3 X V4)) (tptp.product V1 V2 V4))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.product X tptp.multiplicative_identity X)))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.product tptp.multiplicative_identity X X)))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_12 (tptp.product tptp.x tptp.multiplicative_identity tptp.x))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.inverse tptp.additive_identity))) (let ((_let_15 (tptp.sum tptp.multiplicative_identity _let_14 tptp.multiplicative_identity))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.product tptp.x _let_14 tptp.x))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_13 _let_18 _let_16 _let_13 _let_1))) (let ((_let_20 (_let_7))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (= tptp.multiplicative_identity _let_14))) (let ((_let_24 (_let_8))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.x QUANTIFIERS_INST_ENUM)) :args _let_24)) _let_25 :args (_let_12 false _let_8)))) (let ((_let_27 (tptp.sum tptp.additive_identity _let_14 _let_14))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.sum tptp.additive_identity _let_14 tptp.multiplicative_identity))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_23))) (let ((_let_32 (_let_3))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_10))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X X) true))))) :args _let_34)) _let_35 :args (_let_27 false _let_10)))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args _let_37)) _let_38 :args (_let_29 false _let_4)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_23 (not _let_31)))) _let_40 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.additive_identity _let_14 tptp.multiplicative_identity _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X Y V) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_3)) :args (_let_23 false _let_29 false _let_27 false _let_31)))) (let ((_let_42 (and _let_23 _let_12))) (let ((_let_43 (ASSUME :args (_let_12)))) (let ((_let_44 (REFL :args (tptp.x)))) (let ((_let_45 (ASSUME :args (_let_23)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_48 (tptp.product tptp.multiplicative_identity _let_47 tptp.multiplicative_identity))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.sum tptp.multiplicative_identity tptp.multiplicative_identity _let_47))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity _let_14))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53 _let_51 _let_49 _let_15))) (let ((_let_57 ((not (= (tptp.sum V1 V2 V4) true)) (not (= (tptp.product X V3 V4) false)) (not (= (tptp.sum Y Z V3) false))))) (let ((_let_58 (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.sum tptp.multiplicative_identity _let_14 _let_47))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_30 _let_61 _let_59 _let_30 _let_48))) (let ((_let_63 (_let_5))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (_let_11))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_65)) _let_66 :args (_let_50 false _let_11)))) (let ((_let_68 (and _let_23 _let_50))) (let ((_let_69 (ASSUME :args (_let_50)))) (let ((_let_70 (tptp.product tptp.multiplicative_identity _let_14 _let_14))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71 _let_30 _let_28 _let_52))) (let ((_let_75 (_let_6))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (_let_9))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((not (= (tptp.product tptp.multiplicative_identity X X) true))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.x tptp.multiplicative_identity tptp.x _let_14 tptp.x tptp.multiplicative_identity tptp.x QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_19))) :args ((or _let_1 _let_16 _let_13 _let_18 _let_22))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_53 _let_15 _let_51 _let_49 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_54 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_30 _let_71 _let_28 _let_52 (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_39) :args _let_77)) _let_78 :args (_let_72 false _let_9)) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_77)) _let_78 :args (_let_70 false _let_9)) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity _let_14 _let_14 tptp.multiplicative_identity _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum Y Z V3) false)) (not (= (tptp.product X Y V1) false)) (not (= (tptp.sum V1 V2 V4) false))))) :args _let_75)) _let_76 :args (_let_74 false _let_6)) :args (_let_52 false _let_72 false _let_29 false _let_70 false _let_27 false _let_74)) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_62))) :args ((or _let_59 _let_30 _let_61 _let_48 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_39) :args _let_24)) _let_25 :args (_let_58 false _let_8)) _let_40 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_45) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.multiplicative_identity)) _let_46 (REFL :args (_let_47)) :args (APPLY_UF tptp.sum)) (TRUE_INTRO _let_69))) :args (_let_50 _let_23))) :args (_let_23 _let_50))) :args (true _let_68)) _let_41 _let_67 :args (_let_60 false _let_23 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.additive_identity _let_14 tptp.multiplicative_identity tptp.multiplicative_identity _let_47 tptp.additive_identity tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum Y X V1) false)) (not (= (tptp.sum Z X V2) false)) (not (= (tptp.sum V3 X V4) false))))) :args _let_63)) _let_64 :args (_let_62 false _let_5)) :args (_let_48 false _let_58 false _let_29 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity _let_14 _let_47 tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_20)) _let_21 :args (_let_56 false _let_7)) :args (_let_15 false _let_54 false _let_52 false _let_50 false _let_48 false _let_56)) _let_26 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_43 _let_45) (SCOPE (TRUE_ELIM (TRANS (CONG _let_44 _let_46 _let_44 :args (APPLY_UF tptp.product)) (TRUE_INTRO _let_43))) :args (_let_12 _let_23))) :args (_let_23 _let_12))) :args (true _let_42)) _let_41 _let_26 :args (_let_17 false _let_23 false _let_12)) :args (_let_22 true _let_1 false _let_15 false _let_12 false _let_17)) _let_21 :args (false true _let_19 false _let_7)) :args (_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product Y X Z))) _let_10 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)) _let_9 _let_8 _let_7 _let_6 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))) (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.sum X V3 V4)) (tptp.product V1 V2 V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum X V3 V4))) _let_5 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum V3 X V4))) (forall ((X $$unsorted)) (tptp.sum (tptp.inverse X) X tptp.multiplicative_identity)) _let_4 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.additive_identity)) (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.additive_identity)) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.36/1.54  )
% 1.36/1.54  % SZS output end Proof for BOO004-1
% 1.36/1.55  % cvc5---1.0.5 exiting
% 1.36/1.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------