%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Thu Aug 31 01:54:40 EDT 2023

% Result   : Unsatisfiable 2.68s 3.10s
% Output   : Proof 2.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HEN012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Thu Aug 24 13:39:08 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.B9qxYVoDzx/cvc5---1.0.5_3709.p...
% 0.21/0.49  ------- get file name : TPTP file name is HEN012-1
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3709.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.68/3.10  % SZS status Unsatisfiable for HEN012-1
% 2.68/3.10  % SZS output start Proof for HEN012-1
% 2.68/3.10  (
% 2.68/3.10  (let ((_let_1 (tptp.less_equal tptp.x tptp.x))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.quotient X Y (tptp.divide X Y))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_5 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (V5 $$unsorted)) (or (not (tptp.quotient X Y V1)) (not (tptp.quotient Y Z V2)) (not (tptp.quotient X Z V3)) (not (tptp.quotient V3 V2 V4)) (not (tptp.quotient V1 Z V5)) (tptp.less_equal V4 V5))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.quotient X Y Z)) (tptp.less_equal Z X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.quotient X Y tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))))) (let ((_let_10 (tptp.quotient tptp.x tptp.x tptp.zero))) (let ((_let_11 (tptp.divide tptp.x tptp.x))) (let ((_let_12 (tptp.quotient tptp.x tptp.x _let_11))) (let ((_let_13 (= tptp.zero _let_11))) (let ((_let_14 (not _let_10))) (let ((_let_15 (or _let_14 _let_1))) (let ((_let_16 (_let_8))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 ((not (= (tptp.less_equal X Y) true))))) (let ((_let_19 (_let_3))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.x tptp.x QUANTIFIERS_INST_ENUM)) :args _let_19)) _let_20 :args (_let_12 false _let_3)))) (let ((_let_22 (tptp.less_equal _let_11 tptp.zero))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.less_equal tptp.zero _let_11))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_13))) (let ((_let_27 (_let_4))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_30 (tptp.quotient _let_11 tptp.zero tptp.zero))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_22))) (let ((_let_33 (tptp.divide _let_11 tptp.zero))) (let ((_let_34 (= tptp.zero _let_33))) (let ((_let_35 (tptp.quotient _let_11 tptp.zero _let_33))) (let ((_let_36 (tptp.less_equal _let_33 tptp.zero))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.less_equal tptp.zero _let_33))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_34))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.divide tptp.x tptp.zero))) (let ((_let_44 (tptp.quotient _let_43 tptp.x tptp.zero))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not _let_35))) (let ((_let_47 (not _let_12))) (let ((_let_48 (tptp.quotient tptp.zero tptp.x tptp.zero))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.quotient tptp.x tptp.zero _let_43))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49 _let_47 _let_46 _let_45 _let_36))) (let ((_let_53 (_let_6))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_11 tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_19)) _let_20 :args (_let_35 false _let_3)))) (let ((_let_56 (tptp.less_equal _let_43 tptp.x))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_44))) (let ((_let_59 (_let_9))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_62 (or _let_51 _let_56))) (let ((_let_63 (_let_7))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((not (= (tptp.quotient X Y Z) false))))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.x tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_19)) _let_20 :args (_let_50 false _let_3)))) (let ((_let_67 (tptp.less_equal tptp.zero tptp.x))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_48))) (let ((_let_70 (and _let_35 _let_34))) (let ((_let_71 (_let_35 _let_34))) (let ((_let_72 (ASSUME :args (_let_35)))) (let ((_let_73 (APPLY_UF tptp.quotient))) (let ((_let_74 (ASSUME :args (_let_34)))) (let ((_let_75 (tptp.quotient _let_11 tptp.x tptp.zero))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_24))) (let ((_let_78 (tptp.less_equal _let_11 tptp.x))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_75))) (let ((_let_81 (or _let_47 _let_78))) (let ((_let_82 (ASSUME :args (_let_14)))) (let ((_let_83 (ASSUME :args (_let_13)))) (let ((_let_84 (REFL :args (tptp.x)))) (let ((_let_85 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_82 _let_83 _let_85) :args (_let_14 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_85)) (CONG _let_84 _let_84 (SYMM _let_83) :args _let_73) (FALSE_INTRO _let_82))) :args (_let_14 _let_13 _let_12)) :args ((not (and _let_14 _let_12 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_10))) (REFL :args (_let_47)) (REFL :args ((not _let_13))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_13 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_24 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_79 _let_75 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_47 _let_78 (not _let_81)))) _let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.x tptp.x _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_81 false _let_7)) :args (_let_78 false _let_12 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_11 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_80 false _let_9)) :args (_let_75 false _let_78 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_11 tptp.x tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_77 false _let_7)) :args (_let_24 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_22 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_11)) (REFL :args (tptp.zero)) (SYMM (SYMM _let_74)) :args _let_73) (TRUE_INTRO _let_72))) :args _let_71)) :args _let_71)) :args (true _let_70)) :args ((or _let_30 _let_46 (not _let_34)))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_37 _let_39 _let_34 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_49 _let_51 _let_45 _let_47 _let_46 _let_36 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_48 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.x QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_42 :args (_let_67 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.zero tptp.x QUANTIFIERS_INST_ENUM)) :args _let_59)) _let_60 :args (_let_69 false _let_9)) :args (_let_48 false _let_67 false _let_69)) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_44 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_51 _let_56 (not _let_62)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.x tptp.zero _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_62 false _let_7)) :args (_let_56 false _let_50 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_43 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_58 false _let_9)) :args (_let_44 false _let_56 false _let_58)) _let_21 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.x tptp.zero _let_43 tptp.x tptp.zero _let_11 _let_33 tptp.zero QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient Y Z V2) false)) (not (= (tptp.quotient X Z V3) false)) (not (= (tptp.quotient V3 V2 V4) false)) (not (= (tptp.quotient V1 Z V5) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_6)) :args (_let_36 false _let_48 false _let_50 false _let_44 false _let_12 false _let_35 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal tptp.zero X) true))))) :args _let_41)) _let_42 :args (_let_38 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.zero _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_40 false _let_4)) :args (_let_34 false _let_36 false _let_38 false _let_40)) :args (_let_30 false _let_35 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_16)) _let_17 :args (_let_32 false _let_8)) :args (_let_22 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.zero _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27)) _let_28 :args (_let_26 false _let_4)) :args (_let_13 false _let_24 false _let_22 false _let_26)) _let_21 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_1 _let_14 (not _let_15)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.x tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_16)) _let_17 :args (_let_15 false _let_8)) :args (_let_14 true _let_1 false _let_15)) :args (false false _let_13 false _let_12 true _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.quotient X Y Z)) (not (tptp.quotient X Y W)) (= Z W))) _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.68/3.10  )
% 2.68/3.10  % SZS output end Proof for HEN012-1
% 2.68/3.11  % cvc5---1.0.5 exiting
% 2.68/3.11  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------