%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 01:54:38 EDT 2023

% Result   : Unsatisfiable 4.58s 4.94s
% Output   : Proof 4.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HEN010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n022.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 13:30:55 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.NAGVRuLa7M/cvc5---1.0.5_10864.p...
% 0.19/0.48  ------- get file name : TPTP file name is HEN010-2
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10864.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.58/4.94  % SZS status Unsatisfiable for HEN010-2
% 4.58/4.94  % SZS output start Proof for HEN010-2
% 4.58/4.94  (
% 4.58/4.94  (let ((_let_1 (= tptp.idQa tptp.idQa_Q__idQ_idQa))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.quotient tptp.idQa tptp.idQ_idQa tptp.idQa_Q__idQ_idQa))) (let ((_let_4 (tptp.quotient tptp.identity tptp.idQa tptp.idQ_idQa))) (let ((_let_5 (tptp.quotient tptp.identity tptp.a tptp.idQa))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.quotient X Z W1)) (not (tptp.quotient Y Z W2)) (tptp.less_equal W1 W2))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.quotient Z Y W1)) (not (tptp.quotient Z X W2)) (tptp.less_equal W1 W2))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (W1 $$unsorted) (Z $$unsorted) (W2 $$unsorted)) (or (not (tptp.quotient X Y W1)) (not (tptp.less_equal W1 Z)) (not (tptp.quotient X Z W2)) (tptp.less_equal W2 Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y Z)) (tptp.less_equal X Z))))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.quotient X tptp.zero X)))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.quotient X X tptp.zero)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.quotient X Y (tptp.divide X Y))))) (let ((_let_13 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (V5 $$unsorted)) (or (not (tptp.quotient X Y V1)) (not (tptp.quotient Y Z V2)) (not (tptp.quotient X Z V3)) (not (tptp.quotient V3 V2 V4)) (not (tptp.quotient V1 Z V5)) (tptp.less_equal V4 V5))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.quotient X Y Z)) (tptp.less_equal Z X))))) (let ((_let_17 (tptp.less_equal tptp.idQa tptp.idQa_Q__idQ_idQa))) (let ((_let_18 (tptp.divide tptp.idQa tptp.a))) (let ((_let_19 (tptp.less_equal _let_18 tptp.idQa_Q__idQ_idQa))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.less_equal tptp.idQa _let_18))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_17))) (let ((_let_24 (_let_9))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (not _let_3))) (let ((_let_28 (tptp.quotient tptp.idQa tptp.a _let_18))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.less_equal tptp.idQ_idQa tptp.a))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_19))) (let ((_let_33 (_let_7))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_12))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.idQa tptp.a QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_28 false _let_12)))) (let ((_let_38 (not _let_4))) (let ((_let_39 (tptp.less_equal tptp.idQa tptp.idQa))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_5))) (let ((_let_42 (or _let_41 _let_40 _let_38 _let_30))) (let ((_let_43 (_let_8))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.less_equal tptp.identity tptp.identity))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_41 _let_41 _let_39))) (let ((_let_48 (_let_6))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (_let_13))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (ASSUME :args (_let_5)))) (let ((_let_53 (ASSUME :args (_let_3)))) (let ((_let_54 (tptp.quotient tptp.idQa tptp.zero tptp.idQa))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.quotient tptp.a tptp.a tptp.zero))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_41 _let_57 _let_41 _let_55 _let_29 _let_21))) (let ((_let_59 (_let_15))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (_let_10))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (_let_11))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (not _let_17))) (let ((_let_66 (tptp.less_equal tptp.idQa_Q__idQ_idQa tptp.idQa))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_1))) (let ((_let_69 (_let_14))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (or _let_27 _let_66))) (let ((_let_72 (_let_16))) (let ((_let_73 (ASSUME :args _let_72))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.idQa _let_18 tptp.idQa_Q__idQ_idQa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_equal X Z) true)) (not (= (tptp.less_equal Y Z) false))))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_17 _let_22 _let_20 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_1 _let_67 _let_65 (not _let_68)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_27 _let_66 (not _let_71)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.idQa tptp.idQ_idQa tptp.idQa_Q__idQ_idQa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.quotient X Y Z) false))))) :args _let_72)) _let_73 :args (_let_71 false _let_16)) :args (_let_66 false _let_3 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.idQa_Q__idQ_idQa tptp.idQa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_69))) _let_70 :args (_let_68 false _let_14)) :args (_let_65 true _let_1 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_58))) :args ((or _let_41 _let_57 _let_55 _let_29 _let_21 (not _let_58)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.quotient X X tptp.zero) true))))) :args _let_63)) _let_64 :args (_let_56 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.idQa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.quotient X tptp.zero X) true))))) :args _let_61)) _let_62 :args (_let_54 false _let_10)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.identity tptp.a tptp.idQa tptp.a tptp.zero tptp.idQa tptp.idQa _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient V1 Z V5) false)) (not (= (tptp.quotient X Y V1) false)) (not (= (tptp.quotient V3 V2 V4) false))))) :args _let_59)) _let_60 :args (_let_58 false _let_15)) :args (_let_21 false _let_5 false _let_56 false _let_54 false _let_28 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_27 _let_31 _let_29 _let_19 (not _let_32)))) _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 _let_40 _let_30 (not _let_42)))) _let_52 (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_47))) :args ((or _let_41 _let_39 _let_46 (not _let_47)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X tptp.identity) true))))) :args _let_50)) _let_51 :args (_let_45 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.identity tptp.identity tptp.a tptp.idQa tptp.idQa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient X Z W1) false)) (not (= (tptp.quotient Y Z W2) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_6)) :args (_let_39 false _let_5 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.identity tptp.a tptp.idQa tptp.idQa tptp.idQ_idQa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient X Y W1) false)) (not (= (tptp.quotient X Z W2) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_8)) :args (_let_30 false _let_5 false _let_4 false _let_39 false _let_42)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.idQ_idQa tptp.a tptp.idQa _let_18 tptp.idQa_Q__idQ_idQa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient Z Y W1) false)) (not (= (tptp.quotient Z X W2) false))))) :args _let_33)) _let_34 :args (_let_32 false _let_7)) :args (_let_19 false _let_3 false _let_30 false _let_28 false _let_32)) :args (_let_26 true _let_17 false _let_21 false _let_19)) _let_25 :args (false true _let_23 false _let_9)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.quotient X Y tptp.zero)) (tptp.less_equal X Y))) _let_16 _let_15 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.quotient X Y Z)) (not (tptp.quotient X Y W)) (= Z W))) (forall ((X $$unsorted)) (tptp.quotient X tptp.identity tptp.zero)) (forall ((X $$unsorted)) (tptp.quotient tptp.zero X tptp.zero)) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted) (Y3 $$unsorted)) (or (not (tptp.quotient tptp.identity X Y1)) (not (tptp.quotient tptp.identity Y1 Y2)) (not (tptp.quotient tptp.identity Y2 Y3)) (= Y1 Y3))) _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.58/4.94  )
% 4.58/4.94  % SZS output end Proof for HEN010-2
% 4.58/4.94  % cvc5---1.0.5 exiting
% 4.58/4.95  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------