%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN006-4 : 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 : Thu Aug 31 01:54:34 EDT 2023

% Result   : Unsatisfiable 0.19s 0.73s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HEN006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 13:50:34 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Q2OQ6vDpCN/cvc5---1.0.5_26323.p...
% 0.19/0.48  ------- get file name : TPTP file name is HEN006-4
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26323.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.73  % SZS status Unsatisfiable for HEN006-4
% 0.19/0.73  % SZS output start Proof for HEN006-4
% 0.19/0.73  (
% 0.19/0.73  (let ((_let_1 (tptp.divide tptp.a tptp.d))) (let ((_let_2 (tptp.less_equal _let_1 tptp.b))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.divide tptp.a tptp.b))) (let ((_let_5 (tptp.less_equal _let_4 tptp.d))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y Z)) (tptp.less_equal X Z))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_13 (tptp.divide tptp.b tptp.d))) (let ((_let_14 (tptp.less_equal _let_13 tptp.b))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.less_equal _let_1 _let_13))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_2))) (let ((_let_19 (_let_6))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (_let_10))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((tptp.divide X Y)))) (let ((_let_25 (tptp.divide _let_1 _let_13))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_16))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.divide _let_4 tptp.d))) (let ((_let_32 (= _let_31 _let_25))) (let ((_let_33 (= tptp.zero _let_31))) (let ((_let_34 (tptp.less_equal _let_31 _let_25))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.less_equal _let_25 _let_31))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35 _let_32))) (let ((_let_39 (_let_8))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.divide _let_25 _let_31))) (let ((_let_42 (tptp.less_equal _let_41 _let_25))) (let ((_let_43 (= tptp.zero _let_41))) (let ((_let_44 (= tptp.zero (tptp.divide tptp.zero tptp.zero)))) (let ((_let_45 (or _let_37 _let_43))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_50 (_let_9))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a tptp.d tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.divide (tptp.divide X Y) Z)))) :args _let_50)) _let_51 :args (_let_36 false _let_9)))) (let ((_let_53 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (not _let_5))) (let ((_let_56 (or _let_55 _let_33))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_33 (not _let_56)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_4 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_56 false _let_46)) :args (_let_33 false _let_5 false _let_56)))) (let ((_let_58 (not _let_33))) (let ((_let_59 (and _let_33 _let_44 _let_43 _let_42))) (let ((_let_60 (ASSUME :args (_let_42)))) (let ((_let_61 (ASSUME :args (_let_43)))) (let ((_let_62 (ASSUME :args (_let_44)))) (let ((_let_63 (ASSUME :args (_let_33)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (CONG _let_64 _let_64 :args (APPLY_UF tptp.divide)))) (let ((_let_66 (and _let_33 _let_32))) (let ((_let_67 (ASSUME :args (_let_32)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_1 _let_13 tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_equal X Y) false)) (not (= (tptp.less_equal Y Z) false))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_2 _let_17 _let_15 _let_21))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_16 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_63) (SCOPE (TRANS (SYMM _let_64) (SYMM (SYMM _let_67))) :args (_let_32 _let_33))) :args (_let_33 _let_32))) :args (true _let_66)) :args ((or _let_58 _let_26 (not _let_32)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 _let_32 (not _let_38)))) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_61 _let_62 _let_63) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_64 _let_62 (SYMM _let_65)) (TRANS _let_65 (SYMM _let_62) (SYMM (SYMM _let_61)))) (REFL :args (_let_25)) :args (APPLY_UF tptp.less_equal)) (TRUE_INTRO _let_60))) :args (_let_42 _let_43 _let_44 _let_33))) :args (_let_33 _let_44 _let_43 _let_42))) :args (true _let_59)) :args ((or _let_58 (not _let_44) _let_34 (not _let_43) (not _let_42)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide tptp.zero X) tptp.zero))))) :args (_let_53))) _let_54 :args (_let_44 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_37 _let_43 (not _let_45)))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_25 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_36 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_25 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_42 false _let_10)) :args (_let_34 false _let_33 false _let_44 false _let_43 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_25 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_39))) _let_40 :args (_let_38 false _let_8)) :args (_let_32 false _let_36 false _let_34 false _let_38)) :args (_let_26 false _let_33 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_1 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divide X Y)))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_16 false _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_14 false _let_10)) :args (_let_21 true _let_2 false _let_16 false _let_14)) _let_20 :args (false true _let_18 false _let_6)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_8 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_7 (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)) (= (tptp.divide tptp.a tptp.zero) tptp.a) _let_6 _let_5 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.73  )
% 0.19/0.73  % SZS output end Proof for HEN006-4
% 0.19/0.73  % cvc5---1.0.5 exiting
% 0.19/0.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------