%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 01:54:30 EDT 2023

% Result   : Unsatisfiable 62.55s 62.87s
% Output   : Proof 62.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : HEN003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 12:55:39 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bS76NYufdy/cvc5---1.0.5_23670.p...
% 0.22/0.49  ------- get file name : TPTP file name is HEN003-1
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23670.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.33/10.64  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.36/15.66  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.40/20.69  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.64/25.95  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.65/30.97  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.66/35.99  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.74/41.02  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.97/46.25  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.99/51.26  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.95/56.28  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.00/61.30  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 62.55/62.87  % SZS status Unsatisfiable for HEN003-1
% 62.55/62.87  % SZS output start Proof for HEN003-1
% 62.55/62.87  (
% 62.55/62.87  (let ((_let_1 (tptp.quotient tptp.x tptp.x tptp.zero))) (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.divide tptp.x tptp.x))) (let ((_let_11 (tptp.divide _let_10 tptp.zero))) (let ((_let_12 (tptp.quotient _let_11 _let_10 tptp.zero))) (let ((_let_13 (tptp.less_equal _let_11 _let_10))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (_let_9))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (tptp.less_equal tptp.zero _let_11))) (let ((_let_20 (not _let_12))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (_let_7))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (= tptp.zero _let_11))) (let ((_let_25 (not _let_19))) (let ((_let_26 (tptp.less_equal _let_11 tptp.zero))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_24))) (let ((_let_29 (_let_4))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.divide tptp.x tptp.zero))) (let ((_let_32 (tptp.quotient _let_31 tptp.x tptp.zero))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.quotient _let_10 tptp.zero _let_11))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.quotient tptp.x tptp.x _let_10))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.quotient tptp.zero tptp.x tptp.zero))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.quotient tptp.x tptp.zero _let_31))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_37 _let_35 _let_33 _let_26))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_10 tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_46 :args (_let_34 false _let_3)))) (let ((_let_48 (tptp.less_equal _let_31 tptp.x))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_32))) (let ((_let_51 (or _let_41 _let_48))) (let ((_let_52 ((not (= (tptp.quotient X Y Z) false))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x tptp.zero QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_46 :args (_let_40 false _let_3)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.x tptp.x QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_45)) _let_46 :args (_let_36 false _let_3)))) (let ((_let_55 (tptp.less_equal tptp.zero tptp.x))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_38))) (let ((_let_58 (_let_5))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.quotient _let_10 tptp.zero tptp.zero))) (let ((_let_61 (not _let_24))) (let ((_let_62 (tptp.less_equal _let_10 tptp.zero))) (let ((_let_63 (not _let_60))) (let ((_let_64 (or _let_63 _let_62))) (let ((_let_65 (_let_8))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (= tptp.zero _let_10))) (let ((_let_68 (not _let_62))) (let ((_let_69 (tptp.less_equal tptp.zero _let_10))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_67))) (let ((_let_72 (not _let_67))) (let ((_let_73 (ASSUME :args (_let_2)))) (let ((_let_74 (or))) (let ((_let_75 (APPLY_UF tptp.quotient))) (let ((_let_76 (ASSUME :args (_let_67)))) (let ((_let_77 (REFL :args (tptp.x)))) (let ((_let_78 (ASSUME :args (_let_36)))) (let ((_let_79 (ASSUME :args (_let_63)))) (let ((_let_80 (ASSUME :args (_let_24)))) (let ((_let_81 (ASSUME :args (_let_34)))) (let ((_let_82 (or _let_35 _let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_35 _let_13 (not _let_82)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_10 tptp.zero _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_22)) _let_23 :args (_let_82 false _let_7)) :args (_let_13 false _let_34 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_19 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_24 _let_27 _let_25 (not _let_28)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_79 _let_80 _let_81) :args (_let_63 _let_34 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_81)) (CONG (REFL :args (_let_10)) (REFL :args (tptp.zero)) (SYMM _let_80) :args _let_75) (FALSE_INTRO _let_79))) :args (_let_63 _let_24 _let_34)) :args ((not (and _let_63 _let_34 _let_24)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_60))) (REFL :args (_let_35)) (REFL :args (_let_61)) :args _let_74)) _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_67 _let_68 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_73 _let_76 _let_78) :args (_let_2 _let_36 _let_67)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_78)) (CONG _let_77 _let_77 (SYMM _let_76) :args _let_75) (FALSE_INTRO _let_73))) :args (_let_2 _let_67 _let_36)) :args ((not (and _let_2 _let_36 _let_67)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_37)) (REFL :args (_let_72)) :args _let_74)) _let_54 _let_73 :args (_let_72 false _let_36 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal tptp.zero X) true))))) :args _let_58)) _let_59 :args (_let_69 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.zero _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_30 :args (_let_71 false _let_4)) :args (_let_68 true _let_67 false _let_69 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_10 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.quotient X Y tptp.zero) false))))) :args _let_65)) _let_66 :args (_let_64 false _let_8)) :args (_let_63 true _let_62 false _let_64)) :args (_let_61 false _let_34 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_39 _let_41 _let_37 _let_33 _let_35 _let_26 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_38 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_58)) _let_59 :args (_let_55 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.zero tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_16)) _let_17 :args (_let_57 false _let_9)) :args (_let_38 false _let_55 false _let_57)) _let_53 _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_32 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_41 _let_48 (not _let_51)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.x tptp.zero _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_22)) _let_23 :args (_let_51 false _let_7)) :args (_let_48 false _let_40 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_31 tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16)) _let_17 :args (_let_50 false _let_9)) :args (_let_32 false _let_48 false _let_50)) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.x tptp.zero _let_31 tptp.x tptp.zero _let_10 _let_11 tptp.zero QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient V3 V2 V4) false)) (not (= (tptp.quotient X Y V1) false)) (not (= (tptp.quotient V1 Z V5) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_6)) :args (_let_26 false _let_38 false _let_40 false _let_36 false _let_32 false _let_34 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_11 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_29))) _let_30 :args (_let_28 false _let_4)) :args (_let_25 true _let_24 false _let_26 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_11 _let_10 tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) _let_23 :args (_let_21 false _let_7)) :args (_let_20 true _let_19 false _let_21)) :args (_let_18 false _let_13 true _let_12)) _let_17 :args (false true _let_15 false _let_9)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 62.55/62.87  )
% 62.55/62.87  % SZS output end Proof for HEN003-1
% 62.55/62.87  % cvc5---1.0.5 exiting
% 62.55/62.88  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------