TSTP Solution File: HEN009-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 01:54:37 EDT 2023

% Result   : Unsatisfiable 0.23s 0.84s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n019.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Thu Aug 24 13:30:43 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MXwO9MYqkv/cvc5---1.0.5_8480.p...
% 0.23/0.52  ------- get file name : TPTP file name is HEN009-4
% 0.23/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8480.smt2...
% 0.23/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.84  % SZS status Unsatisfiable for HEN009-4
% 0.23/0.84  % SZS output start Proof for HEN009-4
% 0.23/0.84  (
% 0.23/0.84  (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide tptp.identity _let_2))) (let ((_let_4 (= _let_1 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide X Z) (tptp.divide Y Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide Z Y) (tptp.divide Z X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal (tptp.divide X Y) Z)) (tptp.less_equal (tptp.divide X Z) Y))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_12 (tptp.less_equal _let_1 _let_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.less_equal _let_3 _let_1))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_4))) (let ((_let_17 (_let_10))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.less_equal _let_2 tptp.a))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_12))) (let ((_let_23 (_let_7))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.less_equal _let_1 _let_1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_20))) (let ((_let_28 (_let_8))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (tptp.less_equal (tptp.divide X Y) Z) false))))) (let ((_let_31 (tptp.less_equal tptp.identity tptp.identity))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_25))) (let ((_let_34 (_let_6))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.divide X Z) (tptp.divide Y Z)))) (let ((_let_37 (= tptp.zero (tptp.divide tptp.identity tptp.identity)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_31))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X tptp.identity))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_31 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X tptp.identity) tptp.zero))))) :args (_let_42))) _let_43 :args (_let_37 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divide X Y)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_31 false _let_37 false _let_39)))) (let ((_let_45 (tptp.less_equal _let_2 _let_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_14))) (let ((_let_48 (or _let_32 _let_45))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_4 _let_15 _let_13 _let_19))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_14 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_32 _let_45 (not _let_48)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.identity tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_48 false _let_6)) :args (_let_45 false _let_31 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_47 false _let_8)) :args (_let_14 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_12 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_20 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_25 (not _let_33)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_33 false _let_6)) :args (_let_25 false _let_31 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.identity tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_8)) :args (_let_20 false _let_25 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_2 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.divide Z X) (tptp.divide Z Y)))) :args _let_23)) _let_24 :args (_let_22 false _let_7)) :args (_let_12 false _let_20 false _let_22)) :args (_let_19 true _let_4 false _let_14 false _let_12)) _let_18 :args (false true _let_16 false _let_10)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))) _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)) (forall ((X $$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))) (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_10 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_9 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)) (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)) (= (tptp.divide tptp.a tptp.zero) tptp.a) (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_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.84  )
% 0.23/0.84  % SZS output end Proof for HEN009-4
% 0.23/0.84  % cvc5---1.0.5 exiting
% 0.23/0.85  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------