TSTP Solution File: HEN009-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN009-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 0.21s 0.56s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HEN009-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 13:33:37 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bQwOTgyTvk/cvc5---1.0.5_7950.p...
% 0.21/0.50  ------- get file name : TPTP file name is HEN009-2
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7950.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56  % SZS status Unsatisfiable for HEN009-2
% 0.21/0.56  % SZS output start Proof for HEN009-2
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (= tptp.idQa tptp.idQ__idQ_idQa))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.quotient tptp.identity tptp.idQ_idQa tptp.idQ__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)) (tptp.less_equal X tptp.identity)))) (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 (tptp.less_equal tptp.idQ__idQ_idQa tptp.idQa))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.less_equal tptp.idQa tptp.idQ__idQ_idQa))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_1))) (let ((_let_16 (_let_10))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (not _let_3))) (let ((_let_20 (not _let_5))) (let ((_let_21 (tptp.less_equal tptp.idQ_idQa tptp.a))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19 _let_13))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_4))) (let ((_let_27 (tptp.less_equal tptp.idQa tptp.idQa))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_20 _let_28 _let_26 _let_21))) (let ((_let_30 (_let_8))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((not (= (tptp.quotient X Y W1) false)) (not (= (tptp.quotient X Z W2) false))))) (let ((_let_33 (tptp.less_equal tptp.identity tptp.identity))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_20 _let_20 _let_27))) (let ((_let_36 (_let_6))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.quotient X Z W1) false)) (not (= (tptp.quotient Y Z W2) false))))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X tptp.identity) true))))) :args _let_39)) _let_40 :args (_let_33 false _let_9)))) (let ((_let_42 (ASSUME :args (_let_5)))) (let ((_let_43 (ASSUME :args (_let_4)))) (let ((_let_44 (ASSUME :args (_let_3)))) (let ((_let_45 (tptp.less_equal tptp.idQ_idQa tptp.idQ_idQa))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_26 _let_46 _let_19 _let_11))) (let ((_let_48 (or _let_34 _let_26 _let_26 _let_45))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.idQa tptp.idQ__idQ_idQa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) false))))) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_1 _let_12 _let_14 _let_18))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_26 _let_19 _let_46 _let_11 (not _let_47)))) _let_43 _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_48))) :args ((or _let_26 _let_45 _let_34 (not _let_48)))) _let_43 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.identity tptp.identity tptp.idQa tptp.idQ_idQa tptp.idQ_idQa QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_48 false _let_6)) :args (_let_45 false _let_4 false _let_33 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.identity tptp.idQa tptp.idQ_idQa tptp.idQ_idQa tptp.idQ__idQ_idQa QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_47 false _let_8)) :args (_let_11 false _let_4 false _let_3 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_19 _let_22 _let_13 (not _let_23)))) _let_42 _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_20 _let_26 _let_28 _let_21 (not _let_29)))) _let_42 _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_35))) :args ((or _let_20 _let_27 _let_34 (not _let_35)))) _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.identity tptp.identity tptp.a tptp.idQa tptp.idQa QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_6)) :args (_let_27 false _let_5 false _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.identity tptp.a tptp.idQa tptp.idQa tptp.idQ_idQa QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_30)) _let_31 :args (_let_29 false _let_8)) :args (_let_21 false _let_5 false _let_4 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.idQ_idQa tptp.a tptp.identity tptp.idQa tptp.idQ__idQ_idQa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.quotient Z Y W1) false)) (not (= (tptp.quotient Z X W2) false))))) :args _let_24)) _let_25 :args (_let_23 false _let_7)) :args (_let_13 false _let_5 false _let_3 false _let_21 false _let_23)) :args (_let_18 true _let_1 false _let_11 false _let_13)) _let_17 :args (false true _let_15 false _let_10)) :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))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.quotient X Y Z)) (tptp.less_equal Z X))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (V5 $$unsorted)) (or (not (tptp.quotient X Y V1)) (not (tptp.quotient Y Z V2)) (not (tptp.quotient X Z V3)) (not (tptp.quotient V3 V2 V4)) (not (tptp.quotient V1 Z V5)) (tptp.less_equal V4 V5))) (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.quotient X Y (tptp.divide X Y))) (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)) (forall ((X $$unsorted)) (tptp.quotient X X tptp.zero)) (forall ((X $$unsorted)) (tptp.quotient X tptp.zero X)) (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 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.57  % SZS output end Proof for HEN009-2
% 0.21/0.57  % cvc5---1.0.5 exiting
% 0.21/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------