TSTP Solution File: PUZ005+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 13:12:50 EDT 2023

% Result   : Theorem 0.21s 0.59s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 22:11:53 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.59  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sDE8BcjyZq/cvc5---1.0.5_7147.p...
% 0.21/0.59  ------- get file name : TPTP file name is PUZ005+1
% 0.21/0.59  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7147.smt2...
% 0.21/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.59  % SZS status Theorem for PUZ005+1
% 0.21/0.59  % SZS output start Proof for PUZ005+1
% 0.21/0.59  (
% 0.21/0.59  (let ((_let_1 (not (exists ((X $$unsorted)) (let ((_let_1 (tptp.yesterday X))) (and (tptp.day X) (tptp.lies_on_one_of tptp.a_lion X _let_1) (tptp.lies_on_one_of tptp.a_unicorn X _let_1))))))) (let ((_let_2 (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (tptp.unicorn_lies X) (not (tptp.lies_on_one_of tptp.a_unicorn X Y))) (tptp.unicorn_lies Y)))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (not (tptp.lion_lies X)) (not (tptp.lies_on_one_of tptp.a_lion X Y))) (not (tptp.lion_lies Y))))))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.thursday X) (tptp.unicorn_lies X))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.wednesday X) (not (tptp.unicorn_lies X)))))) (let ((_let_6 (forall ((X $$unsorted)) (=> (tptp.thursday X) (not (tptp.lion_lies X)))))) (let ((_let_7 (forall ((X $$unsorted)) (=> (tptp.wednesday X) (tptp.lion_lies X))))) (let ((_let_8 (forall ((X $$unsorted)) (=> (tptp.thursday X) (tptp.wednesday (tptp.yesterday X)))))) (let ((_let_9 (forall ((X $$unsorted)) (=> (tptp.thursday X) (tptp.day X))))) (let ((_let_10 (forall ((X $$unsorted)) (=> (tptp.wednesday X) (tptp.day X))))) (let ((_let_11 (tptp.thursday tptp.a_thursday))) (let ((_let_12 (tptp.day tptp.a_thursday))) (let ((_let_13 (tptp.yesterday tptp.a_thursday))) (let ((_let_14 (tptp.lies_on_one_of tptp.a_unicorn tptp.a_thursday _let_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.lies_on_one_of tptp.a_lion tptp.a_thursday _let_13))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_12))) (let ((_let_19 (or _let_18 _let_17 _let_15))) (let ((_let_20 (not _let_11))) (let ((_let_21 (or _let_20 _let_12))) (let ((_let_22 (forall ((X $$unsorted)) (or (not (tptp.thursday X)) (tptp.day X))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (ASSUME :args (_let_11)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_12 (not _let_21)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.a_thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.thursday X) false))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_12 false _let_11 false _let_21)))) (let ((_let_26 (forall ((X $$unsorted)) (let ((_let_1 (tptp.yesterday X))) (or (not (tptp.day X)) (not (tptp.lies_on_one_of tptp.a_lion X _let_1)) (not (tptp.lies_on_one_of tptp.a_unicorn X _let_1))))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (tptp.lion_lies _let_13))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.day _let_13))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.lion_lies tptp.a_thursday))) (let ((_let_33 (or _let_18 _let_32 _let_31 _let_16 _let_29))) (let ((_let_34 (forall ((X $$unsorted) (BOUND_VARIABLE_1134 $$unsorted)) (or (not (tptp.day X)) (tptp.lion_lies X) (not (tptp.day BOUND_VARIABLE_1134)) (tptp.lies_on_one_of tptp.a_lion X BOUND_VARIABLE_1134) (not (tptp.lion_lies BOUND_VARIABLE_1134)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.wednesday _let_13))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_28))) (let ((_let_39 (forall ((X $$unsorted)) (or (not (tptp.wednesday X)) (tptp.lion_lies X))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or _let_20 _let_36))) (let ((_let_42 (forall ((X $$unsorted)) (or (not (tptp.thursday X)) (tptp.wednesday (tptp.yesterday X)))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_20 _let_36 (not _let_41)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a_thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.thursday X) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_36 false _let_11 false _let_41)))) (let ((_let_45 (or _let_37 _let_30))) (let ((_let_46 (forall ((X $$unsorted)) (or (not (tptp.wednesday X)) (tptp.day X))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_37 _let_30 (not _let_45)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wednesday X) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_30 false _let_36 false _let_45)))) (let ((_let_49 (not _let_32))) (let ((_let_50 (or _let_20 _let_49))) (let ((_let_51 (forall ((X $$unsorted)) (or (not (tptp.thursday X)) (not (tptp.lion_lies X)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (tptp.unicorn_lies _let_13))) (let ((_let_54 (tptp.unicorn_lies tptp.a_thursday))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_18 _let_55 _let_31 _let_14 _let_53))) (let ((_let_57 (forall ((X $$unsorted) (BOUND_VARIABLE_1279 $$unsorted)) (or (not (tptp.day X)) (not (tptp.unicorn_lies X)) (not (tptp.day BOUND_VARIABLE_1279)) (tptp.lies_on_one_of tptp.a_unicorn X BOUND_VARIABLE_1279) (tptp.unicorn_lies BOUND_VARIABLE_1279))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (not _let_53))) (let ((_let_60 (or _let_37 _let_59))) (let ((_let_61 (forall ((X $$unsorted)) (or (not (tptp.wednesday X)) (not (tptp.unicorn_lies X)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (or _let_20 _let_54))) (let ((_let_64 (forall ((X $$unsorted)) (or (not (tptp.thursday X)) (tptp.unicorn_lies X))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_17 _let_15 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_18 _let_55 _let_53 _let_14 _let_31 (not _let_56)))) _let_25 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_20 _let_54 (not _let_63)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a_thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.thursday X) false))))) :args (_let_64))) _let_65 :args (_let_63 false _let_64)) :args (_let_54 false _let_11 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_37 _let_59 (not _let_60)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wednesday X) false))))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_59 false _let_36 false _let_60)) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a_thursday _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.lies_on_one_of tptp.a_unicorn X BOUND_VARIABLE_1279) true))))) :args (_let_57))) _let_58 :args (_let_56 false _let_57)) :args (_let_14 false _let_12 false _let_54 true _let_53 false _let_30 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_18 _let_16 _let_31 _let_29 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_20 _let_49 (not _let_50)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a_thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.thursday X) false))))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_49 false _let_11 false _let_50)) _let_25 _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_28 (not _let_38)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.wednesday X) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_28 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a_thursday _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.lies_on_one_of tptp.a_lion X BOUND_VARIABLE_1134) true))))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_16 true _let_32 false _let_12 false _let_30 false _let_28 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.a_thursday QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.day X) false))))) :args (_let_26))) _let_27 :args (_let_19 false _let_26)) _let_25 :args (false false _let_14 false _let_16 false _let_19 false _let_12)) :args ((tptp.monday tptp.a_monday) (tptp.tuesday tptp.a_tuesday) (tptp.wednesday tptp.a_wednesday) _let_11 (tptp.friday tptp.a_friday) (tptp.saturday tptp.a_saturday) (tptp.sunday tptp.a_sunday) (forall ((X $$unsorted)) (=> (tptp.monday X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.tuesday X) (tptp.day X))) _let_10 _let_9 (forall ((X $$unsorted)) (=> (tptp.friday X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.saturday X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.sunday X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.monday X) (tptp.sunday (tptp.yesterday X)))) (forall ((X $$unsorted)) (=> (tptp.tuesday X) (tptp.monday (tptp.yesterday X)))) (forall ((X $$unsorted)) (=> (tptp.wednesday X) (tptp.tuesday (tptp.yesterday X)))) _let_8 (forall ((X $$unsorted)) (=> (tptp.friday X) (tptp.thursday (tptp.yesterday X)))) (forall ((X $$unsorted)) (=> (tptp.saturday X) (tptp.friday (tptp.yesterday X)))) (forall ((X $$unsorted)) (=> (tptp.sunday X) (tptp.saturday (tptp.yesterday X)))) (forall ((X $$unsorted)) (=> (tptp.monday X) (tptp.lion_lies X))) (forall ((X $$unsorted)) (=> (tptp.tuesday X) (tptp.lion_lies X))) _let_7 _let_6 (forall ((X $$unsorted)) (=> (tptp.friday X) (not (tptp.lion_lies X)))) (forall ((X $$unsorted)) (=> (tptp.saturday X) (not (tptp.lion_lies X)))) (forall ((X $$unsorted)) (=> (tptp.sunday X) (not (tptp.lion_lies X)))) (forall ((X $$unsorted)) (=> (tptp.monday X) (not (tptp.unicorn_lies X)))) (forall ((X $$unsorted)) (=> (tptp.tuesday X) (not (tptp.unicorn_lies X)))) _let_5 _let_4 (forall ((X $$unsorted)) (=> (tptp.friday X) (tptp.unicorn_lies X))) (forall ((X $$unsorted)) (=> (tptp.saturday X) (tptp.unicorn_lies X))) (forall ((X $$unsorted)) (=> (tptp.sunday X) (not (tptp.unicorn_lies X)))) (forall ((X $$unsorted)) (=> (tptp.lion_lies X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.unicorn_lies X) (tptp.day X))) (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (tptp.lion_lies X) (tptp.lies_on_one_of tptp.a_lion X Y)) (not (tptp.lion_lies Y))))))) (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (not (tptp.lion_lies X)) (tptp.lies_on_one_of tptp.a_lion X Y)) (tptp.lion_lies Y)))))) _let_3 (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (tptp.lion_lies X) (not (tptp.lies_on_one_of tptp.a_lion X Y))) (tptp.lion_lies Y)))))) (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (tptp.unicorn_lies X) (tptp.lies_on_one_of tptp.a_unicorn X Y)) (not (tptp.unicorn_lies Y))))))) (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (not (tptp.unicorn_lies X)) (tptp.lies_on_one_of tptp.a_unicorn X Y)) (tptp.unicorn_lies Y)))))) (forall ((X $$unsorted)) (=> (tptp.day X) (forall ((Y $$unsorted)) (=> (tptp.day Y) (=> (and (not (tptp.unicorn_lies X)) (not (tptp.lies_on_one_of tptp.a_unicorn X Y))) (not (tptp.unicorn_lies Y))))))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for PUZ005+1
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------