TSTP Solution File: ALG002-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ALG002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 : Wed Aug 30 16:07:48 EDT 2023

% Result   : Unsatisfiable 11.30s 11.50s
% Output   : Proof 11.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ALG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.36  % Computer : n016.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit   : 300
% 0.18/0.36  % WCLimit    : 300
% 0.18/0.36  % DateTime   : Mon Aug 28 04:32:14 EDT 2023
% 0.18/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6zL69sDfok/cvc5---1.0.5_29120.p...
% 0.21/0.51  ------- get file name : TPTP file name is ALG002-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29120.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.63  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.30/11.50  % SZS status Unsatisfiable for ALG002-1
% 11.30/11.50  % SZS output start Proof for ALG002-1
% 11.30/11.51  (
% 11.30/11.51  (let ((_let_1 (tptp.multiplicative_inverse tptp.a))) (let ((_let_2 (tptp.greater_than_0 _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.greater_than_0 tptp.a))) (let ((_let_5 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.product Y Z X)) (not (tptp.greater_than_0 Y)) (not (tptp.greater_than_0 Z)) (tptp.greater_than_0 X))))) (let ((_let_6 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (not (tptp.product Y Z X)) (not (tptp.product Y Y tptp.additive_identity)) (tptp.product X X tptp.additive_identity))))) (let ((_let_7 (forall ((X $$unsorted)) (or (tptp.greater_than_0 X) (tptp.product X X tptp.additive_identity) (tptp.greater_than_0 (tptp.additive_inverse X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product Y X Z))))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.greater_than_0 X)) (not (tptp.product X X tptp.additive_identity)))))) (let ((_let_10 (forall ((X $$unsorted)) (or (not (tptp.greater_than_0 X)) (not (tptp.greater_than_0 (tptp.additive_inverse X))))))) (let ((_let_11 (forall ((X $$unsorted)) (or (tptp.product X (tptp.multiplicative_inverse X) tptp.multiplicative_identity) (tptp.product X X tptp.additive_identity))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product X (tptp.additive_inverse Y) (tptp.additive_inverse Z)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product (tptp.additive_inverse X) (tptp.additive_inverse Y) Z))))) (let ((_let_14 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.product X tptp.multiplicative_identity X)))) (let ((_let_17 (tptp.product _let_1 _let_1 tptp.additive_identity))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.product _let_1 tptp.a tptp.multiplicative_identity))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_14))) (let ((_let_22 (_let_6))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.product tptp.a _let_1 tptp.multiplicative_identity))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_19))) (let ((_let_28 (_let_8))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (tptp.a _let_1 tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_31 (tptp.product tptp.a tptp.a tptp.additive_identity))) (let ((_let_32 (or _let_25 _let_31))) (let ((_let_33 (_let_11))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_36 (not _let_31))) (let ((_let_37 (not _let_4))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (ASSUME :args (_let_4)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_25 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args _let_35) :args _let_39)) _let_40 :args (_let_38 false _let_9)) :args (_let_36 false _let_4 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_35) :args _let_33)) _let_34 :args (_let_32 false _let_11)) :args (_let_25 true _let_31 false _let_32)))) (let ((_let_43 (tptp.additive_inverse _let_1))) (let ((_let_44 (tptp.greater_than_0 _let_43))) (let ((_let_45 (or _let_2 _let_17 _let_44))) (let ((_let_46 (_let_7))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.additive_inverse tptp.multiplicative_identity))) (let ((_let_49 (tptp.greater_than_0 _let_48))) (let ((_let_50 (not _let_44))) (let ((_let_51 (tptp.product tptp.a _let_43 _let_48))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_37 _let_50 _let_49))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (or _let_26 _let_51))) (let ((_let_57 (_let_12))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (not _let_49))) (let ((_let_60 (tptp.greater_than_0 tptp.multiplicative_identity))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (_let_10))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM))) (let ((_let_66 (or _let_60 _let_14 _let_49))) (let ((_let_67 (tptp.product _let_48 _let_48 tptp.multiplicative_identity))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_59 _let_59 _let_60))) (let ((_let_70 (ASSUME :args (_let_15)))) (let ((_let_71 (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_67))) (let ((_let_74 (_let_13))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (_let_16))) (let ((_let_77 (ASSUME :args _let_76))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_14 _let_18 _let_20 _let_24))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_2 _let_17 _let_44 (not _let_45)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_37 _let_49 _let_50 _let_52 (not _let_53)))) _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_59 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_69))) :args ((or _let_68 _let_60 _let_59 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_48 _let_48 tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_69 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_67 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_65) :args _let_76)) _let_77 :args (_let_71 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_74)) _let_75 :args (_let_73 false _let_13)) :args (_let_67 false _let_71 false _let_73)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_14 _let_60 _let_49 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_65) :args _let_46)) _let_47 :args (_let_66 false _let_7)) _let_70 :args (_let_60 false _let_69 false _let_67 false _let_49 false _let_66 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_65) :args _let_63)) _let_64 :args (_let_62 false _let_10)) :args (_let_59 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_26 _let_51 (not _let_56)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_30) :args _let_57)) _let_58 :args (_let_56 false _let_12)) :args (_let_51 false _let_25 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a _let_43 _let_48 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_55 :args (_let_53 false _let_5)) :args (_let_50 false _let_4 true _let_49 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_45 false _let_7)) :args (_let_17 true _let_2 true _let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_19 (not _let_27)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_30) :args _let_28)) _let_29 :args (_let_27 false _let_8)) :args (_let_19 false _let_25 false _let_27)) :args (_let_24 true _let_14 false _let_17 false _let_19)) _let_23 :args (false true _let_21 false _let_6)) :args (_let_16 _let_15 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (tptp.product X Y Z) (not (tptp.product (tptp.additive_inverse X) (tptp.additive_inverse Y) Z)))) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.30/11.51  )
% 11.30/11.51  % SZS output end Proof for ALG002-1
% 11.33/11.51  % cvc5---1.0.5 exiting
% 11.33/11.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------