TSTP Solution File: BOO004-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO004-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 18:06:12 EDT 2023

% Result   : Unsatisfiable 0.22s 0.61s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : BOO004-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n025.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   : Sun Aug 27 08:06:24 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jhowfTN16q/cvc5---1.0.5_10766.p...
% 0.22/0.50  ------- get file name : TPTP file name is BOO004-4
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10766.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.61  % SZS status Unsatisfiable for BOO004-4
% 0.22/0.61  % SZS output start Proof for BOO004-4
% 0.22/0.62  (
% 0.22/0.62  (let ((_let_1 (tptp.add tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_11 (= tptp.a _let_1))) (let ((_let_12 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_13 (tptp.multiply _let_12 _let_12))) (let ((_let_14 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_15 (tptp.add tptp.additive_identity _let_14))) (let ((_let_16 (= _let_15 _let_13))) (let ((_let_17 (= tptp.additive_identity _let_12))) (let ((_let_18 (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)))) (let ((_let_19 (tptp.inverse tptp.additive_identity))) (let ((_let_20 (tptp.add tptp.additive_identity _let_19))) (let ((_let_21 (= tptp.multiplicative_identity _let_20))) (let ((_let_22 (tptp.multiply tptp.additive_identity _let_19))) (let ((_let_23 (= tptp.additive_identity _let_22))) (let ((_let_24 (= _let_15 (tptp.add _let_14 tptp.additive_identity)))) (let ((_let_25 (= (tptp.multiply tptp.additive_identity _let_20) (tptp.add _let_14 _let_22)))) (let ((_let_26 (= tptp.a (tptp.add tptp.a tptp.additive_identity)))) (let ((_let_27 (tptp.inverse tptp.multiplicative_identity))) (let ((_let_28 (tptp.multiply tptp.multiplicative_identity _let_27))) (let ((_let_29 (= tptp.additive_identity _let_28))) (let ((_let_30 (tptp.multiply _let_27 tptp.multiplicative_identity))) (let ((_let_31 (= _let_28 _let_30))) (let ((_let_32 (tptp.add tptp.a _let_27))) (let ((_let_33 (tptp.add tptp.a tptp.multiplicative_identity))) (let ((_let_34 (tptp.multiply _let_33 _let_32))) (let ((_let_35 (= (tptp.add tptp.a _let_28) _let_34))) (let ((_let_36 (tptp.add tptp.multiplicative_identity tptp.a))) (let ((_let_37 (= _let_33 _let_36))) (let ((_let_38 (= _let_34 (tptp.multiply _let_32 _let_33)))) (let ((_let_39 (= (tptp.multiply _let_33 (tptp.add _let_32 _let_32)) (tptp.add _let_34 _let_34)))) (let ((_let_40 (= _let_27 _let_30))) (let ((_let_41 (tptp.add tptp.a _let_12))) (let ((_let_42 (= (tptp.add tptp.a _let_13) (tptp.multiply _let_41 _let_41)))) (let ((_let_43 (tptp.multiply tptp.multiplicative_identity tptp.a))) (let ((_let_44 (= (tptp.add tptp.a _let_43) (tptp.multiply _let_33 _let_1)))) (let ((_let_45 (tptp.multiply _let_32 tptp.a))) (let ((_let_46 (tptp.multiply _let_32 tptp.multiplicative_identity))) (let ((_let_47 (tptp.add _let_46 _let_45))) (let ((_let_48 (= (tptp.multiply _let_32 _let_36) _let_47))) (let ((_let_49 (= _let_47 (tptp.add _let_45 _let_46)))) (let ((_let_50 (= _let_43 (tptp.multiply tptp.a tptp.multiplicative_identity)))) (let ((_let_51 (_let_8))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_57 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add X (tptp.inverse X)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 (_let_10))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((tptp.add X Y)))) (let ((_let_68 (_let_7))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.multiply X (tptp.add Y Z))))) (let ((_let_71 (_let_9))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.multiply X Y)))) (let ((_let_74 ((tptp.add X (tptp.multiply Y Z))))) (let ((_let_75 (and _let_16 _let_17 _let_18 _let_21 _let_23 _let_24 _let_25 _let_26 _let_29 _let_31 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_44 _let_48 _let_49 _let_50))) (let ((_let_76 (APPLY_UF tptp.add))) (let ((_let_77 (ASSUME :args (_let_26)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (ASSUME :args (_let_29)))) (let ((_let_80 (REFL :args (tptp.a)))) (let ((_let_81 (CONG _let_80 (SYMM _let_79) :args _let_76))) (let ((_let_82 (ASSUME :args (_let_35)))) (let ((_let_83 (TRANS (SYMM _let_82) _let_81 _let_78))) (let ((_let_84 (ASSUME :args (_let_39)))) (let ((_let_85 (APPLY_UF tptp.multiply))) (let ((_let_86 (ASSUME :args (_let_40)))) (let ((_let_87 (ASSUME :args (_let_31)))) (let ((_let_88 (TRANS _let_77 (CONG _let_80 (TRANS _let_79 (SYMM (SYMM _let_87)) (SYMM _let_86)) :args _let_76)))) (let ((_let_89 (ASSUME :args (_let_44)))) (let ((_let_90 (ASSUME :args (_let_50)))) (let ((_let_91 (SYMM _let_88))) (let ((_let_92 (ASSUME :args (_let_18)))) (let ((_let_93 (ASSUME :args (_let_21)))) (let ((_let_94 (ASSUME :args (_let_25)))) (let ((_let_95 (ASSUME :args (_let_23)))) (let ((_let_96 (ASSUME :args (_let_24)))) (let ((_let_97 (ASSUME :args (_let_16)))) (let ((_let_98 (ASSUME :args (_let_42)))) (let ((_let_99 (ASSUME :args (_let_17)))) (let ((_let_100 (TRANS _let_77 (CONG _let_80 (SYMM (SYMM _let_99)) :args _let_76)))) (let ((_let_101 (ASSUME :args (_let_49)))) (let ((_let_102 (ASSUME :args (_let_48)))) (let ((_let_103 (ASSUME :args (_let_37)))) (let ((_let_104 (ASSUME :args (_let_38)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_75)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_79 _let_82 _let_84 _let_86 _let_87 _let_89 _let_92 _let_93 _let_94 _let_95 _let_96 _let_97 _let_98 _let_99 _let_90 _let_101 _let_102 _let_103 _let_104) (SCOPE (TRANS _let_77 (SYMM _let_81) _let_82 (SYMM (SYMM _let_104)) (CONG (REFL :args (_let_32)) (SYMM (SYMM _let_103)) :args _let_85) (SYMM (SYMM _let_102)) (SYMM (SYMM _let_101)) (CONG (TRANS (CONG (TRANS _let_91 _let_100) _let_100 :args _let_85) (SYMM _let_98) (CONG _let_80 (TRANS (SYMM _let_97) (SYMM (SYMM _let_96)) (CONG (REFL :args (_let_14)) (SYMM (SYMM _let_95)) :args _let_76) (SYMM _let_94) (CONG (REFL :args (tptp.additive_identity)) (SYMM _let_93) :args _let_85) (SYMM _let_92)) :args _let_76) _let_78) (TRANS (CONG _let_91 (REFL :args (tptp.multiplicative_identity)) :args _let_85) (SYMM _let_90)) :args _let_76) (SYMM (SYMM _let_89)) (CONG (REFL :args (_let_33)) (CONG _let_88 _let_88 :args _let_76) :args _let_85) (SYMM (SYMM _let_84)) (CONG _let_83 _let_83 :args _let_76)) :args (_let_26 _let_29 _let_35 _let_39 _let_40 _let_31 _let_44 _let_18 _let_21 _let_25 _let_23 _let_24 _let_16 _let_42 _let_17 _let_50 _let_49 _let_48 _let_37 _let_38))) :args (_let_16 _let_17 _let_18 _let_21 _let_23 _let_24 _let_25 _let_26 _let_29 _let_31 _let_35 _let_37 _let_38 _let_39 _let_40 _let_42 _let_44 _let_48 _let_49 _let_50))) :args (true _let_75)) :args ((or _let_11 (not _let_16) (not _let_17) (not _let_18) (not _let_21) (not _let_23) (not _let_24) (not _let_25) (not _let_26) (not _let_29) (not _let_31) (not _let_35) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_42) (not _let_44) (not _let_48) (not _let_49) (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_50 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_46 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_49 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_32 tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68)) _let_69 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a tptp.multiplicative_identity tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.add X Y) (tptp.add X Z))))) :args _let_51)) _let_52 :args (_let_44 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a _let_12 _let_12 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_51)) _let_52 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X tptp.multiplicative_identity)))) :args _let_59)) _let_58 :args (_let_40 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_33 _let_32 _let_32 QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.multiply X Y) (tptp.multiply X Z))))) :args _let_68)) _let_69 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_38 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.a tptp.multiplicative_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_37 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a tptp.multiplicative_identity _let_27 QUANTIFIERS_INST_E_MATCHING _let_74)) :args _let_51)) _let_52 :args (_let_35 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.multiplicative_identity _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_73)) :args _let_71)) _let_72 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_64)) _let_63 :args (_let_29 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_55)) _let_54 :args (_let_26 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.additive_identity tptp.additive_identity _let_19 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68)) _let_69 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.additive_identity _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args _let_56) :args _let_64)) _let_63 :args (_let_23 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_56) :args (_let_60))) _let_61 :args (_let_21 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_56) :args _let_59)) _let_58 :args (_let_18 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_56) :args _let_55)) _let_54 :args (_let_17 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_16 false _let_8)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_50 false _let_49 false _let_48 false _let_44 false _let_42 false _let_40 false _let_39 false _let_38 false _let_37 false _let_35 false _let_31 false _let_29 false _let_26 false _let_25 false _let_24 false _let_23 false _let_21 false _let_18 false _let_17 false _let_16 true _let_11)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.62  )
% 0.22/0.62  % SZS output end Proof for BOO004-4
% 0.22/0.62  % cvc5---1.0.5 exiting
% 0.22/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------