TSTP Solution File: BOO010-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO010-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 18:06:16 EDT 2023

% Result   : Unsatisfiable 10.53s 10.96s
% Output   : Proof 10.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : BOO010-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.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   : Sun Aug 27 08:54:31 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zq22pbBuve/cvc5---1.0.5_26876.p...
% 0.21/0.51  ------- get file name : TPTP file name is BOO010-4
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26876.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.70  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.53/10.96  % SZS status Unsatisfiable for BOO010-4
% 10.53/10.96  % SZS output start Proof for BOO010-4
% 10.53/10.96  (
% 10.53/10.96  (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (tptp.add tptp.a _let_1))) (let ((_let_3 (not (= _let_2 tptp.a)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)))) (let ((_let_5 (forall ((X $$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 $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_11 (tptp.multiply tptp.a tptp.multiplicative_identity))) (let ((_let_12 (tptp.add tptp.multiplicative_identity tptp.b))) (let ((_let_13 (= (tptp.multiply tptp.a _let_12) (tptp.add _let_11 _let_1)))) (let ((_let_14 (_let_7))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (tptp.add tptp.multiplicative_identity tptp.additive_identity))) (let ((_let_17 (tptp.multiply tptp.b tptp.additive_identity))) (let ((_let_18 (= (tptp.add tptp.multiplicative_identity _let_17) (tptp.multiply _let_12 _let_16)))) (let ((_let_19 (= _let_12 (tptp.multiply _let_12 tptp.multiplicative_identity)))) (let ((_let_20 (tptp.inverse tptp.b))) (let ((_let_21 (tptp.multiply tptp.b _let_20))) (let ((_let_22 (tptp.add _let_20 tptp.additive_identity))) (let ((_let_23 (= (tptp.multiply tptp.b _let_22) (tptp.add _let_21 _let_17)))) (let ((_let_24 (tptp.add tptp.additive_identity tptp.b))) (let ((_let_25 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_26 (tptp.multiply tptp.additive_identity tptp.b))) (let ((_let_27 (= (tptp.add tptp.additive_identity _let_26) (tptp.multiply _let_25 _let_24)))) (let ((_let_28 (= _let_20 _let_22))) (let ((_let_29 (= tptp.additive_identity _let_21))) (let ((_let_30 (= _let_26 _let_17))) (let ((_let_31 (tptp.add tptp.b tptp.additive_identity))) (let ((_let_32 (= _let_31 _let_24))) (let ((_let_33 (= tptp.a _let_11))) (let ((_let_34 (= tptp.b _let_31))) (let ((_let_35 (= tptp.multiplicative_identity _let_16))) (let ((_let_36 (= tptp.additive_identity _let_25))) (let ((_let_37 (= tptp.a _let_2))) (let ((_let_38 (not _let_13))) (let ((_let_39 (_let_8))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_50 (_let_9))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (tptp.additive_identity tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_53 (_let_10))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (SYMM (ASSUME :args (_let_3))))) (let ((_let_56 (not _let_37))) (let ((_let_57 (and _let_56 _let_36 _let_35 _let_34 _let_33 _let_32 _let_30 _let_29 _let_28 _let_27 _let_23 _let_19 _let_18))) (let ((_let_58 (APPLY_UF tptp.add))) (let ((_let_59 (ASSUME :args (_let_33)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (APPLY_UF tptp.multiply))) (let ((_let_62 (ASSUME :args (_let_35)))) (let ((_let_63 (ASSUME :args (_let_29)))) (let ((_let_64 (ASSUME :args (_let_28)))) (let ((_let_65 (ASSUME :args (_let_23)))) (let ((_let_66 (ASSUME :args (_let_30)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_27)))) (let ((_let_69 (ASSUME :args (_let_32)))) (let ((_let_70 (ASSUME :args (_let_34)))) (let ((_let_71 (ASSUME :args (_let_36)))) (let ((_let_72 (ASSUME :args (_let_18)))) (let ((_let_73 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.a tptp.multiplicative_identity tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_62 _let_63 _let_64 _let_65 _let_66 _let_68 _let_71 _let_69 _let_70 _let_72 _let_73 _let_55) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (tptp.a)) (TRANS (SYMM (SYMM _let_73)) (CONG (REFL :args (_let_12)) _let_62 :args _let_61) (SYMM _let_72) (CONG (REFL :args (tptp.multiplicative_identity)) (TRANS _let_67 (CONG (SYMM (SYMM _let_71)) (TRANS (SYMM (SYMM _let_70)) (SYMM (SYMM _let_69))) :args _let_61) (SYMM _let_68) (CONG _let_63 (SYMM _let_67) :args _let_58) (SYMM _let_65) (CONG (REFL :args (tptp.b)) (SYMM _let_64) :args _let_61) (SYMM _let_63)) :args _let_58) (SYMM _let_62)) :args _let_61) _let_60) (CONG _let_60 (REFL :args (_let_1)) :args _let_58) :args (=)) (FALSE_INTRO _let_55))) :args (_let_33 _let_35 _let_29 _let_28 _let_23 _let_30 _let_27 _let_36 _let_32 _let_34 _let_18 _let_19 _let_56))) :args (_let_56 _let_36 _let_35 _let_34 _let_33 _let_32 _let_30 _let_29 _let_28 _let_27 _let_23 _let_19 _let_18))) :args (true _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_37))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_23))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args (_let_38)) :args (or))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_36 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.multiplicative_identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_45 :args (_let_35 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_49) :args _let_46)) _let_45 :args (_let_34 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_42 :args (_let_33 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_52) :args _let_53))) _let_54 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args _let_52) :args _let_50)) _let_51 :args (_let_30 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_49) :args (_let_47))) _let_48 :args (_let_29 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_20 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_28 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.additive_identity tptp.additive_identity tptp.b QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_40 :args (_let_27 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.b _let_20 tptp.additive_identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_14)) _let_15 :args (_let_23 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_42 :args (_let_19 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.multiplicative_identity tptp.b tptp.additive_identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_18 false _let_8)) :args (_let_38 true _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_32 false _let_30 false _let_29 false _let_28 false _let_27 false _let_23 false _let_19 false _let_18)) _let_15 :args (false true _let_13 false _let_7)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)) _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.53/10.96  )
% 10.76/10.96  % SZS output end Proof for BOO010-4
% 10.76/10.96  % cvc5---1.0.5 exiting
% 10.76/10.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------