%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 18:06:11 EDT 2023

% Result   : Unsatisfiable 0.19s 0.62s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BOO003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 09:01:04 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TIundfzDn2/cvc5---1.0.5_21934.p...
% 0.19/0.49  ------- get file name : TPTP file name is BOO003-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21934.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.62  % SZS status Unsatisfiable for BOO003-1
% 0.19/0.62  % SZS output start Proof for BOO003-1
% 0.19/0.62  (
% 0.19/0.62  (let ((_let_1 (tptp.product tptp.x tptp.x tptp.x))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_5 (forall ((X $$unsorted)) (tptp.product (tptp.inverse X) X tptp.additive_identity)))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.sum (tptp.inverse X) X tptp.multiplicative_identity)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum X V3 V4))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum X Y V1)) (not (tptp.sum X Z V2)) (not (tptp.product Y Z V3)) (not (tptp.sum X V3 V4)) (tptp.product V1 V2 V4))))) (let ((_let_9 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.product tptp.multiplicative_identity X X)))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))))) (let ((_let_15 (tptp.sum tptp.x tptp.additive_identity tptp.x))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_16 _let_16 _let_18 _let_16 _let_1))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (_let_11))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_26 (= tptp.additive_identity _let_25))) (let ((_let_27 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_28 (= tptp.additive_identity _let_27))) (let ((_let_29 (tptp.product tptp.additive_identity tptp.additive_identity _let_25))) (let ((_let_30 (tptp.product tptp.multiplicative_identity tptp.additive_identity _let_25))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_26))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.sum tptp.additive_identity _let_25 _let_25))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.inverse tptp.additive_identity))) (let ((_let_40 (tptp.sum _let_39 tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_29))) (let ((_let_43 (tptp.product _let_39 tptp.additive_identity tptp.additive_identity))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_41 _let_38 _let_30))) (let ((_let_46 (_let_9))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_49 _let_42 _let_42 _let_37))) (let ((_let_51 (_let_7))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_13))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_55) :args _let_53)) _let_54 :args (_let_29 false _let_13)))) (let ((_let_57 (_let_12))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_59) :args _let_57)) _let_58 :args (_let_48 false _let_12)))) (let ((_let_61 (_let_5))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (_let_6))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (_let_10))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (tptp.sum tptp.additive_identity tptp.additive_identity _let_27))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_49 _let_28))) (let ((_let_70 (_let_4))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_14))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (and _let_29 _let_28 _let_26))) (let ((_let_75 (_let_29 _let_28 _let_26))) (let ((_let_76 (ASSUME :args (_let_29)))) (let ((_let_77 (APPLY_UF tptp.product))) (let ((_let_78 (REFL :args (tptp.additive_identity)))) (let ((_let_79 (ASSUME :args (_let_28)))) (let ((_let_80 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.x tptp.additive_identity tptp.x tptp.additive_identity tptp.x tptp.additive_identity tptp.x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y V1) false)) (not (= (tptp.sum X Z V2) false)) (not (= (tptp.sum X V3 V4) false))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_19))) :args ((or _let_1 _let_18 _let_16 _let_22))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_79 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG _let_79 _let_78 (SYMM (SYMM _let_80)) :args _let_77) (CONG (SYMM _let_79) _let_78 (REFL :args (_let_25)) :args _let_77) (TRUE_INTRO _let_76))) :args _let_75)) :args _let_75)) :args (true _let_74)) :args ((or _let_17 _let_42 (not _let_28) (not _let_26)))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_49 _let_68 _let_28 (not _let_69)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args _let_55) :args _let_72)) _let_73 :args (_let_67 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.additive_identity tptp.additive_identity _let_27 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X Y V) false))))) :args _let_70))) _let_71 :args (_let_69 false _let_4)) :args (_let_28 false _let_48 false _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 _let_26 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_59) :args _let_65)) _let_66 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_42 _let_41 _let_44 _let_38 _let_30 (not _let_45)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args _let_59) :args _let_63)) _let_64 :args (_let_40 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_59) :args _let_61)) _let_62 :args (_let_43 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_50))) :args ((or _let_49 _let_42 _let_37 (not _let_50)))) _let_60 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_25 _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Z V2) false)) (not (= (tptp.product Y Z V3) false)) (not (= (tptp.product V1 V2 V4) false))))) :args _let_51)) _let_52 :args (_let_50 false _let_7)) :args (_let_37 false _let_48 false _let_29 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_39 tptp.additive_identity tptp.additive_identity tptp.additive_identity _let_25 tptp.multiplicative_identity _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Z X V2) false)) (not (= (tptp.sum Y Z V3) false)) (not (= (tptp.sum V1 V2 V4) false))))) :args _let_46)) _let_47 :args (_let_45 false _let_9)) :args (_let_30 false _let_29 false _let_40 false _let_43 false _let_37 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product X Y V) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_3)) :args (_let_26 false _let_32 false _let_30 false _let_34)) :args (_let_17 false _let_29 false _let_28 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.x QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_15 false _let_11)) :args (_let_22 true _let_1 false _let_17 false _let_15)) _let_21 :args (false true _let_19 false _let_8)) :args (_let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.product X Y Z)) (tptp.product Y X Z))) _let_12 _let_11 _let_10 (forall ((X $$unsorted)) (tptp.product X tptp.multiplicative_identity X)) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))) (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))) _let_9 _let_8 _let_7 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.sum V3 X V4)) (tptp.product V1 V2 V4))) (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.sum Y X V1)) (not (tptp.sum Z X V2)) (not (tptp.product Y Z V3)) (not (tptp.product V1 V2 V4)) (tptp.sum V3 X V4))) _let_6 (forall ((X $$unsorted)) (tptp.sum X (tptp.inverse X) tptp.multiplicative_identity)) _let_5 (forall ((X $$unsorted)) (tptp.product X (tptp.inverse X) tptp.additive_identity)) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.62  )
% 0.19/0.62  % SZS output end Proof for BOO003-1
% 0.19/0.63  % cvc5---1.0.5 exiting
% 0.19/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------