%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG001-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 13:49:22 EDT 2023

% Result   : Unsatisfiable 0.44s 0.65s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : RNG001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n009.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 02:47:50 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.MaTIEpoyZ4/cvc5---1.0.5_27439.p...
% 0.20/0.48  ------- get file name : TPTP file name is RNG001-4
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27439.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.65  % SZS status Unsatisfiable for RNG001-4
% 0.44/0.65  % SZS output start Proof for RNG001-4
% 0.44/0.65  (
% 0.44/0.65  (let ((_let_1 (tptp.product tptp.a tptp.additive_identity tptp.additive_identity))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y Z)) (not (tptp.sum W Y Z)) (= X W))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y Z)) (not (tptp.sum X W Z)) (= Y W))))) (let ((_let_5 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))))) (let ((_let_6 (forall ((Y $$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 ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_12 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_13 (= tptp.additive_identity _let_12))) (let ((_let_14 (tptp.multiply tptp.a tptp.additive_identity))) (let ((_let_15 (tptp.sum _let_14 _let_12 tptp.additive_identity))) (let ((_let_16 (tptp.sum _let_14 _let_12 _let_14))) (let ((_let_17 (= _let_12 _let_14))) (let ((_let_18 (tptp.sum _let_12 tptp.additive_identity _let_12))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.sum _let_12 _let_12 _let_12))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_13))) (let ((_let_23 (_let_4))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_10))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.product tptp.additive_identity tptp.additive_identity _let_12))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_28 _let_28 _let_30 _let_28 _let_20))) (let ((_let_32 (_let_7))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((not (= (tptp.product X Y V1) false)) (not (= (tptp.product X Z V2) false)) (not (= (tptp.product X V3 V4) false))))) (let ((_let_35 (_let_9))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_27 false _let_9)))) (let ((_let_38 (_let_11))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_39 :args (_let_29 false _let_11)))) (let ((_let_41 (not _let_15))) (let ((_let_42 (tptp.sum tptp.a tptp.additive_identity tptp.a))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.product tptp.a tptp.additive_identity _let_14))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_28 _let_43 _let_41 _let_1))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.a tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_36 :args (_let_44 false _let_9)))) (let ((_let_50 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_51 (tptp.sum _let_12 _let_14 _let_14))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_16))) (let ((_let_54 (_let_8))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.sum tptp.additive_identity tptp.a tptp.a))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_28 _let_45 _let_57 _let_45 _let_51))) (let ((_let_59 (_let_6))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_58))) :args ((or _let_28 _let_57 _let_45 _let_51 (not _let_58)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_50) :args _let_38)) _let_39 :args (_let_56 false _let_11)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.additive_identity tptp.additive_identity _let_12 tptp.a _let_14 tptp.a _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Y X V1) false)) (not (= (tptp.product Z X V2) false)) (not (= (tptp.product V3 X V4) false))))) :args _let_59)) _let_60 :args (_let_58 false _let_6)) :args (_let_51 false _let_27 false _let_56 false _let_44 false _let_58)))) (let ((_let_62 (tptp.sum _let_14 _let_14 _let_14))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_52 _let_17))) (let ((_let_65 (_let_3))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (or _let_45 _let_45 _let_30 _let_45 _let_62))) (let ((_let_68 (ASSUME :args (_let_41)))) (let ((_let_69 (ASSUME :args (_let_13)))) (let ((_let_70 (ASSUME :args (_let_17)))) (let ((_let_71 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_69 _let_70 _let_71) :args (_let_13 _let_41 _let_16 _let_17)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_71)) (CONG (REFL :args (_let_14)) (REFL :args (_let_12)) (TRANS (SYMM _let_70) (SYMM _let_69)) :args (APPLY_UF tptp.sum)) (FALSE_INTRO _let_68))) :args (_let_41 _let_13 _let_17 _let_16)) :args ((not (and _let_13 _let_41 _let_16 _let_17)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_52 _let_17 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_67))) :args ((or _let_30 _let_45 _let_62 (not _let_67)))) _let_40 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.a tptp.additive_identity _let_14 tptp.additive_identity _let_14 tptp.additive_identity _let_14 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_67 false _let_7)) :args (_let_62 false _let_29 false _let_44 false _let_67)) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_14 _let_14 _let_14 _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y Z) false)) (not (= (tptp.sum W Y Z) false))))) :args _let_65))) _let_66 :args (_let_64 false _let_3)) :args (_let_17 false _let_62 false _let_51 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_16 (not _let_53)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum X Y Z) false))))) :args _let_54)) _let_55 :args (_let_53 false _let_8)) :args (_let_16 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_1 _let_28 _let_43 _let_45 _let_41 (not _let_46)))) (ASSUME :args (_let_2)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_50) :args _let_25)) _let_26 :args (_let_42 false _let_10)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.additive_identity _let_14 tptp.additive_identity _let_12 tptp.a tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Z X V2) false)) (not (= (tptp.product V3 X V4) true)) (not (= (tptp.product Y X V1) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_5)) :args (_let_41 true _let_1 false _let_27 false _let_42 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_13 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_31))) :args ((or _let_30 _let_28 _let_20 (not _let_31)))) _let_40 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.additive_identity tptp.additive_identity _let_12 tptp.additive_identity _let_12 tptp.additive_identity _let_12 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_7)) :args (_let_20 false _let_29 false _let_27 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_26 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_12 _let_12 _let_12 tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y Z) false)) (not (= (tptp.sum X W Z) false))))) :args _let_23))) _let_24 :args (_let_22 false _let_4)) :args (_let_13 false _let_20 false _let_18 false _let_22)) :args (false false _let_17 false _let_16 true _let_15 false _let_13)) :args (_let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))) (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)) (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))) _let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))) _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))) _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.65  )
% 0.44/0.66  % SZS output end Proof for RNG001-4
% 0.44/0.66  % cvc5---1.0.5 exiting
% 0.44/0.66  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------