%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 : Fri Sep  1 02:00:51 EDT 2023

% Result   : Unsatisfiable 0.16s 0.48s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat Aug 26 18:26:26 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.43  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.m8Xg6uE6H7/cvc5---1.0.5_23281.p...
% 0.16/0.44  ------- get file name : TPTP file name is SYN013-1
% 0.16/0.44  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23281.smt2...
% 0.16/0.44  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.48  % SZS status Unsatisfiable for SYN013-1
% 0.16/0.48  % SZS output start Proof for SYN013-1
% 0.16/0.48  (
% 0.16/0.48  (let ((_let_1 (forall ((Y $$unsorted)) (or (= Y tptp.k) (= Y tptp.m) (= Y tptp.n) (not (tptp.element Y tptp.k)))))) (let ((_let_2 (forall ((Y $$unsorted)) (or (= Y tptp.k) (not (= Y tptp.n)) (tptp.element Y tptp.k))))) (let ((_let_3 (forall ((Y $$unsorted)) (or (= Y tptp.k) (not (= Y tptp.m)) (tptp.element Y tptp.k))))) (let ((_let_4 (forall ((Y $$unsorted) (V $$unsorted)) (or (= Y tptp.n) (not (tptp.element Y tptp.n)) (= V tptp.n) (= V Y) (not (tptp.element Y V)) (not (tptp.element V Y)))))) (let ((_let_5 (forall ((Y $$unsorted)) (or (= Y tptp.n) (tptp.element Y tptp.n) (tptp.element (tptp.g Y) Y))))) (let ((_let_6 (forall ((Y $$unsorted)) (or (= Y tptp.n) (tptp.element Y tptp.n) (tptp.element Y (tptp.g Y)))))) (let ((_let_7 (forall ((Y $$unsorted)) (or (= Y tptp.n) (tptp.element Y tptp.n) (not (= (tptp.g Y) Y)))))) (let ((_let_8 (forall ((Y $$unsorted)) (or (= Y tptp.n) (tptp.element Y tptp.n) (not (= (tptp.g Y) tptp.n)))))) (let ((_let_9 (forall ((Y $$unsorted) (V $$unsorted)) (or (= Y tptp.m) (tptp.element Y tptp.m) (= V tptp.m) (= V Y) (not (tptp.element Y V)) (not (tptp.element V Y)))))) (let ((_let_10 (forall ((Y $$unsorted)) (or (= Y tptp.m) (not (tptp.element Y tptp.m)) (tptp.element (tptp.f Y) Y))))) (let ((_let_11 (forall ((Y $$unsorted)) (or (= Y tptp.m) (not (tptp.element Y tptp.m)) (tptp.element Y (tptp.f Y)))))) (let ((_let_12 (forall ((Y $$unsorted)) (or (= Y tptp.m) (not (tptp.element Y tptp.m)) (not (= (tptp.f Y) Y)))))) (let ((_let_13 (forall ((Y $$unsorted)) (or (= Y tptp.m) (not (tptp.element Y tptp.m)) (not (= (tptp.f Y) tptp.m)))))) (let ((_let_14 (not (= tptp.k tptp.m)))) (let ((_let_15 (= tptp.n tptp.k))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not (= tptp.m tptp.n)))) (let ((_let_18 (= tptp.n tptp.m))) (let ((_let_19 (= tptp.m tptp.k))) (let ((_let_20 (tptp.element tptp.m tptp.k))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.element tptp.k tptp.m))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.element tptp.k tptp.n))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_15 _let_25 _let_18 _let_19 _let_23 _let_21))) (let ((_let_27 (SYMM (ASSUME :args (_let_17))))) (let ((_let_28 (ASSUME :args (_let_16)))) (let ((_let_29 (SYMM (ASSUME :args (_let_14))))) (let ((_let_30 (forall ((Y $$unsorted) (V $$unsorted)) (or (= tptp.n Y) (not (tptp.element Y tptp.n)) (= tptp.n V) (= Y V) (not (tptp.element Y V)) (not (tptp.element V Y)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (tptp.g tptp.k))) (let ((_let_33 (= tptp.n _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_15 _let_24 _let_34))) (let ((_let_36 (= tptp.k _let_32))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_15 _let_24 _let_37))) (let ((_let_39 (tptp.element tptp.k _let_32))) (let ((_let_40 (or _let_15 _let_24 _let_39))) (let ((_let_41 (tptp.element _let_32 tptp.k))) (let ((_let_42 (or _let_15 _let_24 _let_41))) (let ((_let_43 (not _let_41))) (let ((_let_44 (= tptp.m _let_32))) (let ((_let_45 (or _let_36 _let_44 _let_33 _let_43))) (let ((_let_46 (tptp.f tptp.k))) (let ((_let_47 (= tptp.m _let_46))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_19 _let_23 _let_48))) (let ((_let_50 (= tptp.k _let_46))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_19 _let_23 _let_51))) (let ((_let_53 (tptp.element tptp.k _let_46))) (let ((_let_54 (or _let_19 _let_23 _let_53))) (let ((_let_55 (tptp.element _let_46 tptp.k))) (let ((_let_56 (or _let_19 _let_23 _let_55))) (let ((_let_57 (not _let_55))) (let ((_let_58 (= tptp.n _let_46))) (let ((_let_59 (or _let_50 _let_47 _let_58 _let_57))) (let ((_let_60 (forall ((Y $$unsorted)) (or (= tptp.n Y) (tptp.element Y tptp.n) (not (= tptp.n (tptp.g Y))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (forall ((Y $$unsorted)) (or (= tptp.n Y) (tptp.element Y tptp.n) (not (= Y (tptp.g Y))))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (forall ((Y $$unsorted)) (or (= tptp.n Y) (tptp.element Y tptp.n) (tptp.element Y (tptp.g Y)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (forall ((Y $$unsorted)) (or (= tptp.n Y) (tptp.element Y tptp.n) (tptp.element (tptp.g Y) Y))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (forall ((Y $$unsorted)) (or (= tptp.k Y) (= tptp.m Y) (= tptp.n Y) (not (tptp.element Y tptp.k)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((not (= (tptp.element Y tptp.k) false))))) (let ((_let_72 (and _let_39 _let_44))) (let ((_let_73 (_let_39 _let_44))) (let ((_let_74 (ASSUME :args (_let_39)))) (let ((_let_75 (APPLY_UF tptp.element))) (let ((_let_76 (ASSUME :args (_let_44)))) (let ((_let_77 (REFL :args (tptp.k)))) (let ((_let_78 (forall ((Y $$unsorted)) (or (= tptp.m Y) (not (tptp.element Y tptp.m)) (not (= tptp.m (tptp.f Y))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (forall ((Y $$unsorted)) (or (= tptp.m Y) (not (tptp.element Y tptp.m)) (not (= Y (tptp.f Y))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (forall ((Y $$unsorted)) (or (= tptp.m Y) (not (tptp.element Y tptp.m)) (tptp.element Y (tptp.f Y)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (forall ((Y $$unsorted)) (or (= tptp.m Y) (not (tptp.element Y tptp.m)) (tptp.element (tptp.f Y) Y))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (ASSUME :args (_let_25)))) (let ((_let_87 (ASSUME :args (_let_58)))) (let ((_let_88 (ASSUME :args (_let_53)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_86 _let_87 _let_88) :args (_let_25 _let_53 _let_58)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_88)) (CONG _let_77 (SYMM _let_87) :args _let_75) (FALSE_INTRO _let_86))) :args (_let_25 _let_58 _let_53)) :args ((not (and _let_25 _let_53 _let_58)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) (REFL :args ((not _let_53))) (REFL :args ((not _let_58))) :args (or))) (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_47 _let_50 _let_57 _let_58 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_59 false _let_68)) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_19 _let_23 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.m) false))))) :args (_let_84))) _let_85 :args (_let_56 false _let_84)) _let_29 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_19 _let_23 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.m) false))))) :args (_let_82))) _let_83 :args (_let_54 false _let_82)) _let_29 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_19 _let_23 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.m) false))))) :args (_let_80))) _let_81 :args (_let_52 false _let_80)) _let_29 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_19 _let_23 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.m) false))))) :args (_let_78))) _let_79 :args (_let_49 false _let_78)) _let_29 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_76) (SCOPE (TRUE_ELIM (TRANS (CONG _let_77 (SYMM (SYMM _let_76)) :args _let_75) (TRUE_INTRO _let_74))) :args _let_73)) :args _let_73)) :args (true _let_72)) :args ((or _let_22 (not _let_39) (not _let_44)))) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_33 _let_36 _let_43 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_45 false _let_68)) (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_15 _let_24 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.n) true))))) :args (_let_66))) _let_67 :args (_let_42 false _let_66)) _let_28 (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_15 _let_24 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.n) true))))) :args (_let_64))) _let_65 :args (_let_40 false _let_64)) _let_28 (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_15 _let_24 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.n) true))))) :args (_let_62))) _let_63 :args (_let_38 false _let_62)) _let_28 (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_15 _let_24 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.k QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element Y tptp.n) true))))) :args (_let_60))) _let_61 :args (_let_35 false _let_60)) _let_28 :args (_let_24 false _let_58 false _let_59 false _let_55 false _let_56 true _let_19 false _let_53 false _let_54 true _let_19 true _let_50 false _let_52 true _let_19 true _let_47 false _let_49 true _let_19 false _let_22 false _let_44 false _let_45 false _let_41 false _let_42 true _let_15 false _let_39 false _let_40 true _let_15 true _let_36 false _let_38 true _let_15 true _let_33 false _let_35 true _let_15)))) (let ((_let_90 (tptp.element tptp.n tptp.k))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_19 _let_22 _let_18 _let_15 _let_25 _let_91))) (let ((_let_93 (forall ((Y $$unsorted) (V $$unsorted)) (or (= tptp.m Y) (tptp.element Y tptp.m) (= tptp.m V) (= Y V) (not (tptp.element Y V)) (not (tptp.element V Y)))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_15 _let_18 _let_19 _let_21 _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_15 _let_18 _let_19 _let_91 _let_25 _let_22 (not _let_92)))) _let_28 _let_27 _let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) _let_28 :args (_let_90 true _let_15)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.k tptp.n QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element V Y) false))))) :args (_let_93)))) _let_94 :args (_let_92 false _let_93)) :args (_let_22 true _let_15 true _let_18 true _let_19 false _let_90 false _let_24 false _let_92)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.k tptp.m QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element V Y) false))))) :args (_let_30)))) _let_31 :args (_let_26 false _let_30)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_29 :args (_let_20 true _let_19)) _let_29 _let_28 _let_27 :args (false false _let_22 false _let_24 false _let_26 false _let_20 true _let_19 true _let_15 true _let_18)) :args (_let_17 _let_16 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.48  )
% 0.16/0.48  % SZS output end Proof for SYN013-1
% 0.16/0.48  % cvc5---1.0.5 exiting
% 0.16/0.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------