%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:29:37 EDT 2023

% Result   : Theorem 0.20s 0.69s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU153+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 12:32:21 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.69  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.a9D161jNHB/cvc5---1.0.5_27728.p...
% 0.20/0.69  ------- get file name : TPTP file name is SEU153+1
% 0.20/0.69  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27728.smt2...
% 0.20/0.69  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.69  % SZS status Theorem for SEU153+1
% 0.20/0.69  % SZS output start Proof for SEU153+1
% 0.20/0.69  (
% 0.20/0.69  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.disjoint (tptp.singleton A) B) (tptp.in A B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_5 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_8 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_10 (= tptp.empty_set _let_8))) (let ((_let_11 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_12 (not _let_7))) (let ((_let_13 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (_let_13))) (let ((_let_16 (_let_11))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_15))) _let_14 :args (_let_11 false _let_13)) :args (_let_12 false _let_11)))) (let ((_let_18 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_ENUM)) :args (_let_19)))) _let_20 :args (_let_18 false _let_19)))) (let ((_let_22 (_let_18))) (let ((_let_23 ((tptp.in C _let_8)))) (let ((_let_24 (ASSUME :args _let_22))) (let ((_let_25 (forall ((B $$unsorted)) (not (tptp.in B (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_26 (= _let_10 _let_25))) (let ((_let_27 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_8))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_29 (= _let_27 _let_28))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 tptp.empty_set))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (and _let_32 _let_27))) (let ((_let_34 (= _let_30 _let_33))) (let ((_let_35 (not _let_27))) (let ((_let_36 (not _let_28))) (let ((_let_37 (not _let_30))) (let ((_let_38 (or))) (let ((_let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_7))))) (let ((_let_40 (and _let_12 _let_28))) (let ((_let_41 (_let_12 _let_28))) (let ((_let_42 (ASSUME :args (_let_12)))) (let ((_let_43 (FALSE_INTRO _let_42))) (let ((_let_44 (APPLY_UF tptp.in))) (let ((_let_45 (ASSUME :args (_let_28)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (not _let_31))) (let ((_let_48 (tptp.disjoint _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint (tptp.singleton A) B)) (not (tptp.in A B)))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (not _let_51))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_53) :args (_let_54))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_51))) (REFL :args (_let_52)) :args _let_38)) _let_53 :args (_let_52 true _let_51)))) (let ((_let_56 (REFL :args (_let_50)))) (let ((_let_57 (and _let_31 _let_28))) (let ((_let_58 (_let_31 _let_28))) (let ((_let_59 (ASSUME :args (_let_31)))) (let ((_let_60 (forall ((D $$unsorted)) (= (tptp.in D tptp.empty_set) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.in D (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_61 (= tptp.empty_set (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8)))) (let ((_let_62 (= _let_61 _let_60))) (let ((_let_63 (_let_4))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_66 (= _let_65 _let_61))) (let ((_let_67 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (or _let_49 _let_65))) (let ((_let_70 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint A B)) (tptp.disjoint B A))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_60))) (let ((_let_73 (not _let_25))) (let ((_let_74 (_let_73))) (let ((_let_75 (ASSUME :args (_let_10)))) (let ((_let_76 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_75 _let_76) :args (_let_10 _let_12 _let_9)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_76)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_75) :args _let_44) _let_43)) :args (_let_12 _let_10 _let_9)) :args ((not (and _let_10 _let_12 _let_9)) SB_LITERAL))) (CONG (REFL :args ((not _let_10))) _let_39 (REFL :args ((not _let_9))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_10 _let_73 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74) (REWRITE :args ((=> _let_73 (not _let_35)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_25))) (REFL :args (_let_27)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_33)) :args ((or _let_35 _let_33 (not _let_32)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_30 (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D tptp.empty_set)))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_62)) :args ((or (not _let_61) _let_60 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_66)) :args ((or (not _let_65) _let_61 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_49 _let_65 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_38)) :args ((or _let_48 _let_50))) _let_55 :args (_let_48 true _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.disjoint A B) false))))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_65 false _let_48 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.disjoint A B)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_61 false _let_65 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_63)) _let_64 :args (_let_62 false _let_4)) :args (_let_60 false _let_61 false _let_62)) :args (_let_34 false _let_60)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_45) (SCOPE (TRUE_ELIM (TRANS (CONG _let_46 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_44) (TRUE_INTRO _let_59))) :args _let_58)) :args _let_58)) :args (true _let_57)) :args ((or _let_47 _let_32 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 1)) (CONG _let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_31))) :args _let_38)) :args ((or _let_31 _let_50))) _let_55 :args (_let_31 true _let_50)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_45) (SCOPE (FALSE_ELIM (TRANS (CONG _let_46 (REFL :args (tptp.empty_set)) :args _let_44) _let_43)) :args _let_41)) :args _let_41)) :args (true _let_40)) (CONG _let_39 (REFL :args (_let_36)) (REFL :args (_let_37)) :args _let_38)) :args ((or _let_7 _let_37 _let_36))) _let_17 (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_35 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22))) _let_21 :args (_let_29 false _let_18)) :args (_let_35 true _let_33 false _let_34 false _let_32 false _let_31 true _let_30 true _let_7 false _let_28 false _let_29)) :args (_let_25 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_15))) _let_14 :args (_let_26 false _let_13)) :args (_let_10 false _let_25 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22))) :args ((or _let_9 (not _let_18)))) _let_21 :args (_let_9 false _let_18)) _let_17 :args (false false _let_10 false _let_9 true _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_6 _let_5 _let_4 _let_3 true true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.70  )
% 0.20/0.70  % SZS output end Proof for SEU153+1
% 0.20/0.70  % cvc5---1.0.5 exiting
% 0.20/0.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------