%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU154+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 0.79s 0.96s
% Output   : Proof 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU154+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 16:37:05 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.79/0.96  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.iQC0bIQ9PL/cvc5---1.0.5_21627.p...
% 0.79/0.96  ------- get file name : TPTP file name is SEU154+1
% 0.79/0.96  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21627.smt2...
% 0.79/0.96  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.79/0.96  % SZS status Theorem for SEU154+1
% 0.79/0.96  % SZS output start Proof for SEU154+1
% 0.79/0.96  (
% 0.79/0.96  (let ((_let_1 (forall ((A $$unsorted)) (tptp.subset tptp.empty_set A)))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.in A B)) (tptp.disjoint (tptp.singleton A) B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_8 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 _let_8))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78))) (let ((_let_13 (= _let_9 _let_12))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (not _let_11))) (let ((_let_16 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_16))) (let ((_let_20 (tptp.disjoint _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (or _let_14 _let_20))) (let ((_let_22 (not _let_14))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.in A B) (tptp.disjoint (tptp.singleton A) B))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (ASSUME :args (_let_22)))) (let ((_let_30 (ASSUME :args (_let_12)))) (let ((_let_31 (ASSUME :args (_let_10)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_29 _let_30 _let_31) :args (_let_22 _let_10 _let_12)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_31)) (CONG (SYMM _let_30) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_29))) :args (_let_22 _let_12 _let_10)) :args ((not (and _let_22 _let_10 _let_12)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_14))) (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) :args _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 0)) _let_28 :args (_let_22 true _let_21)) (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or (not _let_9) _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_8)))) :args _let_19))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_ENUM)) :args (_let_17)))) _let_18 :args (_let_16 false _let_17)) :args (_let_13 false _let_16)) (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_9 _let_15))) (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_15))) :args (_let_15 true _let_14 false _let_12 false _let_13 false _let_9 false _let_10)))) (let ((_let_33 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 tptp.empty_set))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_9))) (let ((_let_36 (forall ((C $$unsorted)) (or (not (tptp.in C tptp.empty_set)) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_37 (tptp.subset tptp.empty_set _let_8))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (_let_1))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_36))) (let ((_let_45 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in C tptp.empty_set) false)))))) (let ((_let_46 (= _let_33 _let_11))) (let ((_let_47 (forall ((D $$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_48 (not _let_46))) (let ((_let_49 (= tptp.empty_set (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8)))) (let ((_let_50 (= _let_49 _let_47))) (let ((_let_51 (not _let_47))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8))) (let ((_let_55 (= _let_54 _let_49))) (let ((_let_56 (not _let_49))) (let ((_let_57 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (not _let_54))) (let ((_let_60 (or _let_59 _let_20))) (let ((_let_61 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint A B)) (tptp.disjoint B A))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_51))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_46)) :args ((or _let_33 _let_11 _let_46))) _let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_47))) (REFL :args (_let_48)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_50)) :args ((or _let_49 _let_51 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_55)) :args ((or _let_54 _let_56 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_20 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_28 :args ((not _let_20) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.disjoint B A) true))))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_59 true _let_20 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.disjoint A B)))) :args (_let_57))) _let_58 :args (_let_55 false _let_57)) :args (_let_56 true _let_54 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_8 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_50 false _let_5)) :args (_let_51 true _let_49 false _let_50)) :args (_let_48 true _let_47)) :args (_let_33 true _let_11 true _let_46)))) (let ((_let_65 (or _let_34 _let_10))) (let ((_let_66 (forall ((C $$unsorted)) (or (not (tptp.in C tptp.empty_set)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_67 (tptp.subset tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (_let_66))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_10 _let_34 (not _let_65)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args _let_45) :args _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or _let_66 (not _let_67) (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args (_let_67 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_40 :args (_let_68 false _let_39)) :args (_let_66 false _let_67 false _let_68)) :args (_let_65 false _let_66)) :args (_let_10 false _let_33 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_9 _let_34 (not _let_35)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args _let_45) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or (not _let_37) _let_36 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_43 :args (_let_37 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.empty_set _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_41)) _let_40 :args (_let_38 false _let_39)) :args (_let_36 false _let_37 false _let_38)) :args (_let_35 false _let_36)) :args (_let_9 false _let_33 false _let_35)) _let_32 :args (false false _let_10 false _let_9 true _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))) _let_7 _let_6 _let_5 _let_4 true true true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.79/0.96  )
% 0.79/0.96  % SZS output end Proof for SEU154+1
% 0.79/0.96  % cvc5---1.0.5 exiting
% 0.79/0.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------