%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU224+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 16:30:11 EDT 2023

% Result   : Theorem 10.46s 10.88s
% Output   : Proof 10.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU224+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 23 15:41:35 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.50  %----Proving TF0_NAR, FOF, or CNF
% 10.46/10.88  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Tuuj0LLWYR/cvc5---1.0.5_27368.p...
% 10.46/10.88  ------- get file name : TPTP file name is SEU224+1
% 10.46/10.88  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27368.smt2...
% 10.46/10.88  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.46/10.88  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.46/10.88  % SZS status Theorem for SEU224+1
% 10.46/10.88  % SZS output start Proof for SEU224+1
% 10.46/10.88  (
% 10.46/10.88  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_dom_restriction C A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom C) A)) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_dom_restriction C A))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in B A)))))))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_9 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_11 (tptp.set_intersection2 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.relation_dom _let_13))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_18 (_let_8))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 QUANTIFIERS_INST_ENUM)) :args _let_18))) _let_19 :args (_let_12 false _let_8)))) (let ((_let_21 (and _let_15 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 D) (tptp.apply _let_1 D)))))))) (let ((_let_22 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.function _let_13))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.relation _let_13))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_25 _let_23 _let_21))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1031 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1031)) (not (tptp.function BOUND_VARIABLE_1031)) (= (= B (tptp.relation_dom_restriction BOUND_VARIABLE_1031 A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1031) A)) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1031 D)))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or _let_25 _let_28))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (= _let_16 _let_38))) (let ((_let_40 (or _let_25 _let_23 _let_39))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_dom_restriction C A))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in B A))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (or))) (let ((_let_45 (not _let_41))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_43) :args (_let_45))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_41))) (REFL :args (_let_42)) :args _let_44)) _let_43 :args (_let_42 true _let_41)))) (let ((_let_47 (REFL :args (_let_40)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_44)) :args ((or _let_24 _let_40))) _let_46 :args (_let_24 true _let_40)))) (let ((_let_49 (and _let_28 _let_26))) (let ((_let_50 (or _let_25 _let_23 _let_49))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_44)) :args ((or _let_22 _let_40))) _let_46 :args (_let_22 true _let_40)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 0)) :args ((or _let_15 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_25 _let_23 _let_27 _let_29 _let_21 (not _let_30)))) _let_48 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 1)) :args ((or _let_26 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_25 _let_23 _let_49 (not _let_50)))) _let_48 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_49 false _let_24 false _let_22 false _let_50)) :args (_let_26 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_25 _let_28 (not _let_33)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_28 false _let_24 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args (_let_31)))) _let_32 :args (_let_30 false _let_31)) :args (_let_21 false _let_24 false _let_22 false _let_26 false _let_28 false _let_30)) :args (_let_15 false _let_21)))) (let ((_let_55 (and _let_36 _let_37))) (let ((_let_56 (= _let_17 _let_55))) (let ((_let_57 (not _let_16))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_40 2)) _let_46 :args ((not _let_39) true _let_40)))) (let ((_let_59 (_let_39))) (let ((_let_60 (and _let_16 _let_12 _let_15))) (let ((_let_61 (ASSUME :args (_let_16)))) (let ((_let_62 (ASSUME :args (_let_15)))) (let ((_let_63 (ASSUME :args (_let_12)))) (let ((_let_64 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (TRANS (SYMM _let_63) (SYMM _let_62)) :args (APPLY_UF tptp.in)))) (let ((_let_65 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in D _let_1))))))) (let ((_let_66 (_let_7))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (_let_65))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_66))) _let_67 :args (_let_65 false _let_7)) :args (_let_56 false _let_65)))) (let ((_let_70 (not _let_56))) (let ((_let_71 (not _let_17))) (let ((_let_72 (_let_56))) (let ((_let_73 (not _let_55))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_38)) (REORDERING (CNF_AND_POS :args (_let_55 1)) :args ((or _let_37 _let_73))) (REORDERING (CNF_AND_POS :args (_let_55 0)) :args ((or _let_36 _let_73))) (REORDERING (CNF_EQUIV_POS1 :args _let_72) :args ((or _let_55 _let_71 _let_70))) _let_69 (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_62 _let_63) (SCOPE (TRUE_ELIM (TRANS _let_64 (TRUE_INTRO _let_61))) :args (_let_16 _let_15 _let_12))) :args (_let_16 _let_12 _let_15))) :args (true _let_60)) _let_54 _let_20 (CNF_EQUIV_NEG2 :args _let_59) _let_58 :args (_let_57 false _let_37 false _let_36 false _let_55 false _let_56 false _let_17 false _let_15 false _let_12 true _let_38 true _let_39)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_59) :args ((or _let_16 _let_38 _let_39))) _let_74 _let_58 :args (_let_38 true _let_16 true _let_39)))) (let ((_let_76 (not _let_38))) (let ((_let_77 (and _let_57 _let_12 _let_15))) (let ((_let_78 (ASSUME :args (_let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_62 _let_63) (SCOPE (FALSE_ELIM (TRANS _let_64 (FALSE_INTRO _let_78))) :args (_let_57 _let_15 _let_12))) :args (_let_57 _let_12 _let_15))) :args (true _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_16))) (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (REFL :args (_let_71)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_72) :args ((or _let_17 _let_73 _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_55)) :args ((or (not _let_37) (not _let_36) _let_55))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 0)) :args ((or _let_37 _let_76))) _let_75 :args (_let_37 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_36 _let_76))) _let_75 :args (_let_36 false _let_38)) :args (_let_55 false _let_37 false _let_36)) _let_69 :args (_let_17 false _let_55 false _let_56)) _let_74 _let_54 _let_20 :args (false false _let_17 true _let_16 false _let_15 false _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_8 _let_7 true true true true _let_6 true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_4 _let_3 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.relation_empty_yielding A)) (and (tptp.relation _let_1) (tptp.relation_empty_yielding _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_intersection2 A B)))) _let_4 _let_5 (and _let_4 _let_3) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_2 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.46/10.88  )
% 10.46/10.88  % SZS output end Proof for SEU224+1
% 10.46/10.88  % cvc5---1.0.5 exiting
% 10.46/10.88  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------