%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 14:39:46 EDT 2023

% Result   : Theorem 0.84s 1.04s
% Output   : Proof 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 14:16:02 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.84/1.04  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WZnpFCvAyn/cvc5---1.0.5_16461.p...
% 0.84/1.04  ------- get file name : TPTP file name is SET653+3
% 0.84/1.04  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16461.smt2...
% 0.84/1.04  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.84/1.04  % SZS status Theorem for SET653+3
% 0.84/1.04  % SZS output start Proof for SET653+3
% 0.84/1.04  (
% 0.84/1.04  (let ((_let_1 (not (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (forall ((E $$unsorted)) (=> (tptp.ilf_type E (tptp.relation_type B D)) (=> (tptp.subset B C) (tptp.ilf_type E (tptp.relation_type C D)))))))))))))) (let ((_let_2 (forall ((B $$unsorted)) (tptp.ilf_type B tptp.set_type)))) (let ((_let_3 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (forall ((E $$unsorted)) (=> (tptp.ilf_type E (tptp.relation_type B D)) (=> (tptp.subset (tptp.domain_of E) C) (tptp.ilf_type E (tptp.relation_type C D))))))))))))) (let ((_let_4 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D (tptp.relation_type B C)) (and (tptp.subset (tptp.domain_of D) B) (tptp.subset (tptp.range_of D) C)))))))))) (let ((_let_5 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (and (tptp.subset B C) (tptp.subset C D)) (tptp.subset B D)))))))))) (let ((_let_6 (forall ((B $$unsorted) (BOUND_VARIABLE_983 $$unsorted) (BOUND_VARIABLE_981 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_981 tptp.set_type)) (not (tptp.subset B BOUND_VARIABLE_981)) (not (tptp.ilf_type BOUND_VARIABLE_983 tptp.set_type)) (not (tptp.subset BOUND_VARIABLE_981 BOUND_VARIABLE_983)) (tptp.subset B BOUND_VARIABLE_983))))) (let ((_let_7 (tptp.domain_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.set_type))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.set_type))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.ilf_type _let_7 tptp.set_type))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14 _let_12 _let_10 _let_8))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (_let_2))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (and _let_13 (tptp.subset (tptp.range_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_25 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.set_type))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_16 _let_28 _let_26 _let_24))) (let ((_let_30 (forall ((B $$unsorted) (BOUND_VARIABLE_1031 $$unsorted) (BOUND_VARIABLE_1029 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1029 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1031 (tptp.relation_type B BOUND_VARIABLE_1029))) (and (tptp.subset (tptp.domain_of BOUND_VARIABLE_1031) B) (tptp.subset (tptp.range_of BOUND_VARIABLE_1031) BOUND_VARIABLE_1029)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_33 (or _let_16 _let_12 _let_10 _let_28 _let_26 _let_32))) (let ((_let_34 (forall ((B $$unsorted) (BOUND_VARIABLE_1572 $$unsorted) (BOUND_VARIABLE_1570 $$unsorted) (BOUND_VARIABLE_1568 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1568 tptp.set_type)) (not (tptp.subset B BOUND_VARIABLE_1568)) (not (tptp.ilf_type BOUND_VARIABLE_1572 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1570 (tptp.relation_type B BOUND_VARIABLE_1572))) (tptp.ilf_type BOUND_VARIABLE_1570 (tptp.relation_type BOUND_VARIABLE_1568 BOUND_VARIABLE_1572)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_40 (REFL :args (_let_33)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 4)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_37)) :args ((or _let_25 _let_33))) _let_39 :args (_let_25 true _let_33)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 3)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_37)) :args ((or _let_27 _let_33))) _let_39 :args (_let_27 true _let_33)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_37)) :args ((or _let_15 _let_33))) _let_39 :args (_let_15 true _let_33)))) (let ((_let_44 (not _let_8))) (let ((_let_45 (or _let_16 _let_12 _let_28 _let_26 _let_44 _let_32))) (let ((_let_46 (forall ((B $$unsorted) (BOUND_VARIABLE_1108 $$unsorted) (BOUND_VARIABLE_1106 $$unsorted) (BOUND_VARIABLE_1104 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1104 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1108 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1106 (tptp.relation_type B BOUND_VARIABLE_1108))) (not (tptp.subset (tptp.domain_of BOUND_VARIABLE_1106) BOUND_VARIABLE_1104)) (tptp.ilf_type BOUND_VARIABLE_1106 (tptp.relation_type BOUND_VARIABLE_1104 BOUND_VARIABLE_1108)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_37)) :args ((or _let_11 _let_33))) _let_39 :args (_let_11 true _let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset B BOUND_VARIABLE_983) true)) (not (= (tptp.subset BOUND_VARIABLE_981 BOUND_VARIABLE_983) false))))) :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_16 _let_12 _let_10 _let_8 _let_14 _let_18 _let_21))) _let_43 _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 2)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_37)) :args ((or _let_9 _let_33))) _let_39 :args (_let_9 true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_16 _let_12 _let_28 _let_26 _let_32 _let_44 (not _let_45)))) _let_43 _let_48 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 5)) _let_39 :args ((not _let_32) true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.ilf_type BOUND_VARIABLE_1104 tptp.set_type) false)) (not (= (tptp.ilf_type BOUND_VARIABLE_1106 (tptp.relation_type B BOUND_VARIABLE_1108)) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_44 false _let_15 false _let_11 false _let_27 false _let_25 true _let_32 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_13 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_16 _let_28 _let_26 _let_24 (not _let_29)))) _let_43 _let_42 _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.ilf_type BOUND_VARIABLE_1031 (tptp.relation_type B BOUND_VARIABLE_1029)) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_24 false _let_15 false _let_27 false _let_25 false _let_29)) :args (_let_13 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ilf_type B tptp.set_type) true))))) :args _let_22)) _let_23 :args (_let_17 false _let_2)) :args (_let_21 false _let_15 false _let_11 false _let_9 true _let_8 false _let_13 false _let_17)) _let_20 :args (false true _let_19 false _let_6)) :args (_let_5 _let_4 _let_3 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (and (forall ((D $$unsorted)) (=> (tptp.ilf_type D (tptp.subset_type (tptp.cross_product B C))) (tptp.ilf_type D (tptp.relation_type B C)))) (forall ((E $$unsorted)) (=> (tptp.ilf_type E (tptp.relation_type B C)) (tptp.ilf_type E (tptp.subset_type (tptp.cross_product B C)))))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (exists ((D $$unsorted)) (tptp.ilf_type D (tptp.relation_type C B))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (tptp.member D B) (tptp.member D C))))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.binary_relation_type) (tptp.ilf_type (tptp.domain_of B) tptp.set_type))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.cross_product B C) tptp.set_type))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.binary_relation_type) (tptp.ilf_type (tptp.range_of B) tptp.set_type))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.ilf_type C (tptp.subset_type B)) (tptp.ilf_type C (tptp.member_type (tptp.power_set B)))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (exists ((C $$unsorted)) (tptp.ilf_type C (tptp.subset_type B))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (tptp.subset B B))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (= (tptp.member B (tptp.power_set C)) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (tptp.member D B) (tptp.member D C))))))))) (forall ((B $$unsorted)) (let ((_let_1 (tptp.power_set B))) (=> (tptp.ilf_type B tptp.set_type) (and (not (tptp.empty _let_1)) (tptp.ilf_type _let_1 tptp.set_type))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (and (not (tptp.empty C)) (tptp.ilf_type C tptp.set_type)) (= (tptp.ilf_type B (tptp.member_type C)) (tptp.member B C)))))) (forall ((B $$unsorted)) (=> (and (not (tptp.empty B)) (tptp.ilf_type B tptp.set_type)) (exists ((C $$unsorted)) (tptp.ilf_type C (tptp.member_type B))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (= (tptp.empty B) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (not (tptp.member C B))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (= (tptp.relation_like B) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (=> (tptp.member C B) (exists ((D $$unsorted)) (and (tptp.ilf_type D tptp.set_type) (exists ((E $$unsorted)) (and (tptp.ilf_type E tptp.set_type) (= C (tptp.ordered_pair D E)))))))))))) (forall ((B $$unsorted)) (=> (and (tptp.empty B) (tptp.ilf_type B tptp.set_type)) (tptp.relation_like B))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D (tptp.subset_type (tptp.cross_product B C))) (tptp.relation_like D))))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.ordered_pair B C) tptp.set_type))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.84/1.05  )
% 0.84/1.05  % SZS output end Proof for SET653+3
% 0.84/1.05  % cvc5---1.0.5 exiting
% 0.84/1.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------