%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 14:39:43 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 12:01:38 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.umwt1LSqhg/cvc5---1.0.5_23399.p...
% 0.20/0.54  ------- get file name : TPTP file name is SET642+3
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23399.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for SET642+3
% 0.20/0.54  % SZS output start Proof for SET642+3
% 0.20/0.54  (
% 0.20/0.54  (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)) (let ((_let_1 (tptp.relation_type C D))) (=> (tptp.ilf_type E _let_1) (=> (tptp.subset B E) (tptp.ilf_type B _let_1)))))))))))))) (let ((_let_2 (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (forall ((D $$unsorted)) (=> (tptp.ilf_type D tptp.set_type) (=> (tptp.subset B (tptp.cross_product C D)) (tptp.ilf_type B (tptp.relation_type C D))))))))))) (let ((_let_3 (forall ((B $$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 $$unsorted)) (=> (tptp.ilf_type E (tptp.relation_type C D)) (=> (tptp.subset B E) (tptp.subset B (tptp.cross_product C D))))))))))))) (let ((_let_4 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.set_type))) (let ((_let_5 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.set_type))) (let ((_let_6 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.set_type))) (let ((_let_7 (tptp.relation_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.cross_product SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_6))) (let ((_let_12 (not _let_5))) (let ((_let_13 (not _let_4))) (let ((_let_14 (or _let_13 _let_12 _let_11 _let_10 _let_8))) (let ((_let_15 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.ilf_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_13 _let_12 _let_11 _let_8 _let_18 _let_16))) (let ((_let_20 (forall ((B $$unsorted) (BOUND_VARIABLE_1468 $$unsorted) (BOUND_VARIABLE_1466 $$unsorted) (BOUND_VARIABLE_1464 $$unsorted)) (let ((_let_1 (tptp.relation_type BOUND_VARIABLE_1464 BOUND_VARIABLE_1468))) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1464 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1468 tptp.set_type)) (tptp.ilf_type B _let_1) (not (tptp.ilf_type BOUND_VARIABLE_1466 _let_1)) (not (tptp.subset B BOUND_VARIABLE_1466))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_4))) :args _let_23)) :args ((or _let_4 _let_19))) _let_25 :args (_let_4 true _let_19)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_5))) :args _let_23)) :args ((or _let_5 _let_19))) _let_25 :args (_let_5 true _let_19)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))) :args _let_23)) :args ((or _let_6 _let_19))) _let_25 :args (_let_6 true _let_19)))) (let ((_let_30 (forall ((B $$unsorted) (BOUND_VARIABLE_1017 $$unsorted) (BOUND_VARIABLE_1015 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1015 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_1017 tptp.set_type)) (not (tptp.subset B (tptp.cross_product BOUND_VARIABLE_1015 BOUND_VARIABLE_1017))) (tptp.ilf_type B (tptp.relation_type BOUND_VARIABLE_1015 BOUND_VARIABLE_1017)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or _let_13 _let_12 _let_11 _let_9 _let_18 _let_16))) (let ((_let_33 (forall ((B $$unsorted) (BOUND_VARIABLE_965 $$unsorted) (BOUND_VARIABLE_963 $$unsorted) (BOUND_VARIABLE_961 $$unsorted)) (or (not (tptp.ilf_type B tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_961 tptp.set_type)) (not (tptp.ilf_type BOUND_VARIABLE_965 tptp.set_type)) (tptp.subset B (tptp.cross_product BOUND_VARIABLE_961 BOUND_VARIABLE_965)) (not (tptp.ilf_type BOUND_VARIABLE_963 (tptp.relation_type BOUND_VARIABLE_961 BOUND_VARIABLE_965))) (not (tptp.subset B BOUND_VARIABLE_963)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_12 _let_11 _let_8 _let_10 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_13 _let_12 _let_11 _let_18 _let_16 _let_9 (not _let_32)))) _let_27 _let_28 _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 4)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 5)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_23)) :args ((or _let_15 _let_19))) _let_25 :args (_let_15 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :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 B tptp.set_type) false)) (not (= (tptp.ilf_type BOUND_VARIABLE_963 (tptp.relation_type BOUND_VARIABLE_961 BOUND_VARIABLE_965)) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_9 false _let_4 false _let_5 false _let_6 false _let_17 false _let_15 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.ilf_type B (tptp.relation_type BOUND_VARIABLE_1015 BOUND_VARIABLE_1017)) true))))) :args (_let_30))) _let_31 :args (_let_14 false _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 3)) _let_25 :args ((not _let_8) true _let_19)) _let_29 _let_28 _let_27 :args (false false _let_9 false _let_14 true _let_8 false _let_6 false _let_5 false _let_4)) :args (_let_3 _let_2 (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 $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.cross_product B C) tptp.set_type))))) (forall ((B $$unsorted)) (=> (tptp.ilf_type B tptp.set_type) (forall ((C $$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 $$unsorted)) (=> (tptp.ilf_type C tptp.set_type) (tptp.ilf_type (tptp.ordered_pair B C) tptp.set_type))))) (forall ((B $$unsorted)) (tptp.ilf_type B tptp.set_type)) _let_1 true)))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.55  % SZS output end Proof for SET642+3
% 0.20/0.55  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------