%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET934+1 : TPTP v8.1.2. Released v3.2.0.
% 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 14:41:06 EDT 2023

% Result   : Theorem 30.22s 30.41s
% Output   : Proof 30.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET934+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % 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 16:30:02 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 30.22/30.41  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jL3EZP8KMu/cvc5---1.0.5_28664.p...
% 30.22/30.41  ------- get file name : TPTP file name is SET934+1
% 30.22/30.41  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28664.smt2...
% 30.22/30.41  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.22/30.41  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.22/30.41  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.22/30.41  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.22/30.41  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.22/30.41  % SZS status Theorem for SET934+1
% 30.22/30.41  % SZS output start Proof for SET934+1
% 30.22/30.41  (
% 30.22/30.41  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset (tptp.set_union2 (tptp.powerset A) (tptp.powerset B)) (tptp.powerset (tptp.set_union2 A B)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A (tptp.set_union2 A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))))) (let ((_let_9 (forall ((C $$unsorted)) (= (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_10 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (_let_7))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (not _let_13))) (let ((_let_17 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_17))) (let ((_let_19 (or _let_11 _let_18))) (let ((_let_20 (tptp.set_union2 _let_10 _let_17))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (forall ((D $$unsorted)) (let ((_let_1 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.in D (tptp.set_union2 _let_2 _let_1)) (or (tptp.in D _let_2) (tptp.in D _let_1)))))))) (let ((_let_24 (_let_6))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (_let_23))) (let ((_let_27 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_28 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (tptp.powerset _let_28))) (let ((_let_30 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_29))) (let ((_let_31 (not _let_21))) (let ((_let_32 (or _let_31 _let_30))) (let ((_let_33 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.set_union2 (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (tptp.in C (tptp.powerset (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (tptp.subset _let_20 _let_29))) (let ((_let_36 (= _let_35 _let_33))) (let ((_let_37 (not _let_33))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (not _let_35))) (let ((_let_41 (_let_2))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (or))) (let ((_let_44 (_let_37))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_35 _let_37 (not _let_36)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_40)) :args _let_43)) _let_42 :args (_let_40 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_20 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_38))) _let_39 :args (_let_36 false _let_38)) :args (_let_37 true _let_35 false _let_36)) :args (_let_34 true _let_33)))) (let ((_let_46 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_47 (= _let_46 _let_18))) (let ((_let_48 (not _let_18))) (let ((_let_49 (forall ((C $$unsorted)) (= (tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_50 (_let_49))) (let ((_let_51 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_28))) (let ((_let_52 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_28))) (let ((_let_53 (not _let_52))) (let ((_let_54 (not _let_46))) (let ((_let_55 (or _let_54 _let_53 _let_51))) (let ((_let_56 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset B C)) (tptp.subset A C))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_59))) (let ((_let_61 (= _let_28 _let_59))) (let ((_let_62 (_let_3))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.set_union2 A B)))) (let ((_let_65 (_let_8))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (and _let_61 _let_60))) (let ((_let_68 (ASSUME :args (_let_60)))) (let ((_let_69 (ASSUME :args (_let_61)))) (let ((_let_70 (= _let_30 _let_51))) (let ((_let_71 (not _let_51))) (let ((_let_72 (forall ((C $$unsorted)) (let ((_let_1 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.subset C _let_1) (tptp.in C (tptp.powerset _let_1))))))) (let ((_let_73 (_let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_30 _let_71 (not _let_70)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 1)) _let_45 :args ((not _let_30) true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args _let_27) :args _let_73))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_28 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_14))) _let_15 :args (_let_72 false _let_7)) :args (_let_70 false _let_72)) :args (_let_71 true _let_30 false _let_70)))) (let ((_let_75 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_28))) (let ((_let_76 (not _let_75))) (let ((_let_77 (not _let_12))) (let ((_let_78 (or _let_77 _let_76 _let_51))) (let ((_let_79 (_let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args _let_27) :args _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_13)) :args ((or _let_12 (not _let_11) _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_76 _let_51 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_75 false _let_3)) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_28 QUANTIFIERS_INST_CBQI_PROP)) :args _let_58)) _let_57 :args (_let_78 false _let_56)) :args (_let_77 false _let_75 true _let_51 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_11 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_46 _let_48 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_51 _let_53 _let_54 (not _let_55)))) _let_74 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_67)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_69) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM (SYMM _let_69)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_68))) :args (_let_60 _let_61))) :args (_let_61 _let_60))) :args (true _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_union2 A B)))) :args _let_65)) _let_66 :args (_let_61 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_62)) _let_63 :args (_let_60 false _let_3)) :args (_let_52 false _let_61 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_28 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset A C) true)) (not (= (tptp.subset B C) false))))) :args _let_58)) _let_57 :args (_let_55 false _let_56)) :args (_let_54 true _let_51 false _let_52 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) :args _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_14))) _let_15 :args (_let_49 false _let_7)) :args (_let_47 false _let_49)) :args (_let_48 true _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_31 _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_21))) :args _let_43)) :args ((or _let_21 _let_32))) _let_45 :args (_let_21 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args _let_27) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_10 _let_17 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_24))) _let_25 :args (_let_23 false _let_6)) :args (_let_22 false _let_23)) :args (_let_19 false _let_21 false _let_22)) :args (_let_11 true _let_18 false _let_19)) :args (_let_16 true _let_12 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_14))) _let_15 :args (_let_9 false _let_7)) :args (false true _let_13 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.22/30.42  )
% 30.22/30.42  % SZS output end Proof for SET934+1
% 30.28/30.42  % cvc5---1.0.5 exiting
% 30.28/30.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------