%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET347+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 14:38:34 EDT 2023

% Result   : Theorem 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET347+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n028.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 15:22:22 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ghjbJDYnLV/cvc5---1.0.5_28976.p...
% 0.21/0.52  ------- get file name : TPTP file name is SET347+4
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28976.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52  % SZS status Theorem for SET347+4
% 0.21/0.52  % SZS output start Proof for SET347+4
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (tptp.sum tptp.empty_set))) (let ((_let_2 (tptp.equal_set _let_1 tptp.empty_set))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.empty_set))) (let ((_let_9 (_let_5))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (or _let_11 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_13 (forall ((Y $$unsorted)) (or (not (tptp.member Y tptp.empty_set)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y)))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (not _let_13))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_1))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y A)) (not (tptp.member X Y))))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_16))) (let ((_let_21 (or _let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set)))) (let ((_let_22 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.sum tptp.empty_set))) (tptp.member X tptp.empty_set))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.subset _let_1 tptp.empty_set))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (not _let_22))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((tptp.subset A B)))) (let ((_let_31 (tptp.subset tptp.empty_set _let_1))) (let ((_let_32 (and _let_24 _let_31))) (let ((_let_33 (forall ((X $$unsorted)) (or (not (tptp.member X tptp.empty_set)) (tptp.member X (tptp.sum tptp.empty_set)))))) (let ((_let_34 (= _let_31 _let_33))) (let ((_let_35 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.empty_set))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_1)))) (let ((_let_38 ((not (= (tptp.member X tptp.empty_set) false))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_33))) (let ((_let_41 (_let_40))) (let ((_let_42 (= _let_2 _let_32))) (let ((_let_43 (not _let_32))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (_let_26))) (let ((_let_47 (_let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))) :args _let_39)) :args ((or _let_8 _let_12))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) (REFL :args (_let_14)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or _let_20 _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) :args _let_39)) :args ((or _let_16 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 _let_26 (not _let_25)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_2 _let_43 (not _let_42)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_1 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_44)) _let_45 :args (_let_42 false _let_6)) :args (_let_43 true _let_2 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_31 _let_40 (not _let_34)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_33))) (REFL :args ((not _let_37))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_39)) :args ((or _let_35 _let_37))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_9)) _let_10 :args (_let_36 false _let_5)) :args (_let_37 true _let_35)) :args (_let_33 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.empty_set _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_34 false _let_27)) :args (_let_31 false _let_33 false _let_34)) :args ((not _let_24) true _let_32 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_1 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_25 false _let_27)) :args (_let_26 true _let_24 false _let_25)) :args (_let_23 true _let_22)) :args (_let_16 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set QUANTIFIERS_INST_E_MATCHING ((tptp.member X (tptp.sum A))))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_15 false _let_16 false _let_17)) :args (_let_14 true _let_13)) :args (_let_8 true _let_12)) _let_10 :args (false false _let_8 false _let_5)) :args (_let_7 _let_6 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) _let_5 (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))) _let_4 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for SET347+4
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------