%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 16:29:20 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU120+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 16:39:53 EDT 2023
% 0.20/0.35  % CPUTime    : 
% 0.20/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.S1GHN0pW9K/cvc5---1.0.5_28170.p...
% 0.20/0.53  ------- get file name : TPTP file name is SEU120+2
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28170.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for SEU120+2
% 0.20/0.53  % SZS output start Proof for SEU120+2
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.in C (tptp.set_intersection2 A B))) _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (and (tptp.in C A) (tptp.in C B)))))) (not (and (exists ((C $$unsorted)) (and (tptp.in C A) (tptp.in C B))) _let_1))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_intersection2 A B) tptp.empty_set))))) (let ((_let_5 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (tptp.set_intersection2 _let_5 _let_5))) (let ((_let_7 (= _let_5 _let_6))) (let ((_let_8 (= tptp.empty_set _let_5))) (let ((_let_9 (= tptp.empty_set _let_6))) (let ((_let_10 (forall ((A $$unsorted)) (= A (tptp.set_intersection2 A A))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (_let_10))) (let ((_let_13 ((tptp.set_intersection2 A A)))) (let ((_let_14 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (= _let_14 _let_8))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= tptp.empty_set (tptp.set_intersection2 A B)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (_let_16))) (let ((_let_19 ((tptp.disjoint A B)))) (let ((_let_20 (not _let_14))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((BOUND_VARIABLE_821 $$unsorted) (BOUND_VARIABLE_823 $$unsorted) (BOUND_VARIABLE_835 $$unsorted)) (or (not (tptp.in BOUND_VARIABLE_835 (tptp.set_intersection2 BOUND_VARIABLE_821 BOUND_VARIABLE_823))) (not (tptp.disjoint BOUND_VARIABLE_821 BOUND_VARIABLE_823)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (forall ((BOUND_VARIABLE_808 $$unsorted) (BOUND_VARIABLE_810 $$unsorted)) (or (tptp.disjoint BOUND_VARIABLE_808 BOUND_VARIABLE_810) (not (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 BOUND_VARIABLE_808 BOUND_VARIABLE_810))))))))) (let ((_let_27 (not _let_24))) (let ((_let_28 (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (= tptp.empty_set _let_32))) (let ((_let_34 (= _let_30 _let_33))) (let ((_let_35 (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.disjoint _let_32 _let_32))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (tptp.set_intersection2 _let_32 _let_32))) (let ((_let_40 (= tptp.empty_set _let_39))) (let ((_let_41 (= _let_37 _let_40))) (let ((_let_42 (= _let_32 _let_39))) (let ((_let_43 (or))) (let ((_let_44 (not _let_33))) (let ((_let_45 (forall ((BOUND_VARIABLE_751 $$unsorted) (BOUND_VARIABLE_753 $$unsorted)) (or (tptp.disjoint BOUND_VARIABLE_751 BOUND_VARIABLE_753) (not (forall ((C $$unsorted)) (or (not (tptp.in C BOUND_VARIABLE_751)) (not (tptp.in C BOUND_VARIABLE_753))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (not _let_42))) (let ((_let_49 (not _let_40))) (let ((_let_50 (and _let_44 _let_42))) (let ((_let_51 (_let_44 _let_42))) (let ((_let_52 (ASSUME :args (_let_44)))) (let ((_let_53 (ASSUME :args (_let_42)))) (let ((_let_54 (not _let_26))) (let ((_let_55 (_let_54))) (let ((_let_56 (_let_27))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_24))) (REFL :args (_let_25)) :args _let_43)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_26))) (REFL :args ((not _let_31))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_53) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.empty_set)) (SYMM _let_53) :args (=)) (FALSE_INTRO _let_52))) :args _let_51)) :args _let_51)) :args (true _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_33))) (REFL :args (_let_48)) (REFL :args (_let_49)) :args _let_43)) :args ((or _let_33 _let_49 _let_48))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_13)) :args _let_12)) _let_11 :args (_let_42 false _let_10)) (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or (not _let_37) _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_32 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_41 false _let_16)) (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (_let_32 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.disjoint BOUND_VARIABLE_751 BOUND_VARIABLE_753) true))))) :args _let_47))) (AND_ELIM _let_46 :args (0)) :args (_let_38 false _let_45)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_28 (= C C)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_30 _let_44 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_34 false _let_16)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_43)) :args ((or _let_28 _let_31))) (CNF_OR_NEG :args (_let_31 0)) :args (_let_31 false _let_42 false _let_40 false _let_41 false _let_37 false _let_38 false _let_35 true _let_33 false _let_34 false _let_28 true _let_30)) :args (_let_26 false _let_31)) :args (_let_27 false _let_26)) :args (_let_25 true _let_24)))) (let ((_let_58 (REFL :args (_let_23)))) (let ((_let_59 (tptp.disjoint _let_5 _let_5))) (let ((_let_60 (= _let_59 _let_9))) (let ((_let_61 (not _let_9))) (let ((_let_62 (not _let_59))) (let ((_let_63 (or _let_62 _let_22 _let_22))) (let ((_let_64 (forall ((BOUND_VARIABLE_766 $$unsorted) (BOUND_VARIABLE_768 $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (or (not (tptp.disjoint BOUND_VARIABLE_766 BOUND_VARIABLE_768)) (not (tptp.in BOUND_VARIABLE_782 BOUND_VARIABLE_766)) (not (tptp.in BOUND_VARIABLE_782 BOUND_VARIABLE_768)))))) (let ((_let_65 (_let_64))) (let ((_let_66 (and _let_8 _let_7))) (let ((_let_67 (ASSUME :args (_let_7)))) (let ((_let_68 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_68) (SCOPE (TRANS (SYMM (SYMM _let_68)) (SYMM (SYMM _let_67))) :args (_let_7 _let_8))) :args (_let_8 _let_7))) :args (true _let_66)) :args ((or (not _let_8) _let_9 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_59 _let_61 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_63))) :args ((or _let_22 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_43)) :args ((or _let_21 _let_23))) _let_57 :args (_let_21 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (_let_5 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in BOUND_VARIABLE_782 BOUND_VARIABLE_766) false)) (not (= (tptp.in BOUND_VARIABLE_782 BOUND_VARIABLE_768) false))))) :args _let_65)) (AND_ELIM _let_46 :args (1)) :args (_let_63 false _let_64)) :args (_let_62 false _let_21 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_5 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_60 false _let_16)) :args (_let_61 true _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_20 _let_8 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_14))) :args _let_43)) :args ((or _let_14 _let_23))) _let_57 :args (_let_14 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_15 false _let_16)) :args (_let_8 false _let_14 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_13)) :args _let_12)) _let_11 :args (_let_7 false _let_10)) :args (false true _let_9 false _let_8 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))) _let_4 true true (tptp.empty tptp.empty_set) _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for SEU120+2
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------