%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU137+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:29:28 EDT 2023

% Result   : Theorem 14.19s 14.50s
% Output   : Proof 14.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU137+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 23 18:56:36 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 14.19/14.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dPbdxN7hmO/cvc5---1.0.5_4503.p...
% 14.19/14.50  ------- get file name : TPTP file name is SEU137+1
% 14.19/14.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4503.smt2...
% 14.19/14.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 14.19/14.50  --- Run --no-e-matching --full-saturate-quant at 5...
% 14.19/14.50  % SZS status Theorem for SEU137+1
% 14.19/14.50  % SZS output start Proof for SEU137+1
% 14.19/14.50  (
% 14.19/14.50  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset A B) (= B (tptp.set_union2 A (tptp.set_difference B A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_difference A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (not (tptp.in D B))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_5 (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_6 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (= _let_11 _let_6))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16))) (let ((_let_18 (not _let_11))) (let ((_let_19 (or _let_18 _let_17))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (= B (tptp.set_union2 A (tptp.set_difference B A))))))) (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 (not _let_10))) (let ((_let_27 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 _let_15))) (let ((_let_28 (or _let_8 _let_27))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 _let_16))) (let ((_let_30 (= _let_29 _let_28))) (let ((_let_31 (forall ((D $$unsorted)) (let ((_let_1 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in D _let_1)) (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_1))))))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_31))) (let ((_let_35 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args _let_35) :args _let_34))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_32))) _let_33 :args (_let_31 false _let_5)) :args (_let_30 false _let_31)))) (let ((_let_37 (= _let_7 _let_29))) (let ((_let_38 (forall ((C $$unsorted)) (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (not _let_38))) (let ((_let_41 (or _let_40 _let_17))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B)))) (= A B))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_38))) (REFL :args (_let_39)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_17 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) _let_25 :args ((not _let_17) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16 QUANTIFIERS_INST_ENUM)) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 true _let_17 false _let_41)) :args (_let_39 true _let_38)))) (let ((_let_46 (and _let_7 _let_9))) (let ((_let_47 (= _let_27 _let_46))) (let ((_let_48 (not _let_7))) (let ((_let_49 (_let_37))) (let ((_let_50 (not _let_30))) (let ((_let_51 (not _let_28))) (let ((_let_52 (_let_30))) (let ((_let_53 (not _let_27))) (let ((_let_54 (_let_46))) (let ((_let_55 (forall ((D $$unsorted)) (= (tptp.in D (tptp.set_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_56 (_let_3))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_55))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args _let_35) :args _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56))) _let_57 :args (_let_55 false _let_3)) :args (_let_47 false _let_55)))) (let ((_let_60 (not _let_47))) (let ((_let_61 (not _let_46))) (let ((_let_62 (_let_47))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_62) :args ((or _let_27 _let_61 _let_60))) _let_59 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_54) (CONG (REFL :args _let_54) (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_23)) :args ((or _let_48 _let_8 _let_46))) (REORDERING (CNF_OR_NEG :args (_let_28 1)) :args ((or _let_53 _let_28))) (REORDERING (CNF_OR_NEG :args (_let_28 0)) :args ((or _let_9 _let_28))) (REORDERING (CNF_EQUIV_POS2 :args _let_52) :args ((or _let_29 _let_51 _let_50))) _let_36 (CNF_EQUIV_NEG2 :args _let_49) _let_45 :args (_let_48 false _let_47 false _let_46 true _let_27 true _let_8 true _let_28 false _let_30 true _let_29 true _let_37)))) (let ((_let_64 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args _let_35) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_7 _let_9 _let_26))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_8 _let_51))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_62) :args ((or _let_53 _let_46 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_46 0)) :args ((or _let_7 _let_61))) _let_63 :args (_let_61 true _let_7)) _let_59 :args (_let_53 true _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_52) :args ((or (not _let_29) _let_28 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_49) :args ((or _let_7 _let_29 _let_37))) _let_63 _let_45 :args (_let_29 true _let_7 true _let_37)) _let_36 :args (_let_28 false _let_29 false _let_30)) :args (_let_8 true _let_27 false _let_28)) :args (_let_26 true _let_7 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or _let_18 _let_6 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_11))) :args _let_23)) :args ((or _let_11 _let_19))) _let_25 :args (_let_11 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args (_let_13))) _let_14 :args (_let_12 false _let_13)) :args (_let_6 false _let_11 false _let_12)) :args (false true _let_10 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_5 _let_4 _let_3 true true true (tptp.empty tptp.empty_set) (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)) (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) _let_2 (forall ((A $$unsorted)) (= (tptp.set_difference A tptp.empty_set) A)) _let_1 (forall ((A $$unsorted)) (= (tptp.set_difference tptp.empty_set A) tptp.empty_set)) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.19/14.51  )
% 14.19/14.51  % SZS output end Proof for SEU137+1
% 14.19/14.51  % cvc5---1.0.5 exiting
% 14.19/14.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------