%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% 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 14:40:59 EDT 2023

% Result   : Theorem 10.44s 10.66s
% Output   : Proof 10.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% 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 16:22:37 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 10.44/10.66  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KWek0sPtJg/cvc5---1.0.5_2525.p...
% 10.44/10.66  ------- get file name : TPTP file name is SET916+1
% 10.44/10.66  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2525.smt2...
% 10.44/10.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.44/10.66  % SZS status Theorem for SET916+1
% 10.44/10.66  % SZS output start Proof for SET916+1
% 10.44/10.66  (
% 10.44/10.66  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.in A B)) (not (tptp.in C B)) (not (tptp.disjoint (tptp.unordered_pair A C) B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.disjoint A B))) (and (not (and (not _let_1) (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 A B)))))) (not (and (exists ((C $$unsorted)) (tptp.in C (tptp.set_intersection2 A B))) _let_1))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_10 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.disjoint _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (or _let_12 _let_7 _let_11))) (let ((_let_14 (not _let_7))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.in A B) (tptp.in C B) (tptp.disjoint (tptp.unordered_pair A C) B))))) (let ((_let_16 (not _let_13))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_10))) (let ((_let_22 (and _let_21 _let_8))) (let ((_let_23 (tptp.set_intersection2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_23))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (forall ((D $$unsorted)) (let ((_let_1 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (= (and (tptp.in D _let_1) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.set_intersection2 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_27 (_let_4))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (_let_26))) (let ((_let_30 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_31 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_30))) (let ((_let_32 (= _let_30 _let_23))) (let ((_let_33 (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_36 (or _let_35 _let_34))) (let ((_let_37 (forall ((BOUND_VARIABLE_733 $$unsorted) (BOUND_VARIABLE_735 $$unsorted)) (or (tptp.disjoint BOUND_VARIABLE_733 BOUND_VARIABLE_735) (not (forall ((C $$unsorted)) (not (tptp.in C (tptp.set_intersection2 BOUND_VARIABLE_733 BOUND_VARIABLE_735))))))))) (let ((_let_38 (_let_37))) (let ((_let_39 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10 QUANTIFIERS_INST_ENUM))) (let ((_let_40 (not _let_35))) (let ((_let_41 (or _let_40 _let_11))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.disjoint A B)) (tptp.disjoint B A))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_31))) (let ((_let_45 (_let_34))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (and _let_32 _let_31))) (let ((_let_49 (ASSUME :args _let_44))) (let ((_let_50 (APPLY_UF tptp.in))) (let ((_let_51 (ASSUME :args (_let_32)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_22 (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_51) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (SYMM _let_51) :args _let_50) (TRUE_INTRO _let_49))) :args (_let_31 _let_32))) :args (_let_32 _let_31))) :args (true _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_39) :args _let_46)) _let_47 :args (_let_32 false _let_6)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45) (REWRITE :args ((=> _let_34 (not (not _let_31))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) (REFL :args _let_44) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_34 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_11 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 2)) _let_20 :args ((not _let_11) true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_39) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_40 true _let_11 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args _let_39) :args _let_38)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_36 false _let_37)) :args (_let_34 true _let_35 false _let_36)) :args (_let_31 true _let_33)) :args (_let_24 false _let_32 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_27))) _let_28 :args (_let_26 false _let_4)) :args (_let_25 false _let_26)) :args (_let_22 false _let_24 false _let_25)))) (let ((_let_53 (not _let_22))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_8 _let_53))) _let_52 :args (_let_8 false _let_22)))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_56 (or _let_55 _let_9))) (let ((_let_57 (= _let_21 _let_56))) (let ((_let_58 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_58))) (let ((_let_62 (not _let_55))) (let ((_let_63 (not _let_12))) (let ((_let_64 (REFL :args ((not _let_8))))) (let ((_let_65 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_66 (ASSUME :args (_let_8)))) (let ((_let_67 (TRUE_INTRO _let_66))) (let ((_let_68 (ASSUME :args (_let_9)))) (let ((_let_69 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_68 _let_69) :args (_let_14 _let_9 _let_8)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_69)) (CONG (SYMM (SYMM _let_68)) _let_65 :args _let_50) _let_67)) :args (_let_8 _let_9 _let_14)) :args ((not (and _let_14 _let_9 _let_8)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_7))) (REFL :args ((not _let_9))) _let_64 :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_9 (not _let_56)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_67) (CONG (SYMM (ASSUME :args (_let_55))) _let_65 :args _let_50) (FALSE_INTRO (ASSUME :args (_let_63))))) :args (_let_63 _let_55 _let_8))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_12))) (REFL :args (_let_62)) _let_64 :args _let_18)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 0)) _let_20 :args (_let_63 true _let_13)) _let_54 :args (_let_62 true _let_12 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_56 (not _let_21) (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_53))) _let_52 :args (_let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_ENUM)) :args _let_61))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_58)) :args (_let_56 false _let_21 false _let_57)) :args (_let_9 true _let_55 false _let_56)) _let_54 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_20 :args (_let_14 true _let_13)) :args (false false _let_9 false _let_8 true _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.44/10.66  )
% 10.44/10.66  % SZS output end Proof for SET916+1
% 10.44/10.66  % cvc5---1.0.5 exiting
% 10.44/10.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------