%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU252+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 16:30:25 EDT 2023

% Result   : Theorem 0.17s 0.47s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU252+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.32  % Computer : n032.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Wed Aug 23 12:59:25 EDT 2023
% 0.13/0.32  % CPUTime    : 
% 0.17/0.42  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GfCNEqTlVi/cvc5---1.0.5_25103.p...
% 0.17/0.47  ------- get file name : TPTP file name is SEU252+1
% 0.17/0.47  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25103.smt2...
% 0.17/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.47  % SZS status Theorem for SEU252+1
% 0.17/0.47  % SZS output start Proof for SEU252+1
% 0.17/0.47  (
% 0.17/0.47  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (=> (tptp.reflexive B) (tptp.reflexive (tptp.relation_restriction B A)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (=> (tptp.in A (tptp.relation_field (tptp.relation_restriction C B))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (and (tptp.in A C) (tptp.in B D)))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.reflexive A) (forall ((B $$unsorted)) (=> (tptp.in B (tptp.relation_field A)) (tptp.in (tptp.ordered_pair B B) A)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (tptp.in _let_8 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_10 (= _let_9 _let_7))) (let ((_let_11 (_let_4))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (not _let_10))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_15 (and _let_14 _let_7))) (let ((_let_16 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 (tptp.relation_field _let_16)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.in A (tptp.relation_field (tptp.relation_restriction C B)))) (and (tptp.in A (tptp.relation_field C)) (tptp.in A B)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.in _let_8 _let_16))) (let ((_let_25 (or _let_18 _let_24))) (let ((_let_26 (forall ((B $$unsorted)) (let ((_let_1 (tptp.relation_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (not (tptp.in B (tptp.relation_field _let_1))) (tptp.in (tptp.ordered_pair B B) _let_1)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (tptp.reflexive _let_16))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (not _let_26))) (let ((_let_31 (tptp.relation _let_16))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_29))) (let ((_let_34 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.reflexive A) (forall ((B $$unsorted)) (or (not (tptp.in B (tptp.relation_field A))) (tptp.in (tptp.ordered_pair B B) A)))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 (or _let_20 _let_31))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_restriction A B)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.reflexive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_20 _let_41 _let_28))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.reflexive B)) (tptp.reflexive (tptp.relation_restriction B A)))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_46)) :args ((or _let_19 _let_42))) _let_48 :args (_let_19 true _let_42)))) (let ((_let_51 (_let_30))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_28 _let_30 (not _let_29)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_48 :args ((not _let_28) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_29 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_20 _let_31 (not _let_37)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_restriction A B)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_31 false _let_19 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.reflexive A)))) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_29 false _let_31 false _let_33)) :args (_let_30 true _let_28 false _let_29)) :args (_let_27 true _let_26)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 _let_15 (not _let_21)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_46)) :args ((or _let_17 _let_25))) _let_52 :args (_let_17 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in A (tptp.relation_field (tptp.relation_restriction C B))) false))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_15 false _let_19 false _let_17 false _let_21)))) (let ((_let_54 (not _let_15))) (let ((_let_55 (tptp.in _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_56 (and _let_55 _let_9))) (let ((_let_57 (not _let_14))) (let ((_let_58 (or _let_57 _let_55))) (let ((_let_59 (forall ((B $$unsorted)) (or (not (tptp.in B (tptp.relation_field SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (tptp.in (tptp.ordered_pair B B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_60 (= _let_40 _let_59))) (let ((_let_61 (or _let_20 _let_60))) (let ((_let_62 (_let_59))) (let ((_let_63 (= _let_24 _let_56))) (let ((_let_64 (not _let_56))) (let ((_let_65 (or _let_20 _let_63))) (let ((_let_66 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))))) :args _let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_9 (not _let_7) _let_13))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_24 _let_64 (not _let_63)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 1)) _let_52 :args ((not _let_24) true _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_20 _let_63 (not _let_65)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((tptp.in A (tptp.relation_restriction C B))))) :args (_let_66))) _let_67 :args (_let_65 false _let_66)) :args (_let_63 false _let_19 false _let_65)) :args (_let_64 true _let_24 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_55 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 _let_54))) _let_53 :args (_let_14 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair B B)))) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_41 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_46)) :args ((or _let_40 _let_42))) _let_48 :args (_let_40 true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_20 _let_60 (not _let_61)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args _let_36)) _let_35 :args (_let_61 false _let_34)) :args (_let_60 false _let_19 false _let_61)) :args (_let_59 false _let_40 false _let_60)) :args (_let_58 false _let_59)) :args (_let_55 false _let_14 false _let_58)) :args ((not _let_9) true _let_56 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_7 _let_54))) _let_53 :args (_let_7 false _let_15)) :args (_let_13 true _let_9 false _let_7)) _let_12 :args (false true _let_10 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_field A) (tptp.set_union2 (tptp.relation_dom A) (tptp.relation_rng A))))) (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))) true true true true true _let_6 true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$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 $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_5 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) _let_4 _let_3 _let_2 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_1 (forall ((A $$unsorted)) (= (tptp.set_intersection2 A tptp.empty_set) tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.47  )
% 0.17/0.47  % SZS output end Proof for SEU252+1
% 0.17/0.47  % cvc5---1.0.5 exiting
% 0.17/0.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------