%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU251+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 16:30:24 EDT 2023

% Result   : Theorem 60.87s 61.40s
% Output   : Proof 60.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.22  % Problem    : SEU251+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.24  % Command    : do_cvc5 %s %d
% 0.15/0.45  % Computer : n005.cluster.edu
% 0.15/0.45  % Model    : x86_64 x86_64
% 0.15/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.45  % Memory   : 8042.1875MB
% 0.15/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.45  % CPULimit   : 300
% 0.15/0.45  % WCLimit    : 300
% 0.15/0.45  % DateTime   : Wed Aug 23 20:49:39 EDT 2023
% 0.15/0.46  % CPUTime    : 
% 0.20/0.59  %----Proving TF0_NAR, FOF, or CNF
% 60.87/61.40  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AFG6jRmz3p/cvc5---1.0.5_22011.p...
% 60.87/61.40  ------- get file name : TPTP file name is SEU251+1
% 60.87/61.40  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22011.smt2...
% 60.87/61.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 60.87/61.40  --- Run --no-e-matching --full-saturate-quant at 5...
% 60.87/61.40  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 60.87/61.40  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 60.87/61.40  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 60.87/61.40  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 60.87/61.40  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 60.87/61.40  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 60.87/61.40  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 60.87/61.40  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 60.87/61.40  --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.87/61.40  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 60.87/61.40  % SZS status Theorem for SEU251+1
% 60.87/61.40  % SZS output start Proof for SEU251+1
% 60.87/61.40  (
% 60.87/61.40  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (tptp.subset (tptp.fiber (tptp.relation_restriction C A) B) (tptp.fiber C B))))))) (let ((_let_2 (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_restriction A 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)) (=> (tptp.relation A) (forall ((B $$unsorted) (C $$unsorted)) (= (= C (tptp.fiber A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (not (= D B)) (tptp.in (tptp.ordered_pair D B) A)))))))))) (let ((_let_6 (tptp.fiber SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 _let_6))) (let ((_let_8 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (tptp.in _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_11 (not _let_10))) (let ((_let_12 (and _let_11 _let_9))) (let ((_let_13 (= _let_7 _let_12))) (let ((_let_14 (io_tptp.relation_restriction_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_15 (tptp.fiber _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_7))) (let ((_let_19 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.fiber (io_tptp.relation_restriction_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (tptp.in C (tptp.fiber SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.subset _let_15 _let_6))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (not _let_19))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_21))) (let ((_let_29 (forall ((b_A it_42_$$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (tptp.subset (tptp.fiber (io_tptp.relation_restriction_2 C b_A) B) (tptp.fiber C B)))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (tptp.subset (tptp.fiber (tptp.relation_restriction C A) B) (tptp.fiber C B))))) _let_31))))))) (let ((_let_33 (or))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_29))) (REFL :args (_let_30)) :args _let_33)) _let_32 :args (_let_30 true _let_29)))) (let ((_let_35 (_let_23))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_21 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) _let_34 :args ((not _let_21) true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_15 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_24))) _let_25 :args (_let_22 false _let_24)) :args (_let_23 true _let_21 false _let_22)) :args (_let_20 true _let_19)))) (let ((_let_37 (and _let_9 (tptp.in _let_8 (io_tptp.cartesian_product2_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_38 (tptp.in _let_8 _let_14))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (or _let_27 _let_39))) (let ((_let_41 (forall ((A $$unsorted) (b_B it_42_$$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (io_tptp.relation_restriction_2 C b_B)) (and (tptp.in A C) (tptp.in A (io_tptp.cartesian_product2_3 b_B b_B)))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (= (tptp.in A (tptp.relation_restriction C B)) (and (tptp.in A C) (tptp.in A (tptp.cartesian_product2 B B)))))) _let_41))))))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_33)) :args ((or _let_26 _let_28))) _let_34 :args (_let_26 true _let_28)))) (let ((_let_44 (and _let_11 _let_38))) (let ((_let_45 (= _let_16 _let_44))) (let ((_let_46 (forall ((D $$unsorted)) (let ((_let_1 (io_tptp.relation_restriction_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (= (tptp.in D (tptp.fiber _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (and (not (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.in (tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_1))))))) (let ((_let_47 (tptp.relation _let_14))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_880 $$unsorted) (BOUND_VARIABLE_878 $$unsorted)) (or (not (tptp.relation A)) (= (= BOUND_VARIABLE_880 (tptp.fiber A BOUND_VARIABLE_878)) (forall ((D $$unsorted)) (= (tptp.in D BOUND_VARIABLE_880) (and (not (= D BOUND_VARIABLE_878)) (tptp.in (tptp.ordered_pair D BOUND_VARIABLE_878) A))))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 (or _let_27 _let_47))) (let ((_let_54 (forall ((A $$unsorted) (b_B it_42_$$unsorted)) (or (not (tptp.relation A)) (tptp.relation (io_tptp.relation_restriction_2 A b_B)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_restriction A B)))) _let_54))))))) (let ((_let_56 (_let_46))) (let ((_let_57 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_45)) :args ((or _let_17 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_33)) :args ((or _let_16 _let_18))) _let_36 :args (_let_16 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_56) :args _let_57) :args _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_46 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_27 _let_47 (not _let_53)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((io_tptp.relation_restriction_2 A b_B)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_47 false _let_26 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_14 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52))) _let_51 :args (_let_49 false _let_50)) :args (_let_46 false _let_47 false _let_49)) :args (_let_45 false _let_46)) :args (_let_44 false _let_16 false _let_45)))) (let ((_let_59 (not _let_44))) (let ((_let_60 (not _let_9))) (let ((_let_61 (_let_12))) (let ((_let_62 (forall ((D $$unsorted)) (= (tptp.in D (tptp.fiber SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (and (not (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.in (tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))))) (let ((_let_63 (or _let_27 _let_62))) (let ((_let_64 (_let_62))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_13)) :args ((or _let_7 (not _let_12) (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args _let_57) :args _let_64))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_27 _let_62 (not _let_63)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_52))) _let_51 :args (_let_63 false _let_50)) :args (_let_62 false _let_26 false _let_63)) :args (_let_13 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_61) (CONG (REFL :args _let_61) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args (_let_60)) :args _let_33)) :args ((or _let_10 _let_60 _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 0)) :args ((or _let_11 _let_59))) _let_58 :args (_let_11 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 0)) :args ((or _let_9 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or (not _let_38) _let_37 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_38 _let_59))) _let_58 :args (_let_38 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_27 _let_39 (not _let_40)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_39 false _let_26 false _let_40)) :args (_let_37 false _let_38 false _let_39)) :args (_let_9 false _let_37)) :args (_let_12 true _let_10 false _let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_36 :args ((not _let_7) true _let_18)) :args (false false _let_13 false _let_12 true _let_7)) :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 $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_5 _let_4 (forall ((A $$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) (forall ((B $$unsorted)) (= (tptp.relation_restriction A B) (tptp.set_intersection2 A (tptp.cartesian_product2 B B)))))) true true true true true _let_3 true true true true (forall ((A $$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 $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$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))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 (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) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 60.87/61.41  )
% 60.87/61.41  % SZS output end Proof for SEU251+1
% 60.87/61.41  % cvc5---1.0.5 exiting
% 60.87/61.41  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------