%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 16:29:04 EDT 2023

% Result   : Theorem 0.19s 0.53s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 00:30:39 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BXb3B3r2Bo/cvc5---1.0.5_12362.p...
% 0.19/0.53  ------- get file name : TPTP file name is SEU020+1
% 0.19/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12362.smt2...
% 0.19/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.53  % SZS status Theorem for SEU020+1
% 0.19/0.53  % SZS output start Proof for SEU020+1
% 0.19/0.53  (
% 0.19/0.53  (let ((_let_1 (forall ((A $$unsorted)) (let ((_let_1 (tptp.identity_relation A))) (and (= (tptp.relation_dom _let_1) A) (= (tptp.relation_rng _let_1) A)))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (exists ((B $$unsorted)) (and (tptp.relation B) (tptp.function B) (= (tptp.relation_composition A B) (tptp.identity_relation (tptp.relation_dom A))))) (tptp.one_to_one A))))))) (let ((_let_3 (forall ((A $$unsorted)) (tptp.one_to_one (tptp.identity_relation A))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one (tptp.relation_composition B A)) (tptp.subset (tptp.relation_rng B) (tptp.relation_dom A))) (tptp.one_to_one B)))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (= (tptp.relation_dom (tptp.relation_composition B A)) (tptp.relation_dom B)) (tptp.subset (tptp.relation_rng B) (tptp.relation_dom A))))))))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_9 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_12 (tptp.subset (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_13 (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_14 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_15 (= _let_14 (tptp.relation_dom _let_13)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_9))) (let ((_let_18 (not _let_8))) (let ((_let_19 (not _let_11))) (let ((_let_20 (not _let_10))) (let ((_let_21 (or _let_20 _let_19 _let_18 _let_17 _let_16 _let_12))) (let ((_let_22 (tptp.identity_relation _let_14))) (let ((_let_23 (= _let_22 _let_13))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (or _let_18 _let_17 _let_25 _let_20 _let_19 _let_24))) (let ((_let_27 (forall ((A $$unsorted) (BOUND_VARIABLE_1197 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (tptp.one_to_one A) (not (tptp.relation BOUND_VARIABLE_1197)) (not (tptp.function BOUND_VARIABLE_1197)) (not (= (tptp.identity_relation (tptp.relation_dom A)) (tptp.relation_composition A BOUND_VARIABLE_1197))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (REFL :args (_let_26)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_8))) :args _let_30)) :args ((or _let_8 _let_26))) _let_32 :args (_let_8 true _let_26)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) :args _let_30)) :args ((or _let_9 _let_26))) _let_32 :args (_let_9 true _let_26)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 3)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_10))) :args _let_30)) :args ((or _let_10 _let_26))) _let_32 :args (_let_10 true _let_26)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 4)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_11))) :args _let_30)) :args ((or _let_11 _let_26))) _let_32 :args (_let_11 true _let_26)))) (let ((_let_38 (forall ((A $$unsorted) (BOUND_VARIABLE_1108 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1108)) (not (tptp.function BOUND_VARIABLE_1108)) (not (= (tptp.relation_dom (tptp.relation_composition BOUND_VARIABLE_1108 A)) (tptp.relation_dom BOUND_VARIABLE_1108))) (tptp.subset (tptp.relation_rng BOUND_VARIABLE_1108) (tptp.relation_dom A)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (= _let_14 (tptp.relation_dom _let_22)))) (let ((_let_41 (forall ((BOUND_VARIABLE_1234 $$unsorted)) (= BOUND_VARIABLE_1234 (tptp.relation_dom (tptp.identity_relation BOUND_VARIABLE_1234)))))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 5)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_30)) :args ((or _let_23 _let_26))) _let_32 :args (_let_23 true _let_26)))) (let ((_let_44 (and _let_23 _let_40))) (let ((_let_45 (_let_23 _let_40))) (let ((_let_46 (ASSUME :args (_let_23)))) (let ((_let_47 (SYMM _let_46))) (let ((_let_48 (ASSUME :args (_let_40)))) (let ((_let_49 (not _let_12))) (let ((_let_50 (tptp.one_to_one _let_13))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_20 _let_19 _let_18 _let_17 _let_51 _let_49 _let_25))) (let ((_let_53 (forall ((A $$unsorted) (BOUND_VARIABLE_1151 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.relation BOUND_VARIABLE_1151)) (not (tptp.function BOUND_VARIABLE_1151)) (not (tptp.one_to_one (tptp.relation_composition BOUND_VARIABLE_1151 A))) (not (tptp.subset (tptp.relation_rng BOUND_VARIABLE_1151) (tptp.relation_dom A))) (tptp.one_to_one BOUND_VARIABLE_1151))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (tptp.one_to_one _let_22))) (let ((_let_56 (_let_3))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (and _let_23 _let_55))) (let ((_let_59 (ASSUME :args (_let_55)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_18 _let_17 _let_20 _let_19 _let_12 _let_16 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_18 _let_17 _let_25 _let_20 _let_19 _let_51 _let_49 (not _let_52)))) _let_34 _let_35 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 2)) _let_32 :args ((not _let_25) true _let_26)) _let_36 _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_46) (SCOPE (TRUE_ELIM (TRANS (CONG _let_47 :args (APPLY_UF tptp.one_to_one)) (TRUE_INTRO _let_59))) :args (_let_55 _let_23))) :args (_let_23 _let_55))) :args (true _let_58)) :args ((or _let_24 _let_50 (not _let_55)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.identity_relation A)))) :args _let_56)) _let_57 :args (_let_55 false _let_3)) :args (_let_50 false _let_23 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition BOUND_VARIABLE_1151 A)))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_49 false _let_8 false _let_9 true _let_25 false _let_10 false _let_11 false _let_50 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_48) (SCOPE (TRANS (SYMM (SYMM _let_48)) (CONG (SYMM _let_47) :args (APPLY_UF tptp.relation_dom))) :args _let_45)) :args _let_45)) :args (true _let_44)) :args ((or _let_24 _let_15 (not _let_40)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.identity_relation BOUND_VARIABLE_1234)))) :args _let_42)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_40 false _let_41)) :args (_let_15 false _let_23 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_composition BOUND_VARIABLE_1108 A)))) :args (_let_38)))) _let_39 :args (_let_21 false _let_38)) _let_37 _let_36 _let_35 _let_34 :args (false true _let_12 false _let_15 false _let_21 false _let_11 false _let_10 false _let_9 false _let_8)) :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 $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))) (forall ((A $$unsorted)) (tptp.relation (tptp.identity_relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_7 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.relation A) (tptp.function A) (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.identity_relation A))) (and (tptp.relation _let_1) (tptp.function _let_1)))) (and _let_7 _let_6) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition A B))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_5 (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))) _let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.54  )
% 0.19/0.54  % SZS output end Proof for SEU020+1
% 0.19/0.54  % cvc5---1.0.5 exiting
% 0.19/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------