%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 16:30:08 EDT 2023

% Result   : Theorem 0.21s 0.56s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n026.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 18:32:46 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bAXGf0UWx8/cvc5---1.0.5_26830.p...
% 0.21/0.56  ------- get file name : TPTP file name is SEU219+3
% 0.21/0.56  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26830.smt2...
% 0.21/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56  % SZS status Theorem for SEU219+3
% 0.21/0.56  % SZS output start Proof for SEU219+3
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_inverse A))) (=> (tptp.relation A) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (= (tptp.function_inverse A) (tptp.relation_inverse A))))))) (let ((_let_6 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_7 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_8 (= _let_7 (tptp.relation_rng _let_6)))) (let ((_let_9 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (= _let_9 (tptp.relation_dom _let_6)))) (let ((_let_11 (and _let_10 _let_8))) (let ((_let_12 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13 _let_11))) (let ((_let_19 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (tptp.relation_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_26 (= _let_9 (tptp.relation_dom _let_25)))) (let ((_let_27 (= _let_6 _let_25))) (let ((_let_28 (= _let_7 (tptp.relation_rng _let_25)))) (let ((_let_29 (and _let_26 _let_28))) (let ((_let_30 (or _let_17 _let_29))) (let ((_let_31 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_inverse A))) (or (not (tptp.relation A)) (and (= (tptp.relation_rng A) (tptp.relation_dom _let_1)) (= (tptp.relation_dom A) (tptp.relation_rng _let_1)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (REFL :args (_let_18)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_22)) :args ((or _let_16 _let_18))) _let_24 :args (_let_16 true _let_18)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_17 _let_29 (not _let_30)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_29 false _let_16 false _let_30)))) (let ((_let_36 (not _let_29))) (let ((_let_37 (or _let_17 _let_15 _let_13 _let_27))) (let ((_let_38 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (= (tptp.function_inverse A) (tptp.relation_inverse A)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_17 _let_15 _let_13 _let_27 (not _let_37)))) _let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_22)) :args ((or _let_14 _let_18))) _let_24 :args (_let_14 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_22)) :args ((or _let_12 _let_18))) _let_24 :args (_let_12 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_27 false _let_16 false _let_14 false _let_12 false _let_37)))) (let ((_let_41 (not _let_27))) (let ((_let_42 (and _let_27 _let_26))) (let ((_let_43 (_let_27 _let_26))) (let ((_let_44 (ASSUME :args (_let_27)))) (let ((_let_45 (SYMM _let_44))) (let ((_let_46 (ASSUME :args (_let_26)))) (let ((_let_47 (and _let_27 _let_28))) (let ((_let_48 (_let_27 _let_28))) (let ((_let_49 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_49) (SCOPE (TRANS (SYMM (SYMM _let_49)) (CONG _let_45 :args (APPLY_UF tptp.relation_rng))) :args _let_48)) :args _let_48)) :args (true _let_47)) :args ((or _let_8 _let_41 (not _let_28)))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_36))) _let_35 :args (_let_28 false _let_29)) :args (_let_8 false _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_46) (SCOPE (TRANS (SYMM (SYMM _let_46)) (CONG _let_45 :args (APPLY_UF tptp.relation_dom))) :args _let_43)) :args _let_43)) :args (true _let_42)) :args ((or _let_10 _let_41 (not _let_26)))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_26 _let_36))) _let_35 :args (_let_26 false _let_29)) :args (_let_10 false _let_27 false _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 3)) _let_24 :args ((not _let_11) true _let_18)) :args (false false _let_8 false _let_10 true _let_11)) :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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (forall ((A $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_inverse A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_inverse A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_4 _let_3 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_inverse A))) (=> (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A)) (and (tptp.relation _let_1) (tptp.function _let_1))))) (and _let_4 _let_3) (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 $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_inverse (tptp.relation_inverse A)) A))) (exists ((A $$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 $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$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.function A) (tptp.one_to_one 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 $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_2 (forall ((A $$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))) _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.56  % SZS output end Proof for SEU219+3
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------