%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU023+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 10.54s 10.83s
% Output   : Proof 10.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU023+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Wed Aug 23 13:11:17 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.54/10.83  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sBnXDnGvgH/cvc5---1.0.5_29087.p...
% 10.54/10.83  ------- get file name : TPTP file name is SEU023+1
% 10.54/10.83  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29087.smt2...
% 10.54/10.83  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.54/10.83  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.54/10.83  % SZS status Theorem for SEU023+1
% 10.54/10.83  % SZS output start Proof for SEU023+1
% 10.54/10.83  (
% 10.54/10.83  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (=> (and (tptp.relation B) (tptp.function B)) (=> (and (tptp.one_to_one B) (tptp.in A (tptp.relation_dom B))) (and (= A (tptp.apply _let_1 (tptp.apply B A))) (= A (tptp.apply (tptp.relation_composition B _let_1) A)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.one_to_one A) (forall ((B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (= (= B (tptp.function_inverse A)) (and (= (tptp.relation_dom B) (tptp.relation_rng A)) (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (and (tptp.in C (tptp.relation_rng A)) (= D (tptp.apply B C))))) (let ((_let_2 (and (tptp.in D (tptp.relation_dom A)) (= C (tptp.apply A D))))) (and (=> _let_1 _let_2) (=> _let_2 _let_1)))))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in A (tptp.relation_dom B)) (= (tptp.apply (tptp.relation_composition B C) A) (tptp.apply C (tptp.apply B A)))))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_7 (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_8 (tptp.apply (tptp.relation_composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_9 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.apply _let_7 _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_10))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_8))) (let ((_let_14 (tptp.function _let_7))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.relation _let_7))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19 _let_17 _let_15 _let_11))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1162 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.in A (tptp.relation_dom B))) (not (tptp.relation BOUND_VARIABLE_1162)) (not (tptp.function BOUND_VARIABLE_1162)) (= (tptp.apply (tptp.relation_composition B BOUND_VARIABLE_1162) A) (tptp.apply BOUND_VARIABLE_1162 (tptp.apply B A))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (and _let_16 _let_14))) (let ((_let_28 (or _let_23 _let_21 _let_27))) (let ((_let_29 (forall ((A $$unsorted)) (let ((_let_1 (tptp.function_inverse A))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (and _let_12 _let_13))) (let ((_let_32 (tptp.one_to_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_23 _let_21 _let_33 _let_19 _let_31))) (let ((_let_35 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.function_inverse B))) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.one_to_one B)) (not (tptp.in A (tptp.relation_dom B))) (and (= A (tptp.apply _let_1 (tptp.apply B A))) (= A (tptp.apply (tptp.relation_composition B _let_1) A)))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_35))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_38)) _let_37 :args (_let_36 true _let_35)))) (let ((_let_41 (REFL :args (_let_34)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_38)) :args ((or _let_20 _let_34))) _let_40 :args (_let_20 true _let_34)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_38)) :args ((or _let_22 _let_34))) _let_40 :args (_let_22 true _let_34)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_23 _let_21 _let_27 (not _let_28)))) _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM)) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_27 false _let_22 false _let_20 false _let_28)))) (let ((_let_45 (not _let_27))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_14 _let_45))) _let_44 :args (_let_14 false _let_27)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_16 _let_45))) _let_44 :args (_let_16 false _let_27)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 3)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_38)) :args ((or _let_18 _let_34))) _let_40 :args (_let_18 true _let_34)))) (let ((_let_49 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_50 (and (tptp.in _let_9 _let_49) _let_12))) (let ((_let_51 (or _let_19 _let_50))) (let ((_let_52 (forall ((BOUND_VARIABLE_1220 $$unsorted)) (let ((_let_1 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 BOUND_VARIABLE_1220))) (or (not (tptp.in BOUND_VARIABLE_1220 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (and (tptp.in _let_1 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= BOUND_VARIABLE_1220 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_1)))))))) (let ((_let_53 (and (= _let_49 (tptp.relation_dom _let_7)) (forall ((BOUND_VARIABLE_1202 $$unsorted)) (let ((_let_1 (tptp.apply (tptp.function_inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) BOUND_VARIABLE_1202))) (or (not (tptp.in BOUND_VARIABLE_1202 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (and (tptp.in _let_1 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= BOUND_VARIABLE_1202 (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_1)))))) _let_52))) (let ((_let_54 (or _let_23 _let_21 _let_33 _let_17 _let_15 _let_53))) (let ((_let_55 (forall ((A $$unsorted) (BOUND_VARIABLE_1282 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.one_to_one A)) (not (tptp.relation BOUND_VARIABLE_1282)) (not (tptp.function BOUND_VARIABLE_1282)) (= (= (tptp.function_inverse A) BOUND_VARIABLE_1282) (and (= (tptp.relation_rng A) (tptp.relation_dom BOUND_VARIABLE_1282)) (forall ((BOUND_VARIABLE_1202 $$unsorted)) (let ((_let_1 (tptp.apply BOUND_VARIABLE_1282 BOUND_VARIABLE_1202))) (or (not (tptp.in BOUND_VARIABLE_1202 (tptp.relation_rng A))) (and (tptp.in _let_1 (tptp.relation_dom A)) (= BOUND_VARIABLE_1202 (tptp.apply A _let_1)))))) (forall ((BOUND_VARIABLE_1220 $$unsorted)) (let ((_let_1 (tptp.apply A BOUND_VARIABLE_1220))) (or (not (tptp.in BOUND_VARIABLE_1220 (tptp.relation_dom A))) (and (tptp.in _let_1 (tptp.relation_rng A)) (= BOUND_VARIABLE_1220 (tptp.apply BOUND_VARIABLE_1282 _let_1)))))))))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_52))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_50 1)) :args ((or _let_12 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_19 _let_50 (not _let_51)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_57) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_23 _let_21 _let_33 _let_17 _let_15 _let_53 (not _let_54)))) _let_43 _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 2)) (CONG _let_41 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_38)) :args ((or _let_32 _let_34))) _let_40 :args (_let_32 true _let_34)) _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_55)))) _let_56 :args (_let_54 false _let_55)) :args (_let_53 false _let_22 false _let_20 false _let_32 false _let_16 false _let_14 false _let_54)) :args (_let_52 false _let_53)) :args (_let_51 false _let_52)) :args (_let_50 false _let_18 false _let_51)) :args (_let_12 false _let_50)))) (let ((_let_59 (and _let_12 _let_11))) (let ((_let_60 (ASSUME :args (_let_11)))) (let ((_let_61 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_61) (SCOPE (TRANS (SYMM (SYMM _let_61)) (SYMM (SYMM _let_60))) :args (_let_11 _let_12))) :args (_let_12 _let_11))) :args (true _let_59)) :args ((or _let_13 (not _let_12) (not _let_11)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_31)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 4)) _let_40 :args ((not _let_31) true _let_34)) _let_58 :args ((not _let_13) true _let_31 false _let_12)) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_19 _let_17 _let_15 _let_11 (not _let_24)))) _let_43 _let_42 _let_48 _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_25)))) _let_26 :args (_let_24 false _let_25)) :args (_let_11 false _let_22 false _let_20 false _let_18 false _let_16 false _let_14 false _let_24)) :args (false true _let_13 false _let_12 false _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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.relation_composition A B)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_composition B A))) (=> (and (tptp.empty A) (tptp.relation B)) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (and _let_5 _let_4 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$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_5 (and _let_5 _let_4) (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 (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))) _let_3 (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 $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.54/10.83  )
% 10.54/10.83  % SZS output end Proof for SEU023+1
% 10.54/10.83  % cvc5---1.0.5 exiting
% 10.54/10.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------