%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 16:29:06 EDT 2023

% Result   : Theorem 1.77s 1.98s
% Output   : Proof 1.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Wed Aug 23 13:33:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 1.77/1.98  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.p7dMTnAbtx/cvc5---1.0.5_5649.p...
% 1.77/1.98  ------- get file name : TPTP file name is SEU037+1
% 1.77/1.98  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5649.smt2...
% 1.77/1.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.77/1.98  % SZS status Theorem for SEU037+1
% 1.77/1.98  % SZS output start Proof for SEU037+1
% 1.77/1.98  (
% 1.77/1.98  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in B (tptp.set_intersection2 (tptp.relation_dom C) A)) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_dom_restriction C A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom C) A)) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation A) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_7 (tptp.set_intersection2 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7))) (let ((_let_9 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_10 (tptp.relation_dom _let_9))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_13 (= (tptp.apply _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_14 (not _let_8))) (let ((_let_15 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14 _let_13))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.in B (tptp.set_intersection2 (tptp.relation_dom C) A))) (= (tptp.apply (tptp.relation_dom_restriction C A) B) (tptp.apply C B)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) (tptp.apply _let_1 D))))))) (let ((_let_28 (and _let_11 _let_27))) (let ((_let_29 (tptp.function _let_9))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.relation _let_9))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_18 _let_16 _let_28))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1112 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1112)) (not (tptp.function BOUND_VARIABLE_1112)) (= (= B (tptp.relation_dom_restriction BOUND_VARIABLE_1112 A)) (and (= (tptp.relation_dom B) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1112) A)) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1112 D)))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (and _let_31 _let_29))) (let ((_let_37 (or _let_18 _let_16 _let_36))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (or (not (tptp.relation A)) (not (tptp.function A)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_23)) :args ((or _let_15 _let_19))) _let_25 :args (_let_15 true _let_19)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)))) (let ((_let_42 (or _let_18 _let_31))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (tptp.relation (tptp.relation_dom_restriction A B)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_18 _let_16 _let_32 _let_30 _let_28 (not _let_33)))) _let_41 _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_18 _let_31 (not _let_42)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_31 false _let_17 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_29 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_18 _let_16 _let_36 (not _let_37)))) _let_41 _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_dom_restriction A B)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_36 false _let_17 false _let_15 false _let_37)) :args (_let_29 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.function B) false)) (tptp.set_intersection2 (tptp.relation_dom BOUND_VARIABLE_1112) A)))) :args (_let_34)))) _let_35 :args (_let_33 false _let_34)) :args (_let_28 false _let_17 false _let_15 false _let_31 false _let_29 false _let_33)))) (let ((_let_46 (not _let_28))) (let ((_let_47 (not _let_12))) (let ((_let_48 (or _let_47 _let_13))) (let ((_let_49 (_let_27))) (let ((_let_50 (ASSUME :args (_let_47)))) (let ((_let_51 (ASSUME :args (_let_11)))) (let ((_let_52 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_51 _let_52) :args (_let_8 _let_11 _let_47)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_52)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (SYMM (SYMM _let_51)) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_50))) :args (_let_47 _let_11 _let_8)) :args ((not (and _let_8 _let_11 _let_47)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (REFL :args ((not _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_12))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_13 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 3)) _let_25 :args ((not _let_13) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in D _let_10) false))))) :args _let_49))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_27 _let_46))) _let_45 :args (_let_27 false _let_28)) :args (_let_48 false _let_27)) :args (_let_47 true _let_13 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_11 _let_46))) _let_45 :args (_let_11 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_8))) :args _let_23)) :args ((or _let_8 _let_19))) _let_25 :args (_let_8 true _let_19)) :args (false true _let_12 false _let_11 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)) (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.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_6 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_4 _let_3 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_dom_restriction A B))) (=> (and (tptp.relation A) (tptp.relation_empty_yielding A)) (and (tptp.relation _let_1) (tptp.relation_empty_yielding _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_intersection2 A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_4 _let_5 (and _let_4 _let_3) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$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)) (= (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)))) _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.77/1.99  )
% 1.77/1.99  % SZS output end Proof for SEU037+1
% 1.77/1.99  % cvc5---1.0.5 exiting
% 1.77/2.00  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------