%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:29:07 EDT 2023

% Result   : Theorem 1.88s 2.33s
% Output   : Proof 2.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Wed Aug 23 12:20:21 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 1.88/2.33  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wU46mC6LIT/cvc5---1.0.5_25020.p...
% 1.88/2.33  ------- get file name : TPTP file name is SEU044+1
% 1.88/2.33  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25020.smt2...
% 1.88/2.33  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.88/2.33  % SZS status Theorem for SEU044+1
% 1.88/2.33  % SZS output start Proof for SEU044+1
% 1.88/2.33  (
% 1.88/2.33  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_rng_restriction A C)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom C)) (tptp.in (tptp.apply C D) A)))) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_rng_restriction A C))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in (tptp.apply C B) A)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (=> (and (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (= (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 (tptp.relation_dom _let_8)) (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7) (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_10 (forall ((D $$unsorted)) (= (and (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.in D (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))))) (let ((_let_11 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_9))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (= (tptp.in B (tptp.relation_dom (tptp.relation_rng_restriction A C))) (and (tptp.in B (tptp.relation_dom C)) (tptp.in (tptp.apply C B) A))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (and _let_10 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) (tptp.apply _let_1 D)))))))) (let ((_let_23 (tptp.function _let_8))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.relation _let_8))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_14 _let_12 _let_22))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1082 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1082)) (not (tptp.function BOUND_VARIABLE_1082)) (= (= B (tptp.relation_rng_restriction A BOUND_VARIABLE_1082)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom BOUND_VARIABLE_1082)) (tptp.in (tptp.apply BOUND_VARIABLE_1082 D) A)))) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1082 D)))))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (and _let_25 _let_23))) (let ((_let_31 (or _let_14 _let_12 _let_30))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (or (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (REFL :args (_let_15)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_19)) :args ((or _let_11 _let_15))) _let_21 :args (_let_11 true _let_15)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_19)) :args ((or _let_13 _let_15))) _let_21 :args (_let_13 true _let_15)))) (let ((_let_37 (or _let_14 _let_25))) (let ((_let_38 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_7)))) :args _let_40))) :args ((or _let_9 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_10 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_14 _let_12 _let_26 _let_24 _let_22 (not _let_27)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_14 _let_25 (not _let_37)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_25 false _let_13 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_23 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_14 _let_12 _let_30 (not _let_31)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_30 false _let_13 false _let_11 false _let_31)) :args (_let_23 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.relation B) false)) (tptp.relation_rng_restriction A BOUND_VARIABLE_1082)))) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)) :args (_let_22 false _let_13 false _let_11 false _let_25 false _let_23 false _let_27)) :args (_let_10 false _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 2)) _let_21 :args ((not _let_9) true _let_15)) :args (false false _let_10 true _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (and _let_5 _let_6) (and _let_5 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) _let_5 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element 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 $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (forall ((A $$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)) (=> (tptp.empty A) (tptp.relation A))) (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 $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 2.14/2.34  )
% 2.14/2.34  % SZS output end Proof for SEU044+1
% 2.14/2.34  % cvc5---1.0.5 exiting
% 2.14/2.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------