%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 16:31:10 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU361+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Wed Aug 23 19:32:32 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UpkPWTsvBx/cvc5---1.0.5_8118.p...
% 0.22/0.55  ------- get file name : TPTP file name is SEU361+1
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8118.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for SEU361+1
% 0.22/0.55  % SZS output start Proof for SEU361+1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (and (tptp.relstr_set_smaller A tptp.empty_set B) (tptp.relstr_element_smaller A tptp.empty_set B)))))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.antisymmetric_relstr A) (tptp.lower_bounded_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (tptp.related A (tptp.bottom_of_relstr A) B)))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.antisymmetric_relstr A) (tptp.lower_bounded_relstr A) (tptp.rel_str A)) (and (tptp.ex_sup_of_relstr_set A tptp.empty_set) (tptp.ex_inf_of_relstr_set A (tptp.the_carrier A))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (tptp.antisymmetric_relstr A) (tptp.rel_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (let ((_let_1 (and (= B (tptp.join_on_relstr A C)) (tptp.ex_sup_of_relstr_set A C)))) (let ((_let_2 (tptp.relstr_set_smaller A C B))) (and (=> _let_1 (and _let_2 (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A C D) (tptp.related A B D)))))) (=> (and _let_2 (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.relstr_set_smaller A C D) (tptp.related A B D))))) _let_1))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.element (tptp.bottom_of_relstr A) (tptp.the_carrier A)))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (= (tptp.bottom_of_relstr A) (tptp.join_on_relstr A tptp.empty_set)))))) (let ((_let_7 (tptp.ex_sup_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set))) (let ((_let_8 (tptp.bottom_of_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_9 (= _let_8 (tptp.join_on_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set)))) (let ((_let_10 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set _let_8))) (let ((_let_11 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_12 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_15 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_13 _let_11))) (let ((_let_18 (and _let_10 _let_17))) (let ((_let_19 (not _let_7))) (let ((_let_20 (not _let_9))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (and _let_21 (or (not _let_10) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set D)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (tptp.bottom_of_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) D)))) (and _let_9 _let_7))))) (let ((_let_23 (tptp.element _let_8 _let_14))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.antisymmetric_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24 _let_22))) (let ((_let_30 (forall ((A $$unsorted) (BOUND_VARIABLE_1023 $$unsorted) (BOUND_VARIABLE_1021 $$unsorted) (BOUND_VARIABLE_1019 $$unsorted) (BOUND_VARIABLE_1017 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.antisymmetric_relstr A)) (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1017 _let_1)) (and (or (not (= BOUND_VARIABLE_1017 (tptp.join_on_relstr A BOUND_VARIABLE_1023))) (not (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_1023)) (and (tptp.relstr_set_smaller A BOUND_VARIABLE_1023 BOUND_VARIABLE_1017) (or (not (tptp.element BOUND_VARIABLE_1021 _let_1)) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_1023 BOUND_VARIABLE_1021)) (tptp.related A BOUND_VARIABLE_1017 BOUND_VARIABLE_1021)))) (or (not (tptp.relstr_set_smaller A BOUND_VARIABLE_1019 BOUND_VARIABLE_1017)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.relstr_set_smaller A BOUND_VARIABLE_1019 D)) (tptp.related A BOUND_VARIABLE_1017 D)))) (and (= BOUND_VARIABLE_1017 (tptp.join_on_relstr A BOUND_VARIABLE_1019)) (tptp.ex_sup_of_relstr_set A BOUND_VARIABLE_1019))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or _let_26 _let_23))) (let ((_let_33 (forall ((A $$unsorted)) (or (not (tptp.rel_str A)) (tptp.element (tptp.bottom_of_relstr A) (tptp.the_carrier A)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.lower_bounded_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_38 (or _let_37 _let_28 _let_36 _let_26 _let_16 _let_11))) (let ((_let_39 (forall ((A $$unsorted) (BOUND_VARIABLE_1082 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.antisymmetric_relstr A)) (not (tptp.lower_bounded_relstr A)) (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1082 (tptp.the_carrier A))) (tptp.related A (tptp.bottom_of_relstr A) BOUND_VARIABLE_1082))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (or))) (let ((_let_43 (not _let_39))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_43))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_42)) _let_41 :args (_let_40 true _let_39)))) (let ((_let_45 (REFL :args (_let_38)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 3)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_42)) :args ((or _let_25 _let_38))) _let_44 :args (_let_25 true _let_38)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_42)) :args ((or _let_27 _let_38))) _let_44 :args (_let_27 true _let_38)))) (let ((_let_48 (not _let_21))) (let ((_let_49 (not _let_18))) (let ((_let_50 (not _let_17))) (let ((_let_51 (and _let_12 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_52 (or _let_26 _let_16 _let_51))) (let ((_let_53 (forall ((A $$unsorted) (BOUND_VARIABLE_1110 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_1110 (tptp.the_carrier A))) (and (tptp.relstr_set_smaller A tptp.empty_set BOUND_VARIABLE_1110) (tptp.relstr_element_smaller A tptp.empty_set BOUND_VARIABLE_1110)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 4)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_42)) :args ((or _let_15 _let_38))) _let_44 :args (_let_15 true _let_38)))) (let ((_let_56 (and _let_7 (tptp.ex_inf_of_relstr_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_14)))) (let ((_let_57 (or _let_37 _let_28 _let_36 _let_26 _let_56))) (let ((_let_58 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.antisymmetric_relstr A)) (not (tptp.lower_bounded_relstr A)) (not (tptp.rel_str A)) (and (tptp.ex_sup_of_relstr_set A tptp.empty_set) (tptp.ex_inf_of_relstr_set A (tptp.the_carrier A))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or _let_26 _let_9))) (let ((_let_61 (forall ((A $$unsorted)) (or (not (tptp.rel_str A)) (= (tptp.bottom_of_relstr A) (tptp.join_on_relstr A tptp.empty_set)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 _let_18 _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_26 _let_9 (not _let_60)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rel_str A) false))))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_9 false _let_25 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_7 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_37 _let_28 _let_36 _let_26 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 0)) _let_44 :args ((not _let_37) true _let_38)) _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_42)) :args ((or _let_35 _let_38))) _let_44 :args (_let_35 true _let_38)) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.empty_carrier A) true))))) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_56 true _let_37 false _let_27 false _let_35 false _let_25 false _let_57)) :args (_let_7 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_49))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_11 _let_13 _let_50))) _let_55 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 5)) _let_44 :args ((not _let_11) true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 0)) :args ((or _let_12 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_26 _let_16 _let_51 (not _let_52)))) _let_46 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1110 (tptp.the_carrier A)) false))))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_51 false _let_25 false _let_15 false _let_52)) :args (_let_12 false _let_51)) :args (_let_50 false _let_15 true _let_11 false _let_12)) :args (_let_49 true _let_17)) :args (_let_48 false _let_9 false _let_7 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 _let_24 _let_22 (not _let_29)))) _let_47 _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_26 _let_23 (not _let_32)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rel_str A) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_23 false _let_25 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.empty_set _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.join_on_relstr A BOUND_VARIABLE_1023) (tptp.element BOUND_VARIABLE_1021 (tptp.the_carrier A)) (tptp.relstr_set_smaller A BOUND_VARIABLE_1019 BOUND_VARIABLE_1017)))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_27 false _let_25 false _let_23 false _let_29)) :args (false true _let_21 false _let_22)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) _let_6 true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.rel_str A) (tptp.element (tptp.join_on_relstr A B) (tptp.the_carrier A)))) _let_5 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true true true (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))) (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_4 _let_3 _let_2 (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for SEU361+1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------