%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 16:31:08 EDT 2023

% Result   : Theorem 0.18s 0.51s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Aug 23 16:17:31 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.De7JKSjVly/cvc5---1.0.5_11499.p...
% 0.18/0.51  ------- get file name : TPTP file name is SEU355+1
% 0.18/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11499.smt2...
% 0.18/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.51  % SZS status Theorem for SEU355+1
% 0.18/0.51  % SZS output start Proof for SEU355+1
% 0.18/0.51  (
% 0.18/0.51  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_2 (not (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_3 (tptp.empty tptp.empty_set))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.relstr_set_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.in D B) (tptp.related A D C))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (tptp.rel_str A) (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (= (tptp.relstr_element_smaller A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier A)) (=> (tptp.in D B) (tptp.related A C D))))))))))) (let ((_let_6 (tptp.relstr_element_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (tptp.relstr_set_smaller SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_8))) (let ((_let_15 (forall ((A $$unsorted) (BOUND_VARIABLE_874 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_874 (tptp.the_carrier A))) (and (tptp.relstr_set_smaller A tptp.empty_set BOUND_VARIABLE_874) (tptp.relstr_element_smaller A tptp.empty_set BOUND_VARIABLE_874)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (not (tptp.in D tptp.empty_set)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_22 (= _let_7 _let_21))) (let ((_let_23 (or _let_13 _let_11 _let_22))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_801 $$unsorted) (BOUND_VARIABLE_799 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_801 (tptp.the_carrier A))) (= (tptp.relstr_set_smaller A BOUND_VARIABLE_799 BOUND_VARIABLE_801) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.in D BOUND_VARIABLE_799)) (tptp.related A D BOUND_VARIABLE_801)))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (REFL :args (_let_14)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_18)) :args ((or _let_10 _let_14))) _let_20 :args (_let_10 true _let_14)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_18)) :args ((or _let_12 _let_14))) _let_20 :args (_let_12 true _let_14)))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or (not (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_9)) _let_30 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_32 (not _let_3))) (let ((_let_33 (or _let_30 _let_32))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.empty B)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.in A B) false))))) (let ((_let_38 (ASSUME :args (_let_3)))) (let ((_let_39 (not _let_21))) (let ((_let_40 (_let_39))) (let ((_let_41 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (not (tptp.in D tptp.empty_set)) (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 D))))) (let ((_let_42 (= _let_6 _let_41))) (let ((_let_43 (or _let_13 _let_11 _let_42))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_765 $$unsorted) (BOUND_VARIABLE_763 $$unsorted)) (or (not (tptp.rel_str A)) (not (tptp.element BOUND_VARIABLE_765 (tptp.the_carrier A))) (= (tptp.relstr_element_smaller A BOUND_VARIABLE_763 BOUND_VARIABLE_765) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.in D BOUND_VARIABLE_763)) (tptp.related A BOUND_VARIABLE_765 D)))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.empty_set))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or (not (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_9)) _let_47 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_49 (or _let_47 _let_32))) (let ((_let_50 (not _let_41))) (let ((_let_51 (_let_50))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_6 _let_50 (not _let_42)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_51)) :args _let_51)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_41))) (REFL :args ((not _let_48))) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_18)) :args ((or _let_46 _let_48))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_32 _let_47 (not _let_49)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_49 false _let_34)) :args (_let_47 false _let_3 false _let_49)) :args (_let_48 true _let_46)) :args (_let_41 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_13 _let_11 _let_42 (not _let_43)))) _let_28 _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relstr_element_smaller A BOUND_VARIABLE_763 BOUND_VARIABLE_765)))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_12 false _let_10 false _let_43)) :args (_let_6 false _let_41 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_22)) :args ((or _let_7 _let_39 (not _let_22)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_21))) (REFL :args ((not _let_31))) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_18)) :args ((or _let_29 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 (not _let_33)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_30 false _let_3 false _let_33)) :args (_let_31 true _let_29)) :args (_let_21 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_13 _let_11 _let_22 (not _let_23)))) _let_28 _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relstr_set_smaller A BOUND_VARIABLE_799 BOUND_VARIABLE_801)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_22 false _let_12 false _let_10 false _let_23)) :args (_let_7 false _let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_20 :args ((not _let_8) true _let_14)) :args (false false _let_6 false _let_7 true _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) _let_5 _let_4 true (forall ((A $$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))) _let_3 (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.finite A))) (exists ((A $$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 $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.52  )
% 0.18/0.52  % SZS output end Proof for SEU355+1
% 0.18/0.52  % cvc5---1.0.5 exiting
% 0.18/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------