%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 16:29:53 EDT 2023

% Result   : Theorem 0.19s 0.54s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.33  % Computer : n013.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Wed Aug 23 18:49:32 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ueArJFak02/cvc5---1.0.5_30806.p...
% 0.19/0.54  ------- get file name : TPTP file name is SEU187+1
% 0.19/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30806.smt2...
% 0.19/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.54  % SZS status Theorem for SEU187+1
% 0.19/0.54  % SZS output start Proof for SEU187+1
% 0.19/0.54  (
% 0.19/0.54  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))))) (let ((_let_2 (tptp.relation_rng tptp.empty_set))) (let ((_let_3 (tptp.relation_dom tptp.empty_set))) (let ((_let_4 (not (and (= _let_3 tptp.empty_set) (= _let_2 tptp.empty_set))))) (let ((_let_5 (tptp.relation tptp.empty_set))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (and _let_6 _let_5))) (let ((_let_8 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair D C) A)))))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))))) (let ((_let_10 (= tptp.empty_set _let_3))) (let ((_let_11 (= tptp.empty_set _let_2))) (let ((_let_12 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) tptp.empty_set)))) (tptp.in C tptp.empty_set))))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (not _let_5))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((A $$unsorted) (BOUND_VARIABLE_811 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_dom A) BOUND_VARIABLE_811) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) A)))) (tptp.in C BOUND_VARIABLE_811)))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM))) (let ((_let_19 (ASSUME :args (_let_7)))) (let ((_let_20 (AND_ELIM _let_19 :args (1)))) (let ((_let_21 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.empty_set))) (let ((_let_22 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 D) tptp.empty_set))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (not _let_6))) (let ((_let_26 (not _let_21))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.empty B)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 ((not (= (tptp.in A B) false))))) (let ((_let_32 (AND_ELIM _let_19 :args (0)))) (let ((_let_33 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_34 (tptp.in _let_33 tptp.empty_set))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_25))) (let ((_let_37 (or))) (let ((_let_38 (_let_23))) (let ((_let_39 (not _let_12))) (let ((_let_40 (_let_39))) (let ((_let_41 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D C) tptp.empty_set)))) (tptp.in C tptp.empty_set))))) (let ((_let_42 (= _let_11 _let_41))) (let ((_let_43 (or _let_14 _let_42))) (let ((_let_44 (forall ((A $$unsorted) (BOUND_VARIABLE_840 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_840) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D C) A)))) (tptp.in C BOUND_VARIABLE_840)))))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 tptp.empty_set))) (let ((_let_47 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) tptp.empty_set))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (= _let_48 _let_46))) (let ((_let_50 (not _let_46))) (let ((_let_51 (or _let_50 _let_25))) (let ((_let_52 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_53 (tptp.in _let_52 tptp.empty_set))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_25))) (let ((_let_56 (_let_48))) (let ((_let_57 (not _let_41))) (let ((_let_58 (_let_57))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_42)) :args ((or _let_11 _let_57 (not _let_42)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_58)) :args _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_41))) (REFL :args ((not _let_49))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_49)) :args ((or _let_48 _let_46 _let_49))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56) (REWRITE :args ((=> _let_48 (not _let_54)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) (REFL :args (_let_53)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_54 (not _let_55)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_52 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_55 false _let_28)) :args (_let_54 false _let_6 false _let_55)) :args (_let_47 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_25 _let_50 (not _let_51)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_51 false _let_28)) :args (_let_50 false _let_6 false _let_51)) :args (_let_49 false _let_47 true _let_46)) :args (_let_41 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_14 _let_42 (not _let_43)))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_18) :args (_let_44)))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 false _let_5 false _let_43)) :args (_let_11 false _let_41 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_13)) :args ((or _let_10 _let_39 (not _let_13)))) (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_12))) (REFL :args ((not _let_24))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_24)) :args ((or _let_23 _let_21 _let_24))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38) (REWRITE :args ((=> _let_23 (not _let_35)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) (REFL :args (_let_34)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_25 _let_35 (not _let_36)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_33 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_36 false _let_28)) :args (_let_35 false _let_6 false _let_36)) :args (_let_22 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_26 (not _let_27)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 tptp.empty_set QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_30)) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_6 false _let_27)) :args (_let_24 false _let_22 true _let_21)) :args (_let_12 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 (not _let_15)))) _let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args _let_18) :args (_let_16)))) _let_17 :args (_let_15 false _let_16)) :args (_let_13 false _let_5 false _let_15)) :args (_let_10 false _let_12 false _let_13)) :args (false false _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) true true true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) _let_7 (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))))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$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 $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))) _let_4 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.55  )
% 0.19/0.55  % SZS output end Proof for SEU187+1
% 0.19/0.55  % cvc5---1.0.5 exiting
% 0.19/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------