%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n021.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 13:56:54 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WjEqORB3yN/cvc5---1.0.5_12439.p...
% 0.21/0.54  ------- get file name : TPTP file name is SEU188+1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12439.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Theorem for SEU188+1
% 0.21/0.54  % SZS output start Proof for SEU188+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (=> (or (= (tptp.relation_dom A) tptp.empty_set) (= (tptp.relation_rng A) tptp.empty_set)) (= A tptp.empty_set))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (and _let_5 (tptp.relation tptp.empty_set)))) (let ((_let_7 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.empty _let_7))) (let ((_let_9 (= tptp.empty_set _let_7))) (let ((_let_10 (AND_ELIM (ASSUME :args (_let_6)) :args (0)))) (let ((_let_11 (not _let_8))) (let ((_let_12 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (or _let_14 _let_13 _let_11))) (let ((_let_16 (forall ((A $$unsorted)) (or (tptp.empty A) (not (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_19 (not _let_14))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (forall ((A $$unsorted)) (or (not (tptp.empty A)) (= tptp.empty_set A))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_24 (= tptp.empty_set _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_9))) (let ((_let_27 (and _let_26 _let_25))) (let ((_let_28 (or _let_13 _let_27 _let_18))) (let ((_let_29 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (and (not (= tptp.empty_set (tptp.relation_dom A))) (not (= tptp.empty_set (tptp.relation_rng A)))) (= tptp.empty_set A))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 (not _let_20)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 2)) _let_34 :args ((not _let_18) true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.empty A) false))))) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_19 true _let_18 false _let_20)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_32)) :args ((or _let_12 _let_28))) _let_34 :args (_let_12 true _let_28)))) (let ((_let_37 (tptp.empty _let_23))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_14 _let_13 _let_38))) (let ((_let_40 (forall ((A $$unsorted)) (or (tptp.empty A) (not (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (REFL :args ((not _let_5))))) (let ((_let_43 (TRUE_INTRO (ASSUME :args (_let_5))))) (let ((_let_44 (APPLY_UF tptp.empty))) (let ((_let_45 (_let_27))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_11)))) (CONG (SYMM (ASSUME :args (_let_9))) :args _let_44) _let_43)) :args (_let_5 _let_9 _let_11))) (CONG _let_42 (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_45) (CONG (REFL :args _let_45) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_9))) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_32)) :args ((or _let_9 _let_24 _let_27))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_38)))) (CONG (SYMM (ASSUME :args (_let_24))) :args _let_44) _let_43)) :args (_let_5 _let_24 _let_38))) (CONG _let_42 (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_32)) _let_10 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_13 _let_14 _let_38 (not _let_39)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_38 false _let_12 true _let_14 false _let_39)) :args (_let_25 false _let_5 true _let_37)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) _let_34 :args ((not _let_27) true _let_28)) :args (_let_9 true _let_24 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_13 _let_14 _let_11 (not _let_15)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_11 false _let_12 true _let_14 false _let_15)) _let_10 :args (false false _let_9 true _let_8 false _let_5)) :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 $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))) (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair D C) A)))))))) (forall ((A $$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 $$unsorted)) (tptp.element B A))) _let_5 (forall ((A $$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_6 _let_4 _let_3 (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)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (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 $$unsorted)) (=> (tptp.relation A) (=> (forall ((B $$unsorted) (C $$unsorted)) (not (tptp.in (tptp.ordered_pair B C) A))) (= A tptp.empty_set)))) _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SEU188+1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------