%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 16:30:36 EDT 2023

% Result   : Theorem 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU281+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.35  % Computer : n005.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Wed Aug 23 14:01:39 EDT 2023
% 0.18/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UKbJxAmIwR/cvc5---1.0.5_28213.p...
% 0.22/0.53  ------- get file name : TPTP file name is SEU281+1
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28213.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Theorem for SEU281+1
% 0.22/0.53  % SZS output start Proof for SEU281+1
% 0.22/0.53  (
% 0.22/0.53  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (= C D) (exists ((F $$unsorted) (G $$unsorted)) (and (= (tptp.ordered_pair F G) D) (tptp.in F A) (= G (tptp.singleton F)))) (= C E) (exists ((H $$unsorted) (I $$unsorted)) (and (= (tptp.ordered_pair H I) E) (tptp.in H A) (= I (tptp.singleton H))))) (= D E))) (exists ((C $$unsorted)) (forall ((D $$unsorted)) (= (tptp.in D C) (exists ((E $$unsorted)) (and (tptp.in E (tptp.cartesian_product2 A B)) (= E D) (exists ((J $$unsorted) (K $$unsorted)) (and (= (tptp.ordered_pair J K) D) (tptp.in J A) (= K (tptp.singleton J))))))))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D (tptp.cartesian_product2 A B)) (exists ((E $$unsorted) (F $$unsorted)) (and (= (tptp.ordered_pair E F) D) (tptp.in E A) (= F (tptp.singleton E)))))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (not (forall ((C $$unsorted)) (not (forall ((D $$unsorted)) (= (tptp.in D C) (and (not (forall ((J $$unsorted)) (or (not (= D (tptp.ordered_pair J (tptp.singleton J)))) (not (tptp.in J A))))) (tptp.in D (tptp.cartesian_product2 A B))))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (not (forall ((C $$unsorted)) (not (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D (tptp.cartesian_product2 A B)) (not (forall ((E $$unsorted)) (or (not (= D (tptp.ordered_pair E (tptp.singleton E)))) (not (tptp.in E A)))))))))))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_4 (= C C) (= D D) (= A A) (= B B) (= E J))) (MACRO_SR_PRED_INTRO :args ((= (forall ((A $$unsorted) (B $$unsorted)) (not (forall ((C $$unsorted)) (not (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D (tptp.cartesian_product2 A B)) (not (forall ((J $$unsorted)) (or (not (= D (tptp.ordered_pair J (tptp.singleton J)))) (not (tptp.in J A)))))))))))) _let_3) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((not _let_3) true _let_4)) :args (false true _let_3)) :args (_let_2 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) _let_1 true)))))))
% 0.22/0.53  )
% 0.22/0.53  % SZS output end Proof for SEU281+1
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------