%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 16:30:37 EDT 2023

% Result   : Theorem 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.35  % Computer : n016.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit   : 300
% 0.19/0.35  % WCLimit    : 300
% 0.19/0.35  % DateTime   : Wed Aug 23 20:44:23 EDT 2023
% 0.19/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WYLx0HDZQy/cvc5---1.0.5_27065.p...
% 0.22/0.54  ------- get file name : TPTP file name is SEU284+1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27065.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Theorem for SEU284+1
% 0.22/0.54  % SZS output start Proof for SEU284+1
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (tptp.relation tptp.empty_set))) (let ((_let_2 (tptp.empty tptp.empty_set))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.singleton B))) (=> (and (tptp.in B A) (= C _let_1) (= D _let_1)) (= C D)))) (forall ((B $$unsorted)) (not (and (tptp.in B A) (forall ((C $$unsorted)) (not (= C (tptp.singleton B)))))))) (exists ((B $$unsorted)) (and (tptp.relation B) (tptp.function B) (= (tptp.relation_dom B) A) (forall ((C $$unsorted)) (=> (tptp.in C A) (= (tptp.apply B C) (tptp.singleton C)))))))))) (let ((_let_4 (not (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.relation B) (tptp.function B) (= (tptp.relation_dom B) A) (forall ((C $$unsorted)) (=> (tptp.in C A) (= (tptp.apply B C) (tptp.singleton C)))))))))) (let ((_let_5 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (= A (tptp.relation_dom B))) (not (forall ((C $$unsorted)) (or (not (tptp.in C A)) (= (tptp.apply B C) (tptp.singleton C))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (= A (tptp.relation_dom B))) (not (forall ((C $$unsorted)) (or (not (tptp.in C A)) (= (tptp.apply B C) (tptp.singleton C))))))))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_6 (= B B) (= A A) (= C C)))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) :args ((not _let_5) true _let_6)) :args (false true _let_5)) :args (_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true true true (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_3 (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_2 _let_1 (tptp.relation_empty_yielding tptp.empty_set)) _let_2 (and _let_2 _let_1) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom 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))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$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))) (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)))))))))
% 0.22/0.54  )
% 0.22/0.54  % SZS output end Proof for SEU284+1
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------