%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 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 16:29:42 EDT 2023

% Result   : Theorem 0.23s 0.56s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SEU161+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.16  % Command    : do_cvc5 %s %d
% 0.16/0.38  % Computer : n013.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Wed Aug 23 17:39:02 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.uAtfD9Bbm9/cvc5---1.0.5_6900.p...
% 0.23/0.56  ------- get file name : TPTP file name is SEU161+3
% 0.23/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6900.smt2...
% 0.23/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56  % SZS status Theorem for SEU161+3
% 0.23/0.56  % SZS output start Proof for SEU161+3
% 0.23/0.56  (
% 0.23/0.56  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (= (tptp.set_union2 (tptp.singleton A) B) B))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (= (tptp.set_union2 (tptp.singleton A) B) B)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (= B (tptp.set_union2 (tptp.singleton A) B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (= B (tptp.set_union2 (tptp.singleton A) B)))))) (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 (ALPHA_EQUIV :args (_let_4 (= A A) (= B B)))) (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 ((forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true)))))))
% 0.23/0.56  )
% 0.23/0.56  % SZS output end Proof for SEU161+3
% 0.23/0.56  % cvc5---1.0.5 exiting
% 0.23/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------