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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET001-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 : Wed Jun  3 08:46:51 AM UTC 2026

% Result   : Unsatisfiable 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET001-1 : TPTP v9.2.1. Released v1.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n018.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 14:39:50 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.56  % SZS status Unsatisfiable
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort $$unsorted 0)
% 0.38/0.56  (declare-const tptp.element_of_b $$unsorted)
% 0.38/0.56  (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.bb $$unsorted)
% 0.38/0.56  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.b $$unsorted)
% 0.38/0.56  (declare-const tptp.member (-> $$unsorted $$unsorted Bool))
% 0.38/0.56  (define @t1 () (@var "Superset" $$unsorted))
% 0.38/0.56  (define @t2 () (@var "Element" $$unsorted))
% 0.38/0.56  (define @t3 () (@var "Subset" $$unsorted))
% 0.38/0.56  (define @t4 () (tptp.subset @t3 @t1))
% 0.38/0.56  (define @t5 () (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1))))
% 0.38/0.56  (define @t6 () (tptp.member_of_1_not_of_2 @t3 @t1))
% 0.38/0.56  (define @t7 () (@list @t3 @t1))
% 0.38/0.56  (define @t8 () (@var "Set1" $$unsorted))
% 0.38/0.56  (define @t9 () (@var "Set2" $$unsorted))
% 0.38/0.56  (define @t10 () (tptp.equal_sets tptp.b tptp.bb))
% 0.38/0.56  (define @t11 () (tptp.member tptp.element_of_b tptp.b))
% 0.38/0.56  (define @t12 () (tptp.member tptp.element_of_b tptp.bb))
% 0.38/0.56  (define @t13 () (tptp.subset tptp.b tptp.bb))
% 0.38/0.56  (define @t14 () (not @t10))
% 0.38/0.56  (define @t15 () (or @t14 @t13))
% 0.38/0.56  (define @t16 () (not @t13))
% 0.38/0.56  (define @t17 () (not @t11))
% 0.38/0.56  (define @t18 () (or @t17 @t16 @t12))
% 0.38/0.56  (define @t19 () (not @t18))
% 0.38/0.56  (assume @p1 @t5)
% 0.38/0.56  (assume @p2 (forall @t7 (or @t4 (tptp.member @t6 @t3))))
% 0.38/0.56  (assume @p3 (forall @t7 (or (not (tptp.member @t6 @t1)) @t4)))
% 0.38/0.56  (assume @p4 (forall @t7 (or (not (tptp.equal_sets @t3 @t1)) @t4)))
% 0.38/0.56  (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4)))
% 0.38/0.56  (assume @p6 (forall (@list @t8 @t9) (or (not (tptp.subset @t8 @t9)) (not (tptp.subset @t9 @t8)) (tptp.equal_sets @t9 @t8))))
% 0.38/0.56  (assume @p7 @t10)
% 0.38/0.56  (assume @p8 @t11)
% 0.38/0.56  (assume @p9 (not @t12))
% 0.38/0.56  (step @p10 :rule instantiate :premises (@p4) :args ((@list tptp.b tptp.bb)))
% 0.38/0.56  (step @p11 :rule cnf_or_pos :args (@t15))
% 0.38/0.56  (step @p12 :rule reordering :premises (@p11) :args ((or @t14 @t13 (not @t15))))
% 0.38/0.56  (step @p13 :rule chain_m_resolution :premises (@p12 @p7 @p10) :args (@t13 (@list false false) (@list @t10 @t15)))
% 0.38/0.56  (step @p14 :rule cnf_or_pos :args (@t18))
% 0.38/0.56  (step @p15 :rule reordering :premises (@p14) :args ((or @t12 @t17 @t16 @t19)))
% 0.38/0.56  (step @p16 :rule chain_m_resolution :premises (@p15 @p9 @p8 @p13) :args (@t19 (@list true false false) (@list @t12 @t11 @t13)))
% 0.38/0.56  (assume-push @p23 @t5)
% 0.38/0.56  (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.element_of_b tptp.b tptp.bb)))
% 0.38/0.56  (step-pop @p24 :rule scope :premises (@p18))
% 0.38/0.56  (step @p19 :rule process_scope :premises (@p24) :args (@t18))
% 0.38/0.56  (step @p21 :rule implies_elim :premises (@p19))
% 0.38/0.56  (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p1) :args (false (@list true false) (@list @t18 @t5)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------