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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO632-1 : TPTP v9.2.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:13:15 AM UTC 2026

% Result   : Unsatisfiable 0.36s 0.56s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO632-1 : TPTP v9.2.1. Released v7.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n014.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
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 00:32:13 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.56  % SZS status Unsatisfiable
% 0.36/0.56  % SZS output start Proof
% 0.36/0.56  (
% 0.36/0.56  (declare-sort $$unsorted 0)
% 0.36/0.56  (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool))
% 0.36/0.56  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.36/0.56  (declare-const |tptp.'LEQ'| (-> $$unsorted $$unsorted Bool))
% 0.36/0.56  (declare-const |tptp.'AP'| (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.56  (declare-const tptp.s (-> $$unsorted $$unsorted))
% 0.36/0.56  (declare-const |tptp.'0'| $$unsorted)
% 0.36/0.56  (define @t1 () (@var "K" $$unsorted))
% 0.36/0.56  (define @t2 () (tptp.s |tptp.'0'|))
% 0.36/0.56  (define @t3 () (tptp.s @t2))
% 0.36/0.56  (define @t4 () (|tptp.'AP'| @t3 @t1))
% 0.36/0.56  (define @t5 () (@list @t1))
% 0.36/0.56  (define @t6 () (@var "B" $$unsorted))
% 0.36/0.56  (define @t7 () (@var "B_0" $$unsorted))
% 0.36/0.56  (define @t8 () (not (|tptp.'E'| (tptp.f @t7) @t2)))
% 0.36/0.56  (define @t9 () (@var "A_0" $$unsorted))
% 0.36/0.56  (define @t10 () (not (|tptp.'E'| (tptp.f @t9) |tptp.'0'|)))
% 0.36/0.56  (define @t11 () (forall (@list @t9 @t7) (or @t10 @t8)))
% 0.36/0.56  (define @t12 () (forall (@list @t9) @t10))
% 0.36/0.56  (define @t13 () (@quantifiers_skolemize @t12 0))
% 0.36/0.56  (define @t14 () (@list @t13))
% 0.36/0.56  (define @t15 () (forall (@list @t7) @t8))
% 0.36/0.56  (define @t16 () (|tptp.'E'| (tptp.f @t13) @t2))
% 0.36/0.56  (define @t17 () (@purify @t2))
% 0.36/0.56  (define @t18 () (|tptp.'AP'| @t3 @t17))
% 0.36/0.56  (define @t19 () (|tptp.'E'| (tptp.f @t18) |tptp.'0'|))
% 0.36/0.56  (assume @p1 (forall @t5 (|tptp.'LEQ'| (|tptp.'AP'| |tptp.'0'| @t1) @t4)))
% 0.36/0.56  (assume @p2 (forall @t5 (|tptp.'E'| (tptp.f @t4) |tptp.'0'|)))
% 0.36/0.56  (assume @p3 (forall (@list @t6) (|tptp.'E'| (tptp.f @t6) @t2)))
% 0.36/0.56  (assume @p4 @t11)
% 0.36/0.56  (assume @p5 (forall (@list @t1 @t6) (|tptp.'LEQ'| (|tptp.'AP'| @t2 @t1) @t6)))
% 0.36/0.56  (step @p6 :rule instantiate :premises (@p3) :args (@t14))
% 0.36/0.56  (assume-push @p23 @t15)
% 0.36/0.56  (step @p8 :rule instantiate :premises (@p23) :args (@t14))
% 0.36/0.56  (step-pop @p24 :rule scope :premises (@p8))
% 0.36/0.56  (step @p9 :rule process_scope :premises (@p24) :args ((not @t16)))
% 0.36/0.56  (step @p11 :rule implies_elim :premises (@p9))
% 0.36/0.56  (step @p12 :rule chain_m_resolution :premises (@p11 @p6) :args ((not @t15) (@list false) (@list @t16)))
% 0.36/0.56  (step @p13 :rule quant-miniscope-or :args ((= @t11 (or @t12 @t15))))
% 0.36/0.56  (step @p14 :rule eq_resolve :premises (@p4 @p13))
% 0.36/0.56  (step @p15 :rule chain_m_resolution :premises (@p14 @p12) :args (@t12 (@list true) (@list @t15)))
% 0.36/0.56  (step @p16 :rule instantiate :premises (@p2) :args ((@list @t17)))
% 0.36/0.56  (assume-push @p25 @t12)
% 0.36/0.56  (step @p18 :rule instantiate :premises (@p25) :args ((@list @t18)))
% 0.36/0.56  (step-pop @p26 :rule scope :premises (@p18))
% 0.36/0.56  (step @p19 :rule process_scope :premises (@p26) :args ((not @t19)))
% 0.36/0.56  (step @p21 :rule implies_elim :premises (@p19))
% 0.36/0.56  (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p15) :args (false (@list false false) (@list @t19 @t12)))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------