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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : HEN002-2 : 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 : n024.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 08:22:49 AM UTC 2026

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : HEN002-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Mon Jun  1 21:13:45 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.14/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.14/0.36  % SZS status Unsatisfiable
% 0.14/0.36  % SZS output start Proof
% 0.14/0.36  (
% 0.14/0.36  (declare-sort $$unsorted 0)
% 0.14/0.36  (declare-const tptp.x $$unsorted)
% 0.14/0.36  (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted))
% 0.14/0.36  (declare-const tptp.identity $$unsorted)
% 0.14/0.36  (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool))
% 0.14/0.36  (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.14/0.36  (declare-const tptp.zero $$unsorted)
% 0.14/0.36  (define @t1 () (@var "Y" $$unsorted))
% 0.14/0.36  (define @t2 () (@var "X" $$unsorted))
% 0.14/0.36  (define @t3 () (tptp.quotient @t2 @t1 tptp.zero))
% 0.14/0.36  (define @t4 () (tptp.less_equal @t2 @t1))
% 0.14/0.36  (define @t5 () (not @t4))
% 0.14/0.36  (define @t6 () (@list @t2 @t1))
% 0.14/0.36  (define @t7 () (@var "Z" $$unsorted))
% 0.14/0.36  (define @t8 () (not (tptp.quotient @t2 @t1 @t7)))
% 0.14/0.36  (define @t9 () (@var "V5" $$unsorted))
% 0.14/0.36  (define @t10 () (@var "V4" $$unsorted))
% 0.14/0.36  (define @t11 () (@var "V1" $$unsorted))
% 0.14/0.36  (define @t12 () (@var "V2" $$unsorted))
% 0.14/0.36  (define @t13 () (@var "V3" $$unsorted))
% 0.14/0.36  (define @t14 () (@list @t2))
% 0.14/0.36  (define @t15 () (forall @t14 (tptp.less_equal tptp.zero @t2)))
% 0.14/0.36  (define @t16 () (@var "W" $$unsorted))
% 0.14/0.36  (define @t17 () (tptp.quotient tptp.zero tptp.x tptp.zero))
% 0.14/0.36  (define @t18 () (tptp.less_equal tptp.zero tptp.x))
% 0.14/0.36  (define @t19 () (not @t18))
% 0.14/0.36  (define @t20 () (or @t19 @t17))
% 0.14/0.36  (define @t21 () (@list true false))
% 0.14/0.36  (assume @p1 (forall @t6 (or @t5 @t3)))
% 0.14/0.36  (assume @p2 (forall @t6 (or (not @t3) @t4)))
% 0.14/0.36  (assume @p3 (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2))))
% 0.14/0.36  (assume @p4 (forall (@list @t2 @t1 @t11 @t7 @t12 @t13 @t10 @t9) (or (not (tptp.quotient @t2 @t1 @t11)) (not (tptp.quotient @t1 @t7 @t12)) (not (tptp.quotient @t2 @t7 @t13)) (not (tptp.quotient @t13 @t12 @t10)) (not (tptp.quotient @t11 @t7 @t9)) (tptp.less_equal @t10 @t9))))
% 0.14/0.36  (assume @p5 @t15)
% 0.14/0.36  (assume @p6 (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1))))
% 0.14/0.36  (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity)))
% 0.14/0.36  (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1))))
% 0.14/0.36  (assume @p9 (forall (@list @t2 @t1 @t7 @t16) (or @t8 (not (tptp.quotient @t2 @t1 @t16)) (= @t7 @t16))))
% 0.14/0.36  (assume @p10 (forall @t14 (tptp.quotient @t2 tptp.identity tptp.zero)))
% 0.14/0.36  (assume @p11 (not @t17))
% 0.14/0.36  (step @p12 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.x)))
% 0.14/0.36  (step @p13 :rule cnf_or_pos :args (@t20))
% 0.14/0.36  (step @p14 :rule reordering :premises (@p13) :args ((or @t17 @t19 (not @t20))))
% 0.14/0.36  (step @p15 :rule chain_m_resolution :premises (@p14 @p11 @p12) :args (@t19 @t21 (@list @t17 @t20)))
% 0.14/0.36  (assume-push @p22 @t15)
% 0.14/0.36  (step @p17 :rule instantiate :premises (@p5) :args ((@list tptp.x)))
% 0.14/0.36  (step-pop @p23 :rule scope :premises (@p17))
% 0.14/0.36  (step @p18 :rule process_scope :premises (@p23) :args (@t18))
% 0.14/0.36  (step @p20 :rule implies_elim :premises (@p18))
% 0.14/0.36  (step @p21 false :rule chain_m_resolution :premises (@p20 @p15 @p5) :args (false @t21 (@list @t18 @t15)))
% 0.14/0.36  )
% 0.14/0.36  % SZS output end Proof
% 0.14/0.36  % cvc5 exiting
%------------------------------------------------------------------------------