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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COL059-1 : 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 : 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 08:09:51 AM UTC 2026

% Result   : Unsatisfiable 15.18s 15.40s
% Output   : Proof 15.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : COL059-1 : 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
% 0.06/0.25  % Computer : n024.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Mon Jun  1 15:16:00 EDT 2026
% 0.06/0.25  % CPUTime  : 
% 0.15/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.34  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.11/15.37  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.18/15.40  % SZS status Unsatisfiable
% 15.18/15.40  % SZS output start Proof
% 15.18/15.40  (
% 15.18/15.40  (declare-sort $$unsorted 0)
% 15.18/15.40  (declare-const tptp.l3 $$unsorted)
% 15.18/15.40  (declare-const tptp.x2 $$unsorted)
% 15.18/15.40  (declare-const tptp.lark $$unsorted)
% 15.18/15.40  (declare-const tptp.l2 $$unsorted)
% 15.18/15.40  (declare-const tptp.response (-> $$unsorted $$unsorted $$unsorted))
% 15.18/15.40  (declare-const tptp.kestrel $$unsorted)
% 15.18/15.40  (define @t1 () (@var "X1" $$unsorted))
% 15.18/15.40  (define @t2 () (@var "X2" $$unsorted))
% 15.18/15.40  (define @t3 () (tptp.response (tptp.response tptp.kestrel @t1) @t2))
% 15.18/15.40  (define @t4 () (@list @t1 @t2))
% 15.18/15.40  (define @t5 () (forall @t4 (= @t3 @t1)))
% 15.18/15.40  (define @t6 () (tptp.response @t2 @t2))
% 15.18/15.40  (define @t7 () (tptp.response @t1 @t1))
% 15.18/15.40  (define @t8 () (tptp.response tptp.lark tptp.lark))
% 15.18/15.40  (define @t9 () (tptp.response tptp.x2 tptp.x2))
% 15.18/15.40  (define @t10 () (tptp.response @t8 tptp.lark))
% 15.18/15.40  (define @t11 () (forall @t4 (= (tptp.response (tptp.response @t10 @t1) @t2) (tptp.response (tptp.response @t7 @t7) @t9))))
% 15.18/15.40  (define @t12 () (tptp.response tptp.l2 tptp.l2))
% 15.18/15.40  (define @t13 () (not (= @t12 tptp.l2)))
% 15.18/15.40  (define @t14 () (tptp.response @t8 @t8))
% 15.18/15.40  (define @t15 () (tptp.response (tptp.response tptp.kestrel @t14) tptp.kestrel))
% 15.18/15.40  (define @t16 () (= @t14 @t15))
% 15.18/15.40  (define @t17 () (= @t15 @t14))
% 15.18/15.40  (define @t18 () (= tptp.l2 @t12))
% 15.18/15.40  (define @t19 () (@list tptp.kestrel tptp.lark))
% 15.18/15.40  (define @t20 () (tptp.response tptp.kestrel tptp.kestrel))
% 15.18/15.40  (define @t21 () (tptp.response @t20 @t20))
% 15.18/15.40  (define @t22 () (tptp.response (tptp.response @t10 tptp.kestrel) tptp.lark))
% 15.18/15.40  (define @t23 () (tptp.response @t21 @t9))
% 15.18/15.40  (define @t24 () (= @t22 @t23))
% 15.18/15.40  (define @t25 () (@list tptp.kestrel @t8))
% 15.18/15.40  (define @t26 () (forall @t4 (= @t1 @t3)))
% 15.18/15.40  (assume @p1 @t5)
% 15.18/15.40  (assume @p2 (forall @t4 (= (tptp.response (tptp.response tptp.lark @t1) @t2) (tptp.response @t1 @t6))))
% 15.18/15.40  (assume @p3 (forall @t4 (= (tptp.response (tptp.response @t8 @t1) @t2) (tptp.response @t7 @t6))))
% 15.18/15.40  (assume @p4 @t11)
% 15.18/15.40  (assume @p5 @t13)
% 15.18/15.40  (assume @p6 (= @t8 tptp.l2))
% 15.18/15.40  (assume @p7 (= (tptp.response tptp.l2 tptp.lark) tptp.l3))
% 15.18/15.40  (assume @p8 (= (tptp.response tptp.l3 tptp.l3) tptp.l3))
% 15.18/15.40  (step @p9 :rule eq-symm :args (@t3 @t1))
% 15.18/15.40  (step @p10 :rule cong :premises (@p9) :args (@t5))
% 15.18/15.40  (step @p11 :rule eq_resolve :premises (@p1 @p10))
% 15.18/15.40  (step @p12 :rule bool-eq-false :args (@t16))
% 15.18/15.40  (step @p13 :rule symm :premises (@p12))
% 15.18/15.40  (step @p14 :rule eq-symm :args (@t15 @t14))
% 15.18/15.40  (step @p15 :rule cong :premises (@p14) :args ((not @t17)))
% 15.18/15.40  (step @p16 :rule bool-eq-false :args (@t17))
% 15.18/15.40  (step @p17 :rule trans :premises (@p16 @p15))
% 15.18/15.40  (step @p18 :rule trans :premises (@p17 @p13))
% 15.18/15.40  (step @p19 :rule symm :premises (@p6))
% 15.18/15.40  (step @p20 :rule cong :premises (@p19 @p19) :args (@t12))
% 15.18/15.40  (step @p21 :rule cong :premises (@p19 @p20) :args (@t18))
% 15.18/15.40  (step @p22 :rule cong :premises (@p21) :args ((not @t18)))
% 15.18/15.40  (step @p23 :rule eq-symm :args (@t12 tptp.l2))
% 15.18/15.40  (step @p24 :rule cong :premises (@p23) :args (@t13))
% 15.18/15.40  (step @p25 :rule trans :premises (@p24 @p22))
% 15.18/15.40  (step @p26 :rule eq_resolve :premises (@p5 @p25))
% 15.18/15.40  (step @p27 :rule false_intro :premises (@p26))
% 15.18/15.40  (step @p28 :rule refl :args (@t14))
% 15.18/15.40  (step @p29 :rule instantiate :premises (@p11) :args ((@list @t8 tptp.kestrel)))
% 15.18/15.40  (step @p30 :rule symm :premises (@p29))
% 15.18/15.40  (step @p31 :rule refl :args (tptp.kestrel))
% 15.18/15.40  (step @p32 :rule instantiate :premises (@p2) :args (@t19))
% 15.18/15.40  (step @p33 :rule refl :args (tptp.lark))
% 15.18/15.40  (step @p34 :rule instantiate :premises (@p11) :args ((@list tptp.kestrel @t20)))
% 15.18/15.40  (step @p35 :rule symm :premises (@p34))
% 15.18/15.40  (step @p36 :rule cong :premises (@p33 @p35) :args ((tptp.response tptp.lark @t21)))
% 15.18/15.40  (step @p37 :rule instantiate :premises (@p2) :args ((@list tptp.lark @t20)))
% 15.18/15.40  (step @p38 :rule instantiate :premises (@p3) :args ((@list tptp.lark tptp.kestrel)))
% 15.18/15.40  (step @p39 :rule trans :premises (@p38 @p37 @p36))
% 15.18/15.40  (step @p40 :rule cong :premises (@p39 @p33) :args (@t22))
% 15.18/15.40  (step @p41 :rule eq-symm :args (@t22 @t23))
% 15.18/15.40  (step @p42 :rule refl :args (@t11))
% 15.18/15.40  (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t11 @t24)))
% 15.18/15.40  (assume-push @p70 @t11)
% 15.18/15.40  (step @p45 :rule instantiate :premises (@p4) :args (@t19))
% 15.18/15.40  (step-pop @p71 :rule scope :premises (@p45))
% 15.18/15.40  (step @p46 :rule process_scope :premises (@p71) :args (@t24))
% 15.18/15.40  (step @p48 :rule eq_resolve :premises (@p46 @p43))
% 15.18/15.40  (step @p49 :rule implies_elim :premises (@p48))
% 15.18/15.40  (step @p50 :rule chain_m_resolution :premises (@p49 @p4) :args ((= @t23 @t22) (@list false) (@list @t11)))
% 15.18/15.40  (step @p51 :rule instantiate :premises (@p4) :args (@t25))
% 15.18/15.40  (step @p52 :rule refl :args (@t8))
% 15.18/15.40  (step @p53 :rule symm :premises (@p39))
% 15.18/15.40  (step @p54 :rule cong :premises (@p53 @p52) :args ((tptp.response (tptp.response tptp.lark tptp.kestrel) @t8)))
% 15.18/15.40  (step @p55 :rule instantiate :premises (@p2) :args (@t25))
% 15.18/15.40  (step @p56 :rule symm :premises (@p55))
% 15.18/15.40  (step @p57 :rule trans :premises (@p56 @p54 @p51 @p50 @p40 @p32))
% 15.18/15.40  (step @p58 :rule cong :premises (@p57 @p31) :args (@t15))
% 15.18/15.40  (step @p59 :rule trans :premises (@p58 @p30))
% 15.18/15.40  (step @p60 :rule cong :premises (@p59 @p28) :args (@t17))
% 15.18/15.40  (step @p61 :rule trans :premises (@p60 @p27))
% 15.18/15.40  (step @p62 :rule eq_resolve :premises (@p61 @p18))
% 15.18/15.40  (step @p63 :rule false_elim :premises (@p62))
% 15.18/15.40  (assume-push @p72 @t26)
% 15.18/15.40  (step @p65 :rule instantiate :premises (@p11) :args ((@list @t14 tptp.kestrel)))
% 15.18/15.40  (step-pop @p73 :rule scope :premises (@p65))
% 15.18/15.40  (step @p66 :rule process_scope :premises (@p73) :args (@t16))
% 15.18/15.40  (step @p68 :rule implies_elim :premises (@p66))
% 15.18/15.40  (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p11) :args (false (@list true false) (@list @t16 @t26)))
% 15.18/15.40  )
% 15.18/15.40  % SZS output end Proof
% 15.18/15.40  % cvc5 exiting
%------------------------------------------------------------------------------