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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT171-1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:29:52 AM UTC 2026

% Result   : Unsatisfiable 16.12s 16.50s
% Output   : Proof 16.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT171-1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n003.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 05:55:14 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 16.02/16.27  --- Run --no-e-matching --full-saturate-quant at 6...
% 16.12/16.50  % SZS status Unsatisfiable
% 16.12/16.50  % SZS output start Proof
% 16.12/16.50  (
% 16.12/16.50  (declare-sort $$unsorted 0)
% 16.12/16.50  (declare-const tptp.c $$unsorted)
% 16.12/16.50  (declare-const tptp.b $$unsorted)
% 16.12/16.50  (declare-const tptp.a $$unsorted)
% 16.12/16.50  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 16.12/16.50  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 16.12/16.50  (define @t1 () (@var "X" $$unsorted))
% 16.12/16.50  (define @t2 () (@list @t1))
% 16.12/16.50  (define @t3 () (@var "Y" $$unsorted))
% 16.12/16.50  (define @t4 () (tptp.join @t1 @t3))
% 16.12/16.50  (define @t5 () (tptp.meet @t1 @t4))
% 16.12/16.50  (define @t6 () (@list @t1 @t3))
% 16.12/16.50  (define @t7 () (forall @t6 (= @t5 @t1)))
% 16.12/16.50  (define @t8 () (tptp.meet @t1 @t3))
% 16.12/16.50  (define @t9 () (tptp.join @t1 @t8))
% 16.12/16.50  (define @t10 () (forall @t6 (= @t9 @t1)))
% 16.12/16.50  (define @t11 () (@var "Z" $$unsorted))
% 16.12/16.50  (define @t12 () (@list @t1 @t3 @t11))
% 16.12/16.50  (define @t13 () (tptp.join tptp.a tptp.b))
% 16.12/16.50  (define @t14 () (tptp.meet tptp.c @t13))
% 16.12/16.50  (define @t15 () (tptp.meet tptp.a tptp.c))
% 16.12/16.50  (define @t16 () (tptp.join tptp.b @t15))
% 16.12/16.50  (define @t17 () (tptp.meet tptp.a @t16))
% 16.12/16.50  (define @t18 () (= @t17 (tptp.meet tptp.a (tptp.join @t17 @t14))))
% 16.12/16.50  (define @t19 () (not @t18))
% 16.12/16.50  (define @t20 () (@list tptp.a tptp.c))
% 16.12/16.50  (define @t21 () (tptp.join @t15 tptp.b))
% 16.12/16.50  (define @t22 () (tptp.join tptp.a @t16))
% 16.12/16.50  (define @t23 () (tptp.meet @t22 tptp.c))
% 16.12/16.50  (define @t24 () (tptp.join @t17 @t23))
% 16.12/16.50  (define @t25 () (tptp.meet tptp.a @t24))
% 16.12/16.50  (define @t26 () (tptp.join @t17 @t15))
% 16.12/16.50  (define @t27 () (= @t26 @t25))
% 16.12/16.50  (define @t28 () (not @t27))
% 16.12/16.50  (define @t29 () (tptp.meet @t17 tptp.c))
% 16.12/16.50  (define @t30 () (= @t17 (tptp.join @t17 @t29)))
% 16.12/16.50  (define @t31 () (not @t30))
% 16.12/16.50  (define @t32 () (tptp.meet tptp.a @t21))
% 16.12/16.50  (define @t33 () (tptp.meet tptp.c @t32))
% 16.12/16.50  (define @t34 () (tptp.meet tptp.c tptp.a))
% 16.12/16.50  (define @t35 () (= (tptp.meet @t34 @t21) @t33))
% 16.12/16.50  (define @t36 () (not @t35))
% 16.12/16.50  (define @t37 () (= (tptp.meet tptp.c @t17) @t29))
% 16.12/16.50  (define @t38 () (not @t37))
% 16.12/16.50  (define @t39 () (tptp.meet @t15 @t21))
% 16.12/16.50  (define @t40 () (= @t15 @t39))
% 16.12/16.50  (define @t41 () (not @t40))
% 16.12/16.50  (define @t42 () (tptp.join tptp.a @t15))
% 16.12/16.50  (define @t43 () (tptp.join @t42 tptp.b))
% 16.12/16.50  (define @t44 () (= @t43 (tptp.join tptp.a @t21)))
% 16.12/16.50  (define @t45 () (not @t44))
% 16.12/16.50  (define @t46 () (= @t14 (tptp.meet @t13 tptp.c)))
% 16.12/16.50  (define @t47 () (not @t46))
% 16.12/16.50  (define @t48 () (= @t16 @t21))
% 16.12/16.50  (define @t49 () (not @t48))
% 16.12/16.50  (define @t50 () (= tptp.a @t42))
% 16.12/16.50  (define @t51 () (not @t50))
% 16.12/16.50  (define @t52 () (= @t15 @t34))
% 16.12/16.50  (define @t53 () (not @t52))
% 16.12/16.50  (define @t54 () (and @t19 @t52 @t50 @t48 @t46 @t44 @t40 @t37 @t35 @t30))
% 16.12/16.50  (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1)))
% 16.12/16.50  (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1)))
% 16.12/16.50  (assume @p3 @t7)
% 16.12/16.50  (assume @p4 @t10)
% 16.12/16.50  (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1))))
% 16.12/16.50  (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1))))
% 16.12/16.50  (assume @p7 (forall @t12 (= (tptp.meet @t8 @t11) (tptp.meet @t1 (tptp.meet @t3 @t11)))))
% 16.12/16.50  (assume @p8 (forall @t12 (= (tptp.join @t4 @t11) (tptp.join @t1 (tptp.join @t3 @t11)))))
% 16.12/16.50  (assume @p9 (forall @t12 (= (tptp.join @t8 (tptp.meet @t1 @t11)) (tptp.meet @t1 (tptp.join @t8 (tptp.meet @t4 @t11))))))
% 16.12/16.50  (assume @p10 @t19)
% 16.12/16.50  (step @p11 :rule instantiate :premises (@p5) :args (@t20))
% 16.12/16.50  (step @p12 :rule eq-symm :args (@t9 @t1))
% 16.12/16.50  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 16.12/16.50  (step @p14 :rule eq_resolve :premises (@p4 @p13))
% 16.12/16.50  (step @p15 :rule instantiate :premises (@p14) :args (@t20))
% 16.12/16.50  (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.b @t15)))
% 16.12/16.50  (step @p17 :rule instantiate :premises (@p5) :args ((@list tptp.c @t13)))
% 16.12/16.50  (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.a @t15 tptp.b)))
% 16.12/16.50  (step @p19 :rule eq-symm :args (@t5 @t1))
% 16.12/16.50  (step @p20 :rule cong :premises (@p19) :args (@t7))
% 16.12/16.50  (step @p21 :rule eq_resolve :premises (@p3 @p20))
% 16.12/16.50  (step @p22 :rule instantiate :premises (@p21) :args ((@list @t15 tptp.b)))
% 16.12/16.50  (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.c @t17)))
% 16.12/16.50  (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a @t21)))
% 16.12/16.50  (step @p25 :rule instantiate :premises (@p14) :args ((@list @t17 tptp.c)))
% 16.12/16.50  (step @p26 :rule instantiate :premises (@p9) :args ((@list tptp.a @t16 tptp.c)))
% 16.12/16.50  (step @p27 :rule refl :args (@t28))
% 16.12/16.50  (step @p28 :rule refl :args (@t31))
% 16.12/16.50  (step @p29 :rule refl :args (@t36))
% 16.12/16.50  (step @p30 :rule refl :args (@t38))
% 16.12/16.50  (step @p31 :rule refl :args (@t41))
% 16.12/16.50  (step @p32 :rule refl :args (@t45))
% 16.12/16.50  (step @p33 :rule refl :args (@t47))
% 16.12/16.50  (step @p34 :rule refl :args (@t49))
% 16.12/16.50  (step @p35 :rule refl :args (@t51))
% 16.12/16.50  (step @p36 :rule refl :args (@t53))
% 16.12/16.50  (step @p37 :rule bool-double-not-elim :args (@t18))
% 16.12/16.50  (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27) :args ((or (not @t19) @t53 @t51 @t49 @t47 @t45 @t41 @t38 @t36 @t31 @t28)))
% 16.12/16.50  (assume-push @p92 @t19)
% 16.12/16.50  (assume-push @p93 @t52)
% 16.12/16.50  (assume-push @p94 @t50)
% 16.12/16.50  (assume-push @p95 @t48)
% 16.12/16.50  (assume-push @p96 @t46)
% 16.12/16.50  (assume-push @p97 @t44)
% 16.12/16.50  (assume-push @p98 @t40)
% 16.12/16.50  (assume-push @p99 @t37)
% 16.12/16.50  (assume-push @p100 @t35)
% 16.12/16.50  (assume-push @p101 @t30)
% 16.12/16.50  (step @p49 :rule false_intro :premises (@p10))
% 16.12/16.50  (step @p50 :rule symm :premises (@p17))
% 16.12/16.50  (step @p51 :rule refl :args (tptp.c))
% 16.12/16.50  (step @p52 :rule refl :args (tptp.b))
% 16.12/16.50  (step @p53 :rule symm :premises (@p15))
% 16.12/16.50  (step @p54 :rule cong :premises (@p53 @p52) :args (@t43))
% 16.12/16.50  (step @p55 :rule symm :premises (@p18))
% 16.12/16.50  (step @p56 :rule refl :args (tptp.a))
% 16.12/16.50  (step @p57 :rule cong :premises (@p56 @p16) :args (@t22))
% 16.12/16.50  (step @p58 :rule trans :premises (@p57 @p55 @p54))
% 16.12/16.50  (step @p59 :rule cong :premises (@p58 @p51) :args (@t23))
% 16.12/16.50  (step @p60 :rule trans :premises (@p59 @p50))
% 16.12/16.50  (step @p61 :rule refl :args (@t17))
% 16.12/16.50  (step @p62 :rule cong :premises (@p61 @p60) :args (@t24))
% 16.12/16.50  (step @p63 :rule cong :premises (@p56 @p62) :args (@t25))
% 16.12/16.50  (step @p64 :rule symm :premises (@p25))
% 16.12/16.50  (step @p65 :rule symm :premises (@p16))
% 16.12/16.50  (step @p66 :rule cong :premises (@p56 @p65) :args (@t32))
% 16.12/16.50  (step @p67 :rule cong :premises (@p51 @p66) :args (@t33))
% 16.12/16.50  (step @p68 :rule refl :args (@t21))
% 16.12/16.50  (step @p69 :rule cong :premises (@p11 @p68) :args (@t39))
% 16.12/16.50  (step @p70 :rule trans :premises (@p22 @p69 @p24 @p67 @p23))
% 16.12/16.50  (step @p71 :rule cong :premises (@p61 @p70) :args (@t26))
% 16.12/16.50  (step @p72 :rule trans :premises (@p71 @p64))
% 16.12/16.50  (step @p73 :rule cong :premises (@p72 @p63) :args (@t27))
% 16.12/16.50  (step @p74 :rule trans :premises (@p73 @p49))
% 16.12/16.50  (step @p75 :rule false_elim :premises (@p74))
% 16.12/16.50  (step-pop @p102 :rule scope :premises (@p75))
% 16.12/16.50  (step-pop @p103 :rule scope :premises (@p102))
% 16.12/16.50  (step-pop @p104 :rule scope :premises (@p103))
% 16.12/16.50  (step-pop @p105 :rule scope :premises (@p104))
% 16.12/16.50  (step-pop @p106 :rule scope :premises (@p105))
% 16.12/16.50  (step-pop @p107 :rule scope :premises (@p106))
% 16.12/16.50  (step-pop @p108 :rule scope :premises (@p107))
% 16.12/16.50  (step-pop @p109 :rule scope :premises (@p108))
% 16.12/16.50  (step-pop @p110 :rule scope :premises (@p109))
% 16.12/16.50  (step-pop @p111 :rule scope :premises (@p110))
% 16.12/16.50  (step @p76 :rule process_scope :premises (@p111) :args (@t28))
% 16.12/16.50  (step @p87 :rule implies_elim :premises (@p76))
% 16.12/16.50  (step @p88 :rule cnf_and_neg :args (@t54))
% 16.12/16.50  (step @p89 :rule resolution :premises (@p88 @p87) :args (true @t54))
% 16.12/16.50  (step @p90 :rule eq_resolve :premises (@p89 @p38))
% 16.12/16.50  (step @p91 false :rule chain_m_resolution :premises (@p90 @p26 @p25 @p24 @p23 @p22 @p18 @p17 @p16 @p15 @p11 @p10) :args (false (@list false false false false false false false false false false true) (@list @t27 @t30 @t35 @t37 @t40 @t44 @t46 @t48 @t50 @t52 @t18)))
% 16.12/16.50  )
% 16.12/16.50  % SZS output end Proof
% 16.12/16.51  % cvc5 exiting
%------------------------------------------------------------------------------