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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT090-1 : TPTP v9.2.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 08:29:44 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.55s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT090-1 : TPTP v9.2.1. Released v2.6.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n016.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 : Tue Jun  2 05:49:39 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Unsatisfiable
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.a $$unsorted)
% 0.30/0.55  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "A" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t3 () (tptp.join @t1 @t2))
% 0.30/0.55  (define @t4 () (tptp.meet @t1 @t2))
% 0.30/0.55  (define @t5 () (tptp.join @t4 (tptp.meet @t1 @t3)))
% 0.30/0.55  (define @t6 () (@list @t1 @t2))
% 0.30/0.55  (define @t7 () (forall @t6 (= @t5 @t1)))
% 0.30/0.55  (define @t8 () (tptp.join @t4 (tptp.meet @t2 @t3)))
% 0.30/0.55  (define @t9 () (forall @t6 (= @t8 @t2)))
% 0.30/0.55  (define @t10 () (@var "C" $$unsorted))
% 0.30/0.55  (define @t11 () (tptp.meet (tptp.meet @t3 (tptp.join @t10 @t1)) @t1))
% 0.30/0.55  (define @t12 () (@list @t1 @t2 @t10))
% 0.30/0.55  (define @t13 () (forall @t12 (= @t11 @t1)))
% 0.30/0.55  (define @t14 () (tptp.join (tptp.join @t4 (tptp.meet @t10 @t1)) @t1))
% 0.30/0.55  (define @t15 () (forall @t12 (= @t14 @t1)))
% 0.30/0.55  (define @t16 () (tptp.join tptp.a tptp.a))
% 0.30/0.55  (define @t17 () (tptp.meet @t16 @t16))
% 0.30/0.55  (define @t18 () (tptp.meet tptp.a (tptp.join @t17 tptp.a)))
% 0.30/0.55  (define @t19 () (tptp.meet tptp.a tptp.a))
% 0.30/0.55  (define @t20 () (tptp.meet tptp.a @t18))
% 0.30/0.55  (define @t21 () (tptp.join @t20 @t19))
% 0.30/0.55  (define @t22 () (tptp.join @t21 tptp.a))
% 0.30/0.55  (define @t23 () (= tptp.a @t22))
% 0.30/0.55  (define @t24 () (forall @t12 (= @t1 @t14)))
% 0.30/0.55  (assume @p1 @t7)
% 0.30/0.55  (assume @p2 (forall @t6 (= (tptp.join (tptp.meet @t1 @t1) (tptp.meet @t2 (tptp.join @t1 @t1))) @t1)))
% 0.30/0.55  (assume @p3 @t9)
% 0.30/0.55  (assume @p4 @t13)
% 0.30/0.55  (assume @p5 @t15)
% 0.30/0.55  (assume @p6 (not (= @t16 tptp.a)))
% 0.30/0.55  (step @p7 :rule eq-symm :args (@t14 @t1))
% 0.30/0.55  (step @p8 :rule cong :premises (@p7) :args (@t15))
% 0.30/0.55  (step @p9 :rule eq_resolve :premises (@p5 @p8))
% 0.30/0.55  (step @p10 :rule symm :premises (@p6))
% 0.30/0.55  (step @p11 :rule false_intro :premises (@p10))
% 0.30/0.55  (step @p12 :rule refl :args (tptp.a))
% 0.30/0.55  (step @p13 :rule eq-symm :args (@t5 @t1))
% 0.30/0.55  (step @p14 :rule cong :premises (@p13) :args (@t7))
% 0.30/0.55  (step @p15 :rule eq_resolve :premises (@p1 @p14))
% 0.30/0.55  (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.a @t18)))
% 0.30/0.55  (step @p17 :rule symm :premises (@p16))
% 0.30/0.55  (step @p18 :rule refl :args (@t18))
% 0.30/0.55  (step @p19 :rule eq-symm :args (@t11 @t1))
% 0.30/0.55  (step @p20 :rule cong :premises (@p19) :args (@t13))
% 0.30/0.55  (step @p21 :rule eq_resolve :premises (@p4 @p20))
% 0.30/0.55  (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.a tptp.a tptp.a)))
% 0.30/0.55  (step @p23 :rule symm :premises (@p22))
% 0.30/0.55  (step @p24 :rule cong :premises (@p23 @p18) :args ((tptp.join (tptp.meet @t17 tptp.a) @t18)))
% 0.30/0.55  (step @p25 :rule eq-symm :args (@t8 @t2))
% 0.30/0.55  (step @p26 :rule cong :premises (@p25) :args (@t9))
% 0.30/0.55  (step @p27 :rule eq_resolve :premises (@p3 @p26))
% 0.30/0.55  (step @p28 :rule instantiate :premises (@p27) :args ((@list @t17 tptp.a)))
% 0.30/0.55  (step @p29 :rule trans :premises (@p28 @p24))
% 0.30/0.55  (step @p30 :rule cong :premises (@p12 @p29) :args (@t19))
% 0.30/0.55  (step @p31 :rule refl :args (@t20))
% 0.30/0.55  (step @p32 :rule cong :premises (@p31 @p30) :args (@t21))
% 0.30/0.55  (step @p33 :rule trans :premises (@p32 @p17))
% 0.30/0.55  (step @p34 :rule cong :premises (@p33 @p12) :args (@t22))
% 0.30/0.55  (step @p35 :rule cong :premises (@p12 @p34) :args (@t23))
% 0.30/0.55  (step @p36 :rule trans :premises (@p35 @p11))
% 0.30/0.55  (step @p37 :rule false_elim :premises (@p36))
% 0.30/0.55  (assume-push @p44 @t24)
% 0.30/0.55  (step @p39 :rule instantiate :premises (@p9) :args ((@list tptp.a @t18 tptp.a)))
% 0.30/0.55  (step-pop @p45 :rule scope :premises (@p39))
% 0.30/0.55  (step @p40 :rule process_scope :premises (@p45) :args (@t23))
% 0.30/0.55  (step @p42 :rule implies_elim :premises (@p40))
% 0.30/0.55  (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p9) :args (false (@list true false) (@list @t23 @t24)))
% 0.30/0.55  )
% 0.37/0.55  % SZS output end Proof
% 0.37/0.55  % cvc5 exiting
%------------------------------------------------------------------------------