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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP142-1 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 08:20:00 AM UTC 2026

% Result   : Unsatisfiable 0.32s 0.53s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP142-1 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.12/0.12  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n027.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 00:54:06 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.53  % SZS status Unsatisfiable
% 0.32/0.53  % SZS output start Proof
% 0.32/0.53  (
% 0.32/0.53  (declare-sort $$unsorted 0)
% 0.32/0.53  (declare-const tptp.b $$unsorted)
% 0.32/0.53  (declare-const tptp.a $$unsorted)
% 0.32/0.53  (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.32/0.53  (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.32/0.53  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.32/0.53  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.32/0.53  (declare-const tptp.identity $$unsorted)
% 0.32/0.53  (define @t1 () (@var "X" $$unsorted))
% 0.32/0.53  (define @t2 () (@list @t1))
% 0.32/0.53  (define @t3 () (@var "Z" $$unsorted))
% 0.32/0.53  (define @t4 () (@var "Y" $$unsorted))
% 0.32/0.53  (define @t5 () (tptp.multiply @t1 @t4))
% 0.32/0.53  (define @t6 () (@list @t1 @t4 @t3))
% 0.32/0.53  (define @t7 () (tptp.greatest_lower_bound @t1 @t4))
% 0.32/0.53  (define @t8 () (@list @t1 @t4))
% 0.32/0.53  (define @t9 () (tptp.least_upper_bound @t1 @t4))
% 0.32/0.53  (define @t10 () (tptp.greatest_lower_bound @t4 @t3))
% 0.32/0.53  (define @t11 () (tptp.least_upper_bound @t4 @t3))
% 0.32/0.53  (define @t12 () (tptp.least_upper_bound @t1 @t7))
% 0.32/0.53  (define @t13 () (forall @t8 (= @t12 @t1)))
% 0.32/0.53  (define @t14 () (tptp.multiply @t1 @t3))
% 0.32/0.53  (define @t15 () (tptp.multiply @t3 @t1))
% 0.32/0.53  (define @t16 () (tptp.multiply @t4 @t1))
% 0.32/0.53  (define @t17 () (@list @t4 @t3 @t1))
% 0.32/0.53  (define @t18 () (tptp.greatest_lower_bound tptp.a tptp.b))
% 0.32/0.53  (define @t19 () (tptp.least_upper_bound @t18 tptp.a))
% 0.32/0.53  (define @t20 () (tptp.least_upper_bound tptp.a @t18))
% 0.32/0.53  (define @t21 () (= tptp.a @t20))
% 0.32/0.53  (define @t22 () (not @t21))
% 0.32/0.53  (define @t23 () (= @t19 @t20))
% 0.32/0.53  (define @t24 () (not @t23))
% 0.32/0.53  (define @t25 () (= tptp.a @t19))
% 0.32/0.53  (define @t26 () (not @t25))
% 0.32/0.53  (define @t27 () (and @t26 @t23))
% 0.32/0.53  (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1)))
% 0.32/0.53  (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity)))
% 0.32/0.53  (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3)))))
% 0.32/0.53  (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1))))
% 0.32/0.53  (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1))))
% 0.32/0.53  (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3))))
% 0.32/0.53  (assume @p7 (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3))))
% 0.32/0.53  (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1)))
% 0.32/0.53  (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1)))
% 0.32/0.53  (assume @p10 @t13)
% 0.32/0.53  (assume @p11 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t9) @t1)))
% 0.32/0.53  (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t14))))
% 0.32/0.53  (assume @p13 (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t14))))
% 0.32/0.53  (assume @p14 (forall @t17 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t16 @t15))))
% 0.32/0.53  (assume @p15 (forall @t17 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t16 @t15))))
% 0.32/0.53  (assume @p16 (not (= @t19 tptp.a)))
% 0.32/0.53  (step @p17 :rule symm :premises (@p16))
% 0.32/0.53  (step @p18 :rule instantiate :premises (@p5) :args ((@list @t18 tptp.a)))
% 0.32/0.53  (step @p19 :rule eq-symm :args (@t12 @t1))
% 0.32/0.53  (step @p20 :rule cong :premises (@p19) :args (@t13))
% 0.32/0.53  (step @p21 :rule eq_resolve :premises (@p10 @p20))
% 0.32/0.53  (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.a tptp.b)))
% 0.32/0.53  (step @p23 :rule refl :args (@t22))
% 0.32/0.53  (step @p24 :rule refl :args (@t24))
% 0.32/0.53  (step @p25 :rule bool-double-not-elim :args (@t25))
% 0.32/0.53  (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args ((or (not @t26) @t24 @t22)))
% 0.32/0.53  (assume-push @p43 @t26)
% 0.32/0.53  (assume-push @p44 @t23)
% 0.32/0.53  (step @p29 :rule false_intro :premises (@p17))
% 0.32/0.53  (step @p30 :rule symm :premises (@p18))
% 0.32/0.53  (step @p31 :rule refl :args (tptp.a))
% 0.32/0.53  (step @p32 :rule cong :premises (@p31 @p30) :args (@t21))
% 0.32/0.53  (step @p33 :rule trans :premises (@p32 @p29))
% 0.32/0.53  (step @p34 :rule false_elim :premises (@p33))
% 0.32/0.53  (step-pop @p45 :rule scope :premises (@p34))
% 0.32/0.53  (step-pop @p46 :rule scope :premises (@p45))
% 0.32/0.53  (step @p35 :rule process_scope :premises (@p46) :args (@t22))
% 0.32/0.53  (step @p38 :rule implies_elim :premises (@p35))
% 0.32/0.53  (step @p39 :rule cnf_and_neg :args (@t27))
% 0.32/0.53  (step @p40 :rule resolution :premises (@p39 @p38) :args (true @t27))
% 0.32/0.53  (step @p41 :rule eq_resolve :premises (@p40 @p26))
% 0.32/0.53  (step @p42 false :rule chain_m_resolution :premises (@p41 @p22 @p18 @p17) :args (false (@list false false true) (@list @t21 @t23 @t25)))
% 0.32/0.53  )
% 0.32/0.53  % SZS output end Proof
% 0.32/0.54  % cvc5 exiting
%------------------------------------------------------------------------------