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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP137-1 : 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 : n008.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 0.28s 0.57s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP137-1 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n008.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Jun  2 00:54:03 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.28/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.28/0.57  % SZS status Unsatisfiable
% 0.28/0.57  % SZS output start Proof
% 0.36/0.57  (
% 0.36/0.57  (declare-sort $$unsorted 0)
% 0.36/0.57  (declare-const tptp.b $$unsorted)
% 0.36/0.57  (declare-const tptp.a $$unsorted)
% 0.36/0.57  (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.57  (declare-const tptp.identity $$unsorted)
% 0.36/0.57  (define @t1 () (@var "X" $$unsorted))
% 0.36/0.57  (define @t2 () (@list @t1))
% 0.36/0.57  (define @t3 () (@var "Z" $$unsorted))
% 0.36/0.57  (define @t4 () (@var "Y" $$unsorted))
% 0.36/0.57  (define @t5 () (tptp.multiply @t1 @t4))
% 0.36/0.57  (define @t6 () (@list @t1 @t4 @t3))
% 0.36/0.57  (define @t7 () (tptp.greatest_lower_bound @t1 @t4))
% 0.36/0.57  (define @t8 () (@list @t1 @t4))
% 0.36/0.57  (define @t9 () (tptp.least_upper_bound @t1 @t4))
% 0.36/0.57  (define @t10 () (tptp.greatest_lower_bound @t4 @t3))
% 0.36/0.57  (define @t11 () (tptp.least_upper_bound @t4 @t3))
% 0.36/0.57  (define @t12 () (tptp.multiply @t1 @t3))
% 0.36/0.57  (define @t13 () (tptp.multiply @t3 @t1))
% 0.36/0.57  (define @t14 () (tptp.multiply @t4 @t1))
% 0.36/0.57  (define @t15 () (@list @t4 @t3 @t1))
% 0.36/0.57  (define @t16 () (tptp.greatest_lower_bound tptp.a tptp.b))
% 0.36/0.57  (define @t17 () (= tptp.a tptp.b))
% 0.36/0.57  (define @t18 () (= tptp.a @t16))
% 0.36/0.57  (define @t19 () (= tptp.b @t16))
% 0.36/0.57  (define @t20 () (and @t18 @t19))
% 0.36/0.57  (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1)))
% 0.36/0.57  (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity)))
% 0.36/0.57  (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3)))))
% 0.36/0.57  (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1))))
% 0.36/0.57  (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1))))
% 0.36/0.57  (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3))))
% 0.36/0.57  (assume @p7 (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3))))
% 0.36/0.57  (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1)))
% 0.36/0.57  (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1)))
% 0.36/0.57  (assume @p10 (forall @t8 (= (tptp.least_upper_bound @t1 @t7) @t1)))
% 0.36/0.57  (assume @p11 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t9) @t1)))
% 0.36/0.57  (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t12))))
% 0.36/0.57  (assume @p13 (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t12))))
% 0.36/0.57  (assume @p14 (forall @t15 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t14 @t13))))
% 0.36/0.57  (assume @p15 (forall @t15 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t14 @t13))))
% 0.36/0.57  (assume @p16 (= @t16 tptp.a))
% 0.36/0.57  (assume @p17 (= @t16 tptp.b))
% 0.36/0.57  (assume @p18 (not @t17))
% 0.36/0.57  (step @p19 :rule symm :premises (@p16))
% 0.36/0.57  (step @p20 :rule symm :premises (@p17))
% 0.36/0.57  (assume-push @p32 @t18)
% 0.36/0.57  (assume-push @p33 @t19)
% 0.36/0.57  (step @p23 :rule trans :premises (@p19 @p17))
% 0.36/0.57  (step-pop @p34 :rule scope :premises (@p23))
% 0.36/0.57  (step-pop @p35 :rule scope :premises (@p34))
% 0.36/0.57  (step @p24 :rule process_scope :premises (@p35) :args (@t17))
% 0.36/0.57  (step @p27 :rule implies_elim :premises (@p24))
% 0.36/0.57  (step @p28 :rule cnf_and_neg :args (@t20))
% 0.36/0.57  (step @p29 :rule resolution :premises (@p28 @p27) :args (true @t20))
% 0.36/0.57  (step @p30 :rule reordering :premises (@p29) :args ((or @t17 (not @t18) (not @t19))))
% 0.36/0.57  (step @p31 false :rule chain_m_resolution :premises (@p30 @p18 @p20 @p19) :args (false (@list true false false) (@list @t17 @t19 @t18)))
% 0.36/0.57  )
% 0.36/0.57  % SZS output end Proof
% 0.36/0.57  % cvc5 exiting
%------------------------------------------------------------------------------