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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT059_1 : TPTP v9.2.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:14:26 AM UTC 2026

% Result   : Theorem 0.28s 0.53s
% Output   : Proof 0.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : DAT059_1 : TPTP v9.2.1. Released v5.5.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n016.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 : Mon Jun  1 22:28:09 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.28/0.48  %----Proving TF0_ARI
% 0.28/0.53  --- Run --finite-model-find --decision=internal at 45...
% 0.28/0.53  % SZS status Theorem
% 0.28/0.53  % SZS output start Proof
% 0.28/0.53  (
% 0.28/0.53  (declare-sort tptp.array 0)
% 0.28/0.53  (declare-sort tptp.data 0)
% 0.28/0.53  (declare-const tptp.put (-> tptp.array Int tptp.data tptp.array))
% 0.28/0.53  (declare-const tptp.get (-> tptp.array Int tptp.data))
% 0.28/0.53  (declare-const tptp.mkarray tptp.array)
% 0.28/0.53  (declare-const tptp.none tptp.data)
% 0.28/0.53  (define @t1 () (@var "M" Int))
% 0.28/0.53  (define @t2 () (@var "D" tptp.data))
% 0.28/0.53  (define @t3 () (@var "Ar" tptp.array))
% 0.28/0.53  (define @t4 () (@var "N" Int))
% 0.28/0.53  (define @t5 () (@var "D1" tptp.data))
% 0.28/0.53  (define @t6 () (tptp.put @t3 @t1 @t5))
% 0.28/0.53  (define @t7 () (@var "D2" tptp.data))
% 0.28/0.53  (define @t8 () (tptp.put @t3 @t1 @t7))
% 0.28/0.53  (define @t9 () (forall (@list @t7 @t3 @t1 @t5) (= (tptp.put @t8 @t1 @t5) @t6)))
% 0.28/0.53  (define @t10 () (@var "Ar0" tptp.array))
% 0.28/0.53  (define @t11 () (tptp.put @t6 @t1 @t7))
% 0.28/0.53  (define @t12 () (@list @t5 @t3 @t1 @t7))
% 0.28/0.53  (define @t13 () (forall @t12 (= @t11 @t8)))
% 0.28/0.53  (define @t14 () (not @t13))
% 0.28/0.53  (define @t15 () (@var "BOUND_VARIABLE_7528" tptp.data))
% 0.28/0.53  (define @t16 () (@var "BOUND_VARIABLE_7527" Int))
% 0.28/0.53  (define @t17 () (@var "BOUND_VARIABLE_7529" tptp.array))
% 0.28/0.53  (define @t18 () (@var "BOUND_VARIABLE_7530" tptp.data))
% 0.28/0.53  (define @t19 () (@list @t16 @t15 @t17 @t18))
% 0.28/0.53  (define @t20 () (forall @t12 (= @t8 @t11)))
% 0.28/0.53  (define @t21 () (@list false))
% 0.28/0.53  (assume @p1 (forall (@list @t1) (= (tptp.get tptp.mkarray @t1) tptp.none)))
% 0.28/0.53  (assume @p2 (forall (@list @t3 @t1 @t2) (= (tptp.get (tptp.put @t3 @t1 @t2) @t1) @t2)))
% 0.28/0.53  (assume @p3 (forall (@list @t4 @t2 @t3 @t1) (=> (not (= @t1 @t4)) (= (tptp.get (tptp.put @t3 @t4 @t2) @t1) (tptp.get @t3 @t1)))))
% 0.28/0.53  (assume @p4 @t9)
% 0.28/0.53  (assume @p5 (forall (@list @t3 @t10) (= (= @t3 @t10) (forall (@list @t4) (= (tptp.get @t3 @t4) (tptp.get @t10 @t4))))))
% 0.28/0.53  (assume @p6 @t14)
% 0.28/0.53  (assume @p7 true)
% 0.28/0.53  (step @p8 :rule eq-symm :args (@t11 @t8))
% 0.28/0.53  (step @p9 :rule cong :premises (@p8) :args (@t13))
% 0.28/0.53  (step @p10 :rule alpha_equiv :args ((forall (@list @t18 @t17 @t16 @t15) (= (tptp.put (tptp.put @t17 @t16 @t18) @t16 @t15) (tptp.put @t17 @t16 @t15))) @t19 (@list @t1 @t7 @t3 @t5)))
% 0.28/0.53  (step @p11 :rule alpha_equiv :args (@t9 (@list @t1 @t5 @t3 @t7) @t19))
% 0.28/0.53  (step @p12 :rule trans :premises (@p11 @p10 @p9))
% 0.28/0.53  (step @p13 :rule equiv_elim1 :premises (@p12))
% 0.28/0.53  (step @p14 :rule reordering :premises (@p13) :args ((or @t20 (not @t9))))
% 0.28/0.53  (step @p15 :rule chain_m_resolution :premises (@p14 @p4) :args (@t20 @t21 (@list @t9)))
% 0.28/0.53  (step @p16 :rule cong :premises (@p9) :args (@t14))
% 0.28/0.53  (step @p17 :rule eq_resolve :premises (@p6 @p16))
% 0.28/0.53  (step @p18 false :rule chain_m_resolution :premises (@p17 @p15) :args (false @t21 (@list @t20)))
% 0.28/0.53  )
% 0.28/0.53  % SZS output end Proof
% 0.28/0.54  % cvc5 exiting
%------------------------------------------------------------------------------