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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT057_1 : TPTP v9.2.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:14:26 AM UTC 2026

% Result   : Theorem 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT057_1 : TPTP v9.2.1. Released v5.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n027.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 : Mon Jun  1 22:27:36 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_ARI
% 0.31/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.54  % SZS status Theorem
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort tptp.array 0)
% 0.31/0.54  (declare-sort tptp.data 0)
% 0.31/0.54  (declare-const tptp.put (-> tptp.array Int tptp.data tptp.array))
% 0.31/0.54  (declare-const tptp.get (-> tptp.array Int tptp.data))
% 0.31/0.54  (declare-const tptp.mkarray tptp.array)
% 0.31/0.54  (declare-const tptp.none tptp.data)
% 0.31/0.54  (define @t1 () (@var "M" Int))
% 0.31/0.54  (define @t2 () (@var "D" tptp.data))
% 0.31/0.54  (define @t3 () (@var "Ar" tptp.array))
% 0.31/0.54  (define @t4 () (tptp.put @t3 @t1 @t2))
% 0.31/0.54  (define @t5 () (@var "N" Int))
% 0.31/0.54  (define @t6 () (= (tptp.get (tptp.put @t3 @t5 @t2) @t1) (tptp.get @t3 @t1)))
% 0.31/0.54  (define @t7 () (= @t1 @t5))
% 0.31/0.54  (define @t8 () (not @t7))
% 0.31/0.54  (define @t9 () (@list @t5 @t2 @t3 @t1))
% 0.31/0.54  (define @t10 () (forall @t9 (=> @t8 @t6)))
% 0.31/0.54  (define @t11 () (@var "D1" tptp.data))
% 0.31/0.54  (define @t12 () (@var "D2" tptp.data))
% 0.31/0.54  (define @t13 () (@var "Ar0" tptp.array))
% 0.31/0.54  (define @t14 () (tptp.get @t3 @t5))
% 0.31/0.54  (define @t15 () (tptp.get @t4 @t5))
% 0.31/0.54  (define @t16 () (or (= @t15 @t14) @t7))
% 0.31/0.54  (define @t17 () (@list @t2 @t3 @t1 @t5))
% 0.31/0.54  (define @t18 () (forall @t17 @t16))
% 0.31/0.54  (define @t19 () (not @t18))
% 0.31/0.54  (define @t20 () (forall @t17 (or (= @t14 @t15) @t7)))
% 0.31/0.54  (define @t21 () (@quantifiers_skolemize @t20 3))
% 0.31/0.54  (define @t22 () (@quantifiers_skolemize @t20 2))
% 0.31/0.54  (define @t23 () (= @t22 @t21))
% 0.31/0.54  (define @t24 () (@quantifiers_skolemize @t20 0))
% 0.31/0.54  (define @t25 () (@quantifiers_skolemize @t20 1))
% 0.31/0.54  (define @t26 () (tptp.get (tptp.put @t25 @t22 @t24) @t21))
% 0.31/0.54  (define @t27 () (tptp.get @t25 @t21))
% 0.31/0.54  (define @t28 () (= @t27 @t26))
% 0.31/0.54  (define @t29 () (or @t28 @t23))
% 0.31/0.54  (define @t30 () (@list true))
% 0.31/0.54  (define @t31 () (@list @t29))
% 0.31/0.54  (define @t32 () (or @t23 @t28))
% 0.31/0.54  (define @t33 () (not @t32))
% 0.31/0.54  (define @t34 () (= @t21 @t22))
% 0.31/0.54  (define @t35 () (or @t34 (= @t26 @t27)))
% 0.31/0.54  (define @t36 () (forall @t9 (or @t7 @t6)))
% 0.31/0.54  (assume @p1 (forall (@list @t1) (= (tptp.get tptp.mkarray @t1) tptp.none)))
% 0.31/0.54  (assume @p2 (forall (@list @t3 @t1 @t2) (= (tptp.get @t4 @t1) @t2)))
% 0.31/0.54  (assume @p3 @t10)
% 0.31/0.54  (assume @p4 (forall (@list @t12 @t3 @t1 @t11) (= (tptp.put (tptp.put @t3 @t1 @t12) @t1 @t11) (tptp.put @t3 @t1 @t11))))
% 0.31/0.54  (assume @p5 (forall (@list @t3 @t13) (= (= @t3 @t13) (forall (@list @t5) (= @t14 (tptp.get @t13 @t5))))))
% 0.31/0.54  (assume @p6 @t19)
% 0.31/0.54  (assume @p7 true)
% 0.31/0.54  (step @p8 :rule refl :args (@t6))
% 0.31/0.54  (step @p9 :rule bool-double-not-elim :args (@t7))
% 0.31/0.54  (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t8) @t6)))
% 0.31/0.54  (step @p11 :rule bool-impl-elim :args (@t8 @t6))
% 0.31/0.54  (step @p12 :rule trans :premises (@p11 @p10))
% 0.31/0.54  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.31/0.54  (step @p14 :rule eq_resolve :premises (@p3 @p13))
% 0.31/0.54  (step @p15 :rule refl :args (@t7))
% 0.31/0.54  (step @p16 :rule eq-symm :args (@t15 @t14))
% 0.31/0.54  (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t16))
% 0.31/0.54  (step @p18 :rule cong :premises (@p17) :args (@t18))
% 0.31/0.54  (step @p19 :rule cong :premises (@p18) :args (@t19))
% 0.31/0.54  (step @p20 :rule eq_resolve :premises (@p6 @p19))
% 0.31/0.54  (step @p21 :rule skolemize :premises (@p20))
% 0.31/0.54  (step @p22 :rule cnf_or_neg :args (@t29 1))
% 0.31/0.54  (step @p23 :rule chain_m_resolution :premises (@p22 @p21) :args ((not @t23) @t30 @t31))
% 0.31/0.54  (step @p24 :rule cnf_or_neg :args (@t29 0))
% 0.31/0.54  (step @p25 :rule chain_m_resolution :premises (@p24 @p21) :args ((not @t28) @t30 @t31))
% 0.31/0.54  (step @p26 :rule cnf_or_pos :args (@t32))
% 0.31/0.54  (step @p27 :rule reordering :premises (@p26) :args ((or @t28 @t23 @t33)))
% 0.31/0.54  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p23) :args (@t33 (@list true true) (@list @t28 @t23)))
% 0.31/0.54  (step @p29 :rule eq-symm :args (@t26 @t27))
% 0.31/0.54  (step @p30 :rule arith_poly_norm :args ((= (* 1 (- @t21 @t22)) (* -1 (- @t22 @t21)))))
% 0.31/0.54  (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t34 @t23)))
% 0.31/0.54  (step @p32 :rule nary_cong :premises (@p31 @p29) :args (@t35))
% 0.31/0.54  (step @p33 :rule refl :args (@t36))
% 0.31/0.54  (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t36 @t35)))
% 0.31/0.54  (assume-push @p42 @t36)
% 0.31/0.54  (step @p36 :rule instantiate :premises (@p14) :args ((@list @t22 @t24 @t25 @t21)))
% 0.31/0.54  (step-pop @p43 :rule scope :premises (@p36))
% 0.31/0.54  (step @p37 :rule process_scope :premises (@p43) :args (@t35))
% 0.31/0.54  (step @p39 :rule eq_resolve :premises (@p37 @p34))
% 0.31/0.54  (step @p40 :rule implies_elim :premises (@p39))
% 0.31/0.54  (step @p41 false :rule chain_m_resolution :premises (@p40 @p28 @p14) :args (false (@list true false) (@list @t32 @t36)))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------