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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI524_1 : TPTP v9.2.1. Released v5.0.0.
% 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 08:07:48 AM UTC 2026

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI524_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n008.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 02:28:48 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_ARI
% 0.38/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (define @t1 () (@var "R" Int))
% 0.38/0.56  (define @t2 () (to_real @t1))
% 0.38/0.56  (define @t3 () (/ 7 10))
% 0.38/0.56  (define @t4 () (/ 5 12))
% 0.38/0.56  (define @t5 () (* @t4 @t3))
% 0.38/0.56  (define @t6 () (* @t5 @t2))
% 0.38/0.56  (define @t7 () (@var "Q" Int))
% 0.38/0.56  (define @t8 () (to_real @t7))
% 0.38/0.56  (define @t9 () (= @t8 @t6))
% 0.38/0.56  (define @t10 () (= @t1 0))
% 0.38/0.56  (define @t11 () (not @t10))
% 0.38/0.56  (define @t12 () (and @t11 @t9))
% 0.38/0.56  (define @t13 () (@list @t7 @t1))
% 0.38/0.56  (define @t14 () (exists @t13 @t12))
% 0.38/0.56  (define @t15 () (not @t14))
% 0.38/0.56  (define @t16 () (* 24 @t7))
% 0.38/0.56  (define @t17 () (* 7 @t1))
% 0.38/0.56  (define @t18 () (= @t17 @t16))
% 0.38/0.56  (define @t19 () (not @t18))
% 0.38/0.56  (define @t20 () (forall @t13 (or @t10 @t19)))
% 0.38/0.56  (define @t21 () (and @t11 @t18))
% 0.38/0.56  (define @t22 () (forall @t13 (not @t21)))
% 0.38/0.56  (define @t23 () (not @t22))
% 0.38/0.56  (define @t24 () (* 7/24 @t2))
% 0.38/0.56  (define @t25 () (* -1 7))
% 0.38/0.56  (define @t26 () (* 24 @t25))
% 0.38/0.56  (define @t27 () (* 7 -24))
% 0.38/0.56  (define @t28 () (= @t27 @t26))
% 0.38/0.56  (define @t29 () (not @t28))
% 0.38/0.56  (define @t30 () (= -24 0))
% 0.38/0.56  (define @t31 () (or @t30 @t29))
% 0.38/0.56  (assume @p1 @t15)
% 0.38/0.56  (assume @p2 true)
% 0.38/0.56  (step @p3 :rule bool-double-not-elim :args (@t20))
% 0.38/0.56  (step @p4 :rule refl :args (@t19))
% 0.38/0.56  (step @p5 :rule bool-double-not-elim :args (@t10))
% 0.38/0.56  (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t11) @t19)))
% 0.38/0.56  (step @p7 :rule bool-and-de-morgan :args (@t11 @t18 true))
% 0.38/0.56  (step @p8 :rule trans :premises (@p7 @p6))
% 0.38/0.56  (step @p9 :rule cong :premises (@p8) :args (@t22))
% 0.38/0.56  (step @p10 :rule cong :premises (@p9) :args (@t23))
% 0.38/0.56  (step @p11 :rule exists-elim :args ((= (exists @t13 @t21) @t23)))
% 0.38/0.56  (step @p12 :rule trans :premises (@p11 @p10))
% 0.38/0.56  (step @p13 :rule arith_poly_norm :args ((= (* -24/1 (- @t8 @t24)) (* 1/1 (to_real (- @t17 @t16))))))
% 0.38/0.56  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= @t8 @t24) @t18)))
% 0.38/0.56  (step @p15 :rule refl :args (@t2))
% 0.38/0.56  (step @p16 :rule evaluate :args ((* 5/12 7/10)))
% 0.38/0.56  (step @p17 :rule evaluate :args (@t3))
% 0.38/0.56  (step @p18 :rule evaluate :args (@t4))
% 0.38/0.56  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t5))
% 0.38/0.56  (step @p20 :rule trans :premises (@p19 @p16))
% 0.38/0.56  (step @p21 :rule nary_cong :premises (@p20 @p15) :args (@t6))
% 0.38/0.56  (step @p22 :rule refl :args (@t8))
% 0.38/0.56  (step @p23 :rule cong :premises (@p22 @p21) :args (@t9))
% 0.38/0.56  (step @p24 :rule trans :premises (@p23 @p14))
% 0.38/0.56  (step @p25 :rule refl :args (@t11))
% 0.38/0.56  (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t12))
% 0.38/0.56  (step @p27 :rule cong :premises (@p26) :args (@t14))
% 0.38/0.56  (step @p28 :rule trans :premises (@p27 @p12))
% 0.38/0.56  (step @p29 :rule cong :premises (@p28) :args (@t15))
% 0.38/0.56  (step @p30 :rule trans :premises (@p29 @p3))
% 0.38/0.56  (step @p31 :rule eq_resolve :premises (@p1 @p30))
% 0.38/0.56  (step @p32 :rule bool-impl-false1 :args (@t20))
% 0.38/0.56  (step @p33 :rule evaluate :args ((or false false)))
% 0.38/0.56  (step @p34 :rule evaluate :args ((not true)))
% 0.38/0.56  (step @p35 :rule evaluate :args ((= -168 -168)))
% 0.38/0.56  (step @p36 :rule evaluate :args ((* 24 -7)))
% 0.38/0.56  (step @p37 :rule evaluate :args (@t25))
% 0.38/0.56  (step @p38 :rule refl :args (24))
% 0.38/0.56  (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t26))
% 0.38/0.56  (step @p40 :rule trans :premises (@p39 @p36))
% 0.38/0.56  (step @p41 :rule evaluate :args (@t27))
% 0.38/0.56  (step @p42 :rule cong :premises (@p41 @p40) :args (@t28))
% 0.38/0.56  (step @p43 :rule trans :premises (@p42 @p35))
% 0.38/0.56  (step @p44 :rule cong :premises (@p43) :args (@t29))
% 0.38/0.56  (step @p45 :rule trans :premises (@p44 @p34))
% 0.38/0.56  (step @p46 :rule evaluate :args (@t30))
% 0.38/0.56  (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t31))
% 0.38/0.56  (step @p48 :rule trans :premises (@p47 @p33))
% 0.38/0.56  (step @p49 :rule refl :args (@t20))
% 0.38/0.56  (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t20 @t31)))
% 0.38/0.56  (step @p51 :rule trans :premises (@p50 @p32))
% 0.38/0.56  (assume-push @p58 @t20)
% 0.38/0.56  (step @p53 :rule instantiate :premises (@p31) :args ((@list @t25 -24)))
% 0.38/0.56  (step-pop @p59 :rule scope :premises (@p53))
% 0.38/0.56  (step @p54 :rule process_scope :premises (@p59) :args (@t31))
% 0.38/0.56  (step @p56 :rule eq_resolve :premises (@p54 @p51))
% 0.38/0.56  (step @p57 false :rule chain_m_resolution :premises (@p56 @p31) :args (false (@list false) (@list @t20)))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------