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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI185_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:07:15 AM UTC 2026

% Result   : Theorem 0.31s 0.56s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI185_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n014.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % 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 02:26:43 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_ARI
% 0.31/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.31/0.56  % SZS status Theorem
% 0.31/0.56  % SZS output start Proof
% 0.31/0.56  (
% 0.31/0.56  (declare-const tptp.f (-> Int Int))
% 0.31/0.56  (define @t1 () (tptp.f 3))
% 0.31/0.56  (define @t2 () (* 2 @t1))
% 0.31/0.56  (define @t3 () (- 7 @t2))
% 0.31/0.56  (define @t4 () (@var "U" Int))
% 0.31/0.56  (define @t5 () (tptp.f @t4))
% 0.31/0.56  (define @t6 () (@list @t4))
% 0.31/0.56  (define @t7 () (forall @t6 (> @t5 1)))
% 0.31/0.56  (define @t8 () (=> @t7 (< @t3 4)))
% 0.31/0.56  (define @t9 () (not @t8))
% 0.31/0.56  (define @t10 () (>= @t1 2))
% 0.31/0.56  (define @t11 () (* -1 @t1))
% 0.31/0.56  (define @t12 () (+ @t1 1))
% 0.31/0.56  (define @t13 () (to_int -3/2))
% 0.31/0.56  (define @t14 () (to_real @t11))
% 0.31/0.56  (define @t15 () (* -2 @t1))
% 0.31/0.56  (define @t16 () (+ 7 @t15))
% 0.31/0.56  (define @t17 () (* -1 @t2))
% 0.31/0.56  (define @t18 () (+ 7 @t17))
% 0.31/0.56  (define @t19 () (>= @t3 4))
% 0.31/0.56  (define @t20 () (>= @t5 2))
% 0.31/0.56  (define @t21 () (+ 1 1))
% 0.31/0.56  (define @t22 () (>= @t5 @t21))
% 0.31/0.56  (define @t23 () (forall @t6 @t20))
% 0.31/0.56  (assume @p1 @t9)
% 0.31/0.56  (assume @p2 true)
% 0.31/0.56  (step @p3 :rule bool-double-not-elim :args (@t10))
% 0.31/0.56  (step @p4 :rule arith_poly_norm :args ((= (* 1 (- 2 @t12)) (* 1 (- @t11 -1)))))
% 0.31/0.56  (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= 2 @t12) (>= @t11 -1))))
% 0.31/0.56  (step @p6 :rule arith-geq-tighten :args (@t1 2))
% 0.31/0.56  (step @p7 :rule trans :premises (@p6 @p5))
% 0.31/0.56  (step @p8 :rule symm :premises (@p7))
% 0.31/0.56  (step @p9 :rule evaluate :args ((+ @t13 1)))
% 0.31/0.56  (step @p10 :rule symm :premises (@p9))
% 0.31/0.56  (step @p11 :rule evaluate :args ((= (to_real @t13) -3/2)))
% 0.31/0.56  (step @p12 :rule arith-int-geq-tighten :premises (@p11 @p10) :args (@t11 -3/2 -1))
% 0.31/0.56  (step @p13 :rule arith_poly_norm :args ((= (* 3/2 (to_real (- @t16 4))) (* 3/1 (- @t14 -3/2)))))
% 0.31/0.56  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (>= @t16 4) (>= @t14 -3/2))))
% 0.31/0.56  (step @p15 :rule trans :premises (@p14 @p12 @p8))
% 0.31/0.56  (step @p16 :rule refl :args (4))
% 0.31/0.56  (step @p17 :rule arith_poly_norm :args ((= @t17 @t15)))
% 0.31/0.56  (step @p18 :rule refl :args (7))
% 0.31/0.56  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t18))
% 0.31/0.56  (step @p20 :rule arith_poly_norm :args ((= @t3 @t18)))
% 0.31/0.56  (step @p21 :rule trans :premises (@p20 @p19))
% 0.31/0.56  (step @p22 :rule cong :premises (@p21 @p16) :args (@t19))
% 0.31/0.56  (step @p23 :rule trans :premises (@p22 @p15))
% 0.31/0.56  (step @p24 :rule cong :premises (@p23) :args ((not @t19)))
% 0.31/0.56  (step @p25 :rule trans :premises (@p24 @p3))
% 0.31/0.56  (step @p26 :rule arith-elim-lt :args (@t3 4))
% 0.31/0.56  (step @p27 :rule trans :premises (@p26 @p25))
% 0.31/0.56  (step @p28 :rule bool-double-not-elim :args (@t20))
% 0.31/0.56  (step @p29 :rule evaluate :args (@t21))
% 0.31/0.56  (step @p30 :rule refl :args (@t5))
% 0.31/0.56  (step @p31 :rule cong :premises (@p30 @p29) :args (@t22))
% 0.31/0.56  (step @p32 :rule cong :premises (@p31) :args ((not @t22)))
% 0.31/0.56  (step @p33 :rule arith-leq-norm :args (@t5 1))
% 0.31/0.56  (step @p34 :rule trans :premises (@p33 @p32))
% 0.31/0.56  (step @p35 :rule cong :premises (@p34) :args ((not (<= @t5 1))))
% 0.31/0.56  (step @p36 :rule trans :premises (@p35 @p28))
% 0.31/0.56  (step @p37 :rule arith-elim-leq :args (@t5 1))
% 0.31/0.56  (step @p38 :rule symm :premises (@p37))
% 0.31/0.56  (step @p39 :rule cong :premises (@p38) :args ((not (>= 1 @t5))))
% 0.31/0.56  (step @p40 :rule arith-elim-gt :args (@t5 1))
% 0.31/0.56  (step @p41 :rule trans :premises (@p40 @p39))
% 0.31/0.56  (step @p42 :rule trans :premises (@p41 @p36))
% 0.31/0.56  (step @p43 :rule cong :premises (@p42) :args (@t7))
% 0.31/0.56  (step @p44 :rule cong :premises (@p43 @p27) :args (@t8))
% 0.31/0.56  (step @p45 :rule cong :premises (@p44) :args (@t9))
% 0.31/0.56  (step @p46 :rule eq_resolve :premises (@p1 @p45))
% 0.31/0.56  (step @p47 :rule not_implies_elim1 :premises (@p46))
% 0.31/0.56  (step @p48 :rule not_implies_elim2 :premises (@p46))
% 0.31/0.56  (assume-push @p56 @t23)
% 0.31/0.56  (step @p50 :rule instantiate :premises (@p47) :args ((@list 3)))
% 0.31/0.56  (step-pop @p57 :rule scope :premises (@p50))
% 0.31/0.56  (step @p51 :rule process_scope :premises (@p57) :args (@t10))
% 0.31/0.56  (step @p53 :rule implies_elim :premises (@p51))
% 0.31/0.56  (step @p54 :rule reordering :premises (@p53) :args ((or @t10 (not @t23))))
% 0.31/0.56  (step @p55 false :rule chain_m_resolution :premises (@p54 @p48 @p47) :args (false (@list true false) (@list @t10 @t23)))
% 0.31/0.56  )
% 0.31/0.56  % SZS output end Proof
% 0.31/0.56  % cvc5 exiting
%------------------------------------------------------------------------------