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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI340_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 : n018.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 08:07:30 AM UTC 2026

% Result   : Theorem 0.34s 0.57s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI340_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 : n018.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 02:27:35 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.34/0.51  %----Proving TF0_ARI
% 0.34/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.34/0.57  % SZS status Theorem
% 0.34/0.57  % SZS output start Proof
% 0.34/0.57  (
% 0.34/0.57  (define @t1 () (@var "X" Real))
% 0.34/0.57  (define @t2 () (/ 15 2))
% 0.34/0.57  (define @t3 () (/ 24 5))
% 0.34/0.57  (define @t4 () (/ 29 10))
% 0.34/0.57  (define @t5 () (+ @t4 @t3))
% 0.34/0.57  (define @t6 () (= @t5 @t1))
% 0.34/0.57  (define @t7 () (=> @t6 (< @t2 @t1)))
% 0.34/0.57  (define @t8 () (@list @t1))
% 0.34/0.57  (define @t9 () (forall @t8 @t7))
% 0.34/0.57  (define @t10 () (not @t9))
% 0.34/0.57  (define @t11 () (* -1/1 77/10))
% 0.34/0.57  (define @t12 () (>= @t11 -15/2))
% 0.34/0.57  (define @t13 () (not @t12))
% 0.34/0.57  (define @t14 () (= 77/10 77/10))
% 0.34/0.57  (define @t15 () (not @t14))
% 0.34/0.57  (define @t16 () (or @t15 @t13))
% 0.34/0.57  (define @t17 () (* -1/1 @t1))
% 0.34/0.57  (define @t18 () (>= @t17 -15/2))
% 0.34/0.57  (define @t19 () (not @t18))
% 0.34/0.57  (define @t20 () (= @t1 77/10))
% 0.34/0.57  (define @t21 () (not @t20))
% 0.34/0.57  (define @t22 () (or @t21 @t21 @t19))
% 0.34/0.57  (define @t23 () (or @t21 @t19))
% 0.34/0.57  (define @t24 () (>= @t2 @t1))
% 0.34/0.57  (assume @p1 @t10)
% 0.34/0.57  (assume @p2 true)
% 0.34/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.34/0.57  (step @p4 :rule evaluate :args ((or false true)))
% 0.34/0.57  (step @p5 :rule evaluate :args ((not false)))
% 0.34/0.57  (step @p6 :rule evaluate :args ((>= -77/10 -15/2)))
% 0.34/0.57  (step @p7 :rule refl :args (-15/2))
% 0.34/0.57  (step @p8 :rule evaluate :args (@t11))
% 0.34/0.57  (step @p9 :rule cong :premises (@p8 @p7) :args (@t12))
% 0.34/0.57  (step @p10 :rule trans :premises (@p9 @p6))
% 0.34/0.57  (step @p11 :rule cong :premises (@p10) :args (@t13))
% 0.34/0.57  (step @p12 :rule trans :premises (@p11 @p5))
% 0.34/0.57  (step @p13 :rule evaluate :args (@t14))
% 0.34/0.57  (step @p14 :rule cong :premises (@p13) :args (@t15))
% 0.34/0.57  (step @p15 :rule trans :premises (@p14 @p3))
% 0.34/0.57  (step @p16 :rule nary_cong :premises (@p15 @p12) :args (@t16))
% 0.34/0.57  (step @p17 :rule trans :premises (@p16 @p4))
% 0.34/0.57  (step @p18 :rule quant-var-elim-eq :args ((= (forall @t8 @t22) @t16)))
% 0.34/0.57  (step @p19 :rule aci_norm :args ((= @t23 @t22)))
% 0.34/0.57  (step @p20 :rule cong :premises (@p19) :args ((forall @t8 @t23)))
% 0.34/0.57  (step @p21 :rule trans :premises (@p20 @p18))
% 0.34/0.57  (step @p22 :rule trans :premises (@p21 @p17))
% 0.34/0.57  (step @p23 :rule bool-impl-elim :args (@t20 @t19))
% 0.34/0.57  (step @p24 :rule cong :premises (@p23) :args ((forall @t8 (=> @t20 @t19))))
% 0.34/0.57  (step @p25 :rule trans :premises (@p24 @p22))
% 0.34/0.57  (step @p26 :rule arith_poly_norm :args ((= (* 15/2 (- 15/2 @t1)) (* 15/2 (- @t17 -15/2)))))
% 0.34/0.57  (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= (>= 15/2 @t1) @t18)))
% 0.34/0.57  (step @p28 :rule refl :args (@t1))
% 0.34/0.57  (step @p29 :rule evaluate :args (@t2))
% 0.34/0.57  (step @p30 :rule cong :premises (@p29 @p28) :args (@t24))
% 0.34/0.57  (step @p31 :rule trans :premises (@p30 @p27))
% 0.34/0.57  (step @p32 :rule cong :premises (@p31) :args ((not @t24)))
% 0.34/0.57  (step @p33 :rule arith-elim-lt :args (@t2 @t1))
% 0.34/0.57  (step @p34 :rule trans :premises (@p33 @p32))
% 0.34/0.57  (step @p35 :rule arith_poly_norm :args ((= (* -77/10 (- 77/10 @t1)) (* 77/10 (- @t1 77/10)))))
% 0.34/0.57  (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= (= 77/10 @t1) @t20)))
% 0.34/0.57  (step @p37 :rule evaluate :args ((+ 29/10 24/5)))
% 0.34/0.57  (step @p38 :rule evaluate :args (@t3))
% 0.34/0.57  (step @p39 :rule evaluate :args (@t4))
% 0.34/0.57  (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t5))
% 0.34/0.57  (step @p41 :rule trans :premises (@p40 @p37))
% 0.34/0.57  (step @p42 :rule cong :premises (@p41 @p28) :args (@t6))
% 0.34/0.57  (step @p43 :rule trans :premises (@p42 @p36))
% 0.34/0.57  (step @p44 :rule cong :premises (@p43 @p34) :args (@t7))
% 0.34/0.57  (step @p45 :rule cong :premises (@p44) :args (@t9))
% 0.34/0.57  (step @p46 :rule trans :premises (@p45 @p25))
% 0.34/0.57  (step @p47 :rule cong :premises (@p46) :args (@t10))
% 0.34/0.57  (step @p48 :rule trans :premises (@p47 @p3))
% 0.34/0.57  (step @p49 false :rule eq_resolve :premises (@p1 @p48))
% 0.34/0.57  )
% 0.34/0.57  % SZS output end Proof
% 0.34/0.57  % cvc5 exiting
%------------------------------------------------------------------------------