0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM
0.14/0.33	% Computer : n031.cluster.edu
0.14/0.33	% Model    : x86_64 x86_64
0.14/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.33	% Memory   : 8042.1875MB
0.14/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.33	% CPULimit : 960
0.14/0.34	% WCLimit  : 120
0.14/0.34	% DateTime : Fri Sep  5 12:50:52 EDT 2025
0.14/0.34	% CPUTime  : 
0.20/0.48	%----Proving TF0_ARI
0.20/0.54	--- Run --finite-model-find --decision=internal at 18...
0.20/0.54	% SZS status Theorem
0.20/0.54	% SZS output start Proof
0.20/0.54	(
0.20/0.54	(define @t1 () (@var "X" Real))
0.20/0.54	(define @t2 () (/ 1 2))
0.20/0.54	(define @t3 () (+ @t1 @t2))
0.20/0.54	(define @t4 () (to_int @t3))
0.20/0.54	(define @t5 () (@list @t1))
0.20/0.54	(define @t6 () (exists @t5 (< @t4 @t1)))
0.20/0.54	(define @t7 () (not @t6))
0.20/0.54	(define @t8 () (+ 1/2 @t1))
0.20/0.54	(define @t9 () (to_int @t8))
0.20/0.54	(define @t10 () (+ (* -1 @t1) @t9))
0.20/0.54	(define @t11 () (>= @t10 0))
0.20/0.54	(define @t12 () (forall @t5 @t11))
0.20/0.54	(define @t13 () (not @t11))
0.20/0.54	(define @t14 () (forall @t5 (not @t13)))
0.20/0.54	(define @t15 () (not @t14))
0.20/0.54	(define @t16 () (>= @t4 @t1))
0.20/0.54	(define @t17 () (+ 1/2 1/8))
0.20/0.54	(define @t18 () (to_int @t17))
0.20/0.54	(define @t19 () (* -1 1/8))
0.20/0.54	(define @t20 () (+ @t19 @t18))
0.20/0.54	(define @t21 () (>= @t20 0))
0.20/0.54	(assume @p1 @t7)
0.20/0.54	(assume @p2 true)
0.20/0.54	(step @p3 :rule bool-double-not-elim :args (@t12))
0.20/0.54	(step @p4 :rule bool-double-not-elim :args (@t11))
0.20/0.54	(step @p5 :rule cong :premises (@p4) :args (@t14))
0.20/0.54	(step @p6 :rule cong :premises (@p5) :args (@t15))
0.20/0.54	(step @p7 :rule exists-elim :args ((= (exists @t5 @t13) @t15)))
0.20/0.54	(step @p8 :rule trans :premises (@p7 @p6))
0.20/0.54	(step @p9 :rule arith_poly_norm :args ((= (* -1/1 (- @t9 @t1)) (* -1/1 (- @t10 0)))))
0.20/0.54	(step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= (>= @t9 @t1) @t11)))
0.20/0.54	(step @p11 :rule refl :args (@t1))
0.20/0.54	(step @p12 :rule arith_poly_norm :args ((= (+ @t1 1/2) @t8)))
0.20/0.54	(step @p13 :rule evaluate :args (@t2))
0.20/0.54	(step @p14 :rule nary_cong :premises (@p11 @p13) :args (@t3))
0.20/0.54	(step @p15 :rule trans :premises (@p14 @p12))
0.20/0.54	(step @p16 :rule cong :premises (@p15) :args (@t4))
0.20/0.54	(step @p17 :rule cong :premises (@p16 @p11) :args (@t16))
0.20/0.54	(step @p18 :rule trans :premises (@p17 @p10))
0.20/0.54	(step @p19 :rule cong :premises (@p18) :args ((not @t16)))
0.20/0.54	(step @p20 :rule arith-elim-lt :args (@t4 @t1))
0.20/0.54	(step @p21 :rule trans :premises (@p20 @p19))
0.20/0.54	(step @p22 :rule cong :premises (@p21) :args (@t6))
0.20/0.54	(step @p23 :rule trans :premises (@p22 @p8))
0.20/0.54	(step @p24 :rule cong :premises (@p23) :args (@t7))
0.20/0.54	(step @p25 :rule trans :premises (@p24 @p3))
0.20/0.54	(step @p26 :rule eq_resolve :premises (@p1 @p25))
0.20/0.54	(step @p27 :rule bool-impl-false1 :args (@t12))
0.20/0.54	(step @p28 :rule evaluate :args ((>= -1/8 0)))
0.20/0.54	(step @p29 :rule refl :args (0))
0.20/0.54	(step @p30 :rule evaluate :args ((+ -1/8 0)))
0.20/0.54	(step @p31 :rule evaluate :args ((to_int 5/8)))
0.20/0.54	(step @p32 :rule evaluate :args (@t17))
0.20/0.54	(step @p33 :rule cong :premises (@p32) :args (@t18))
0.20/0.54	(step @p34 :rule trans :premises (@p33 @p31))
0.20/0.54	(step @p35 :rule evaluate :args (@t19))
0.20/0.54	(step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t20))
0.20/0.54	(step @p37 :rule trans :premises (@p36 @p30))
0.20/0.54	(step @p38 :rule cong :premises (@p37 @p29) :args (@t21))
0.20/0.54	(step @p39 :rule trans :premises (@p38 @p28))
0.20/0.54	(step @p40 :rule refl :args (@t12))
0.20/0.54	(step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t12 @t21)))
0.20/0.54	(step @p42 :rule trans :premises (@p41 @p27))
0.20/0.54	(assume-push @p49 @t12)
0.20/0.54	(step @p44 :rule instantiate :premises (@p26) :args ((@list 1/8)))
0.20/0.54	(step-pop @p49 :rule scope :premises (@p44))
0.20/0.54	(step @p45 :rule process_scope :premises (@p49) :args (@t21))
0.20/0.54	(step @p47 :rule eq_resolve :premises (@p45 @p42))
0.20/0.54	(step @p48 false :rule chain_resolution :premises (@p47 @p26) :args ((@list false) (@list @t12)))
0.20/0.54	)
0.20/0.54	% SZS output end Proof
0.20/0.54	% cvc5 exiting
0.20/0.55	EOF