0.00/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM
0.12/0.34	% Computer : n031.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Fri Sep  5 12:44:37 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.49	%----Proving TF0_ARI
0.19/0.56	--- Run --finite-model-find --decision=internal at 18...
0.19/0.56	% SZS status Theorem
0.19/0.56	% SZS output start Proof
0.19/0.56	(
0.19/0.56	(define @t1 () (@var "X" Real))
0.19/0.56	(define @t2 () (to_int @t1))
0.19/0.56	(define @t3 () (* 2/1 @t2))
0.19/0.56	(define @t4 () (* 2/1 @t1))
0.19/0.56	(define @t5 () (to_int @t4))
0.19/0.56	(define @t6 () (@list @t1))
0.19/0.56	(define @t7 () (exists @t6 (> @t5 @t3)))
0.19/0.56	(define @t8 () (not @t7))
0.19/0.56	(define @t9 () (* 2 @t1))
0.19/0.56	(define @t10 () (to_int @t9))
0.19/0.56	(define @t11 () (* 2 @t2))
0.19/0.56	(define @t12 () (+ @t11 (* -1 @t10)))
0.19/0.56	(define @t13 () (>= @t12 0))
0.19/0.56	(define @t14 () (forall @t6 @t13))
0.19/0.56	(define @t15 () (not @t13))
0.19/0.56	(define @t16 () (forall @t6 (not @t15)))
0.19/0.56	(define @t17 () (not @t16))
0.19/0.56	(define @t18 () (to_real @t11))
0.19/0.56	(define @t19 () (<= @t5 @t3))
0.19/0.56	(define @t20 () (* 2 1/2))
0.19/0.56	(define @t21 () (to_int @t20))
0.19/0.56	(define @t22 () (* -1 @t21))
0.19/0.56	(define @t23 () (to_int 1/2))
0.19/0.56	(define @t24 () (* 2 @t23))
0.19/0.56	(define @t25 () (+ @t24 @t22))
0.19/0.56	(define @t26 () (>= @t25 0))
0.19/0.56	(assume @p1 @t8)
0.19/0.56	(assume @p2 true)
0.19/0.56	(step @p3 :rule bool-double-not-elim :args (@t14))
0.19/0.56	(step @p4 :rule bool-double-not-elim :args (@t13))
0.19/0.56	(step @p5 :rule cong :premises (@p4) :args (@t16))
0.19/0.56	(step @p6 :rule cong :premises (@p5) :args (@t17))
0.19/0.56	(step @p7 :rule exists-elim :args ((= (exists @t6 @t15) @t17)))
0.19/0.56	(step @p8 :rule trans :premises (@p7 @p6))
0.19/0.56	(step @p9 :rule arith_poly_norm :args ((= (* 2/1 (- @t18 @t10)) (* 2/1 (to_real (- @t12 0))))))
0.19/0.56	(step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= (>= @t18 @t10) @t13)))
0.19/0.56	(step @p11 :rule arith-elim-leq :args (@t10 @t18))
0.19/0.56	(step @p12 :rule trans :premises (@p11 @p10))
0.19/0.56	(step @p13 :rule arith_poly_norm :args ((= @t3 @t18)))
0.19/0.56	(step @p14 :rule arith_poly_norm :args ((= @t4 @t9)))
0.19/0.56	(step @p15 :rule cong :premises (@p14) :args (@t5))
0.19/0.56	(step @p16 :rule cong :premises (@p15 @p13) :args (@t19))
0.19/0.56	(step @p17 :rule trans :premises (@p16 @p12))
0.19/0.56	(step @p18 :rule cong :premises (@p17) :args ((not @t19)))
0.19/0.56	(step @p19 :rule arith-elim-leq :args (@t5 @t3))
0.19/0.56	(step @p20 :rule symm :premises (@p19))
0.19/0.56	(step @p21 :rule cong :premises (@p20) :args ((not (>= @t3 @t5))))
0.19/0.56	(step @p22 :rule arith-elim-gt :args (@t5 @t3))
0.19/0.56	(step @p23 :rule trans :premises (@p22 @p21))
0.19/0.56	(step @p24 :rule trans :premises (@p23 @p18))
0.19/0.56	(step @p25 :rule cong :premises (@p24) :args (@t7))
0.19/0.56	(step @p26 :rule trans :premises (@p25 @p8))
0.19/0.56	(step @p27 :rule cong :premises (@p26) :args (@t8))
0.19/0.56	(step @p28 :rule trans :premises (@p27 @p3))
0.19/0.56	(step @p29 :rule eq_resolve :premises (@p1 @p28))
0.19/0.56	(step @p30 :rule bool-impl-false1 :args (@t14))
0.19/0.56	(step @p31 :rule evaluate :args ((>= -1 0)))
0.19/0.56	(step @p32 :rule refl :args (0))
0.19/0.56	(step @p33 :rule evaluate :args ((+ 0 -1)))
0.19/0.56	(step @p34 :rule evaluate :args ((* -1 1)))
0.19/0.56	(step @p35 :rule evaluate :args ((to_int 1/1)))
0.19/0.56	(step @p36 :rule evaluate :args (@t20))
0.19/0.56	(step @p37 :rule cong :premises (@p36) :args (@t21))
0.19/0.56	(step @p38 :rule trans :premises (@p37 @p35))
0.19/0.56	(step @p39 :rule refl :args (-1))
0.19/0.56	(step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t22))
0.19/0.56	(step @p41 :rule trans :premises (@p40 @p34))
0.19/0.56	(step @p42 :rule evaluate :args ((* 2 0)))
0.19/0.56	(step @p43 :rule evaluate :args (@t23))
0.19/0.56	(step @p44 :rule refl :args (2))
0.19/0.56	(step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t24))
0.19/0.56	(step @p46 :rule trans :premises (@p45 @p42))
0.19/0.56	(step @p47 :rule nary_cong :premises (@p46 @p41) :args (@t25))
0.19/0.56	(step @p48 :rule trans :premises (@p47 @p33))
0.19/0.56	(step @p49 :rule cong :premises (@p48 @p32) :args (@t26))
0.19/0.56	(step @p50 :rule trans :premises (@p49 @p31))
0.19/0.56	(step @p51 :rule refl :args (@t14))
0.19/0.56	(step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t14 @t26)))
0.19/0.56	(step @p53 :rule trans :premises (@p52 @p30))
0.19/0.56	(assume-push @p60 @t14)
0.19/0.56	(step @p55 :rule instantiate :premises (@p29) :args ((@list 1/2)))
0.19/0.56	(step-pop @p60 :rule scope :premises (@p55))
0.19/0.56	(step @p56 :rule process_scope :premises (@p60) :args (@t26))
0.19/0.56	(step @p58 :rule eq_resolve :premises (@p56 @p53))
0.19/0.56	(step @p59 false :rule chain_resolution :premises (@p58 @p29) :args ((@list false) (@list @t14)))
0.19/0.56	)
0.19/0.56	% SZS output end Proof
0.19/0.56	% cvc5 exiting
0.19/0.56	EOF