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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI166_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 : n026.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 08:07:13 AM UTC 2026

% Result   : Theorem 0.33s 0.56s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI166_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
% 0.19/0.35  % Computer : n026.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Wed Jun  3 02:26:25 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.33/0.51  %----Proving TF0_ARI
% 0.33/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.33/0.56  % SZS status Theorem
% 0.33/0.56  % SZS output start Proof
% 0.33/0.56  (
% 0.33/0.56  (define @t1 () (@var "X" Int))
% 0.33/0.56  (define @t2 () (+ 2 3))
% 0.33/0.56  (define @t3 () (= @t2 @t1))
% 0.33/0.56  (define @t4 () (=> @t3 (< 4 @t1)))
% 0.33/0.56  (define @t5 () (@list @t1))
% 0.33/0.56  (define @t6 () (forall @t5 @t4))
% 0.33/0.56  (define @t7 () (not @t6))
% 0.33/0.56  (define @t8 () (>= 5 5))
% 0.33/0.56  (define @t9 () (= 5 5))
% 0.33/0.56  (define @t10 () (not @t9))
% 0.33/0.56  (define @t11 () (or @t10 @t8))
% 0.33/0.56  (define @t12 () (>= @t1 5))
% 0.33/0.56  (define @t13 () (= @t1 5))
% 0.33/0.56  (define @t14 () (not @t13))
% 0.33/0.56  (define @t15 () (or @t14 @t14 @t12))
% 0.33/0.56  (define @t16 () (or @t14 @t12))
% 0.33/0.56  (define @t17 () (+ @t1 1))
% 0.33/0.56  (define @t18 () (>= 4 @t1))
% 0.33/0.56  (assume @p1 @t7)
% 0.33/0.56  (assume @p2 true)
% 0.33/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.33/0.56  (step @p4 :rule evaluate :args ((or false true)))
% 0.33/0.56  (step @p5 :rule evaluate :args (@t8))
% 0.33/0.56  (step @p6 :rule evaluate :args (@t9))
% 0.33/0.56  (step @p7 :rule cong :premises (@p6) :args (@t10))
% 0.33/0.56  (step @p8 :rule trans :premises (@p7 @p3))
% 0.33/0.56  (step @p9 :rule nary_cong :premises (@p8 @p5) :args (@t11))
% 0.33/0.56  (step @p10 :rule trans :premises (@p9 @p4))
% 0.33/0.56  (step @p11 :rule quant-var-elim-eq :args ((= (forall @t5 @t15) @t11)))
% 0.33/0.56  (step @p12 :rule aci_norm :args ((= @t16 @t15)))
% 0.33/0.56  (step @p13 :rule cong :premises (@p12) :args ((forall @t5 @t16)))
% 0.33/0.56  (step @p14 :rule trans :premises (@p13 @p11))
% 0.33/0.56  (step @p15 :rule trans :premises (@p14 @p10))
% 0.33/0.56  (step @p16 :rule bool-impl-elim :args (@t13 @t12))
% 0.33/0.56  (step @p17 :rule cong :premises (@p16) :args ((forall @t5 (=> @t13 @t12))))
% 0.33/0.56  (step @p18 :rule trans :premises (@p17 @p15))
% 0.33/0.56  (step @p19 :rule bool-double-not-elim :args (@t12))
% 0.33/0.56  (step @p20 :rule arith_poly_norm :args ((= (* 4 (- 5 @t17)) (* 4 (- 4 @t1)))))
% 0.33/0.56  (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= (>= 5 @t17) @t18)))
% 0.33/0.56  (step @p22 :rule arith-geq-tighten :args (@t1 5))
% 0.33/0.56  (step @p23 :rule trans :premises (@p22 @p21))
% 0.33/0.56  (step @p24 :rule symm :premises (@p23))
% 0.33/0.56  (step @p25 :rule cong :premises (@p24) :args ((not @t18)))
% 0.33/0.56  (step @p26 :rule trans :premises (@p25 @p19))
% 0.33/0.56  (step @p27 :rule arith-elim-lt :args (4 @t1))
% 0.33/0.56  (step @p28 :rule trans :premises (@p27 @p26))
% 0.33/0.56  (step @p29 :rule arith_poly_norm :args ((= (* -5 (- 5 @t1)) (* 5 (- @t1 5)))))
% 0.33/0.56  (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (= 5 @t1) @t13)))
% 0.33/0.56  (step @p31 :rule refl :args (@t1))
% 0.33/0.56  (step @p32 :rule evaluate :args (@t2))
% 0.33/0.56  (step @p33 :rule cong :premises (@p32 @p31) :args (@t3))
% 0.33/0.56  (step @p34 :rule trans :premises (@p33 @p30))
% 0.33/0.56  (step @p35 :rule cong :premises (@p34 @p28) :args (@t4))
% 0.33/0.56  (step @p36 :rule cong :premises (@p35) :args (@t6))
% 0.33/0.56  (step @p37 :rule trans :premises (@p36 @p18))
% 0.33/0.56  (step @p38 :rule cong :premises (@p37) :args (@t7))
% 0.33/0.56  (step @p39 :rule trans :premises (@p38 @p3))
% 0.33/0.56  (step @p40 false :rule eq_resolve :premises (@p1 @p39))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------