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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI647_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:08:03 AM UTC 2026

% Result   : Theorem 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI647_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n022.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Jun  3 02:31:08 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_ARI
% 0.27/0.54  --- Run --finite-model-find --decision=internal at 45...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-const tptp.a Int)
% 0.27/0.54  (define @t1 () (* 3 tptp.a))
% 0.27/0.54  (define @t2 () (= @t1 3))
% 0.27/0.54  (define @t3 () (not @t2))
% 0.27/0.54  (define @t4 () (* 2 tptp.a))
% 0.27/0.54  (define @t5 () (- 1))
% 0.27/0.54  (define @t6 () (* @t5 @t4))
% 0.27/0.54  (define @t7 () (<= @t5 @t6))
% 0.27/0.54  (define @t8 () (not @t7))
% 0.27/0.54  (define @t9 () (or @t8 @t3))
% 0.27/0.54  (define @t10 () (not @t9))
% 0.27/0.54  (define @t11 () (= 1 1))
% 0.27/0.54  (define @t12 () (not @t11))
% 0.27/0.54  (define @t13 () (>= 1 1))
% 0.27/0.54  (define @t14 () (or @t13 @t12))
% 0.27/0.54  (define @t15 () (= tptp.a 1))
% 0.27/0.54  (define @t16 () (>= tptp.a 1))
% 0.27/0.54  (define @t17 () (* -1 tptp.a))
% 0.27/0.54  (define @t18 () (+ tptp.a 1))
% 0.27/0.54  (define @t19 () (to_int -1/2))
% 0.27/0.54  (define @t20 () (to_real @t17))
% 0.27/0.54  (define @t21 () (* -2 tptp.a))
% 0.27/0.54  (define @t22 () (not @t15))
% 0.27/0.54  (define @t23 () (or @t16 @t22))
% 0.27/0.54  (assume @p1 @t10)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.27/0.54  (step @p4 :rule evaluate :args ((or true false)))
% 0.27/0.54  (step @p5 :rule evaluate :args (@t11))
% 0.27/0.54  (step @p6 :rule cong :premises (@p5) :args (@t12))
% 0.27/0.54  (step @p7 :rule trans :premises (@p6 @p3))
% 0.27/0.54  (step @p8 :rule evaluate :args (@t13))
% 0.27/0.54  (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t14))
% 0.27/0.54  (step @p10 :rule trans :premises (@p9 @p4))
% 0.27/0.54  (step @p11 :rule cong :premises (@p10) :args ((not @t14)))
% 0.27/0.54  (step @p12 :rule trans :premises (@p11 @p3))
% 0.27/0.54  (step @p13 :rule refl :args (1))
% 0.27/0.54  (step @p14 :rule arith_poly_norm :args ((= (* -1 (- @t1 3)) (* -3 (- tptp.a 1)))))
% 0.27/0.54  (step @p15 :rule arith_poly_norm_rel :premises (@p14) :args ((= @t2 @t15)))
% 0.27/0.54  (step @p16 :rule cong :premises (@p15) :args (@t3))
% 0.27/0.54  (step @p17 :rule bool-double-not-elim :args (@t16))
% 0.27/0.54  (step @p18 :rule arith_poly_norm :args ((= (* -1 (- 1 @t18)) (* -1 (- @t17 0)))))
% 0.27/0.54  (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= (>= 1 @t18) (>= @t17 0))))
% 0.27/0.54  (step @p20 :rule arith-geq-tighten :args (tptp.a 1))
% 0.27/0.54  (step @p21 :rule trans :premises (@p20 @p19))
% 0.27/0.54  (step @p22 :rule symm :premises (@p21))
% 0.27/0.54  (step @p23 :rule evaluate :args ((+ @t19 1)))
% 0.27/0.54  (step @p24 :rule symm :premises (@p23))
% 0.27/0.54  (step @p25 :rule evaluate :args ((= (to_real @t19) -1/2)))
% 0.27/0.54  (step @p26 :rule arith-int-geq-tighten :premises (@p25 @p24) :args (@t17 -1/2 0))
% 0.27/0.54  (step @p27 :rule arith_poly_norm :args ((= (* 1/2 (to_real (- @t21 -1))) (* 1/1 (- @t20 -1/2)))))
% 0.27/0.54  (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= (>= @t21 -1) (>= @t20 -1/2))))
% 0.27/0.54  (step @p29 :rule trans :premises (@p28 @p26 @p22))
% 0.27/0.54  (step @p30 :rule arith-elim-leq :args (-1 @t21))
% 0.27/0.54  (step @p31 :rule trans :premises (@p30 @p29))
% 0.27/0.54  (step @p32 :rule arith_poly_norm :args ((= (* -1 @t4) @t21)))
% 0.27/0.54  (step @p33 :rule refl :args (@t4))
% 0.27/0.54  (step @p34 :rule evaluate :args (@t5))
% 0.27/0.54  (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t6))
% 0.27/0.54  (step @p36 :rule trans :premises (@p35 @p32))
% 0.27/0.54  (step @p37 :rule cong :premises (@p34 @p36) :args (@t7))
% 0.27/0.54  (step @p38 :rule trans :premises (@p37 @p31))
% 0.27/0.54  (step @p39 :rule cong :premises (@p38) :args (@t8))
% 0.27/0.54  (step @p40 :rule trans :premises (@p39 @p17))
% 0.27/0.54  (step @p41 :rule nary_cong :premises (@p40 @p16) :args (@t9))
% 0.27/0.54  (step @p42 :rule cong :premises (@p41) :args (@t10))
% 0.27/0.54  (step @p43 :rule eq_resolve :premises (@p1 @p42))
% 0.27/0.54  (step @p44 :rule not_or_elim :premises (@p43) :args (1))
% 0.27/0.54  (step @p45 :rule not_not_elim :premises (@p44))
% 0.27/0.54  (step @p46 :rule cong :premises (@p45 @p13) :args (@t15))
% 0.27/0.54  (step @p47 :rule cong :premises (@p46) :args (@t22))
% 0.27/0.54  (step @p48 :rule cong :premises (@p45 @p13) :args (@t16))
% 0.27/0.54  (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t23))
% 0.27/0.54  (step @p50 :rule cong :premises (@p49) :args ((not @t23)))
% 0.27/0.54  (step @p51 :rule trans :premises (@p50 @p12))
% 0.27/0.54  (step @p52 :rule trans :premises (@p42 @p51))
% 0.27/0.54  (step @p53 false :rule eq_resolve :premises (@p1 @p52))
% 0.27/0.54  )
% 0.27/0.54  % SZS output end Proof
% 0.27/0.55  % cvc5 exiting
%------------------------------------------------------------------------------