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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI739_1 : TPTP v9.2.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 08:08:13 AM UTC 2026

% Result   : Theorem 0.36s 0.56s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI739_1 : TPTP v9.2.1. Released v7.0.0.
% 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 : n027.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
% 0.16/0.35  % DateTime : Wed Jun  3 02:32:51 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_ARI
% 0.36/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.36/0.56  % SZS status Theorem
% 0.36/0.56  % SZS output start Proof
% 0.36/0.56  (
% 0.36/0.56  (declare-const tptp.log10 (-> Real Real))
% 0.36/0.56  (declare-const tptp.log2 (-> Real Real))
% 0.36/0.56  (declare-const tptp.log (-> Real Real))
% 0.36/0.56  (declare-const tptp.exp (-> Real Real))
% 0.36/0.56  (define @t1 () (@var "Y" Real))
% 0.36/0.56  (define @t2 () (@var "X" Real))
% 0.36/0.56  (define @t3 () (tptp.exp @t2))
% 0.36/0.56  (define @t4 () (@list @t2 @t1))
% 0.36/0.56  (define @t5 () (tptp.log @t2))
% 0.36/0.56  (define @t6 () (< 0/1 @t2))
% 0.36/0.56  (define @t7 () (tptp.log @t3))
% 0.36/0.56  (define @t8 () (= @t7 @t2))
% 0.36/0.56  (define @t9 () (@list @t2))
% 0.36/0.56  (define @t10 () (forall @t9 @t8))
% 0.36/0.56  (define @t11 () (tptp.log (tptp.exp 1/1)))
% 0.36/0.56  (define @t12 () (= @t11 1/1))
% 0.36/0.56  (define @t13 () (= @t2 @t7))
% 0.36/0.56  (define @t14 () (= 1/1 @t11))
% 0.36/0.56  (define @t15 () (forall @t9 @t13))
% 0.36/0.56  (assume @p1 (= (tptp.exp 0/1) 1/1))
% 0.36/0.56  (assume @p2 (forall @t4 (= (tptp.exp (+ @t2 @t1)) (* @t3 (tptp.exp @t1)))))
% 0.36/0.56  (assume @p3 (= (tptp.log 1/1) 0/1))
% 0.36/0.56  (assume @p4 (forall @t4 (=> (and @t6 (< 0/1 @t1)) (= (tptp.log (* @t2 @t1)) (+ @t5 (tptp.log @t1))))))
% 0.36/0.56  (assume @p5 @t10)
% 0.36/0.56  (assume @p6 (forall @t9 (=> @t6 (= (tptp.exp @t5) @t2))))
% 0.36/0.56  (assume @p7 (forall @t9 (= (tptp.log2 @t2) (/ @t5 (tptp.log 2/1)))))
% 0.36/0.56  (assume @p8 (forall @t9 (= (tptp.log10 @t2) (/ @t5 (tptp.log 10/1)))))
% 0.36/0.56  (assume @p9 (not @t12))
% 0.36/0.56  (assume @p10 true)
% 0.36/0.56  (step @p11 :rule arith_poly_norm :args ((= (* 1/1 (- @t7 @t2)) (* -1/1 (- @t2 @t7)))))
% 0.36/0.56  (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= @t8 @t13)))
% 0.36/0.56  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.36/0.56  (step @p14 :rule eq_resolve :premises (@p5 @p13))
% 0.36/0.56  (step @p15 :rule arith_poly_norm :args ((= (* -1/1 (- 1/1 @t11)) (* 1/1 (- @t11 1/1)))))
% 0.36/0.56  (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t14 @t12)))
% 0.36/0.56  (step @p17 :rule refl :args (@t15))
% 0.36/0.56  (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t15 @t14)))
% 0.36/0.56  (assume-push @p27 @t15)
% 0.36/0.56  (step @p20 :rule instantiate :premises (@p14) :args ((@list 1/1)))
% 0.36/0.56  (step-pop @p28 :rule scope :premises (@p20))
% 0.36/0.56  (step @p21 :rule process_scope :premises (@p28) :args (@t14))
% 0.36/0.56  (step @p23 :rule eq_resolve :premises (@p21 @p18))
% 0.36/0.56  (step @p24 :rule implies_elim :premises (@p23))
% 0.36/0.56  (step @p25 :rule reordering :premises (@p24) :args ((or @t12 (not @t15))))
% 0.36/0.56  (step @p26 false :rule chain_m_resolution :premises (@p25 @p9 @p14) :args (false (@list true false) (@list @t12 @t15)))
% 0.36/0.56  )
% 0.36/0.56  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------