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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM915_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 : n020.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 08:40:58 AM UTC 2026

% Result   : Theorem 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM915_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n020.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 12:31:55 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_ARI
% 0.39/0.56  --- Run --finite-model-find --decision=internal at 45...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (define @t1 () (@var "V" Int))
% 0.39/0.56  (define @t2 () (@var "W" Int))
% 0.39/0.56  (define @t3 () (@var "U" Int))
% 0.39/0.56  (define @t4 () (+ @t3 @t2))
% 0.39/0.56  (define @t5 () (= @t4 @t1))
% 0.39/0.56  (define @t6 () (@list @t2))
% 0.39/0.56  (define @t7 () (exists @t6 @t5))
% 0.39/0.56  (define @t8 () (@list @t3 @t1))
% 0.39/0.56  (define @t9 () (forall @t8 @t7))
% 0.39/0.56  (define @t10 () (not @t9))
% 0.39/0.56  (define @t11 () (+ @t3 (* -1 @t1)))
% 0.39/0.56  (define @t12 () (+ (* -1 @t3) @t1))
% 0.39/0.56  (define @t13 () (* -1 @t11))
% 0.39/0.56  (define @t14 () (* -1 @t13))
% 0.39/0.56  (define @t15 () (+ @t1 @t14))
% 0.39/0.56  (define @t16 () (= @t3 @t15))
% 0.39/0.56  (define @t17 () (not @t16))
% 0.39/0.56  (define @t18 () (+ @t1 (* -1 @t2)))
% 0.39/0.56  (define @t19 () (= @t3 @t18))
% 0.39/0.56  (define @t20 () (not @t19))
% 0.39/0.56  (define @t21 () (= @t2 @t13))
% 0.39/0.56  (define @t22 () (* 1 (- @t3 @t18)))
% 0.39/0.56  (define @t23 () (or @t20 @t20))
% 0.39/0.56  (define @t24 () (forall @t6 @t20))
% 0.39/0.56  (define @t25 () (not @t24))
% 0.39/0.56  (assume @p1 @t10)
% 0.39/0.56  (assume @p2 true)
% 0.39/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.39/0.56  (step @p4 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 0.39/0.56  (step @p5 :rule evaluate :args ((not false)))
% 0.39/0.56  (step @p6 :rule eq-refl :args (@t3))
% 0.39/0.56  (step @p7 :rule arith_poly_norm :args ((= (+ @t1 @t11) @t3)))
% 0.39/0.56  (step @p8 :rule arith_poly_norm :args ((= (* -1 @t12) @t11)))
% 0.39/0.56  (step @p9 :rule arith_poly_norm :args ((= @t13 @t12)))
% 0.39/0.56  (step @p10 :rule refl :args (-1))
% 0.39/0.56  (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t14))
% 0.39/0.56  (step @p12 :rule trans :premises (@p11 @p8))
% 0.39/0.56  (step @p13 :rule refl :args (@t1))
% 0.39/0.56  (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t15))
% 0.39/0.56  (step @p15 :rule trans :premises (@p14 @p7))
% 0.39/0.56  (step @p16 :rule refl :args (@t3))
% 0.39/0.56  (step @p17 :rule cong :premises (@p16 @p15) :args (@t16))
% 0.39/0.56  (step @p18 :rule trans :premises (@p17 @p6))
% 0.39/0.56  (step @p19 :rule cong :premises (@p18) :args (@t17))
% 0.39/0.56  (step @p20 :rule trans :premises (@p19 @p3))
% 0.39/0.56  (step @p21 :rule quant-var-elim-eq :args ((= (forall @t6 (or (not @t21) @t20)) @t17)))
% 0.39/0.56  (step @p22 :rule refl :args (@t20))
% 0.39/0.56  (step @p23 :rule arith_poly_norm :args ((= @t22 (* 1 (- @t2 @t13)))))
% 0.39/0.56  (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t19 @t21)))
% 0.39/0.56  (step @p25 :rule cong :premises (@p24) :args (@t20))
% 0.39/0.56  (step @p26 :rule nary_cong :premises (@p25 @p22) :args (@t23))
% 0.39/0.56  (step @p27 :rule aci_norm :args ((= @t20 @t23)))
% 0.39/0.56  (step @p28 :rule trans :premises (@p27 @p26))
% 0.39/0.56  (step @p29 :rule cong :premises (@p28) :args (@t24))
% 0.39/0.56  (step @p30 :rule trans :premises (@p29 @p21))
% 0.39/0.56  (step @p31 :rule trans :premises (@p30 @p20))
% 0.39/0.56  (step @p32 :rule cong :premises (@p31) :args (@t25))
% 0.39/0.56  (step @p33 :rule trans :premises (@p32 @p5))
% 0.39/0.56  (step @p34 :rule exists-elim :args ((= (exists @t6 @t19) @t25)))
% 0.39/0.56  (step @p35 :rule trans :premises (@p34 @p33))
% 0.39/0.56  (step @p36 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) @t22)))
% 0.39/0.56  (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= @t5 @t19)))
% 0.39/0.56  (step @p38 :rule cong :premises (@p37) :args (@t7))
% 0.39/0.56  (step @p39 :rule trans :premises (@p38 @p35))
% 0.39/0.56  (step @p40 :rule cong :premises (@p39) :args (@t9))
% 0.39/0.56  (step @p41 :rule trans :premises (@p40 @p4))
% 0.39/0.56  (step @p42 :rule cong :premises (@p41) :args (@t10))
% 0.39/0.56  (step @p43 :rule trans :premises (@p42 @p3))
% 0.39/0.56  (step @p44 false :rule eq_resolve :premises (@p1 @p43))
% 0.39/0.56  )
% 0.39/0.56  % SZS output end Proof
% 0.39/0.56  % cvc5 exiting
%------------------------------------------------------------------------------