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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI121_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n025.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 08:07:11 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI121_1 : TPTP v9.2.1. Released v5.0.0.
% 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 : n025.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 02:26:01 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_ARI
% 0.29/0.55  --- Run --finite-model-find --decision=internal at 45...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (define @t1 () (@var "Z2" Int))
% 0.29/0.55  (define @t2 () (@var "Z1" Int))
% 0.29/0.55  (define @t3 () (= @t2 @t1))
% 0.29/0.55  (define @t4 () (* 7 6))
% 0.29/0.55  (define @t5 () (= @t4 @t1))
% 0.29/0.55  (define @t6 () (* 6 7))
% 0.29/0.55  (define @t7 () (= @t6 @t2))
% 0.29/0.55  (define @t8 () (and @t7 @t5))
% 0.29/0.55  (define @t9 () (=> @t8 @t3))
% 0.29/0.55  (define @t10 () (@list @t2 @t1))
% 0.29/0.55  (define @t11 () (forall @t10 @t9))
% 0.29/0.55  (define @t12 () (not @t11))
% 0.29/0.55  (define @t13 () (@list @t1))
% 0.29/0.55  (define @t14 () (= @t1 42))
% 0.29/0.55  (define @t15 () (not @t14))
% 0.29/0.55  (define @t16 () (or @t15 @t14))
% 0.29/0.55  (define @t17 () (= 42 @t1))
% 0.29/0.55  (define @t18 () (= 42 42))
% 0.29/0.55  (define @t19 () (not @t18))
% 0.29/0.55  (define @t20 () (or @t19 @t15 @t17))
% 0.29/0.55  (define @t21 () (= @t2 42))
% 0.29/0.55  (define @t22 () (not @t21))
% 0.29/0.55  (define @t23 () (or @t22 @t22 @t15 @t3))
% 0.29/0.55  (define @t24 () (@list @t2))
% 0.29/0.55  (define @t25 () (or @t22 @t15 @t3))
% 0.29/0.55  (define @t26 () (forall @t24 @t25))
% 0.29/0.55  (define @t27 () (forall @t13 @t26))
% 0.29/0.55  (define @t28 () (forall (@list @t1 @t2) @t25))
% 0.29/0.55  (define @t29 () (and @t21 @t14))
% 0.29/0.55  (assume @p1 @t12)
% 0.29/0.55  (assume @p2 true)
% 0.29/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.29/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t13 true) true)))
% 0.29/0.55  (step @p5 :rule bool-or-taut2 :args (false @t14 false false))
% 0.29/0.55  (step @p6 :rule cong :premises (@p5) :args ((forall @t13 @t16)))
% 0.29/0.55  (step @p7 :rule trans :premises (@p6 @p4))
% 0.29/0.55  (step @p8 :rule aci_norm :args ((= (or false @t15 @t14) @t16)))
% 0.29/0.55  (step @p9 :rule arith_poly_norm :args ((= (* -42 (- 42 @t1)) (* 42 (- @t1 42)))))
% 0.29/0.55  (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= @t17 @t14)))
% 0.29/0.55  (step @p11 :rule refl :args (@t15))
% 0.29/0.55  (step @p12 :rule evaluate :args (@t18))
% 0.29/0.55  (step @p13 :rule cong :premises (@p12) :args (@t19))
% 0.29/0.55  (step @p14 :rule trans :premises (@p13 @p3))
% 0.29/0.55  (step @p15 :rule nary_cong :premises (@p14 @p11 @p10) :args (@t20))
% 0.29/0.55  (step @p16 :rule trans :premises (@p15 @p8))
% 0.29/0.55  (step @p17 :rule cong :premises (@p16) :args ((forall @t13 @t20)))
% 0.29/0.55  (step @p18 :rule trans :premises (@p17 @p7))
% 0.29/0.55  (step @p19 :rule quant-var-elim-eq :args ((= (forall @t24 @t23) @t20)))
% 0.29/0.55  (step @p20 :rule aci_norm :args ((= @t25 @t23)))
% 0.29/0.55  (step @p21 :rule cong :premises (@p20) :args (@t26))
% 0.29/0.55  (step @p22 :rule trans :premises (@p21 @p19))
% 0.29/0.55  (step @p23 :rule cong :premises (@p22) :args (@t27))
% 0.29/0.55  (step @p24 :rule quant-merge-prenex :args ((= @t27 @t28)))
% 0.29/0.55  (step @p25 :rule symm :premises (@p24))
% 0.29/0.55  (step @p26 :rule quant_var_reordering :args ((= (forall @t10 @t25) @t28)))
% 0.29/0.55  (step @p27 :rule trans :premises (@p26 @p25 @p23))
% 0.29/0.55  (step @p28 :rule trans :premises (@p27 @p18))
% 0.29/0.55  (step @p29 :rule aci_norm :args ((= (or (or @t22 @t15) @t3) @t25)))
% 0.29/0.55  (step @p30 :rule refl :args (@t3))
% 0.29/0.55  (step @p31 :rule bool-and-de-morgan :args (@t21 @t14 true))
% 0.29/0.55  (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t29) @t3)))
% 0.29/0.55  (step @p33 :rule trans :premises (@p32 @p29))
% 0.29/0.55  (step @p34 :rule bool-impl-elim :args (@t29 @t3))
% 0.29/0.55  (step @p35 :rule trans :premises (@p34 @p33))
% 0.29/0.55  (step @p36 :rule cong :premises (@p35) :args ((forall @t10 (=> @t29 @t3))))
% 0.29/0.55  (step @p37 :rule trans :premises (@p36 @p28))
% 0.29/0.55  (step @p38 :rule refl :args (@t3))
% 0.29/0.55  (step @p39 :rule refl :args (@t1))
% 0.29/0.55  (step @p40 :rule evaluate :args (@t4))
% 0.29/0.55  (step @p41 :rule cong :premises (@p40 @p39) :args (@t5))
% 0.29/0.55  (step @p42 :rule trans :premises (@p41 @p10))
% 0.29/0.55  (step @p43 :rule arith_poly_norm :args ((= (* -42 (- 42 @t2)) (* 42 (- @t2 42)))))
% 0.29/0.55  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (= 42 @t2) @t21)))
% 0.29/0.55  (step @p45 :rule refl :args (@t2))
% 0.29/0.55  (step @p46 :rule evaluate :args (@t6))
% 0.29/0.55  (step @p47 :rule cong :premises (@p46 @p45) :args (@t7))
% 0.29/0.55  (step @p48 :rule trans :premises (@p47 @p44))
% 0.29/0.55  (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t8))
% 0.29/0.55  (step @p50 :rule cong :premises (@p49 @p38) :args (@t9))
% 0.29/0.55  (step @p51 :rule cong :premises (@p50) :args (@t11))
% 0.29/0.55  (step @p52 :rule trans :premises (@p51 @p37))
% 0.29/0.55  (step @p53 :rule cong :premises (@p52) :args (@t12))
% 0.29/0.55  (step @p54 :rule trans :premises (@p53 @p3))
% 0.29/0.55  (step @p55 false :rule eq_resolve :premises (@p1 @p54))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------