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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI584_1 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:07:55 AM UTC 2026

% Result   : Theorem 0.38s 0.60s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI584_1 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n026.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 : Wed Jun  3 02:29:55 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_ARI
% 0.38/0.60  --- Run --finite-model-find --decision=internal at 45...
% 0.38/0.60  % SZS status Theorem
% 0.38/0.60  % SZS output start Proof
% 0.38/0.60  (
% 0.38/0.60  (define @t1 () (@var "Y" Int))
% 0.38/0.60  (define @t2 () (+ @t1 3))
% 0.38/0.60  (define @t3 () (@var "Z" Int))
% 0.38/0.60  (define @t4 () (and (< @t1 @t3) (< @t3 @t2)))
% 0.38/0.60  (define @t5 () (not @t4))
% 0.38/0.60  (define @t6 () (@var "X" Int))
% 0.38/0.60  (define @t7 () (+ @t6 5))
% 0.38/0.60  (define @t8 () (and (< @t6 @t3) (< @t3 @t7) @t5))
% 0.38/0.60  (define @t9 () (@list @t3))
% 0.38/0.60  (define @t10 () (exists @t9 @t8))
% 0.38/0.60  (define @t11 () (@list @t6 @t1))
% 0.38/0.60  (define @t12 () (forall @t11 @t10))
% 0.38/0.60  (define @t13 () (not @t12))
% 0.38/0.60  (define @t14 () (* -1 0))
% 0.38/0.60  (define @t15 () (+ @t14 -2))
% 0.38/0.60  (define @t16 () (* -1 @t3))
% 0.38/0.60  (define @t17 () (+ @t1 @t16))
% 0.38/0.60  (define @t18 () (>= @t17 -2))
% 0.38/0.60  (define @t19 () (>= @t17 0))
% 0.38/0.60  (define @t20 () (and (not @t19) @t18))
% 0.38/0.60  (define @t21 () (+ @t6 @t16))
% 0.38/0.60  (define @t22 () (>= @t21 -4))
% 0.38/0.60  (define @t23 () (not @t22))
% 0.38/0.60  (define @t24 () (>= @t21 0))
% 0.38/0.60  (define @t25 () (forall @t11 (not (forall @t9 (or @t24 @t23 @t20)))))
% 0.38/0.60  (define @t26 () (@quantifiers_skolemize @t25 0))
% 0.38/0.60  (define @t27 () (* 0 @t26))
% 0.38/0.60  (define @t28 () (@quantifiers_skolemize @t25 1))
% 0.38/0.60  (define @t29 () (* 0 @t28))
% 0.38/0.60  (define @t30 () (+ @t29 @t27))
% 0.38/0.60  (define @t31 () (* -1 @t28))
% 0.38/0.60  (define @t32 () (+ @t26 @t31))
% 0.38/0.60  (define @t33 () (+ (* -1 @t32) @t32))
% 0.38/0.60  (define @t34 () (not @t20))
% 0.38/0.60  (define @t35 () (not @t34))
% 0.38/0.60  (define @t36 () (not @t24))
% 0.38/0.60  (define @t37 () (not @t36))
% 0.38/0.60  (define @t38 () (or @t37 @t23 @t35))
% 0.38/0.60  (define @t39 () (and @t36 @t22 @t34))
% 0.38/0.60  (define @t40 () (forall @t9 (not @t39)))
% 0.38/0.60  (define @t41 () (not @t40))
% 0.38/0.60  (define @t42 () (+ 3 @t1))
% 0.38/0.60  (define @t43 () (+ @t17 1))
% 0.38/0.60  (define @t44 () (>= @t3 @t2))
% 0.38/0.60  (define @t45 () (>= @t1 @t3))
% 0.38/0.60  (define @t46 () (+ 5 @t6))
% 0.38/0.60  (define @t47 () (+ @t21 1))
% 0.38/0.60  (define @t48 () (>= @t3 @t7))
% 0.38/0.60  (define @t49 () (>= @t6 @t3))
% 0.38/0.60  (define @t50 () (+ @t3 @t31))
% 0.38/0.60  (define @t51 () (>= @t50 1))
% 0.38/0.60  (define @t52 () (* -1 @t26))
% 0.38/0.60  (define @t53 () (+ @t3 @t52))
% 0.38/0.60  (define @t54 () (>= @t53 5))
% 0.38/0.60  (define @t55 () (forall @t9 (or (not (>= @t53 1)) @t54 (and @t51 (not (>= @t50 3))))))
% 0.38/0.60  (define @t56 () (not @t25))
% 0.38/0.60  (define @t57 () (+ @t16 @t28))
% 0.38/0.60  (define @t58 () (+ @t50 1))
% 0.38/0.60  (define @t59 () (+ @t28 @t16))
% 0.38/0.60  (define @t60 () (>= @t59 -2))
% 0.38/0.60  (define @t61 () (>= @t59 0))
% 0.38/0.60  (define @t62 () (not @t61))
% 0.38/0.60  (define @t63 () (and @t62 @t60))
% 0.38/0.60  (define @t64 () (+ @t16 @t26))
% 0.38/0.60  (define @t65 () (+ @t53 1))
% 0.38/0.60  (define @t66 () (+ @t26 @t16))
% 0.38/0.60  (define @t67 () (>= @t66 -4))
% 0.38/0.60  (define @t68 () (not @t67))
% 0.38/0.60  (define @t69 () (>= @t66 0))
% 0.38/0.60  (define @t70 () (or @t69 @t68 @t63))
% 0.38/0.60  (define @t71 () (forall @t9 @t70))
% 0.38/0.60  (define @t72 () (not (not @t71)))
% 0.38/0.60  (define @t73 () (>= @t32 -1))
% 0.38/0.60  (define @t74 () (not @t73))
% 0.38/0.60  (define @t75 () (>= @t32 -3))
% 0.38/0.60  (define @t76 () (and @t75 @t74))
% 0.38/0.60  (define @t77 () (+ 4 @t26 @t31))
% 0.38/0.60  (define @t78 () (+ @t31 @t26 4))
% 0.38/0.60  (define @t79 () (+ 4 @t26))
% 0.38/0.60  (define @t80 () (+ @t79 @t31))
% 0.38/0.60  (define @t81 () (>= @t80 3))
% 0.38/0.60  (define @t82 () (not @t81))
% 0.38/0.60  (define @t83 () (>= @t80 1))
% 0.38/0.60  (define @t84 () (and @t83 @t82))
% 0.38/0.60  (define @t85 () (+ @t52 @t26 4))
% 0.38/0.60  (define @t86 () (+ @t79 @t52))
% 0.38/0.60  (define @t87 () (>= @t86 5))
% 0.38/0.60  (define @t88 () (>= @t86 1))
% 0.38/0.60  (define @t89 () (not @t88))
% 0.38/0.60  (define @t90 () (or @t89 @t87 @t84))
% 0.38/0.60  (define @t91 () (@list false))
% 0.38/0.60  (define @t92 () (@list @t55))
% 0.38/0.60  (define @t93 () (>= @t32 0))
% 0.38/0.60  (define @t94 () (>= @t32 2))
% 0.38/0.60  (define @t95 () (and @t93 (not @t94)))
% 0.38/0.60  (define @t96 () (+ 1 @t26 @t31))
% 0.38/0.60  (define @t97 () (+ @t31 @t26 1))
% 0.38/0.60  (define @t98 () (+ 1 @t26))
% 0.38/0.60  (define @t99 () (+ @t98 @t31))
% 0.38/0.60  (define @t100 () (>= @t99 3))
% 0.38/0.60  (define @t101 () (not @t100))
% 0.38/0.60  (define @t102 () (>= @t99 1))
% 0.38/0.60  (define @t103 () (and @t102 @t101))
% 0.38/0.60  (define @t104 () (+ @t52 @t26 1))
% 0.38/0.60  (define @t105 () (+ @t98 @t52))
% 0.38/0.60  (define @t106 () (>= @t105 5))
% 0.38/0.60  (define @t107 () (>= @t105 1))
% 0.38/0.60  (define @t108 () (not @t107))
% 0.38/0.60  (define @t109 () (or @t108 @t106 @t103))
% 0.38/0.60  (assume @p1 @t13)
% 0.38/0.60  (assume @p2 true)
% 0.38/0.60  (step @p3 :rule evaluate :args ((<= 0 -2)))
% 0.38/0.60  (step @p4 :rule evaluate :args ((+ 0 -2)))
% 0.38/0.60  (step @p5 :rule refl :args (-2))
% 0.38/0.60  (step @p6 :rule evaluate :args (@t14))
% 0.38/0.60  (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t15))
% 0.38/0.60  (step @p8 :rule trans :premises (@p7 @p4))
% 0.38/0.60  (step @p9 :rule evaluate :args ((+ 0 0)))
% 0.38/0.60  (step @p10 :rule arith_poly_norm :args ((= @t27 0)))
% 0.38/0.60  (step @p11 :rule arith_poly_norm :args ((= @t29 0)))
% 0.38/0.60  (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t30))
% 0.38/0.60  (step @p13 :rule trans :premises (@p12 @p9))
% 0.38/0.60  (step @p14 :rule arith_poly_norm :args ((= @t33 @t30)))
% 0.38/0.60  (step @p15 :rule trans :premises (@p14 @p13))
% 0.38/0.60  (step @p16 :rule cong :premises (@p15 @p8) :args ((<= @t33 @t15)))
% 0.38/0.60  (step @p17 :rule trans :premises (@p16 @p3))
% 0.38/0.60  (step @p18 :rule arith-elim-lt :args (@t32 -1))
% 0.38/0.60  (step @p19 :rule symm :premises (@p18))
% 0.38/0.60  (step @p20 :rule bool-double-not-elim :args (@t20))
% 0.38/0.60  (step @p21 :rule refl :args (@t23))
% 0.38/0.60  (step @p22 :rule bool-double-not-elim :args (@t24))
% 0.38/0.60  (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t38))
% 0.38/0.60  (step @p24 :rule aci_norm :args ((= (or @t37 (or @t23 @t35)) @t38)))
% 0.38/0.60  (step @p25 :rule trans :premises (@p24 @p23))
% 0.38/0.60  (step @p26 :rule bool-and-de-morgan :args (@t22 @t34 true))
% 0.38/0.60  (step @p27 :rule refl :args (@t37))
% 0.38/0.60  (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t37 (not (and @t22 @t34)))))
% 0.38/0.60  (step @p29 :rule bool-and-de-morgan :args (@t36 @t22 (and @t34)))
% 0.38/0.60  (step @p30 :rule trans :premises (@p29 @p28))
% 0.38/0.60  (step @p31 :rule trans :premises (@p30 @p25))
% 0.38/0.60  (step @p32 :rule cong :premises (@p31) :args (@t40))
% 0.38/0.60  (step @p33 :rule cong :premises (@p32) :args (@t41))
% 0.38/0.60  (step @p34 :rule exists-elim :args ((= (exists @t9 @t39) @t41)))
% 0.38/0.60  (step @p35 :rule trans :premises (@p34 @p33))
% 0.38/0.60  (step @p36 :rule bool-double-not-elim :args (@t18))
% 0.38/0.60  (step @p37 :rule arith_poly_norm :args ((= (* -3 (- -2 @t43)) (* -3 (- @t3 @t42)))))
% 0.38/0.60  (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= -2 @t43) (>= @t3 @t42))))
% 0.38/0.60  (step @p39 :rule arith-geq-tighten :args (@t17 -2))
% 0.38/0.60  (step @p40 :rule trans :premises (@p39 @p38))
% 0.38/0.60  (step @p41 :rule symm :premises (@p40))
% 0.38/0.60  (step @p42 :rule arith_poly_norm :args ((= @t2 @t42)))
% 0.38/0.60  (step @p43 :rule refl :args (@t3))
% 0.38/0.60  (step @p44 :rule cong :premises (@p43 @p42) :args (@t44))
% 0.38/0.60  (step @p45 :rule trans :premises (@p44 @p41))
% 0.38/0.60  (step @p46 :rule cong :premises (@p45) :args ((not @t44)))
% 0.38/0.60  (step @p47 :rule trans :premises (@p46 @p36))
% 0.38/0.60  (step @p48 :rule arith-elim-lt :args (@t3 @t2))
% 0.38/0.60  (step @p49 :rule trans :premises (@p48 @p47))
% 0.38/0.60  (step @p50 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t17 0)))))
% 0.38/0.60  (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t45 @t19)))
% 0.38/0.60  (step @p52 :rule cong :premises (@p51) :args ((not @t45)))
% 0.38/0.60  (step @p53 :rule arith-elim-lt :args (@t1 @t3))
% 0.38/0.60  (step @p54 :rule trans :premises (@p53 @p52))
% 0.38/0.60  (step @p55 :rule nary_cong :premises (@p54 @p49) :args (@t4))
% 0.38/0.60  (step @p56 :rule cong :premises (@p55) :args (@t5))
% 0.38/0.60  (step @p57 :rule bool-double-not-elim :args (@t22))
% 0.38/0.60  (step @p58 :rule arith_poly_norm :args ((= (* -5 (- -4 @t47)) (* -5 (- @t3 @t46)))))
% 0.38/0.60  (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= (>= -4 @t47) (>= @t3 @t46))))
% 0.38/0.60  (step @p60 :rule arith-geq-tighten :args (@t21 -4))
% 0.38/0.60  (step @p61 :rule trans :premises (@p60 @p59))
% 0.38/0.60  (step @p62 :rule symm :premises (@p61))
% 0.38/0.60  (step @p63 :rule arith_poly_norm :args ((= @t7 @t46)))
% 0.38/0.60  (step @p64 :rule cong :premises (@p43 @p63) :args (@t48))
% 0.38/0.60  (step @p65 :rule trans :premises (@p64 @p62))
% 0.38/0.60  (step @p66 :rule cong :premises (@p65) :args ((not @t48)))
% 0.38/0.60  (step @p67 :rule trans :premises (@p66 @p57))
% 0.38/0.60  (step @p68 :rule arith-elim-lt :args (@t3 @t7))
% 0.38/0.60  (step @p69 :rule trans :premises (@p68 @p67))
% 0.38/0.60  (step @p70 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t3)) (* 1 (- @t21 0)))))
% 0.38/0.60  (step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= @t49 @t24)))
% 0.38/0.60  (step @p72 :rule cong :premises (@p71) :args ((not @t49)))
% 0.38/0.60  (step @p73 :rule arith-elim-lt :args (@t6 @t3))
% 0.38/0.60  (step @p74 :rule trans :premises (@p73 @p72))
% 0.38/0.60  (step @p75 :rule nary_cong :premises (@p74 @p69 @p56) :args (@t8))
% 0.38/0.60  (step @p76 :rule cong :premises (@p75) :args (@t10))
% 0.38/0.60  (step @p77 :rule trans :premises (@p76 @p35))
% 0.38/0.60  (step @p78 :rule cong :premises (@p77) :args (@t12))
% 0.38/0.60  (step @p79 :rule cong :premises (@p78) :args (@t13))
% 0.38/0.60  (step @p80 :rule eq_resolve :premises (@p1 @p79))
% 0.38/0.60  (step @p81 :rule refl :args (@t55))
% 0.38/0.60  (step @p82 :rule bool-double-not-elim :args (@t25))
% 0.38/0.60  (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t56) @t55)))
% 0.38/0.60  (step @p84 :rule arith_poly_norm :args ((= (* 2 (- 3 @t58)) (* 2 (- @t57 -2)))))
% 0.38/0.60  (step @p85 :rule arith_poly_norm_rel :premises (@p84) :args ((= (>= 3 @t58) (>= @t57 -2))))
% 0.38/0.60  (step @p86 :rule arith-geq-tighten :args (@t50 3))
% 0.38/0.60  (step @p87 :rule trans :premises (@p86 @p85))
% 0.38/0.60  (step @p88 :rule symm :premises (@p87))
% 0.38/0.60  (step @p89 :rule arith_poly_norm :args ((= @t59 @t57)))
% 0.38/0.60  (step @p90 :rule cong :premises (@p89 @p5) :args (@t60))
% 0.38/0.60  (step @p91 :rule trans :premises (@p90 @p88))
% 0.38/0.60  (step @p92 :rule bool-double-not-elim :args (@t51))
% 0.38/0.60  (step @p93 :rule arith_poly_norm :args ((= (* -1 (- 1 @t58)) (* -1 (- @t57 0)))))
% 0.38/0.60  (step @p94 :rule arith_poly_norm_rel :premises (@p93) :args ((= (>= 1 @t58) (>= @t57 0))))
% 0.38/0.60  (step @p95 :rule arith-geq-tighten :args (@t50 1))
% 0.38/0.60  (step @p96 :rule trans :premises (@p95 @p94))
% 0.38/0.60  (step @p97 :rule symm :premises (@p96))
% 0.38/0.60  (step @p98 :rule refl :args (0))
% 0.38/0.60  (step @p99 :rule cong :premises (@p89 @p98) :args (@t61))
% 0.38/0.60  (step @p100 :rule trans :premises (@p99 @p97))
% 0.38/0.60  (step @p101 :rule cong :premises (@p100) :args (@t62))
% 0.38/0.60  (step @p102 :rule trans :premises (@p101 @p92))
% 0.38/0.60  (step @p103 :rule nary_cong :premises (@p102 @p91) :args (@t63))
% 0.38/0.60  (step @p104 :rule bool-double-not-elim :args (@t54))
% 0.38/0.60  (step @p105 :rule arith_poly_norm :args ((= (* 4 (- 5 @t65)) (* 4 (- @t64 -4)))))
% 0.38/0.60  (step @p106 :rule arith_poly_norm_rel :premises (@p105) :args ((= (>= 5 @t65) (>= @t64 -4))))
% 0.38/0.60  (step @p107 :rule arith-geq-tighten :args (@t53 5))
% 0.38/0.60  (step @p108 :rule trans :premises (@p107 @p106))
% 0.38/0.60  (step @p109 :rule symm :premises (@p108))
% 0.38/0.60  (step @p110 :rule refl :args (-4))
% 0.38/0.60  (step @p111 :rule arith_poly_norm :args ((= @t66 @t64)))
% 0.38/0.60  (step @p112 :rule cong :premises (@p111 @p110) :args (@t67))
% 0.38/0.60  (step @p113 :rule trans :premises (@p112 @p109))
% 0.38/0.60  (step @p114 :rule cong :premises (@p113) :args (@t68))
% 0.38/0.60  (step @p115 :rule trans :premises (@p114 @p104))
% 0.38/0.60  (step @p116 :rule arith_poly_norm :args ((= (* -1 (- 1 @t65)) (* -1 (- @t64 0)))))
% 0.38/0.60  (step @p117 :rule arith_poly_norm_rel :premises (@p116) :args ((= (>= 1 @t65) (>= @t64 0))))
% 0.38/0.60  (step @p118 :rule arith-geq-tighten :args (@t53 1))
% 0.38/0.60  (step @p119 :rule trans :premises (@p118 @p117))
% 0.38/0.60  (step @p120 :rule symm :premises (@p119))
% 0.38/0.60  (step @p121 :rule cong :premises (@p111 @p98) :args (@t69))
% 0.38/0.60  (step @p122 :rule trans :premises (@p121 @p120))
% 0.38/0.60  (step @p123 :rule nary_cong :premises (@p122 @p115 @p103) :args (@t70))
% 0.38/0.60  (step @p124 :rule cong :premises (@p123) :args (@t71))
% 0.38/0.60  (step @p125 :rule bool-double-not-elim :args (@t71))
% 0.38/0.60  (step @p126 :rule trans :premises (@p125 @p124))
% 0.38/0.60  (step @p127 :rule refl :args (@t56))
% 0.38/0.60  (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t56 @t72)))
% 0.38/0.60  (assume-push @p226 @t56)
% 0.38/0.60  (step @p130 :rule skolemize :premises (@p80))
% 0.38/0.60  (step-pop @p227 :rule scope :premises (@p130))
% 0.38/0.60  (step @p131 :rule process_scope :premises (@p227) :args (@t72))
% 0.38/0.60  (step @p133 :rule eq_resolve :premises (@p131 @p128))
% 0.38/0.60  (step @p134 :rule implies_elim :premises (@p133))
% 0.38/0.60  (step @p135 :rule eq_resolve :premises (@p134 @p83))
% 0.38/0.60  (step @p136 :rule chain_m_resolution :premises (@p135 @p80) :args (@t55 (@list true) (@list @t25)))
% 0.38/0.60  (step @p137 :rule aci_norm :args ((= (or false false @t76) @t76)))
% 0.38/0.60  (step @p138 :rule arith_poly_norm :args ((= (* 1 (- @t77 3)) (* 1 (- @t32 -1)))))
% 0.38/0.60  (step @p139 :rule arith_poly_norm_rel :premises (@p138) :args ((= (>= @t77 3) @t73)))
% 0.38/0.60  (step @p140 :rule refl :args (3))
% 0.38/0.60  (step @p141 :rule arith_poly_norm :args ((= @t78 @t77)))
% 0.38/0.60  (step @p142 :rule arith_poly_norm :args ((= @t80 @t78)))
% 0.38/0.60  (step @p143 :rule trans :premises (@p142 @p141))
% 0.38/0.60  (step @p144 :rule cong :premises (@p143 @p140) :args (@t81))
% 0.38/0.60  (step @p145 :rule trans :premises (@p144 @p139))
% 0.38/0.60  (step @p146 :rule cong :premises (@p145) :args (@t82))
% 0.38/0.60  (step @p147 :rule arith_poly_norm :args ((= (* 3 (- @t77 1)) (* 3 (- @t32 -3)))))
% 0.38/0.60  (step @p148 :rule arith_poly_norm_rel :premises (@p147) :args ((= (>= @t77 1) @t75)))
% 0.38/0.60  (step @p149 :rule refl :args (1))
% 0.38/0.60  (step @p150 :rule cong :premises (@p143 @p149) :args (@t83))
% 0.38/0.60  (step @p151 :rule trans :premises (@p150 @p148))
% 0.38/0.60  (step @p152 :rule nary_cong :premises (@p151 @p146) :args (@t84))
% 0.38/0.60  (step @p153 :rule evaluate :args ((>= 4 5)))
% 0.38/0.60  (step @p154 :rule refl :args (5))
% 0.38/0.60  (step @p155 :rule arith_poly_norm :args ((= @t85 4)))
% 0.38/0.60  (step @p156 :rule arith_poly_norm :args ((= @t86 @t85)))
% 0.38/0.60  (step @p157 :rule trans :premises (@p156 @p155))
% 0.38/0.60  (step @p158 :rule cong :premises (@p157 @p154) :args (@t87))
% 0.38/0.60  (step @p159 :rule trans :premises (@p158 @p153))
% 0.38/0.60  (step @p160 :rule evaluate :args ((not true)))
% 0.38/0.60  (step @p161 :rule evaluate :args ((>= 4 1)))
% 0.38/0.60  (step @p162 :rule cong :premises (@p157 @p149) :args (@t88))
% 0.38/0.60  (step @p163 :rule trans :premises (@p162 @p161))
% 0.38/0.60  (step @p164 :rule cong :premises (@p163) :args (@t89))
% 0.38/0.60  (step @p165 :rule trans :premises (@p164 @p160))
% 0.38/0.60  (step @p166 :rule nary_cong :premises (@p165 @p159 @p152) :args (@t90))
% 0.38/0.60  (step @p167 :rule trans :premises (@p166 @p137))
% 0.38/0.60  (step @p168 :rule cong :premises (@p81 @p167) :args ((=> @t55 @t90)))
% 0.38/0.60  (assume-push @p228 @t55)
% 0.38/0.60  (step @p170 :rule instantiate :premises (@p136) :args ((@list @t79)))
% 0.38/0.60  (step-pop @p229 :rule scope :premises (@p170))
% 0.38/0.60  (step @p171 :rule process_scope :premises (@p229) :args (@t90))
% 0.38/0.60  (step @p173 :rule eq_resolve :premises (@p171 @p168))
% 0.38/0.60  (step @p174 :rule implies_elim :premises (@p173))
% 0.38/0.60  (step @p175 :rule chain_m_resolution :premises (@p174 @p136) :args (@t76 @t91 @t92))
% 0.38/0.60  (step @p176 :rule cnf_and_pos :args (@t76 1))
% 0.38/0.60  (step @p177 :rule reordering :premises (@p176) :args ((or @t74 (not @t76))))
% 0.38/0.60  (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t74 @t91 (@list @t76)))
% 0.38/0.60  (step @p179 :rule eq_resolve :premises (@p178 @p19))
% 0.38/0.60  (step @p180 :rule int_tight_ub :premises (@p179))
% 0.38/0.60  (step @p181 :rule arith_mult_neg :args (-1 @t93))
% 0.38/0.60  (step @p182 :rule aci_norm :args ((= (or false false @t95) @t95)))
% 0.38/0.60  (step @p183 :rule arith_poly_norm :args ((= (* -2 (- @t96 3)) (* -2 (- @t32 2)))))
% 0.38/0.60  (step @p184 :rule arith_poly_norm_rel :premises (@p183) :args ((= (>= @t96 3) @t94)))
% 0.38/0.60  (step @p185 :rule arith_poly_norm :args ((= @t97 @t96)))
% 0.38/0.60  (step @p186 :rule arith_poly_norm :args ((= @t99 @t97)))
% 0.38/0.60  (step @p187 :rule trans :premises (@p186 @p185))
% 0.38/0.60  (step @p188 :rule cong :premises (@p187 @p140) :args (@t100))
% 0.38/0.60  (step @p189 :rule trans :premises (@p188 @p184))
% 0.38/0.60  (step @p190 :rule cong :premises (@p189) :args (@t101))
% 0.38/0.60  (step @p191 :rule arith_poly_norm :args ((= (* 1 (- @t96 1)) (* 1 (- @t32 0)))))
% 0.38/0.60  (step @p192 :rule arith_poly_norm_rel :premises (@p191) :args ((= (>= @t96 1) @t93)))
% 0.38/0.60  (step @p193 :rule cong :premises (@p187 @p149) :args (@t102))
% 0.38/0.60  (step @p194 :rule trans :premises (@p193 @p192))
% 0.38/0.60  (step @p195 :rule nary_cong :premises (@p194 @p190) :args (@t103))
% 0.38/0.60  (step @p196 :rule evaluate :args ((>= 1 5)))
% 0.38/0.60  (step @p197 :rule arith_poly_norm :args ((= @t104 1)))
% 0.38/0.60  (step @p198 :rule arith_poly_norm :args ((= @t105 @t104)))
% 0.38/0.60  (step @p199 :rule trans :premises (@p198 @p197))
% 0.38/0.60  (step @p200 :rule cong :premises (@p199 @p154) :args (@t106))
% 0.38/0.60  (step @p201 :rule trans :premises (@p200 @p196))
% 0.38/0.60  (step @p202 :rule evaluate :args ((>= 1 1)))
% 0.38/0.60  (step @p203 :rule cong :premises (@p199 @p149) :args (@t107))
% 0.38/0.60  (step @p204 :rule trans :premises (@p203 @p202))
% 0.38/0.60  (step @p205 :rule cong :premises (@p204) :args (@t108))
% 0.38/0.60  (step @p206 :rule trans :premises (@p205 @p160))
% 0.38/0.60  (step @p207 :rule nary_cong :premises (@p206 @p201 @p195) :args (@t109))
% 0.38/0.60  (step @p208 :rule trans :premises (@p207 @p182))
% 0.38/0.60  (step @p209 :rule cong :premises (@p81 @p208) :args ((=> @t55 @t109)))
% 0.38/0.60  (assume-push @p230 @t55)
% 0.38/0.60  (step @p211 :rule instantiate :premises (@p136) :args ((@list @t98)))
% 0.38/0.60  (step-pop @p231 :rule scope :premises (@p211))
% 0.38/0.60  (step @p212 :rule process_scope :premises (@p231) :args (@t109))
% 0.38/0.60  (step @p214 :rule eq_resolve :premises (@p212 @p209))
% 0.38/0.60  (step @p215 :rule implies_elim :premises (@p214))
% 0.38/0.60  (step @p216 :rule chain_m_resolution :premises (@p215 @p136) :args (@t95 @t91 @t92))
% 0.38/0.60  (step @p217 :rule cnf_and_pos :args (@t95 0))
% 0.38/0.60  (step @p218 :rule reordering :premises (@p217) :args ((or @t93 (not @t95))))
% 0.38/0.60  (step @p219 :rule chain_m_resolution :premises (@p218 @p216) :args (@t93 @t91 (@list @t95)))
% 0.38/0.60  (step @p220 :rule evaluate :args ((< -1 0)))
% 0.38/0.60  (step @p221 :rule true_elim :premises (@p220))
% 0.38/0.60  (step @p222 :rule and_intro :premises (@p221 @p219))
% 0.38/0.60  (step @p223 :rule modus_ponens :premises (@p222 @p181))
% 0.38/0.60  (step @p224 :rule arith_sum_ub :premises (@p223 @p180))
% 0.38/0.60  (step @p225 false :rule eq_resolve :premises (@p224 @p17))
% 0.38/0.60  )
% 0.38/0.60  % SZS output end Proof
% 0.38/0.60  % cvc5 exiting
%------------------------------------------------------------------------------