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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI730_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 : n011.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 08:08:12 AM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI730_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 : n011.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 02:32:20 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_ARI
% 0.37/0.58  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.58  % SZS status Theorem
% 0.37/0.58  % SZS output start Proof
% 0.37/0.58  (
% 0.37/0.58  (define @t1 () (@var "X" Real))
% 0.37/0.58  (define @t2 () (/ 36 5))
% 0.37/0.58  (define @t3 () (<= @t1 @t2))
% 0.37/0.58  (define @t4 () (is_int @t1))
% 0.37/0.58  (define @t5 () (and @t4 @t3))
% 0.37/0.58  (define @t6 () (=> @t5 (<= @t1 7/1)))
% 0.37/0.58  (define @t7 () (@list @t1))
% 0.37/0.58  (define @t8 () (forall @t7 @t6))
% 0.37/0.58  (define @t9 () (not @t8))
% 0.37/0.58  (define @t10 () (* -1/1 @t1))
% 0.37/0.58  (define @t11 () (>= @t10 -7/1))
% 0.37/0.58  (define @t12 () (>= @t10 -36/5))
% 0.37/0.58  (define @t13 () (not @t12))
% 0.37/0.58  (define @t14 () (not @t4))
% 0.37/0.58  (define @t15 () (or @t14 @t13 @t11))
% 0.37/0.58  (define @t16 () (and @t4 @t12))
% 0.37/0.58  (define @t17 () (forall @t7 @t15))
% 0.37/0.58  (define @t18 () (@quantifiers_skolemize @t17 0))
% 0.37/0.58  (define @t19 () (* -1/1 @t18))
% 0.37/0.58  (define @t20 () (>= @t19 -7/1))
% 0.37/0.58  (define @t21 () (>= @t19 -36/5))
% 0.37/0.58  (define @t22 () (not @t21))
% 0.37/0.58  (define @t23 () (@purify (to_int @t18)))
% 0.37/0.58  (define @t24 () (to_real @t23))
% 0.37/0.58  (define @t25 () (= @t18 @t24))
% 0.37/0.58  (define @t26 () (not @t25))
% 0.37/0.58  (define @t27 () (or @t26 @t22 @t20))
% 0.37/0.58  (define @t28 () (not @t27))
% 0.37/0.58  (define @t29 () (not @t17))
% 0.37/0.58  (define @t30 () (is_int @t18))
% 0.37/0.58  (define @t31 () (not @t30))
% 0.37/0.58  (define @t32 () (or @t31 @t22 @t20))
% 0.37/0.58  (define @t33 () (not @t32))
% 0.37/0.58  (define @t34 () (@list true))
% 0.37/0.58  (define @t35 () (@list @t27))
% 0.37/0.58  (define @t36 () (not @t20))
% 0.37/0.58  (define @t37 () (= @t23 7))
% 0.37/0.58  (define @t38 () (not @t37))
% 0.37/0.58  (define @t39 () (not @t36))
% 0.37/0.58  (define @t40 () (not true))
% 0.37/0.58  (define @t41 () (>= 0/1 0/1))
% 0.37/0.58  (define @t42 () (* -1/1 7/1))
% 0.37/0.58  (define @t43 () (+ 7/1 0/1 @t42))
% 0.37/0.58  (define @t44 () (* -1 @t23))
% 0.37/0.58  (define @t45 () (to_real @t44))
% 0.37/0.58  (define @t46 () (+ @t19 @t45 @t24 @t18))
% 0.37/0.58  (define @t47 () (= @t46 0/1))
% 0.37/0.58  (define @t48 () (+ @t18 @t45))
% 0.37/0.58  (define @t49 () (+ @t24 @t48 @t19))
% 0.37/0.58  (define @t50 () (= @t49 @t46))
% 0.37/0.58  (define @t51 () (>= @t49 @t43))
% 0.37/0.58  (define @t52 () (> @t18 7/1))
% 0.37/0.58  (define @t53 () (= (* 7/1 (- 7/1 @t18)) (* 7/1 (- @t19 -7/1))))
% 0.37/0.58  (define @t54 () (>= 7/1 @t18))
% 0.37/0.58  (define @t55 () (= @t54 @t20))
% 0.37/0.58  (define @t56 () (not (<= @t18 7/1)))
% 0.37/0.58  (define @t57 () (not @t54))
% 0.37/0.58  (define @t58 () (< -1/1 0/1))
% 0.37/0.58  (define @t59 () (- @t18 @t24))
% 0.37/0.58  (define @t60 () (= (* 1/1 (- @t48 0/1)) (* 1/1 @t59)))
% 0.37/0.58  (define @t61 () (= @t48 0/1))
% 0.37/0.58  (define @t62 () (= @t61 @t25))
% 0.37/0.58  (define @t63 () (and @t36 @t25 @t37))
% 0.37/0.58  (define @t64 () (* -1/1 @t24))
% 0.37/0.58  (define @t65 () (+ @t18 @t64))
% 0.37/0.58  (define @t66 () (>= @t59 1/1))
% 0.37/0.58  (define @t67 () (<= 0/1 @t59))
% 0.37/0.58  (define @t68 () (>= @t23 7))
% 0.37/0.58  (define @t69 () (>= @t48 1/1))
% 0.37/0.58  (define @t70 () (not @t68))
% 0.37/0.58  (define @t71 () (not @t69))
% 0.37/0.58  (define @t72 () (+ 6 1))
% 0.37/0.58  (define @t73 () (>= @t23 @t72))
% 0.37/0.58  (define @t74 () (<= @t23 6))
% 0.37/0.58  (define @t75 () (+ 6/1 1/1 @t42))
% 0.37/0.58  (define @t76 () (>= @t49 @t75))
% 0.37/0.58  (define @t77 () (to_real 6))
% 0.37/0.58  (define @t78 () (<= @t24 @t77))
% 0.37/0.58  (define @t79 () (and @t36 @t71 @t70))
% 0.37/0.58  (define @t80 () (>= @t23 8))
% 0.37/0.58  (define @t81 () (+ 7 1))
% 0.37/0.58  (define @t82 () (>= @t23 @t81))
% 0.37/0.58  (define @t83 () (> @t23 7))
% 0.37/0.58  (define @t84 () (< @t23 7))
% 0.37/0.58  (define @t85 () (not @t83))
% 0.37/0.58  (define @t86 () (not @t84))
% 0.37/0.58  (define @t87 () (>= 36/5 @t18))
% 0.37/0.58  (define @t88 () (<= @t18 36/5))
% 0.37/0.58  (define @t89 () (* -1/1 0/1))
% 0.37/0.58  (define @t90 () (* -1 8))
% 0.37/0.58  (define @t91 () (to_real @t90))
% 0.37/0.58  (define @t92 () (+ 36/5 @t91 @t89))
% 0.37/0.58  (define @t93 () (+ @t19 @t24))
% 0.37/0.58  (define @t94 () (* -1/1 @t48))
% 0.37/0.58  (define @t95 () (+ @t18 @t45 @t94))
% 0.37/0.58  (define @t96 () (and @t25 @t80 @t21))
% 0.37/0.58  (assume @p1 @t9)
% 0.37/0.58  (assume @p2 true)
% 0.37/0.58  (step @p3 :rule aci_norm :args ((= (or (or @t14 @t13) @t11) @t15)))
% 0.37/0.58  (step @p4 :rule refl :args (@t11))
% 0.37/0.58  (step @p5 :rule bool-and-de-morgan :args (@t4 @t12 true))
% 0.37/0.58  (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t16) @t11)))
% 0.37/0.58  (step @p7 :rule trans :premises (@p6 @p3))
% 0.37/0.58  (step @p8 :rule bool-impl-elim :args (@t16 @t11))
% 0.37/0.58  (step @p9 :rule trans :premises (@p8 @p7))
% 0.37/0.58  (step @p10 :rule cong :premises (@p9) :args ((forall @t7 (=> @t16 @t11))))
% 0.37/0.58  (step @p11 :rule arith_poly_norm :args ((= (* 7/1 (- 7/1 @t1)) (* 7/1 (- @t10 -7/1)))))
% 0.37/0.58  (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= (>= 7/1 @t1) @t11)))
% 0.37/0.58  (step @p13 :rule arith-elim-leq :args (@t1 7/1))
% 0.37/0.58  (step @p14 :rule trans :premises (@p13 @p12))
% 0.37/0.58  (step @p15 :rule arith_poly_norm :args ((= (* 36/5 (- 36/5 @t1)) (* 36/5 (- @t10 -36/5)))))
% 0.37/0.58  (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 36/5 @t1) @t12)))
% 0.37/0.58  (step @p17 :rule arith-elim-leq :args (@t1 36/5))
% 0.37/0.58  (step @p18 :rule trans :premises (@p17 @p16))
% 0.37/0.58  (step @p19 :rule evaluate :args (@t2))
% 0.37/0.58  (step @p20 :rule refl :args (@t1))
% 0.37/0.58  (step @p21 :rule cong :premises (@p20 @p19) :args (@t3))
% 0.37/0.58  (step @p22 :rule trans :premises (@p21 @p18))
% 0.37/0.58  (step @p23 :rule refl :args (@t4))
% 0.37/0.58  (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t5))
% 0.37/0.58  (step @p25 :rule cong :premises (@p24 @p14) :args (@t6))
% 0.37/0.58  (step @p26 :rule cong :premises (@p25) :args (@t8))
% 0.37/0.58  (step @p27 :rule trans :premises (@p26 @p10))
% 0.37/0.58  (step @p28 :rule cong :premises (@p27) :args (@t9))
% 0.37/0.58  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.37/0.58  (step @p30 :rule refl :args (@t28))
% 0.37/0.58  (step @p31 :rule bool-double-not-elim :args (@t17))
% 0.37/0.58  (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t29) @t28)))
% 0.37/0.58  (step @p33 :rule refl :args (@t20))
% 0.37/0.58  (step @p34 :rule refl :args (@t22))
% 0.37/0.58  (step @p35 :rule arith_reduction :args (@t30))
% 0.37/0.58  (step @p36 :rule and_elim :premises (@p35) :args (0))
% 0.37/0.58  (step @p37 :rule cong :premises (@p36) :args (@t31))
% 0.37/0.58  (step @p38 :rule nary_cong :premises (@p37 @p34 @p33) :args (@t32))
% 0.37/0.58  (step @p39 :rule cong :premises (@p38) :args (@t33))
% 0.37/0.58  (step @p40 :rule refl :args (@t29))
% 0.37/0.58  (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t29 @t33)))
% 0.37/0.58  (assume-push @p334 @t29)
% 0.37/0.58  (step @p43 :rule skolemize :premises (@p29))
% 0.37/0.58  (step-pop @p335 :rule scope :premises (@p43))
% 0.37/0.58  (step @p44 :rule process_scope :premises (@p335) :args (@t33))
% 0.37/0.58  (step @p46 :rule eq_resolve :premises (@p44 @p41))
% 0.37/0.58  (step @p47 :rule implies_elim :premises (@p46))
% 0.37/0.58  (step @p48 :rule eq_resolve :premises (@p47 @p32))
% 0.37/0.58  (step @p49 :rule chain_m_resolution :premises (@p48 @p29) :args (@t28 @t34 (@list @t17)))
% 0.37/0.58  (step @p50 :rule bool-double-not-elim :args (@t25))
% 0.37/0.58  (step @p51 :rule refl :args (@t27))
% 0.37/0.58  (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t27 (not @t26))))
% 0.37/0.58  (step @p53 :rule cnf_or_neg :args (@t27 0))
% 0.37/0.58  (step @p54 :rule eq_resolve :premises (@p53 @p52))
% 0.37/0.58  (step @p55 :rule reordering :premises (@p54) :args ((or @t25 @t27)))
% 0.37/0.58  (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t25 @t34 @t35))
% 0.37/0.58  (step @p57 :rule bool-double-not-elim :args (@t21))
% 0.37/0.58  (step @p58 :rule nary_cong :premises (@p51 @p57) :args ((or @t27 (not @t22))))
% 0.37/0.58  (step @p59 :rule cnf_or_neg :args (@t27 1))
% 0.37/0.58  (step @p60 :rule eq_resolve :premises (@p59 @p58))
% 0.37/0.58  (step @p61 :rule reordering :premises (@p60) :args ((or @t21 @t27)))
% 0.37/0.58  (step @p62 :rule chain_m_resolution :premises (@p61 @p49) :args (@t21 @t34 @t35))
% 0.37/0.58  (step @p63 :rule cnf_or_neg :args (@t27 2))
% 0.37/0.58  (step @p64 :rule chain_m_resolution :premises (@p63 @p49) :args (@t36 @t34 @t35))
% 0.37/0.58  (step @p65 :rule refl :args (@t38))
% 0.37/0.58  (step @p66 :rule bool-double-not-elim :args (@t20))
% 0.37/0.58  (step @p67 :rule refl :args (@t26))
% 0.37/0.58  (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args ((or @t26 @t39 @t38)))
% 0.37/0.58  (assume-push @p336 @t36)
% 0.37/0.58  (assume-push @p337 @t25)
% 0.37/0.58  (assume-push @p338 @t37)
% 0.37/0.58  (assume-push @p339 @t37)
% 0.37/0.58  (step @p73 :rule evaluate :args (@t40))
% 0.37/0.58  (step @p74 :rule evaluate :args (@t41))
% 0.37/0.58  (step @p75 :rule evaluate :args ((+ 7/1 0/1 -7/1)))
% 0.37/0.58  (step @p76 :rule evaluate :args (@t42))
% 0.37/0.58  (step @p77 :rule refl :args (0/1))
% 0.37/0.58  (step @p78 :rule refl :args (7/1))
% 0.37/0.58  (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t43))
% 0.37/0.58  (step @p80 :rule trans :premises (@p79 @p75))
% 0.37/0.58  (step @p81 :rule arith_poly_norm :args (@t47))
% 0.37/0.58  (step @p82 :rule arith_poly_norm :args (@t50))
% 0.37/0.58  (step @p83 :rule trans :premises (@p82 @p81))
% 0.37/0.58  (step @p84 :rule cong :premises (@p83 @p80) :args (@t51))
% 0.37/0.58  (step @p85 :rule trans :premises (@p84 @p74))
% 0.37/0.58  (step @p86 :rule cong :premises (@p85) :args ((not @t51)))
% 0.37/0.58  (step @p87 :rule trans :premises (@p86 @p73))
% 0.37/0.58  (step @p88 :rule arith-elim-lt :args (@t49 @t43))
% 0.37/0.58  (step @p89 :rule trans :premises (@p88 @p87))
% 0.37/0.58  (step @p90 :rule arith_mult_neg :args (-1/1 @t52))
% 0.37/0.58  (step @p91 :rule arith_poly_norm :args (@t53))
% 0.37/0.58  (step @p92 :rule arith_poly_norm_rel :premises (@p91) :args (@t55))
% 0.37/0.58  (step @p93 :rule arith-elim-leq :args (@t18 7/1))
% 0.37/0.58  (step @p94 :rule trans :premises (@p93 @p92))
% 0.37/0.58  (step @p95 :rule cong :premises (@p94) :args (@t56))
% 0.37/0.58  (step @p96 :rule symm :premises (@p93))
% 0.37/0.58  (step @p97 :rule cong :premises (@p96) :args (@t57))
% 0.37/0.58  (step @p98 :rule arith-elim-gt :args (@t18 7/1))
% 0.37/0.58  (step @p99 :rule trans :premises (@p98 @p97))
% 0.37/0.58  (step @p100 :rule trans :premises (@p99 @p95))
% 0.37/0.58  (step @p101 :rule symm :premises (@p100))
% 0.37/0.58  (step @p102 :rule eq_resolve :premises (@p64 @p101))
% 0.37/0.58  (step @p103 :rule evaluate :args (@t58))
% 0.37/0.58  (step @p104 :rule true_elim :premises (@p103))
% 0.37/0.58  (step @p105 :rule and_intro :premises (@p104 @p102))
% 0.37/0.58  (step @p106 :rule modus_ponens :premises (@p105 @p90))
% 0.37/0.58  (step @p107 :rule arith_poly_norm :args (@t60))
% 0.37/0.58  (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args (@t62))
% 0.37/0.58  (step @p109 :rule symm :premises (@p108))
% 0.37/0.58  (step @p110 :rule eq_resolve :premises (@p56 @p109))
% 0.37/0.58  (step @p111 :rule evaluate :args ((to_real 7)))
% 0.37/0.58  (step @p112 :rule cong :premises (@p338) :args (@t24))
% 0.37/0.58  (step @p113 :rule trans :premises (@p112 @p111))
% 0.37/0.58  (step @p114 :rule arith_sum_ub :premises (@p113 @p110 @p106))
% 0.37/0.58  (step @p115 false :rule eq_resolve :premises (@p114 @p89))
% 0.37/0.58  (step-pop @p340 :rule scope :premises (@p115))
% 0.37/0.58  (step @p116 :rule process_scope :premises (@p340) :args (false))
% 0.37/0.58  (step @p118 false :rule contra :premises (@p338 @p116))
% 0.37/0.58  (step-pop @p341 :rule scope :premises (@p118))
% 0.37/0.58  (step-pop @p342 :rule scope :premises (@p341))
% 0.37/0.58  (step-pop @p343 :rule scope :premises (@p342))
% 0.37/0.58  (step @p119 :rule process_scope :premises (@p343) :args (false))
% 0.37/0.58  (assume-push @p344 @t25)
% 0.37/0.58  (assume-push @p345 @t36)
% 0.37/0.58  (assume-push @p346 @t37)
% 0.37/0.58  (step @p126 :rule and_intro :premises (@p64 @p56 @p346))
% 0.37/0.58  (step-pop @p347 :rule scope :premises (@p126))
% 0.37/0.58  (step-pop @p348 :rule scope :premises (@p347))
% 0.37/0.58  (step-pop @p349 :rule scope :premises (@p348))
% 0.37/0.58  (step @p127 :rule process_scope :premises (@p349) :args (@t63))
% 0.37/0.58  (step @p131 :rule implies_elim :premises (@p127))
% 0.37/0.58  (step @p132 :rule resolution :premises (@p131 @p119) :args (true @t63))
% 0.37/0.58  (step @p133 :rule not_and :premises (@p132))
% 0.37/0.58  (step @p134 :rule eq_resolve :premises (@p133 @p68))
% 0.37/0.58  (step @p135 :rule reordering :premises (@p134) :args ((or @t20 @t26 @t38)))
% 0.37/0.58  (step @p136 :rule chain_m_resolution :premises (@p135 @p64 @p56) :args (@t38 (@list true false) (@list @t20 @t25)))
% 0.37/0.58  (step @p137 :rule refl :args (1/1))
% 0.37/0.58  (step @p138 :rule arith_poly_norm :args ((= @t64 @t45)))
% 0.37/0.58  (step @p139 :rule refl :args (@t18))
% 0.37/0.58  (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t65))
% 0.37/0.58  (step @p141 :rule arith_poly_norm :args ((= @t59 @t65)))
% 0.37/0.58  (step @p142 :rule trans :premises (@p141 @p140))
% 0.37/0.58  (step @p143 :rule cong :premises (@p142 @p137) :args (@t66))
% 0.37/0.58  (step @p144 :rule cong :premises (@p143) :args ((not @t66)))
% 0.37/0.58  (step @p145 :rule arith-elim-lt :args (@t59 1/1))
% 0.37/0.58  (step @p146 :rule trans :premises (@p145 @p144))
% 0.37/0.58  (step @p147 :rule arith-elim-leq :args (0/1 @t48))
% 0.37/0.58  (step @p77 :rule refl :args (0/1))
% 0.37/0.58  (step @p148 :rule cong :premises (@p77 @p142) :args (@t67))
% 0.37/0.58  (step @p149 :rule trans :premises (@p148 @p147))
% 0.37/0.58  (step @p150 :rule nary_cong :premises (@p149 @p146) :args ((and @t67 (< @t59 1/1))))
% 0.37/0.58  (step @p151 :rule and_elim :premises (@p35) :args (1))
% 0.37/0.58  (step @p152 :rule eq_resolve :premises (@p151 @p150))
% 0.37/0.58  (step @p153 :rule and_elim :premises (@p152) :args (1))
% 0.37/0.58  (step @p154 :rule bool-double-not-elim :args (@t68))
% 0.37/0.58  (step @p155 :rule bool-double-not-elim :args (@t69))
% 0.37/0.58  (step @p156 :rule nary_cong :premises (@p155 @p66 @p154) :args ((or (not @t71) @t39 (not @t70))))
% 0.37/0.58  (assume-push @p350 @t36)
% 0.37/0.58  (assume-push @p351 @t71)
% 0.37/0.58  (assume-push @p352 @t70)
% 0.37/0.58  (step @p160 :rule arith-elim-leq :args (@t23 6))
% 0.37/0.58  (step @p161 :rule symm :premises (@p160))
% 0.37/0.58  (step @p162 :rule cong :premises (@p161) :args ((not (>= 6 @t23))))
% 0.37/0.58  (step @p163 :rule arith-elim-gt :args (@t23 6))
% 0.37/0.58  (step @p164 :rule trans :premises (@p163 @p162))
% 0.37/0.58  (step @p165 :rule evaluate :args (@t72))
% 0.37/0.58  (step @p166 :rule refl :args (@t23))
% 0.37/0.58  (step @p167 :rule cong :premises (@p166 @p165) :args (@t73))
% 0.37/0.58  (step @p168 :rule cong :premises (@p167) :args ((not @t73)))
% 0.37/0.58  (step @p169 :rule arith-leq-norm :args (@t23 6))
% 0.37/0.58  (step @p170 :rule trans :premises (@p169 @p168))
% 0.37/0.58  (step @p171 :rule cong :premises (@p170) :args ((not @t74)))
% 0.37/0.58  (step @p172 :rule trans :premises (@p171 @p154))
% 0.37/0.58  (step @p173 :rule trans :premises (@p164 @p172))
% 0.37/0.58  (step @p174 :rule symm :premises (@p173))
% 0.37/0.58  (step @p175 :rule trans :premises (@p172 @p174))
% 0.37/0.58  (assume-push @p353 @t74)
% 0.37/0.58  (step @p73 :rule evaluate :args (@t40))
% 0.37/0.58  (step @p74 :rule evaluate :args (@t41))
% 0.37/0.58  (step @p177 :rule evaluate :args ((+ 6/1 1/1 -7/1)))
% 0.37/0.58  (step @p76 :rule evaluate :args (@t42))
% 0.37/0.58  (step @p178 :rule refl :args (6/1))
% 0.37/0.58  (step @p179 :rule nary_cong :premises (@p178 @p137 @p76) :args (@t75))
% 0.37/0.58  (step @p180 :rule trans :premises (@p179 @p177))
% 0.37/0.58  (step @p81 :rule arith_poly_norm :args (@t47))
% 0.37/0.58  (step @p82 :rule arith_poly_norm :args (@t50))
% 0.37/0.58  (step @p83 :rule trans :premises (@p82 @p81))
% 0.37/0.58  (step @p181 :rule cong :premises (@p83 @p180) :args (@t76))
% 0.37/0.58  (step @p182 :rule trans :premises (@p181 @p74))
% 0.37/0.58  (step @p183 :rule cong :premises (@p182) :args ((not @t76)))
% 0.37/0.58  (step @p184 :rule trans :premises (@p183 @p73))
% 0.37/0.58  (step @p185 :rule arith-elim-lt :args (@t49 @t75))
% 0.37/0.58  (step @p186 :rule trans :premises (@p185 @p184))
% 0.37/0.58  (step @p90 :rule arith_mult_neg :args (-1/1 @t52))
% 0.37/0.58  (step @p91 :rule arith_poly_norm :args (@t53))
% 0.37/0.58  (step @p92 :rule arith_poly_norm_rel :premises (@p91) :args (@t55))
% 0.37/0.58  (step @p93 :rule arith-elim-leq :args (@t18 7/1))
% 0.37/0.58  (step @p94 :rule trans :premises (@p93 @p92))
% 0.37/0.58  (step @p95 :rule cong :premises (@p94) :args (@t56))
% 0.37/0.58  (step @p96 :rule symm :premises (@p93))
% 0.37/0.58  (step @p97 :rule cong :premises (@p96) :args (@t57))
% 0.37/0.58  (step @p98 :rule arith-elim-gt :args (@t18 7/1))
% 0.37/0.58  (step @p99 :rule trans :premises (@p98 @p97))
% 0.37/0.58  (step @p100 :rule trans :premises (@p99 @p95))
% 0.37/0.58  (step @p101 :rule symm :premises (@p100))
% 0.37/0.58  (step @p102 :rule eq_resolve :premises (@p64 @p101))
% 0.37/0.58  (step @p103 :rule evaluate :args (@t58))
% 0.37/0.58  (step @p104 :rule true_elim :premises (@p103))
% 0.37/0.58  (step @p105 :rule and_intro :premises (@p104 @p102))
% 0.37/0.58  (step @p106 :rule modus_ponens :premises (@p105 @p90))
% 0.37/0.58  (step @p187 :rule arith-elim-lt :args (@t48 1/1))
% 0.37/0.58  (step @p188 :rule symm :premises (@p187))
% 0.37/0.58  (step @p189 :rule eq_resolve :premises (@p153 @p188))
% 0.37/0.58  (step @p190 :rule evaluate :args (@t77))
% 0.37/0.58  (step @p191 :rule refl :args (@t24))
% 0.37/0.58  (step @p192 :rule cong :premises (@p191 @p190) :args (@t78))
% 0.37/0.58  (step @p193 :rule arith_poly_norm :args ((= (* -6/1 (to_real (- @t23 6))) (* -6/1 (- @t24 @t77)))))
% 0.37/0.58  (step @p194 :rule arith_poly_norm_rel :premises (@p193) :args ((= @t74 @t78)))
% 0.37/0.58  (step @p195 :rule trans :premises (@p194 @p192))
% 0.37/0.58  (step @p196 :rule eq_resolve :premises (@p353 @p195))
% 0.37/0.58  (step @p197 :rule arith_sum_ub :premises (@p196 @p189 @p106))
% 0.37/0.58  (step @p198 false :rule eq_resolve :premises (@p197 @p186))
% 0.37/0.58  (step-pop @p354 :rule scope :premises (@p198))
% 0.37/0.58  (step @p199 :rule process_scope :premises (@p354) :args (false))
% 0.37/0.58  (step @p201 :rule eq_resolve :premises (@p199 @p175))
% 0.37/0.58  (step @p202 :rule eq_resolve :premises (@p201 @p164))
% 0.37/0.58  (step @p203 :rule arith-elim-lt :args (@t23 7))
% 0.37/0.58  (step @p204 :rule symm :premises (@p203))
% 0.37/0.58  (step @p205 :rule eq_resolve :premises (@p352 @p204))
% 0.37/0.58  (step @p206 :rule int_tight_ub :premises (@p205))
% 0.37/0.58  (step @p207 false :rule contra :premises (@p206 @p202))
% 0.37/0.58  (step-pop @p355 :rule scope :premises (@p207))
% 0.37/0.58  (step-pop @p356 :rule scope :premises (@p355))
% 0.37/0.58  (step-pop @p357 :rule scope :premises (@p356))
% 0.37/0.58  (step @p208 :rule process_scope :premises (@p357) :args (false))
% 0.37/0.58  (assume-push @p358 @t71)
% 0.37/0.58  (assume-push @p359 @t36)
% 0.37/0.58  (assume-push @p360 @t70)
% 0.37/0.58  (step @p215 :rule and_intro :premises (@p64 @p153 @p360))
% 0.37/0.58  (step-pop @p361 :rule scope :premises (@p215))
% 0.37/0.58  (step-pop @p362 :rule scope :premises (@p361))
% 0.37/0.58  (step-pop @p363 :rule scope :premises (@p362))
% 0.37/0.58  (step @p216 :rule process_scope :premises (@p363) :args (@t79))
% 0.37/0.58  (step @p220 :rule implies_elim :premises (@p216))
% 0.37/0.58  (step @p221 :rule resolution :premises (@p220 @p208) :args (true @t79))
% 0.37/0.58  (step @p222 :rule not_and :premises (@p221))
% 0.37/0.58  (step @p223 :rule eq_resolve :premises (@p222 @p156))
% 0.37/0.58  (step @p224 :rule reordering :premises (@p223) :args ((or @t20 @t69 @t68)))
% 0.37/0.58  (step @p225 :rule chain_m_resolution :premises (@p224 @p64 @p153) :args (@t68 (@list true true) (@list @t20 @t69)))
% 0.37/0.58  (step @p226 :rule aci_norm :args ((= (or @t37 (or @t70 @t80)) (or @t37 @t70 @t80))))
% 0.37/0.58  (step @p227 :rule symm :premises (@p226))
% 0.37/0.58  (step @p228 :rule bool-double-not-elim :args (@t80))
% 0.37/0.58  (step @p229 :rule evaluate :args (@t81))
% 0.37/0.58  (step @p166 :rule refl :args (@t23))
% 0.37/0.58  (step @p230 :rule cong :premises (@p166 @p229) :args (@t82))
% 0.37/0.58  (step @p231 :rule cong :premises (@p230) :args ((not @t82)))
% 0.37/0.58  (step @p232 :rule arith-leq-norm :args (@t23 7))
% 0.37/0.58  (step @p233 :rule trans :premises (@p232 @p231))
% 0.37/0.58  (step @p234 :rule cong :premises (@p233) :args ((not (<= @t23 7))))
% 0.37/0.58  (step @p235 :rule trans :premises (@p234 @p228))
% 0.37/0.58  (step @p236 :rule arith-elim-leq :args (@t23 7))
% 0.37/0.58  (step @p237 :rule symm :premises (@p236))
% 0.37/0.58  (step @p238 :rule cong :premises (@p237) :args ((not (>= 7 @t23))))
% 0.37/0.58  (step @p239 :rule arith-elim-gt :args (@t23 7))
% 0.37/0.58  (step @p240 :rule trans :premises (@p239 @p238))
% 0.37/0.58  (step @p241 :rule trans :premises (@p240 @p235))
% 0.37/0.58  (step @p242 :rule bool-double-not-elim :args (@t83))
% 0.37/0.58  (step @p243 :rule trans :premises (@p242 @p241))
% 0.37/0.58  (step @p203 :rule arith-elim-lt :args (@t23 7))
% 0.37/0.58  (step @p244 :rule bool-double-not-elim :args (@t84))
% 0.37/0.58  (step @p245 :rule trans :premises (@p244 @p203))
% 0.37/0.58  (step @p246 :rule bool-double-not-elim :args (@t37))
% 0.37/0.58  (step @p247 :rule nary_cong :premises (@p246 @p245 @p243) :args ((or (not @t38) (not @t86) (not @t85))))
% 0.37/0.58  (step @p248 :rule trans :premises (@p247 @p227))
% 0.37/0.58  (assume-push @p364 @t38)
% 0.37/0.58  (assume-push @p365 @t86)
% 0.37/0.58  (assume-push @p366 @t85)
% 0.37/0.58  (step @p252 :rule arith_trichotomy :premises (@p365 @p364))
% 0.37/0.58  (step @p253 false :rule contra :premises (@p252 @p366))
% 0.37/0.58  (step-pop @p367 :rule scope :premises (@p253))
% 0.37/0.58  (step-pop @p368 :rule scope :premises (@p367))
% 0.37/0.58  (step-pop @p369 :rule scope :premises (@p368))
% 0.37/0.58  (step @p254 :rule process_scope :premises (@p369) :args (false))
% 0.37/0.58  (step @p258 :rule not_and :premises (@p254))
% 0.37/0.58  (step @p259 :rule eq_resolve :premises (@p258 @p248))
% 0.37/0.58  (step @p260 :rule eq_resolve :premises (@p259 @p226))
% 0.37/0.58  (step @p261 :rule reordering :premises (@p260) :args ((or @t70 @t80 @t37)))
% 0.37/0.58  (step @p262 :rule chain_m_resolution :premises (@p261 @p225 @p136) :args (@t80 (@list false true) (@list @t68 @t37)))
% 0.37/0.58  (assume-push @p370 @t25)
% 0.37/0.58  (assume-push @p371 @t80)
% 0.37/0.58  (assume-push @p372 @t21)
% 0.37/0.58  (step @p266 :rule arith-elim-leq :args (@t18 36/5))
% 0.37/0.58  (step @p267 :rule symm :premises (@p266))
% 0.37/0.58  (step @p268 :rule cong :premises (@p267) :args ((not @t87)))
% 0.37/0.58  (step @p269 :rule arith-elim-gt :args (@t18 36/5))
% 0.37/0.58  (step @p270 :rule trans :premises (@p269 @p268))
% 0.37/0.58  (step @p271 :rule arith_poly_norm :args ((= (* 36/5 (- 36/5 @t18)) (* 36/5 (- @t19 -36/5)))))
% 0.37/0.58  (step @p272 :rule arith_poly_norm_rel :premises (@p271) :args ((= @t87 @t21)))
% 0.37/0.58  (step @p273 :rule trans :premises (@p266 @p272))
% 0.37/0.58  (step @p274 :rule cong :premises (@p273) :args ((not @t88)))
% 0.37/0.58  (step @p275 :rule trans :premises (@p270 @p274))
% 0.37/0.58  (step @p276 :rule symm :premises (@p275))
% 0.37/0.58  (step @p277 :rule trans :premises (@p274 @p276))
% 0.37/0.58  (assume-push @p373 @t88)
% 0.37/0.58  (step @p279 :rule evaluate :args ((<= 0/1 -4/5)))
% 0.37/0.58  (step @p280 :rule evaluate :args ((+ 36/5 -8/1 0/1)))
% 0.37/0.58  (step @p281 :rule evaluate :args (@t89))
% 0.37/0.58  (step @p282 :rule evaluate :args ((to_real -8)))
% 0.37/0.58  (step @p283 :rule evaluate :args (@t90))
% 0.37/0.58  (step @p284 :rule cong :premises (@p283) :args (@t91))
% 0.37/0.58  (step @p285 :rule trans :premises (@p284 @p282))
% 0.37/0.58  (step @p286 :rule refl :args (36/5))
% 0.37/0.58  (step @p287 :rule nary_cong :premises (@p286 @p285 @p281) :args (@t92))
% 0.37/0.58  (step @p288 :rule trans :premises (@p287 @p280))
% 0.37/0.58  (step @p289 :rule arith_poly_norm :args ((= (+ @t18 @t45 @t93) 0/1)))
% 0.37/0.58  (step @p290 :rule arith_poly_norm :args ((= @t94 @t93)))
% 0.37/0.58  (step @p291 :rule refl :args (@t45))
% 0.37/0.58  (step @p292 :rule nary_cong :premises (@p139 @p291 @p290) :args (@t95))
% 0.37/0.58  (step @p293 :rule trans :premises (@p292 @p289))
% 0.37/0.58  (step @p294 :rule cong :premises (@p293 @p288) :args ((<= @t95 @t92)))
% 0.37/0.58  (step @p295 :rule trans :premises (@p294 @p279))
% 0.37/0.58  (step @p296 :rule arith_mult_neg :args (-1/1 @t61))
% 0.37/0.58  (step @p107 :rule arith_poly_norm :args (@t60))
% 0.37/0.58  (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args (@t62))
% 0.37/0.58  (step @p109 :rule symm :premises (@p108))
% 0.37/0.58  (step @p110 :rule eq_resolve :premises (@p56 @p109))
% 0.37/0.58  (step @p103 :rule evaluate :args (@t58))
% 0.37/0.58  (step @p104 :rule true_elim :premises (@p103))
% 0.37/0.58  (step @p297 :rule and_intro :premises (@p104 @p110))
% 0.37/0.58  (step @p298 :rule modus_ponens :premises (@p297 @p296))
% 0.37/0.58  (step @p299 :rule arith_poly_norm :args ((= (* 8/1 (to_real (- @t44 @t90))) (* 8/1 (- @t45 @t91)))))
% 0.37/0.58  (step @p300 :rule arith_poly_norm_rel :premises (@p299) :args ((= (<= @t44 @t90) (<= @t45 @t91))))
% 0.37/0.58  (step @p301 :rule arith_mult_neg :args (-1 @t80))
% 0.37/0.58  (step @p302 :rule evaluate :args ((< -1 0)))
% 0.37/0.58  (step @p303 :rule true_elim :premises (@p302))
% 0.37/0.58  (step @p304 :rule and_intro :premises (@p303 @p371))
% 0.37/0.58  (step @p305 :rule modus_ponens :premises (@p304 @p301))
% 0.37/0.58  (step @p306 :rule eq_resolve :premises (@p305 @p300))
% 0.37/0.58  (step @p307 :rule symm :premises (@p273))
% 0.37/0.58  (step @p308 :rule chain_m_resolution :premises (@p61 @p49) :args (@t21 @t34 @t35))
% 0.37/0.58  (step @p309 :rule eq_resolve :premises (@p308 @p307))
% 0.37/0.58  (step @p310 :rule arith_sum_ub :premises (@p309 @p306 @p298))
% 0.37/0.58  (step @p311 false :rule eq_resolve :premises (@p310 @p295))
% 0.37/0.58  (step-pop @p374 :rule scope :premises (@p311))
% 0.37/0.58  (step @p312 :rule process_scope :premises (@p374) :args (false))
% 0.37/0.58  (step @p314 :rule eq_resolve :premises (@p312 @p277))
% 0.37/0.58  (step @p315 :rule eq_resolve :premises (@p314 @p270))
% 0.37/0.58  (step @p307 :rule symm :premises (@p273))
% 0.37/0.58  (step @p316 :rule eq_resolve :premises (@p62 @p307))
% 0.37/0.58  (step @p317 false :rule contra :premises (@p316 @p315))
% 0.37/0.58  (step-pop @p375 :rule scope :premises (@p317))
% 0.37/0.58  (step-pop @p376 :rule scope :premises (@p375))
% 0.37/0.58  (step-pop @p377 :rule scope :premises (@p376))
% 0.37/0.58  (step @p318 :rule process_scope :premises (@p377) :args (false))
% 0.37/0.58  (assume-push @p378 @t21)
% 0.37/0.58  (assume-push @p379 @t25)
% 0.37/0.58  (assume-push @p380 @t80)
% 0.37/0.58  (step @p325 :rule and_intro :premises (@p56 @p380 @p62))
% 0.37/0.58  (step-pop @p381 :rule scope :premises (@p325))
% 0.37/0.58  (step-pop @p382 :rule scope :premises (@p381))
% 0.37/0.58  (step-pop @p383 :rule scope :premises (@p382))
% 0.37/0.58  (step @p326 :rule process_scope :premises (@p383) :args (@t96))
% 0.37/0.58  (step @p330 :rule implies_elim :premises (@p326))
% 0.37/0.58  (step @p331 :rule resolution :premises (@p330 @p318) :args (true @t96))
% 0.37/0.58  (step @p332 :rule not_and :premises (@p331))
% 0.37/0.58  (step @p333 false :rule chain_m_resolution :premises (@p332 @p262 @p62 @p56) :args (false (@list false false false) (@list @t80 @t21 @t25)))
% 0.37/0.58  )
% 0.37/0.58  % SZS output end Proof
% 0.37/0.58  % cvc5 exiting
%------------------------------------------------------------------------------