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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT074_1 : TPTP v9.2.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:14:28 AM UTC 2026

% Result   : Theorem 160.60s 160.94s
% Output   : Proof 160.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : DAT074_1 : TPTP v9.2.1. Released v6.1.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.25  % Computer : n012.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Mon Jun  1 22:27:48 EDT 2026
% 0.06/0.25  % CPUTime  : 
% 0.16/0.33  %----Proving TF0_ARI
% 160.60/160.94  --- Run --finite-model-find --decision=internal at 45...
% 160.60/160.94  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 160.60/160.94  --- Run --no-e-matching --full-saturate-quant at 45...
% 160.60/160.94  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45...
% 160.60/160.94  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 45...
% 160.60/160.94  % SZS status Theorem
% 160.60/160.94  % SZS output start Proof
% 160.60/160.94  (
% 160.60/160.94  (declare-sort tptp.array 0)
% 160.60/160.94  (declare-const tptp.rev (-> tptp.array Int tptp.array))
% 160.60/160.94  (declare-const tptp.inRange (-> tptp.array Int Int Bool))
% 160.60/160.94  (declare-const tptp.distinct (-> tptp.array Int Bool))
% 160.60/160.94  (declare-const tptp.sorted (-> tptp.array Int Bool))
% 160.60/160.94  (declare-const tptp.max (-> tptp.array Int Int))
% 160.60/160.94  (declare-const tptp.init (-> Int tptp.array))
% 160.60/160.94  (declare-const tptp.read (-> tptp.array Int Int))
% 160.60/160.94  (declare-const tptp.write (-> tptp.array Int Int tptp.array))
% 160.60/160.94  (define @t1 () (@var "V" Int))
% 160.60/160.94  (define @t2 () (@var "I" Int))
% 160.60/160.94  (define @t3 () (@var "A" tptp.array))
% 160.60/160.94  (define @t4 () (tptp.write @t3 @t2 @t1))
% 160.60/160.94  (define @t5 () (tptp.read @t4 @t2))
% 160.60/160.94  (define @t6 () (= @t5 @t1))
% 160.60/160.94  (define @t7 () (@list @t3 @t2 @t1))
% 160.60/160.94  (define @t8 () (forall @t7 @t6))
% 160.60/160.94  (define @t9 () (@var "J" Int))
% 160.60/160.94  (define @t10 () (tptp.read @t3 @t9))
% 160.60/160.94  (define @t11 () (= @t2 @t9))
% 160.60/160.94  (define @t12 () (@var "B" tptp.array))
% 160.60/160.94  (define @t13 () (tptp.read @t12 @t2))
% 160.60/160.94  (define @t14 () (tptp.read @t3 @t2))
% 160.60/160.94  (define @t15 () (@list @t2))
% 160.60/160.94  (define @t16 () (tptp.read (tptp.init @t1) @t2))
% 160.60/160.94  (define @t17 () (= @t16 @t1))
% 160.60/160.94  (define @t18 () (forall (@list @t1 @t2) @t17))
% 160.60/160.94  (define @t19 () (@var "W" Int))
% 160.60/160.94  (define @t20 () (@var "N" Int))
% 160.60/160.94  (define @t21 () (>= @t2 0))
% 160.60/160.94  (define @t22 () (> @t20 @t2))
% 160.60/160.94  (define @t23 () (and @t22 @t21))
% 160.60/160.94  (define @t24 () (@list @t2 @t9))
% 160.60/160.94  (define @t25 () (@list @t3 @t20))
% 160.60/160.94  (define @t26 () (@var "R" Int))
% 160.60/160.94  (define @t27 () (= @t14 @t10))
% 160.60/160.94  (define @t28 () (=> @t27 @t11))
% 160.60/160.94  (define @t29 () (>= @t9 0))
% 160.60/160.94  (define @t30 () (and @t22 (> @t20 @t9) @t29 @t21))
% 160.60/160.94  (define @t31 () (=> @t30 @t28))
% 160.60/160.94  (define @t32 () (forall @t24 @t31))
% 160.60/160.94  (define @t33 () (tptp.distinct @t3 @t20))
% 160.60/160.94  (define @t34 () (= @t33 @t32))
% 160.60/160.94  (define @t35 () (forall @t25 @t34))
% 160.60/160.94  (define @t36 () (>= @t2 @t20))
% 160.60/160.94  (define @t37 () (forall (@list @t20 @t2) (tptp.distinct (tptp.init @t20) @t2)))
% 160.60/160.94  (define @t38 () (= @t10 @t14))
% 160.60/160.94  (define @t39 () (not @t38))
% 160.60/160.94  (define @t40 () (not @t21))
% 160.60/160.94  (define @t41 () (not @t29))
% 160.60/160.94  (define @t42 () (* -1 @t20))
% 160.60/160.94  (define @t43 () (+ @t9 @t42))
% 160.60/160.94  (define @t44 () (>= @t43 0))
% 160.60/160.94  (define @t45 () (+ @t2 @t42))
% 160.60/160.94  (define @t46 () (>= @t45 0))
% 160.60/160.94  (define @t47 () (or @t46 @t44 @t41 @t40 @t39 @t11))
% 160.60/160.94  (define @t48 () (not @t44))
% 160.60/160.94  (define @t49 () (not @t48))
% 160.60/160.94  (define @t50 () (not @t46))
% 160.60/160.94  (define @t51 () (not @t50))
% 160.60/160.94  (define @t52 () (or @t51 @t49 @t41 @t40))
% 160.60/160.94  (define @t53 () (=> @t38 @t11))
% 160.60/160.94  (define @t54 () (and @t50 @t48 @t29 @t21))
% 160.60/160.94  (define @t55 () (>= @t9 @t20))
% 160.60/160.94  (define @t56 () (tptp.init 1))
% 160.60/160.94  (define @t57 () (tptp.read @t56 @t9))
% 160.60/160.94  (define @t58 () (tptp.read @t56 @t2))
% 160.60/160.94  (define @t59 () (= @t58 @t57))
% 160.60/160.94  (define @t60 () (= @t57 @t58))
% 160.60/160.94  (define @t61 () (not @t60))
% 160.60/160.94  (define @t62 () (+ -3 @t9))
% 160.60/160.94  (define @t63 () (>= @t9 3))
% 160.60/160.94  (define @t64 () (+ 1 (+ 1 1)))
% 160.60/160.94  (define @t65 () (* -1 @t64))
% 160.60/160.94  (define @t66 () (+ @t9 @t65))
% 160.60/160.94  (define @t67 () (>= @t66 0))
% 160.60/160.94  (define @t68 () (+ -3 @t2))
% 160.60/160.94  (define @t69 () (>= @t2 3))
% 160.60/160.94  (define @t70 () (+ @t2 @t65))
% 160.60/160.94  (define @t71 () (>= @t70 0))
% 160.60/160.94  (define @t72 () (or @t71 @t67 @t41 @t40 @t61 @t11))
% 160.60/160.94  (define @t73 () (forall @t24 @t72))
% 160.60/160.94  (define @t74 () (tptp.distinct @t56 @t64))
% 160.60/160.94  (define @t75 () (= @t74 @t73))
% 160.60/160.94  (define @t76 () (forall @t25 (= @t33 (forall @t24 @t47))))
% 160.60/160.94  (define @t77 () (forall @t24 (or @t69 @t63 @t41 @t40 (not @t59) @t11)))
% 160.60/160.94  (define @t78 () (tptp.distinct @t56 3))
% 160.60/160.94  (define @t79 () (= @t78 @t77))
% 160.60/160.94  (define @t80 () (@list false))
% 160.60/160.94  (define @t81 () (not (= (tptp.read @t56 0) (tptp.read @t56 2))))
% 160.60/160.94  (define @t82 () (= 0 2))
% 160.60/160.94  (define @t83 () (>= 0 0))
% 160.60/160.94  (define @t84 () (not @t83))
% 160.60/160.94  (define @t85 () (>= 2 0))
% 160.60/160.94  (define @t86 () (not @t85))
% 160.60/160.94  (define @t87 () (>= 2 3))
% 160.60/160.94  (define @t88 () (>= 0 3))
% 160.60/160.94  (define @t89 () (or @t88 @t87 @t86 @t84 @t81 @t82))
% 160.60/160.94  (define @t90 () (= @t1 @t5))
% 160.60/160.94  (define @t91 () (@const 0 tptp.array))
% 160.60/160.94  (define @t92 () (tptp.read (tptp.write @t91 0 1) 0))
% 160.60/160.94  (define @t93 () (= @t92 1))
% 160.60/160.94  (define @t94 () (= 1 @t92))
% 160.60/160.94  (define @t95 () (forall @t7 @t90))
% 160.60/160.94  (assume @p1 @t8)
% 160.60/160.94  (assume @p2 (forall (@list @t3 @t2 @t9 @t1) (or @t11 (= (tptp.read @t4 @t9) @t10))))
% 160.60/160.94  (assume @p3 (forall (@list @t3 @t12) (=> (forall @t15 (= @t14 @t13)) (= @t3 @t12))))
% 160.60/160.94  (assume @p4 @t18)
% 160.60/160.94  (assume @p5 (forall (@list @t3 @t20 @t19) (=> (and (forall @t15 (=> @t23 (<= @t14 @t19))) (exists @t15 (and @t22 @t21 (= @t14 @t19)))) (= (tptp.max @t3 @t20) @t19))))
% 160.60/160.94  (assume @p6 (forall @t25 (= (tptp.sorted @t3 @t20) (forall @t24 (=> (and (<= 0 @t2) (< @t2 @t20) (< @t2 @t9) (< @t9 @t20)) (<= @t14 @t10))))))
% 160.60/160.94  (assume @p7 (forall (@list @t3 @t26 @t20) (= (tptp.inRange @t3 @t26 @t20) (forall @t15 (=> @t23 (and (>= @t26 @t14) (>= @t14 0)))))))
% 160.60/160.94  (assume @p8 @t35)
% 160.60/160.94  (assume @p9 (forall (@list @t3 @t12 @t20) (=> (forall @t15 (or (and @t21 @t22 (= @t13 (tptp.read @t3 (- @t20 (+ @t2 1))))) (and (or (> 0 @t2) @t36) (= @t13 @t14)))) (= (tptp.rev @t3 @t20) @t12))))
% 160.60/160.94  (assume @p10 (not (not @t37)))
% 160.60/160.94  (assume @p11 true)
% 160.60/160.94  (step @p12 :rule evaluate :args ((= true false)))
% 160.60/160.94  (step @p13 :rule aci_norm :args ((= (or (or @t46 @t44 @t41 @t40) (or @t39 @t11)) @t47)))
% 160.60/160.94  (step @p14 :rule bool-impl-elim :args (@t38 @t11))
% 160.60/160.94  (step @p15 :rule refl :args (@t40))
% 160.60/160.94  (step @p16 :rule refl :args (@t41))
% 160.60/160.94  (step @p17 :rule bool-double-not-elim :args (@t44))
% 160.60/160.94  (step @p18 :rule bool-double-not-elim :args (@t46))
% 160.60/160.94  (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15) :args (@t52))
% 160.60/160.94  (step @p20 :rule aci_norm :args ((= (or @t51 (or @t49 (or @t41 @t40))) @t52)))
% 160.60/160.94  (step @p21 :rule trans :premises (@p20 @p19))
% 160.60/160.94  (step @p22 :rule bool-and-de-morgan :args (@t29 @t21 true))
% 160.60/160.94  (step @p23 :rule refl :args (@t49))
% 160.60/160.94  (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t49 (not (and @t29 @t21)))))
% 160.60/160.94  (step @p25 :rule bool-and-de-morgan :args (@t48 @t29 (and @t21)))
% 160.60/160.94  (step @p26 :rule trans :premises (@p25 @p24))
% 160.60/160.94  (step @p27 :rule refl :args (@t51))
% 160.60/160.94  (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t51 (not (and @t48 @t29 @t21)))))
% 160.60/160.94  (step @p29 :rule bool-and-de-morgan :args (@t50 @t48 (and @t29 @t21)))
% 160.60/160.94  (step @p30 :rule trans :premises (@p29 @p28))
% 160.60/160.94  (step @p31 :rule trans :premises (@p30 @p21))
% 160.60/160.94  (step @p32 :rule nary_cong :premises (@p31 @p14) :args ((or (not @t54) @t53)))
% 160.60/160.94  (step @p33 :rule trans :premises (@p32 @p13))
% 160.60/160.94  (step @p34 :rule bool-impl-elim :args (@t54 @t53))
% 160.60/160.94  (step @p35 :rule trans :premises (@p34 @p33))
% 160.60/160.94  (step @p36 :rule cong :premises (@p35) :args ((forall @t24 (=> @t54 @t53))))
% 160.60/160.94  (step @p37 :rule refl :args (@t11))
% 160.60/160.94  (step @p38 :rule arith_poly_norm :args ((= (* 1 (- @t14 @t10)) (* -1 (- @t10 @t14)))))
% 160.60/160.94  (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t27 @t38)))
% 160.60/160.94  (step @p40 :rule cong :premises (@p39 @p37) :args (@t28))
% 160.60/160.94  (step @p41 :rule refl :args (@t21))
% 160.60/160.94  (step @p42 :rule refl :args (@t29))
% 160.60/160.94  (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t9 @t20)) (* 1 (- @t43 0)))))
% 160.60/160.94  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t55 @t44)))
% 160.60/160.94  (step @p45 :rule arith-elim-leq :args (@t20 @t9))
% 160.60/160.94  (step @p46 :rule trans :premises (@p45 @p44))
% 160.60/160.94  (step @p47 :rule cong :premises (@p46) :args ((not (<= @t20 @t9))))
% 160.60/160.94  (step @p48 :rule symm :premises (@p45))
% 160.60/160.94  (step @p49 :rule cong :premises (@p48) :args ((not @t55)))
% 160.60/160.94  (step @p50 :rule arith-elim-gt :args (@t20 @t9))
% 160.60/160.94  (step @p51 :rule trans :premises (@p50 @p49))
% 160.60/160.94  (step @p52 :rule trans :premises (@p51 @p47))
% 160.60/160.94  (step @p53 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t20)) (* 1 (- @t45 0)))))
% 160.60/160.94  (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= @t36 @t46)))
% 160.60/160.94  (step @p55 :rule arith-elim-leq :args (@t20 @t2))
% 160.60/160.94  (step @p56 :rule trans :premises (@p55 @p54))
% 160.60/160.94  (step @p57 :rule cong :premises (@p56) :args ((not (<= @t20 @t2))))
% 160.60/160.94  (step @p58 :rule symm :premises (@p55))
% 160.60/160.94  (step @p59 :rule cong :premises (@p58) :args ((not @t36)))
% 160.60/160.94  (step @p60 :rule arith-elim-gt :args (@t20 @t2))
% 160.60/160.94  (step @p61 :rule trans :premises (@p60 @p59))
% 160.60/160.94  (step @p62 :rule trans :premises (@p61 @p57))
% 160.60/160.94  (step @p63 :rule nary_cong :premises (@p62 @p52 @p42 @p41) :args (@t30))
% 160.60/160.94  (step @p64 :rule cong :premises (@p63 @p40) :args (@t31))
% 160.60/160.94  (step @p65 :rule cong :premises (@p64) :args (@t32))
% 160.60/160.94  (step @p66 :rule trans :premises (@p65 @p36))
% 160.60/160.94  (step @p67 :rule refl :args (@t33))
% 160.60/160.94  (step @p68 :rule cong :premises (@p67 @p66) :args (@t34))
% 160.60/160.94  (step @p69 :rule cong :premises (@p68) :args (@t35))
% 160.60/160.94  (step @p70 :rule eq_resolve :premises (@p8 @p69))
% 160.60/160.94  (step @p71 :rule arith_poly_norm :args ((= (* 1 (- @t57 @t58)) (* -1 (- @t58 @t57)))))
% 160.60/160.94  (step @p72 :rule arith_poly_norm_rel :premises (@p71) :args ((= @t60 @t59)))
% 160.60/160.94  (step @p73 :rule cong :premises (@p72) :args (@t61))
% 160.60/160.94  (step @p74 :rule refl :args (@t40))
% 160.60/160.94  (step @p75 :rule refl :args (@t41))
% 160.60/160.94  (step @p76 :rule arith_poly_norm :args ((= (* -3 (- @t62 0)) (* -3 (- @t9 3)))))
% 160.60/160.94  (step @p77 :rule arith_poly_norm_rel :premises (@p76) :args ((= (>= @t62 0) @t63)))
% 160.60/160.94  (step @p78 :rule refl :args (0))
% 160.60/160.94  (step @p79 :rule arith_poly_norm :args ((= (+ @t9 -3) @t62)))
% 160.60/160.94  (step @p80 :rule evaluate :args ((* -1 3)))
% 160.60/160.94  (step @p81 :rule evaluate :args (@t64))
% 160.60/160.94  (step @p82 :rule refl :args (-1))
% 160.60/160.94  (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t65))
% 160.60/160.94  (step @p84 :rule trans :premises (@p83 @p80))
% 160.60/160.94  (step @p85 :rule refl :args (@t9))
% 160.60/160.94  (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t66))
% 160.60/160.94  (step @p87 :rule trans :premises (@p86 @p79))
% 160.60/160.94  (step @p88 :rule cong :premises (@p87 @p78) :args (@t67))
% 160.60/160.94  (step @p89 :rule trans :premises (@p88 @p77))
% 160.60/160.94  (step @p90 :rule arith_poly_norm :args ((= (* -3 (- @t68 0)) (* -3 (- @t2 3)))))
% 160.60/160.94  (step @p91 :rule arith_poly_norm_rel :premises (@p90) :args ((= (>= @t68 0) @t69)))
% 160.60/160.94  (step @p92 :rule arith_poly_norm :args ((= (+ @t2 -3) @t68)))
% 160.60/160.94  (step @p93 :rule refl :args (@t2))
% 160.60/160.94  (step @p94 :rule nary_cong :premises (@p93 @p84) :args (@t70))
% 160.60/160.94  (step @p95 :rule trans :premises (@p94 @p92))
% 160.60/160.94  (step @p96 :rule cong :premises (@p95 @p78) :args (@t71))
% 160.60/160.94  (step @p97 :rule trans :premises (@p96 @p91))
% 160.60/160.94  (step @p98 :rule nary_cong :premises (@p97 @p89 @p75 @p74 @p73 @p37) :args (@t72))
% 160.60/160.94  (step @p99 :rule cong :premises (@p98) :args (@t73))
% 160.60/160.94  (step @p100 :rule refl :args (@t56))
% 160.60/160.94  (step @p101 :rule cong :premises (@p100 @p81) :args (@t74))
% 160.60/160.94  (step @p102 :rule cong :premises (@p101 @p99) :args (@t75))
% 160.60/160.94  (step @p103 :rule refl :args (@t76))
% 160.60/160.94  (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t76 @t75)))
% 160.60/160.94  (assume-push @p170 @t76)
% 160.60/160.94  (step @p106 :rule instantiate :premises (@p70) :args ((@list @t56 @t64)))
% 160.60/160.94  (step-pop @p171 :rule scope :premises (@p106))
% 160.60/160.94  (step @p107 :rule process_scope :premises (@p171) :args (@t75))
% 160.60/160.94  (step @p109 :rule eq_resolve :premises (@p107 @p104))
% 160.60/160.94  (step @p110 :rule implies_elim :premises (@p109))
% 160.60/160.94  (step @p111 :rule chain_m_resolution :premises (@p110 @p70) :args (@t79 @t80 (@list @t76)))
% 160.60/160.94  (step @p112 :rule bool-double-not-elim :args (@t37))
% 160.60/160.94  (step @p113 :rule eq_resolve :premises (@p10 @p112))
% 160.60/160.94  (step @p114 :rule instantiate :premises (@p113) :args ((@list 1 3)))
% 160.60/160.94  (step @p115 :rule cnf_equiv_pos1 :args (@t79))
% 160.60/160.94  (step @p116 :rule reordering :premises (@p115) :args ((or @t77 (not @t78) (not @t79))))
% 160.60/160.94  (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p111) :args (@t77 (@list false false) (@list @t78 @t79)))
% 160.60/160.94  (step @p118 :rule aci_norm :args ((= (or false false false false @t81 false) @t81)))
% 160.60/160.94  (step @p119 :rule evaluate :args (@t82))
% 160.60/160.94  (step @p120 :rule refl :args (@t81))
% 160.60/160.94  (step @p121 :rule evaluate :args ((not true)))
% 160.60/160.94  (step @p122 :rule evaluate :args (@t83))
% 160.60/160.94  (step @p123 :rule cong :premises (@p122) :args (@t84))
% 160.60/160.94  (step @p124 :rule trans :premises (@p123 @p121))
% 160.60/160.94  (step @p125 :rule evaluate :args (@t85))
% 160.60/160.94  (step @p126 :rule cong :premises (@p125) :args (@t86))
% 160.60/160.94  (step @p127 :rule trans :premises (@p126 @p121))
% 160.60/160.94  (step @p128 :rule evaluate :args (@t87))
% 160.60/160.94  (step @p129 :rule evaluate :args (@t88))
% 160.60/160.94  (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p124 @p120 @p119) :args (@t89))
% 160.60/160.94  (step @p131 :rule trans :premises (@p130 @p118))
% 160.60/160.94  (step @p132 :rule refl :args (@t77))
% 160.60/160.94  (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t77 @t89)))
% 160.60/160.94  (assume-push @p172 @t77)
% 160.60/160.94  (step @p135 :rule instantiate :premises (@p117) :args ((@list 0 2)))
% 160.60/160.94  (step-pop @p173 :rule scope :premises (@p135))
% 160.60/160.94  (step @p136 :rule process_scope :premises (@p173) :args (@t89))
% 160.60/160.94  (step @p138 :rule eq_resolve :premises (@p136 @p133))
% 160.60/160.94  (step @p139 :rule implies_elim :premises (@p138))
% 160.60/160.94  (step @p140 :rule chain_m_resolution :premises (@p139 @p117) :args (@t81 @t80 (@list @t77)))
% 160.60/160.94  (step @p141 :rule false_intro :premises (@p140))
% 160.60/160.94  (step @p142 :rule arith_poly_norm :args ((= (* 1 (- @t16 @t1)) (* -1 (- @t1 @t16)))))
% 160.60/160.94  (step @p143 :rule arith_poly_norm_rel :premises (@p142) :args ((= @t17 (= @t1 @t16))))
% 160.60/160.94  (step @p144 :rule cong :premises (@p143) :args (@t18))
% 160.60/160.94  (step @p145 :rule eq_resolve :premises (@p4 @p144))
% 160.60/160.94  (step @p146 :rule instantiate :premises (@p145) :args ((@list 1 2)))
% 160.60/160.94  (step @p147 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t1)) (* -1 (- @t1 @t5)))))
% 160.60/160.94  (step @p148 :rule arith_poly_norm_rel :premises (@p147) :args ((= @t6 @t90)))
% 160.60/160.94  (step @p149 :rule cong :premises (@p148) :args (@t8))
% 160.60/160.94  (step @p150 :rule eq_resolve :premises (@p1 @p149))
% 160.60/160.94  (step @p151 :rule arith_poly_norm :args ((= (* -1 (- 1 @t92)) (* 1 (- @t92 1)))))
% 160.60/160.94  (step @p152 :rule arith_poly_norm_rel :premises (@p151) :args ((= @t94 @t93)))
% 160.60/160.94  (step @p153 :rule refl :args (@t95))
% 160.60/160.94  (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t95 @t94)))
% 160.60/160.94  (assume-push @p174 @t95)
% 160.60/160.94  (step @p156 :rule instantiate :premises (@p150) :args ((@list @t91 0 1)))
% 160.60/160.94  (step-pop @p175 :rule scope :premises (@p156))
% 160.60/160.94  (step @p157 :rule process_scope :premises (@p175) :args (@t94))
% 160.60/160.94  (step @p159 :rule eq_resolve :premises (@p157 @p154))
% 160.60/160.94  (step @p160 :rule implies_elim :premises (@p159))
% 160.60/160.94  (step @p161 :rule chain_m_resolution :premises (@p160 @p150) :args (@t93 @t80 (@list @t95)))
% 160.60/160.94  (step @p162 :rule instantiate :premises (@p145) :args ((@list 1 0)))
% 160.60/160.94  (step @p163 :rule trans :premises (@p161 @p162))
% 160.60/160.94  (step @p164 :rule symm :premises (@p163))
% 160.60/160.94  (step @p165 :rule trans :premises (@p164 @p161 @p146))
% 160.60/160.94  (step @p166 :rule true_intro :premises (@p165))
% 160.60/160.94  (step @p167 :rule symm :premises (@p166))
% 160.60/160.94  (step @p168 :rule trans :premises (@p167 @p141))
% 160.60/160.94  (step @p169 false :rule eq_resolve :premises (@p168 @p12))
% 160.60/160.94  )
% 160.60/160.94  % SZS output end Proof
% 160.60/160.94  % cvc5 exiting
%------------------------------------------------------------------------------