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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT062_1 : TPTP v9.2.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n029.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 08:14:26 AM UTC 2026

% Result   : Theorem 0.72s 0.98s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : DAT062_1 : TPTP v9.2.1. Released v5.5.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Jun  1 22:27:47 EDT 2026
% 0.15/0.35  % CPUTime  : 
% 0.25/0.49  %----Proving TF0_ARI
% 0.72/0.98  --- Run --finite-model-find --decision=internal at 45...
% 0.72/0.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 0.72/0.98  % SZS status Theorem
% 0.72/0.98  % SZS output start Proof
% 0.72/0.98  (
% 0.72/0.98  (declare-sort tptp.heap 0)
% 0.72/0.98  (declare-const tptp.lsls (-> tptp.heap tptp.heap Bool))
% 0.72/0.98  (declare-const tptp.length (-> tptp.heap Int))
% 0.72/0.98  (declare-const tptp.empty tptp.heap)
% 0.72/0.98  (declare-const tptp.toop (-> tptp.heap Int))
% 0.72/0.98  (declare-const tptp.get (-> tptp.heap tptp.heap))
% 0.72/0.98  (declare-const tptp.app (-> tptp.heap Int tptp.heap))
% 0.72/0.98  (define @t1 () (@var "H" tptp.heap))
% 0.72/0.98  (define @t2 () (@var "N" Int))
% 0.72/0.98  (define @t3 () (tptp.app @t1 @t2))
% 0.72/0.98  (define @t4 () (@list @t2 @t1))
% 0.72/0.98  (define @t5 () (@list @t1 @t2))
% 0.72/0.98  (define @t6 () (@var "N0" Int))
% 0.72/0.98  (define @t7 () (@var "H0" tptp.heap))
% 0.72/0.98  (define @t8 () (@list @t1))
% 0.72/0.98  (define @t9 () (tptp.length @t1))
% 0.72/0.98  (define @t10 () (tptp.length @t3))
% 0.72/0.98  (define @t11 () (forall @t4 (= @t10 (+ 1 @t9))))
% 0.72/0.98  (define @t12 () (@var "H1" tptp.heap))
% 0.72/0.98  (define @t13 () (tptp.lsls @t7 @t1))
% 0.72/0.98  (define @t14 () (or (= @t7 @t1) @t13))
% 0.72/0.98  (define @t15 () (tptp.lsls @t7 @t3))
% 0.72/0.98  (define @t16 () (= @t15 @t14))
% 0.72/0.98  (define @t17 () (forall (@list @t2 @t7 @t1) @t16))
% 0.72/0.98  (define @t18 () (tptp.length @t7))
% 0.72/0.98  (define @t19 () (=> @t15 (< @t18 @t10)))
% 0.72/0.98  (define @t20 () (@list @t7))
% 0.72/0.98  (define @t21 () (forall @t20 @t19))
% 0.72/0.98  (define @t22 () (=> @t13 (< @t18 @t9)))
% 0.72/0.98  (define @t23 () (forall @t20 @t22))
% 0.72/0.98  (define @t24 () (not @t23))
% 0.72/0.98  (define @t25 () (or @t24 @t21))
% 0.72/0.98  (define @t26 () (forall @t5 @t25))
% 0.72/0.98  (define @t27 () (not @t26))
% 0.72/0.98  (define @t28 () (@var "BOUND_VARIABLE_7539" tptp.heap))
% 0.72/0.98  (define @t29 () (>= (+ @t10 (* -1 (tptp.length @t28))) 1))
% 0.72/0.98  (define @t30 () (not (tptp.lsls @t28 @t3)))
% 0.72/0.98  (define @t31 () (* -1 @t18))
% 0.72/0.98  (define @t32 () (+ @t9 @t31))
% 0.72/0.98  (define @t33 () (>= @t32 1))
% 0.72/0.98  (define @t34 () (not (forall @t20 (or (not @t13) @t33))))
% 0.72/0.98  (define @t35 () (or @t34 @t30 @t29))
% 0.72/0.98  (define @t36 () (or @t30 @t29))
% 0.72/0.98  (define @t37 () (or @t34 @t36))
% 0.72/0.98  (define @t38 () (@list @t1 @t2 @t28))
% 0.72/0.98  (define @t39 () (forall @t38 @t37))
% 0.72/0.98  (define @t40 () (@list @t28))
% 0.72/0.98  (define @t41 () (forall @t40 @t37))
% 0.72/0.98  (define @t42 () (forall @t40 @t36))
% 0.72/0.98  (define @t43 () (or @t34 @t42))
% 0.72/0.98  (define @t44 () (+ @t10 @t31))
% 0.72/0.98  (define @t45 () (>= @t44 1))
% 0.72/0.98  (define @t46 () (+ @t44 1))
% 0.72/0.98  (define @t47 () (>= @t18 @t10))
% 0.72/0.98  (define @t48 () (+ @t32 1))
% 0.72/0.98  (define @t49 () (>= @t18 @t9))
% 0.72/0.98  (define @t50 () (forall @t38 @t35))
% 0.72/0.98  (define @t51 () (@quantifiers_skolemize @t50 2))
% 0.72/0.98  (define @t52 () (tptp.length @t51))
% 0.72/0.98  (define @t53 () (* -1 @t52))
% 0.72/0.98  (define @t54 () (@quantifiers_skolemize @t50 1))
% 0.72/0.98  (define @t55 () (@quantifiers_skolemize @t50 0))
% 0.72/0.98  (define @t56 () (tptp.app @t55 @t54))
% 0.72/0.98  (define @t57 () (tptp.length @t56))
% 0.72/0.98  (define @t58 () (+ @t57 @t53))
% 0.72/0.98  (define @t59 () (>= @t58 1))
% 0.72/0.98  (define @t60 () (tptp.lsls @t51 @t56))
% 0.72/0.98  (define @t61 () (not @t60))
% 0.72/0.98  (define @t62 () (tptp.length @t55))
% 0.72/0.98  (define @t63 () (* -1 @t62))
% 0.72/0.98  (define @t64 () (+ @t18 @t63))
% 0.72/0.98  (define @t65 () (not (tptp.lsls @t7 @t55)))
% 0.72/0.98  (define @t66 () (forall @t20 (or @t65 (not (>= @t64 0)))))
% 0.72/0.98  (define @t67 () (not @t66))
% 0.72/0.98  (define @t68 () (or @t67 @t61 @t59))
% 0.72/0.98  (define @t69 () (not @t68))
% 0.72/0.98  (define @t70 () (not @t50))
% 0.72/0.98  (define @t71 () (+ @t31 @t62))
% 0.72/0.98  (define @t72 () (+ @t64 1))
% 0.72/0.98  (define @t73 () (+ @t62 @t31))
% 0.72/0.98  (define @t74 () (>= @t73 1))
% 0.72/0.98  (define @t75 () (or @t65 @t74))
% 0.72/0.98  (define @t76 () (forall @t20 @t75))
% 0.72/0.98  (define @t77 () (not @t76))
% 0.72/0.98  (define @t78 () (or @t77 @t61 @t59))
% 0.72/0.98  (define @t79 () (not @t78))
% 0.72/0.98  (define @t80 () (@list true))
% 0.72/0.98  (define @t81 () (not @t59))
% 0.72/0.98  (define @t82 () (@list @t68))
% 0.72/0.98  (define @t83 () (+ -1 @t57))
% 0.72/0.98  (define @t84 () (- @t62 @t83))
% 0.72/0.98  (define @t85 () (+ 1 @t62))
% 0.72/0.98  (define @t86 () (= @t62 @t83))
% 0.72/0.98  (define @t87 () (= @t57 @t85))
% 0.72/0.98  (define @t88 () (@list false))
% 0.72/0.98  (define @t89 () (tptp.lsls @t51 @t55))
% 0.72/0.98  (define @t90 () (= @t55 @t51))
% 0.72/0.98  (define @t91 () (or @t90 @t89))
% 0.72/0.98  (define @t92 () (= @t60 @t91))
% 0.72/0.98  (define @t93 () (+ @t62 @t53))
% 0.72/0.98  (define @t94 () (>= @t93 1))
% 0.72/0.98  (define @t95 () (+ @t63 @t52))
% 0.72/0.98  (define @t96 () (+ @t93 1))
% 0.72/0.98  (define @t97 () (+ @t52 @t63))
% 0.72/0.98  (define @t98 () (>= @t97 0))
% 0.72/0.98  (define @t99 () (not @t98))
% 0.72/0.98  (define @t100 () (not @t89))
% 0.72/0.98  (define @t101 () (or @t100 @t99))
% 0.72/0.98  (define @t102 () (or @t100 @t94))
% 0.72/0.98  (define @t103 () (not @t94))
% 0.72/0.98  (define @t104 () (not @t86))
% 0.72/0.98  (define @t105 () (not @t81))
% 0.72/0.98  (define @t106 () (* -1 1))
% 0.72/0.98  (define @t107 () (+ @t106 0 -1))
% 0.72/0.98  (define @t108 () (* -1 @t57))
% 0.72/0.98  (define @t109 () (= (+ @t108 0 @t57 0) 0))
% 0.72/0.98  (define @t110 () (* 0 @t62))
% 0.72/0.98  (define @t111 () (= @t110 0))
% 0.72/0.98  (define @t112 () (* 0 @t52))
% 0.72/0.98  (define @t113 () (= @t112 0))
% 0.72/0.98  (define @t114 () (+ @t108 @t112 @t57 @t110))
% 0.72/0.98  (define @t115 () (+ @t62 @t108))
% 0.72/0.98  (define @t116 () (* -1 @t93))
% 0.72/0.98  (define @t117 () (+ @t116 @t58 @t115))
% 0.72/0.98  (define @t118 () (= (* 1 (- @t115 -1)) (* 1 @t84)))
% 0.72/0.98  (define @t119 () (= (= @t115 -1) @t86))
% 0.72/0.98  (define @t120 () (< -1 0))
% 0.72/0.98  (define @t121 () (@list true false))
% 0.72/0.98  (define @t122 () (not @t90))
% 0.72/0.98  (define @t123 () (= @t62 @t52))
% 0.72/0.98  (define @t124 () (= @t93 0))
% 0.72/0.98  (define @t125 () (* -1 0))
% 0.72/0.98  (define @t126 () (+ @t125 -1 1))
% 0.72/0.98  (define @t127 () (+ @t116 @t115 @t58))
% 0.72/0.98  (define @t128 () (>= @t127 @t126))
% 0.72/0.98  (define @t129 () (and @t81 @t86 @t123))
% 0.72/0.98  (assume @p1 (forall @t4 (= (tptp.get @t3) @t1)))
% 0.72/0.98  (assume @p2 (forall @t5 (= (tptp.toop @t3) @t2)))
% 0.72/0.98  (assume @p3 (forall (@list @t1 @t7 @t2 @t6) (= (= @t3 (tptp.app @t7 @t6)) (and (= @t1 @t7) (= @t2 @t6)))))
% 0.72/0.98  (assume @p4 (forall @t5 (not (= tptp.empty @t3))))
% 0.72/0.98  (assume @p5 (forall @t8 (or (= @t1 tptp.empty) (= @t1 (tptp.app (tptp.get @t1) (tptp.toop @t1))))))
% 0.72/0.98  (assume @p6 (= (tptp.length tptp.empty) 0))
% 0.72/0.98  (assume @p7 @t11)
% 0.72/0.98  (assume @p8 (forall @t8 (not (tptp.lsls @t1 @t1))))
% 0.72/0.98  (assume @p9 (forall (@list @t7 @t1 @t12) (=> (and (tptp.lsls @t1 @t7) (tptp.lsls @t7 @t12)) (tptp.lsls @t1 @t12))))
% 0.72/0.98  (assume @p10 (forall @t8 (not (tptp.lsls @t1 tptp.empty))))
% 0.72/0.98  (assume @p11 @t17)
% 0.72/0.98  (assume @p12 @t27)
% 0.72/0.98  (assume @p13 true)
% 0.72/0.98  (step @p14 :rule aci_norm :args ((= @t37 @t35)))
% 0.72/0.98  (step @p15 :rule cong :premises (@p14) :args (@t39))
% 0.72/0.98  (step @p16 :rule quant-merge-prenex :args ((= (forall @t5 @t41) @t39)))
% 0.72/0.98  (step @p17 :rule alpha_equiv :args (@t42 (@list @t28) (@list @t7)))
% 0.72/0.98  (step @p18 :rule refl :args (@t34))
% 0.72/0.98  (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t43))
% 0.72/0.98  (step @p20 :rule quant-miniscope-or :args ((= @t41 @t43)))
% 0.72/0.98  (step @p21 :rule trans :premises (@p20 @p19))
% 0.72/0.98  (step @p22 :rule symm :premises (@p21))
% 0.72/0.98  (step @p23 :rule cong :premises (@p22) :args ((forall @t5 (or @t34 (forall @t20 (or (not @t15) @t45))))))
% 0.72/0.98  (step @p24 :rule trans :premises (@p23 @p16))
% 0.72/0.98  (step @p25 :rule trans :premises (@p24 @p15))
% 0.72/0.98  (step @p26 :rule bool-impl-elim :args (@t15 @t45))
% 0.72/0.98  (step @p27 :rule cong :premises (@p26) :args ((forall @t20 (=> @t15 @t45))))
% 0.72/0.98  (step @p28 :rule bool-double-not-elim :args (@t45))
% 0.72/0.98  (step @p29 :rule arith_poly_norm :args ((= (* -1 (- 1 @t46)) (* -1 (- @t18 @t10)))))
% 0.72/0.98  (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (>= 1 @t46) @t47)))
% 0.72/0.98  (step @p31 :rule arith-geq-tighten :args (@t44 1))
% 0.72/0.98  (step @p32 :rule trans :premises (@p31 @p30))
% 0.72/0.98  (step @p33 :rule symm :premises (@p32))
% 0.72/0.98  (step @p34 :rule cong :premises (@p33) :args ((not @t47)))
% 0.72/0.98  (step @p35 :rule trans :premises (@p34 @p28))
% 0.72/0.98  (step @p36 :rule arith-elim-lt :args (@t18 @t10))
% 0.72/0.98  (step @p37 :rule trans :premises (@p36 @p35))
% 0.72/0.98  (step @p38 :rule refl :args (@t15))
% 0.72/0.98  (step @p39 :rule cong :premises (@p38 @p37) :args (@t19))
% 0.72/0.98  (step @p40 :rule cong :premises (@p39) :args (@t21))
% 0.72/0.98  (step @p41 :rule trans :premises (@p40 @p27))
% 0.72/0.98  (step @p42 :rule bool-impl-elim :args (@t13 @t33))
% 0.72/0.98  (step @p43 :rule cong :premises (@p42) :args ((forall @t20 (=> @t13 @t33))))
% 0.72/0.98  (step @p44 :rule bool-double-not-elim :args (@t33))
% 0.72/0.98  (step @p45 :rule arith_poly_norm :args ((= (* -1 (- 1 @t48)) (* -1 (- @t18 @t9)))))
% 0.72/0.98  (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= (>= 1 @t48) @t49)))
% 0.72/0.98  (step @p47 :rule arith-geq-tighten :args (@t32 1))
% 0.72/0.98  (step @p48 :rule trans :premises (@p47 @p46))
% 0.72/0.98  (step @p49 :rule symm :premises (@p48))
% 0.72/0.98  (step @p50 :rule cong :premises (@p49) :args ((not @t49)))
% 0.72/0.98  (step @p51 :rule trans :premises (@p50 @p44))
% 0.72/0.98  (step @p52 :rule arith-elim-lt :args (@t18 @t9))
% 0.72/0.98  (step @p53 :rule trans :premises (@p52 @p51))
% 0.72/0.98  (step @p54 :rule refl :args (@t13))
% 0.72/0.98  (step @p55 :rule cong :premises (@p54 @p53) :args (@t22))
% 0.72/0.98  (step @p56 :rule cong :premises (@p55) :args (@t23))
% 0.72/0.98  (step @p57 :rule trans :premises (@p56 @p43))
% 0.72/0.98  (step @p58 :rule cong :premises (@p57) :args (@t24))
% 0.72/0.98  (step @p59 :rule nary_cong :premises (@p58 @p41) :args (@t25))
% 0.72/0.98  (step @p60 :rule cong :premises (@p59) :args (@t26))
% 0.72/0.98  (step @p61 :rule trans :premises (@p60 @p25))
% 0.72/0.98  (step @p62 :rule cong :premises (@p61) :args (@t27))
% 0.72/0.98  (step @p63 :rule eq_resolve :premises (@p12 @p62))
% 0.72/0.98  (step @p64 :rule refl :args (@t69))
% 0.72/0.98  (step @p65 :rule bool-double-not-elim :args (@t50))
% 0.72/0.98  (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t70) @t69)))
% 0.72/0.98  (step @p67 :rule refl :args (@t59))
% 0.72/0.98  (step @p68 :rule refl :args (@t61))
% 0.72/0.98  (step @p69 :rule arith_poly_norm :args ((= (* -1 (- 0 @t72)) (* -1 (- @t71 1)))))
% 0.72/0.98  (step @p70 :rule arith_poly_norm_rel :premises (@p69) :args ((= (>= 0 @t72) (>= @t71 1))))
% 0.72/0.98  (step @p71 :rule arith-geq-tighten :args (@t64 0))
% 0.72/0.98  (step @p72 :rule trans :premises (@p71 @p70))
% 0.72/0.98  (step @p73 :rule symm :premises (@p72))
% 0.72/0.98  (step @p74 :rule refl :args (1))
% 0.72/0.98  (step @p75 :rule arith_poly_norm :args ((= @t73 @t71)))
% 0.72/0.98  (step @p76 :rule cong :premises (@p75 @p74) :args (@t74))
% 0.72/0.98  (step @p77 :rule trans :premises (@p76 @p73))
% 0.72/0.98  (step @p78 :rule refl :args (@t65))
% 0.72/0.98  (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t75))
% 0.72/0.98  (step @p80 :rule cong :premises (@p79) :args (@t76))
% 0.72/0.98  (step @p81 :rule cong :premises (@p80) :args (@t77))
% 0.72/0.98  (step @p82 :rule nary_cong :premises (@p81 @p68 @p67) :args (@t78))
% 0.72/0.98  (step @p83 :rule cong :premises (@p82) :args (@t79))
% 0.72/0.98  (step @p84 :rule refl :args (@t70))
% 0.72/0.98  (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t70 @t79)))
% 0.72/0.98  (assume-push @p259 @t70)
% 0.72/0.98  (step @p87 :rule skolemize :premises (@p63))
% 0.72/0.98  (step-pop @p260 :rule scope :premises (@p87))
% 0.72/0.98  (step @p88 :rule process_scope :premises (@p260) :args (@t79))
% 0.72/0.98  (step @p90 :rule eq_resolve :premises (@p88 @p85))
% 0.72/0.98  (step @p91 :rule implies_elim :premises (@p90))
% 0.72/0.98  (step @p92 :rule eq_resolve :premises (@p91 @p66))
% 0.72/0.98  (step @p93 :rule chain_m_resolution :premises (@p92 @p63) :args (@t69 @t80 (@list @t50)))
% 0.72/0.98  (step @p94 :rule cnf_or_neg :args (@t68 2))
% 0.72/0.98  (step @p95 :rule chain_m_resolution :premises (@p94 @p93) :args (@t81 @t80 @t82))
% 0.72/0.98  (step @p96 :rule arith_poly_norm :args ((= (* 1 (- @t57 @t85)) (* -1 @t84))))
% 0.72/0.98  (step @p97 :rule arith_poly_norm_rel :premises (@p96) :args ((= @t87 @t86)))
% 0.72/0.98  (step @p98 :rule refl :args (@t11))
% 0.72/0.98  (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t11 @t87)))
% 0.72/0.98  (assume-push @p261 @t11)
% 0.72/0.98  (step @p101 :rule instantiate :premises (@p7) :args ((@list @t54 @t55)))
% 0.72/0.98  (step-pop @p262 :rule scope :premises (@p101))
% 0.72/0.98  (step @p102 :rule process_scope :premises (@p262) :args (@t87))
% 0.72/0.98  (step @p104 :rule eq_resolve :premises (@p102 @p99))
% 0.72/0.98  (step @p105 :rule implies_elim :premises (@p104))
% 0.72/0.98  (step @p106 :rule chain_m_resolution :premises (@p105 @p7) :args (@t86 @t88 (@list @t11)))
% 0.72/0.98  (step @p107 :rule eq-symm :args (@t7 @t1))
% 0.72/0.98  (step @p108 :rule nary_cong :premises (@p107 @p54) :args (@t14))
% 0.72/0.98  (step @p109 :rule cong :premises (@p38 @p108) :args (@t16))
% 0.72/0.98  (step @p110 :rule cong :premises (@p109) :args (@t17))
% 0.72/0.98  (step @p111 :rule eq_resolve :premises (@p11 @p110))
% 0.72/0.98  (step @p112 :rule instantiate :premises (@p111) :args ((@list @t54 @t51 @t55)))
% 0.72/0.98  (step @p113 :rule bool-double-not-elim :args (@t60))
% 0.72/0.98  (step @p114 :rule refl :args (@t68))
% 0.72/0.98  (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t68 (not @t61))))
% 0.72/0.98  (step @p116 :rule cnf_or_neg :args (@t68 1))
% 0.72/0.98  (step @p117 :rule eq_resolve :premises (@p116 @p115))
% 0.72/0.98  (step @p118 :rule reordering :premises (@p117) :args ((or @t60 @t68)))
% 0.72/0.98  (step @p119 :rule chain_m_resolution :premises (@p118 @p93) :args (@t60 @t80 @t82))
% 0.72/0.98  (step @p120 :rule cnf_equiv_pos1 :args (@t92))
% 0.72/0.98  (step @p121 :rule reordering :premises (@p120) :args ((or @t61 @t91 (not @t92))))
% 0.72/0.98  (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p112) :args (@t91 (@list false false) (@list @t60 @t92)))
% 0.72/0.98  (step @p123 :rule bool-double-not-elim :args (@t66))
% 0.72/0.98  (step @p124 :rule nary_cong :premises (@p114 @p123) :args ((or @t68 (not @t67))))
% 0.72/0.98  (step @p125 :rule cnf_or_neg :args (@t68 0))
% 0.72/0.98  (step @p126 :rule eq_resolve :premises (@p125 @p124))
% 0.72/0.98  (step @p127 :rule reordering :premises (@p126) :args ((or @t66 @t68)))
% 0.72/0.98  (step @p128 :rule chain_m_resolution :premises (@p127 @p93) :args (@t66 @t80 @t82))
% 0.72/0.98  (step @p129 :rule bool-double-not-elim :args (@t94))
% 0.72/0.98  (step @p130 :rule arith_poly_norm :args ((= (* -1 (- 1 @t96)) (* -1 (- @t95 0)))))
% 0.72/0.98  (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= (>= 1 @t96) (>= @t95 0))))
% 0.72/0.98  (step @p132 :rule arith-geq-tighten :args (@t93 1))
% 0.72/0.98  (step @p133 :rule trans :premises (@p132 @p131))
% 0.72/0.98  (step @p134 :rule symm :premises (@p133))
% 0.72/0.98  (step @p135 :rule refl :args (0))
% 0.72/0.98  (step @p136 :rule arith_poly_norm :args ((= @t97 @t95)))
% 0.72/0.98  (step @p137 :rule cong :premises (@p136 @p135) :args (@t98))
% 0.72/0.98  (step @p138 :rule trans :premises (@p137 @p134))
% 0.72/0.98  (step @p139 :rule cong :premises (@p138) :args (@t99))
% 0.72/0.98  (step @p140 :rule trans :premises (@p139 @p129))
% 0.72/0.98  (step @p141 :rule refl :args (@t100))
% 0.72/0.98  (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t101))
% 0.72/0.98  (step @p143 :rule refl :args (@t66))
% 0.72/0.98  (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t66 @t101)))
% 0.72/0.98  (assume-push @p263 @t66)
% 0.72/0.98  (step @p146 :rule instantiate :premises (@p128) :args ((@list @t51)))
% 0.72/0.98  (step-pop @p264 :rule scope :premises (@p146))
% 0.72/0.98  (step @p147 :rule process_scope :premises (@p264) :args (@t101))
% 0.72/0.98  (step @p149 :rule eq_resolve :premises (@p147 @p144))
% 0.72/0.98  (step @p150 :rule implies_elim :premises (@p149))
% 0.72/0.98  (step @p151 :rule chain_m_resolution :premises (@p150 @p128) :args (@t102 @t88 (@list @t66)))
% 0.72/0.98  (step @p152 :rule refl :args (@t103))
% 0.72/0.98  (step @p153 :rule refl :args (@t104))
% 0.72/0.98  (step @p154 :rule bool-double-not-elim :args (@t59))
% 0.72/0.98  (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args ((or @t105 @t104 @t103)))
% 0.72/0.98  (assume-push @p265 @t81)
% 0.72/0.98  (assume-push @p266 @t86)
% 0.72/0.98  (assume-push @p267 @t94)
% 0.72/0.98  (step @p159 :rule evaluate :args ((<= 0 -2)))
% 0.72/0.98  (step @p160 :rule evaluate :args ((+ -1 0 -1)))
% 0.72/0.98  (step @p161 :rule refl :args (-1))
% 0.72/0.98  (step @p162 :rule evaluate :args (@t106))
% 0.72/0.98  (step @p163 :rule nary_cong :premises (@p162 @p135 @p161) :args (@t107))
% 0.72/0.98  (step @p164 :rule trans :premises (@p163 @p160))
% 0.72/0.98  (step @p165 :rule arith_poly_norm :args (@t109))
% 0.72/0.98  (step @p166 :rule arith_poly_norm :args (@t111))
% 0.72/0.98  (step @p167 :rule refl :args (@t57))
% 0.72/0.98  (step @p168 :rule arith_poly_norm :args (@t113))
% 0.72/0.98  (step @p169 :rule refl :args (@t108))
% 0.72/0.98  (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166) :args (@t114))
% 0.72/0.98  (step @p171 :rule trans :premises (@p170 @p165))
% 0.72/0.98  (step @p172 :rule arith_poly_norm :args ((= @t117 @t114)))
% 0.72/0.98  (step @p173 :rule trans :premises (@p172 @p171))
% 0.72/0.98  (step @p174 :rule cong :premises (@p173 @p164) :args ((<= @t117 @t107)))
% 0.72/0.98  (step @p175 :rule trans :premises (@p174 @p159))
% 0.72/0.98  (step @p176 :rule arith_poly_norm :args (@t118))
% 0.72/0.98  (step @p177 :rule arith_poly_norm_rel :premises (@p176) :args (@t119))
% 0.72/0.98  (step @p178 :rule symm :premises (@p177))
% 0.72/0.98  (step @p179 :rule eq_resolve :premises (@p106 @p178))
% 0.72/0.98  (step @p180 :rule arith-elim-lt :args (@t58 1))
% 0.72/0.98  (step @p181 :rule symm :premises (@p180))
% 0.72/0.98  (step @p182 :rule eq_resolve :premises (@p95 @p181))
% 0.72/0.98  (step @p183 :rule int_tight_ub :premises (@p182))
% 0.72/0.98  (step @p184 :rule arith_mult_neg :args (-1 @t94))
% 0.72/0.98  (step @p185 :rule evaluate :args (@t120))
% 0.72/0.98  (step @p186 :rule true_elim :premises (@p185))
% 0.72/0.98  (step @p187 :rule and_intro :premises (@p186 @p267))
% 0.72/0.98  (step @p188 :rule modus_ponens :premises (@p187 @p184))
% 0.72/0.98  (step @p189 :rule arith_sum_ub :premises (@p188 @p183 @p179))
% 0.72/0.98  (step @p190 false :rule eq_resolve :premises (@p189 @p175))
% 0.72/0.98  (step-pop @p268 :rule scope :premises (@p190))
% 0.72/0.98  (step-pop @p269 :rule scope :premises (@p268))
% 0.72/0.98  (step-pop @p270 :rule scope :premises (@p269))
% 0.72/0.98  (step @p191 :rule process_scope :premises (@p270) :args (false))
% 0.72/0.98  (step @p195 :rule not_and :premises (@p191))
% 0.72/0.98  (step @p196 :rule eq_resolve :premises (@p195 @p155))
% 0.72/0.98  (step @p197 :rule reordering :premises (@p196) :args ((or @t59 @t103 @t104)))
% 0.72/0.98  (step @p198 :rule chain_m_resolution :premises (@p197 @p95 @p106) :args (@t103 @t121 (@list @t59 @t86)))
% 0.72/0.98  (step @p199 :rule cnf_or_pos :args (@t102))
% 0.72/0.98  (step @p200 :rule reordering :premises (@p199) :args ((or @t100 @t94 (not @t102))))
% 0.72/0.98  (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p151) :args (@t100 @t121 (@list @t94 @t102)))
% 0.72/0.98  (step @p202 :rule cnf_or_pos :args (@t91))
% 0.72/0.98  (step @p203 :rule reordering :premises (@p202) :args ((or @t90 @t89 (not @t91))))
% 0.72/0.98  (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p122) :args (@t90 @t121 (@list @t89 @t91)))
% 0.72/0.98  (step @p205 :rule refl :args (@t122))
% 0.72/0.98  (step @p206 :rule nary_cong :premises (@p154 @p153 @p205) :args ((or @t105 @t104 @t122)))
% 0.72/0.98  (assume-push @p271 @t81)
% 0.72/0.98  (assume-push @p272 @t86)
% 0.72/0.98  (assume-push @p273 @t123)
% 0.72/0.98  (assume-push @p274 @t124)
% 0.72/0.98  (step @p211 :rule evaluate :args ((not true)))
% 0.72/0.98  (step @p212 :rule evaluate :args ((>= 0 0)))
% 0.72/0.98  (step @p213 :rule evaluate :args ((+ 0 -1 1)))
% 0.72/0.98  (step @p161 :rule refl :args (-1))
% 0.72/0.98  (step @p214 :rule evaluate :args (@t125))
% 0.72/0.98  (step @p215 :rule nary_cong :premises (@p214 @p161 @p74) :args (@t126))
% 0.72/0.98  (step @p216 :rule trans :premises (@p215 @p213))
% 0.72/0.98  (step @p165 :rule arith_poly_norm :args (@t109))
% 0.72/0.98  (step @p166 :rule arith_poly_norm :args (@t111))
% 0.72/0.98  (step @p167 :rule refl :args (@t57))
% 0.72/0.98  (step @p168 :rule arith_poly_norm :args (@t113))
% 0.72/0.98  (step @p169 :rule refl :args (@t108))
% 0.72/0.98  (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166) :args (@t114))
% 0.72/0.98  (step @p171 :rule trans :premises (@p170 @p165))
% 0.72/0.98  (step @p217 :rule arith_poly_norm :args ((= @t127 @t114)))
% 0.72/0.98  (step @p218 :rule trans :premises (@p217 @p171))
% 0.72/0.98  (step @p219 :rule cong :premises (@p218 @p216) :args (@t128))
% 0.72/0.98  (step @p220 :rule trans :premises (@p219 @p212))
% 0.72/0.98  (step @p221 :rule cong :premises (@p220) :args ((not @t128)))
% 0.72/0.98  (step @p222 :rule trans :premises (@p221 @p211))
% 0.72/0.98  (step @p223 :rule arith-elim-lt :args (@t127 @t126))
% 0.72/0.98  (step @p224 :rule trans :premises (@p223 @p222))
% 0.72/0.98  (step @p180 :rule arith-elim-lt :args (@t58 1))
% 0.72/0.98  (step @p181 :rule symm :premises (@p180))
% 0.72/0.98  (step @p182 :rule eq_resolve :premises (@p95 @p181))
% 0.72/0.98  (step @p176 :rule arith_poly_norm :args (@t118))
% 0.72/0.98  (step @p177 :rule arith_poly_norm_rel :premises (@p176) :args (@t119))
% 0.72/0.98  (step @p178 :rule symm :premises (@p177))
% 0.72/0.98  (step @p179 :rule eq_resolve :premises (@p106 @p178))
% 0.72/0.98  (step @p225 :rule arith_mult_neg :args (-1 @t124))
% 0.72/0.98  (step @p185 :rule evaluate :args (@t120))
% 0.72/0.98  (step @p186 :rule true_elim :premises (@p185))
% 0.72/0.98  (step @p226 :rule and_intro :premises (@p186 @p274))
% 0.72/0.98  (step @p227 :rule modus_ponens :premises (@p226 @p225))
% 0.72/0.98  (step @p228 :rule arith_sum_ub :premises (@p227 @p179 @p182))
% 0.72/0.98  (step @p229 false :rule eq_resolve :premises (@p228 @p224))
% 0.72/0.98  (step-pop @p275 :rule scope :premises (@p229))
% 0.72/0.98  (step @p230 :rule process_scope :premises (@p275) :args (false))
% 0.72/0.98  (step @p232 :rule arith_poly_norm :args ((= (* 1 (- @t93 0)) (* 1 (- @t62 @t52)))))
% 0.72/0.98  (step @p233 :rule arith_poly_norm_rel :premises (@p232) :args ((= @t124 @t123)))
% 0.72/0.98  (step @p234 :rule symm :premises (@p233))
% 0.72/0.98  (step @p235 :rule eq_resolve :premises (@p273 @p234))
% 0.72/0.98  (step @p236 false :rule contra :premises (@p235 @p230))
% 0.72/0.98  (step-pop @p276 :rule scope :premises (@p236))
% 0.72/0.98  (step-pop @p277 :rule scope :premises (@p276))
% 0.72/0.98  (step-pop @p278 :rule scope :premises (@p277))
% 0.72/0.98  (step @p237 :rule process_scope :premises (@p278) :args (false))
% 0.72/0.98  (assume-push @p279 @t81)
% 0.72/0.98  (assume-push @p280 @t86)
% 0.72/0.98  (assume-push @p281 @t90)
% 0.72/0.98  (assume-push @p282 @t90)
% 0.72/0.98  (step @p245 :rule cong :premises (@p281) :args (@t62))
% 0.72/0.98  (step-pop @p283 :rule scope :premises (@p245))
% 0.72/0.98  (step @p246 :rule process_scope :premises (@p283) :args (@t123))
% 0.72/0.98  (step @p248 :rule modus_ponens :premises (@p281 @p246))
% 0.72/0.98  (step @p249 :rule and_intro :premises (@p95 @p106 @p248))
% 0.72/0.98  (step-pop @p284 :rule scope :premises (@p249))
% 0.72/0.98  (step-pop @p285 :rule scope :premises (@p284))
% 0.72/0.98  (step-pop @p286 :rule scope :premises (@p285))
% 0.72/0.98  (step @p250 :rule process_scope :premises (@p286) :args (@t129))
% 0.72/0.98  (step @p254 :rule implies_elim :premises (@p250))
% 0.72/0.98  (step @p255 :rule resolution :premises (@p254 @p237) :args (true @t129))
% 0.72/0.98  (step @p256 :rule not_and :premises (@p255))
% 0.72/0.98  (step @p257 :rule eq_resolve :premises (@p256 @p206))
% 0.72/0.98  (step @p258 false :rule chain_m_resolution :premises (@p257 @p204 @p106 @p95) :args (false (@list false false true) (@list @t90 @t86 @t59)))
% 0.72/0.98  )
% 0.72/0.98  % SZS output end Proof
% 0.72/0.98  % cvc5 exiting
%------------------------------------------------------------------------------