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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT072_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 : n018.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 0.43s 0.67s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT072_1 : TPTP v9.2.1. Released v6.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n018.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 : Mon Jun  1 22:27:50 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_ARI
% 0.43/0.67  --- Run --finite-model-find --decision=internal at 45...
% 0.43/0.67  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 0.43/0.67  % SZS status Theorem
% 0.43/0.67  % SZS output start Proof
% 0.43/0.67  (
% 0.43/0.67  (declare-sort tptp.array 0)
% 0.43/0.67  (declare-const tptp.rev (-> tptp.array Int tptp.array))
% 0.43/0.67  (declare-const tptp.distinct (-> tptp.array Int Bool))
% 0.43/0.67  (declare-const tptp.sorted (-> tptp.array Int Bool))
% 0.43/0.67  (declare-const tptp.max (-> tptp.array Int Int))
% 0.43/0.67  (declare-const tptp.init (-> Int tptp.array))
% 0.43/0.67  (declare-const tptp.inRange (-> tptp.array Int Int Bool))
% 0.43/0.67  (declare-const tptp.read (-> tptp.array Int Int))
% 0.43/0.67  (declare-const tptp.write (-> tptp.array Int Int tptp.array))
% 0.43/0.67  (define @t1 () (@var "V" Int))
% 0.43/0.67  (define @t2 () (@var "I" Int))
% 0.43/0.67  (define @t3 () (@var "A" tptp.array))
% 0.43/0.67  (define @t4 () (tptp.write @t3 @t2 @t1))
% 0.43/0.67  (define @t5 () (@var "J" Int))
% 0.43/0.67  (define @t6 () (tptp.read @t3 @t5))
% 0.43/0.67  (define @t7 () (= @t2 @t5))
% 0.43/0.67  (define @t8 () (@var "B" tptp.array))
% 0.43/0.67  (define @t9 () (= @t3 @t8))
% 0.43/0.67  (define @t10 () (tptp.read @t8 @t2))
% 0.43/0.67  (define @t11 () (tptp.read @t3 @t2))
% 0.43/0.67  (define @t12 () (@list @t2))
% 0.43/0.67  (define @t13 () (forall @t12 (= @t11 @t10)))
% 0.43/0.67  (define @t14 () (@list @t3 @t8))
% 0.43/0.67  (define @t15 () (forall @t14 (=> @t13 @t9)))
% 0.43/0.67  (define @t16 () (@var "W" Int))
% 0.43/0.67  (define @t17 () (@var "N" Int))
% 0.43/0.67  (define @t18 () (>= @t2 0))
% 0.43/0.67  (define @t19 () (> @t17 @t2))
% 0.43/0.67  (define @t20 () (and @t19 @t18))
% 0.43/0.67  (define @t21 () (<= 0 @t2))
% 0.43/0.67  (define @t22 () (@list @t2 @t5))
% 0.43/0.67  (define @t23 () (@list @t3 @t17))
% 0.43/0.67  (define @t24 () (@var "R" Int))
% 0.43/0.67  (define @t25 () (>= @t2 @t17))
% 0.43/0.67  (define @t26 () (or (> 0 @t2) @t25))
% 0.43/0.67  (define @t27 () (+ @t2 1))
% 0.43/0.67  (define @t28 () (- @t17 @t27))
% 0.43/0.67  (define @t29 () (tptp.read @t3 @t28))
% 0.43/0.67  (define @t30 () (@var "B2" tptp.array))
% 0.43/0.67  (define @t31 () (@var "B1" tptp.array))
% 0.43/0.67  (define @t32 () (= @t31 @t30))
% 0.43/0.67  (define @t33 () (tptp.read @t30 @t2))
% 0.43/0.67  (define @t34 () (= @t33 @t11))
% 0.43/0.67  (define @t35 () (and @t26 @t34))
% 0.43/0.67  (define @t36 () (= @t33 @t29))
% 0.43/0.67  (define @t37 () (and @t18 @t19 @t36))
% 0.43/0.67  (define @t38 () (or @t37 @t35))
% 0.43/0.67  (define @t39 () (forall @t12 @t38))
% 0.43/0.67  (define @t40 () (tptp.read @t31 @t2))
% 0.43/0.67  (define @t41 () (= @t40 @t11))
% 0.43/0.67  (define @t42 () (and @t26 @t41))
% 0.43/0.67  (define @t43 () (= @t40 @t29))
% 0.43/0.67  (define @t44 () (and @t18 @t19 @t43))
% 0.43/0.67  (define @t45 () (or @t44 @t42))
% 0.43/0.67  (define @t46 () (forall @t12 @t45))
% 0.43/0.67  (define @t47 () (and @t46 @t39))
% 0.43/0.67  (define @t48 () (=> @t47 @t32))
% 0.43/0.67  (define @t49 () (@list @t3 @t31 @t30 @t17))
% 0.43/0.67  (define @t50 () (forall @t49 @t48))
% 0.43/0.67  (define @t51 () (not @t50))
% 0.43/0.67  (define @t52 () (= @t11 @t33))
% 0.43/0.67  (define @t53 () (+ @t2 (* -1 @t17)))
% 0.43/0.67  (define @t54 () (>= @t53 0))
% 0.43/0.67  (define @t55 () (not @t18))
% 0.43/0.67  (define @t56 () (or @t55 @t54))
% 0.43/0.67  (define @t57 () (* -1 @t2))
% 0.43/0.67  (define @t58 () (+ -1 @t57 @t17))
% 0.43/0.67  (define @t59 () (tptp.read @t3 @t58))
% 0.43/0.67  (define @t60 () (not @t54))
% 0.43/0.67  (define @t61 () (forall @t12 (or (and @t18 @t60 (= @t33 @t59)) (and @t56 @t52))))
% 0.43/0.67  (define @t62 () (not @t61))
% 0.43/0.67  (define @t63 () (= @t11 @t40))
% 0.43/0.67  (define @t64 () (forall @t12 (or (and @t18 @t60 (= @t40 @t59)) (and @t56 @t63))))
% 0.43/0.67  (define @t65 () (not @t64))
% 0.43/0.67  (define @t66 () (or @t65 @t62 @t32))
% 0.43/0.67  (define @t67 () (forall @t49 @t66))
% 0.43/0.67  (define @t68 () (@quantifiers_skolemize @t67 2))
% 0.43/0.67  (define @t69 () (@quantifiers_skolemize @t67 1))
% 0.43/0.67  (define @t70 () (tptp.read @t68 @t2))
% 0.43/0.67  (define @t71 () (tptp.read @t69 @t2))
% 0.43/0.67  (define @t72 () (= @t71 @t70))
% 0.43/0.67  (define @t73 () (= @t70 @t71))
% 0.43/0.67  (define @t74 () (forall @t12 @t73))
% 0.43/0.67  (define @t75 () (not @t74))
% 0.43/0.67  (define @t76 () (or @t75 (= @t68 @t69)))
% 0.43/0.67  (define @t77 () (forall @t14 (or (not @t13) @t9)))
% 0.43/0.67  (define @t78 () (= @t69 @t68))
% 0.43/0.67  (define @t79 () (forall @t12 @t72))
% 0.43/0.67  (define @t80 () (not @t79))
% 0.43/0.67  (define @t81 () (or @t80 @t78))
% 0.43/0.67  (define @t82 () (@list false))
% 0.43/0.67  (define @t83 () (and @t64 @t61))
% 0.43/0.67  (define @t84 () (= @t25 @t54))
% 0.43/0.67  (define @t85 () (+ -1 @t57))
% 0.43/0.67  (define @t86 () (+ 1 @t2))
% 0.43/0.67  (define @t87 () (* -1 @t27))
% 0.43/0.67  (define @t88 () (+ @t17 @t87))
% 0.43/0.67  (define @t89 () (@quantifiers_skolemize @t67 0))
% 0.43/0.67  (define @t90 () (tptp.read @t89 @t2))
% 0.43/0.67  (define @t91 () (@quantifiers_skolemize @t67 3))
% 0.43/0.67  (define @t92 () (* -1 @t91))
% 0.43/0.67  (define @t93 () (>= (+ @t2 @t92) 0))
% 0.43/0.67  (define @t94 () (or @t55 @t93))
% 0.43/0.67  (define @t95 () (and @t94 (= @t90 @t70)))
% 0.43/0.67  (define @t96 () (tptp.read @t89 (+ -1 @t57 @t91)))
% 0.43/0.67  (define @t97 () (= @t96 @t70))
% 0.43/0.67  (define @t98 () (not @t93))
% 0.43/0.67  (define @t99 () (forall @t12 (or (and @t18 @t98 @t97) @t95)))
% 0.43/0.67  (define @t100 () (not @t99))
% 0.43/0.67  (define @t101 () (= @t71 @t90))
% 0.43/0.67  (define @t102 () (and @t18 @t98 (= @t71 @t96)))
% 0.43/0.67  (define @t103 () (forall @t12 (or @t102 (and @t94 @t101))))
% 0.43/0.67  (define @t104 () (not @t103))
% 0.43/0.67  (define @t105 () (or @t104 @t100 @t78))
% 0.43/0.67  (define @t106 () (not @t105))
% 0.43/0.67  (define @t107 () (not @t67))
% 0.43/0.67  (define @t108 () (= @t70 @t96))
% 0.43/0.67  (define @t109 () (and @t18 @t98 @t108))
% 0.43/0.67  (define @t110 () (or @t109 @t95))
% 0.43/0.67  (define @t111 () (forall @t12 @t110))
% 0.43/0.67  (define @t112 () (not @t111))
% 0.43/0.67  (define @t113 () (= @t90 @t71))
% 0.43/0.67  (define @t114 () (and @t94 @t113))
% 0.43/0.67  (define @t115 () (or @t102 @t114))
% 0.43/0.67  (define @t116 () (forall @t12 @t115))
% 0.43/0.67  (define @t117 () (not @t116))
% 0.43/0.67  (define @t118 () (or @t117 @t112 @t78))
% 0.43/0.67  (define @t119 () (not @t118))
% 0.43/0.67  (define @t120 () (@list true))
% 0.43/0.67  (define @t121 () (@list @t105))
% 0.43/0.67  (define @t122 () (@list true false))
% 0.43/0.67  (define @t123 () (@quantifiers_skolemize @t79 0))
% 0.43/0.67  (define @t124 () (tptp.read @t89 @t123))
% 0.43/0.67  (define @t125 () (tptp.read @t69 @t123))
% 0.43/0.67  (define @t126 () (= @t125 @t124))
% 0.43/0.67  (define @t127 () (+ @t92 @t123))
% 0.43/0.67  (define @t128 () (* -1 @t123))
% 0.43/0.67  (define @t129 () (+ @t91 @t128))
% 0.43/0.67  (define @t130 () (+ @t129 1))
% 0.43/0.67  (define @t131 () (+ @t123 @t92))
% 0.43/0.67  (define @t132 () (>= @t131 0))
% 0.43/0.67  (define @t133 () (>= @t123 0))
% 0.43/0.67  (define @t134 () (not @t133))
% 0.43/0.67  (define @t135 () (or @t134 @t132))
% 0.43/0.67  (define @t136 () (and @t135 @t126))
% 0.43/0.67  (define @t137 () (+ -1 @t91 @t128))
% 0.43/0.67  (define @t138 () (+ -1 @t128 @t91))
% 0.43/0.67  (define @t139 () (tptp.read @t89 @t138))
% 0.43/0.67  (define @t140 () (= @t125 @t139))
% 0.43/0.67  (define @t141 () (>= @t129 1))
% 0.43/0.67  (define @t142 () (not @t132))
% 0.43/0.67  (define @t143 () (and @t133 @t142 @t140))
% 0.43/0.67  (define @t144 () (or @t143 @t136))
% 0.43/0.67  (define @t145 () (@list @t123))
% 0.43/0.67  (define @t146 () (not @t141))
% 0.43/0.67  (define @t147 () (or @t134 @t146))
% 0.43/0.67  (define @t148 () (and @t147 @t126))
% 0.43/0.67  (define @t149 () (tptp.read @t89 @t137))
% 0.43/0.67  (define @t150 () (= @t125 @t149))
% 0.43/0.67  (define @t151 () (and @t133 @t141 @t150))
% 0.43/0.67  (define @t152 () (or @t151 @t148))
% 0.43/0.67  (define @t153 () (tptp.read @t68 @t123))
% 0.43/0.67  (define @t154 () (= @t153 @t149))
% 0.43/0.67  (define @t155 () (and @t133 @t141 @t154))
% 0.43/0.67  (define @t156 () (not @t155))
% 0.43/0.67  (define @t157 () (not @t148))
% 0.43/0.67  (define @t158 () (not @t151))
% 0.43/0.67  (define @t159 () (not @t150))
% 0.43/0.67  (define @t160 () (not @t154))
% 0.43/0.67  (define @t161 () (= @t125 @t153))
% 0.43/0.67  (define @t162 () (not @t161))
% 0.43/0.67  (define @t163 () (not @t162))
% 0.43/0.67  (define @t164 () (and @t162 @t154))
% 0.43/0.67  (define @t165 () (= @t153 @t124))
% 0.43/0.67  (define @t166 () (= @t124 @t153))
% 0.43/0.67  (define @t167 () (and @t135 @t166))
% 0.43/0.67  (define @t168 () (= @t139 @t153))
% 0.43/0.67  (define @t169 () (and @t133 @t142 @t168))
% 0.43/0.67  (define @t170 () (or @t169 @t167))
% 0.43/0.67  (define @t171 () (and @t147 @t165))
% 0.43/0.67  (define @t172 () (or @t155 @t171))
% 0.43/0.67  (define @t173 () (not @t171))
% 0.43/0.67  (define @t174 () (not @t126))
% 0.43/0.67  (define @t175 () (not @t165))
% 0.43/0.67  (define @t176 () (and @t162 @t165))
% 0.43/0.67  (define @t177 () (@list @t133))
% 0.43/0.67  (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.read @t4 @t2) @t1)))
% 0.43/0.67  (assume @p2 (forall (@list @t3 @t2 @t5 @t1) (or @t7 (= (tptp.read @t4 @t5) @t6))))
% 0.43/0.67  (assume @p3 @t15)
% 0.43/0.67  (assume @p4 (forall (@list @t1 @t2) (= (tptp.read (tptp.init @t1) @t2) @t1)))
% 0.43/0.67  (assume @p5 (forall (@list @t3 @t17 @t16) (=> (and (forall @t12 (=> @t20 (<= @t11 @t16))) (exists @t12 (and @t19 @t18 (= @t11 @t16)))) (= (tptp.max @t3 @t17) @t16))))
% 0.43/0.67  (assume @p6 (forall @t23 (= (tptp.sorted @t3 @t17) (forall @t22 (=> (and @t21 (< @t2 @t17) (< @t2 @t5) (< @t5 @t17)) (<= @t11 @t6))))))
% 0.43/0.67  (assume @p7 (forall (@list @t3 @t24 @t17) (= (tptp.inRange @t3 @t24 @t17) (forall @t12 (=> @t20 (and (>= @t24 @t11) (>= @t11 0)))))))
% 0.43/0.67  (assume @p8 (forall @t23 (= (tptp.distinct @t3 @t17) (forall @t22 (=> (and @t19 (> @t17 @t5) (>= @t5 0) @t18) (=> (= @t11 @t6) @t7))))))
% 0.43/0.67  (assume @p9 (forall (@list @t3 @t8 @t17) (=> (forall @t12 (or (and @t18 @t19 (= @t10 @t29)) (and @t26 (= @t10 @t11)))) (= (tptp.rev @t3 @t17) @t8))))
% 0.43/0.67  (assume @p10 @t51)
% 0.43/0.67  (assume @p11 true)
% 0.43/0.67  (step @p12 :rule bool-impl-elim :args (@t13 @t9))
% 0.43/0.67  (step @p13 :rule cong :premises (@p12) :args (@t15))
% 0.43/0.67  (step @p14 :rule eq_resolve :premises (@p3 @p13))
% 0.43/0.67  (step @p15 :rule eq-symm :args (@t68 @t69))
% 0.43/0.67  (step @p16 :rule arith_poly_norm :args ((= (* 1 (- @t70 @t71)) (* -1 (- @t71 @t70)))))
% 0.43/0.67  (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t73 @t72)))
% 0.43/0.67  (step @p18 :rule cong :premises (@p17) :args (@t74))
% 0.43/0.67  (step @p19 :rule cong :premises (@p18) :args (@t75))
% 0.43/0.67  (step @p20 :rule nary_cong :premises (@p19 @p15) :args (@t76))
% 0.43/0.67  (step @p21 :rule refl :args (@t77))
% 0.43/0.67  (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t77 @t76)))
% 0.43/0.67  (assume-push @p283 @t77)
% 0.43/0.67  (step @p24 :rule instantiate :premises (@p14) :args ((@list @t68 @t69)))
% 0.43/0.67  (step-pop @p284 :rule scope :premises (@p24))
% 0.43/0.67  (step @p25 :rule process_scope :premises (@p284) :args (@t76))
% 0.43/0.67  (step @p27 :rule eq_resolve :premises (@p25 @p22))
% 0.43/0.67  (step @p28 :rule implies_elim :premises (@p27))
% 0.43/0.67  (step @p29 :rule chain_m_resolution :premises (@p28 @p14) :args (@t81 @t82 (@list @t77)))
% 0.43/0.67  (step @p30 :rule aci_norm :args ((= (or (or @t65 @t62) @t32) @t66)))
% 0.43/0.67  (step @p31 :rule refl :args (@t32))
% 0.43/0.67  (step @p32 :rule bool-and-de-morgan :args (@t64 @t61 true))
% 0.43/0.67  (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t83) @t32)))
% 0.43/0.67  (step @p34 :rule trans :premises (@p33 @p30))
% 0.43/0.67  (step @p35 :rule bool-impl-elim :args (@t83 @t32))
% 0.43/0.67  (step @p36 :rule trans :premises (@p35 @p34))
% 0.43/0.67  (step @p37 :rule cong :premises (@p36) :args ((forall @t49 (=> @t83 @t32))))
% 0.43/0.67  (step @p38 :rule refl :args (@t32))
% 0.43/0.67  (step @p39 :rule arith_poly_norm :args ((= (* 1 (- @t33 @t11)) (* -1 (- @t11 @t33)))))
% 0.43/0.67  (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t34 @t52)))
% 0.43/0.67  (step @p41 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t17)) (* 1 (- @t53 0)))))
% 0.43/0.67  (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args (@t84))
% 0.43/0.67  (step @p43 :rule arith-elim-leq :args (0 @t2))
% 0.43/0.67  (step @p44 :rule cong :premises (@p43) :args ((not @t21)))
% 0.43/0.67  (step @p45 :rule arith-elim-leq :args (0 @t2))
% 0.43/0.67  (step @p46 :rule symm :premises (@p45))
% 0.43/0.67  (step @p47 :rule cong :premises (@p46) :args (@t55))
% 0.43/0.67  (step @p48 :rule arith-elim-gt :args (0 @t2))
% 0.43/0.67  (step @p49 :rule trans :premises (@p48 @p47))
% 0.43/0.67  (step @p50 :rule trans :premises (@p49 @p44))
% 0.43/0.67  (step @p51 :rule nary_cong :premises (@p50 @p42) :args (@t26))
% 0.43/0.67  (step @p52 :rule nary_cong :premises (@p51 @p40) :args (@t35))
% 0.43/0.67  (step @p53 :rule arith_poly_norm :args ((= (+ @t17 @t85) @t58)))
% 0.43/0.67  (step @p54 :rule arith_poly_norm :args ((= (* -1 @t86) @t85)))
% 0.43/0.67  (step @p55 :rule arith_poly_norm :args ((= @t27 @t86)))
% 0.43/0.67  (step @p56 :rule refl :args (-1))
% 0.43/0.67  (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t87))
% 0.43/0.67  (step @p58 :rule trans :premises (@p57 @p54))
% 0.43/0.67  (step @p59 :rule refl :args (@t17))
% 0.43/0.67  (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t88))
% 0.43/0.67  (step @p61 :rule trans :premises (@p60 @p53))
% 0.43/0.67  (step @p62 :rule arith_poly_norm :args ((= @t28 @t88)))
% 0.43/0.67  (step @p63 :rule trans :premises (@p62 @p61))
% 0.43/0.67  (step @p64 :rule refl :args (@t3))
% 0.43/0.67  (step @p65 :rule cong :premises (@p64 @p63) :args (@t29))
% 0.43/0.67  (step @p66 :rule refl :args (@t33))
% 0.43/0.67  (step @p67 :rule cong :premises (@p66 @p65) :args (@t36))
% 0.43/0.67  (step @p68 :rule arith_poly_norm_rel :premises (@p41) :args (@t84))
% 0.43/0.67  (step @p69 :rule arith-elim-leq :args (@t17 @t2))
% 0.43/0.67  (step @p70 :rule trans :premises (@p69 @p68))
% 0.43/0.67  (step @p71 :rule cong :premises (@p70) :args ((not (<= @t17 @t2))))
% 0.43/0.67  (step @p72 :rule symm :premises (@p69))
% 0.43/0.67  (step @p73 :rule cong :premises (@p72) :args ((not @t25)))
% 0.43/0.67  (step @p74 :rule arith-elim-gt :args (@t17 @t2))
% 0.43/0.67  (step @p75 :rule trans :premises (@p74 @p73))
% 0.43/0.67  (step @p76 :rule trans :premises (@p75 @p71))
% 0.43/0.67  (step @p77 :rule refl :args (@t18))
% 0.43/0.67  (step @p78 :rule nary_cong :premises (@p77 @p76 @p67) :args (@t37))
% 0.43/0.67  (step @p79 :rule nary_cong :premises (@p78 @p52) :args (@t38))
% 0.43/0.67  (step @p80 :rule cong :premises (@p79) :args (@t39))
% 0.43/0.67  (step @p81 :rule arith_poly_norm :args ((= (* 1 (- @t40 @t11)) (* -1 (- @t11 @t40)))))
% 0.43/0.67  (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t41 @t63)))
% 0.43/0.67  (step @p83 :rule nary_cong :premises (@p51 @p82) :args (@t42))
% 0.43/0.67  (step @p84 :rule refl :args (@t40))
% 0.43/0.67  (step @p85 :rule cong :premises (@p84 @p65) :args (@t43))
% 0.43/0.67  (step @p86 :rule nary_cong :premises (@p77 @p76 @p85) :args (@t44))
% 0.43/0.67  (step @p87 :rule nary_cong :premises (@p86 @p83) :args (@t45))
% 0.43/0.67  (step @p88 :rule cong :premises (@p87) :args (@t46))
% 0.43/0.67  (step @p89 :rule nary_cong :premises (@p88 @p80) :args (@t47))
% 0.43/0.67  (step @p90 :rule cong :premises (@p89 @p38) :args (@t48))
% 0.43/0.67  (step @p91 :rule cong :premises (@p90) :args (@t50))
% 0.43/0.67  (step @p92 :rule trans :premises (@p91 @p37))
% 0.43/0.67  (step @p93 :rule cong :premises (@p92) :args (@t51))
% 0.43/0.67  (step @p94 :rule eq_resolve :premises (@p10 @p93))
% 0.43/0.67  (step @p95 :rule refl :args (@t106))
% 0.43/0.67  (step @p96 :rule bool-double-not-elim :args (@t67))
% 0.43/0.67  (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t107) @t106)))
% 0.43/0.67  (step @p98 :rule refl :args (@t78))
% 0.43/0.67  (step @p99 :rule refl :args (@t95))
% 0.43/0.67  (step @p100 :rule arith_poly_norm :args ((= (* 1 (- @t70 @t96)) (* -1 (- @t96 @t70)))))
% 0.43/0.67  (step @p101 :rule arith_poly_norm_rel :premises (@p100) :args ((= @t108 @t97)))
% 0.43/0.67  (step @p102 :rule refl :args (@t98))
% 0.43/0.67  (step @p103 :rule nary_cong :premises (@p77 @p102 @p101) :args (@t109))
% 0.43/0.67  (step @p104 :rule nary_cong :premises (@p103 @p99) :args (@t110))
% 0.43/0.67  (step @p105 :rule cong :premises (@p104) :args (@t111))
% 0.43/0.67  (step @p106 :rule cong :premises (@p105) :args (@t112))
% 0.43/0.67  (step @p107 :rule arith_poly_norm :args ((= (* 1 (- @t90 @t71)) (* -1 (- @t71 @t90)))))
% 0.43/0.67  (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= @t113 @t101)))
% 0.43/0.67  (step @p109 :rule refl :args (@t94))
% 0.43/0.67  (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t114))
% 0.43/0.67  (step @p111 :rule refl :args (@t102))
% 0.43/0.67  (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t115))
% 0.43/0.67  (step @p113 :rule cong :premises (@p112) :args (@t116))
% 0.43/0.67  (step @p114 :rule cong :premises (@p113) :args (@t117))
% 0.43/0.67  (step @p115 :rule nary_cong :premises (@p114 @p106 @p98) :args (@t118))
% 0.43/0.67  (step @p116 :rule cong :premises (@p115) :args (@t119))
% 0.43/0.67  (step @p117 :rule refl :args (@t107))
% 0.43/0.67  (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t107 @t119)))
% 0.43/0.67  (assume-push @p285 @t107)
% 0.43/0.67  (step @p120 :rule skolemize :premises (@p94))
% 0.43/0.67  (step-pop @p286 :rule scope :premises (@p120))
% 0.43/0.67  (step @p121 :rule process_scope :premises (@p286) :args (@t119))
% 0.43/0.67  (step @p123 :rule eq_resolve :premises (@p121 @p118))
% 0.43/0.67  (step @p124 :rule implies_elim :premises (@p123))
% 0.43/0.67  (step @p125 :rule eq_resolve :premises (@p124 @p97))
% 0.43/0.67  (step @p126 :rule chain_m_resolution :premises (@p125 @p94) :args (@t106 @t120 (@list @t67)))
% 0.43/0.67  (step @p127 :rule cnf_or_neg :args (@t105 2))
% 0.43/0.67  (step @p128 :rule chain_m_resolution :premises (@p127 @p126) :args ((not @t78) @t120 @t121))
% 0.43/0.67  (step @p129 :rule cnf_or_pos :args (@t81))
% 0.43/0.67  (step @p130 :rule reordering :premises (@p129) :args ((or @t78 @t80 (not @t81))))
% 0.43/0.67  (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p29) :args (@t80 @t122 (@list @t78 @t81)))
% 0.43/0.67  (step @p132 :rule skolemize :premises (@p131))
% 0.43/0.67  (step @p133 :rule bool-double-not-elim :args (@t103))
% 0.43/0.67  (step @p134 :rule refl :args (@t105))
% 0.43/0.67  (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t105 (not @t104))))
% 0.43/0.67  (step @p136 :rule cnf_or_neg :args (@t105 0))
% 0.43/0.67  (step @p137 :rule eq_resolve :premises (@p136 @p135))
% 0.43/0.67  (step @p138 :rule reordering :premises (@p137) :args ((or @t103 @t105)))
% 0.43/0.67  (step @p139 :rule chain_m_resolution :premises (@p138 @p126) :args (@t103 @t120 @t121))
% 0.43/0.67  (step @p140 :rule refl :args (@t126))
% 0.43/0.67  (step @p141 :rule arith_poly_norm :args ((= (* -1 (- 1 @t130)) (* -1 (- @t127 0)))))
% 0.43/0.67  (step @p142 :rule arith_poly_norm_rel :premises (@p141) :args ((= (>= 1 @t130) (>= @t127 0))))
% 0.43/0.67  (step @p143 :rule arith-geq-tighten :args (@t129 1))
% 0.43/0.67  (step @p144 :rule trans :premises (@p143 @p142))
% 0.43/0.67  (step @p145 :rule symm :premises (@p144))
% 0.43/0.67  (step @p146 :rule refl :args (0))
% 0.43/0.67  (step @p147 :rule arith_poly_norm :args ((= @t131 @t127)))
% 0.43/0.67  (step @p148 :rule cong :premises (@p147 @p146) :args (@t132))
% 0.43/0.67  (step @p149 :rule trans :premises (@p148 @p145))
% 0.43/0.67  (step @p150 :rule refl :args (@t134))
% 0.43/0.67  (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t135))
% 0.43/0.67  (step @p152 :rule nary_cong :premises (@p151 @p140) :args (@t136))
% 0.43/0.67  (step @p153 :rule arith_poly_norm :args ((= @t138 @t137)))
% 0.43/0.67  (step @p154 :rule refl :args (@t89))
% 0.43/0.67  (step @p155 :rule cong :premises (@p154 @p153) :args (@t139))
% 0.43/0.67  (step @p156 :rule refl :args (@t125))
% 0.43/0.67  (step @p157 :rule cong :premises (@p156 @p155) :args (@t140))
% 0.43/0.67  (step @p158 :rule bool-double-not-elim :args (@t141))
% 0.43/0.67  (step @p159 :rule cong :premises (@p149) :args (@t142))
% 0.43/0.67  (step @p160 :rule trans :premises (@p159 @p158))
% 0.43/0.67  (step @p161 :rule refl :args (@t133))
% 0.43/0.67  (step @p162 :rule nary_cong :premises (@p161 @p160 @p157) :args (@t143))
% 0.43/0.67  (step @p163 :rule nary_cong :premises (@p162 @p152) :args (@t144))
% 0.43/0.67  (step @p164 :rule refl :args (@t103))
% 0.43/0.67  (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t103 @t144)))
% 0.43/0.67  (assume-push @p287 @t103)
% 0.43/0.67  (step @p167 :rule instantiate :premises (@p139) :args (@t145))
% 0.43/0.67  (step-pop @p288 :rule scope :premises (@p167))
% 0.43/0.67  (step @p168 :rule process_scope :premises (@p288) :args (@t144))
% 0.43/0.67  (step @p170 :rule eq_resolve :premises (@p168 @p165))
% 0.43/0.67  (step @p171 :rule implies_elim :premises (@p170))
% 0.43/0.67  (step @p172 :rule chain_m_resolution :premises (@p171 @p139) :args (@t152 @t82 (@list @t103)))
% 0.43/0.67  (step @p173 :rule cnf_and_pos :args (@t155 1))
% 0.43/0.67  (step @p174 :rule reordering :premises (@p173) :args ((or @t141 @t156)))
% 0.43/0.67  (step @p175 :rule cnf_and_pos :args (@t155 2))
% 0.43/0.67  (step @p176 :rule reordering :premises (@p175) :args ((or @t154 @t156)))
% 0.43/0.67  (step @p177 :rule cnf_or_pos :args (@t147))
% 0.43/0.67  (step @p178 :rule reordering :premises (@p177) :args ((or @t134 @t146 (not @t147))))
% 0.43/0.67  (step @p179 :rule cnf_and_pos :args (@t148 0))
% 0.43/0.67  (step @p180 :rule reordering :premises (@p179) :args ((or @t147 @t157)))
% 0.43/0.67  (step @p181 :rule cnf_or_pos :args (@t152))
% 0.43/0.67  (step @p182 :rule reordering :premises (@p181) :args ((or @t151 @t148 (not @t152))))
% 0.43/0.67  (step @p183 :rule cnf_and_pos :args (@t151 2))
% 0.43/0.67  (step @p184 :rule reordering :premises (@p183) :args ((or @t150 @t158)))
% 0.43/0.67  (step @p185 :rule refl :args (@t159))
% 0.43/0.67  (step @p186 :rule refl :args (@t160))
% 0.43/0.67  (step @p187 :rule bool-double-not-elim :args (@t161))
% 0.43/0.67  (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args ((or @t163 @t160 @t159)))
% 0.43/0.67  (assume-push @p289 @t162)
% 0.43/0.67  (assume-push @p290 @t154)
% 0.43/0.67  (assume-push @p291 @t162)
% 0.43/0.67  (assume-push @p292 @t154)
% 0.43/0.67  (step @p193 :rule false_intro :premises (@p132))
% 0.43/0.67  (step @p194 :rule symm :premises (@p290))
% 0.43/0.67  (step @p195 :rule cong :premises (@p156 @p194) :args (@t150))
% 0.43/0.67  (step @p196 :rule trans :premises (@p195 @p193))
% 0.43/0.67  (step @p197 :rule false_elim :premises (@p196))
% 0.43/0.67  (step-pop @p293 :rule scope :premises (@p197))
% 0.43/0.67  (step-pop @p294 :rule scope :premises (@p293))
% 0.43/0.67  (step @p198 :rule process_scope :premises (@p294) :args (@t159))
% 0.43/0.67  (step @p201 :rule and_intro :premises (@p132 @p290))
% 0.43/0.67  (step @p202 :rule modus_ponens :premises (@p201 @p198))
% 0.43/0.67  (step-pop @p295 :rule scope :premises (@p202))
% 0.43/0.67  (step-pop @p296 :rule scope :premises (@p295))
% 0.43/0.67  (step @p203 :rule process_scope :premises (@p296) :args (@t159))
% 0.43/0.67  (step @p206 :rule implies_elim :premises (@p203))
% 0.43/0.67  (step @p207 :rule cnf_and_neg :args (@t164))
% 0.43/0.67  (step @p208 :rule resolution :premises (@p207 @p206) :args (true @t164))
% 0.43/0.67  (step @p209 :rule eq_resolve :premises (@p208 @p188))
% 0.43/0.67  (step @p210 :rule reordering :premises (@p209) :args ((or @t161 @t159 @t160)))
% 0.43/0.67  (step @p211 :rule chain_m_resolution :premises (@p210 @p132 @p184 @p182 @p172 @p180 @p178 @p176 @p174) :args ((or @t134 @t156) (@list true false false false true true false false) (@list @t161 @t150 @t151 @t152 @t148 @t147 @t154 @t141)))
% 0.43/0.67  (step @p212 :rule bool-double-not-elim :args (@t99))
% 0.43/0.67  (step @p213 :rule nary_cong :premises (@p134 @p212) :args ((or @t105 (not @t100))))
% 0.43/0.67  (step @p214 :rule cnf_or_neg :args (@t105 1))
% 0.43/0.67  (step @p215 :rule eq_resolve :premises (@p214 @p213))
% 0.43/0.67  (step @p216 :rule reordering :premises (@p215) :args ((or @t99 @t105)))
% 0.43/0.67  (step @p217 :rule chain_m_resolution :premises (@p216 @p126) :args (@t99 @t120 @t121))
% 0.43/0.67  (step @p218 :rule arith_poly_norm :args ((= (* 1 (- @t124 @t153)) (* -1 (- @t153 @t124)))))
% 0.43/0.67  (step @p219 :rule arith_poly_norm_rel :premises (@p218) :args ((= @t166 @t165)))
% 0.43/0.67  (step @p220 :rule nary_cong :premises (@p151 @p219) :args (@t167))
% 0.43/0.67  (step @p221 :rule arith_poly_norm :args ((= (* 1 (- @t149 @t153)) (* -1 (- @t153 @t149)))))
% 0.43/0.67  (step @p222 :rule arith_poly_norm_rel :premises (@p221) :args ((= (= @t149 @t153) @t154)))
% 0.43/0.67  (step @p223 :rule refl :args (@t153))
% 0.43/0.67  (step @p224 :rule cong :premises (@p155 @p223) :args (@t168))
% 0.43/0.67  (step @p225 :rule trans :premises (@p224 @p222))
% 0.43/0.67  (step @p226 :rule nary_cong :premises (@p161 @p160 @p225) :args (@t169))
% 0.43/0.67  (step @p227 :rule nary_cong :premises (@p226 @p220) :args (@t170))
% 0.43/0.67  (step @p228 :rule refl :args (@t99))
% 0.43/0.67  (step @p229 :rule cong :premises (@p228 @p227) :args ((=> @t99 @t170)))
% 0.43/0.67  (assume-push @p297 @t99)
% 0.43/0.67  (step @p231 :rule instantiate :premises (@p217) :args (@t145))
% 0.43/0.67  (step-pop @p298 :rule scope :premises (@p231))
% 0.43/0.67  (step @p232 :rule process_scope :premises (@p298) :args (@t170))
% 0.43/0.67  (step @p234 :rule eq_resolve :premises (@p232 @p229))
% 0.43/0.67  (step @p235 :rule implies_elim :premises (@p234))
% 0.43/0.67  (step @p236 :rule chain_m_resolution :premises (@p235 @p217) :args (@t172 @t82 (@list @t99)))
% 0.43/0.67  (step @p237 :rule cnf_or_pos :args (@t172))
% 0.43/0.67  (step @p238 :rule reordering :premises (@p237) :args ((or @t155 @t171 (not @t172))))
% 0.43/0.67  (step @p239 :rule cnf_and_pos :args (@t171 0))
% 0.43/0.67  (step @p240 :rule reordering :premises (@p239) :args ((or @t147 @t173)))
% 0.43/0.67  (step @p241 :rule cnf_and_pos :args (@t171 1))
% 0.43/0.67  (step @p242 :rule reordering :premises (@p241) :args ((or @t165 @t173)))
% 0.43/0.67  (step @p243 :rule cnf_and_pos :args (@t151 1))
% 0.43/0.67  (step @p244 :rule reordering :premises (@p243) :args ((or @t141 @t158)))
% 0.43/0.67  (step @p245 :rule cnf_and_pos :args (@t148 1))
% 0.43/0.67  (step @p246 :rule reordering :premises (@p245) :args ((or @t126 @t157)))
% 0.43/0.67  (step @p247 :rule refl :args (@t174))
% 0.43/0.67  (step @p248 :rule refl :args (@t175))
% 0.43/0.67  (step @p249 :rule nary_cong :premises (@p187 @p248 @p247) :args ((or @t163 @t175 @t174)))
% 0.43/0.67  (assume-push @p299 @t162)
% 0.43/0.67  (assume-push @p300 @t165)
% 0.43/0.67  (assume-push @p301 @t162)
% 0.43/0.67  (assume-push @p302 @t165)
% 0.43/0.67  (step @p193 :rule false_intro :premises (@p132))
% 0.43/0.67  (step @p254 :rule symm :premises (@p300))
% 0.43/0.67  (step @p255 :rule cong :premises (@p156 @p254) :args (@t126))
% 0.43/0.67  (step @p256 :rule trans :premises (@p255 @p193))
% 0.43/0.67  (step @p257 :rule false_elim :premises (@p256))
% 0.43/0.67  (step-pop @p303 :rule scope :premises (@p257))
% 0.43/0.67  (step-pop @p304 :rule scope :premises (@p303))
% 0.43/0.67  (step @p258 :rule process_scope :premises (@p304) :args (@t174))
% 0.43/0.67  (step @p261 :rule and_intro :premises (@p132 @p300))
% 0.43/0.67  (step @p262 :rule modus_ponens :premises (@p261 @p258))
% 0.43/0.67  (step-pop @p305 :rule scope :premises (@p262))
% 0.43/0.67  (step-pop @p306 :rule scope :premises (@p305))
% 0.43/0.67  (step @p263 :rule process_scope :premises (@p306) :args (@t174))
% 0.43/0.67  (step @p266 :rule implies_elim :premises (@p263))
% 0.43/0.67  (step @p267 :rule cnf_and_neg :args (@t176))
% 0.43/0.67  (step @p268 :rule resolution :premises (@p267 @p266) :args (true @t176))
% 0.43/0.67  (step @p269 :rule eq_resolve :premises (@p268 @p249))
% 0.43/0.67  (step @p270 :rule reordering :premises (@p269) :args ((or @t161 @t174 @t175)))
% 0.43/0.67  (step @p271 :rule chain_m_resolution :premises (@p270 @p132 @p246 @p182 @p172 @p244 @p178 @p242 @p240 @p238 @p236 @p211) :args (@t134 (@list true false false false true true false false false false true) (@list @t161 @t126 @t148 @t152 @t151 @t141 @t165 @t147 @t171 @t172 @t155)))
% 0.43/0.67  (step @p272 :rule cnf_and_pos :args (@t151 0))
% 0.43/0.67  (step @p273 :rule reordering :premises (@p272) :args ((or @t133 @t158)))
% 0.43/0.67  (step @p274 :rule chain_m_resolution :premises (@p273 @p271) :args (@t158 @t120 @t177))
% 0.43/0.67  (step @p275 :rule chain_m_resolution :premises (@p182 @p274 @p172) :args (@t148 @t122 (@list @t151 @t152)))
% 0.43/0.67  (step @p276 :rule chain_m_resolution :premises (@p246 @p275) :args (@t126 @t82 (@list @t148)))
% 0.43/0.67  (step @p277 :rule cnf_and_pos :args (@t155 0))
% 0.43/0.67  (step @p278 :rule reordering :premises (@p277) :args ((or @t133 @t156)))
% 0.43/0.67  (step @p279 :rule chain_m_resolution :premises (@p278 @p271) :args (@t156 @t120 @t177))
% 0.43/0.67  (step @p280 :rule chain_m_resolution :premises (@p238 @p279 @p236) :args (@t171 @t122 (@list @t155 @t172)))
% 0.43/0.67  (step @p281 :rule chain_m_resolution :premises (@p242 @p280) :args (@t165 @t82 (@list @t171)))
% 0.43/0.67  (step @p282 false :rule chain_m_resolution :premises (@p270 @p281 @p276 @p132) :args (false (@list false false true) (@list @t165 @t126 @t161)))
% 0.43/0.67  )
% 0.43/0.67  % SZS output end Proof
% 0.43/0.67  % cvc5 exiting
%------------------------------------------------------------------------------