0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM
0.12/0.34	% Computer : n029.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Fri Sep  5 12:25:07 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.49	%----Proving TF0_ARI
0.49/0.69	--- Run --finite-model-find --decision=internal at 18...
0.49/0.69	% SZS status Theorem
0.49/0.69	% SZS output start Proof
0.49/0.69	(
0.49/0.69	(declare-type tptp.bool1 ())
0.49/0.69	(declare-type tptp.uf1 ())
0.49/0.69	(declare-type tptp.tuple02 ())
0.49/0.69	(declare-type tptp.ty ())
0.49/0.69	(declare-type tptp.graph1 ())
0.49/0.69	(declare-type tptp.uni ())
0.49/0.69	(declare-type tptp.uf_pure1 ())
0.49/0.69	(declare-const tptp.true1 tptp.bool1)
0.49/0.69	(declare-const tptp.false1 tptp.bool1)
0.49/0.69	(declare-const tptp.ref (-> tptp.ty tptp.ty))
0.49/0.69	(declare-const tptp.same1 (-> tptp.uf_pure1 Int Int Bool))
0.49/0.69	(declare-const tptp.size1 (-> tptp.uf_pure1 Int))
0.49/0.69	(declare-const tptp.num1 (-> tptp.uf_pure1 Int))
0.49/0.69	(declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni))
0.49/0.69	(declare-const tptp.path1 (-> tptp.graph1 Int Int Bool))
0.49/0.69	(declare-const tptp.tuple03 tptp.tuple02)
0.49/0.69	(declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni))
0.49/0.69	(declare-const tptp.state1 (-> tptp.uf1 tptp.uf_pure1))
0.49/0.69	(declare-const tptp.mk_uf1 (-> tptp.uf_pure1 tptp.uf1))
0.49/0.69	(declare-const tptp.repr1 (-> tptp.uf_pure1 Int Int Bool))
0.49/0.69	(declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool))
0.49/0.69	(declare-const tptp.same_reprs1 (-> tptp.uf_pure1 tptp.uf_pure1 Bool))
0.49/0.69	(declare-const tptp.witness1 (-> tptp.ty tptp.uni))
0.49/0.69	(declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni))
0.49/0.69	(define @t1 () (@var "Y" Int))
0.49/0.69	(define @t2 () (@var "X" Int))
0.49/0.69	(define @t3 () (@var "U" tptp.uf_pure1))
0.49/0.69	(define @t4 () (tptp.same1 @t3 @t2 @t1))
0.49/0.69	(define @t5 () (tptp.size1 @t3))
0.49/0.69	(define @t6 () (< @t1 @t5))
0.49/0.69	(define @t7 () (<= 0 @t1))
0.49/0.69	(define @t8 () (< @t2 @t5))
0.49/0.69	(define @t9 () (<= 0 @t2))
0.49/0.69	(define @t10 () (and @t9 @t8))
0.49/0.69	(define @t11 () (@list @t3))
0.49/0.69	(define @t12 () (@var "X" tptp.uni))
0.49/0.69	(define @t13 () (@var "A" tptp.ty))
0.49/0.69	(define @t14 () (@list @t13 @t12))
0.49/0.69	(define @t15 () (@var "N" Int))
0.49/0.69	(define @t16 () (* @t15 @t15))
0.49/0.69	(define @t17 () (* @t2 @t15))
0.49/0.69	(define @t18 () (+ @t17 @t1))
0.49/0.69	(define @t19 () (and @t7 (< @t1 @t15)))
0.49/0.69	(define @t20 () (=> @t19 (< @t18 @t16)))
0.49/0.69	(define @t21 () (and @t9 (< @t2 @t15)))
0.49/0.69	(define @t22 () (=> @t21 @t20))
0.49/0.69	(define @t23 () (=> (<= 0 @t15) @t22))
0.49/0.69	(define @t24 () (@list @t15 @t2 @t1))
0.49/0.69	(define @t25 () (forall @t24 @t23))
0.49/0.69	(define @t26 () (not @t25))
0.49/0.69	(define @t27 () (@var "Z" Int))
0.49/0.69	(define @t28 () (@var "G" tptp.graph1))
0.49/0.69	(define @t29 () (tptp.path1 @t28 @t2 @t1))
0.49/0.69	(define @t30 () (@var "U" tptp.uf1))
0.49/0.69	(define @t31 () (@var "R" Int))
0.49/0.69	(define @t32 () (@var "U1" tptp.uf_pure1))
0.49/0.69	(define @t33 () (@var "U2" tptp.uf_pure1))
0.49/0.69	(define @t34 () (@var "U" tptp.tuple02))
0.49/0.69	(define @t35 () (@var "U" tptp.uni))
0.49/0.69	(define @t36 () (tptp.ref @t13))
0.49/0.69	(define @t37 () (@list @t13 @t35))
0.49/0.69	(define @t38 () (tptp.repr1 @t3 @t2 @t1))
0.49/0.69	(define @t39 () (@var "Z1" tptp.uni))
0.49/0.69	(define @t40 () (@var "Z" tptp.uni))
0.49/0.69	(define @t41 () (@list @t13 @t40 @t39))
0.49/0.69	(define @t42 () (@var "X2" tptp.uni))
0.49/0.69	(define @t43 () (@var "X1" tptp.uni))
0.49/0.69	(define @t44 () (@var "X" tptp.bool1))
0.49/0.69	(define @t45 () (@list @t28 @t2))
0.49/0.69	(define @t46 () (@var "U" tptp.bool1))
0.49/0.69	(define @t47 () (@var "Z1" Int))
0.49/0.69	(define @t48 () (= @t47 @t2))
0.49/0.69	(define @t49 () (@var "Z2" Int))
0.49/0.69	(define @t50 () (= @t49 @t2))
0.49/0.69	(define @t51 () (@var "Z" tptp.graph1))
0.49/0.69	(define @t52 () (= @t51 @t28))
0.49/0.69	(define @t53 () (@list @t28 @t2 @t1))
0.49/0.69	(define @t54 () (@var "Z3" Int))
0.49/0.69	(define @t55 () (* @t15 @t15))
0.49/0.69	(define @t56 () (* @t2 @t15))
0.49/0.69	(define @t57 () (+ @t1 @t56 (* -1 @t55)))
0.49/0.69	(define @t58 () (>= @t57 0))
0.49/0.69	(define @t59 () (not @t58))
0.49/0.69	(define @t60 () (* -1 @t15))
0.49/0.69	(define @t61 () (+ @t1 @t60))
0.49/0.69	(define @t62 () (>= @t61 0))
0.49/0.69	(define @t63 () (>= @t1 0))
0.49/0.69	(define @t64 () (not @t63))
0.49/0.69	(define @t65 () (+ @t2 @t60))
0.49/0.69	(define @t66 () (>= @t65 0))
0.49/0.69	(define @t67 () (>= @t2 0))
0.49/0.69	(define @t68 () (not @t67))
0.49/0.69	(define @t69 () (>= @t15 0))
0.49/0.69	(define @t70 () (not @t69))
0.49/0.69	(define @t71 () (or @t70 @t68 @t66 @t64 @t62 @t59))
0.49/0.69	(define @t72 () (or @t68 @t66 @t64 @t62 @t59))
0.49/0.69	(define @t73 () (or @t64 @t62 @t59))
0.49/0.69	(define @t74 () (not @t62))
0.49/0.69	(define @t75 () (and @t63 @t74))
0.49/0.69	(define @t76 () (not @t66))
0.49/0.69	(define @t77 () (=> @t75 @t59))
0.49/0.69	(define @t78 () (and @t67 @t76))
0.49/0.69	(define @t79 () (=> @t78 @t77))
0.49/0.69	(define @t80 () (+ @t1 @t56))
0.49/0.69	(define @t81 () (>= @t18 @t16))
0.49/0.69	(define @t82 () (>= @t1 @t15))
0.49/0.69	(define @t83 () (>= @t2 @t15))
0.49/0.69	(define @t84 () (forall @t24 @t71))
0.49/0.69	(define @t85 () (@quantifiers_skolemize @t84 1))
0.49/0.69	(define @t86 () (@quantifiers_skolemize @t84 0))
0.49/0.69	(define @t87 () (* @t86 @t85))
0.49/0.69	(define @t88 () (* @t86 @t86))
0.49/0.69	(define @t89 () (* -1 @t88))
0.49/0.69	(define @t90 () (@quantifiers_skolemize @t84 2))
0.49/0.69	(define @t91 () (+ @t90 @t89 @t87))
0.49/0.69	(define @t92 () (>= @t91 0))
0.49/0.69	(define @t93 () (not @t92))
0.49/0.69	(define @t94 () (* -1 @t90))
0.49/0.69	(define @t95 () (+ @t86 @t94))
0.49/0.69	(define @t96 () (>= @t95 1))
0.49/0.69	(define @t97 () (not @t96))
0.49/0.69	(define @t98 () (not (>= @t90 0)))
0.49/0.69	(define @t99 () (* -1 @t85))
0.49/0.69	(define @t100 () (+ @t86 @t99))
0.49/0.69	(define @t101 () (>= @t100 1))
0.49/0.69	(define @t102 () (not @t101))
0.49/0.69	(define @t103 () (>= @t85 0))
0.49/0.69	(define @t104 () (not @t103))
0.49/0.69	(define @t105 () (>= @t86 0))
0.49/0.69	(define @t106 () (not @t105))
0.49/0.69	(define @t107 () (or @t106 @t104 @t102 @t98 @t97 @t93))
0.49/0.69	(define @t108 () (not @t107))
0.49/0.69	(define @t109 () (not @t84))
0.49/0.69	(define @t110 () (* @t85 @t86))
0.49/0.69	(define @t111 () (+ @t90 @t110 @t89))
0.49/0.69	(define @t112 () (>= @t111 0))
0.49/0.69	(define @t113 () (not @t112))
0.49/0.69	(define @t114 () (* -1 @t86))
0.49/0.69	(define @t115 () (+ @t114 @t90))
0.49/0.69	(define @t116 () (+ @t95 1))
0.49/0.69	(define @t117 () (+ @t90 @t114))
0.49/0.69	(define @t118 () (>= @t117 0))
0.49/0.69	(define @t119 () (+ @t114 @t85))
0.49/0.69	(define @t120 () (+ @t100 1))
0.49/0.69	(define @t121 () (+ @t85 @t114))
0.49/0.69	(define @t122 () (>= @t121 0))
0.49/0.69	(define @t123 () (or @t106 @t104 @t122 @t98 @t118 @t113))
0.49/0.69	(define @t124 () (not @t123))
0.49/0.69	(define @t125 () (@list true))
0.49/0.69	(define @t126 () (@list @t107))
0.49/0.69	(define @t127 () (= @t86 0))
0.49/0.69	(define @t128 () (* -1 1))
0.49/0.69	(define @t129 () (* -1 0))
0.49/0.69	(define @t130 () (+ 0 @t129 @t128))
0.49/0.69	(define @t131 () (* -1 @t100))
0.49/0.69	(define @t132 () (+ @t86 @t99 @t131))
0.49/0.69	(define @t133 () (< -1 0))
0.49/0.69	(define @t134 () (and @t101 @t103 @t127))
0.49/0.69	(define @t135 () (@list false false))
0.49/0.69	(define @t136 () (>= @t86 1))
0.49/0.69	(define @t137 () (not @t136))
0.49/0.69	(define @t138 () (not @t127))
0.49/0.69	(define @t139 () (and @t136 @t101))
0.49/0.69	(define @t140 () (+ @t86 @t89 @t87))
0.49/0.69	(define @t141 () (+ @t114 @t88))
0.49/0.69	(define @t142 () (+ @t141 1))
0.49/0.69	(define @t143 () (>= @t140 1))
0.49/0.69	(define @t144 () (>= @t87 @t142))
0.49/0.69	(define @t145 () (+ -1 @t86))
0.49/0.69	(define @t146 () (* @t86 @t145))
0.49/0.69	(define @t147 () (* @t86 @t85))
0.49/0.69	(define @t148 () (<= @t147 @t146))
0.49/0.69	(define @t149 () (+ 0 1))
0.49/0.69	(define @t150 () (>= @t86 @t149))
0.49/0.69	(define @t151 () (> @t86 0))
0.49/0.69	(define @t152 () (and @t151 @t101))
0.49/0.69	(define @t153 () (<= @t85 @t145))
0.49/0.69	(define @t154 () (and @t151 @t153))
0.49/0.69	(define @t155 () (not @t143))
0.49/0.69	(define @t156 () (+ @t128 @t129 1))
0.49/0.69	(define @t157 () (* 0 @t86))
0.49/0.69	(define @t158 () (* 0 @t88))
0.49/0.69	(define @t159 () (* 0 @t87))
0.49/0.69	(define @t160 () (+ @t159 @t90 @t158 @t94 @t157))
0.49/0.69	(define @t161 () (+ (* -1 @t95) (* -1 @t91) @t140))
0.49/0.69	(define @t162 () (>= @t161 @t156))
0.49/0.69	(define @t163 () (and @t155 @t92 @t96))
0.49/0.69	(assume @p1 (forall @t11 (=> (= (tptp.num1 @t3) 1) (forall (@list @t2 @t1) (=> @t10 (=> (and @t7 @t6) @t4))))))
0.49/0.69	(assume @p2 (forall @t14 (tptp.sort1 @t13 (tptp.contents @t13 @t12))))
0.49/0.69	(assume @p3 @t26)
0.49/0.69	(assume @p4 (forall (@list @t28 @t2 @t1 @t27) (=> @t29 (=> (tptp.path1 @t28 @t1 @t27) (tptp.path1 @t28 @t2 @t27)))))
0.49/0.69	(assume @p5 (forall (@list @t30) (= @t30 (tptp.mk_uf1 (tptp.state1 @t30)))))
0.49/0.69	(assume @p6 (forall (@list @t32 @t33) (= (tptp.same_reprs1 @t32 @t33) (forall (@list @t2 @t31) (= (tptp.repr1 @t33 @t2 @t31) (tptp.repr1 @t32 @t2 @t31))))))
0.49/0.69	(assume @p7 (forall (@list @t34) (= @t34 tptp.tuple03)))
0.49/0.69	(assume @p8 (forall (@list @t13) (tptp.sort1 @t13 (tptp.witness1 @t13))))
0.49/0.69	(assume @p9 (forall (@list @t3 @t2 @t1) (= @t4 (forall (@list @t31) (= (tptp.repr1 @t3 @t1 @t31) (tptp.repr1 @t3 @t2 @t31))))))
0.49/0.69	(assume @p10 (forall @t37 (=> (tptp.sort1 @t36 @t35) (= @t35 (tptp.mk_ref @t13 (tptp.contents @t13 @t35))))))
0.49/0.69	(assume @p11 (not (= tptp.true1 tptp.false1)))
0.49/0.69	(assume @p12 (forall (@list @t3 @t2) (=> @t10 (exists (@list @t1) (and @t38 @t6 @t7)))))
0.49/0.69	(assume @p13 (forall @t41 (=> (tptp.sort1 @t13 @t39) (= (tptp.match_bool1 @t13 tptp.false1 @t40 @t39) @t39))))
0.49/0.69	(assume @p14 (forall @t14 (tptp.sort1 @t36 (tptp.mk_ref @t13 @t12))))
0.49/0.69	(assume @p15 (forall @t41 (=> (tptp.sort1 @t13 @t40) (= (tptp.match_bool1 @t13 tptp.true1 @t40 @t39) @t40))))
0.49/0.69	(assume @p16 (forall (@list @t13 @t44 @t43 @t42) (tptp.sort1 @t13 (tptp.match_bool1 @t13 @t44 @t43 @t42))))
0.49/0.69	(assume @p17 (forall @t37 (=> (tptp.sort1 @t13 @t35) (= (tptp.contents @t13 (tptp.mk_ref @t13 @t35)) @t35))))
0.49/0.69	(assume @p18 (forall @t45 (tptp.path1 @t28 @t2 @t2)))
0.49/0.69	(assume @p19 (forall (@list @t2 @t1 @t27) (=> (<= @t2 @t1) (=> (<= 0 @t27) (<= (* @t2 @t27) (* @t1 @t27))))))
0.49/0.69	(assume @p20 (forall (@list @t46) (or (= @t46 tptp.false1) (= @t46 tptp.true1))))
0.49/0.69	(assume @p21 (forall (@list @t51 @t47 @t49) (=> (tptp.path1 @t51 @t47 @t49) (or (exists (@list @t28 @t2 @t1 @t54) (and @t29 (= @t49 @t54) @t48 @t52 (tptp.path1 @t28 @t1 @t54))) (exists @t53 (and @t50 (= @t47 @t1) @t52 @t29)) (exists @t45 (and @t52 @t50 @t48))))))
0.49/0.69	(assume @p22 (forall @t11 (= (tptp.state1 (tptp.mk_uf1 @t3)) @t3)))
0.49/0.69	(assume @p23 (forall @t53 (=> @t29 (tptp.path1 @t28 @t1 @t2))))
0.49/0.69	(assume @p24 (forall (@list @t3 @t2 @t1 @t27) (=> (and @t8 @t9) (=> @t38 (=> (tptp.repr1 @t3 @t2 @t27) (= @t1 @t27))))))
0.49/0.69	(assume @p25 true)
0.49/0.69	(step @p26 :rule aci_norm :args ((= (or @t70 @t72) @t71)))
0.49/0.69	(step @p27 :rule aci_norm :args ((= (or (or @t68 @t66) @t73) @t72)))
0.49/0.69	(step @p28 :rule aci_norm :args ((= (or (or @t64 @t62) @t59) @t73)))
0.49/0.69	(step @p29 :rule refl :args (@t59))
0.49/0.69	(step @p30 :rule bool-double-not-elim :args (@t62))
0.49/0.69	(step @p31 :rule refl :args (@t64))
0.49/0.69	(step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t64 (not @t74))))
0.49/0.69	(step @p33 :rule bool-and-de-morgan :args (@t63 @t74 true))
0.49/0.69	(step @p34 :rule trans :premises (@p33 @p32))
0.49/0.69	(step @p35 :rule nary_cong :premises (@p34 @p29) :args ((or (not @t75) @t59)))
0.49/0.69	(step @p36 :rule trans :premises (@p35 @p28))
0.49/0.69	(step @p37 :rule bool-impl-elim :args (@t75 @t59))
0.49/0.69	(step @p38 :rule trans :premises (@p37 @p36))
0.49/0.69	(step @p39 :rule bool-double-not-elim :args (@t66))
0.49/0.69	(step @p40 :rule refl :args (@t68))
0.49/0.69	(step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t68 (not @t76))))
0.49/0.69	(step @p42 :rule bool-and-de-morgan :args (@t67 @t76 true))
0.49/0.69	(step @p43 :rule trans :premises (@p42 @p41))
0.49/0.69	(step @p44 :rule nary_cong :premises (@p43 @p38) :args ((or (not @t78) @t77)))
0.49/0.69	(step @p45 :rule trans :premises (@p44 @p27))
0.49/0.69	(step @p46 :rule bool-impl-elim :args (@t78 @t77))
0.49/0.69	(step @p47 :rule trans :premises (@p46 @p45))
0.49/0.69	(step @p48 :rule refl :args (@t70))
0.49/0.69	(step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t70 @t79)))
0.49/0.69	(step @p50 :rule trans :premises (@p49 @p26))
0.49/0.69	(step @p51 :rule bool-impl-elim :args (@t69 @t79))
0.49/0.69	(step @p52 :rule trans :premises (@p51 @p50))
0.49/0.69	(step @p53 :rule cong :premises (@p52) :args ((forall @t24 (=> @t69 @t79))))
0.49/0.69	(step @p54 :rule arith_poly_norm :args ((= (* 1 (- @t80 @t55)) (* 1 (- @t57 0)))))
0.49/0.69	(step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= (>= @t80 @t55) @t58)))
0.49/0.69	(step @p56 :rule arith_poly_norm :args ((= @t16 @t55)))
0.49/0.69	(step @p57 :rule arith_poly_norm :args ((= (+ @t56 @t1) @t80)))
0.49/0.69	(step @p58 :rule refl :args (@t1))
0.49/0.69	(step @p59 :rule arith_poly_norm :args ((= @t17 @t56)))
0.49/0.69	(step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t18))
0.49/0.69	(step @p61 :rule trans :premises (@p60 @p57))
0.49/0.69	(step @p62 :rule cong :premises (@p61 @p56) :args (@t81))
0.49/0.69	(step @p63 :rule trans :premises (@p62 @p55))
0.49/0.69	(step @p64 :rule cong :premises (@p63) :args ((not @t81)))
0.49/0.69	(step @p65 :rule arith-elim-lt :args (@t18 @t16))
0.49/0.69	(step @p66 :rule trans :premises (@p65 @p64))
0.49/0.69	(step @p67 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t15)) (* 1 (- @t61 0)))))
0.49/0.69	(step @p68 :rule arith_poly_norm_rel :premises (@p67) :args ((= @t82 @t62)))
0.49/0.69	(step @p69 :rule cong :premises (@p68) :args ((not @t82)))
0.49/0.69	(step @p70 :rule arith-elim-lt :args (@t1 @t15))
0.49/0.69	(step @p71 :rule trans :premises (@p70 @p69))
0.49/0.69	(step @p72 :rule arith-elim-leq :args (0 @t1))
0.49/0.69	(step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t19))
0.49/0.69	(step @p74 :rule cong :premises (@p73 @p66) :args (@t20))
0.49/0.69	(step @p75 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t15)) (* 1 (- @t65 0)))))
0.49/0.69	(step @p76 :rule arith_poly_norm_rel :premises (@p75) :args ((= @t83 @t66)))
0.49/0.69	(step @p77 :rule cong :premises (@p76) :args ((not @t83)))
0.49/0.69	(step @p78 :rule arith-elim-lt :args (@t2 @t15))
0.49/0.69	(step @p79 :rule trans :premises (@p78 @p77))
0.49/0.69	(step @p80 :rule arith-elim-leq :args (0 @t2))
0.49/0.69	(step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t21))
0.49/0.69	(step @p82 :rule cong :premises (@p81 @p74) :args (@t22))
0.49/0.69	(step @p83 :rule arith-elim-leq :args (0 @t15))
0.49/0.69	(step @p84 :rule cong :premises (@p83 @p82) :args (@t23))
0.49/0.69	(step @p85 :rule cong :premises (@p84) :args (@t25))
0.49/0.69	(step @p86 :rule trans :premises (@p85 @p53))
0.49/0.69	(step @p87 :rule cong :premises (@p86) :args (@t26))
0.49/0.69	(step @p88 :rule eq_resolve :premises (@p3 @p87))
0.49/0.69	(step @p89 :rule refl :args (@t108))
0.49/0.69	(step @p90 :rule bool-double-not-elim :args (@t84))
0.49/0.69	(step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t109) @t108)))
0.49/0.69	(step @p92 :rule refl :args (0))
0.49/0.69	(step @p93 :rule arith_poly_norm :args ((= (+ @t90 @t87 @t89) @t91)))
0.49/0.69	(step @p94 :rule refl :args (@t89))
0.49/0.69	(step @p95 :rule arith_poly_norm :args ((= @t110 @t87)))
0.49/0.69	(step @p96 :rule refl :args (@t90))
0.49/0.69	(step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t111))
0.49/0.69	(step @p98 :rule trans :premises (@p97 @p93))
0.49/0.69	(step @p99 :rule cong :premises (@p98 @p92) :args (@t112))
0.49/0.69	(step @p100 :rule cong :premises (@p99) :args (@t113))
0.49/0.69	(step @p101 :rule arith_poly_norm :args ((= (* -1 (- 1 @t116)) (* -1 (- @t115 0)))))
0.49/0.69	(step @p102 :rule arith_poly_norm_rel :premises (@p101) :args ((= (>= 1 @t116) (>= @t115 0))))
0.49/0.69	(step @p103 :rule arith-geq-tighten :args (@t95 1))
0.49/0.69	(step @p104 :rule trans :premises (@p103 @p102))
0.49/0.69	(step @p105 :rule symm :premises (@p104))
0.49/0.69	(step @p106 :rule arith_poly_norm :args ((= @t117 @t115)))
0.49/0.69	(step @p107 :rule cong :premises (@p106 @p92) :args (@t118))
0.49/0.69	(step @p108 :rule trans :premises (@p107 @p105))
0.49/0.69	(step @p109 :rule refl :args (@t98))
0.49/0.69	(step @p110 :rule arith_poly_norm :args ((= (* -1 (- 1 @t120)) (* -1 (- @t119 0)))))
0.49/0.69	(step @p111 :rule arith_poly_norm_rel :premises (@p110) :args ((= (>= 1 @t120) (>= @t119 0))))
0.49/0.69	(step @p112 :rule arith-geq-tighten :args (@t100 1))
0.49/0.69	(step @p113 :rule trans :premises (@p112 @p111))
0.49/0.69	(step @p114 :rule symm :premises (@p113))
0.49/0.69	(step @p115 :rule arith_poly_norm :args ((= @t121 @t119)))
0.49/0.69	(step @p116 :rule cong :premises (@p115 @p92) :args (@t122))
0.49/0.69	(step @p117 :rule trans :premises (@p116 @p114))
0.49/0.69	(step @p118 :rule refl :args (@t104))
0.49/0.69	(step @p119 :rule refl :args (@t106))
0.49/0.69	(step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p109 @p108 @p100) :args (@t123))
0.49/0.69	(step @p121 :rule cong :premises (@p120) :args (@t124))
0.49/0.69	(step @p122 :rule refl :args (@t109))
0.49/0.69	(step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t109 @t124)))
0.49/0.69	(assume-push @p340 @t109)
0.49/0.69	(step @p125 :rule skolemize :premises (@p88))
0.49/0.69	(step-pop @p340 :rule scope :premises (@p125))
0.49/0.69	(step @p126 :rule process_scope :premises (@p340) :args (@t124))
0.49/0.69	(step @p128 :rule eq_resolve :premises (@p126 @p123))
0.49/0.69	(step @p129 :rule implies_elim :premises (@p128))
0.49/0.69	(step @p130 :rule eq_resolve :premises (@p129 @p91))
0.49/0.69	(step @p131 :rule chain_resolution :premises (@p130 @p88) :args (@t125 (@list @t84)))
0.49/0.69	(step @p132 :rule bool-double-not-elim :args (@t96))
0.49/0.69	(step @p133 :rule refl :args (@t107))
0.49/0.69	(step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t107 (not @t97))))
0.49/0.69	(step @p135 :rule cnf_or_neg :args (@t107 4))
0.49/0.69	(step @p136 :rule eq_resolve :premises (@p135 @p134))
0.49/0.69	(step @p137 :rule reordering :premises (@p136) :args ((or @t96 @t107)))
0.49/0.69	(step @p138 :rule chain_resolution :premises (@p137 @p131) :args (@t125 @t126))
0.49/0.69	(step @p139 :rule bool-double-not-elim :args (@t92))
0.49/0.69	(step @p140 :rule nary_cong :premises (@p133 @p139) :args ((or @t107 (not @t93))))
0.49/0.69	(step @p141 :rule cnf_or_neg :args (@t107 5))
0.49/0.69	(step @p142 :rule eq_resolve :premises (@p141 @p140))
0.49/0.69	(step @p143 :rule reordering :premises (@p142) :args ((or @t92 @t107)))
0.49/0.69	(step @p144 :rule chain_resolution :premises (@p143 @p131) :args (@t125 @t126))
0.49/0.69	(step @p145 :rule bool-double-not-elim :args (@t101))
0.49/0.69	(step @p146 :rule nary_cong :premises (@p133 @p145) :args ((or @t107 (not @t102))))
0.49/0.69	(step @p147 :rule cnf_or_neg :args (@t107 2))
0.49/0.69	(step @p148 :rule eq_resolve :premises (@p147 @p146))
0.49/0.69	(step @p149 :rule reordering :premises (@p148) :args ((or @t101 @t107)))
0.49/0.69	(step @p150 :rule chain_resolution :premises (@p149 @p131) :args (@t125 @t126))
0.49/0.69	(step @p151 :rule bool-double-not-elim :args (@t103))
0.49/0.69	(step @p152 :rule nary_cong :premises (@p133 @p151) :args ((or @t107 (not @t104))))
0.49/0.69	(step @p153 :rule cnf_or_neg :args (@t107 1))
0.49/0.69	(step @p154 :rule eq_resolve :premises (@p153 @p152))
0.49/0.69	(step @p155 :rule reordering :premises (@p154) :args ((or @t103 @t107)))
0.49/0.69	(step @p156 :rule chain_resolution :premises (@p155 @p131) :args (@t125 @t126))
0.49/0.69	(assume-push @p342 @t101)
0.49/0.69	(assume-push @p343 @t103)
0.49/0.69	(assume-push @p344 @t127)
0.49/0.69	(assume-push @p345 @t127)
0.49/0.69	(step @p161 :rule evaluate :args ((<= 0 -1)))
0.49/0.69	(step @p162 :rule evaluate :args ((+ 0 0 -1)))
0.49/0.69	(step @p163 :rule evaluate :args (@t128))
0.49/0.69	(step @p164 :rule evaluate :args (@t129))
0.49/0.69	(step @p165 :rule nary_cong :premises (@p92 @p164 @p163) :args (@t130))
0.49/0.69	(step @p166 :rule trans :premises (@p165 @p162))
0.49/0.69	(step @p167 :rule arith_poly_norm :args ((= (+ @t86 @t99 @t119) 0)))
0.49/0.69	(step @p168 :rule arith_poly_norm :args ((= @t131 @t119)))
0.49/0.69	(step @p169 :rule refl :args (@t99))
0.49/0.69	(step @p170 :rule refl :args (@t86))
0.49/0.69	(step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t132))
0.49/0.69	(step @p172 :rule trans :premises (@p171 @p167))
0.49/0.69	(step @p173 :rule cong :premises (@p172 @p166) :args ((<= @t132 @t130)))
0.49/0.69	(step @p174 :rule trans :premises (@p173 @p161))
0.49/0.69	(step @p175 :rule arith_mult_neg :args (-1 @t101))
0.49/0.69	(step @p176 :rule evaluate :args (@t133))
0.49/0.69	(step @p177 :rule true_elim :premises (@p176))
0.49/0.69	(step @p178 :rule and_intro :premises (@p177 @p150))
0.49/0.69	(step @p179 :rule modus_ponens :premises (@p178 @p175))
0.49/0.69	(step @p180 :rule arith_mult_neg :args (-1 @t103))
0.49/0.69	(step @p181 :rule and_intro :premises (@p177 @p156))
0.49/0.69	(step @p182 :rule modus_ponens :premises (@p181 @p180))
0.49/0.69	(step @p183 :rule arith_sum_ub :premises (@p344 @p182 @p179))
0.49/0.69	(step @p184 false :rule eq_resolve :premises (@p183 @p174))
0.49/0.69	(step-pop @p345 :rule scope :premises (@p184))
0.49/0.69	(step @p185 :rule process_scope :premises (@p345) :args (false))
0.49/0.69	(step @p187 false :rule contra :premises (@p344 @p185))
0.49/0.69	(step-pop @p346 :rule scope :premises (@p187))
0.49/0.69	(step-pop @p347 :rule scope :premises (@p346))
0.49/0.69	(step-pop @p348 :rule scope :premises (@p347))
0.49/0.69	(step @p188 :rule process_scope :premises (@p348) :args (false))
0.49/0.69	(assume-push @p350 @t103)
0.49/0.69	(assume-push @p351 @t101)
0.49/0.69	(assume-push @p352 @t127)
0.49/0.69	(step @p195 :rule and_intro :premises (@p150 @p156 @p352))
0.49/0.69	(step-pop @p352 :rule scope :premises (@p195))
0.49/0.69	(step-pop @p353 :rule scope :premises (@p352))
0.49/0.69	(step-pop @p354 :rule scope :premises (@p353))
0.49/0.69	(step @p196 :rule process_scope :premises (@p354) :args (@t134))
0.49/0.69	(step @p200 :rule implies_elim :premises (@p196))
0.49/0.69	(step @p201 :rule resolution :premises (@p200 @p188) :args (true @t134))
0.49/0.69	(step @p202 :rule not_and :premises (@p201))
0.49/0.69	(step @p203 :rule chain_resolution :premises (@p202 @p156 @p150) :args (@t135 (@list @t103 @t101)))
0.49/0.69	(step @p204 :rule bool-double-not-elim :args (@t105))
0.49/0.69	(step @p205 :rule nary_cong :premises (@p133 @p204) :args ((or @t107 (not @t106))))
0.49/0.69	(step @p206 :rule cnf_or_neg :args (@t107 0))
0.49/0.69	(step @p207 :rule eq_resolve :premises (@p206 @p205))
0.49/0.69	(step @p208 :rule reordering :premises (@p207) :args ((or @t105 @t107)))
0.49/0.69	(step @p209 :rule chain_resolution :premises (@p208 @p131) :args (@t125 @t126))
0.49/0.69	(step @p210 :rule bool-double-not-elim :args (@t136))
0.49/0.69	(step @p211 :rule bool-double-not-elim :args (@t127))
0.49/0.69	(step @p212 :rule nary_cong :premises (@p119 @p211 @p210) :args ((or @t106 (not @t138) (not @t137))))
0.49/0.69	(assume-push @p356 @t105)
0.49/0.69	(assume-push @p357 @t138)
0.49/0.69	(assume-push @p358 @t137)
0.49/0.69	(step @p216 :rule arith-elim-lt :args (@t86 1))
0.49/0.69	(step @p217 :rule cong :premises (@p216) :args ((not (< @t86 1))))
0.49/0.69	(step @p218 :rule trans :premises (@p217 @p210))
0.49/0.69	(step @p219 :rule symm :premises (@p218))
0.49/0.69	(step @p220 :rule arith_trichotomy :premises (@p209 @p357))
0.49/0.69	(step @p221 :rule int_tight_lb :premises (@p220))
0.49/0.69	(step @p222 :rule eq_resolve :premises (@p221 @p219))
0.49/0.69	(step @p223 :rule symm :premises (@p216))
0.49/0.69	(step @p224 :rule eq_resolve :premises (@p358 @p223))
0.49/0.69	(step @p225 false :rule contra :premises (@p224 @p222))
0.49/0.69	(step-pop @p358 :rule scope :premises (@p225))
0.49/0.69	(step-pop @p359 :rule scope :premises (@p358))
0.49/0.69	(step-pop @p360 :rule scope :premises (@p359))
0.49/0.69	(step @p226 :rule process_scope :premises (@p360) :args (false))
0.49/0.69	(step @p230 :rule not_and :premises (@p226))
0.49/0.69	(step @p231 :rule eq_resolve :premises (@p230 @p212))
0.49/0.69	(step @p232 :rule chain_resolution :premises (@p231 @p209 @p203) :args ((@list false true) (@list @t105 @t127)))
0.49/0.69	(step @p233 :rule cnf_and_neg :args (@t139))
0.49/0.69	(step @p234 :rule reordering :premises (@p233) :args ((or @t102 @t137 @t139)))
0.49/0.69	(step @p235 :rule chain_resolution :premises (@p234 @p150 @p232) :args (@t135 (@list @t101 @t136)))
0.49/0.69	(step @p236 :rule arith_poly_norm :args ((= (* -1 (- @t87 @t142)) (* -1 (- @t140 1)))))
0.49/0.69	(step @p237 :rule arith_poly_norm_rel :premises (@p236) :args ((= @t144 @t143)))
0.49/0.69	(step @p238 :rule cong :premises (@p237) :args ((not @t144)))
0.49/0.69	(step @p239 :rule arith-leq-norm :args (@t87 @t141))
0.49/0.69	(step @p240 :rule trans :premises (@p239 @p238))
0.49/0.69	(step @p241 :rule arith_poly_norm :args ((= @t146 @t141)))
0.49/0.69	(step @p242 :rule arith_poly_norm :args ((= @t147 @t87)))
0.49/0.69	(step @p243 :rule cong :premises (@p242 @p241) :args (@t148))
0.49/0.69	(step @p244 :rule trans :premises (@p243 @p240))
0.49/0.69	(step @p245 :rule refl :args (@t101))
0.49/0.69	(step @p246 :rule evaluate :args (@t149))
0.49/0.69	(step @p247 :rule refl :args (@t86))
0.49/0.69	(step @p248 :rule cong :premises (@p247 @p246) :args (@t150))
0.49/0.69	(step @p249 :rule cong :premises (@p248) :args ((not @t150)))
0.49/0.69	(step @p250 :rule arith-leq-norm :args (@t86 0))
0.49/0.69	(step @p251 :rule trans :premises (@p250 @p249))
0.49/0.69	(step @p252 :rule cong :premises (@p251) :args ((not (<= @t86 0))))
0.49/0.69	(step @p253 :rule trans :premises (@p252 @p210))
0.49/0.69	(step @p254 :rule arith-elim-leq :args (@t86 0))
0.49/0.69	(step @p255 :rule symm :premises (@p254))
0.49/0.69	(step @p256 :rule cong :premises (@p255) :args ((not (>= 0 @t86))))
0.49/0.69	(step @p257 :rule arith-elim-gt :args (@t86 0))
0.49/0.69	(step @p258 :rule trans :premises (@p257 @p256))
0.49/0.69	(step @p259 :rule trans :premises (@p258 @p253))
0.49/0.69	(step @p260 :rule nary_cong :premises (@p259 @p245) :args (@t152))
0.49/0.69	(step @p261 :rule cong :premises (@p260 @p244) :args ((=> @t152 @t148)))
0.49/0.69	(step @p262 :rule symm :premises (@p261))
0.49/0.69	(step @p263 :rule arith_poly_norm :args ((= (* -1 (- @t145 @t85)) (* -1 (- @t100 1)))))
0.49/0.69	(step @p264 :rule arith_poly_norm_rel :premises (@p263) :args ((= (>= @t145 @t85) @t101)))
0.49/0.69	(step @p265 :rule arith-elim-leq :args (@t85 @t145))
0.49/0.69	(step @p266 :rule trans :premises (@p265 @p264))
0.49/0.69	(step @p267 :rule nary_cong :premises (@p259 @p266) :args (@t154))
0.49/0.69	(step @p268 :rule cong :premises (@p267 @p244) :args ((=> @t154 @t148)))
0.49/0.69	(step @p269 :rule trans :premises (@p268 @p262))
0.49/0.69	(step @p270 :rule arith_mult_pos :args (@t86 @t153))
0.49/0.69	(step @p271 :rule eq_resolve :premises (@p270 @p269))
0.49/0.69	(step @p272 :rule eq_resolve :premises (@p271 @p261))
0.49/0.69	(step @p273 :rule implies_elim :premises (@p272))
0.49/0.69	(step @p274 :rule reordering :premises (@p273) :args ((or @t155 (not @t139))))
0.49/0.69	(step @p275 :rule chain_resolution :premises (@p274 @p235) :args ((@list false) (@list @t139)))
0.49/0.69	(step @p276 :rule bool-double-not-elim :args (@t143))
0.49/0.69	(step @p277 :rule refl :args (@t93))
0.49/0.69	(step @p278 :rule refl :args (@t97))
0.49/0.69	(step @p279 :rule nary_cong :premises (@p278 @p277 @p276) :args ((or @t97 @t93 (not @t155))))
0.49/0.69	(assume-push @p362 @t155)
0.49/0.69	(assume-push @p363 @t92)
0.49/0.69	(assume-push @p364 @t96)
0.49/0.69	(step @p283 :rule arith-elim-lt :args (@t95 1))
0.49/0.69	(step @p284 :rule symm :premises (@p283))
0.49/0.69	(assume-push @p365 @t96)
0.49/0.69	(step @p286 :rule evaluate :args ((not true)))
0.49/0.69	(step @p287 :rule evaluate :args ((>= 0 0)))
0.49/0.69	(step @p288 :rule evaluate :args ((+ -1 0 1)))
0.49/0.69	(step @p289 :rule refl :args (1))
0.49/0.69	(step @p164 :rule evaluate :args (@t129))
0.49/0.69	(step @p163 :rule evaluate :args (@t128))
0.49/0.69	(step @p290 :rule nary_cong :premises (@p163 @p164 @p289) :args (@t156))
0.49/0.69	(step @p291 :rule trans :premises (@p290 @p288))
0.49/0.69	(step @p292 :rule arith_poly_norm :args ((= (+ 0 @t90 0 @t94 0) 0)))
0.49/0.69	(step @p293 :rule arith_poly_norm :args ((= @t157 0)))
0.49/0.69	(step @p294 :rule refl :args (@t94))
0.49/0.69	(step @p295 :rule arith_poly_norm :args ((= @t158 0)))
0.49/0.69	(step @p296 :rule arith_poly_norm :args ((= @t159 0)))
0.49/0.69	(step @p297 :rule nary_cong :premises (@p296 @p96 @p295 @p294 @p293) :args (@t160))
0.49/0.69	(step @p298 :rule trans :premises (@p297 @p292))
0.49/0.69	(step @p299 :rule arith_poly_norm :args ((= @t161 @t160)))
0.49/0.69	(step @p300 :rule trans :premises (@p299 @p298))
0.49/0.69	(step @p301 :rule cong :premises (@p300 @p291) :args (@t162))
0.49/0.69	(step @p302 :rule trans :premises (@p301 @p287))
0.49/0.69	(step @p303 :rule cong :premises (@p302) :args ((not @t162)))
0.49/0.69	(step @p304 :rule trans :premises (@p303 @p286))
0.49/0.69	(step @p305 :rule arith-elim-lt :args (@t161 @t156))
0.49/0.69	(step @p306 :rule trans :premises (@p305 @p304))
0.49/0.69	(step @p307 :rule arith-elim-lt :args (@t140 1))
0.49/0.69	(step @p308 :rule symm :premises (@p307))
0.49/0.69	(step @p309 :rule eq_resolve :premises (@p362 @p308))
0.49/0.69	(step @p310 :rule arith_mult_neg :args (-1 @t92))
0.49/0.69	(step @p176 :rule evaluate :args (@t133))
0.49/0.69	(step @p177 :rule true_elim :premises (@p176))
0.49/0.69	(step @p311 :rule and_intro :premises (@p177 @p144))
0.49/0.69	(step @p312 :rule modus_ponens :premises (@p311 @p310))
0.49/0.69	(step @p313 :rule arith_mult_neg :args (-1 @t96))
0.49/0.69	(step @p314 :rule and_intro :premises (@p177 @p138))
0.49/0.69	(step @p315 :rule modus_ponens :premises (@p314 @p313))
0.49/0.69	(step @p316 :rule arith_sum_ub :premises (@p315 @p312 @p309))
0.49/0.69	(step @p317 false :rule eq_resolve :premises (@p316 @p306))
0.49/0.69	(step-pop @p365 :rule scope :premises (@p317))
0.49/0.69	(step @p318 :rule process_scope :premises (@p365) :args (false))
0.49/0.69	(step @p320 :rule eq_resolve :premises (@p318 @p284))
0.49/0.69	(step @p321 :rule eq_resolve :premises (@p320 @p283))
0.49/0.69	(step @p322 false :rule contra :premises (@p138 @p321))
0.49/0.69	(step-pop @p366 :rule scope :premises (@p322))
0.49/0.69	(step-pop @p367 :rule scope :premises (@p366))
0.49/0.69	(step-pop @p368 :rule scope :premises (@p367))
0.49/0.69	(step @p323 :rule process_scope :premises (@p368) :args (false))
0.49/0.69	(assume-push @p370 @t96)
0.49/0.69	(assume-push @p371 @t92)
0.49/0.69	(assume-push @p372 @t155)
0.49/0.69	(step @p330 :rule and_intro :premises (@p372 @p144 @p138))
0.49/0.69	(step-pop @p372 :rule scope :premises (@p330))
0.49/0.69	(step-pop @p373 :rule scope :premises (@p372))
0.49/0.69	(step-pop @p374 :rule scope :premises (@p373))
0.49/0.69	(step @p331 :rule process_scope :premises (@p374) :args (@t163))
0.49/0.69	(step @p335 :rule implies_elim :premises (@p331))
0.49/0.69	(step @p336 :rule resolution :premises (@p335 @p323) :args (true @t163))
0.49/0.69	(step @p337 :rule not_and :premises (@p336))
0.49/0.69	(step @p338 :rule eq_resolve :premises (@p337 @p279))
0.49/0.69	(step @p339 false :rule chain_resolution :premises (@p338 @p275 @p144 @p138) :args ((@list true false false) (@list @t143 @t92 @t96)))
0.49/0.69	)
0.49/0.69	% SZS output end Proof
0.49/0.69	% cvc5 exiting
0.49/0.69	EOF