0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : do_cvc5 %s %d THM
0.12/0.34	% Computer : n015.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   : 1440
0.12/0.34	% WCLimit    : 180
0.12/0.34	% DateTime   : Thu Jul  4 04:09:09 EDT 2024
0.12/0.34	% CPUTime    : 
0.20/0.53	%----Proving TF0_ARI
15.54/15.80	--- Run --finite-model-find --decision=internal at 15...
15.54/15.80	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10...
15.54/15.80	% SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.zF7tjqWPaa/cvc5---1.0.5_22892.smt2
15.54/15.80	% SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.zF7tjqWPaa/cvc5---1.0.5_22892.smt2
15.54/15.80	(declare-sort tptp.list_int 0)
15.54/15.80	(declare-sort tptp.bool1 0)
15.54/15.80	(declare-sort tptp.tuple02 0)
15.54/15.80	(declare-sort tptp.option_int 0)
15.54/15.80	(declare-sort tptp.ty 0)
15.54/15.80	(declare-sort tptp.uni 0)
15.54/15.80	(declare-fun tptp.tuple03 () tptp.tuple02)
15.54/15.80	(declare-fun tptp.zero_at1 (tptp.list_int Int) Bool)
15.54/15.80	(declare-fun tptp.hd (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.ref (tptp.ty) tptp.ty)
15.54/15.80	(declare-fun tptp.tl (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.option (tptp.ty) tptp.ty)
15.54/15.80	(declare-fun tptp.match_option1 (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.tb2t (tptp.uni) tptp.option_int)
15.54/15.80	(declare-fun tptp.none (tptp.ty) tptp.uni)
15.54/15.80	(declare-fun tptp.nth1 (tptp.ty Int tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.int () tptp.ty)
15.54/15.80	(declare-fun tptp.t2tb2 (Int) tptp.uni)
15.54/15.80	(declare-fun tptp.t2tb (tptp.option_int) tptp.uni)
15.54/15.80	(declare-fun tptp.match_bool1 (tptp.ty tptp.bool1 tptp.uni tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.sort1 (tptp.ty tptp.uni) Bool)
15.54/15.80	(declare-fun tptp.some (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.tb2t2 (tptp.uni) Int)
15.54/15.80	(declare-fun tptp.cons_proj_11 (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.cons (tptp.ty tptp.uni tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.list (tptp.ty) tptp.ty)
15.54/15.80	(declare-fun tptp.tb2t1 (tptp.uni) tptp.list_int)
15.54/15.80	(declare-fun tptp.match_list1 (tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.false1 () tptp.bool1)
15.54/15.80	(declare-fun tptp.t2tb1 (tptp.list_int) tptp.uni)
15.54/15.80	(declare-fun tptp.length1 (tptp.ty tptp.uni) Int)
15.54/15.80	(declare-fun tptp.no_zero1 (tptp.list_int) Bool)
15.54/15.80	(declare-fun tptp.nil (tptp.ty) tptp.uni)
15.54/15.80	(declare-fun tptp.some_proj_11 (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.witness1 (tptp.ty) tptp.uni)
15.54/15.80	(declare-fun tptp.contents (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.cons_proj_21 (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.mk_ref (tptp.ty tptp.uni) tptp.uni)
15.54/15.80	(declare-fun tptp.true1 () tptp.bool1)
15.54/15.80	(define @v.0.BOUND_VARIABLE_963 () (alf.var "BOUND_VARIABLE_963" Int))
15.54/15.80	(define @v.0.BOUND_VARIABLE_961 () (alf.var "BOUND_VARIABLE_961" tptp.ty))
15.54/15.80	(define @v.0.BOUND_VARIABLE_1000 () (alf.var "BOUND_VARIABLE_1000" tptp.uni))
15.54/15.80	(define @v.0.BOUND_VARIABLE_1002 () (alf.var "BOUND_VARIABLE_1002" tptp.uni))
15.54/15.80	(define @v.0.BOUND_VARIABLE_985 () (alf.var "BOUND_VARIABLE_985" tptp.ty))
15.54/15.80	(define @v.0.BOUND_VARIABLE_1013 () (alf.var "BOUND_VARIABLE_1013" tptp.uni))
15.54/15.80	(define @v.0.BOUND_VARIABLE_1182 () (alf.var "BOUND_VARIABLE_1182" tptp.list_int))
15.54/15.80	(define @v.1.Z () (alf.var "Z" Int))
15.54/15.80	(define @v.2.U () (alf.var "U" tptp.tuple02))
15.54/15.80	(define @v.2.I () (alf.var "I" tptp.list_int))
15.54/15.80	(define @v.0.BOUND_VARIABLE_1011 () (alf.var "BOUND_VARIABLE_1011" tptp.uni))
15.54/15.80	(define @v.0.BOUND_VARIABLE_971 () (alf.var "BOUND_VARIABLE_971" tptp.ty))
15.54/15.80	(define @v.0.A () (alf.var "A" tptp.ty))
15.54/15.80	(define @v.0.J () (alf.var "J" tptp.uni))
15.54/15.80	(define @v.1.I () (alf.var "I" tptp.option_int))
15.54/15.80	(define @v.0.I () (alf.var "I" Int))
15.54/15.80	(define @v.0.V1 () (alf.var "V1" tptp.uni))
15.54/15.80	(define @v.0.Z1 () (alf.var "Z1" tptp.uni))
15.54/15.80	(define @v.0.N () (alf.var "N" Int))
15.54/15.80	(define @v.0.S () (alf.var "S" tptp.list_int))
15.54/15.80	(define @v.1.X () (alf.var "X" tptp.uni))
15.54/15.80	(define @v.0.U1 () (alf.var "U1" tptp.uni))
15.54/15.80	(define @v.1.J () (alf.var "J" Int))
15.54/15.80	(define @v.0.U () (alf.var "U" tptp.uni))
15.54/15.80	(define @v.0.X () (alf.var "X" Int))
15.54/15.80	(define @v.0.X1 () (alf.var "X1" tptp.uni))
15.54/15.80	(define @v.0.V () (alf.var "V" tptp.uni))
15.54/15.80	(define @v.0.Z () (alf.var "Z" tptp.uni))
15.54/15.80	(define @v.0.A1 () (alf.var "A1" tptp.ty))
15.54/15.80	(define @v.4.X () (alf.var "X" tptp.option_int))
15.54/15.80	(define @v.2.X () (alf.var "X" tptp.list_int))
15.54/15.80	(define @v.0.X2 () (alf.var "X2" tptp.uni))
15.54/15.80	(define @v.3.X () (alf.var "X" tptp.bool1))
15.54/15.80	(define @v.0.L () (alf.var "L" tptp.list_int))
15.54/15.80	(define @v.0.Y () (alf.var "Y" Int))
15.54/15.80	(define @v.1.U () (alf.var "U" tptp.bool1))
15.54/15.80	(define @v.1.L () (alf.var "L" tptp.uni))
15.54/15.80	(define @v.0.BOUND_VARIABLE_973 () (alf.var "BOUND_VARIABLE_973" Int))
15.54/15.80	(define @v.0.O () (alf.var "O" Int))
15.54/15.80	(define @v.1.X1 () (alf.var "X1" tptp.list_int))
15.54/15.80	(define @t1 () (tptp.cons @v.0.A @v.0.U @v.0.U1))
15.54/15.80	(define @t2 () (tptp.sort1 @v.0.A @v.0.U))
15.54/15.80	(define @t3 () (@list @v.0.A @v.0.U @v.0.U1))
15.54/15.80	(define @t4 () (tptp.t2tb2 @v.0.X))
15.54/15.80	(define @t5 () (tptp.option @v.0.A))
15.54/15.80	(define @t6 () (tptp.none @v.0.A))
15.54/15.80	(define @t7 () (tptp.sort1 @v.0.A1 @v.0.Z))
15.54/15.80	(define @t8 () (@list @v.0.A @v.0.A1 @v.0.Z @v.0.Z1))
15.54/15.80	(define @t9 () (@list @v.0.J))
15.54/15.80	(define @t10 () (tptp.list @v.0.A))
15.54/15.80	(define @t11 () (@list @v.0.A @v.1.X))
15.54/15.80	(define @t12 () (tptp.sort1 @v.0.A1 @v.0.Z1))
15.54/15.80	(define @t13 () (@list @v.0.A @v.0.Z @v.0.Z1))
15.54/15.80	(define @t14 () (tptp.t2tb2 0))
15.54/15.80	(define @t15 () (tptp.some tptp.int @t14))
15.54/15.80	(define @t16 () (tptp.tb2t @t15))
15.54/15.80	(define @t17 () (tptp.t2tb1 @v.0.L))
15.54/15.80	(define @t18 () (not (= (tptp.tb2t (tptp.nth1 tptp.int @v.1.J @t17)) @t16)))
15.54/15.80	(define @t19 () (<= 0 @v.1.J))
15.54/15.80	(define @t20 () (tptp.length1 tptp.int @t17))
15.54/15.80	(define @t21 () (@list @v.1.J))
15.54/15.80	(define @t22 () (tptp.no_zero1 @v.0.L))
15.54/15.80	(define @t23 () (tptp.nil @v.0.A))
15.54/15.80	(define @t24 () (tptp.some @v.0.A @v.0.U))
15.54/15.80	(define @t25 () (@list @v.0.A @v.0.U))
15.54/15.80	(define @t26 () (tptp.cons @v.0.A @v.1.X @v.0.X1))
15.54/15.80	(define @t27 () (tptp.t2tb1 (tptp.tb2t1 @v.0.J)))
15.54/15.80	(define @t28 () (forall @t9 (= @t27 @v.0.J)))
15.54/15.80	(define @t29 () (@list @v.1.X @v.0.X1))
15.54/15.80	(define @t30 () (@list @v.0.A))
15.54/15.80	(define @t31 () (tptp.ref @v.0.A))
15.54/15.80	(define @t32 () (tptp.some @v.0.A @v.1.X))
15.54/15.80	(define @t33 () (tptp.nth1 @v.0.A @v.0.N @t26))
15.54/15.80	(define @t34 () (= @v.0.N 0))
15.54/15.80	(define @t35 () (forall (@list @v.0.A @v.0.N) (and (= (tptp.nth1 @v.0.A @v.0.N @t23) @t6) (forall @t29 (and (=> (not @t34) (= @t33 (tptp.nth1 @v.0.A (- @v.0.N 1) @v.0.X1))) (=> @t34 (= @t33 @t32)))))))
15.54/15.80	(define @t36 () (@list @v.0.A @v.0.A1 @v.1.X @v.0.X1 @v.0.X2))
15.54/15.80	(define @t37 () (tptp.zero_at1 @v.0.L @v.0.I))
15.54/15.80	(define @t38 () (< @v.1.J @v.0.I))
15.54/15.80	(define @t39 () (tptp.tb2t (tptp.nth1 tptp.int @v.0.I @t17)))
15.54/15.80	(define @t40 () (@list @v.0.L @v.0.I))
15.54/15.80	(define @t41 () (forall @t40 (= (and (= @t39 @t16) (forall @t21 (=> (and @t38 @t19) @t18))) @t37)))
15.54/15.80	(define @t42 () (tptp.length1 @v.0.A @v.1.L))
15.54/15.80	(define @t43 () (@list @v.0.A @v.1.L))
15.54/15.80	(define @t44 () (forall @t43 (<= 0 @t42)))
15.54/15.80	(define @t45 () (<= 0 @v.0.I))
15.54/15.80	(define @t46 () (tptp.nil tptp.int))
15.54/15.80	(define @t47 () (tptp.tb2t1 @t46))
15.54/15.80	(define @t48 () (not (= @v.0.S @t47)))
15.54/15.80	(define @t49 () (tptp.t2tb1 @v.0.S))
15.54/15.80	(define @t50 () (not (forall (@list @v.0.L @v.0.S @v.0.I) (=> (and (= (+ @v.0.I (tptp.length1 tptp.int @t49)) @t20) (forall @t21 (=> (and @t19 @t38) @t18)) (forall @t21 (=> @t19 (= (tptp.tb2t (tptp.nth1 tptp.int @v.1.J @t49)) (tptp.tb2t (tptp.nth1 tptp.int (+ @v.0.I @v.1.J) @t17))))) @t45) (=> @t48 (=> @t48 (forall (@list @v.0.O) (=> (exists (@list @v.0.X @v.1.X1) (and (= @v.0.S (tptp.tb2t1 (tptp.cons tptp.int @t4 (tptp.t2tb1 @v.1.X1)))) (= @v.0.O @v.0.X))) (=> (not (not (= @v.0.O 0))) (or (and @t45 @t37 (< @v.0.I @t20)) (and (= @v.0.I @t20) @t22)))))))))))
15.54/15.80	(define @t51 () (= @t42 0))
15.54/15.80	(define @t52 () (forall @t43 (= @t51 (= @v.1.L @t23))))
15.54/15.80	(define @t53 () (tptp.tb2t1 (tptp.cons tptp.int @t14 (tptp.t2tb1 @v.0.BOUND_VARIABLE_1182))))
15.54/15.80	(define @t54 () (tptp.t2tb1 @t53))
15.54/15.80	(define @t55 () (tptp.length1 tptp.int @t54))
15.54/15.80	(define @t56 () (* -1 @t55))
15.54/15.80	(define @t57 () (+ @t20 @t56))
15.54/15.80	(define @t58 () (>= @t57 0))
15.54/15.80	(define @t59 () (not (>= @v.1.J 0)))
15.54/15.80	(define @t60 () (or (not (forall @t21 (or @t59 (>= (+ @v.1.J (* -1 @t20) @t55) 0) @t18))) (not (forall @t21 (or @t59 (= (tptp.tb2t (tptp.nth1 tptp.int @v.1.J @t54)) (tptp.tb2t (tptp.nth1 tptp.int (+ @v.1.J @t20 @t56) @t17)))))) (not @t58) (= @t47 @t53) (and @t58 (tptp.zero_at1 @v.0.L @t57) (>= @t55 1)) (and (= @t55 0) @t22)))
15.54/15.80	(define @t61 () (@list @v.0.L @v.0.BOUND_VARIABLE_1182))
15.54/15.80	(define @t62 () (exists @t61 (not @t60)))
15.54/15.80	(define @t63 () (tptp.t2tb1 (@quantifiers_skolemize @t62 @v.0.BOUND_VARIABLE_1182)))
15.54/15.80	(define @t64 () (tptp.cons tptp.int @t14 @t63))
15.54/15.80	(define @t65 () (forall @t61 @t60))
15.54/15.80	(define @t66 () (not @t65))
15.54/15.80	(define @t67 () (@quantifiers_skolemize @t62 @v.0.L))
15.54/15.80	(define @t68 () (tptp.tb2t1 @t64))
15.54/15.80	(define @t69 () (tptp.t2tb1 @t68))
15.54/15.80	(define @t70 () (tptp.length1 tptp.int @t69))
15.54/15.80	(define @t71 () (= @t70 0))
15.54/15.80	(define @t72 () (and @t71 (tptp.no_zero1 @t67)))
15.54/15.80	(define @t73 () (>= @t70 1))
15.54/15.80	(define @t74 () (* -1 @t70))
15.54/15.80	(define @t75 () (tptp.t2tb1 @t67))
15.54/15.80	(define @t76 () (tptp.length1 tptp.int @t75))
15.54/15.80	(define @t77 () (+ @t76 @t74))
15.54/15.80	(define @t78 () (tptp.zero_at1 @t67 @t77))
15.54/15.80	(define @t79 () (>= @t77 0))
15.54/15.80	(define @t80 () (and @t79 @t78 @t73))
15.54/15.80	(define @t81 () (= @t47 @t68))
15.54/15.80	(define @t82 () (not @t79))
15.54/15.80	(define @t83 () (forall @t21 (or @t59 (= (tptp.tb2t (tptp.nth1 tptp.int @v.1.J @t69)) (tptp.tb2t (tptp.nth1 tptp.int (+ @v.1.J @t76 @t74) @t75))))))
15.54/15.80	(define @t84 () (not @t83))
15.54/15.80	(define @t85 () (tptp.tb2t (tptp.nth1 tptp.int @v.1.J @t75)))
15.54/15.80	(define @t86 () (not (= @t16 @t85)))
15.54/15.80	(define @t87 () (>= (+ @v.1.J (* -1 @t76) @t70) 0))
15.54/15.80	(define @t88 () (forall @t21 (or @t59 @t87 @t86)))
15.54/15.80	(define @t89 () (not @t88))
15.54/15.80	(define @t90 () (or @t89 @t84 @t82 @t81 @t80 @t72))
15.54/15.80	(define @t91 () (not @t90))
15.54/15.80	(define @t92 () (not (= @t85 @t16)))
15.54/15.80	(define @t93 () (not (or (not (forall @t21 (or @t59 @t87 @t92))) @t84 @t82 @t81 @t80 @t72)))
15.54/15.80	(define @t94 () (forall @t21 (or @t87 @t59 @t86)))
15.54/15.80	(define @t95 () (* -1 @v.1.J))
15.54/15.80	(define @t96 () (forall @t40 (= @t37 (and (= @t16 @t39) (forall @t21 (or (not (>= (+ @v.0.I @t95) 1)) @t59 @t18))))))
15.54/15.80	(define @t97 () (tptp.tb2t (tptp.nth1 tptp.int @t77 @t75)))
15.54/15.80	(define @t98 () (= @t16 @t97))
15.54/15.80	(define @t99 () (and @t98 @t94))
15.54/15.80	(define @t100 () (= @t78 @t99))
15.54/15.80	(define @t101 () (@list tptp.int @t69))
15.54/15.80	(define @t102 () (= @t46 @t69))
15.54/15.80	(define @t103 () (= @t71 @t102))
15.54/15.80	(define @t104 () (not @t71))
15.54/15.80	(define @t105 () (not @t78))
15.54/15.80	(define @t106 () (not @t99))
15.54/15.80	(define @t107 () (not @t98))
15.54/15.80	(define @t108 () (tptp.tb2t (tptp.nth1 tptp.int 0 @t69)))
15.54/15.80	(define @t109 () (= @t97 @t108))
15.54/15.80	(define @t110 () (not @t109))
15.54/15.80	(define @t111 () (= @t15 (tptp.nth1 tptp.int 0 @t64)))
15.54/15.80	(define @t112 () (not @t111))
15.54/15.80	(define @t113 () (= @t64 @t69))
15.54/15.80	(define @t114 () (not @t113))
15.54/15.80	(define @t115 () (= @t109 false))
15.54/15.80	(define @t116 () (and @t109 @t110))
15.54/15.80	(assume @p1 (forall @t3 (=> @t2 (= (tptp.cons_proj_11 @v.0.A @t1) @v.0.U))))
15.54/15.80	(assume @p2 (forall (@list @v.0.I) (= (tptp.tb2t2 (tptp.t2tb2 @v.0.I)) @v.0.I)))
15.54/15.80	(assume @p3 (forall (@list @v.0.X) (tptp.sort1 tptp.int @t4)))
15.54/15.80	(assume @p4 (forall (@list @v.0.A @v.0.X @v.0.X1) (tptp.sort1 @t5 (tptp.nth1 @v.0.A @v.0.X @v.0.X1))))
15.54/15.80	(assume @p5 (forall @t8 (=> @t7 (= (tptp.match_option1 @v.0.A1 @v.0.A @t6 @v.0.Z @v.0.Z1) @v.0.Z))))
15.54/15.80	(assume @p6 (forall @t9 (= (tptp.t2tb (tptp.tb2t @v.0.J)) @v.0.J)))
15.54/15.80	(assume @p7 (forall @t11 (tptp.sort1 (tptp.option @t10) (tptp.tl @v.0.A @v.1.X))))
15.54/15.80	(assume @p8 (forall (@list @v.0.A @v.0.A1 @v.0.Z @v.0.Z1 @v.0.U @v.0.U1) (=> @t12 (= (tptp.match_list1 @v.0.A1 @v.0.A @t1 @v.0.Z @v.0.Z1) @v.0.Z1))))
15.54/15.80	(assume @p9 (forall @t13 (=> (tptp.sort1 @v.0.A @v.0.Z1) (= (tptp.match_bool1 @v.0.A tptp.false1 @v.0.Z @v.0.Z1) @v.0.Z1))))
15.54/15.80	(assume @p10 (forall (@list @v.0.A @v.0.V) (not (= @t6 (tptp.some @v.0.A @v.0.V)))))
15.54/15.80	(assume @p11 (forall (@list @v.0.L) (= @t22 (forall @t21 (=> (and (< @v.1.J @t20) @t19) @t18)))))
15.54/15.80	(assume @p12 (forall (@list @v.0.A @v.0.V @v.0.V1) (not (= @t23 (tptp.cons @v.0.A @v.0.V @v.0.V1)))))
15.54/15.80	(assume @p13 (forall @t25 (=> @t2 (= (tptp.some_proj_11 @v.0.A @t24) @v.0.U))))
15.54/15.80	(assume @p14 (forall @t9 (= (tptp.t2tb2 (tptp.tb2t2 @v.0.J)) @v.0.J)))
15.54/15.80	(assume @p15 (forall (@list @v.0.A @v.0.A1 @v.0.Z @v.0.Z1 @v.0.U) (=> @t12 (= (tptp.match_option1 @v.0.A1 @v.0.A @t24 @v.0.Z @v.0.Z1) @v.0.Z1))))
15.54/15.80	(assume @p16 (forall (@list @v.2.X) (tptp.sort1 (tptp.list tptp.int) (tptp.t2tb1 @v.2.X))))
15.54/15.80	(assume @p17 (forall (@list @v.1.I) (= (tptp.tb2t (tptp.t2tb @v.1.I)) @v.1.I)))
15.54/15.80	(assume @p18 (forall (@list @v.0.A @v.1.X @v.0.X1) (tptp.sort1 @t10 @t26)))
15.54/15.80	(assume @p19 (forall @t11 (tptp.sort1 @v.0.A (tptp.contents @v.0.A @v.1.X))))
15.54/15.80	(assume @p20 @t28)
15.54/15.80	(assume @p21 (forall @t11 (tptp.sort1 @t10 (tptp.cons_proj_21 @v.0.A @v.1.X))))
15.54/15.80	(assume @p22 (forall (@list @v.0.A @v.3.X @v.0.X1 @v.0.X2) (tptp.sort1 @v.0.A (tptp.match_bool1 @v.0.A @v.3.X @v.0.X1 @v.0.X2))))
15.54/15.80	(assume @p23 (forall @t30 (and (forall @t29 (= (tptp.tl @v.0.A @t26) (tptp.some @t10 @v.0.X1))) (= (tptp.tl @v.0.A @t23) (tptp.none @t10)))))
15.54/15.80	(assume @p24 (forall @t13 (=> (tptp.sort1 @v.0.A @v.0.Z) (= (tptp.match_bool1 @v.0.A tptp.true1 @v.0.Z @v.0.Z1) @v.0.Z))))
15.54/15.80	(assume @p25 (forall @t30 (tptp.sort1 @v.0.A (tptp.witness1 @v.0.A))))
15.54/15.80	(assume @p26 (forall @t30 (tptp.sort1 @t10 @t23)))
15.54/15.80	(assume @p27 (forall @t11 (tptp.sort1 @t31 (tptp.mk_ref @v.0.A @v.1.X))))
15.54/15.80	(assume @p28 @t35)
15.54/15.80	(assume @p29 (forall @t30 (and (forall @t29 (= (tptp.hd @v.0.A @t26) @t32)) (= (tptp.hd @v.0.A @t23) @t6))))
15.54/15.80	(assume @p30 (forall (@list @v.4.X) (tptp.sort1 (tptp.option tptp.int) (tptp.t2tb @v.4.X))))
15.54/15.80	(assume @p31 (forall (@list @v.1.U) (or (= @v.1.U tptp.true1) (= @v.1.U tptp.false1))))
15.54/15.80	(assume @p32 (not (= tptp.true1 tptp.false1)))
15.54/15.80	(assume @p33 (forall @t36 (tptp.sort1 @v.0.A1 (tptp.match_option1 @v.0.A1 @v.0.A @v.1.X @v.0.X1 @v.0.X2))))
15.54/15.80	(assume @p34 @t41)
15.54/15.80	(assume @p35 (forall @t25 (=> (tptp.sort1 @t31 @v.0.U) (= @v.0.U (tptp.mk_ref @v.0.A (tptp.contents @v.0.A @v.0.U))))))
15.54/15.80	(assume @p36 @t44)
15.54/15.80	(assume @p37 @t50)
15.54/15.80	(assume @p38 @t52)
15.54/15.80	(assume @p39 (forall @t8 (=> @t7 (= (tptp.match_list1 @v.0.A1 @v.0.A @t23 @v.0.Z @v.0.Z1) @v.0.Z))))
15.54/15.80	(assume @p40 (forall (@list @v.2.I) (= (tptp.tb2t1 (tptp.t2tb1 @v.2.I)) @v.2.I)))
15.54/15.80	(assume @p41 (forall @t36 (tptp.sort1 @v.0.A1 (tptp.match_list1 @v.0.A1 @v.0.A @v.1.X @v.0.X1 @v.0.X2))))
15.54/15.80	(assume @p42 (forall @t11 (tptp.sort1 @v.0.A (tptp.cons_proj_11 @v.0.A @v.1.X))))
15.54/15.80	(assume @p43 (forall @t11 (tptp.sort1 @v.0.A (tptp.some_proj_11 @v.0.A @v.1.X))))
15.54/15.80	(assume @p44 (forall @t11 (tptp.sort1 @t5 (tptp.hd @v.0.A @v.1.X))))
15.54/15.80	(assume @p45 (forall @t25 (=> (tptp.sort1 @t5 @v.0.U) (or (= @v.0.U (tptp.some @v.0.A (tptp.some_proj_11 @v.0.A @v.0.U))) (= @v.0.U @t6)))))
15.54/15.80	(assume @p46 (forall (@list @v.2.U) (= @v.2.U tptp.tuple03)))
15.54/15.80	(assume @p47 (forall @t30 (and (forall @t29 (= (tptp.length1 @v.0.A @t26) (+ 1 (tptp.length1 @v.0.A @v.0.X1)))) (= (tptp.length1 @v.0.A @t23) 0))))
15.54/15.80	(assume @p48 (forall @t11 (tptp.sort1 @t5 @t32)))
15.54/15.80	(assume @p49 (forall (@list @v.0.X @v.0.Y @v.1.Z) (=> (<= @v.0.X @v.0.Y) (=> (<= 0 @v.1.Z) (<= (* @v.0.X @v.1.Z) (* @v.0.Y @v.1.Z))))))
15.54/15.80	(assume @p50 (forall @t30 (tptp.sort1 @t5 @t6)))
15.54/15.80	(assume @p51 (forall @t25 (=> @t2 (= (tptp.contents @v.0.A (tptp.mk_ref @v.0.A @v.0.U)) @v.0.U))))
15.54/15.80	(assume @p52 (forall @t25 (or (= @v.0.U (tptp.cons @v.0.A (tptp.cons_proj_11 @v.0.A @v.0.U) (tptp.cons_proj_21 @v.0.A @v.0.U))) (= @v.0.U @t23))))
15.54/15.80	(assume @p53 (forall @t3 (= (tptp.cons_proj_21 @v.0.A @t1) @v.0.U1)))
15.54/15.80	(assume @p54 true)
15.54/15.80	; WARNING: add trust step for MACRO_SR_EQ_INTRO
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p55 :rule trust :premises () :args ((= @t28 (forall @t9 (= @v.0.J @t27)))))
15.54/15.80	(step @p56 :rule eq_resolve :premises (@p20 @p55))
15.54/15.80	(step @p57 :rule instantiate :premises (@p56) :args ((@list @t64)))
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p58 :rule trust :premises () :args ((= @t35 (and (forall (@list @v.0.BOUND_VARIABLE_961 @v.0.BOUND_VARIABLE_963) (= (tptp.none @v.0.BOUND_VARIABLE_961) (tptp.nth1 @v.0.BOUND_VARIABLE_961 @v.0.BOUND_VARIABLE_963 (tptp.nil @v.0.BOUND_VARIABLE_961)))) (forall (@list @v.0.BOUND_VARIABLE_971 @v.0.BOUND_VARIABLE_973 @v.0.BOUND_VARIABLE_1002 @v.0.BOUND_VARIABLE_1000) (or (= @v.0.BOUND_VARIABLE_973 0) (= (tptp.nth1 @v.0.BOUND_VARIABLE_971 @v.0.BOUND_VARIABLE_973 (tptp.cons @v.0.BOUND_VARIABLE_971 @v.0.BOUND_VARIABLE_1000 @v.0.BOUND_VARIABLE_1002)) (tptp.nth1 @v.0.BOUND_VARIABLE_971 (+ -1 @v.0.BOUND_VARIABLE_973) @v.0.BOUND_VARIABLE_1002)))) (forall (@list @v.0.BOUND_VARIABLE_985 @v.0.BOUND_VARIABLE_1013 @v.0.BOUND_VARIABLE_1011) (= (tptp.some @v.0.BOUND_VARIABLE_985 @v.0.BOUND_VARIABLE_1011) (tptp.nth1 @v.0.BOUND_VARIABLE_985 0 (tptp.cons @v.0.BOUND_VARIABLE_985 @v.0.BOUND_VARIABLE_1011 @v.0.BOUND_VARIABLE_1013))))))))
15.54/15.80	(step @p59 :rule eq_resolve :premises (@p28 @p58))
15.54/15.80	(step @p60 :rule and_elim :premises (@p59) :args (2))
15.54/15.80	(step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.int @t63 @t14)))
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p62 :rule trust :premises () :args ((= @t50 @t66)))
15.54/15.80	(step @p63 :rule eq_resolve :premises (@p37 @p62))
15.54/15.80	(step @p64 :rule refl :args (@t91))
15.54/15.80	; WARNING: add trust step for MACRO_SR_PRED_INTRO
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p65 :rule trust :premises () :args ((= (not @t66) @t65)))
15.54/15.80	(step @p66 :rule nary_cong :premises (@p65 @p64) :args (or))
15.54/15.80	; WARNING: add trust step for MACRO_REWRITE
15.54/15.80	; trust MACRO_REWRITE
15.54/15.80	(step @p67 :rule trust :premises () :args ((= (=> @t66 @t93) (=> @t66 @t91))))
15.54/15.80	(assume-push @p68 @t66)
15.54/15.80	(step @p69 :rule skolemize :premises (@p63))
15.54/15.80	(step-pop @p184 :rule scope :premises (@p69))
15.54/15.80	(step @p70 :rule process_scope :premises (@p184) :args (@t93))
15.54/15.80	(step @p72 :rule eq_resolve :premises (@p70 @p67))
15.54/15.80	(step @p73 :rule implies_elim :premises (@p72))
15.54/15.80	(step @p74 :rule eq_resolve :premises (@p73 @p66))
15.54/15.80	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p75 :rule trust :premises (@p74 @p63) :args (@t91))
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p76 :rule trust :premises () :args ((= (not @t89) @t88)))
15.54/15.80	(step @p77 :rule refl :args (@t90))
15.54/15.80	(step @p78 :rule nary_cong :premises (@p77 @p76) :args (or))
15.54/15.80	(step @p79 :rule cnf_or_neg :args (@t90 0))
15.54/15.80	(step @p80 :rule eq_resolve :premises (@p79 @p78))
15.54/15.80	(step @p81 :rule reordering :premises (@p80) :args ((or @t88 @t90)))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p82 :rule trust :premises (@p81 @p75) :args (@t88))
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p83 :rule trust :premises () :args ((= @t88 @t94)))
15.54/15.80	(step @p84 :rule equiv_elim1 :premises (@p83))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p85 :rule trust :premises (@p84 @p82) :args (@t94))
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p86 :rule trust :premises () :args ((= @t41 @t96)))
15.54/15.80	(step @p87 :rule eq_resolve :premises (@p34 @p86))
15.54/15.80	(assume-push @p88 @t96)
15.54/15.80	(step @p89 :rule instantiate :premises (@p87) :args ((@list @t67 @t77)))
15.54/15.80	(step-pop @p185 :rule scope :premises (@p89))
15.54/15.80	(step @p90 :rule process_scope :premises (@p185) :args ((= @t78 (and @t98 (forall @t21 (or (not (>= (+ @t77 @t95) 1)) @t59 @t92))))))
15.54/15.80	; WARNING: add trust step for MACRO_SR_PRED_ELIM
15.54/15.80	; trust MACRO_SR_PRED_ELIM
15.54/15.80	(step @p92 :rule trust :premises (@p90) :args ((=> @t96 @t100)))
15.54/15.80	(step @p93 :rule implies_elim :premises (@p92))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p94 :rule trust :premises (@p93 @p87) :args (@t100))
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p95 :rule trust :premises () :args ((= @t52 (forall @t43 (= @t51 (= @t23 @v.1.L))))))
15.54/15.80	(step @p96 :rule eq_resolve :premises (@p38 @p95))
15.54/15.80	(step @p97 :rule instantiate :premises (@p96) :args (@t101))
15.54/15.80	(step @p98 :rule instantiate :premises (@p12) :args ((@list tptp.int @t14 @t63)))
15.54/15.80	(step @p99 :rule false_intro :premises (@p98))
15.54/15.80	(step @p100 :rule symm :premises (@p57))
15.54/15.80	(step @p101 :rule refl :args (@t46))
15.54/15.80	(step @p102 :rule cong :premises (@p101 @p100) :args (=))
15.54/15.80	(step @p103 :rule trans :premises (@p102 @p99))
15.54/15.80	(step @p104 :rule false_elim :premises (@p103))
15.54/15.80	(step @p105 :rule cnf_equiv_pos1 :args (@t103))
15.54/15.80	(step @p106 :rule reordering :premises (@p105) :args ((or @t104 @t102 (not @t103))))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p107 :rule trust :premises (@p106 @p104 @p97) :args (@t104))
15.54/15.80	; trust MACRO_SR_EQ_INTRO
15.54/15.80	(step @p108 :rule trust :premises () :args ((= @t44 (forall @t43 (>= @t42 0)))))
15.54/15.80	(step @p109 :rule eq_resolve :premises (@p36 @p108))
15.54/15.80	(step @p110 :rule instantiate :premises (@p109) :args (@t101))
15.54/15.80	(step @p111 :rule arith_trichotomy :premises (@p110 @p107))
15.54/15.80	(step @p112 :rule int_tight_lb :premises (@p111))
15.54/15.80	(step @p113 :rule cnf_or_neg :args (@t90 4))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p114 :rule trust :premises (@p113 @p75) :args ((not @t80)))
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p115 :rule trust :premises () :args ((= (not @t82) @t79)))
15.54/15.80	(step @p116 :rule nary_cong :premises (@p77 @p115) :args (or))
15.54/15.80	(step @p117 :rule cnf_or_neg :args (@t90 2))
15.54/15.80	(step @p118 :rule eq_resolve :premises (@p117 @p116))
15.54/15.80	(step @p119 :rule reordering :premises (@p118) :args ((or @t79 @t90)))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p120 :rule trust :premises (@p119 @p75) :args (@t79))
15.54/15.80	(step @p121 :rule cnf_and_neg :args (@t80))
15.54/15.80	(step @p122 :rule reordering :premises (@p121) :args ((or @t82 @t80 @t105 (not @t73))))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p123 :rule trust :premises (@p122 @p120 @p114 @p112) :args (@t105))
15.54/15.80	(step @p124 :rule cnf_equiv_pos2 :args (@t100))
15.54/15.80	(step @p125 :rule reordering :premises (@p124) :args ((or @t78 @t106 (not @t100))))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p126 :rule trust :premises (@p125 @p123 @p94) :args (@t106))
15.54/15.80	(step @p127 :rule cnf_and_neg :args (@t99))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p128 :rule trust :premises (@p127 @p126 @p85) :args (@t107))
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p129 :rule trust :premises () :args ((= (not @t84) @t83)))
15.54/15.80	(step @p130 :rule nary_cong :premises (@p77 @p129) :args (or))
15.54/15.80	(step @p131 :rule cnf_or_neg :args (@t90 1))
15.54/15.80	(step @p132 :rule eq_resolve :premises (@p131 @p130))
15.54/15.80	(step @p133 :rule reordering :premises (@p132) :args ((or @t83 @t90)))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p134 :rule trust :premises (@p133 @p75) :args (@t83))
15.54/15.80	(assume-push @p135 @t83)
15.54/15.80	(step @p136 :rule instantiate :premises (@p134) :args ((@list 0)))
15.54/15.80	(step-pop @p186 :rule scope :premises (@p136))
15.54/15.80	(step @p137 :rule process_scope :premises (@p186) :args ((or (not (>= 0 0)) (= @t108 (tptp.tb2t (tptp.nth1 tptp.int (+ 0 @t76 @t74) @t75))))))
15.54/15.80	; trust MACRO_SR_PRED_ELIM
15.54/15.80	(step @p139 :rule trust :premises (@p137) :args ((=> @t83 @t109)))
15.54/15.80	(step @p140 :rule implies_elim :premises (@p139))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p141 :rule trust :premises (@p140 @p134) :args (@t109))
15.54/15.80	(step @p142 :rule refl :args (@t110))
15.54/15.80	; trust MACRO_SR_PRED_INTRO
15.54/15.80	(step @p143 :rule trust :premises () :args ((= (not @t107) @t98)))
15.54/15.80	(step @p144 :rule refl :args (@t112))
15.54/15.80	(step @p145 :rule refl :args (@t114))
15.54/15.80	(step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (or))
15.54/15.80	(assume-push @p147 @t109)
15.54/15.80	(assume-push @p148 @t110)
15.54/15.80	(step @p149 :rule true_intro :premises (@p141))
15.54/15.80	(step @p150 :rule false_intro :premises (@p128))
15.54/15.80	(step @p151 :rule refl :args (@t97))
15.54/15.80	(step @p152 :rule symm :premises (@p61))
15.54/15.80	(step @p153 :rule refl :args (0))
15.54/15.80	(step @p154 :rule refl :args (tptp.int))
15.54/15.80	(step @p155 :rule cong :premises (@p154 @p153 @p100) :args (tptp.nth1))
15.54/15.80	(step @p156 :rule trans :premises (@p155 @p152))
15.54/15.80	(step @p157 :rule cong :premises (@p156) :args (tptp.tb2t))
15.54/15.80	(step @p158 :rule cong :premises (@p157 @p151) :args (=))
15.54/15.80	(step @p159 :rule trans :premises (@p158 @p150))
15.54/15.80	; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM
15.54/15.80	; trust MACRO_SR_PRED_TRANSFORM
15.54/15.80	(step @p160 :rule trust :premises (@p159) :args (@t115))
15.54/15.80	(step @p161 :rule symm :premises (@p160))
15.54/15.80	(step @p162 :rule trans :premises (@p161 @p149))
15.54/15.80	; trust MACRO_SR_PRED_ELIM
15.54/15.80	(step @p163 false :rule trust :premises (@p162) :args (false))
15.54/15.80	(step-pop @p187 :rule scope :premises (@p163))
15.54/15.80	(step-pop @p188 :rule scope :premises (@p187))
15.54/15.80	(step @p164 :rule process_scope :premises (@p188) :args (false))
15.54/15.80	(assume-push @p167 @t113)
15.54/15.80	(assume-push @p168 @t111)
15.54/15.80	(assume-push @p169 @t107)
15.54/15.80	(assume-push @p170 @t109)
15.54/15.80	; trust MACRO_SR_PRED_TRANSFORM
15.54/15.80	(step @p171 :rule trust :premises (@p159) :args (@t115))
15.54/15.80	(step @p172 :rule false_elim :premises (@p171))
15.54/15.80	(step @p173 :rule and_intro :premises (@p141 @p172))
15.54/15.80	(step-pop @p189 :rule scope :premises (@p173))
15.54/15.80	(step-pop @p190 :rule scope :premises (@p189))
15.54/15.80	(step-pop @p191 :rule scope :premises (@p190))
15.54/15.80	(step-pop @p192 :rule scope :premises (@p191))
15.54/15.80	(step @p174 :rule process_scope :premises (@p192) :args (@t116))
15.54/15.80	(step @p179 :rule implies_elim :premises (@p174))
15.54/15.80	(step @p180 :rule resolution :premises (@p179 @p164) :args (true @t116))
15.54/15.80	(step @p181 :rule not_and :premises (@p180))
15.54/15.80	(step @p182 :rule eq_resolve :premises (@p181 @p146))
15.54/15.80	(step @p183 :rule reordering :premises (@p182) :args ((or @t98 @t114 @t112 @t110)))
15.54/15.80	; trust MACRO_RESOLUTION_TRUST
15.54/15.80	(step @p184 false :rule trust :premises (@p183 @p141 @p128 @p61 @p57) :args (false))
15.54/15.80	
15.54/15.80	% SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.zF7tjqWPaa/cvc5---1.0.5_22892.smt2
15.54/15.80	% cvc5---1.0.5 exiting
15.65/15.80	% cvc5---1.0.5 exiting
15.65/15.81	EOF