0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 120 THM
0.13/0.33	% Computer : n031.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 960
0.13/0.33	% WCLimit  : 120
0.13/0.33	% DateTime : Fri Sep  5 12:12:37 EDT 2025
0.13/0.34	% CPUTime  : 
0.50/0.74	%----Proving TF0_ARI
80.90/81.15	--- Run --finite-model-find --decision=internal at 18...
80.90/81.15	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
80.90/81.15	--- Run --no-e-matching --full-saturate-quant at 18...
80.90/81.15	--- Run --cegqi-all --purify-triggers --full-saturate-quant at 18...
80.90/81.15	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --no-cegqi --no-sygus-inst at 18...
80.90/81.15	% SZS status Theorem
80.90/81.15	% SZS output start Proof
80.90/81.15	(
80.90/81.15	(declare-type |tptp.'Pratt_bool_fun$'| ())
80.90/81.15	(declare-type |tptp.'Nat_list$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_list_pratt_list_bool_fun_fun$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_set$'| ())
80.90/81.15	(declare-type |tptp.'Nat_multiset_nat_multiset_fun$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_list_pratt_list_list_fun$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_list_list$'| ())
80.90/81.15	(declare-type |tptp.'Nat_set$'| ())
80.90/81.15	(declare-type |tptp.'Nat_multiset$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_list_bool_fun$'| ())
80.90/81.15	(declare-type |tptp.'Int_set$'| ())
80.90/81.15	(declare-type |tptp.'Nat$'| ())
80.90/81.15	(declare-type |tptp.'Nat_int_fun$'| ())
80.90/81.15	(declare-type tptp.tlbool ())
80.90/81.15	(declare-type |tptp.'Pratt$'| ())
80.90/81.15	(declare-type |tptp.'Nat_bool_fun$'| ())
80.90/81.15	(declare-type |tptp.'Int_bool_fun$'| ())
80.90/81.15	(declare-type |tptp.'Int_multiset$'| ())
80.90/81.15	(declare-type |tptp.'Int_multiset_int_multiset_fun$'| ())
80.90/81.15	(declare-type |tptp.'Nat_nat_fun$'| ())
80.90/81.15	(declare-type |tptp.'Int_int_fun$'| ())
80.90/81.15	(declare-type |tptp.'Pratt_list$'| ())
80.90/81.15	(declare-const |tptp.'collect$a'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat_set$'|))
80.90/81.15	(declare-const |tptp.'uub$'| (-> |tptp.'Pratt_set$'| |tptp.'Pratt_bool_fun$'|))
80.90/81.15	(declare-const tptp.tlfalse tptp.tlbool)
80.90/81.15	(declare-const |tptp.'fun_app$i'| (-> |tptp.'Pratt_list_pratt_list_bool_fun_fun$'| |tptp.'Pratt_list$'| |tptp.'Pratt_list_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'fun_app$a'| (-> |tptp.'Pratt_bool_fun$'| |tptp.'Pratt$'| Bool))
80.90/81.15	(declare-const |tptp.'collect$b'| (-> |tptp.'Pratt_bool_fun$'| |tptp.'Pratt_set$'|))
80.90/81.15	(declare-const |tptp.'pratt_triple$'| (-> |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'t$'| |tptp.'Pratt$'|)
80.90/81.15	(declare-const |tptp.'c$'| |tptp.'Pratt_list$'|)
80.90/81.15	(declare-const |tptp.'set$a'| (-> |tptp.'Nat_list$'| |tptp.'Nat_set$'|))
80.90/81.15	(declare-const |tptp.'cons$b'| (-> |tptp.'Nat$'| |tptp.'Nat_list$'| |tptp.'Nat_list$'|))
80.90/81.15	(declare-const |tptp.'ta$'| |tptp.'Pratt$'|)
80.90/81.15	(declare-const |tptp.'accp$'| (-> |tptp.'Pratt_list_pratt_list_bool_fun_fun$'| |tptp.'Pratt_list_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'valid_cert_rel$'| |tptp.'Pratt_list_pratt_list_bool_fun_fun$'|)
80.90/81.15	(declare-const |tptp.'cons$'| (-> |tptp.'Pratt$'| |tptp.'Pratt_list$'| |tptp.'Pratt_list$'|))
80.90/81.15	(declare-const |tptp.'nil$'| |tptp.'Pratt_list$'|)
80.90/81.15	(declare-const |tptp.'fun_app$'| (-> |tptp.'Int_int_fun$'| Int Int))
80.90/81.15	(declare-const |tptp.'power$'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|))
80.90/81.15	(declare-const |tptp.'divide$'| (-> Int |tptp.'Int_int_fun$'|))
80.90/81.15	(declare-const |tptp.'zero$'| |tptp.'Nat$'|)
80.90/81.15	(declare-const |tptp.'size_pratt$'| (-> |tptp.'Pratt$'| |tptp.'Nat$'|))
80.90/81.15	(declare-const |tptp.'zero$b'| |tptp.'Nat_multiset$'|)
80.90/81.15	(declare-const |tptp.'fun_app$f'| (-> |tptp.'Nat_int_fun$'| |tptp.'Nat$'| Int))
80.90/81.15	(declare-const |tptp.'cong$a'| (-> Int Int |tptp.'Int_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'power$a'| (-> Int |tptp.'Nat_int_fun$'|))
80.90/81.15	(declare-const |tptp.'fun_app$e'| (-> |tptp.'Pratt_list_bool_fun$'| |tptp.'Pratt_list$'| Bool))
80.90/81.15	(declare-const |tptp.'times$'| (-> Int Int Int))
80.90/81.15	(declare-const |tptp.'set_mset$'| (-> |tptp.'Nat_multiset$'| |tptp.'Nat_set$'|))
80.90/81.15	(declare-const |tptp.'dvd$a'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'triple$'| (-> |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'Pratt$'|))
80.90/81.15	(declare-const |tptp.'fun_app$b'| (-> |tptp.'Nat_bool_fun$'| |tptp.'Nat$'| Bool))
80.90/81.15	(declare-const |tptp.'member$a'| (-> |tptp.'Nat$'| |tptp.'Nat_set$'| Bool))
80.90/81.15	(declare-const |tptp.'nat$'| (-> Int |tptp.'Nat$'|))
80.90/81.15	(declare-const |tptp.'zero$a'| |tptp.'Int_multiset$'|)
80.90/81.15	(declare-const |tptp.'dvd$'| (-> Int |tptp.'Int_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'member$'| (-> |tptp.'Pratt$'| |tptp.'Pratt_set$'| Bool))
80.90/81.15	(declare-const |tptp.'times$a'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|))
80.90/81.15	(declare-const |tptp.'cong$'| (-> |tptp.'Nat$'| |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'set$'| (-> |tptp.'Pratt_list$'| |tptp.'Pratt_set$'|))
80.90/81.15	(declare-const |tptp.'fun_app$c'| (-> |tptp.'Int_bool_fun$'| Int Bool))
80.90/81.15	(declare-const |tptp.'minus$b'| (-> |tptp.'Int_multiset$'| |tptp.'Int_multiset_int_multiset_fun$'|))
80.90/81.15	(declare-const |tptp.'totient$'| (-> |tptp.'Nat$'| |tptp.'Nat$'|))
80.90/81.15	(declare-const |tptp.'fun_app$h'| (-> |tptp.'Int_multiset_int_multiset_fun$'| |tptp.'Int_multiset$'| |tptp.'Int_multiset$'|))
80.90/81.15	(declare-const |tptp.'n_lists$'| (-> |tptp.'Nat$'| |tptp.'Pratt_list_pratt_list_list_fun$'|))
80.90/81.15	(declare-const |tptp.'prime$a'| |tptp.'Nat_bool_fun$'|)
80.90/81.15	(declare-const |tptp.'of_nat$'| (-> |tptp.'Nat$'| Int))
80.90/81.15	(declare-const |tptp.'minus$'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|))
80.90/81.15	(declare-const |tptp.'fun_app$d'| (-> |tptp.'Nat_nat_fun$'| |tptp.'Nat$'| |tptp.'Nat$'|))
80.90/81.15	(declare-const |tptp.'one$'| |tptp.'Nat$'|)
80.90/81.15	(declare-const |tptp.'uuc$'| (-> Int |tptp.'Int_int_fun$'|))
80.90/81.15	(declare-const |tptp.'less$'| (-> |tptp.'Nat$'| |tptp.'Nat_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'prime_factorization$'| (-> |tptp.'Nat$'| |tptp.'Nat_multiset$'|))
80.90/81.15	(declare-const |tptp.'prime_factorization$a'| (-> Int |tptp.'Int_multiset$'|))
80.90/81.15	(declare-const |tptp.'fun_app$j'| (-> |tptp.'Pratt_list_pratt_list_list_fun$'| |tptp.'Pratt_list$'| |tptp.'Pratt_list_list$'|))
80.90/81.15	(declare-const |tptp.'set_mset$a'| (-> |tptp.'Int_multiset$'| |tptp.'Int_set$'|))
80.90/81.15	(declare-const |tptp.'member$b'| (-> Int |tptp.'Int_set$'| Bool))
80.90/81.15	(declare-const tptp.tltrue tptp.tlbool)
80.90/81.15	(declare-const |tptp.'prime$b'| |tptp.'Int_bool_fun$'|)
80.90/81.15	(declare-const |tptp.'divide$a'| (-> |tptp.'Nat$'| |tptp.'Nat_nat_fun$'|))
80.90/81.15	(declare-const |tptp.'xa$'| |tptp.'Nat$'|)
80.90/81.15	(declare-const |tptp.'pa$'| |tptp.'Nat$'|)
80.90/81.15	(declare-const |tptp.'aa$'| |tptp.'Nat$'|)
80.90/81.15	(declare-const |tptp.'minus$a'| (-> |tptp.'Nat_multiset$'| |tptp.'Nat_multiset_nat_multiset_fun$'|))
80.90/81.15	(declare-const |tptp.'y$'| |tptp.'Pratt$'|)
80.90/81.15	(declare-const |tptp.'nil$a'| |tptp.'Pratt_list_list$'|)
80.90/81.15	(declare-const |tptp.'valid_cert$'| |tptp.'Pratt_list_bool_fun$'|)
80.90/81.15	(declare-const |tptp.'cons$a'| (-> |tptp.'Pratt_list$'| |tptp.'Pratt_list_list$'| |tptp.'Pratt_list_list$'|))
80.90/81.15	(declare-const |tptp.'fun_app$g'| (-> |tptp.'Nat_multiset_nat_multiset_fun$'| |tptp.'Nat_multiset$'| |tptp.'Nat_multiset$'|))
80.90/81.15	(declare-const |tptp.'uua$'| (-> |tptp.'Nat_set$'| |tptp.'Nat_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'uu$'| (-> |tptp.'Int_set$'| |tptp.'Int_bool_fun$'|))
80.90/81.15	(declare-const |tptp.'collect$'| (-> |tptp.'Int_bool_fun$'| |tptp.'Int_set$'|))
80.90/81.15	(declare-const |tptp.'prime$'| (-> |tptp.'Nat$'| |tptp.'Pratt$'|))
80.90/81.15	(declare-const |tptp.'ys$'| |tptp.'Pratt_list$'|)
80.90/81.15	(define @t1 () (|tptp.'nat$'| 0))
80.90/81.15	(define @t2 () (@var "A__questionmark_v0" |tptp.'Nat$'|))
80.90/81.15	(define @t3 () (|tptp.'dvd$a'| @t2))
80.90/81.15	(define @t4 () (|tptp.'fun_app$b'| @t3 @t1))
80.90/81.15	(define @t5 () (@list @t2))
80.90/81.15	(define @t6 () (@var "A__questionmark_v2" Int))
80.90/81.15	(define @t7 () (@var "A__questionmark_v0" Int))
80.90/81.15	(define @t8 () (|tptp.'times$'| @t7 @t6))
80.90/81.15	(define @t9 () (@var "A__questionmark_v1" Int))
80.90/81.15	(define @t10 () (|tptp.'times$'| @t7 @t9))
80.90/81.15	(define @t11 () (|tptp.'dvd$'| @t10))
80.90/81.15	(define @t12 () (|tptp.'fun_app$c'| @t11 @t8))
80.90/81.15	(define @t13 () (|tptp.'dvd$'| @t9))
80.90/81.15	(define @t14 () (|tptp.'fun_app$c'| @t13 @t6))
80.90/81.15	(define @t15 () (= @t7 0))
80.90/81.15	(define @t16 () (@list @t7 @t9 @t6))
80.90/81.15	(define @t17 () (|tptp.'dvd$'| @t7))
80.90/81.15	(define @t18 () (|tptp.'fun_app$c'| @t17 1))
80.90/81.15	(define @t19 () (|tptp.'fun_app$c'| @t13 1))
80.90/81.15	(define @t20 () (|tptp.'fun_app$c'| @t17 @t9))
80.90/81.15	(define @t21 () (@list @t7 @t9))
80.90/81.15	(define @t22 () (@var "A__questionmark_v0" |tptp.'Int_multiset$'|))
80.90/81.15	(define @t23 () (|tptp.'minus$b'| @t22))
80.90/81.15	(define @t24 () (@list @t22))
80.90/81.15	(define @t25 () (@list @t7))
80.90/81.15	(define @t26 () (@var "A__questionmark_v1" |tptp.'Nat$'|))
80.90/81.15	(define @t27 () (|tptp.'dvd$a'| @t26))
80.90/81.15	(define @t28 () (|tptp.'fun_app$b'| @t27 @t2))
80.90/81.15	(define @t29 () (@var "A__questionmark_v2" |tptp.'Nat$'|))
80.90/81.15	(define @t30 () (|tptp.'times$a'| @t26))
80.90/81.15	(define @t31 () (|tptp.'fun_app$d'| @t30 @t29))
80.90/81.15	(define @t32 () (@list @t2 @t26 @t29))
80.90/81.15	(define @t33 () (|tptp.'times$a'| @t2))
80.90/81.15	(define @t34 () (|tptp.'fun_app$d'| @t33 @t26))
80.90/81.15	(define @t35 () (|tptp.'less$'| |tptp.'one$'|))
80.90/81.15	(define @t36 () (|tptp.'fun_app$b'| @t35 @t2))
80.90/81.15	(define @t37 () (@list @t2 @t26))
80.90/81.15	(define @t38 () (|tptp.'of_nat$'| @t2))
80.90/81.15	(define @t39 () (< 0 @t38))
80.90/81.15	(define @t40 () (|tptp.'fun_app$b'| |tptp.'prime$a'| @t2))
80.90/81.15	(define @t41 () (|tptp.'of_nat$'| @t26))
80.90/81.15	(define @t42 () (|tptp.'divide$'| @t38))
80.90/81.15	(define @t43 () (|tptp.'fun_app$'| @t42 @t41))
80.90/81.15	(define @t44 () (= @t41 1))
80.90/81.15	(define @t45 () (not @t15))
80.90/81.15	(define @t46 () (= @t9 @t8))
80.90/81.15	(define @t47 () (@list @t6))
80.90/81.15	(define @t48 () (|tptp.'times$'| @t6 @t7))
80.90/81.15	(define @t49 () (|tptp.'times$'| @t9 @t7))
80.90/81.15	(define @t50 () (|tptp.'dvd$'| @t49))
80.90/81.15	(define @t51 () (|tptp.'power$a'| @t7))
80.90/81.15	(define @t52 () (|tptp.'fun_app$f'| @t51 @t26))
80.90/81.15	(define @t53 () (|tptp.'of_nat$'| @t29))
80.90/81.15	(define @t54 () (|tptp.'times$'| @t41 @t53))
80.90/81.15	(define @t55 () (|tptp.'nat$'| @t54))
80.90/81.15	(define @t56 () (@list @t7 @t26 @t29))
80.90/81.15	(define @t57 () (|tptp.'triple$'| @t2 @t26 @t29))
80.90/81.15	(define @t58 () (< 1 @t38))
80.90/81.15	(define @t59 () (= @t41 @t38))
80.90/81.15	(define @t60 () (@list @t26))
80.90/81.15	(define @t61 () (|tptp.'power$'| @t2))
80.90/81.15	(define @t62 () (|tptp.'fun_app$d'| @t61 @t26))
80.90/81.15	(define @t63 () (= @t62 |tptp.'zero$'|))
80.90/81.15	(define @t64 () (= @t2 |tptp.'zero$'|))
80.90/81.15	(define @t65 () (not @t64))
80.90/81.15	(define @t66 () (@var "A__questionmark_v3" |tptp.'Nat$'|))
80.90/81.15	(define @t67 () (|tptp.'power$'| @t26))
80.90/81.15	(define @t68 () (|tptp.'fun_app$d'| @t67 @t66))
80.90/81.15	(define @t69 () (|tptp.'fun_app$d'| @t61 @t66))
80.90/81.15	(define @t70 () (|tptp.'cong$'| @t2 @t26))
80.90/81.15	(define @t71 () (|tptp.'fun_app$b'| @t70 @t29))
80.90/81.15	(define @t72 () (@list @t2 @t26 @t29 @t66))
80.90/81.15	(define @t73 () (|tptp.'times$'| @t9 @t6))
80.90/81.15	(define @t74 () (< @t7 @t9))
80.90/81.15	(define @t75 () (< 0 @t6))
80.90/81.15	(define @t76 () (and @t75 @t74))
80.90/81.15	(define @t77 () (|tptp.'times$'| @t38 @t53))
80.90/81.15	(define @t78 () (|tptp.'times$'| @t38 @t41))
80.90/81.15	(define @t79 () (- @t78 @t77))
80.90/81.15	(define @t80 () (|tptp.'times$'| @t38 0))
80.90/81.15	(define @t81 () (< @t78 @t77))
80.90/81.15	(define @t82 () (not @t81))
80.90/81.15	(define @t83 () (< @t41 @t53))
80.90/81.15	(define @t84 () (- @t41 @t53))
80.90/81.15	(define @t85 () (|tptp.'times$'| @t38 @t84))
80.90/81.15	(define @t86 () (not @t83))
80.90/81.15	(define @t87 () (@var "A__questionmark_v3" Int))
80.90/81.15	(define @t88 () (|tptp.'times$'| @t9 @t87))
80.90/81.15	(define @t89 () (|tptp.'times$'| @t7 @t87))
80.90/81.15	(define @t90 () (|tptp.'cong$a'| @t7 @t9))
80.90/81.15	(define @t91 () (|tptp.'fun_app$c'| @t90 @t6))
80.90/81.15	(define @t92 () (@list @t7 @t9 @t6 @t87))
80.90/81.15	(define @t93 () (@var "A__questionmark_v4" Int))
80.90/81.15	(define @t94 () (= @t7 (|tptp.'times$'| @t87 @t93)))
80.90/81.15	(define @t95 () (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t93) @t6))
80.90/81.15	(define @t96 () (|tptp.'dvd$'| @t87))
80.90/81.15	(define @t97 () (|tptp.'fun_app$c'| @t96 @t9))
80.90/81.15	(define @t98 () (@list @t87 @t93))
80.90/81.15	(define @t99 () (|tptp.'fun_app$c'| @t17 @t73))
80.90/81.15	(define @t100 () (|tptp.'times$'| @t6 @t87))
80.90/81.15	(define @t101 () (- @t7 @t9))
80.90/81.15	(define @t102 () (|tptp.'dvd$'| @t6))
80.90/81.15	(define @t103 () (|tptp.'fun_app$c'| @t102 @t87))
80.90/81.15	(define @t104 () (@var "A__questionmark_v0" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t105 () (@var "A__questionmark_v1" |tptp.'Pratt_list_bool_fun$'|))
80.90/81.15	(define @t106 () (@var "A__questionmark_v3" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t107 () (@var "A__questionmark_v2" |tptp.'Pratt$'|))
80.90/81.15	(define @t108 () (|tptp.'cons$'| @t107 @t106))
80.90/81.15	(define @t109 () (@list @t107 @t106))
80.90/81.15	(define @t110 () (@list @t107))
80.90/81.15	(define @t111 () (= @t104 |tptp.'nil$'|))
80.90/81.15	(define @t112 () (not @t111))
80.90/81.15	(define @t113 () (|tptp.'prime_factorization$a'| @t7))
80.90/81.15	(define @t114 () (|tptp.'set_mset$a'| @t113))
80.90/81.15	(define @t115 () (|tptp.'fun_app$c'| |tptp.'prime$b'| @t9))
80.90/81.15	(define @t116 () (|tptp.'fun_app$c'| @t13 @t7))
80.90/81.15	(define @t117 () (= @t26 @t29))
80.90/81.15	(define @t118 () (|tptp.'times$a'| @t29))
80.90/81.15	(define @t119 () (|tptp.'fun_app$d'| @t118 @t2))
80.90/81.15	(define @t120 () (|tptp.'fun_app$d'| @t30 @t2))
80.90/81.15	(define @t121 () (= @t120 @t119))
80.90/81.15	(define @t122 () (|tptp.'fun_app$b'| @t3 |tptp.'one$'|))
80.90/81.15	(define @t123 () (< 0 @t41))
80.90/81.15	(define @t124 () (< @t9 @t7))
80.90/81.15	(define @t125 () (|tptp.'divide$a'| @t2))
80.90/81.15	(define @t126 () (|tptp.'divide$a'| @t26))
80.90/81.15	(define @t127 () (|tptp.'fun_app$d'| @t126 @t2))
80.90/81.15	(define @t128 () (= (= @t26 @t119) (= @t127 @t29)))
80.90/81.15	(define @t129 () (= @t62 |tptp.'one$'|))
80.90/81.15	(define @t130 () (= @t41 0))
80.90/81.15	(define @t131 () (= @t2 @t26))
80.90/81.15	(define @t132 () (< 0 @t53))
80.90/81.15	(define @t133 () (|tptp.'fun_app$d'| @t61 @t29))
80.90/81.15	(define @t134 () (= @t133 @t68))
80.90/81.15	(define @t135 () (|tptp.'fun_app$b'| |tptp.'prime$a'| @t26))
80.90/81.15	(define @t136 () (|tptp.'of_nat$'| |tptp.'xa$'|))
80.90/81.15	(define @t137 () (< 0 @t136))
80.90/81.15	(define @t138 () (|tptp.'nat$'| 1))
80.90/81.15	(define @t139 () (|tptp.'divide$'| 0))
80.90/81.15	(define @t140 () (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t38)))
80.90/81.15	(define @t141 () (|tptp.'power$'| |tptp.'aa$'|))
80.90/81.15	(define @t142 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t141 @t140) @t138) |tptp.'pa$'|))
80.90/81.15	(define @t143 () (|tptp.'of_nat$'| |tptp.'pa$'|))
80.90/81.15	(define @t144 () (< @t143 1))
80.90/81.15	(define @t145 () (=> @t144 @t142))
80.90/81.15	(define @t146 () (- @t143 1))
80.90/81.15	(define @t147 () (|tptp.'divide$'| @t146))
80.90/81.15	(define @t148 () (|tptp.'fun_app$'| @t147 @t38))
80.90/81.15	(define @t149 () (|tptp.'nat$'| @t148))
80.90/81.15	(define @t150 () (|tptp.'fun_app$d'| @t141 @t149))
80.90/81.15	(define @t151 () (|tptp.'cong$'| @t150 @t138))
80.90/81.15	(define @t152 () (|tptp.'fun_app$b'| @t151 |tptp.'pa$'|))
80.90/81.15	(define @t153 () (not @t144))
80.90/81.15	(define @t154 () (=> @t153 @t152))
80.90/81.15	(define @t155 () (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| |tptp.'xa$'|)))
80.90/81.15	(define @t156 () (|tptp.'member$a'| @t2 @t155))
80.90/81.15	(define @t157 () (= @t136 1))
80.90/81.15	(define @t158 () (|tptp.'triple$'| |tptp.'pa$'| |tptp.'aa$'| |tptp.'xa$'|))
80.90/81.15	(define @t159 () (= |tptp.'y$'| @t158))
80.90/81.15	(define @t160 () (- @t7 @t6))
80.90/81.15	(define @t161 () (|tptp.'minus$'| @t2))
80.90/81.15	(define @t162 () (= @t41 @t53))
80.90/81.15	(define @t163 () (= @t38 0))
80.90/81.15	(define @t164 () (= @t78 @t77))
80.90/81.15	(define @t165 () (- @t41 @t38))
80.90/81.15	(define @t166 () (< @t41 @t38))
80.90/81.15	(define @t167 () (not @t166))
80.90/81.15	(define @t168 () (|tptp.'fun_app$b'| @t3 @t26))
80.90/81.15	(define @t169 () (and @t28 @t135))
80.90/81.15	(define @t170 () (not @t122))
80.90/81.15	(define @t171 () (|tptp.'fun_app$f'| @t51 @t29))
80.90/81.15	(define @t172 () (= @t52 @t171))
80.90/81.15	(define @t173 () (< 1 @t7))
80.90/81.15	(define @t174 () (< @t38 @t38))
80.90/81.15	(define @t175 () (@var "A__questionmark_v4" |tptp.'Nat$'|))
80.90/81.15	(define @t176 () (|tptp.'fun_app$d'| @t61 @t175))
80.90/81.15	(define @t177 () (|tptp.'of_nat$'| @t176))
80.90/81.15	(define @t178 () (@list @t175))
80.90/81.15	(define @t179 () (|tptp.'of_nat$'| @t69))
80.90/81.15	(define @t180 () (|tptp.'power$'| @t29))
80.90/81.15	(define @t181 () (|tptp.'fun_app$d'| @t180 @t26))
80.90/81.15	(define @t182 () (not @t130))
80.90/81.15	(define @t183 () (|tptp.'power$a'| @t9))
80.90/81.15	(define @t184 () (|tptp.'fun_app$f'| @t183 @t29))
80.90/81.15	(define @t185 () (|tptp.'divide$'| @t9))
80.90/81.15	(define @t186 () (|tptp.'fun_app$'| @t185 @t7))
80.90/81.15	(define @t187 () (@list @t7 @t9 @t29))
80.90/81.15	(define @t188 () (|tptp.'fun_app$c'| @t11 @t6))
80.90/81.15	(define @t189 () (|tptp.'fun_app$d'| @t33 @t29))
80.90/81.15	(define @t190 () (|tptp.'fun_app$d'| @t33 @t31))
80.90/81.15	(define @t191 () (|tptp.'cons$a'| |tptp.'nil$'| |tptp.'nil$a'|))
80.90/81.15	(define @t192 () (|tptp.'fun_app$j'| (|tptp.'n_lists$'| @t2) |tptp.'nil$'|))
80.90/81.15	(define @t193 () (not @t163))
80.90/81.15	(define @t194 () (|tptp.'prime_factorization$'| @t2))
80.90/81.15	(define @t195 () (= @t194 |tptp.'zero$b'|))
80.90/81.15	(define @t196 () (@list @t7 @t26))
80.90/81.15	(define @t197 () (|tptp.'fun_app$d'| (|tptp.'power$'| |tptp.'zero$'|) @t2))
80.90/81.15	(define @t198 () (= @t197 |tptp.'zero$'|))
80.90/81.15	(define @t199 () (= @t38 @t41))
80.90/81.15	(define @t200 () (= 0 0))
80.90/81.15	(define @t201 () (< @t38 @t41))
80.90/81.15	(define @t202 () (- @t38 @t41))
80.90/81.15	(define @t203 () (not @t201))
80.90/81.15	(define @t204 () (@var "A__questionmark_v0" |tptp.'Nat_bool_fun$'|))
80.90/81.15	(define @t205 () (|tptp.'fun_app$b'| @t204 @t26))
80.90/81.15	(define @t206 () (|tptp.'fun_app$b'| @t204 @t66))
80.90/81.15	(define @t207 () (|tptp.'of_nat$'| @t66))
80.90/81.15	(define @t208 () (< @t207 @t53))
80.90/81.15	(define @t209 () (@list @t66))
80.90/81.15	(define @t210 () (exists @t209 (and @t208 (not @t206))))
80.90/81.15	(define @t211 () (|tptp.'fun_app$b'| @t204 @t29))
80.90/81.15	(define @t212 () (not @t211))
80.90/81.15	(define @t213 () (@list @t29))
80.90/81.15	(define @t214 () (@list @t204 @t26))
80.90/81.15	(define @t215 () (|tptp.'fun_app$'| @t185 @t6))
80.90/81.15	(define @t216 () (|tptp.'divide$'| @t10))
80.90/81.15	(define @t217 () (|tptp.'fun_app$'| @t216 @t8))
80.90/81.15	(define @t218 () (=> @t45 (= @t217 @t215)))
80.90/81.15	(define @t219 () (|tptp.'divide$a'| |tptp.'one$'|))
80.90/81.15	(define @t220 () (|tptp.'fun_app$d'| @t219 @t2))
80.90/81.15	(define @t221 () (|tptp.'fun_app$b'| @t3 @t29))
80.90/81.15	(define @t222 () (and @t221 @t168))
80.90/81.15	(define @t223 () (|tptp.'dvd$'| 0))
80.90/81.15	(define @t224 () (|tptp.'fun_app$b'| @t27 @t29))
80.90/81.15	(define @t225 () (|tptp.'dvd$a'| @t34))
80.90/81.15	(define @t226 () (|tptp.'fun_app$b'| @t27 @t119))
80.90/81.15	(define @t227 () (= @t53 @t207))
80.90/81.15	(define @t228 () (= @t7 @t9))
80.90/81.15	(define @t229 () (= @t207 0))
80.90/81.15	(define @t230 () (= @t53 0))
80.90/81.15	(define @t231 () (|tptp.'fun_app$f'| @t183 @t66))
80.90/81.15	(define @t232 () (= @t171 @t231))
80.90/81.15	(define @t233 () (|tptp.'fun_app$c'| |tptp.'prime$b'| @t7))
80.90/81.15	(define @t234 () (@list @t7 @t9 @t29 @t66))
80.90/81.15	(define @t235 () (< @t10 @t8))
80.90/81.15	(define @t236 () (< @t6 @t9))
80.90/81.15	(define @t237 () (< @t7 0))
80.90/81.15	(define @t238 () (|tptp.'divide$'| @t6))
80.90/81.15	(define @t239 () (|tptp.'fun_app$'| @t238 @t7))
80.90/81.15	(define @t240 () (|tptp.'divide$'| @t239))
80.90/81.15	(define @t241 () (= (|tptp.'fun_app$'| @t238 @t10) (|tptp.'fun_app$'| @t240 @t9)))
80.90/81.15	(define @t242 () (and @t19 @t18))
80.90/81.15	(define @t243 () (not @t168))
80.90/81.15	(define @t244 () (|tptp.'of_nat$'| @t175))
80.90/81.15	(define @t245 () (< @t53 @t244))
80.90/81.15	(define @t246 () (|tptp.'times$a'| @t66))
80.90/81.15	(define @t247 () (|tptp.'fun_app$d'| @t30 @t133))
80.90/81.15	(define @t248 () (= @t247 (|tptp.'fun_app$d'| @t246 @t176)))
80.90/81.15	(define @t249 () (@list @t2 @t26 @t29 @t66 @t175))
80.90/81.15	(define @t250 () (|tptp.'prime_factorization$'| @t26))
80.90/81.15	(define @t251 () (|tptp.'set_mset$'| @t250))
80.90/81.15	(define @t252 () (|tptp.'member$a'| @t2 @t251))
80.90/81.15	(define @t253 () (|tptp.'fun_app$b'| (|tptp.'cong$'| @t26 @t2) @t29))
80.90/81.15	(define @t254 () (|tptp.'divide$'| @t7))
80.90/81.15	(define @t255 () (and @t40 @t123))
80.90/81.15	(define @t256 () (not @t20))
80.90/81.15	(define @t257 () (not (|tptp.'fun_app$c'| @t17 @t87)))
80.90/81.15	(define @t258 () (= @t53 @t244))
80.90/81.15	(define @t259 () (|tptp.'times$'| @t9 @t171))
80.90/81.15	(define @t260 () (= @t259 (|tptp.'times$'| @t87 (|tptp.'fun_app$f'| @t51 @t175))))
80.90/81.15	(define @t261 () (@list @t7 @t9 @t29 @t87 @t175))
80.90/81.15	(define @t262 () (< @t9 @t6))
80.90/81.15	(define @t263 () (< 0 @t7))
80.90/81.15	(define @t264 () (|tptp.'divide$a'| @t29))
80.90/81.15	(define @t265 () (|tptp.'fun_app$d'| @t264 @t2))
80.90/81.15	(define @t266 () (@var "A__questionmark_v0" |tptp.'Nat_multiset$'|))
80.90/81.15	(define @t267 () (|tptp.'minus$a'| @t266))
80.90/81.15	(define @t268 () (@list @t266))
80.90/81.15	(define @t269 () (- @t9 @t6))
80.90/81.15	(define @t270 () (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t87 @t93) @t6))
80.90/81.15	(define @t271 () (@list @t7 @t9 @t6 @t87 @t93))
80.90/81.15	(define @t272 () (|tptp.'fun_app$b'| @t225 |tptp.'one$'|))
80.90/81.15	(define @t273 () (|tptp.'fun_app$b'| @t27 |tptp.'one$'|))
80.90/81.15	(define @t274 () (and @t122 @t273))
80.90/81.15	(define @t275 () (exists @t60 @t169))
80.90/81.15	(define @t276 () (= @t117 (= @t127 @t265)))
80.90/81.15	(define @t277 () (< 0 @t10))
80.90/81.15	(define @t278 () (< 0 @t9))
80.90/81.15	(define @t279 () (and @t263 @t278))
80.90/81.15	(define @t280 () (|tptp.'totient$'| @t26))
80.90/81.15	(define @t281 () (|tptp.'of_nat$'| @t280))
80.90/81.15	(define @t282 () (- @t38 1))
80.90/81.15	(define @t283 () (|tptp.'nat$'| @t282))
80.90/81.15	(define @t284 () (|tptp.'fun_app$d'| @t67 @t283))
80.90/81.15	(define @t285 () (|tptp.'fun_app$d'| @t67 @t2))
80.90/81.15	(define @t286 () (|tptp.'of_nat$'| (|tptp.'totient$'| @t285)))
80.90/81.15	(define @t287 () (< @t38 1))
80.90/81.15	(define @t288 () (not @t287))
80.90/81.15	(define @t289 () (|tptp.'fun_app$d'| @t67 @t1))
80.90/81.15	(define @t290 () (< @t38 0))
80.90/81.15	(define @t291 () (not @t290))
80.90/81.15	(define @t292 () (|tptp.'times$a'| @t127))
80.90/81.15	(define @t293 () (= (|tptp.'fun_app$d'| @t292 @t2) @t26))
80.90/81.15	(define @t294 () (or @t221 @t168))
80.90/81.15	(define @t295 () (@var "A__questionmark_v1" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t296 () (@var "A__questionmark_v0" |tptp.'Pratt$'|))
80.90/81.15	(define @t297 () (|tptp.'cons$'| @t296 @t295))
80.90/81.15	(define @t298 () (@list @t296 @t295))
80.90/81.15	(define @t299 () (|tptp.'fun_app$d'| @t161 @t26))
80.90/81.15	(define @t300 () (< @t52 @t171))
80.90/81.15	(define @t301 () (|tptp.'divide$a'| @t265))
80.90/81.15	(define @t302 () (= (|tptp.'fun_app$d'| @t264 @t34) (|tptp.'fun_app$d'| @t301 @t26)))
80.90/81.15	(define @t303 () (|tptp.'fun_app$b'| @t225 @t29))
80.90/81.15	(define @t304 () (|tptp.'dvd$a'| @t120))
80.90/81.15	(define @t305 () (@var "A__questionmark_v0" |tptp.'Nat_set$'|))
80.90/81.15	(define @t306 () (|tptp.'uua$'| @t305))
80.90/81.15	(define @t307 () (@var "A__questionmark_v0" |tptp.'Int_set$'|))
80.90/81.15	(define @t308 () (|tptp.'uu$'| @t307))
80.90/81.15	(define @t309 () (@var "A__questionmark_v0" |tptp.'Int_bool_fun$'|))
80.90/81.15	(define @t310 () (|tptp.'fun_app$c'| |tptp.'prime$b'| @t6))
80.90/81.15	(define @t311 () (|tptp.'fun_app$c'| @t102 1))
80.90/81.15	(define @t312 () (|tptp.'fun_app$'| @t238 @t9))
80.90/81.15	(define @t313 () (and @t14 @t20))
80.90/81.15	(define @t314 () (|tptp.'divide$'| @t87))
80.90/81.15	(define @t315 () (|tptp.'cong$'| @t34 |tptp.'zero$'|))
80.90/81.15	(define @t316 () (|tptp.'times$'| @t6 @t9))
80.90/81.15	(define @t317 () (and @t168 @t224))
80.90/81.15	(define @t318 () (|tptp.'times$'| @t171 @t184))
80.90/81.15	(define @t319 () (= @t10 1))
80.90/81.15	(define @t320 () (< @t9 0))
80.90/81.15	(define @t321 () (= @t101 (- @t6 @t87)))
80.90/81.15	(define @t322 () (|tptp.'prime$'| @t26))
80.90/81.15	(define @t323 () (|tptp.'prime$'| @t2))
80.90/81.15	(define @t324 () (|tptp.'fun_app$'| (|tptp.'divide$'| @t73) @t7))
80.90/81.15	(define @t325 () (= (|tptp.'times$'| @t186 @t6) @t324))
80.90/81.15	(define @t326 () (|tptp.'fun_app$f'| @t183 @t2))
80.90/81.15	(define @t327 () (= @t9 1))
80.90/81.15	(define @t328 () (@list @t2 @t9))
80.90/81.15	(define @t329 () (|tptp.'fun_app$b'| |tptp.'prime$a'| |tptp.'pa$'|))
80.90/81.15	(define @t330 () (|tptp.'prime$'| |tptp.'pa$'|))
80.90/81.15	(define @t331 () (= |tptp.'y$'| @t330))
80.90/81.15	(define @t332 () (|tptp.'fun_app$d'| @t30 @t66))
80.90/81.15	(define @t333 () (|tptp.'dvd$a'| @t29))
80.90/81.15	(define @t334 () (|tptp.'fun_app$b'| @t333 @t66))
80.90/81.15	(define @t335 () (not @t39))
80.90/81.15	(define @t336 () (|tptp.'fun_app$d'| @t126 @t29))
80.90/81.15	(define @t337 () (|tptp.'divide$a'| @t120))
80.90/81.15	(define @t338 () (|tptp.'of_nat$'| @t133))
80.90/81.15	(define @t339 () (|tptp.'of_nat$'| @t62))
80.90/81.15	(define @t340 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t104))
80.90/81.15	(define @t341 () (@var "A__questionmark_v1" tptp.tlbool))
80.90/81.15	(define @t342 () (= @t341 tptp.tltrue))
80.90/81.15	(define @t343 () (= @t342 @t340))
80.90/81.15	(define @t344 () (@var "A__questionmark_v5" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t345 () (|tptp.'cons$'| (|tptp.'triple$'| @t29 @t66 @t175) @t344))
80.90/81.15	(define @t346 () (= @t104 @t345))
80.90/81.15	(define @t347 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t344))
80.90/81.15	(define @t348 () (= @t244 1))
80.90/81.15	(define @t349 () (|tptp.'set$'| @t344))
80.90/81.15	(define @t350 () (@var "A__questionmark_v6" |tptp.'Nat$'|))
80.90/81.15	(define @t351 () (|tptp.'member$'| (|tptp.'prime$'| @t350) @t349))
80.90/81.15	(define @t352 () (@var "A__questionmark_v7" |tptp.'Nat$'|))
80.90/81.15	(define @t353 () (|tptp.'member$'| (|tptp.'triple$'| @t29 @t66 @t352) @t349))
80.90/81.15	(define @t354 () (|tptp.'of_nat$'| @t350))
80.90/81.15	(define @t355 () (- @t53 1))
80.90/81.15	(define @t356 () (|tptp.'power$'| @t66))
80.90/81.15	(define @t357 () (< @t53 1))
80.90/81.15	(define @t358 () (not @t357))
80.90/81.15	(define @t359 () (not (and (=> @t357 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t356 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t354))) @t138) @t29)) (=> @t358 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t356 (|tptp.'nat$'| (|tptp.'fun_app$'| (|tptp.'divide$'| @t355) @t354))) @t138) @t29)))))
80.90/81.15	(define @t360 () (= @t244 (|tptp.'times$'| @t354 (|tptp.'of_nat$'| @t352))))
80.90/81.15	(define @t361 () (@list @t350 @t352))
80.90/81.15	(define @t362 () (< 0 @t244))
80.90/81.15	(define @t363 () (< 1 @t53))
80.90/81.15	(define @t364 () (@list @t29 @t66 @t175 @t344))
80.90/81.15	(define @t365 () (|tptp.'cons$'| (|tptp.'prime$'| @t29) @t106))
80.90/81.15	(define @t366 () (= @t104 @t365))
80.90/81.15	(define @t367 () (|tptp.'set$'| @t106))
80.90/81.15	(define @t368 () (=> @t357 (|tptp.'member$'| (|tptp.'triple$'| @t29 @t175 @t1) @t367)))
80.90/81.15	(define @t369 () (|tptp.'nat$'| @t355))
80.90/81.15	(define @t370 () (=> @t358 (|tptp.'member$'| (|tptp.'triple$'| @t29 @t175 @t369) @t367)))
80.90/81.15	(define @t371 () (|tptp.'power$'| @t175))
80.90/81.15	(define @t372 () (=> @t358 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t371 @t369) @t138) @t29)))
80.90/81.15	(define @t373 () (=> @t357 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t371 @t1) @t138) @t29)))
80.90/81.15	(define @t374 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t106))
80.90/81.15	(define @t375 () (@list @t29 @t106))
80.90/81.15	(define @t376 () (@list @t104 @t341))
80.90/81.15	(define @t377 () (< @t48 @t316))
80.90/81.15	(define @t378 () (|tptp.'cons$'| |tptp.'y$'| |tptp.'ys$'|))
80.90/81.15	(define @t379 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t378))
80.90/81.15	(define @t380 () (|tptp.'fun_app$c'| @t17 @t6))
80.90/81.15	(define @t381 () (and @t380 @t20))
80.90/81.15	(define @t382 () (|tptp.'set_mset$'| @t194))
80.90/81.15	(define @t383 () (|tptp.'member$a'| @t26 @t382))
80.90/81.15	(define @t384 () (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t31) @t2))
80.90/81.15	(define @t385 () (|tptp.'fun_app$b'| @t3 @t31))
80.90/81.15	(define @t386 () (or @t327 @t15))
80.90/81.15	(define @t387 () (|tptp.'fun_app$c'| @t13 @t87))
80.90/81.15	(define @t388 () (= @t9 0))
80.90/81.15	(define @t389 () (not @t388))
80.90/81.15	(define @t390 () (= @t62 @t133))
80.90/81.15	(define @t391 () (|tptp.'fun_app$d'| @t125 @t26))
80.90/81.15	(define @t392 () (= @t7 1))
80.90/81.15	(define @t393 () (= @t34 @t189))
80.90/81.15	(define @t394 () (= @t26 @t189))
80.90/81.15	(define @t395 () (|tptp.'divide$'| @t41))
80.90/81.15	(define @t396 () (|tptp.'divide$'| @t78))
80.90/81.15	(define @t397 () (|tptp.'fun_app$'| @t396 @t77))
80.90/81.15	(define @t398 () (= @t397 (|tptp.'fun_app$'| @t395 @t53)))
80.90/81.15	(define @t399 () (< 1 @t9))
80.90/81.15	(define @t400 () (|tptp.'fun_app$b'| (|tptp.'less$'| @t34) |tptp.'zero$'|))
80.90/81.15	(define @t401 () (|tptp.'less$'| |tptp.'zero$'|))
80.90/81.15	(define @t402 () (|tptp.'fun_app$b'| @t401 @t2))
80.90/81.15	(define @t403 () (and @t402 (|tptp.'fun_app$b'| (|tptp.'less$'| @t26) |tptp.'zero$'|)))
80.90/81.15	(define @t404 () (< @t53 @t41))
80.90/81.15	(define @t405 () (not @t40))
80.90/81.15	(define @t406 () (- @t202 @t53))
80.90/81.15	(define @t407 () (- @t38 @t53))
80.90/81.15	(define @t408 () (< @t38 @t53))
80.90/81.15	(define @t409 () (not @t408))
80.90/81.15	(define @t410 () (=> @t409 (< @t407 @t41)))
80.90/81.15	(define @t411 () (=> @t408 @t123))
80.90/81.15	(define @t412 () (and @t411 @t410))
80.90/81.15	(define @t413 () (- @t407 @t41))
80.90/81.15	(define @t414 () (- 0 @t41))
80.90/81.15	(define @t415 () (and @t410 @t411))
80.90/81.15	(define @t416 () (not @t415))
80.90/81.15	(define @t417 () (- 0 @t53))
80.90/81.15	(define @t418 () (and (=> @t203 (< @t202 @t53)) (=> @t201 @t132)))
80.90/81.15	(define @t419 () (|tptp.'fun_app$d'| @t264 @t26))
80.90/81.15	(define @t420 () (= @t38 1))
80.90/81.15	(define @t421 () (|tptp.'totient$'| @t2))
80.90/81.15	(define @t422 () (|tptp.'of_nat$'| @t421))
80.90/81.15	(define @t423 () (=> @t288 (= @t422 @t282)))
80.90/81.15	(define @t424 () (= @t422 0))
80.90/81.15	(define @t425 () (=> @t287 @t424))
80.90/81.15	(define @t426 () (|tptp.'fun_app$d'| @t67 @t29))
80.90/81.15	(define @t427 () (|tptp.'times$a'| @t133))
80.90/81.15	(define @t428 () (|tptp.'fun_app$d'| @t427 @t426))
80.90/81.15	(define @t429 () (|tptp.'cong$a'| @t10 0))
80.90/81.15	(define @t430 () (|tptp.'accp$'| |tptp.'valid_cert_rel$'|))
80.90/81.15	(define @t431 () (|tptp.'fun_app$e'| @t430 @t104))
80.90/81.15	(define @t432 () (@var "A__questionmark_v4" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t433 () (|tptp.'triple$'| @t26 @t29 @t66))
80.90/81.15	(define @t434 () (|tptp.'cons$'| @t433 @t432))
80.90/81.15	(define @t435 () (|tptp.'fun_app$e'| @t430 @t434))
80.90/81.15	(define @t436 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t432))
80.90/81.15	(define @t437 () (|tptp.'set$'| @t432))
80.90/81.15	(define @t438 () (@var "A__questionmark_v5" |tptp.'Nat$'|))
80.90/81.15	(define @t439 () (|tptp.'member$'| (|tptp.'prime$'| @t438) @t437))
80.90/81.15	(define @t440 () (|tptp.'of_nat$'| @t438))
80.90/81.15	(define @t441 () (- @t41 1))
80.90/81.15	(define @t442 () (|tptp.'divide$'| @t441))
80.90/81.15	(define @t443 () (|tptp.'fun_app$'| @t442 @t440))
80.90/81.15	(define @t444 () (|tptp.'nat$'| @t443))
80.90/81.15	(define @t445 () (|tptp.'fun_app$d'| @t180 @t444))
80.90/81.15	(define @t446 () (|tptp.'cong$'| @t445 @t138))
80.90/81.15	(define @t447 () (|tptp.'fun_app$b'| @t446 @t26))
80.90/81.15	(define @t448 () (< @t41 1))
80.90/81.15	(define @t449 () (not @t448))
80.90/81.15	(define @t450 () (=> @t449 @t447))
80.90/81.15	(define @t451 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t440))) @t138) @t26))
80.90/81.15	(define @t452 () (=> @t448 @t451))
80.90/81.15	(define @t453 () (|tptp.'member$'| (|tptp.'triple$'| @t26 @t29 @t350) @t437))
80.90/81.15	(define @t454 () (= @t207 (|tptp.'times$'| @t440 @t354)))
80.90/81.15	(define @t455 () (@list @t438 @t350))
80.90/81.15	(define @t456 () (= @t207 1))
80.90/81.15	(define @t457 () (< 0 @t207))
80.90/81.15	(define @t458 () (< 1 @t41))
80.90/81.15	(define @t459 () (= @t104 @t434))
80.90/81.15	(define @t460 () (@list @t26 @t29 @t66 @t432))
80.90/81.15	(define @t461 () (@var "A__questionmark_v2" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t462 () (|tptp.'cons$'| @t322 @t461))
80.90/81.15	(define @t463 () (= @t104 @t462))
80.90/81.15	(define @t464 () (|tptp.'fun_app$e'| @t430 @t462))
80.90/81.15	(define @t465 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t461))
80.90/81.15	(define @t466 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t356 @t1) @t138) @t26))
80.90/81.15	(define @t467 () (=> @t448 @t466))
80.90/81.15	(define @t468 () (|tptp.'nat$'| @t441))
80.90/81.15	(define @t469 () (|tptp.'fun_app$d'| @t356 @t468))
80.90/81.15	(define @t470 () (|tptp.'cong$'| @t469 @t138))
80.90/81.15	(define @t471 () (|tptp.'fun_app$b'| @t470 @t26))
80.90/81.15	(define @t472 () (=> @t449 @t471))
80.90/81.15	(define @t473 () (|tptp.'set$'| @t461))
80.90/81.15	(define @t474 () (|tptp.'triple$'| @t26 @t66 @t468))
80.90/81.15	(define @t475 () (|tptp.'member$'| @t474 @t473))
80.90/81.15	(define @t476 () (=> @t449 @t475))
80.90/81.15	(define @t477 () (|tptp.'member$'| (|tptp.'triple$'| @t26 @t66 @t1) @t473))
80.90/81.15	(define @t478 () (=> @t448 @t477))
80.90/81.15	(define @t479 () (@list @t26 @t461))
80.90/81.15	(define @t480 () (not @t340))
80.90/81.15	(define @t481 () (@list @t104))
80.90/81.15	(define @t482 () (|tptp.'divide$'| @t282))
80.90/81.15	(define @t483 () (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t244)))
80.90/81.15	(define @t484 () (@list @t175 @t438))
80.90/81.15	(define @t485 () (= @t26 |tptp.'zero$'|))
80.90/81.15	(define @t486 () (not @t485))
80.90/81.15	(define @t487 () (=> @t163 false))
80.90/81.15	(define @t488 () (|tptp.'fun_app$d'| @t118 @t26))
80.90/81.15	(define @t489 () (|tptp.'times$'| @t7 @t52))
80.90/81.15	(define @t490 () (= (|tptp.'fun_app$d'| @t292 @t29) @t384))
80.90/81.15	(define @t491 () (|tptp.'power$a'| @t6))
80.90/81.15	(define @t492 () (|tptp.'fun_app$f'| @t491 @t2))
80.90/81.15	(define @t493 () (|tptp.'fun_app$f'| @t491 @t26))
80.90/81.15	(define @t494 () (@list @t2 @t26 @t6))
80.90/81.15	(define @t495 () (= @t186 @t239))
80.90/81.15	(define @t496 () (= @t9 @t6))
80.90/81.15	(define @t497 () (|tptp.'fun_app$d'| @t219 @t26))
80.90/81.15	(define @t498 () (|tptp.'fun_app$b'| @t333 @t26))
80.90/81.15	(define @t499 () (= 0 @t53))
80.90/81.15	(define @t500 () (|tptp.'times$'| @t38 @t244))
80.90/81.15	(define @t501 () (|tptp.'times$'| @t41 @t207))
80.90/81.15	(define @t502 () (< @t501 @t500))
80.90/81.15	(define @t503 () (|tptp.'times$'| @t41 @t244))
80.90/81.15	(define @t504 () (|tptp.'times$'| @t38 @t207))
80.90/81.15	(define @t505 () (< @t504 @t503))
80.90/81.15	(define @t506 () (|tptp.'fun_app$b'| @t333 @t2))
80.90/81.15	(define @t507 () (@list @t29 @t66 @t175))
80.90/81.15	(define @t508 () (and @t145 @t154))
80.90/81.15	(define @t509 () (not @t508))
80.90/81.15	(define @t510 () (=> @t156 @t509))
80.90/81.15	(define @t511 () (forall @t5 @t510))
80.90/81.15	(define @t512 () (|tptp.'dvd$a'| @t127))
80.90/81.15	(define @t513 () (|tptp.'fun_app$b'| @t512 @t29))
80.90/81.15	(define @t514 () (and @t168 @t65))
80.90/81.15	(define @t515 () (|tptp.'prime_factorization$a'| @t9))
80.90/81.15	(define @t516 () (|tptp.'set_mset$a'| @t515))
80.90/81.15	(define @t517 () (|tptp.'member$b'| @t7 @t516))
80.90/81.15	(define @t518 () (|tptp.'fun_app$'| @t395 @t38))
80.90/81.15	(define @t519 () (|tptp.'times$'| @t53 @t38))
80.90/81.15	(define @t520 () (|tptp.'divide$a'| @t66))
80.90/81.15	(define @t521 () (< @t6 0))
80.90/81.15	(define @t522 () (and @t320 @t263))
80.90/81.15	(define @t523 () (< @t10 0))
80.90/81.15	(define @t524 () (not (|tptp.'fun_app$b'| @t3 @t66)))
80.90/81.15	(define @t525 () (= @t10 0))
80.90/81.15	(define @t526 () (|tptp.'fun_app$d'| @t61 @t468))
80.90/81.15	(define @t527 () (|tptp.'fun_app$d'| @t61 @t1))
80.90/81.15	(define @t528 () (|tptp.'times$'| @t7 @t73))
80.90/81.15	(define @t529 () (|tptp.'fun_app$f'| @t51 @t1))
80.90/81.15	(define @t530 () (= @t52 1))
80.90/81.15	(define @t531 () (|tptp.'divide$'| @t49))
80.90/81.15	(define @t532 () (|tptp.'times$'| @t53 @t41))
80.90/81.15	(define @t533 () (and @t201 @t132))
80.90/81.15	(define @t534 () (|tptp.'fun_app$b'| @t401 @t26))
80.90/81.15	(define @t535 () (|tptp.'fun_app$b'| @t401 @t34))
80.90/81.15	(define @t536 () (= @t34 |tptp.'zero$'|))
80.90/81.15	(define @t537 () (=> @t288 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t284 @t138) @t2)))
80.90/81.15	(define @t538 () (=> @t287 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t289 @t138) @t2)))
80.90/81.15	(define @t539 () (not @t199))
80.90/81.15	(define @t540 () (@var "A__questionmark_v1" |tptp.'Nat_list$'|))
80.90/81.15	(define @t541 () (@list @t2 @t540))
80.90/81.15	(define @t542 () (not @t174))
80.90/81.15	(define @t543 () (< @t6 @t87))
80.90/81.15	(define @t544 () (|tptp.'dvd$a'| @t66))
80.90/81.15	(define @t545 () (and (|tptp.'fun_app$b'| @t544 @t26) (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t175) @t29) (= @t2 (|tptp.'fun_app$d'| @t246 @t175))))
80.90/81.15	(define @t546 () (@list @t66 @t175))
80.90/81.15	(define @t547 () (|tptp.'dvd$a'| |tptp.'zero$'|))
80.90/81.15	(define @t548 () (= @t10 @t8))
80.90/81.15	(define @t549 () (|tptp.'fun_app$c'| @t17 @t269))
80.90/81.15	(define @t550 () (- @t6 @t9))
80.90/81.15	(define @t551 () (|tptp.'divide$'| 1))
80.90/81.15	(define @t552 () (|tptp.'fun_app$'| @t551 @t7))
80.90/81.15	(define @t553 () (|tptp.'fun_app$b'| @t547 @t2))
80.90/81.15	(define @t554 () (= @t10 @t49))
80.90/81.15	(define @t555 () (or @t20 @t380))
80.90/81.15	(define @t556 () (= @t296 @t433))
80.90/81.15	(define @t557 () (@list @t26 @t29 @t66))
80.90/81.15	(define @t558 () (= @t296 @t322))
80.90/81.15	(define @t559 () (|tptp.'fun_app$e'| @t430 |tptp.'nil$'|))
80.90/81.15	(define @t560 () (|tptp.'fun_app$c'| @t223 @t7))
80.90/81.15	(define @t561 () (|tptp.'fun_app$f'| (|tptp.'power$a'| 0) @t2))
80.90/81.15	(define @t562 () (= @t561 0))
80.90/81.15	(define @t563 () (|tptp.'dvd$'| @t186))
80.90/81.15	(define @t564 () (|tptp.'fun_app$c'| @t563 @t6))
80.90/81.15	(define @t565 () (|tptp.'fun_app$c'| @t13 @t48))
80.90/81.15	(define @t566 () (and @t45 @t20))
80.90/81.15	(define @t567 () (= 0 @t38))
80.90/81.15	(define @t568 () (@var "A__questionmark_v1" |tptp.'Pratt$'|))
80.90/81.15	(define @t569 () (=> @t111 false))
80.90/81.15	(define @t570 () (|tptp.'nat$'| @t78))
80.90/81.15	(define @t571 () (|tptp.'dvd$a'| @t570))
80.90/81.15	(define @t572 () (|tptp.'fun_app$b'| @t571 (|tptp.'nat$'| @t77)))
80.90/81.15	(define @t573 () (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t1) @t2))
80.90/81.15	(define @t574 () (= @t7 @t6))
80.90/81.15	(define @t575 () (|tptp.'fun_app$c'| @t17 @t184))
80.90/81.15	(define @t576 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 @t483) @t138) @t26))
80.90/81.15	(define @t577 () (=> @t448 @t576))
80.90/81.15	(define @t578 () (|tptp.'fun_app$'| @t442 @t244))
80.90/81.15	(define @t579 () (|tptp.'nat$'| @t578))
80.90/81.15	(define @t580 () (|tptp.'fun_app$d'| @t180 @t579))
80.90/81.15	(define @t581 () (|tptp.'cong$'| @t580 @t138))
80.90/81.15	(define @t582 () (|tptp.'fun_app$b'| @t581 @t26))
80.90/81.15	(define @t583 () (=> @t449 @t582))
80.90/81.15	(define @t584 () (and @t583 @t577))
80.90/81.15	(define @t585 () (not @t584))
80.90/81.15	(define @t586 () (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| @t66)))
80.90/81.15	(define @t587 () (|tptp.'member$a'| @t175 @t586))
80.90/81.15	(define @t588 () (=> @t587 @t585))
80.90/81.15	(define @t589 () (forall @t178 @t588))
80.90/81.15	(define @t590 () (and @t457 @t589))
80.90/81.15	(define @t591 () (=> @t556 @t590))
80.90/81.15	(define @t592 () (=> @t558 @t135))
80.90/81.15	(define @t593 () (and @t592 @t591))
80.90/81.15	(define @t594 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| |tptp.'ys$'|))
80.90/81.15	(define @t595 () (|tptp.'set$'| |tptp.'ys$'|))
80.90/81.15	(define @t596 () (|tptp.'member$'| @t296 @t595))
80.90/81.15	(define @t597 () (and @t596 @t594))
80.90/81.15	(define @t598 () (=> @t597 @t593))
80.90/81.15	(define @t599 () (@list @t296 @t26 @t29 @t66))
80.90/81.15	(define @t600 () (forall @t599 @t598))
80.90/81.15	(define @t601 () (and @t472 @t478 @t476 @t467))
80.90/81.15	(define @t602 () (exists @t209 @t601))
80.90/81.15	(define @t603 () (and @t450 @t452))
80.90/81.15	(define @t604 () (not @t603))
80.90/81.15	(define @t605 () (and @t454 @t604 @t453 @t439))
80.90/81.15	(define @t606 () (exists @t455 @t605))
80.90/81.15	(define @t607 () (< @t77 @t54))
80.90/81.15	(define @t608 () (= (|tptp.'times$'| @t186 @t7) @t9))
80.90/81.15	(define @t609 () (|tptp.'fun_app$'| @t551 @t9))
80.90/81.15	(define @t610 () (< 0 0))
80.90/81.15	(define @t611 () (|tptp.'fun_app$d'| @t33 @t62))
80.90/81.15	(define @t612 () (|tptp.'less$'| @t2))
80.90/81.15	(define @t613 () (and @t402 (|tptp.'fun_app$b'| @t612 |tptp.'one$'|)))
80.90/81.15	(define @t614 () (@var "A__questionmark_v1" |tptp.'Int_bool_fun$'|))
80.90/81.15	(define @t615 () (@list @t7 @t614))
80.90/81.15	(define @t616 () (|tptp.'fun_app$b'| @t333 |tptp.'one$'|))
80.90/81.15	(define @t617 () (|tptp.'fun_app$'| @t254 @t9))
80.90/81.15	(define @t618 () (|tptp.'less$'| @t62))
80.90/81.15	(define @t619 () (|tptp.'fun_app$b'| @t618 @t133))
80.90/81.15	(define @t620 () (|tptp.'times$'| @t41 @t38))
80.90/81.15	(define @t621 () (|tptp.'member$'| |tptp.'ta$'| @t595))
80.90/81.15	(define @t622 () (|tptp.'fun_app$b'| (|tptp.'cong$'| @t2 @t138) @t26))
80.90/81.15	(define @t623 () (not @t28))
80.90/81.15	(define @t624 () (|tptp.'divide$a'| @t34))
80.90/81.15	(define @t625 () (|tptp.'fun_app$d'| @t624 @t189))
80.90/81.15	(define @t626 () (=> @t65 (= @t625 @t336)))
80.90/81.15	(define @t627 () (|tptp.'fun_app$b'| (|tptp.'less$'| @t119) @t488))
80.90/81.15	(define @t628 () (|tptp.'fun_app$b'| @t612 @t26))
80.90/81.15	(define @t629 () (|tptp.'fun_app$b'| @t401 @t29))
80.90/81.15	(define @t630 () (and @t629 @t628))
80.90/81.15	(define @t631 () (= (= @t186 @t6) (= @t9 @t48)))
80.90/81.15	(define @t632 () (@var "A__questionmark_v1" |tptp.'Int_multiset$'|))
80.90/81.15	(define @t633 () (@var "A__questionmark_v2" |tptp.'Int_multiset$'|))
80.90/81.15	(define @t634 () (not @t18))
80.90/81.15	(define @t635 () (|tptp.'fun_app$d'| @t33 @t66))
80.90/81.15	(define @t636 () (|tptp.'fun_app$d'| @t180 @t2))
80.90/81.15	(define @t637 () (|tptp.'fun_app$'| @t42 @t53))
80.90/81.15	(define @t638 () (|tptp.'cons$'| @t568 @t461))
80.90/81.15	(define @t639 () (= @t104 @t638))
80.90/81.15	(define @t640 () (@list @t568 @t461))
80.90/81.15	(define @t641 () (= @t127 |tptp.'zero$'|))
80.90/81.15	(define @t642 () (and @t486 @t65))
80.90/81.15	(define @t643 () (not @t536))
80.90/81.15	(define @t644 () (|tptp.'of_nat$'| (|tptp.'nat$'| @t7)))
80.90/81.15	(define @t645 () (<= 0 @t7))
80.90/81.15	(define @t646 () (= @t49 @t48))
80.90/81.15	(define @t647 () (|tptp.'fun_app$c'| @t102 @t7))
80.90/81.15	(define @t648 () (= @t2 @t29))
80.90/81.15	(define @t649 () (|tptp.'of_nat$'| @t526))
80.90/81.15	(define @t650 () (|tptp.'of_nat$'| (|tptp.'totient$'| @t62)))
80.90/81.15	(define @t651 () (|tptp.'of_nat$'| @t527))
80.90/81.15	(define @t652 () (|tptp.'member$a'| @t2 (|tptp.'set$a'| @t540)))
80.90/81.15	(define @t653 () (@var "A__questionmark_v3" |tptp.'Nat_list$'|))
80.90/81.15	(define @t654 () (@var "A__questionmark_v2" |tptp.'Nat_list$'|))
80.90/81.15	(define @t655 () (|tptp.'fun_app$b'| (|tptp.'pratt_triple$'| @t2 @t26) @t29))
80.90/81.15	(define @t656 () (and (= @t296 @t107) (= @t295 @t106)))
80.90/81.15	(define @t657 () (= (= @t297 @t108) @t656))
80.90/81.15	(define @t658 () (forall (@list @t296 @t295 @t107 @t106) @t657))
80.90/81.15	(define @t659 () (= |tptp.'ta$'| @t330))
80.90/81.15	(define @t660 () (=> @t659 @t329))
80.90/81.15	(define @t661 () (and @t511 @t137))
80.90/81.15	(define @t662 () (= |tptp.'ta$'| @t158))
80.90/81.15	(define @t663 () (=> @t662 @t661))
80.90/81.15	(define @t664 () (and @t663 @t660))
80.90/81.15	(define @t665 () (not @t664))
80.90/81.15	(define @t666 () (|tptp.'set$'| @t295))
80.90/81.15	(define @t667 () (|tptp.'member$'| @t296 @t666))
80.90/81.15	(define @t668 () (= @t186 0))
80.90/81.15	(define @t669 () (|tptp.'fun_app$b'| |tptp.'prime$a'| @t29))
80.90/81.15	(define @t670 () (@list @t29 @t66))
80.90/81.15	(define @t671 () (@var "A__questionmark_v1" |tptp.'Pratt_bool_fun$'|))
80.90/81.15	(define @t672 () (|tptp.'collect$b'| @t671))
80.90/81.15	(define @t673 () (@var "A__questionmark_v0" |tptp.'Pratt_bool_fun$'|))
80.90/81.15	(define @t674 () (@var "A__questionmark_v0" |tptp.'Pratt_list_pratt_list_bool_fun_fun$'|))
80.90/81.15	(define @t675 () (|tptp.'fun_app$i'| @t674 |tptp.'nil$'|))
80.90/81.15	(define @t676 () (@var "A__questionmark_v6" |tptp.'Pratt_list$'|))
80.90/81.15	(define @t677 () (@var "A__questionmark_v5" |tptp.'Pratt$'|))
80.90/81.15	(define @t678 () (@var "A__questionmark_v3" |tptp.'Pratt$'|))
80.90/81.15	(define @t679 () (|tptp.'cons$'| @t678 @t432))
80.90/81.15	(define @t680 () (|tptp.'fun_app$i'| @t674 @t679))
80.90/81.15	(define @t681 () (@list @t678 @t432))
80.90/81.15	(define @t682 () (not @t525))
80.90/81.15	(define @t683 () (@var "A__questionmark_v0" |tptp.'Pratt_set$'|))
80.90/81.15	(define @t684 () (|tptp.'uub$'| @t683))
80.90/81.15	(define @t685 () (|tptp.'pratt_triple$'| @t26 @t29))
80.90/81.15	(define @t686 () (- @t7 @t87))
80.90/81.15	(define @t687 () (|tptp.'fun_app$c'| @t11 1))
80.90/81.15	(define @t688 () (and @t18 @t19))
80.90/81.15	(define @t689 () (@var "A__questionmark_v1" |tptp.'Nat_bool_fun$'|))
80.90/81.15	(define @t690 () (|tptp.'fun_app$b'| @t689 @t29))
80.90/81.15	(define @t691 () (@list @t2 @t689))
80.90/81.15	(define @t692 () (= @t34 @t120))
80.90/81.15	(define @t693 () (|tptp.'collect$a'| @t689))
80.90/81.15	(define @t694 () (forall @t640 (=> @t639 false)))
80.90/81.15	(define @t695 () (|tptp.'fun_app$b'| @t27 @t66))
80.90/81.15	(define @t696 () (@list @t9))
80.90/81.15	(define @t697 () (@var "B" tptp.tlbool))
80.90/81.15	(define @t698 () (= @t113 |tptp.'zero$a'|))
80.90/81.15	(define @t699 () (= @t52 0))
80.90/81.15	(define @t700 () (and (< @t7 1) @t263))
80.90/81.15	(define @t701 () (- @t53 @t41))
80.90/81.15	(define @t702 () (< @t53 @t38))
80.90/81.15	(define @t703 () (- @t53 @t38))
80.90/81.15	(define @t704 () (not @t702))
80.90/81.15	(define @t705 () (= @t43 0))
80.90/81.15	(define @t706 () (|tptp.'fun_app$c'| @t614 @t6))
80.90/81.15	(define @t707 () (- @t77 @t54))
80.90/81.15	(define @t708 () (|tptp.'times$'| @t202 @t53))
80.90/81.15	(define @t709 () (not @t607))
80.90/81.15	(define @t710 () (|tptp.'times$'| 0 @t53))
80.90/81.15	(define @t711 () (and @t463 @t458 @t465 @t602))
80.90/81.15	(define @t712 () (forall @t479 (=> @t711 false)))
80.90/81.15	(define @t713 () (or @t456 @t606))
80.90/81.15	(define @t714 () (and @t459 @t458 @t457 @t713 @t436))
80.90/81.15	(define @t715 () (forall @t460 (=> @t714 false)))
80.90/81.15	(define @t716 () (and @t340 @t715 @t712 @t569))
80.90/81.15	(define @t717 () (forall @t481 (=> @t716 false)))
80.90/81.15	(define @t718 () (@var "A__questionmark_v1" |tptp.'Pratt_list_list$'|))
80.90/81.15	(define @t719 () (@var "A__questionmark_v0" |tptp.'Pratt_list_list$'|))
80.90/81.15	(define @t720 () (@var "A__questionmark_v3" |tptp.'Pratt_list_list$'|))
80.90/81.15	(define @t721 () (@var "A__questionmark_v1" |tptp.'Nat_multiset$'|))
80.90/81.15	(define @t722 () (@var "A__questionmark_v2" |tptp.'Nat_multiset$'|))
80.90/81.15	(define @t723 () (not @t436))
80.90/81.15	(define @t724 () (@var "BOUND_VARIABLE_16176" |tptp.'Nat$'|))
80.90/81.15	(define @t725 () (@var "BOUND_VARIABLE_16178" |tptp.'Nat$'|))
80.90/81.15	(define @t726 () (|tptp.'of_nat$'| @t724))
80.90/81.15	(define @t727 () (>= @t41 1))
80.90/81.15	(define @t728 () (+ -1 @t41))
80.90/81.15	(define @t729 () (|tptp.'divide$'| @t728))
80.90/81.15	(define @t730 () (not @t727))
80.90/81.15	(define @t731 () (or (not (= @t207 (|tptp.'times$'| @t726 (|tptp.'of_nat$'| @t725)))) (and (or @t730 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t729 @t726))) @t138) @t26)) (or @t727 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t726))) @t138) @t26))) (not (|tptp.'member$'| (|tptp.'triple$'| @t26 @t29 @t725) @t437)) (not (|tptp.'member$'| (|tptp.'prime$'| @t724) @t437))))
80.90/81.15	(define @t732 () (not @t456))
80.90/81.15	(define @t733 () (and @t732 @t731))
80.90/81.15	(define @t734 () (>= @t207 1))
80.90/81.15	(define @t735 () (not @t734))
80.90/81.15	(define @t736 () (>= @t41 2))
80.90/81.15	(define @t737 () (not @t736))
80.90/81.15	(define @t738 () (@list @t26 @t29 @t66 @t432 @t724 @t725))
80.90/81.15	(define @t739 () (forall @t738 (or (not (= @t378 @t434)) @t737 @t735 @t733 @t723)))
80.90/81.15	(define @t740 () (@quantifiers_skolemize @t739 3))
80.90/81.15	(define @t741 () (@quantifiers_skolemize @t739 2))
80.90/81.15	(define @t742 () (@quantifiers_skolemize @t739 1))
80.90/81.15	(define @t743 () (@quantifiers_skolemize @t739 0))
80.90/81.15	(define @t744 () (|tptp.'triple$'| @t743 @t742 @t741))
80.90/81.15	(define @t745 () (= @t378 (|tptp.'cons$'| @t744 @t740)))
80.90/81.15	(define @t746 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t740))
80.90/81.15	(define @t747 () (not @t746))
80.90/81.15	(define @t748 () (|tptp.'set$'| @t740))
80.90/81.15	(define @t749 () (@quantifiers_skolemize @t739 4))
80.90/81.15	(define @t750 () (@quantifiers_skolemize @t739 5))
80.90/81.15	(define @t751 () (|tptp.'of_nat$'| @t749))
80.90/81.15	(define @t752 () (|tptp.'power$'| @t742))
80.90/81.15	(define @t753 () (|tptp.'of_nat$'| @t743))
80.90/81.15	(define @t754 () (>= @t753 1))
80.90/81.15	(define @t755 () (|tptp.'of_nat$'| @t741))
80.90/81.15	(define @t756 () (not @t745))
80.90/81.15	(define @t757 () (or @t756 (not (>= @t753 2)) (not (>= @t755 1)) (and (not (= @t755 1)) (or (not (= @t755 (|tptp.'times$'| @t751 (|tptp.'of_nat$'| @t750)))) (and (or (not @t754) (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t752 (|tptp.'nat$'| (|tptp.'fun_app$'| (|tptp.'divide$'| (+ -1 @t753)) @t751))) @t138) @t743)) (or @t754 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t752 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t751))) @t138) @t743))) (not (|tptp.'member$'| (|tptp.'triple$'| @t743 @t742 @t750) @t748)) (not (|tptp.'member$'| (|tptp.'prime$'| @t749) @t748)))) @t747))
80.90/81.15	(define @t758 () (= |tptp.'ys$'| @t740))
80.90/81.15	(define @t759 () (and (= |tptp.'y$'| @t744) @t758))
80.90/81.15	(define @t760 () (= @t745 @t759))
80.90/81.15	(define @t761 () (not @t758))
80.90/81.15	(define @t762 () (not @t594))
80.90/81.15	(define @t763 () (not @t762))
80.90/81.15	(define @t764 () (= true false))
80.90/81.15	(define @t765 () (and @t762 @t758 @t746))
80.90/81.15	(define @t766 () (@list false false false false false))
80.90/81.15	(define @t767 () (not @t757))
80.90/81.15	(define @t768 () (not @t739))
80.90/81.15	(define @t769 () (= |tptp.'nil$'| @t104))
80.90/81.15	(define @t770 () (@var "BOUND_VARIABLE_16215" |tptp.'Nat$'|))
80.90/81.15	(define @t771 () (|tptp.'power$'| @t770))
80.90/81.15	(define @t772 () (and @t730 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t771 @t1) @t138) @t26))))
80.90/81.15	(define @t773 () (|tptp.'nat$'| @t728))
80.90/81.15	(define @t774 () (and @t727 (not (|tptp.'member$'| (|tptp.'triple$'| @t26 @t770 @t773) @t473))))
80.90/81.15	(define @t775 () (and @t730 (not (|tptp.'member$'| (|tptp.'triple$'| @t26 @t770 @t1) @t473))))
80.90/81.15	(define @t776 () (and @t727 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t771 @t773) @t138) @t26))))
80.90/81.15	(define @t777 () (not @t465))
80.90/81.15	(define @t778 () (not @t463))
80.90/81.15	(define @t779 () (or @t778 @t737 @t777 @t776 @t775 @t774 @t772))
80.90/81.15	(define @t780 () (@list @t26 @t461 @t770))
80.90/81.15	(define @t781 () (forall @t780 @t779))
80.90/81.15	(define @t782 () (not @t781))
80.90/81.15	(define @t783 () (not @t459))
80.90/81.15	(define @t784 () (or @t783 @t737 @t735 @t733 @t723))
80.90/81.15	(define @t785 () (forall @t738 @t784))
80.90/81.15	(define @t786 () (not @t785))
80.90/81.15	(define @t787 () (not @t769))
80.90/81.15	(define @t788 () (not @t787))
80.90/81.15	(define @t789 () (or @t480 @t786 @t782 @t788))
80.90/81.15	(define @t790 () (or @t776 @t775 @t774 @t772))
80.90/81.15	(define @t791 () (or @t778 @t737 @t777 @t790))
80.90/81.15	(define @t792 () (forall @t780 @t791))
80.90/81.15	(define @t793 () (@list @t770))
80.90/81.15	(define @t794 () (forall @t793 @t791))
80.90/81.15	(define @t795 () (forall @t793 @t790))
80.90/81.15	(define @t796 () (or @t778 @t737 @t777 @t795))
80.90/81.15	(define @t797 () (|tptp.'member$'| (|tptp.'triple$'| @t26 @t66 @t773) @t473))
80.90/81.15	(define @t798 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t356 @t773) @t138) @t26))
80.90/81.15	(define @t799 () (forall @t209 (or (and @t727 (not @t798)) (and @t730 (not @t477)) (and @t727 (not @t797)) (and @t730 (not @t466)))))
80.90/81.15	(define @t800 () (not @t799))
80.90/81.15	(define @t801 () (not @t800))
80.90/81.15	(define @t802 () (or @t778 @t737 @t777 @t801))
80.90/81.15	(define @t803 () (=> @t730 @t466))
80.90/81.15	(define @t804 () (not @t803))
80.90/81.15	(define @t805 () (=> @t727 @t797))
80.90/81.15	(define @t806 () (not @t805))
80.90/81.15	(define @t807 () (=> @t730 @t477))
80.90/81.15	(define @t808 () (not @t807))
80.90/81.15	(define @t809 () (=> @t727 @t798))
80.90/81.15	(define @t810 () (not @t809))
80.90/81.15	(define @t811 () (or @t810 @t808 @t806 @t804))
80.90/81.15	(define @t812 () (and @t809 @t807 @t805 @t803))
80.90/81.15	(define @t813 () (forall @t209 (not @t812)))
80.90/81.15	(define @t814 () (not @t813))
80.90/81.15	(define @t815 () (* -1 1))
80.90/81.15	(define @t816 () (+ @t41 @t815))
80.90/81.15	(define @t817 () (+ @t41 1))
80.90/81.15	(define @t818 () (>= 1 @t41))
80.90/81.15	(define @t819 () (@list @t724 @t725))
80.90/81.15	(define @t820 () (forall @t819 @t784))
80.90/81.15	(define @t821 () (forall @t819 @t731))
80.90/81.15	(define @t822 () (forall @t819 @t732))
80.90/81.15	(define @t823 () (and @t822 @t821))
80.90/81.15	(define @t824 () (forall @t819 @t733))
80.90/81.15	(define @t825 () (or @t783 @t737 @t735 @t824 @t723))
80.90/81.15	(define @t826 () (not @t439))
80.90/81.15	(define @t827 () (not @t453))
80.90/81.15	(define @t828 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t729 @t440))) @t138) @t26))
80.90/81.15	(define @t829 () (not @t454))
80.90/81.15	(define @t830 () (forall @t455 (or @t829 (and (or @t730 @t828) (or @t727 @t451)) @t827 @t826)))
80.90/81.15	(define @t831 () (not @t830))
80.90/81.15	(define @t832 () (or @t456 @t831))
80.90/81.15	(define @t833 () (not @t832))
80.90/81.15	(define @t834 () (or @t783 @t737 @t735 @t833 @t723))
80.90/81.15	(define @t835 () (and (=> @t727 @t828) (=> @t730 @t451)))
80.90/81.15	(define @t836 () (not @t835))
80.90/81.15	(define @t837 () (not @t836))
80.90/81.15	(define @t838 () (or @t829 @t837 @t827 @t826))
80.90/81.15	(define @t839 () (and @t454 @t836 @t453 @t439))
80.90/81.15	(define @t840 () (forall @t455 (not @t839)))
80.90/81.15	(define @t841 () (not @t840))
80.90/81.15	(define @t842 () (+ @t207 1))
80.90/81.15	(define @t843 () (>= 0 @t207))
80.90/81.15	(define @t844 () (= |tptp.'nil$'| @t378))
80.90/81.15	(define @t845 () (forall @t780 (or (not (= @t378 @t462)) @t737 @t777 @t776 @t775 @t774 @t772)))
80.90/81.15	(define @t846 () (not @t845))
80.90/81.15	(define @t847 () (not @t379))
80.90/81.15	(define @t848 () (or @t847 @t768 @t846 @t844))
80.90/81.15	(define @t849 () (@quantifiers_skolemize @t845 0))
80.90/81.15	(define @t850 () (@quantifiers_skolemize @t845 2))
80.90/81.15	(define @t851 () (|tptp.'power$'| @t850))
80.90/81.15	(define @t852 () (|tptp.'of_nat$'| @t849))
80.90/81.15	(define @t853 () (>= @t852 1))
80.90/81.15	(define @t854 () (not @t853))
80.90/81.15	(define @t855 () (@quantifiers_skolemize @t845 1))
80.90/81.15	(define @t856 () (|tptp.'set$'| @t855))
80.90/81.15	(define @t857 () (|tptp.'nat$'| (+ -1 @t852)))
80.90/81.15	(define @t858 () (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t855))
80.90/81.15	(define @t859 () (not @t858))
80.90/81.15	(define @t860 () (|tptp.'prime$'| @t849))
80.90/81.15	(define @t861 () (= @t378 (|tptp.'cons$'| @t860 @t855)))
80.90/81.15	(define @t862 () (not @t861))
80.90/81.15	(define @t863 () (or @t862 (not (>= @t852 2)) @t859 (and @t853 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t851 @t857) @t138) @t849))) (and @t854 (not (|tptp.'member$'| (|tptp.'triple$'| @t849 @t850 @t1) @t856))) (and @t853 (not (|tptp.'member$'| (|tptp.'triple$'| @t849 @t850 @t857) @t856))) (and @t854 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t851 @t1) @t138) @t849)))))
80.90/81.15	(define @t864 () (not @t863))
80.90/81.15	(define @t865 () (= |tptp.'ys$'| @t855))
80.90/81.15	(define @t866 () (and (= |tptp.'y$'| @t860) @t865))
80.90/81.15	(define @t867 () (= @t861 @t866))
80.90/81.15	(define @t868 () (not @t865))
80.90/81.15	(define @t869 () (and @t762 @t865 @t858))
80.90/81.15	(define @t870 () (@var "BOUND_VARIABLE_13991" |tptp.'Nat$'|))
80.90/81.15	(define @t871 () (|tptp.'of_nat$'| @t870))
80.90/81.15	(define @t872 () (or (not (|tptp.'member$a'| @t870 @t586)) (and @t727 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t729 @t871))) @t138) @t26))) (and @t730 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t871))) @t138) @t26)))))
80.90/81.15	(define @t873 () (and @t734 @t872))
80.90/81.15	(define @t874 () (not @t556))
80.90/81.15	(define @t875 () (or @t874 @t873))
80.90/81.15	(define @t876 () (or (not @t558) @t135))
80.90/81.15	(define @t877 () (and @t876 @t875))
80.90/81.15	(define @t878 () (not @t596))
80.90/81.15	(define @t879 () (or @t878 @t877))
80.90/81.15	(define @t880 () (forall (@list @t296 @t26 @t29 @t66 @t870) @t879))
80.90/81.15	(define @t881 () (@list @t870))
80.90/81.15	(define @t882 () (forall @t881 @t879))
80.90/81.15	(define @t883 () (forall @t881 @t872))
80.90/81.15	(define @t884 () (forall @t881 @t734))
80.90/81.15	(define @t885 () (and @t884 @t883))
80.90/81.15	(define @t886 () (forall @t881 @t873))
80.90/81.15	(define @t887 () (or @t874 @t886))
80.90/81.15	(define @t888 () (forall @t881 @t875))
80.90/81.15	(define @t889 () (forall @t881 @t876))
80.90/81.15	(define @t890 () (and @t889 @t888))
80.90/81.15	(define @t891 () (forall @t881 @t877))
80.90/81.15	(define @t892 () (or @t878 @t891))
80.90/81.15	(define @t893 () (and @t730 (not @t576)))
80.90/81.15	(define @t894 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t729 @t244))) @t138) @t26))
80.90/81.15	(define @t895 () (and @t727 (not @t894)))
80.90/81.15	(define @t896 () (not @t587))
80.90/81.15	(define @t897 () (or @t896 @t895 @t893))
80.90/81.15	(define @t898 () (and @t734 (forall @t178 @t897)))
80.90/81.15	(define @t899 () (and @t876 (or @t874 @t898)))
80.90/81.15	(define @t900 () (or @t878 @t899))
80.90/81.15	(define @t901 () (forall @t599 @t900))
80.90/81.15	(define @t902 () (or @t762 @t901))
80.90/81.15	(define @t903 () (or @t762 @t900))
80.90/81.15	(define @t904 () (or @t878 @t762 @t899))
80.90/81.15	(define @t905 () (and @t592 (=> @t556 @t898)))
80.90/81.15	(define @t906 () (=> @t730 @t576))
80.90/81.15	(define @t907 () (=> @t727 @t894))
80.90/81.15	(define @t908 () (not (and @t907 @t906)))
80.90/81.15	(define @t909 () (@list false))
80.90/81.15	(define @t910 () (>= @t143 1))
80.90/81.15	(define @t911 () (not @t910))
80.90/81.15	(define @t912 () (and @t911 (not @t142)))
80.90/81.15	(define @t913 () (+ -1 @t143))
80.90/81.15	(define @t914 () (|tptp.'divide$'| @t913))
80.90/81.15	(define @t915 () (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t141 (|tptp.'nat$'| (|tptp.'fun_app$'| @t914 @t38))) @t138) |tptp.'pa$'|))
80.90/81.15	(define @t916 () (and @t910 (not @t915)))
80.90/81.15	(define @t917 () (not @t156))
80.90/81.15	(define @t918 () (or @t917 @t916 @t912))
80.90/81.15	(define @t919 () (forall @t5 @t918))
80.90/81.15	(define @t920 () (@quantifiers_skolemize @t919 0))
80.90/81.15	(define @t921 () (|tptp.'of_nat$'| @t920))
80.90/81.15	(define @t922 () (or (not (|tptp.'member$a'| @t920 @t155)) (and @t910 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t141 (|tptp.'nat$'| (|tptp.'fun_app$'| @t914 @t921))) @t138) |tptp.'pa$'|))) (and @t911 (not (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t141 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t921))) @t138) |tptp.'pa$'|)))))
80.90/81.15	(define @t923 () (>= @t136 1))
80.90/81.15	(define @t924 () (and @t923 @t922))
80.90/81.15	(define @t925 () (not @t662))
80.90/81.15	(define @t926 () (or @t925 @t924))
80.90/81.15	(define @t927 () (not @t659))
80.90/81.15	(define @t928 () (or @t927 @t329))
80.90/81.15	(define @t929 () (and @t928 @t926))
80.90/81.15	(define @t930 () (not @t621))
80.90/81.15	(define @t931 () (or @t930 @t929))
80.90/81.15	(define @t932 () (@list false false))
80.90/81.15	(define @t933 () (not @t929))
80.90/81.15	(define @t934 () (@list @t929))
80.90/81.15	(define @t935 () (+ @t136 1))
80.90/81.15	(define @t936 () (>= 0 @t136))
80.90/81.15	(define @t937 () (or @t917 @t912 @t916))
80.90/81.15	(define @t938 () (=> @t910 @t915))
80.90/81.15	(define @t939 () (=> @t911 @t142))
80.90/81.15	(define @t940 () (not (and @t939 @t938)))
80.90/81.15	(define @t941 () (+ @t143 @t815))
80.90/81.15	(define @t942 () (forall @t5 @t937))
80.90/81.15	(define @t943 () (and @t942 @t923))
80.90/81.15	(define @t944 () (=> @t662 @t943))
80.90/81.15	(define @t945 () (@list true))
80.90/81.15	(define @t946 () (@list @t944))
80.90/81.15	(define @t947 () (not @t924))
80.90/81.15	(define @t948 () (@list @t924))
80.90/81.15	(define @t949 () (@list false true))
80.90/81.15	(define @t950 () (not @t922))
80.90/81.15	(define @t951 () (not @t919))
80.90/81.15	(assume @p1 (forall @t5 @t4))
80.90/81.15	(assume @p2 (forall @t16 (= (or @t15 @t14) @t12)))
80.90/81.15	(assume @p3 (forall @t21 (=> (and @t20 @t19) @t18)))
80.90/81.15	(assume @p4 (forall @t24 (= (|tptp.'fun_app$h'| @t23 @t22) |tptp.'zero$a'|)))
80.90/81.15	(assume @p5 (forall @t25 (= (* @t7 1) @t7)))
80.90/81.15	(assume @p6 (forall @t32 (=> (= @t2 @t31) @t28)))
80.90/81.15	(assume @p7 (forall @t37 (=> (and @t36 (|tptp.'fun_app$b'| @t35 @t26)) (|tptp.'fun_app$b'| @t35 @t34))))
80.90/81.15	(assume @p8 (forall @t5 (=> @t40 @t39)))
80.90/81.15	(assume @p9 (forall @t37 (=> @t39 (= @t44 (= @t43 @t38)))))
80.90/81.15	(assume @p10 (forall @t5 (= (|tptp.'fun_app$d'| @t33 |tptp.'one$'|) @t2)))
80.90/81.15	(assume @p11 (forall @t21 (=> (and (forall @t47 (=> (and @t46 @t45) false)) @t18) false)))
80.90/81.15	(assume @p12 (forall @t16 (=> @t45 (= (|tptp.'fun_app$c'| @t50 @t48) @t14))))
80.90/81.15	(assume @p13 (forall @t56 (= (|tptp.'fun_app$f'| @t51 @t55) (|tptp.'fun_app$f'| (|tptp.'power$a'| @t52) @t29))))
80.90/81.15	(assume @p14 (forall @t32 (= (|tptp.'of_nat$'| (|tptp.'size_pratt$'| @t57)) 0)))
80.90/81.15	(assume @p15 (forall @t37 (|tptp.'fun_app$b'| @t3 @t34)))
80.90/81.15	(assume @p16 (forall @t5 (= (and (forall @t60 (=> @t28 (or @t44 @t59))) @t58) @t40)))
80.90/81.15	(assume @p17 (forall @t37 (=> @t65 (not @t63))))
80.90/81.15	(assume @p18 (forall @t72 (=> @t71 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t69 @t68) @t29))))
80.90/81.15	(assume @p19 (forall @t16 (=> @t76 (< @t8 @t73))))
80.90/81.15	(assume @p20 (forall @t5 (= (|tptp.'fun_app$d'| (|tptp.'power$'| |tptp.'one$'|) @t2) |tptp.'one$'|)))
80.90/81.15	(assume @p21 (forall @t32 (and (=> @t86 (and (=> @t81 (= @t85 0)) (=> @t82 (= @t85 @t79)))) (=> @t83 (and (=> @t81 (= @t80 0)) (=> @t82 (= @t80 @t79)))))))
80.90/81.15	(assume @p22 (forall @t92 (=> @t91 (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t89 @t88) @t6))))
80.90/81.15	(assume @p23 (forall @t16 (=> (and @t99 (forall @t98 (=> (and @t97 @t95 @t94) false))) false)))
80.90/81.15	(assume @p24 (forall @t92 (=> (|tptp.'fun_app$c'| @t90 @t100) @t91)))
80.90/81.15	(assume @p25 (forall @t21 (= @t74 (< @t101 0))))
80.90/81.15	(assume @p26 (forall @t92 (=> (and @t103 @t20) (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t8) @t88))))
80.90/81.15	(assume @p27 (forall (@list @t104 @t105) (=> (and @t112 (forall @t110 (|tptp.'fun_app$e'| @t105 (|tptp.'cons$'| @t107 |tptp.'nil$'|))) (forall @t109 (=> (and (|tptp.'fun_app$e'| @t105 @t106) (not (= @t106 |tptp.'nil$'|))) (|tptp.'fun_app$e'| @t105 @t108)))) (|tptp.'fun_app$e'| @t105 @t104))))
80.90/81.15	(assume @p28 (= (|tptp.'prime_factorization$'| |tptp.'zero$'|) |tptp.'zero$b'|))
80.90/81.15	(assume @p29 (forall @t21 (=> (and @t116 @t115 @t45) (|tptp.'member$b'| @t9 @t114))))
80.90/81.15	(assume @p30 (forall @t32 (=> @t122 (= @t121 @t117))))
80.90/81.15	(assume @p31 (forall @t25 (not (< (|tptp.'times$'| @t7 @t7) 0))))
80.90/81.15	(assume @p32 (forall @t37 (=> (and @t36 @t123) (|tptp.'fun_app$b'| @t35 @t62))))
80.90/81.15	(assume @p33 (forall @t92 (=> @t91 (|tptp.'fun_app$c'| (|tptp.'cong$a'| (|tptp.'times$'| @t87 @t7) (|tptp.'times$'| @t87 @t9)) @t6))))
80.90/81.15	(assume @p34 (forall @t21 (= (< 0 @t101) @t124)))
80.90/81.15	(assume @p35 (forall @t5 (= (= @t2 |tptp.'one$'|) (= |tptp.'one$'| @t2))))
80.90/81.15	(assume @p36 (forall @t5 (= (|tptp.'fun_app$d'| @t125 |tptp.'one$'|) @t2)))
80.90/81.15	(assume @p37 (forall @t32 (=> @t122 @t128)))
80.90/81.15	(assume @p38 (forall @t16 (=> @t18 (= (|tptp.'fun_app$c'| @t50 @t6) @t14))))
80.90/81.15	(assume @p39 (forall @t5 (= (= |tptp.'zero$'| @t2) @t64)))
80.90/81.15	(assume @p40 (forall @t37 (=> @t40 (= @t130 @t129))))
80.90/81.15	(assume @p41 (forall @t72 (=> (and @t135 @t134 @t132 @t40) @t131)))
80.90/81.15	(assume @p42 (=> (and @t159 (not @t157)) (and (forall @t5 (=> @t156 (not (and @t154 @t145)))) @t137)))
80.90/81.15	(assume @p43 (forall @t16 (= (- @t101 @t6) (- @t160 @t9))))
80.90/81.15	(assume @p44 (forall @t5 (= (|tptp.'fun_app$d'| @t161 @t2) |tptp.'zero$'|)))
80.90/81.15	(assume @p45 (forall @t32 (= @t164 (or @t163 @t162))))
80.90/81.15	(assume @p46 (forall @t37 (= (or @t166 @t168) (and (=> @t166 @t4) (=> @t167 (|tptp.'fun_app$b'| @t3 (|tptp.'nat$'| @t165)))))))
80.90/81.15	(assume @p47 (forall @t5 (=> (and @t170 (forall @t60 (=> @t169 false)) @t65) false)))
80.90/81.15	(assume @p48 (forall @t56 (=> @t173 (= @t172 @t162))))
80.90/81.15	(assume @p49 (forall @t5 (=> @t174 false)))
80.90/81.15	(assume @p50 (forall @t72 (=> (and @t182 (= (|tptp.'of_nat$'| @t181) @t179) @t40) (exists @t178 (= @t53 @t177)))))
80.90/81.15	(assume @p51 (forall @t187 (=> @t20 (= (|tptp.'fun_app$f'| (|tptp.'power$a'| @t186) @t29) (|tptp.'fun_app$'| (|tptp.'divide$'| @t184) @t171)))))
80.90/81.15	(assume @p52 (forall @t37 (|tptp.'fun_app$b'| @t70 |tptp.'one$'|)))
80.90/81.15	(assume @p53 (forall @t16 (=> @t188 @t14)))
80.90/81.15	(assume @p54 (forall @t32 (= @t190 (|tptp.'fun_app$d'| @t30 @t189))))
80.90/81.15	(assume @p55 (forall @t5 (and (=> @t193 (= @t192 |tptp.'nil$a'|)) (=> @t163 (= @t192 @t191)))))
80.90/81.15	(assume @p56 (forall @t5 (= @t195 (or @t64 @t122))))
80.90/81.15	(assume @p57 (forall @t25 (= (* 1 @t7) @t7)))
80.90/81.15	(assume @p58 (forall @t196 (=> (and @t173 @t123) (< 1 @t52))))
80.90/81.15	(assume @p59 (forall @t5 (and (=> @t163 (= @t197 |tptp.'one$'|)) (=> @t193 @t198))))
80.90/81.15	(assume @p60 (forall @t37 (=> (and (=> @t167 (= @t165 0)) (=> @t166 @t200) (=> @t203 (= @t202 0)) (=> @t201 @t200)) @t199)))
80.90/81.15	(assume @p61 (forall @t25 (= (|tptp.'fun_app$'| @t139 @t7) 0)))
80.90/81.15	(assume @p62 (forall @t214 (=> (and (forall @t213 (=> (and @t132 @t212) @t210)) (|tptp.'fun_app$b'| @t204 @t1)) @t205)))
80.90/81.15	(assume @p63 (forall @t16 (and (=> @t15 (= @t217 0)) @t218)))
80.90/81.15	(assume @p64 (forall @t5 (=> @t122 (= (|tptp.'fun_app$d'| @t219 @t220) @t2))))
80.90/81.15	(assume @p65 (forall @t32 (=> @t222 (and (=> @t83 @t4) (=> @t86 (|tptp.'fun_app$b'| @t3 (|tptp.'nat$'| @t84)))))))
80.90/81.15	(assume @p66 (not (|tptp.'fun_app$c'| @t223 1)))
80.90/81.15	(assume @p67 (forall @t37 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t2 @t2) @t26)))
80.90/81.15	(assume @p68 (forall @t32 (=> @t65 (= (|tptp.'fun_app$b'| @t225 @t189) @t224))))
80.90/81.15	(assume @p69 (forall @t32 (=> @t122 (= @t226 @t224))))
80.90/81.15	(assume @p70 (forall @t234 (=> (and @t115 @t233) (= @t232 (or (and @t230 @t229) (and @t228 @t227))))))
80.90/81.15	(assume @p71 (forall @t16 (=> @t237 (= @t236 @t235))))
80.90/81.15	(assume @p72 (forall @t16 (=> @t242 @t241)))
80.90/81.15	(assume @p73 (forall @t249 (=> (and @t40 @t248 @t245 @t243) false)))
80.90/81.15	(assume @p74 (forall @t37 (=> @t252 @t168)))
80.90/81.15	(assume @p75 (forall @t5 (= (|tptp.'fun_app$d'| (|tptp.'divide$a'| |tptp.'zero$'|) @t2) |tptp.'zero$'|)))
80.90/81.15	(assume @p76 (forall @t32 (= @t71 @t253)))
80.90/81.15	(assume @p77 (forall @t25 (= (|tptp.'fun_app$'| @t254 1) @t7)))
80.90/81.15	(assume @p78 (forall @t32 (=> @t255 (= @t221 (|tptp.'fun_app$b'| @t3 @t181)))))
80.90/81.15	(assume @p79 (forall @t261 (=> (and @t260 (=> (and (= @t9 @t87) @t258) false) @t257 @t256 @t233) false)))
80.90/81.15	(assume @p80 (forall @t16 (=> @t263 (= @t235 @t262))))
80.90/81.15	(assume @p81 (forall @t32 (=> @t122 (= @t224 (|tptp.'fun_app$b'| @t27 @t265)))))
80.90/81.15	(assume @p82 (forall @t268 (= (|tptp.'fun_app$g'| @t267 |tptp.'zero$b'|) @t266)))
80.90/81.15	(assume @p83 (forall @t16 (= (|tptp.'times$'| @t7 @t269) (- @t10 @t8))))
80.90/81.15	(assume @p84 (forall @t271 (=> (and @t91 @t270) (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t89 (|tptp.'times$'| @t9 @t93)) @t6))))
80.90/81.15	(assume @p85 (forall @t16 (= (|tptp.'times$'| @t101 @t6) (- @t8 @t73))))
80.90/81.15	(assume @p86 (forall @t37 (=> @t274 @t272)))
80.90/81.15	(assume @p87 (forall @t25 (= @t15 (= 0 @t7))))
80.90/81.15	(assume @p88 (forall @t5 (=> (and @t65 @t170) @t275)))
80.90/81.15	(assume @p89 (forall @t32 (=> (and @t168 @t221) @t276)))
80.90/81.15	(assume @p90 (forall (@list @t7 @t9 @t6 @t66) (=> @t91 (|tptp.'fun_app$c'| (|tptp.'cong$a'| (|tptp.'fun_app$f'| @t51 @t66) @t231) @t6))))
80.90/81.15	(assume @p91 (forall @t21 (=> @t279 @t277)))
80.90/81.15	(assume @p92 (forall @t25 (= (* 0 @t7) 0)))
80.90/81.15	(assume @p93 (forall @t37 (=> @t39 (and (=> @t287 (= @t286 (|tptp.'times$'| (|tptp.'of_nat$'| @t289) @t281))) (=> @t288 (= @t286 (|tptp.'times$'| (|tptp.'of_nat$'| @t284) @t281)))))))
80.90/81.15	(assume @p94 (forall @t5 @t291))
80.90/81.15	(assume @p95 (forall @t37 (=> @t168 @t293)))
80.90/81.15	(assume @p96 (forall @t32 (=> @t40 (= @t294 (|tptp.'fun_app$b'| @t3 @t55)))))
80.90/81.15	(assume @p97 (forall @t298 (not (= |tptp.'nil$'| @t297))))
80.90/81.15	(assume @p98 (forall @t32 (= (|tptp.'fun_app$d'| (|tptp.'minus$'| @t299) @t29) (|tptp.'fun_app$d'| (|tptp.'minus$'| (|tptp.'fun_app$d'| @t161 @t29)) @t26))))
80.90/81.15	(assume @p99 (forall @t37 (= (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t62) |tptp.'one$'|) (or @t130 @t122))))
80.90/81.15	(assume @p100 (forall @t56 (=> @t173 (= @t300 @t83))))
80.90/81.15	(assume @p101 (forall @t32 (=> @t303 @t302)))
80.90/81.15	(assume @p102 (forall @t32 (=> @t65 (= (|tptp.'fun_app$b'| @t304 @t119) @t224))))
80.90/81.15	(assume @p103 (forall (@list @t305 @t26) (= (|tptp.'member$a'| @t26 @t305) (|tptp.'fun_app$b'| @t306 @t26))))
80.90/81.15	(assume @p104 (forall (@list @t307 @t9) (= (|tptp.'fun_app$c'| @t308 @t9) (|tptp.'member$b'| @t9 @t307))))
80.90/81.15	(assume @p105 (forall (@list @t309 @t9) (=> (and (|tptp.'fun_app$c'| @t309 0) (forall @t47 (=> @t311 (|tptp.'fun_app$c'| @t309 @t6))) (forall (@list @t6 @t87) (=> (and (|tptp.'fun_app$c'| @t309 @t87) @t310) (|tptp.'fun_app$c'| @t309 @t100)))) (|tptp.'fun_app$c'| @t309 @t9))))
80.90/81.15	(assume @p106 (forall (@list @t307) (= (|tptp.'collect$'| @t308) @t307)))
80.90/81.15	(assume @p107 (forall @t16 (=> @t313 (= (|tptp.'fun_app$'| @t238 @t186) (|tptp.'times$'| @t312 @t7)))))
80.90/81.15	(assume @p108 (forall @t32 (=> @t122 @t276)))
80.90/81.15	(assume @p109 (forall @t92 (=> (and @t20 @t103) (= (|tptp.'times$'| @t186 (|tptp.'fun_app$'| @t314 @t6)) (|tptp.'fun_app$'| (|tptp.'divide$'| @t88) @t8)))))
80.90/81.15	(assume @p110 (forall @t5 (|tptp.'fun_app$b'| @t3 |tptp.'zero$'|)))
80.90/81.15	(assume @p111 (forall @t37 (|tptp.'fun_app$b'| @t315 @t26)))
80.90/81.15	(assume @p112 (not (< 1 0)))
80.90/81.15	(assume @p113 (forall @t16 (=> @t20 (= (|tptp.'times$'| @t6 @t186) (|tptp.'fun_app$'| (|tptp.'divide$'| @t316) @t7)))))
80.90/81.15	(assume @p114 (forall @t32 (=> @t317 @t221)))
80.90/81.15	(assume @p115 (forall @t187 (=> @t319 (= @t318 1))))
80.90/81.15	(assume @p116 (forall @t16 (= (< @t10 @t316) (or (and (< @t6 @t7) @t320) (and (< @t7 @t6) @t278)))))
80.90/81.15	(assume @p117 (forall @t92 (=> @t321 (= @t228 (= @t6 @t87)))))
80.90/81.15	(assume @p118 (forall @t24 (= (|tptp.'fun_app$h'| (|tptp.'minus$b'| |tptp.'zero$a'|) @t22) |tptp.'zero$a'|)))
80.90/81.15	(assume @p119 (forall @t298 (|tptp.'member$'| @t296 (|tptp.'set$'| @t297))))
80.90/81.15	(assume @p120 (forall @t37 (= @t199 (= @t323 @t322))))
80.90/81.15	(assume @p121 (forall @t16 (=> @t18 @t325)))
80.90/81.15	(assume @p122 (forall @t328 (=> (or @t327 @t39) (|tptp.'fun_app$c'| @t13 @t326))))
80.90/81.15	(assume @p123 (=> @t331 @t329))
80.90/81.15	(assume @p124 (forall @t37 (=> @t168 (= (|tptp.'fun_app$d'| @t33 @t127) @t26))))
80.90/81.15	(assume @p125 (forall @t21 (=> (and @t233 @t115 @t20) @t228)))
80.90/81.15	(assume @p126 (forall @t72 (=> (and @t168 @t334) (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t189) @t332))))
80.90/81.15	(assume @p127 (forall @t5 (and (=> @t39 @t200) (=> @t335 (= (- 0 @t38) 0)))))
80.90/81.15	(assume @p128 (forall @t32 (=> @t65 (= (|tptp.'fun_app$d'| @t337 @t119) @t336))))
80.90/81.15	(assume @p129 (forall @t32 (=> (and (< @t339 @t338) @t39) @t83)))
80.90/81.15	(assume @p130 (forall @t376 (=> (and (=> (and @t111 @t342) false) (forall @t375 (=> (and (= (and @t374 (exists @t178 (and @t373 @t372 @t370 @t368)) @t363) @t342) @t366) false)) (forall @t364 (=> (and (= @t342 (and @t363 @t362 (or (exists @t361 (and @t360 @t359 @t353 @t351)) @t348) @t347)) @t346) false)) @t343) false)))
80.90/81.15	(assume @p131 (forall @t16 (=> (and @t74 @t75) @t377)))
80.90/81.15	(assume @p132 (forall @t37 (|tptp.'fun_app$b'| @t3 @t120)))
80.90/81.15	(assume @p133 @t379)
80.90/81.15	(assume @p134 (forall @t16 (=> (and @t20 @t14) (= (|tptp.'fun_app$'| @t240 @t186) @t312))))
80.90/81.15	(assume @p135 (forall @t16 (=> @t381 (= (|tptp.'fun_app$'| (|tptp.'divide$'| @t269) @t7) (- @t186 @t239)))))
80.90/81.15	(assume @p136 (forall @t37 (=> (and @t65 @t135 @t28) @t383)))
80.90/81.15	(assume @p137 (forall @t32 (=> @t122 (= (|tptp.'fun_app$d'| @t30 @t265) @t384))))
80.90/81.16	(assume @p138 (forall @t32 (=> @t40 (= @t385 @t294))))
80.90/81.16	(assume @p139 (forall @t21 (= (= @t7 @t49) @t386)))
80.90/81.16	(assume @p140 (forall @t37 (= (< 0 @t339) (or @t130 @t39))))
80.90/81.16	(assume @p141 (forall @t92 (=> (and @t45 @t389 @t387 @t380) (= (= @t239 (|tptp.'fun_app$'| @t314 @t9)) (= @t316 @t89)))))
80.90/81.16	(assume @p142 (forall @t21 (= (|tptp.'fun_app$'| (|tptp.'uuc$'| @t7) @t9) @t101)))
80.90/81.16	(assume @p143 (forall @t268 (= (= @t266 |tptp.'zero$b'|) (= |tptp.'zero$b'| @t266))))
80.90/81.16	(assume @p144 (forall @t5 (=> @t40 @t58)))
80.90/81.16	(assume @p145 (forall @t21 (=> (and (=> @t124 false) (=> @t74 false) (not @t228)) false)))
80.90/81.16	(assume @p146 (forall @t16 (=> @t18 (= (= @t9 @t239) (= @t49 @t6)))))
80.90/81.16	(assume @p147 (forall @t32 (=> (and @t390 @t40) @t162)))
80.90/81.16	(assume @p148 (forall @t32 (= (|tptp.'fun_app$d'| @t61 @t55) (|tptp.'fun_app$d'| (|tptp.'power$'| @t62) @t29))))
80.90/81.16	(assume @p149 (forall @t37 (=> @t274 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t391) |tptp.'one$'|))))
80.90/81.16	(assume @p150 (forall @t25 (= (= 1 @t7) @t392)))
80.90/81.16	(assume @p151 (forall @t32 (= @t393 (or @t117 @t64))))
80.90/81.16	(assume @p152 (forall @t214 (=> (forall @t213 (=> @t212 @t210)) @t205)))
80.90/81.16	(assume @p153 (< 0 1))
80.90/81.16	(assume @p154 (forall @t37 (=> (and (forall @t213 (=> @t394 false)) @t168) false)))
80.90/81.16	(assume @p155 (forall @t21 (=> (and @t237 @t320) @t277)))
80.90/81.16	(assume @p156 (forall @t214 (=> (forall @t213 (=> (forall @t209 (=> @t208 @t206)) @t211)) @t205)))
80.90/81.16	(assume @p157 (forall @t32 (and (=> @t163 (= @t397 0)) (=> @t193 @t398))))
80.90/81.16	(assume @p158 (forall @t37 (=> @t252 @t40)))
80.90/81.16	(assume @p159 (forall @t16 (=> @t188 @t241)))
80.90/81.16	(assume @p160 (forall @t21 (=> (and @t233 @t399 @t124) (not @t116))))
80.90/81.16	(assume @p161 (forall @t37 (=> @t403 @t400)))
80.90/81.16	(assume @p162 (forall @t92 (=> (and @t91 (|tptp.'fun_app$c'| @t96 @t6)) (|tptp.'fun_app$c'| @t90 @t87))))
80.90/81.16	(assume @p163 (forall @t5 (=> (and @t58 @t405) (exists (@list @t26 @t29) (and @t58 @t404 @t363 @t201 (= @t41 @t77))))))
80.90/81.16	(assume @p164 (forall @t32 (and (=> @t418 (and (=> @t412 @t200) (=> (not @t412) (and (=> @t408 (= 0 @t414)) (=> @t409 (= 0 @t413)))))) (=> (not @t418) (and (=> @t201 (and (=> @t416 (and (=> @t409 (= @t417 @t413)) (=> @t408 (= @t417 @t414)))) (=> @t415 (= @t417 0)))) (=> @t203 (and (=> @t416 (and (=> @t408 (= @t406 @t414)) (=> @t409 (= @t406 @t413)))) (=> @t412 (= @t406 0)))))))))
80.90/81.16	(assume @p165 (forall @t32 (=> (and @t385 @t40) (or @t168 @t221))))
80.90/81.16	(assume @p166 (forall @t32 (=> @t303 (|tptp.'fun_app$b'| @t3 @t419))))
80.90/81.16	(assume @p167 (forall @t16 (=> @t99 (exists @t98 (and @t94 @t97 @t95)))))
80.90/81.16	(assume @p168 (forall @t5 (= (|tptp.'fun_app$b'| @t3 @t138) @t420)))
80.90/81.16	(assume @p169 (forall @t196 (=> @t263 (< 0 @t52))))
80.90/81.16	(assume @p170 (forall @t37 (= (= @t78 1) (and @t44 @t420))))
80.90/81.16	(assume @p171 (forall @t5 (=> @t40 (and @t425 @t423))))
80.90/81.16	(assume @p172 (forall @t32 (=> (= @t34 |tptp.'one$'|) (= @t428 |tptp.'one$'|))))
80.90/81.16	(assume @p173 (forall @t5 (= (|tptp.'fun_app$d'| @t61 @t138) @t2)))
80.90/81.16	(assume @p174 (forall @t21 (|tptp.'fun_app$c'| @t429 @t7)))
80.90/81.16	(assume @p175 (forall @t481 (=> (and @t480 (forall @t479 (=> (and (not (and (exists @t209 (and @t478 @t476 @t472 @t467)) @t465 @t458)) @t464 @t463) false)) (forall @t460 (=> (and @t459 (not (and @t458 @t457 (or @t456 (exists @t455 (and @t454 @t453 (not (and @t452 @t450)) @t439))) @t436)) @t435) false)) @t431) false)))
80.90/81.16	(assume @p176 (forall @t32 (=> (and @t224 @t122) (= (|tptp.'fun_app$d'| @t264 @t120) (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t419) @t2)))))
80.90/81.16	(assume @p177 (forall @t37 (=> @t40 (= @t130 (= |tptp.'one$'| @t62)))))
80.90/81.16	(assume @p178 (forall @t5 (= (* 1 @t38) @t38)))
80.90/81.16	(assume @p179 (forall (@list @t2 @t26 @t29 @t106) (= (and (or (exists @t484 (and (= @t53 (|tptp.'times$'| @t244 @t440)) (|tptp.'member$'| (|tptp.'prime$'| @t175) @t367) (not (and (=> @t287 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 @t483) @t138) @t2)) (=> @t288 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 (|tptp.'nat$'| (|tptp.'fun_app$'| @t482 @t244))) @t138) @t2)))) (|tptp.'member$'| (|tptp.'triple$'| @t2 @t26 @t438) @t367))) (= @t53 1)) @t374 @t132 @t58) (|tptp.'fun_app$e'| |tptp.'valid_cert$'| (|tptp.'cons$'| @t57 @t106)))))
80.90/81.16	(assume @p180 (forall @t37 (= (and @t486 @t40 @t168) @t252)))
80.90/81.16	(assume @p181 (forall @t5 (=> (and (=> @t193 false) @t487) false)))
80.90/81.16	(assume @p182 (forall @t37 (=> @t403 (|tptp.'fun_app$b'| (|tptp.'less$'| @t120) |tptp.'zero$'|))))
80.90/81.16	(assume @p183 (|tptp.'member$'| |tptp.'ta$'| (|tptp.'set$'| @t378)))
80.90/81.16	(assume @p184 (forall @t32 (=> @t168 (|tptp.'fun_app$b'| @t3 @t488))))
80.90/81.16	(assume @p185 (forall @t196 (= (|tptp.'times$'| @t52 @t7) @t489)))
80.90/81.16	(assume @p186 (forall @t21 (=> (and (forall @t47 (=> @t46 false)) @t20) false)))
80.90/81.16	(assume @p187 (forall @t32 (= @t164 (or @t162 @t163))))
80.90/81.16	(assume @p188 (forall @t32 (=> @t122 @t490)))
80.90/81.16	(assume @p189 (forall @t16 (=> @t313 @t380)))
80.90/81.16	(assume @p190 (forall @t37 (=> @t201 (not @t59))))
80.90/81.16	(assume @p191 (forall @t21 (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t7 @t7) @t9)))
80.90/81.16	(assume @p192 (forall @t32 (=> @t201 @t415)))
80.90/81.16	(assume @p193 (forall @t494 (=> (and @t201 (< @t6 1) @t75) (< @t493 @t492))))
80.90/81.16	(assume @p194 (forall @t32 (=> @t122 (= (|tptp.'fun_app$b'| @t27 @t189) @t224))))
80.90/81.16	(assume @p195 (forall @t16 (=> @t381 (= @t496 @t495))))
80.90/81.16	(assume @p196 (forall @t32 (=> @t39 (= @t164 @t162))))
80.90/81.16	(assume @p197 (forall @t37 (=> (and @t65 @t273) (= (|tptp.'fun_app$d'| @t125 @t34) @t497))))
80.90/81.16	(assume @p198 (forall @t37 (exists @t507 (and @t506 (or (and (=> @t505 @t499) (=> (not @t505) (= (- @t504 @t503) @t53))) (and (=> (not @t502) (= (- @t501 @t500) @t53)) (=> @t502 @t499))) @t498))))
80.90/81.16	(assume @p199 (forall @t261 (=> (and @t245 @t256 @t260 @t233) false)))
80.90/81.16	(assume @p200 (=> @t159 (and @t137 @t511)))
80.90/81.16	(assume @p201 (forall @t72 (=> (and (= @t54 @t179) @t40) (exists @t484 (and (= @t53 (|tptp.'of_nat$'| (|tptp.'fun_app$d'| @t61 @t438))) (= @t41 @t177))))))
80.90/81.16	(assume @p202 (forall @t32 (=> @t514 (= @t513 @t226))))
80.90/81.16	(assume @p203 (forall @t5 (= @t424 @t163)))
80.90/81.16	(assume @p204 (not (= 0 1)))
80.90/81.16	(assume @p205 (forall @t37 (=> (and @t273 @t65) (= (|tptp.'fun_app$d'| @t125 @t120) @t497))))
80.90/81.16	(assume @p206 (forall @t21 (=> @t517 @t20)))
80.90/81.16	(assume @p207 (forall @t196 (= (or @t130 @t18) (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t52) 1))))
80.90/81.16	(assume @p208 (forall @t32 (=> @t39 (= (< @t41 @t519) (< @t518 @t53)))))
80.90/81.16	(assume @p209 (forall @t72 (=> (and @t334 @t168) (= (|tptp.'fun_app$d'| @t292 (|tptp.'fun_app$d'| @t520 @t29)) (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t332) @t189)))))
80.90/81.16	(assume @p210 (forall @t32 (=> @t122 (= @t303 @t224))))
80.90/81.16	(assume @p211 (forall @t16 (=> (and @t74 @t521) (< @t73 @t8))))
80.90/81.16	(assume @p212 (forall @t5 (= (|tptp.'fun_app$d'| (|tptp.'minus$'| |tptp.'zero$'|) @t2) |tptp.'zero$'|)))
80.90/81.16	(assume @p213 (forall @t32 (=> (and @t71 @t83 @t408) @t199)))
80.90/81.16	(assume @p214 (forall @t21 (= @t523 (or @t522 (and @t278 @t237)))))
80.90/81.16	(assume @p215 (forall @t249 (=> (and @t40 @t243 (=> (and @t258 (= @t26 @t66)) false) @t524 @t248) false)))
80.90/81.16	(assume @p216 (forall @t21 (= (or @t15 @t388) @t525)))
80.90/81.16	(assume @p217 (forall @t5 (not (|tptp.'member$a'| |tptp.'zero$'| @t382))))
80.90/81.16	(assume @p218 (forall @t37 (and (=> @t182 (and (=> @t448 (= @t62 (|tptp.'fun_app$d'| @t33 @t527))) (=> @t449 (= @t62 (|tptp.'fun_app$d'| @t33 @t526))))) (=> @t130 @t129))))
80.90/81.16	(assume @p219 (forall @t5 (= @t39 (< 0 @t422))))
80.90/81.16	(assume @p220 (forall @t16 (= (|tptp.'times$'| @t10 @t6) @t528)))
80.90/81.16	(assume @p221 (forall @t196 (= (and @t233 @t44) (|tptp.'fun_app$c'| |tptp.'prime$b'| @t52))))
80.90/81.16	(assume @p222 (forall @t196 (and (=> @t130 @t530) (=> @t182 (and (=> @t449 (= @t52 (|tptp.'times$'| @t7 (|tptp.'fun_app$f'| @t51 @t468)))) (=> @t448 (= @t52 (|tptp.'times$'| @t7 @t529))))))))
80.90/81.16	(assume @p223 (forall @t37 (=> @t122 @t293)))
80.90/81.16	(assume @p224 (forall @t21 (=> @t45 (= (|tptp.'fun_app$'| @t531 @t7) @t9))))
80.90/81.16	(assume @p225 (forall @t32 (=> @t533 (< @t519 @t532))))
80.90/81.16	(assume @p226 (forall @t37 (=> @t39 (and (=> @t287 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| @t289) @t26) @t285)) (=> @t288 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| @t284) @t26) @t285))))))
80.90/81.16	(assume @p227 (= (- 1 1) 0))
80.90/81.16	(assume @p228 (forall @t5 (= (* @t38 0) 0)))
80.90/81.16	(assume @p229 (forall @t37 (=> (and @t402 @t535) @t534)))
80.90/81.16	(assume @p230 (forall @t16 (=> (= @t7 @t73) @t116)))
80.90/81.16	(assume @p231 (forall @t37 (=> @t536 (or @t485 @t64))))
80.90/81.16	(assume @p232 (forall @t16 (=> @t76 @t377)))
80.90/81.16	(assume @p233 (forall @t32 (=> @t65 (= @t117 @t393))))
80.90/81.16	(assume @p234 (forall @t21 (|tptp.'fun_app$c'| @t17 @t49)))
80.90/81.16	(assume @p235 (forall @t37 (= (or @t64 @t485) @t536)))
80.90/81.16	(assume @p236 (forall @t37 (=> (and @t243 @t40) (and @t538 @t537))))
80.90/81.16	(assume @p237 (forall @t16 (=> @t20 @t99)))
80.90/81.16	(assume @p238 (forall @t37 (=> @t201 @t539)))
80.90/81.16	(assume @p239 (forall @t541 (|tptp.'member$a'| @t2 (|tptp.'set$a'| (|tptp.'cons$b'| @t2 @t540)))))
80.90/81.16	(assume @p240 (forall @t5 (= (* @t38 1) @t38)))
80.90/81.16	(assume @p241 (forall @t5 (and (=> @t174 @t200) (=> @t542 (= (- @t38 @t38) 0)))))
80.90/81.16	(assume @p242 (forall @t92 (=> @t321 (= @t74 @t543))))
80.90/81.16	(assume @p243 (forall @t24 (= (= @t22 |tptp.'zero$a'|) (= |tptp.'zero$a'| @t22))))
80.90/81.16	(assume @p244 (forall @t5 (= @t335 @t163)))
80.90/81.16	(assume @p245 (forall @t32 (=> (and (forall @t546 (=> @t545 false)) @t385) false)))
80.90/81.16	(assume @p246 (not (|tptp.'fun_app$b'| @t547 |tptp.'one$'|)))
80.90/81.16	(assume @p247 (= (|tptp.'of_nat$'| (|tptp.'totient$'| @t1)) 0))
80.90/81.16	(assume @p248 (forall @t16 (=> (and @t45 @t12) @t14)))
80.90/81.16	(assume @p249 (forall @t16 (=> @t18 (= @t496 @t548))))
80.90/81.16	(assume @p250 (forall @t37 (=> @t39 (= (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| @t285)) @t251))))
80.90/81.16	(assume @p251 (forall @t21 (=> (and @t263 @t320) @t523)))
80.90/81.16	(assume @p252 (forall @t16 (= (|tptp.'fun_app$c'| @t17 @t550) @t549)))
80.90/81.16	(assume @p253 (forall @t32 (=> @t514 (= (|tptp.'fun_app$b'| @t333 @t127) (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t119) @t26)))))
80.90/81.16	(assume @p254 (forall @t21 (=> @t517 @t233)))
80.90/81.16	(assume @p255 (forall @t37 (=> @t65 (= (|tptp.'fun_app$d'| @t337 @t2) @t26))))
80.90/81.16	(assume @p256 (forall @t21 (=> @t18 (= (|tptp.'times$'| @t9 @t552) @t186))))
80.90/81.16	(assume @p257 (forall @t5 (=> @t40 (exists @t60 (and (forall @t213 (=> (and (=> @t288 (|tptp.'member$a'| @t29 (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| @t283)))) (=> @t287 (|tptp.'member$a'| @t29 (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| @t1))))) (not (and (=> @t288 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 (|tptp.'nat$'| (|tptp.'fun_app$'| @t482 @t53))) @t138) @t2)) (=> @t287 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t53))) @t138) @t2)))))) @t166 @t123 @t537 @t538)))))
80.90/81.16	(assume @p258 (forall @t16 (=> @t45 (= @t548 @t496))))
80.90/81.16	(assume @p259 (not (< 1 1)))
80.90/81.16	(assume @p260 (forall @t5 (=> @t553 @t64)))
80.90/81.16	(assume @p261 (forall @t24 (= (|tptp.'fun_app$h'| @t23 |tptp.'zero$a'|) @t22)))
80.90/81.16	(assume @p262 (|tptp.'member$'| |tptp.'t$'| (|tptp.'set$'| |tptp.'c$'|)))
80.90/81.16	(assume @p263 (forall @t21 @t554))
80.90/81.16	(assume @p264 (forall @t25 (=> @t18 (not @t233))))
80.90/81.16	(assume @p265 (forall @t25 (not (|tptp.'member$b'| 0 @t114))))
80.90/81.16	(assume @p266 (forall @t32 (=> @t317 (= (|tptp.'fun_app$d'| @t264 @t127) (|tptp.'fun_app$d'| (|tptp.'times$a'| @t419) @t2)))))
80.90/81.16	(assume @p267 (forall @t16 (=> (and @t233 @t99) @t555)))
80.90/81.16	(assume @p268 (forall @t72 (=> (and @t135 @t40) (= (or (and @t131 @t227) (and @t229 @t230)) @t134))))
80.90/81.16	(assume @p269 (forall @t32 (=> (and @t40 (|tptp.'fun_app$b'| @t3 @t426)) @t168)))
80.90/81.16	(assume @p270 (not (|tptp.'fun_app$c'| |tptp.'prime$b'| 1)))
80.90/81.16	(assume @p271 (forall @t32 (=> @t71 (= @t506 @t498))))
80.90/81.16	(assume @p272 (forall (@list @t296) (=> (and (forall @t60 (=> @t558 false)) (forall @t557 (=> @t556 false))) false)))
80.90/81.16	(assume @p273 (forall @t376 (=> (and @t343 @t431 (forall @t375 (=> (and @t366 (|tptp.'fun_app$e'| @t430 @t365) (= (and @t363 (exists @t178 (and @t372 @t370 @t368 @t373)) @t374) @t342)) false)) (forall @t364 (=> (and (|tptp.'fun_app$e'| @t430 @t345) (= (and @t363 @t347 (or (exists @t361 (and @t359 @t353 @t351 @t360)) @t348) @t362) @t342) @t346) false)) (=> (and @t342 @t559 @t111) false)) false)))
80.90/81.16	(assume @p274 (forall @t32 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| @t299) @t29) (|tptp.'fun_app$d'| (|tptp.'minus$'| @t189) @t31))))
80.90/81.16	(assume @p275 (forall @t25 (=> @t560 @t15)))
80.90/81.16	(assume @p276 (forall @t21 (=> @t20 (= (|tptp.'times$'| @t7 @t186) @t9))))
80.90/81.16	(assume @p277 (forall @t37 (=> (and @t123 @t39) (and (=> @t166 @t123) (=> @t167 (< @t165 @t41))))))
80.90/81.16	(assume @p278 (forall (@list @t7 @t26 @t6) (=> (and @t123 @t233) (= (|tptp.'fun_app$c'| @t17 @t493) @t380))))
80.90/81.16	(assume @p279 (forall @t234 (=> (and @t233 @t115 @t232 @t132) @t228)))
80.90/81.16	(assume @p280 (forall @t5 (=> @t39 @t562)))
80.90/81.16	(assume @p281 (not (|tptp.'fun_app$c'| |tptp.'prime$b'| 0)))
80.90/81.16	(assume @p282 (forall @t298 (not (= @t297 @t295))))
80.90/81.16	(assume @p283 (forall @t16 (=> @t566 (= @t565 @t564))))
80.90/81.16	(assume @p284 (forall @t5 (and (=> @t290 @t567) (=> @t291 (= (- @t38 0) @t38)))))
80.90/81.16	(assume @p285 (forall @t21 (=> (and @t277 @t278) @t263)))
80.90/81.16	(assume @p286 (forall @t481 (=> (and @t569 (forall (@list @t568) (=> (= @t104 (|tptp.'cons$'| @t568 |tptp.'nil$'|)) false)) (forall (@list @t568 @t107 @t106) (=> (= @t104 (|tptp.'cons$'| @t568 @t108)) false))) false)))
80.90/81.16	(assume @p287 (forall @t21 (=> @t263 (= (and @t327 @t392) @t319))))
80.90/81.16	(assume @p288 (forall @t21 (=> (and (forall @t47 (=> (and (= @t552 @t6) (= @t186 @t73) (= @t8 1) (= (|tptp.'fun_app$'| @t551 @t6) @t7) @t311 (not (= @t6 0)) @t45) false)) @t18) false)))
80.90/81.16	(assume @p289 (forall @t72 (=> (and @t71 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t26 @t66) @t29)) (|tptp.'fun_app$b'| (|tptp.'cong$'| @t2 @t66) @t29))))
80.90/81.16	(assume @p290 (forall @t21 (=> (and @t263 @t277) @t278)))
80.90/81.16	(assume @p291 (forall @t37 (=> (and @t123 @t58) (< @t518 @t41))))
80.90/81.16	(assume @p292 (forall @t37 (= (|tptp.'fun_app$b'| @t70 |tptp.'zero$'|) @t131)))
80.90/81.16	(assume @p293 (forall @t32 (= (and @t123 @t408) (< @t78 @t532))))
80.90/81.16	(assume @p294 (forall @t32 (=> (and @t65 @t168) @t128)))
80.90/81.16	(assume @p295 (forall @t32 (=> @t39 (= @t572 @t224))))
80.90/81.16	(assume @p296 (forall @t5 (=> @t573 @t163)))
80.90/81.16	(assume @p297 (forall @t5 (= (|tptp.'nat$'| @t38) @t2)))
80.90/81.16	(assume @p298 (forall @t21 (= @t228 (= @t101 0))))
80.90/81.16	(assume @p299 (forall @t25 (=> @t45 (= (|tptp.'fun_app$'| @t254 @t7) 1))))
80.90/81.16	(assume @p300 (forall @t16 (= (= @t10 @t316) (or @t388 @t574))))
80.90/81.16	(assume @p301 (forall @t187 (=> (and @t233 @t575) @t20)))
80.90/81.16	(assume @p302 (forall @t37 (=> @t39 (= (|tptp.'fun_app$'| @t396 @t38) @t41))))
80.90/81.16	(assume @p303 (forall @t32 (=> (and @t168 (= @t518 (|tptp.'fun_app$'| (|tptp.'divide$'| @t53) @t38)) @t221) @t162)))
80.90/81.16	(assume @p304 (=> @t331 (< 1 @t143)))
80.90/81.16	(assume @p305 (forall @t32 (=> @t168 (= (|tptp.'fun_app$d'| @t118 @t127) (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t488) @t2)))))
80.90/81.16	(assume @p306 @t600)
80.90/81.16	(assume @p307 (forall @t21 (|tptp.'fun_app$c'| @t17 @t10)))
80.90/81.16	(assume @p308 (forall @t5 (=> @t122 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t220) |tptp.'one$'|))))
80.90/81.16	(assume @p309 (forall @t328 (=> @t39 (and (=> @t288 (= (|tptp.'times$'| (|tptp.'fun_app$f'| @t183 @t283) @t9) @t326)) (=> @t287 (= (|tptp.'times$'| (|tptp.'fun_app$f'| @t183 @t1) @t9) @t326))))))
80.90/81.16	(assume @p310 (forall @t481 (=> (and @t480 (forall @t460 (=> (and (not (and @t458 @t457 @t436 (or @t606 @t456))) @t459) false)) (forall @t479 (=> (and @t463 (not (and @t465 @t602 @t458))) false))) false)))
80.90/81.16	(assume @p311 (forall @t5 (= @t420 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t1 @t138) @t2))))
80.90/81.16	(assume @p312 (forall @t196 (=> @t233 (= @t130 @t530))))
80.90/81.16	(assume @p313 (forall @t32 (=> @t533 @t607)))
80.90/81.16	(assume @p314 (forall @t5 (= @t193 @t39)))
80.90/81.16	(assume @p315 (forall @t37 (= (< 0 @t78) (and @t39 @t123))))
80.90/81.16	(assume @p316 (forall @t5 (= @t163 @t573)))
80.90/81.16	(assume @p317 (forall @t21 (=> (and @t237 @t278) @t523)))
80.90/81.16	(assume @p318 (forall @t21 (=> @t20 @t608)))
80.90/81.16	(assume @p319 (forall @t21 (= @t277 (or @t279 (and @t320 @t237)))))
80.90/81.16	(assume @p320 (forall @t21 (=> (and @t45 @t19) (= (|tptp.'fun_app$'| @t254 @t10) @t609))))
80.90/81.16	(assume @p321 (forall @t37 (= (and (=> @t201 @t610) (=> @t203 (< 0 @t202))) @t166)))
80.90/81.16	(assume @p322 (forall @t37 (=> @t613 (|tptp.'fun_app$b'| (|tptp.'less$'| @t611) @t62))))
80.90/81.16	(assume @p323 (forall @t25 (=> @t18 (= (|tptp.'fun_app$'| @t551 @t552) @t7))))
80.90/81.16	(assume @p324 (forall @t16 (=> (and @t521 @t74) (< @t316 @t48))))
80.90/81.16	(assume @p325 (forall @t615 (= (|tptp.'member$b'| @t7 (|tptp.'collect$'| @t614)) (|tptp.'fun_app$c'| @t614 @t7))))
80.90/81.16	(assume @p326 (forall @t16 (=> @t263 (= (< @t49 @t48) @t262))))
80.90/81.16	(assume @p327 (forall @t37 (=> (and @t122 (forall @t213 (=> (and @t65 (not (= @t29 |tptp.'zero$'|)) @t616 (= @t127 @t31) (= @t189 |tptp.'one$'|) (= (|tptp.'fun_app$d'| @t219 @t29) @t2) (= @t220 @t29)) false))) false)))
80.90/81.16	(assume @p328 (forall @t56 (=> (and @t300 @t173) @t83)))
80.90/81.16	(assume @p329 (forall @t16 (=> (and @t14 @t116 (= @t617 @t312)) @t574)))
80.90/81.16	(assume @p330 (forall @t32 (=> @t613 (= @t619 @t404))))
80.90/81.16	(assume @p331 (forall @t37 (=> @t39 (= (|tptp.'fun_app$'| (|tptp.'divide$'| @t620) @t38) @t41))))
80.90/81.16	(assume @p332 (forall @t5 (= (* 0 @t38) 0)))
80.90/81.16	(assume @p333 (forall @t21 (|tptp.'fun_app$c'| @t429 @t9)))
80.90/81.16	(assume @p334 (forall @t196 (=> @t173 (< @t52 @t489))))
80.90/81.16	(assume @p335 @t621)
80.90/81.16	(assume @p336 (forall @t37 (= (|tptp.'fun_app$b'| |tptp.'prime$a'| @t62) (and @t44 @t40))))
80.90/81.16	(assume @p337 (forall @t32 (=> @t622 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t133 @t138) @t26))))
80.90/81.16	(assume @p338 (|tptp.'fun_app$e'| |tptp.'valid_cert$'| |tptp.'c$'|))
80.90/81.16	(assume @p339 (forall @t37 (=> (and @t201 @t39) @t623)))
80.90/81.16	(assume @p340 (forall @t32 (=> @t303 @t224)))
80.90/81.16	(assume @p341 (forall @t16 (=> @t233 (= (or @t380 @t20) @t99))))
80.90/81.16	(assume @p342 (forall @t21 (= (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t7 0) @t9) @t116)))
80.90/81.16	(assume @p343 (forall @t16 (=> @t18 (= @t495 @t496))))
80.90/81.16	(assume @p344 (forall @t37 (=> (and (forall @t213 (=> (and @t394 @t65) false)) @t122) false)))
80.90/81.16	(assume @p345 (forall @t32 (=> @t222 (= (|tptp.'fun_app$b'| @t512 @t265) @t224))))
80.90/81.16	(assume @p346 (forall @t32 @t626))
80.90/81.16	(assume @p347 (forall @t32 (=> (and @t58 @t44) (|tptp.'fun_app$b'| (|tptp.'pratt_triple$'| @t2 @t29) @t26))))
80.90/81.16	(assume @p348 (forall @t21 (= (exists @t47 @t46) @t20)))
80.90/81.16	(assume @p349 (forall @t32 (=> @t630 @t627)))
80.90/81.16	(assume @p350 (forall @t16 (=> @t233 (= @t99 @t555))))
80.90/81.16	(assume @p351 (forall @t16 (=> @t566 @t631)))
80.90/81.16	(assume @p352 (forall @t187 (=> (and @t575 @t233) @t20)))
80.90/81.16	(assume @p353 (forall (@list @t22 @t632 @t633) (= (|tptp.'fun_app$h'| (|tptp.'minus$b'| (|tptp.'fun_app$h'| @t23 @t632)) @t633) (|tptp.'fun_app$h'| (|tptp.'minus$b'| (|tptp.'fun_app$h'| @t23 @t633)) @t632))))
80.90/81.16	(assume @p354 (forall @t25 (=> @t18 (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t552) 1))))
80.90/81.16	(assume @p355 (forall @t16 (=> @t18 (= @t565 @t14))))
80.90/81.16	(assume @p356 (forall @t25 (=> (and @t634 (forall (@list @t9 @t29 @t87) (=> (and @t116 @t132 (= @t7 (|tptp.'times$'| @t184 @t87)) (not @t387) @t115) false)) @t45) false)))
80.90/81.16	(assume @p357 (forall @t16 (= (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t101 0) @t6) @t91)))
80.90/81.16	(assume @p358 (forall @t16 (=> @t74 (< @t160 @t269))))
80.90/81.16	(assume @p359 (forall @t37 (=> (|tptp.'fun_app$b'| |tptp.'prime$a'| @t570) (or @t44 @t420))))
80.90/81.16	(assume @p360 (forall @t21 (=> @t522 (< @t49 0))))
80.90/81.16	(assume @p361 (forall @t249 (=> (and (|tptp.'fun_app$b'| (|tptp.'cong$'| @t66 @t175) @t29) @t71) (|tptp.'fun_app$b'| (|tptp.'cong$'| @t635 (|tptp.'fun_app$d'| @t30 @t175)) @t29))))
80.90/81.16	(assume @p362 (forall @t32 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| @t34) @t29) @t190)))
80.90/81.16	(assume @p363 (forall @t5 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| |tptp.'one$'|) @t2) @t2)))
80.90/81.16	(assume @p364 (forall @t5 (=> @t65 (= (|tptp.'fun_app$d'| @t125 @t2) |tptp.'one$'|))))
80.90/81.16	(assume @p365 (forall @t21 (=> (and @t173 @t399) (< 1 @t10))))
80.90/81.16	(assume @p366 (forall @t32 (= (|tptp.'fun_app$'| @t42 @t54) (|tptp.'fun_app$'| (|tptp.'divide$'| @t43) @t53))))
80.90/81.16	(assume @p367 (forall @t37 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| @t62) @t2) @t611)))
80.90/81.16	(assume @p368 (forall @t32 (=> (and (|tptp.'fun_app$b'| @t35 @t29) @t201) (|tptp.'fun_app$b'| (|tptp.'less$'| @t636) @t181))))
80.90/81.16	(assume @p369 (forall @t5 (exists @t60 (and @t201 @t135))))
80.90/81.16	(assume @p370 (forall @t32 (=> (< @t38 @t54) (< @t637 @t41))))
80.90/81.16	(assume @p371 (forall @t5 (=> (not @t420) @t275)))
80.90/81.16	(assume @p372 (= (|tptp.'prime_factorization$a'| 0) |tptp.'zero$a'|))
80.90/81.16	(assume @p373 (forall @t16 (=> @t18 (= @t14 @t188))))
80.90/81.16	(assume @p374 (forall @t32 (=> (and @t628 @t629) @t627)))
80.90/81.16	(assume @p375 (forall @t5 (= (|tptp.'fun_app$d'| (|tptp.'times$a'| |tptp.'zero$'|) @t2) |tptp.'zero$'|)))
80.90/81.16	(assume @p376 (forall @t481 (= @t112 (exists @t640 @t639))))
80.90/81.16	(assume @p377 (forall @t37 (=> @t402 (|tptp.'fun_app$b'| @t401 @t62))))
80.90/81.16	(assume @p378 (forall @t37 (=> (and @t168 @t273) @t122)))
80.90/81.16	(assume @p379 (forall @t37 (=> @t168 (= @t485 @t641))))
80.90/81.16	(assume @p380 (forall @t37 (=> @t643 @t642)))
80.90/81.16	(assume @p381 (forall @t37 (=> (and @t40 (not @t44) @t166) @t623)))
80.90/81.16	(assume @p382 (forall @t25 (and (=> (not @t645) (= @t644 0)) (=> @t645 (= @t644 @t7)))))
80.90/81.16	(assume @p383 (forall @t37 (=> @t39 (= @t44 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| (|tptp.'nat$'| @t620)) @t2)))))
80.90/81.16	(assume @p384 (forall @t16 (= (or (and @t262 @t263) (and @t236 @t237)) @t235)))
80.90/81.16	(assume @p385 (forall @t16 (=> @t45 (= @t646 @t496))))
80.90/81.16	(assume @p386 (forall @t16 (=> @t91 (= @t647 (|tptp.'fun_app$c'| @t102 @t9)))))
80.90/81.16	(assume @p387 (forall @t5 (not (and (not @t567) @t573))))
80.90/81.16	(assume @p388 (forall @t32 (=> @t630 (|tptp.'fun_app$b'| (|tptp.'less$'| @t189) @t31))))
80.90/81.16	(assume @p389 (forall @t5 (=> @t58 (< @t422 @t38))))
80.90/81.16	(assume @p390 (forall @t481 (= (|tptp.'fun_app$j'| (|tptp.'n_lists$'| @t1) @t104) @t191)))
80.90/81.16	(assume @p391 (forall @t32 (=> (and @t619 @t36) @t83)))
80.90/81.16	(assume @p392 (forall @t32 (= (= @t78 @t532) (or @t130 (= @t38 @t53)))))
80.90/81.16	(assume @p393 (forall @t494 (=> (and (< 1 @t6) @t201) (< @t492 @t493))))
80.90/81.16	(assume @p394 (forall @t5 (= (|tptp.'fun_app$d'| @t161 |tptp.'zero$'|) @t2)))
80.90/81.16	(assume @p395 (forall @t37 (=> (and @t40 @t135 @t168) @t131)))
80.90/81.16	(assume @p396 (forall @t37 (=> @t642 @t643)))
80.90/81.16	(assume @p397 (forall @t32 (= (= @t34 @t488) (or @t648 @t485))))
80.90/81.16	(assume @p398 (forall @t261 (=> (and @t260 @t257 @t256 @t233) @t258)))
80.90/81.16	(assume @p399 (forall @t5 (=> @t487 @t39)))
80.90/81.16	(assume @p400 (forall @t5 (=> @t58 (exists @t60 @t383))))
80.90/81.16	(assume @p401 (forall @t37 (=> (and @t123 @t40) (and (=> @t448 (and (=> @t288 (= @t650 (|tptp.'times$'| @t651 @t282))) (=> @t287 (= @t650 (|tptp.'times$'| @t651 0))))) (=> @t449 (and (=> @t287 (= @t650 (|tptp.'times$'| @t649 0))) (=> @t288 (= @t650 (|tptp.'times$'| @t649 @t282)))))))))
80.90/81.16	(assume @p402 (forall @t5 (<= 0 @t38)))
80.90/81.16	(assume @p403 (forall @t541 (=> (and (forall (@list @t654) (=> (= @t540 (|tptp.'cons$b'| @t2 @t654)) false)) (forall (@list @t29 @t653) (=> (and (= @t540 (|tptp.'cons$b'| @t29 @t653)) (|tptp.'member$a'| @t2 (|tptp.'set$a'| @t653))) false)) @t652) false)))
80.90/81.16	(assume @p404 (forall @t32 (=> (and @t58 (=> @t287 @t230) @t537 @t538 (=> @t288 (= @t53 @t282)) @t655) @t40)))
80.90/81.16	(assume @p405 @t658)
80.90/81.16	(assume @p406 (forall @t21 (=> @t20 (= (|tptp.'prime_factorization$a'| @t186) (|tptp.'fun_app$h'| (|tptp.'minus$b'| @t515) @t113)))))
80.90/81.16	(assume @p407 (forall @t16 (= (|tptp.'fun_app$c'| @t11 @t316) (or @t380 @t388))))
80.90/81.16	(assume @p408 @t665)
80.90/81.16	(assume @p409 (forall @t16 (=> @t18 @t631)))
80.90/81.16	(assume @p410 (forall (@list @t296 @t295 @t107) (=> @t667 (|tptp.'member$'| @t296 (|tptp.'set$'| (|tptp.'cons$'| @t107 @t295))))))
80.90/81.16	(assume @p411 (forall @t21 (= (= @t10 @t9) (or @t392 @t388))))
80.90/81.16	(assume @p412 (forall @t21 (=> @t20 (= @t388 @t668))))
80.90/81.16	(assume @p413 (forall @t214 (=> (and (|tptp.'fun_app$b'| @t204 |tptp.'zero$'|) (forall @t213 (=> @t616 @t211)) (forall @t670 (=> (and @t669 @t206) (|tptp.'fun_app$b'| @t204 (|tptp.'fun_app$d'| @t118 @t66))))) @t205)))
80.90/81.16	(assume @p414 (forall @t16 (=> @t188 (|tptp.'fun_app$c'| @t17 @t312))))
80.90/81.16	(assume @p415 (forall @t37 (=> (and @t539 (=> @t166 false) (=> @t201 false)) false)))
80.90/81.16	(assume @p416 (forall (@list @t104 @t568 @t461) (=> @t639 @t112)))
80.90/81.16	(assume @p417 (forall @t21 (= (|tptp.'fun_app$c'| @t90 0) @t228)))
80.90/81.16	(assume @p418 (forall (@list @t673 @t671) (=> (forall @t110 (= (|tptp.'fun_app$a'| @t673 @t107) (|tptp.'fun_app$a'| @t671 @t107))) (= (|tptp.'collect$b'| @t673) @t672))))
80.90/81.16	(assume @p419 (forall @t21 (=> @t242 (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t617) 1))))
80.90/81.16	(assume @p420 (forall @t21 (=> @t18 @t608)))
80.90/81.16	(assume @p421 (forall @t25 (= (|tptp.'fun_app$'| @t254 0) 0)))
80.90/81.16	(assume @p422 (not @t610))
80.90/81.16	(assume @p423 (forall (@list @t674 @t295 @t461) (=> (and (forall @t681 (|tptp.'fun_app$e'| @t680 |tptp.'nil$'|)) (forall @t681 (|tptp.'fun_app$e'| @t675 @t679)) (forall (@list @t678 @t432 @t677 @t676) (=> (|tptp.'fun_app$e'| (|tptp.'fun_app$i'| @t674 @t432) @t676) (|tptp.'fun_app$e'| @t680 (|tptp.'cons$'| @t677 @t676)))) (|tptp.'fun_app$e'| @t675 |tptp.'nil$'|)) (|tptp.'fun_app$e'| (|tptp.'fun_app$i'| @t674 @t295) @t461))))
80.90/81.16	(assume @p424 (forall @t481 (=> (and @t569 (forall @t479 (=> @t463 false)) (forall @t460 (=> @t459 false))) false)))
80.90/81.16	(assume @p425 (forall @t21 (=> @t682 (and @t45 @t389))))
80.90/81.16	(assume @p426 (forall @t5 (=> @t122 @t195)))
80.90/81.16	(assume @p427 (forall @t25 (|tptp.'fun_app$c'| (|tptp.'dvd$'| 1) @t7)))
80.90/81.16	(assume @p428 (forall @t37 (=> @t36 (|tptp.'fun_app$b'| @t35 @t611))))
80.90/81.16	(assume @p429 (forall @t72 (=> (and @t71 (|tptp.'fun_app$b'| @t544 @t29)) (|tptp.'fun_app$b'| @t70 @t66))))
80.90/81.16	(assume @p430 (forall @t187 (=> @t20 (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t171) @t184))))
80.90/81.16	(assume @p431 (forall @t16 (= @t91 (|tptp.'fun_app$c'| @t102 @t101))))
80.90/81.16	(assume @p432 (forall @t16 (=> @t18 (= @t14 (|tptp.'fun_app$c'| @t13 @t239)))))
80.90/81.16	(assume @p433 (forall @t32 (and (=> @t64 (= @t625 |tptp.'zero$'|)) @t626)))
80.90/81.16	(assume @p434 (forall @t16 (=> (and @t14 @t18) (= (|tptp.'fun_app$'| @t238 @t49) (|tptp.'fun_app$'| (|tptp.'divide$'| @t312) @t7)))))
80.90/81.16	(assume @p435 (forall @t25 (= @t529 1)))
80.90/81.16	(assume @p436 (not (= tptp.tltrue tptp.tlfalse)))
80.90/81.16	(assume @p437 (not (|tptp.'fun_app$b'| |tptp.'prime$a'| |tptp.'one$'|)))
80.90/81.16	(assume @p438 (forall (@list @t683) (= (|tptp.'collect$b'| @t684) @t683)))
80.90/81.16	(assume @p439 (forall @t37 (= (and @t273 @t122) @t272)))
80.90/81.16	(assume @p440 (forall @t249 (=> (and (|tptp.'fun_app$b'| @t685 @t66) @t458 @t362 (not (and (=> @t449 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 (|tptp.'nat$'| (|tptp.'fun_app$'| @t442 @t38))) @t138) @t26)) (=> @t448 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 @t140) @t138) @t26)))) (= @t244 @t504) @t40) (|tptp.'fun_app$b'| @t685 @t175))))
80.90/81.16	(assume @p441 (forall @t21 (|tptp.'fun_app$c'| @t90 1)))
80.90/81.16	(assume @p442 (forall @t32 (=> (and @t28 (= @t43 @t637) @t506 @t39) @t162)))
80.90/81.16	(assume @p443 (forall @t37 (=> @t252 @t39)))
80.90/81.16	(assume @p444 (forall @t92 (=> (and @t543 @t74) (< @t686 @t269))))
80.90/81.16	(assume @p445 (forall @t32 (=> @t274 @t302)))
80.90/81.16	(assume @p446 (forall @t32 (= @t572 (or @t163 @t224))))
80.90/81.16	(assume @p447 (forall (@list @t2 @t540 @t29) (=> @t652 (|tptp.'member$a'| @t2 (|tptp.'set$a'| (|tptp.'cons$b'| @t29 @t540))))))
80.90/81.16	(assume @p448 (forall @t5 (= (|tptp.'of_nat$'| (|tptp.'size_pratt$'| @t323)) 0)))
80.90/81.16	(assume @p449 (forall @t21 (= @t688 @t687)))
80.90/81.16	(assume @p450 (forall (@list @t296 @t671) (= (|tptp.'member$'| @t296 @t672) (|tptp.'fun_app$a'| @t671 @t296))))
80.90/81.16	(assume @p451 (forall @t25 (= (- @t7 @t7) 0)))
80.90/81.16	(assume @p452 (forall @t21 (=> @t18 (= @t668 @t388))))
80.90/81.16	(assume @p453 (forall @t691 (=> (and @t65 (exists @t213 (and (|tptp.'member$a'| @t29 @t382) @t690)) (forall @t507 (=> (and (= @t2 (|tptp.'fun_app$d'| (|tptp.'times$a'| (|tptp.'fun_app$d'| @t180 @t66)) @t175)) @t457 (not (|tptp.'fun_app$b'| @t333 @t175)) @t506 @t669 @t690) false))) false)))
80.90/81.16	(assume @p454 (forall @t32 (=> @t303 @t221)))
80.90/81.16	(assume @p455 (forall @t37 @t692))
80.90/81.16	(assume @p456 (forall @t32 (=> @t65 (= @t117 @t121))))
80.90/81.16	(assume @p457 (forall @t56 (=> (and @t172 @t233) @t162)))
80.90/81.16	(assume @p458 (forall (@list @t683 @t568) (= (|tptp.'fun_app$a'| @t684 @t568) (|tptp.'member$'| @t568 @t683))))
80.90/81.16	(assume @p459 (forall @t5 (|tptp.'fun_app$b'| @t3 @t2)))
80.90/81.16	(assume @p460 (forall @t32 (=> (and @t224 @t28 (= @t391 @t419)) @t648)))
80.90/81.16	(assume @p461 (forall (@list @t204 @t689) (=> (forall @t213 (= @t211 @t690)) (= (|tptp.'collect$a'| @t204) @t693))))
80.90/81.16	(assume @p462 (forall @t32 (= (|tptp.'fun_app$d'| (|tptp.'power$'| @t34) @t29) @t428)))
80.90/81.16	(assume @p463 (forall @t72 (=> (and @t40 @t135 @t134 @t132 @t457) @t131)))
80.90/81.16	(assume @p464 (forall @t25 (= (|tptp.'fun_app$f'| @t51 @t138) @t7)))
80.90/81.16	(assume @p465 (forall @t481 (=> (and @t694 @t569) false)))
80.90/81.16	(assume @p466 (forall @t5 (= (|tptp.'fun_app$f'| (|tptp.'power$a'| 1) @t2) 1)))
80.90/81.16	(assume @p467 (forall @t72 (=> (and @t65 @t695 @t221 @t486) (= (= @t488 @t635) (= @t265 (|tptp.'fun_app$d'| @t520 @t26))))))
80.90/81.16	(assume @p468 (forall @t25 (=> (and @t634 @t45) (exists @t696 (and @t116 @t115)))))
80.90/81.16	(assume @p469 (forall @t5 (=> @t39 @t198)))
80.90/81.16	(assume @p470 (forall @t5 (=> (and @t423 @t39 @t425) @t40)))
80.90/81.16	(assume @p471 (forall @t32 (=> @t39 (= @t224 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t285) @t636)))))
80.90/81.16	(assume @p472 (forall @t268 (= (|tptp.'fun_app$g'| (|tptp.'minus$a'| |tptp.'zero$b'|) @t266) |tptp.'zero$b'|)))
80.90/81.16	(assume @p473 (forall @t196 (=> @t233 (= @t130 (= 1 @t52)))))
80.90/81.16	(assume @p474 (forall @t16 (=> @t74 (< @t550 (- @t6 @t7)))))
80.90/81.16	(assume @p475 (forall @t37 (=> (and @t39 @t28) @t123)))
80.90/81.16	(assume @p476 (forall @t72 (=> (and @t135 @t134 @t132 @t457 @t40) @t227)))
80.90/81.16	(assume @p477 (forall @t37 (=> (and @t534 @t535) @t402)))
80.90/81.16	(assume @p478 (forall @t37 (= (and @t420 @t44) (= 1 @t78))))
80.90/81.16	(assume @p479 (forall @t16 (=> @t91 (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t9 @t7) @t6))))
80.90/81.16	(assume @p480 (forall @t21 (=> (and @t389 @t45) @t682)))
80.90/81.16	(assume @p481 (forall (@list @t697) (or (= @t697 tptp.tltrue) (= @t697 tptp.tlfalse))))
80.90/81.16	(assume @p482 (forall @t32 (= (|tptp.'fun_app$d'| @t33 (|tptp.'fun_app$d'| (|tptp.'minus$'| @t26) @t29)) (|tptp.'fun_app$d'| (|tptp.'minus$'| @t34) @t189))))
80.90/81.16	(assume @p483 (forall @t16 (=> @t18 (= @t496 @t646))))
80.90/81.16	(assume @p484 (forall @t481 (=> (and @t569 (=> @t112 false)) false)))
80.90/81.16	(assume @p485 (forall @t16 (= @t528 (|tptp.'times$'| @t9 @t8))))
80.90/81.16	(assume @p486 (forall @t25 (=> @t18 @t698)))
80.90/81.16	(assume @p487 (forall @t16 @t218))
80.90/81.16	(assume @p488 (forall @t5 (=> @t122 @t405)))
80.90/81.16	(assume @p489 (forall @t72 (not (= @t323 @t433))))
80.90/81.16	(assume @p490 (forall @t5 (= @t193 (and @t4 @t193))))
80.90/81.16	(assume @p491 (forall @t691 (= (|tptp.'member$a'| @t2 @t693) (|tptp.'fun_app$b'| @t689 @t2))))
80.90/81.16	(assume @p492 (forall (@list @t305) (= (|tptp.'collect$a'| @t306) @t305)))
80.90/81.16	(assume @p493 (forall @t37 (=> (or (= @t26 |tptp.'one$'|) @t39) (|tptp.'fun_app$b'| @t27 @t285))))
80.90/81.16	(assume @p494 (forall @t5 (=> (and @t170 (forall @t557 (=> (and @t135 (not @t695) (= @t2 (|tptp.'fun_app$d'| (|tptp.'times$a'| @t426) @t66)) @t132 @t28) false)) @t65) false)))
80.90/81.16	(assume @p495 (forall @t481 (=> (and (=> (and @t111 @t559) false) (forall @t460 (=> (and @t459 (or @t456 (exists @t455 (and @t453 @t604 @t439 @t454))) @t436 @t457 @t458 @t435) false)) (forall @t479 (=> (and @t463 @t458 @t465 (exists @t209 (and @t476 @t478 @t472 @t467)) @t464) false)) @t431 @t340) false)))
80.90/81.16	(assume @p496 (forall @t32 (=> @t36 (= @t162 @t390))))
80.90/81.16	(assume @p497 (forall @t5 (= @t527 |tptp.'one$'|)))
80.90/81.16	(assume @p498 (forall @t234 (=> (and @t115 @t457 @t132 @t232 @t233) @t228)))
80.90/81.16	(assume @p499 (forall @t25 (= @t15 @t560)))
80.90/81.16	(assume @p500 (forall @t32 (=> (and @t39 @t572) @t224)))
80.90/81.16	(assume @p501 (= (|tptp.'prime_factorization$'| |tptp.'one$'|) |tptp.'zero$b'|))
80.90/81.16	(assume @p502 (forall @t25 (= (- @t7 0) @t7)))
80.90/81.16	(assume @p503 (forall @t32 (=> @t168 @t385)))
80.90/81.16	(assume @p504 (forall @t37 (=> @t65 (= (|tptp.'fun_app$d'| @t624 @t2) @t26))))
80.90/81.16	(assume @p505 (forall @t196 (= (and @t123 @t15) @t699)))
80.90/81.16	(assume @p506 (forall @t37 (= (|tptp.'fun_app$b'| (|tptp.'cong$'| @t2 |tptp.'zero$'|) @t26) @t28)))
80.90/81.16	(assume @p507 (forall @t37 (=> @t122 (= @t641 @t485))))
80.90/81.16	(assume @p508 (forall @t5 (= @t553 @t64)))
80.90/81.16	(assume @p509 (forall @t234 (=> (and @t232 @t132 @t457 @t115 @t233) @t227)))
80.90/81.16	(assume @p510 (forall @t32 (=> @t385 (exists @t546 @t545))))
80.90/81.16	(assume @p511 (forall @t37 (=> (and @t534 @t402) @t535)))
80.90/81.16	(assume @p512 (forall @t25 (|tptp.'fun_app$c'| @t17 0)))
80.90/81.16	(assume @p513 (forall @t196 (=> @t700 (< @t489 @t52))))
80.90/81.16	(assume @p514 (forall @t37 (=> (and @t534 (|tptp.'fun_app$b'| @t612 |tptp.'zero$'|)) @t400)))
80.90/81.16	(assume @p515 (forall @t25 (= @t698 (or @t15 @t18))))
80.90/81.16	(assume @p516 (forall @t32 (=> @t122 (= @t224 @t513))))
80.90/81.16	(assume @p517 (forall @t271 (=> (and @t270 @t91) (|tptp.'fun_app$c'| (|tptp.'cong$a'| @t686 (- @t9 @t93)) @t6))))
80.90/81.16	(assume @p518 (forall @t32 (=> (and @t201 @t408) (and (=> @t404 (and (=> @t704 (< 0 @t703)) (=> @t702 @t610))) (=> (not @t404) (and (=> @t704 (< @t701 @t703)) (=> @t702 (< @t701 0))))))))
80.90/81.16	(assume @p519 (forall @t16 (=> @t18 (= @t564 @t14))))
80.90/81.16	(assume @p520 (forall @t37 (= @t168 (exists @t213 @t394))))
80.90/81.16	(assume @p521 (forall @t481 (=> (and @t569 @t694) false)))
80.90/81.16	(assume @p522 (forall @t21 (= @t517 (and @t233 @t20 @t389))))
80.90/81.16	(assume @p523 (forall (@list @t2 @t9 @t6) (=> @t39 (= (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t326) @t492) @t14))))
80.90/81.16	(assume @p524 (forall @t249 (=> (and @t40 @t248 @t524 @t243) @t258)))
80.90/81.16	(assume @p525 (forall @t16 (= (or @t15 @t496) @t548)))
80.90/81.16	(assume @p526 (forall @t37 (=> @t36 (|tptp.'fun_app$b'| @t618 @t611))))
80.90/81.16	(assume @p527 (forall @t196 (=> @t173 (< 1 @t489))))
80.90/81.16	(assume @p528 (forall @t16 (=> (and @t20 @t380) (= (|tptp.'fun_app$c'| @t563 @t239) @t14))))
80.90/81.16	(assume @p529 (forall @t37 (=> (and @t201 @t168) (< 1 @t518))))
80.90/81.16	(assume @p530 (forall @t32 (=> @t692 (= (|tptp.'fun_app$d'| @t427 @t26) @t247))))
80.90/81.16	(assume @p531 (= true (|tptp.'fun_app$e'| |tptp.'valid_cert$'| |tptp.'nil$'|)))
80.90/81.16	(assume @p532 (forall @t72 (=> @t71 (|tptp.'fun_app$b'| (|tptp.'cong$'| @t635 @t332) @t29))))
80.90/81.16	(assume @p533 (forall @t5 @t542))
80.90/81.16	(assume @p534 (forall @t37 (=> @t168 (= (|tptp.'prime_factorization$'| @t127) (|tptp.'fun_app$g'| (|tptp.'minus$a'| @t250) @t194)))))
80.90/81.16	(assume @p535 (forall @t21 (= (or @t15 @t327) (= @t10 @t7))))
80.90/81.16	(assume @p536 (forall @t16 (=> @t20 @t325)))
80.90/81.16	(assume @p537 (forall @t5 (and (=> @t193 @t562) (=> @t163 (= @t561 1)))))
80.90/81.16	(assume @p538 (forall @t37 (=> @t122 @t168)))
80.90/81.16	(assume @p539 (forall @t32 (=> @t168 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t133) @t426))))
80.90/81.16	(assume @p540 (forall (@list @t2 @t295) (= (|tptp.'fun_app$e'| |tptp.'valid_cert$'| (|tptp.'cons$'| @t323 @t295)) (and (exists @t213 (and (=> @t288 (|tptp.'member$'| (|tptp.'triple$'| @t2 @t29 @t283) @t666)) (=> @t287 (|tptp.'member$'| (|tptp.'triple$'| @t2 @t29 @t1) @t666)) (=> @t288 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 @t283) @t138) @t2)) (=> @t287 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t180 @t1) @t138) @t2)))) (|tptp.'fun_app$e'| |tptp.'valid_cert$'| @t295) @t58))))
80.90/81.16	(assume @p541 (forall @t196 (=> @t45 (not @t699))))
80.90/81.16	(assume @p542 (forall @t37 (=> (= @t38 @t78) (or @t163 @t44))))
80.90/81.16	(assume @p543 (forall @t16 (=> @t18 (= @t14 (|tptp.'fun_app$c'| @t13 @t8)))))
80.90/81.16	(assume @p544 (forall @t37 (= @t705 (or @t130 @t201))))
80.90/81.16	(assume @p545 (= (|tptp.'prime_factorization$a'| 1) |tptp.'zero$a'|))
80.90/81.16	(assume @p546 (forall @t5 (= (|tptp.'fun_app$d'| @t125 |tptp.'zero$'|) |tptp.'zero$'|)))
80.90/81.16	(assume @p547 (forall @t32 (=> @t122 (= @t224 (|tptp.'fun_app$b'| @t304 @t29)))))
80.90/81.16	(assume @p548 (forall @t21 (=> @t688 @t687)))
80.90/81.16	(assume @p549 (forall @t615 (=> (and @t45 (exists @t47 (and (|tptp.'member$b'| @t6 @t114) @t706)) (forall (@list @t6 @t66 @t93) (=> (and @t310 (not (|tptp.'fun_app$c'| @t102 @t93)) (= @t7 (|tptp.'times$'| (|tptp.'fun_app$f'| @t491 @t66) @t93)) @t457 @t647 @t706) false))) false)))
80.90/81.16	(assume @p550 (forall @t187 (= (|tptp.'fun_app$f'| (|tptp.'power$a'| @t10) @t29) @t318)))
80.90/81.16	(assume @p551 (forall @t72 (=> (|tptp.'fun_app$b'| @t70 (|tptp.'nat$'| (|tptp.'times$'| @t53 @t207))) @t71)))
80.90/81.16	(assume @p552 (forall @t16 (=> @t381 @t549)))
80.90/81.16	(assume @p553 (forall @t37 (=> @t168 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| @t421) @t280))))
80.90/81.16	(assume @p554 (forall @t37 (=> @t39 (= @t44 (|tptp.'fun_app$b'| @t571 @t2)))))
80.90/81.16	(assume @p555 (forall @t21 (=> @t18 @t20)))
80.90/81.16	(assume @p556 (forall @t5 (= (|tptp.'fun_app$d'| @t33 |tptp.'zero$'|) |tptp.'zero$'|)))
80.90/81.16	(assume @p557 (forall @t268 (= (|tptp.'fun_app$g'| @t267 @t266) |tptp.'zero$b'|)))
80.90/81.16	(assume @p558 (forall @t32 (=> @t36 (= @t619 @t83))))
80.90/81.16	(assume @p559 (forall @t32 (=> (and @t201 @t629 (|tptp.'fun_app$b'| (|tptp.'less$'| @t29) |tptp.'one$'|)) (|tptp.'fun_app$b'| (|tptp.'less$'| @t181) @t636))))
80.90/81.16	(assume @p560 (forall @t32 (and (=> @t201 (and (=> @t709 (= @t710 @t707)) (=> @t607 (= @t710 0)))) (=> @t203 (and (=> @t607 (= @t708 0)) (=> @t709 (= @t708 @t707)))))))
80.90/81.16	(assume @p561 (forall @t21 (=> @t45 (= (|tptp.'fun_app$'| @t216 @t7) @t9))))
80.90/81.16	(assume @p562 (forall @t32 (=> (and @t224 @t168) (= (|tptp.'fun_app$d'| @t301 @t127) @t419))))
80.90/81.16	(assume @p563 (forall @t5 (= @t287 @t163)))
80.90/81.16	(assume @p564 (forall @t187 (=> @t554 (= (|tptp.'times$'| @t171 @t9) @t259))))
80.90/81.16	(assume @p565 (forall @t21 (= (= @t7 @t10) @t386)))
80.90/81.16	(assume @p566 @t717)
80.90/81.16	(assume @p567 (forall @t32 (=> @t39 (= @t83 @t81))))
80.90/81.16	(assume @p568 (forall (@list @t296 @t568 @t461) (=> (|tptp.'member$'| @t296 (|tptp.'set$'| @t638)) (or (= @t296 @t568) (|tptp.'member$'| @t296 @t473)))))
80.90/81.16	(assume @p569 (forall @t37 (=> @t255 (exists @t670 (and (= @t41 (|tptp.'times$'| @t207 @t338)) @t524)))))
80.90/81.16	(assume @p570 (forall @t32 (=> @t122 (= @t393 @t117))))
80.90/81.16	(assume @p571 (forall @t25 (=> (and @t634 (forall @t696 (=> (and @t115 @t116) false)) @t45) false)))
80.90/81.16	(assume @p572 (forall @t37 (=> @t201 @t182)))
80.90/81.16	(assume @p573 (forall @t37 (= @t63 (and @t123 @t64))))
80.90/81.16	(assume @p574 (forall @t32 (= @t81 (and @t39 @t83))))
80.90/81.16	(assume @p575 (forall @t298 (=> (and @t667 (forall @t109 (=> (and (= @t295 @t108) (|tptp.'member$'| @t296 @t367)) false)) (forall (@list @t461) (=> (= @t295 (|tptp.'cons$'| @t296 @t461)) false))) false)))
80.90/81.16	(assume @p576 (forall @t37 (= @t539 (or @t166 @t201))))
80.90/81.16	(assume @p577 (forall @t32 (= (and @t132 (forall @t209 (=> (|tptp.'member$a'| @t66 (|tptp.'set_mset$'| (|tptp.'prime_factorization$'| @t29))) (not (and (=> @t287 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 (|tptp.'nat$'| (|tptp.'fun_app$'| @t139 @t207))) @t138) @t2)) (=> @t288 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t67 (|tptp.'nat$'| (|tptp.'fun_app$'| @t482 @t207))) @t138) @t2))))))) @t655)))
80.90/81.16	(assume @p578 (forall @t16 (=> @t188 @t380)))
80.90/81.16	(assume @p579 (forall @t16 (=> @t18 (= (|tptp.'times$'| @t9 @t239) @t324))))
80.90/81.16	(assume @p580 (forall @t21 (=> @t525 (or @t388 @t15))))
80.90/81.16	(assume @p581 (forall @t25 (= (* @t7 0) 0)))
80.90/81.16	(assume @p582 (forall @t16 (=> @t45 (= @t12 @t14))))
80.90/81.16	(assume @p583 (forall @t37 (=> @t122 (= (|tptp.'fun_app$d'| @t30 @t220) @t127))))
80.90/81.16	(assume @p584 (forall @t5 (|tptp.'fun_app$b'| (|tptp.'dvd$a'| |tptp.'one$'|) @t2)))
80.90/81.16	(assume @p585 (forall @t32 (=> @t71 @t253)))
80.90/81.16	(assume @p586 (forall @t37 (=> @t622 (and (=> @t287 (|tptp.'fun_app$b'| @t27 @t1)) (=> @t288 (|tptp.'fun_app$b'| @t27 @t283))))))
80.90/81.16	(assume @p587 (not (|tptp.'fun_app$b'| |tptp.'prime$a'| |tptp.'zero$'|)))
80.90/81.16	(assume @p588 (forall @t16 (=> @t20 (|tptp.'fun_app$c'| @t17 @t316))))
80.90/81.16	(assume @p589 (forall @t32 (=> @t39 @t398)))
80.90/81.16	(assume @p590 (forall @t328 (=> @t39 (= (|tptp.'set_mset$a'| (|tptp.'prime_factorization$a'| @t326)) @t516))))
80.90/81.16	(assume @p591 (forall (@list @t719) (=> (and (=> (= @t719 |tptp.'nil$a'|) false) (forall (@list @t568 @t461 @t720) (=> (= @t719 (|tptp.'cons$a'| @t638 @t720)) false)) (forall (@list @t718) (=> (= @t719 (|tptp.'cons$a'| |tptp.'nil$'| @t718)) false))) false)))
80.90/81.16	(assume @p592 (forall (@list @t2 @t26 @t654) (=> (|tptp.'member$a'| @t2 (|tptp.'set$a'| (|tptp.'cons$b'| @t26 @t654))) (or @t131 (|tptp.'member$a'| @t2 (|tptp.'set$a'| @t654))))))
80.90/81.16	(assume @p593 (=> (and @t159 @t157) @t661))
80.90/81.16	(assume @p594 (forall @t37 (= (or @t163 @t130) (= @t78 0))))
80.90/81.16	(assume @p595 (forall @t72 (=> @t71 (|tptp.'fun_app$b'| (|tptp.'cong$'| (|tptp.'fun_app$d'| @t246 @t2) (|tptp.'fun_app$d'| @t246 @t26)) @t29))))
80.90/81.16	(assume @p596 (forall @t5 (= (not @t402) @t64)))
80.90/81.16	(assume @p597 (forall @t32 (=> @t168 @t490)))
80.90/81.16	(assume @p598 (forall @t56 (=> @t700 (= @t300 @t404))))
80.90/81.16	(assume @p599 (forall (@list @t266 @t721 @t722) (= (|tptp.'fun_app$g'| (|tptp.'minus$a'| (|tptp.'fun_app$g'| @t267 @t721)) @t722) (|tptp.'fun_app$g'| (|tptp.'minus$a'| (|tptp.'fun_app$g'| @t267 @t722)) @t721))))
80.90/81.16	(assume @p600 (forall @t32 (=> @t122 (= (= @t26 @t265) (= @t120 @t29)))))
80.90/81.16	(assume @p601 (forall @t16 (=> @t45 (= (|tptp.'fun_app$'| @t531 @t48) @t215))))
80.90/81.16	(assume @p602 (forall @t37 (=> (and @t168 @t28) @t199)))
80.90/81.16	(assume @p603 (forall @t16 (=> @t566 (= (|tptp.'fun_app$c'| (|tptp.'dvd$'| @t48) @t9) (|tptp.'fun_app$c'| @t102 @t186)))))
80.90/81.16	(assume @p604 (forall @t32 (=> @t168 (= (|tptp.'fun_app$d'| (|tptp.'power$'| @t127) @t29) (|tptp.'fun_app$d'| (|tptp.'divide$a'| @t426) @t133)))))
80.90/81.16	(assume @p605 (forall @t21 (=> (and @t19 @t45) (= (|tptp.'fun_app$'| @t254 @t49) @t609))))
80.90/81.16	(assume @p606 (forall @t37 (|tptp.'fun_app$b'| @t315 @t2)))
80.90/81.16	(assume @p607 (forall @t25 (|tptp.'fun_app$c'| @t17 @t7)))
80.90/81.16	(assume @p608 (forall @t5 (=> @t290 false)))
80.90/81.16	(assume @p609 (forall (@list @t2 @t26 @t29 @t66 @t175 @t438) (= (= @t57 (|tptp.'triple$'| @t66 @t175 @t438)) (and (= @t41 @t244) (= @t53 @t440) (= @t38 @t207)))))
80.90/81.16	(assume @p610 (forall @t37 (=> @t201 @t705)))
80.90/81.16	(assume @p611 (forall @t5 (= false @t290)))
80.90/81.16	(assume @p612 true)
80.90/81.16	(step @p613 :rule cnf_implies_neg1 :args (@t660))
80.90/81.16	(step @p614 :rule reordering :premises (@p613) :args ((or @t659 @t660)))
80.90/81.16	(step @p615 :rule cnf_implies_neg2 :args (@t660))
80.90/81.16	(step @p616 :rule bool-double-not-elim :args (@t745))
80.90/81.16	(step @p617 :rule refl :args (@t757))
80.90/81.16	(step @p618 :rule nary_cong :premises (@p617 @p616) :args ((or @t757 (not @t756))))
80.90/81.16	(step @p619 :rule cnf_or_neg :args (@t757 0))
80.90/81.16	(step @p620 :rule eq_resolve :premises (@p619 @p618))
80.90/81.16	(step @p621 :rule reordering :premises (@p620) :args ((or @t745 @t757)))
80.90/81.16	(step @p622 :rule bool-double-not-elim :args (@t746))
80.90/81.16	(step @p623 :rule nary_cong :premises (@p617 @p622) :args ((or @t757 (not @t747))))
80.90/81.16	(step @p624 :rule cnf_or_neg :args (@t757 4))
80.90/81.16	(step @p625 :rule eq_resolve :premises (@p624 @p623))
80.90/81.16	(step @p626 :rule reordering :premises (@p625) :args ((or @t746 @t757)))
80.90/81.16	(step @p627 :rule eq-symm :args (@t295 @t106))
80.90/81.16	(step @p628 :rule eq-symm :args (@t296 @t107))
80.90/81.16	(step @p629 :rule nary_cong :premises (@p628 @p627) :args (@t656))
80.90/81.16	(step @p630 :rule eq-symm :args (@t297 @t108))
80.90/81.16	(step @p631 :rule cong :premises (@p630 @p629) :args (@t657))
80.90/81.16	(step @p632 :rule cong :premises (@p631) :args (@t658))
80.90/81.16	(step @p633 :rule eq_resolve :premises (@p405 @p632))
80.90/81.16	(step @p634 :rule instantiate :premises (@p633) :args ((@list @t744 @t740 |tptp.'y$'| |tptp.'ys$'|)))
80.90/81.16	(step @p635 :rule cnf_equiv_pos1 :args (@t760))
80.90/81.16	(step @p636 :rule reordering :premises (@p635) :args ((or @t756 @t759 (not @t760))))
80.90/81.16	(step @p637 :rule cnf_and_pos :args (@t759 1))
80.90/81.16	(step @p638 :rule reordering :premises (@p637) :args ((or @t758 (not @t759))))
80.90/81.16	(step @p639 :rule refl :args (@t761))
80.90/81.16	(step @p640 :rule refl :args (@t747))
80.90/81.16	(step @p641 :rule bool-double-not-elim :args (@t594))
80.90/81.16	(step @p642 :rule nary_cong :premises (@p641 @p640 @p639) :args ((or @t763 @t747 @t761)))
80.90/81.16	(assume-push @p1165 @t762)
80.90/81.16	(assume-push @p1166 @t758)
80.90/81.16	(assume-push @p1167 @t746)
80.90/81.16	(step @p646 :rule evaluate :args (@t764))
80.90/81.16	(step @p647 :rule false_intro :premises (@p1165))
80.90/81.16	(step @p648 :rule symm :premises (@p1166))
80.90/81.16	(step @p649 :rule refl :args (|tptp.'valid_cert$'|))
80.90/81.16	(step @p650 :rule cong :premises (@p649 @p648) :args (@t746))
80.90/81.16	(step @p651 :rule true_intro :premises (@p1167))
80.90/81.16	(step @p652 :rule symm :premises (@p651))
80.90/81.16	(step @p653 :rule trans :premises (@p652 @p650 @p647))
80.90/81.16	(step @p654 false :rule eq_resolve :premises (@p653 @p646))
80.90/81.16	(step-pop @p1167 :rule scope :premises (@p654))
80.90/81.16	(step-pop @p1168 :rule scope :premises (@p1167))
80.90/81.16	(step-pop @p1169 :rule scope :premises (@p1168))
80.90/81.16	(step @p655 :rule process_scope :premises (@p1169) :args (false))
80.90/81.16	(assume-push @p1171 @t762)
80.90/81.16	(assume-push @p1172 @t746)
80.90/81.16	(assume-push @p1173 @t758)
80.90/81.16	(step @p662 :rule and_intro :premises (@p1171 @p1173 @p1172))
80.90/81.16	(step-pop @p1173 :rule scope :premises (@p662))
80.90/81.16	(step-pop @p1174 :rule scope :premises (@p1173))
80.90/81.16	(step-pop @p1175 :rule scope :premises (@p1174))
80.90/81.16	(step @p663 :rule process_scope :premises (@p1175) :args (@t765))
80.90/81.16	(step @p667 :rule implies_elim :premises (@p663))
80.90/81.16	(step @p668 :rule resolution :premises (@p667 @p655) :args (true @t765))
80.90/81.16	(step @p669 :rule not_and :premises (@p668))
80.90/81.16	(step @p670 :rule eq_resolve :premises (@p669 @p642))
80.90/81.16	(step @p671 :rule chain_resolution :premises (@p670 @p638 @p636 @p634 @p626 @p621) :args (@t766 (@list @t758 @t759 @t760 @t746 @t745)))
80.90/81.16	(step @p672 :rule factoring :premises (@p671))
80.90/81.16	(step @p673 :rule refl :args (@t767))
80.90/81.16	(step @p674 :rule bool-double-not-elim :args (@t739))
80.90/81.16	(step @p675 :rule nary_cong :premises (@p674 @p673) :args ((or (not @t768) @t767)))
80.90/81.16	(assume-push @p1177 @t768)
80.90/81.16	(step @p677 :rule skolemize :premises (@p1177))
80.90/81.16	(step-pop @p1177 :rule scope :premises (@p677))
80.90/81.16	(step @p678 :rule process_scope :premises (@p1177) :args (@t767))
80.90/81.16	(step @p680 :rule implies_elim :premises (@p678))
80.90/81.16	(step @p681 :rule eq_resolve :premises (@p680 @p675))
80.90/81.16	(step @p682 :rule bool-double-not-elim :args (@t769))
80.90/81.16	(step @p683 :rule refl :args (@t782))
80.90/81.16	(step @p684 :rule refl :args (@t786))
80.90/81.16	(step @p685 :rule refl :args (@t480))
80.90/81.16	(step @p686 :rule nary_cong :premises (@p685 @p684 @p683 @p682) :args (@t789))
80.90/81.16	(step @p687 :rule aci_norm :args ((= (or @t480 (or @t786 (or @t782 @t788))) @t789)))
80.90/81.16	(step @p688 :rule trans :premises (@p687 @p686))
80.90/81.16	(step @p689 :rule bool-and-de-morgan :args (@t781 @t787 true))
80.90/81.16	(step @p690 :rule nary_cong :premises (@p684 @p689) :args ((or @t786 (not (and @t781 @t787)))))
80.90/81.16	(step @p691 :rule bool-and-de-morgan :args (@t785 @t781 (and @t787)))
80.90/81.16	(step @p692 :rule trans :premises (@p691 @p690))
80.90/81.16	(step @p693 :rule nary_cong :premises (@p685 @p692) :args ((or @t480 (not (and @t785 @t781 @t787)))))
80.90/81.16	(step @p694 :rule bool-and-de-morgan :args (@t340 @t785 (and @t781 @t787)))
80.90/81.16	(step @p695 :rule trans :premises (@p694 @p693))
80.90/81.16	(step @p696 :rule trans :premises (@p695 @p688))
80.90/81.16	(step @p697 :rule cong :premises (@p696) :args ((forall @t481 (not (and @t340 @t785 @t781 @t787)))))
80.90/81.16	(step @p698 :rule eq-symm :args (@t104 |tptp.'nil$'|))
80.90/81.16	(step @p699 :rule cong :premises (@p698) :args (@t112))
80.90/81.16	(step @p700 :rule bool-impl-false1 :args (@t111))
80.90/81.16	(step @p701 :rule trans :premises (@p700 @p699))
80.90/81.16	(step @p702 :rule aci_norm :args ((= @t791 @t779)))
80.90/81.16	(step @p703 :rule cong :premises (@p702) :args (@t792))
80.90/81.16	(step @p704 :rule quant-merge-prenex :args ((= (forall @t479 @t794) @t792)))
80.90/81.16	(step @p705 :rule alpha_equiv :args (@t795 (@list @t770) (@list @t66)))
80.90/81.16	(step @p706 :rule refl :args (@t777))
80.90/81.16	(step @p707 :rule refl :args (@t737))
80.90/81.16	(step @p708 :rule refl :args (@t778))
80.90/81.16	(step @p709 :rule nary_cong :premises (@p708 @p707 @p706 @p705) :args (@t796))
80.90/81.16	(step @p710 :rule quant-miniscope-or :args ((= @t794 @t796)))
80.90/81.16	(step @p711 :rule trans :premises (@p710 @p709))
80.90/81.16	(step @p712 :rule symm :premises (@p711))
80.90/81.16	(step @p713 :rule cong :premises (@p712) :args ((forall @t479 (or @t778 @t737 @t777 @t799))))
80.90/81.16	(step @p714 :rule trans :premises (@p713 @p704))
80.90/81.16	(step @p715 :rule trans :premises (@p714 @p703))
80.90/81.16	(step @p716 :rule bool-double-not-elim :args (@t799))
80.90/81.16	(step @p717 :rule nary_cong :premises (@p708 @p707 @p706 @p716) :args (@t802))
80.90/81.16	(step @p718 :rule aci_norm :args ((= (or @t778 (or @t737 (or @t777 @t801))) @t802)))
80.90/81.16	(step @p719 :rule trans :premises (@p718 @p717))
80.90/81.16	(step @p720 :rule bool-and-de-morgan :args (@t465 @t800 true))
80.90/81.16	(step @p721 :rule nary_cong :premises (@p707 @p720) :args ((or @t737 (not (and @t465 @t800)))))
80.90/81.16	(step @p722 :rule bool-and-de-morgan :args (@t736 @t465 (and @t800)))
80.90/81.16	(step @p723 :rule trans :premises (@p722 @p721))
80.90/81.16	(step @p724 :rule nary_cong :premises (@p708 @p723) :args ((or @t778 (not (and @t736 @t465 @t800)))))
80.90/81.16	(step @p725 :rule bool-and-de-morgan :args (@t463 @t736 (and @t465 @t800)))
80.90/81.16	(step @p726 :rule trans :premises (@p725 @p724))
80.90/81.16	(step @p727 :rule trans :premises (@p726 @p719))
80.90/81.16	(step @p728 :rule cong :premises (@p727) :args ((forall @t479 (not (and @t463 @t736 @t465 @t800)))))
80.90/81.16	(step @p729 :rule trans :premises (@p728 @p715))
80.90/81.16	(step @p730 :rule bool-implies-de-morgan :args (@t730 @t466))
80.90/81.16	(step @p731 :rule bool-implies-de-morgan :args (@t727 @t797))
80.90/81.16	(step @p732 :rule bool-implies-de-morgan :args (@t730 @t477))
80.90/81.16	(step @p733 :rule bool-implies-de-morgan :args (@t727 @t798))
80.90/81.16	(step @p734 :rule nary_cong :premises (@p733 @p732 @p731 @p730) :args (@t811))
80.90/81.16	(step @p735 :rule aci_norm :args ((= (or @t810 (or @t808 (or @t806 @t804))) @t811)))
80.90/81.16	(step @p736 :rule bool-and-de-morgan :args (@t805 @t803 true))
80.90/81.16	(step @p737 :rule refl :args (@t808))
80.90/81.16	(step @p738 :rule nary_cong :premises (@p737 @p736) :args ((or @t808 (not (and @t805 @t803)))))
80.90/81.16	(step @p739 :rule bool-and-de-morgan :args (@t807 @t805 (and @t803)))
80.90/81.16	(step @p740 :rule trans :premises (@p739 @p738))
80.90/81.16	(step @p741 :rule refl :args (@t810))
80.90/81.16	(step @p742 :rule nary_cong :premises (@p741 @p740) :args ((or @t810 (not (and @t807 @t805 @t803)))))
80.90/81.16	(step @p743 :rule bool-and-de-morgan :args (@t809 @t807 (and @t805 @t803)))
80.90/81.16	(step @p744 :rule trans :premises (@p743 @p742))
80.90/81.16	(step @p745 :rule trans :premises (@p744 @p735))
80.90/81.16	(step @p746 :rule trans :premises (@p745 @p734))
80.90/81.16	(step @p747 :rule cong :premises (@p746) :args (@t813))
80.90/81.16	(step @p748 :rule cong :premises (@p747) :args (@t814))
80.90/81.16	(step @p749 :rule exists-elim :args ((= (exists @t209 @t812) @t814)))
80.90/81.16	(step @p750 :rule trans :premises (@p749 @p748))
80.90/81.16	(step @p751 :rule refl :args (@t466))
80.90/81.16	(step @p752 :rule arith-elim-lt :args (@t41 1))
80.90/81.16	(step @p753 :rule cong :premises (@p752 @p751) :args (@t467))
80.90/81.16	(step @p754 :rule refl :args (@t473))
80.90/81.16	(step @p755 :rule arith_poly_norm :args ((= (+ @t41 -1) @t728)))
80.90/81.16	(step @p756 :rule evaluate :args (@t815))
80.90/81.16	(step @p757 :rule refl :args (@t41))
80.90/81.16	(step @p758 :rule nary_cong :premises (@p757 @p756) :args (@t816))
80.90/81.16	(step @p759 :rule trans :premises (@p758 @p755))
80.90/81.16	(step @p760 :rule arith_poly_norm :args ((= @t441 @t816)))
80.90/81.16	(step @p761 :rule trans :premises (@p760 @p759))
80.90/81.16	(step @p762 :rule cong :premises (@p761) :args (@t468))
80.90/81.16	(step @p763 :rule refl :args (@t66))
80.90/81.16	(step @p764 :rule refl :args (@t26))
80.90/81.16	(step @p765 :rule cong :premises (@p764 @p763 @p762) :args (@t474))
80.90/81.16	(step @p766 :rule cong :premises (@p765 @p754) :args (@t475))
80.90/81.16	(step @p767 :rule bool-double-not-elim :args (@t727))
80.90/81.16	(step @p768 :rule cong :premises (@p752) :args (@t449))
80.90/81.16	(step @p769 :rule trans :premises (@p768 @p767))
80.90/81.16	(step @p770 :rule cong :premises (@p769 @p766) :args (@t476))
80.90/81.16	(step @p771 :rule refl :args (@t477))
80.90/81.16	(step @p772 :rule cong :premises (@p752 @p771) :args (@t478))
80.90/81.16	(step @p773 :rule refl :args (@t138))
80.90/81.16	(step @p774 :rule refl :args (@t356))
80.90/81.16	(step @p775 :rule cong :premises (@p774 @p762) :args (@t469))
80.90/81.16	(step @p776 :rule cong :premises (@p775 @p773) :args (@t470))
80.90/81.16	(step @p777 :rule cong :premises (@p776 @p764) :args (@t471))
80.90/81.16	(step @p778 :rule cong :premises (@p769 @p777) :args (@t472))
80.90/81.16	(step @p779 :rule nary_cong :premises (@p778 @p772 @p770 @p753) :args (@t601))
80.90/81.16	(step @p780 :rule cong :premises (@p779) :args (@t602))
80.90/81.16	(step @p781 :rule trans :premises (@p780 @p750))
80.90/81.16	(step @p782 :rule refl :args (@t465))
80.90/81.16	(step @p783 :rule bool-double-not-elim :args (@t736))
80.90/81.16	(step @p784 :rule arith_poly_norm :args ((= (* 1 (- 2 @t817)) (* 1 (- 1 @t41)))))
80.90/81.16	(step @p785 :rule arith_poly_norm_rel :premises (@p784) :args ((= (>= 2 @t817) @t818)))
80.90/81.16	(step @p786 :rule arith-geq-tighten :args (@t41 2))
80.90/81.16	(step @p787 :rule trans :premises (@p786 @p785))
80.90/81.16	(step @p788 :rule symm :premises (@p787))
80.90/81.16	(step @p789 :rule cong :premises (@p788) :args ((not @t818)))
80.90/81.16	(step @p790 :rule trans :premises (@p789 @p783))
80.90/81.16	(step @p791 :rule arith-elim-lt :args (1 @t41))
80.90/81.16	(step @p792 :rule trans :premises (@p791 @p790))
80.90/81.16	(step @p793 :rule refl :args (@t463))
80.90/81.16	(step @p794 :rule nary_cong :premises (@p793 @p792 @p782 @p781) :args (@t711))
80.90/81.16	(step @p795 :rule cong :premises (@p794) :args ((not @t711)))
80.90/81.16	(step @p796 :rule bool-impl-false1 :args (@t711))
80.90/81.16	(step @p797 :rule trans :premises (@p796 @p795))
80.90/81.16	(step @p798 :rule cong :premises (@p797) :args (@t712))
80.90/81.16	(step @p799 :rule trans :premises (@p798 @p729))
80.90/81.16	(step @p800 :rule quant-merge-prenex :args ((= (forall @t460 @t820) @t785)))
80.90/81.16	(step @p801 :rule refl :args (@t723))
80.90/81.16	(step @p802 :rule alpha_equiv :args (@t821 (@list @t724 @t725) (@list @t438 @t350)))
80.90/81.16	(step @p803 :rule quant-unused-vars :args ((= @t822 @t732)))
80.90/81.16	(step @p804 :rule nary_cong :premises (@p803 @p802) :args (@t823))
80.90/81.16	(step @p805 :rule quant-miniscope-and :args ((= @t824 @t823)))
80.90/81.16	(step @p806 :rule trans :premises (@p805 @p804))
80.90/81.16	(step @p807 :rule refl :args (@t735))
80.90/81.16	(step @p808 :rule refl :args (@t783))
80.90/81.16	(step @p809 :rule nary_cong :premises (@p808 @p707 @p807 @p806 @p801) :args (@t825))
80.90/81.16	(step @p810 :rule quant-miniscope-or :args ((= @t820 @t825)))
80.90/81.16	(step @p811 :rule trans :premises (@p810 @p809))
80.90/81.16	(step @p812 :rule symm :premises (@p811))
80.90/81.16	(step @p813 :rule cong :premises (@p812) :args ((forall @t460 (or @t783 @t737 @t735 (and @t732 @t830) @t723))))
80.90/81.16	(step @p814 :rule trans :premises (@p813 @p800))
80.90/81.16	(step @p815 :rule bool-double-not-elim :args (@t830))
80.90/81.16	(step @p816 :rule refl :args (@t732))
80.90/81.16	(step @p817 :rule nary_cong :premises (@p816 @p815) :args ((and @t732 (not @t831))))
80.90/81.16	(step @p818 :rule bool-or-de-morgan :args (@t456 @t831 false))
80.90/81.16	(step @p819 :rule trans :premises (@p818 @p817))
80.90/81.16	(step @p820 :rule nary_cong :premises (@p808 @p707 @p807 @p819 @p801) :args (@t834))
80.90/81.16	(step @p821 :rule aci_norm :args ((= (or @t783 (or @t737 (or @t735 (or @t833 @t723)))) @t834)))
80.90/81.16	(step @p822 :rule bool-and-de-morgan :args (@t832 @t436 true))
80.90/81.16	(step @p823 :rule nary_cong :premises (@p807 @p822) :args ((or @t735 (not (and @t832 @t436)))))
80.90/81.16	(step @p824 :rule bool-and-de-morgan :args (@t734 @t832 (and @t436)))
80.90/81.16	(step @p825 :rule trans :premises (@p824 @p823))
80.90/81.16	(step @p826 :rule nary_cong :premises (@p707 @p825) :args ((or @t737 (not (and @t734 @t832 @t436)))))
80.90/81.16	(step @p827 :rule bool-and-de-morgan :args (@t736 @t734 (and @t832 @t436)))
80.90/81.16	(step @p828 :rule trans :premises (@p827 @p826))
80.90/81.16	(step @p829 :rule nary_cong :premises (@p808 @p828) :args ((or @t783 (not (and @t736 @t734 @t832 @t436)))))
80.90/81.16	(step @p830 :rule bool-and-de-morgan :args (@t459 @t736 (and @t734 @t832 @t436)))
80.90/81.16	(step @p831 :rule trans :premises (@p830 @p829))
80.90/81.16	(step @p832 :rule trans :premises (@p831 @p821))
80.90/81.16	(step @p833 :rule trans :premises (@p832 @p820))
80.90/81.16	(step @p834 :rule cong :premises (@p833) :args ((forall @t460 (not (and @t459 @t736 @t734 @t832 @t436)))))
80.90/81.16	(step @p835 :rule trans :premises (@p834 @p814))
80.90/81.16	(step @p836 :rule refl :args (@t436))
80.90/81.16	(step @p837 :rule refl :args (@t826))
80.90/81.16	(step @p838 :rule refl :args (@t827))
80.90/81.16	(step @p839 :rule refl :args (@t451))
80.90/81.16	(step @p840 :rule bool-double-not-elim :args (@t727))
80.90/81.16	(step @p841 :rule nary_cong :premises (@p840 @p839) :args ((or (not @t730) @t451)))
80.90/81.16	(step @p842 :rule bool-impl-elim :args (@t730 @t451))
80.90/81.16	(step @p843 :rule trans :premises (@p842 @p841))
80.90/81.16	(step @p844 :rule bool-impl-elim :args (@t727 @t828))
80.90/81.16	(step @p845 :rule nary_cong :premises (@p844 @p843) :args (@t835))
80.90/81.16	(step @p846 :rule refl :args (@t829))
80.90/81.16	(step @p847 :rule nary_cong :premises (@p846 @p845 @p838 @p837) :args ((or @t829 @t835 @t827 @t826)))
80.90/81.16	(step @p848 :rule bool-double-not-elim :args (@t835))
80.90/81.16	(step @p849 :rule nary_cong :premises (@p846 @p848 @p838 @p837) :args (@t838))
80.90/81.16	(step @p850 :rule aci_norm :args ((= (or @t829 (or @t837 (or @t827 @t826))) @t838)))
80.90/81.16	(step @p851 :rule trans :premises (@p850 @p849))
80.90/81.16	(step @p852 :rule bool-and-de-morgan :args (@t453 @t439 true))
80.90/81.16	(step @p853 :rule refl :args (@t837))
80.90/81.16	(step @p854 :rule nary_cong :premises (@p853 @p852) :args ((or @t837 (not (and @t453 @t439)))))
80.90/81.16	(step @p855 :rule bool-and-de-morgan :args (@t836 @t453 (and @t439)))
80.90/81.16	(step @p856 :rule trans :premises (@p855 @p854))
80.90/81.16	(step @p857 :rule nary_cong :premises (@p846 @p856) :args ((or @t829 (not (and @t836 @t453 @t439)))))
80.90/81.16	(step @p858 :rule bool-and-de-morgan :args (@t454 @t836 (and @t453 @t439)))
80.90/81.16	(step @p859 :rule trans :premises (@p858 @p857))
80.90/81.16	(step @p860 :rule trans :premises (@p859 @p851))
80.90/81.16	(step @p861 :rule trans :premises (@p860 @p847))
80.90/81.16	(step @p862 :rule cong :premises (@p861) :args (@t840))
80.90/81.16	(step @p863 :rule cong :premises (@p862) :args (@t841))
80.90/81.16	(step @p864 :rule exists-elim :args ((= (exists @t455 @t839) @t841)))
80.90/81.16	(step @p865 :rule trans :premises (@p864 @p863))
80.90/81.16	(step @p866 :rule refl :args (@t439))
80.90/81.16	(step @p867 :rule refl :args (@t453))
80.90/81.16	(step @p868 :rule refl :args (@t451))
80.90/81.16	(step @p869 :rule cong :premises (@p752 @p868) :args (@t452))
80.90/81.16	(step @p870 :rule refl :args (@t440))
80.90/81.16	(step @p871 :rule cong :premises (@p761) :args (@t442))
80.90/81.16	(step @p872 :rule cong :premises (@p871 @p870) :args (@t443))
80.90/81.16	(step @p873 :rule cong :premises (@p872) :args (@t444))
80.90/81.16	(step @p874 :rule refl :args (@t180))
80.90/81.16	(step @p875 :rule cong :premises (@p874 @p873) :args (@t445))
80.90/81.16	(step @p876 :rule cong :premises (@p875 @p773) :args (@t446))
80.90/81.16	(step @p877 :rule cong :premises (@p876 @p764) :args (@t447))
80.90/81.16	(step @p878 :rule cong :premises (@p769 @p877) :args (@t450))
80.90/81.16	(step @p879 :rule nary_cong :premises (@p878 @p869) :args (@t603))
80.90/81.16	(step @p880 :rule cong :premises (@p879) :args (@t604))
80.90/81.16	(step @p881 :rule refl :args (@t454))
80.90/81.16	(step @p882 :rule nary_cong :premises (@p881 @p880 @p867 @p866) :args (@t605))
80.90/81.16	(step @p883 :rule cong :premises (@p882) :args (@t606))
80.90/81.16	(step @p884 :rule trans :premises (@p883 @p865))
80.90/81.16	(step @p885 :rule refl :args (@t456))
80.90/81.16	(step @p886 :rule nary_cong :premises (@p885 @p884) :args (@t713))
80.90/81.16	(step @p887 :rule bool-double-not-elim :args (@t734))
80.90/81.16	(step @p888 :rule arith_poly_norm :args ((= (* -1 (- 1 @t842)) (* -1 (- 0 @t207)))))
80.90/81.16	(step @p889 :rule arith_poly_norm_rel :premises (@p888) :args ((= (>= 1 @t842) @t843)))
80.90/81.16	(step @p890 :rule arith-geq-tighten :args (@t207 1))
80.90/81.16	(step @p891 :rule trans :premises (@p890 @p889))
80.90/81.16	(step @p892 :rule symm :premises (@p891))
80.90/81.16	(step @p893 :rule cong :premises (@p892) :args ((not @t843)))
80.90/81.16	(step @p894 :rule trans :premises (@p893 @p887))
80.90/81.16	(step @p895 :rule arith-elim-lt :args (0 @t207))
80.90/81.16	(step @p896 :rule trans :premises (@p895 @p894))
80.90/81.16	(step @p897 :rule refl :args (@t459))
80.90/81.16	(step @p898 :rule nary_cong :premises (@p897 @p792 @p896 @p886 @p836) :args (@t714))
80.90/81.16	(step @p899 :rule cong :premises (@p898) :args ((not @t714)))
80.90/81.16	(step @p900 :rule bool-impl-false1 :args (@t714))
80.90/81.16	(step @p901 :rule trans :premises (@p900 @p899))
80.90/81.16	(step @p902 :rule cong :premises (@p901) :args (@t715))
80.90/81.16	(step @p903 :rule trans :premises (@p902 @p835))
80.90/81.16	(step @p904 :rule refl :args (@t340))
80.90/81.16	(step @p905 :rule nary_cong :premises (@p904 @p903 @p799 @p701) :args (@t716))
80.90/81.16	(step @p906 :rule cong :premises (@p905) :args ((not @t716)))
80.90/81.16	(step @p907 :rule bool-impl-false1 :args (@t716))
80.90/81.16	(step @p908 :rule trans :premises (@p907 @p906))
80.90/81.16	(step @p909 :rule cong :premises (@p908) :args (@t717))
80.90/81.16	(step @p910 :rule trans :premises (@p909 @p697))
80.90/81.16	(step @p911 :rule eq_resolve :premises (@p566 @p910))
80.90/81.16	(step @p912 :rule instantiate :premises (@p911) :args ((@list @t378)))
80.90/81.16	(step @p913 :rule instantiate :premises (@p97) :args ((@list |tptp.'y$'| |tptp.'ys$'|)))
80.90/81.16	(step @p914 :rule cnf_or_pos :args (@t848))
80.90/81.16	(step @p915 :rule reordering :premises (@p914) :args ((or @t847 @t844 @t768 @t846 (not @t848))))
80.90/81.16	(step @p916 :rule refl :args (@t864))
80.90/81.16	(step @p917 :rule bool-double-not-elim :args (@t845))
80.90/81.16	(step @p918 :rule nary_cong :premises (@p917 @p916) :args ((or (not @t846) @t864)))
80.90/81.16	(assume-push @p1179 @t846)
80.90/81.16	(step @p920 :rule skolemize :premises (@p1179))
80.90/81.16	(step-pop @p1179 :rule scope :premises (@p920))
80.90/81.16	(step @p921 :rule process_scope :premises (@p1179) :args (@t864))
80.90/81.16	(step @p923 :rule implies_elim :premises (@p921))
80.90/81.16	(step @p924 :rule eq_resolve :premises (@p923 @p918))
80.90/81.16	(step @p925 :rule bool-double-not-elim :args (@t861))
80.90/81.16	(step @p926 :rule refl :args (@t863))
80.90/81.16	(step @p927 :rule nary_cong :premises (@p926 @p925) :args ((or @t863 (not @t862))))
80.90/81.16	(step @p928 :rule cnf_or_neg :args (@t863 0))
80.90/81.16	(step @p929 :rule eq_resolve :premises (@p928 @p927))
80.90/81.16	(step @p930 :rule reordering :premises (@p929) :args ((or @t861 @t863)))
80.90/81.16	(step @p931 :rule bool-double-not-elim :args (@t858))
80.90/81.16	(step @p932 :rule nary_cong :premises (@p926 @p931) :args ((or @t863 (not @t859))))
80.90/81.16	(step @p933 :rule cnf_or_neg :args (@t863 2))
80.90/81.16	(step @p934 :rule eq_resolve :premises (@p933 @p932))
80.90/81.16	(step @p935 :rule reordering :premises (@p934) :args ((or @t858 @t863)))
80.90/81.16	(step @p936 :rule instantiate :premises (@p633) :args ((@list @t860 @t855 |tptp.'y$'| |tptp.'ys$'|)))
80.90/81.16	(step @p937 :rule cnf_equiv_pos1 :args (@t867))
80.90/81.16	(step @p938 :rule reordering :premises (@p937) :args ((or @t862 @t866 (not @t867))))
80.90/81.16	(step @p939 :rule cnf_and_pos :args (@t866 1))
80.90/81.16	(step @p940 :rule reordering :premises (@p939) :args ((or @t865 (not @t866))))
80.90/81.16	(step @p941 :rule refl :args (@t868))
80.90/81.16	(step @p942 :rule refl :args (@t859))
80.90/81.16	(step @p943 :rule nary_cong :premises (@p641 @p942 @p941) :args ((or @t763 @t859 @t868)))
80.90/81.16	(assume-push @p1181 @t762)
80.90/81.16	(assume-push @p1182 @t865)
80.90/81.16	(assume-push @p1183 @t858)
80.90/81.16	(step @p646 :rule evaluate :args (@t764))
80.90/81.16	(step @p947 :rule false_intro :premises (@p1181))
80.90/81.16	(step @p948 :rule symm :premises (@p1182))
80.90/81.16	(step @p649 :rule refl :args (|tptp.'valid_cert$'|))
80.90/81.16	(step @p949 :rule cong :premises (@p649 @p948) :args (@t858))
80.90/81.16	(step @p950 :rule true_intro :premises (@p1183))
80.90/81.16	(step @p951 :rule symm :premises (@p950))
80.90/81.16	(step @p952 :rule trans :premises (@p951 @p949 @p947))
80.90/81.16	(step @p953 false :rule eq_resolve :premises (@p952 @p646))
80.90/81.16	(step-pop @p1183 :rule scope :premises (@p953))
80.90/81.16	(step-pop @p1184 :rule scope :premises (@p1183))
80.90/81.16	(step-pop @p1185 :rule scope :premises (@p1184))
80.90/81.16	(step @p954 :rule process_scope :premises (@p1185) :args (false))
80.90/81.16	(assume-push @p1187 @t762)
80.90/81.16	(assume-push @p1188 @t858)
80.90/81.16	(assume-push @p1189 @t865)
80.90/81.16	(step @p961 :rule and_intro :premises (@p1187 @p1189 @p1188))
80.90/81.16	(step-pop @p1189 :rule scope :premises (@p961))
80.90/81.16	(step-pop @p1190 :rule scope :premises (@p1189))
80.90/81.16	(step-pop @p1191 :rule scope :premises (@p1190))
80.90/81.16	(step @p962 :rule process_scope :premises (@p1191) :args (@t869))
80.90/81.16	(step @p966 :rule implies_elim :premises (@p962))
80.90/81.16	(step @p967 :rule resolution :premises (@p966 @p954) :args (true @t869))
80.90/81.16	(step @p968 :rule not_and :premises (@p967))
80.90/81.16	(step @p969 :rule eq_resolve :premises (@p968 @p943))
80.90/81.16	(step @p970 :rule chain_resolution :premises (@p969 @p940 @p938 @p936 @p935 @p930) :args (@t766 (@list @t865 @t866 @t867 @t858 @t861)))
80.90/81.16	(step @p971 :rule factoring :premises (@p970))
80.90/81.16	(step @p972 :rule chain_resolution :premises (@p971 @p924 @p915 @p913 @p912 @p133 @p681 @p672) :args ((@list true true true false false false false) (@list @t863 @t845 @t844 @t848 @t379 @t739 @t757)))
80.90/81.16	(step @p973 :rule factoring :premises (@p972))
80.90/81.16	(step @p974 :rule quant-merge-prenex :args ((= (forall @t599 @t882) @t880)))
80.90/81.16	(step @p975 :rule alpha_equiv :args (@t883 (@list @t870) (@list @t175)))
80.90/81.16	(step @p976 :rule quant-unused-vars :args ((= @t884 @t734)))
80.90/81.16	(step @p977 :rule nary_cong :premises (@p976 @p975) :args (@t885))
80.90/81.16	(step @p978 :rule quant-miniscope-and :args ((= @t886 @t885)))
80.90/81.16	(step @p979 :rule trans :premises (@p978 @p977))
80.90/81.16	(step @p980 :rule refl :args (@t874))
80.90/81.16	(step @p981 :rule nary_cong :premises (@p980 @p979) :args (@t887))
80.90/81.16	(step @p982 :rule quant-miniscope-or :args ((= @t888 @t887)))
80.90/81.16	(step @p983 :rule trans :premises (@p982 @p981))
80.90/81.16	(step @p984 :rule quant-unused-vars :args ((= @t889 @t876)))
80.90/81.16	(step @p985 :rule nary_cong :premises (@p984 @p983) :args (@t890))
80.90/81.16	(step @p986 :rule quant-miniscope-and :args ((= @t891 @t890)))
80.90/81.16	(step @p987 :rule trans :premises (@p986 @p985))
80.90/81.16	(step @p988 :rule refl :args (@t878))
80.90/81.16	(step @p989 :rule nary_cong :premises (@p988 @p987) :args (@t892))
80.90/81.16	(step @p990 :rule quant-miniscope-or :args ((= @t882 @t892)))
80.90/81.16	(step @p991 :rule trans :premises (@p990 @p989))
80.90/81.16	(step @p992 :rule symm :premises (@p991))
80.90/81.16	(step @p993 :rule cong :premises (@p992) :args (@t901))
80.90/81.16	(step @p994 :rule trans :premises (@p993 @p974))
80.90/81.16	(step @p995 :rule refl :args (@t762))
80.90/81.16	(step @p996 :rule nary_cong :premises (@p995 @p994) :args (@t902))
80.90/81.16	(step @p997 :rule quant-miniscope-or :args ((= (forall @t599 @t903) @t902)))
80.90/81.16	(step @p998 :rule aci_norm :args ((= @t904 @t903)))
80.90/81.16	(step @p999 :rule cong :premises (@p998) :args ((forall @t599 @t904)))
80.90/81.16	(step @p1000 :rule trans :premises (@p999 @p997))
80.90/81.16	(step @p1001 :rule trans :premises (@p1000 @p996))
80.90/81.16	(step @p1002 :rule aci_norm :args ((= (or (or @t878 @t762) @t899) @t904)))
80.90/81.16	(step @p1003 :rule bool-impl-elim :args (@t556 @t898))
80.90/81.16	(step @p1004 :rule bool-impl-elim :args (@t558 @t135))
80.90/81.16	(step @p1005 :rule nary_cong :premises (@p1004 @p1003) :args (@t905))
80.90/81.16	(step @p1006 :rule bool-and-de-morgan :args (@t596 @t594 true))
80.90/81.16	(step @p1007 :rule nary_cong :premises (@p1006 @p1005) :args ((or (not @t597) @t905)))
80.90/81.16	(step @p1008 :rule trans :premises (@p1007 @p1002))
80.90/81.16	(step @p1009 :rule bool-impl-elim :args (@t597 @t905))
80.90/81.16	(step @p1010 :rule trans :premises (@p1009 @p1008))
80.90/81.16	(step @p1011 :rule cong :premises (@p1010) :args ((forall @t599 (=> @t597 @t905))))
80.90/81.16	(step @p1012 :rule trans :premises (@p1011 @p1001))
80.90/81.16	(step @p1013 :rule aci_norm :args ((= (or @t896 (or @t895 @t893)) @t897)))
80.90/81.16	(step @p1014 :rule bool-implies-de-morgan :args (@t730 @t576))
80.90/81.16	(step @p1015 :rule bool-implies-de-morgan :args (@t727 @t894))
80.90/81.16	(step @p1016 :rule nary_cong :premises (@p1015 @p1014) :args ((or (not @t907) (not @t906))))
80.90/81.16	(step @p1017 :rule bool-and-de-morgan :args (@t907 @t906 true))
80.90/81.16	(step @p1018 :rule trans :premises (@p1017 @p1016))
80.90/81.16	(step @p1019 :rule refl :args (@t896))
80.90/81.16	(step @p1020 :rule nary_cong :premises (@p1019 @p1018) :args ((or @t896 @t908)))
80.90/81.16	(step @p1021 :rule trans :premises (@p1020 @p1013))
80.90/81.16	(step @p1022 :rule bool-impl-elim :args (@t587 @t908))
80.90/81.16	(step @p1023 :rule trans :premises (@p1022 @p1021))
80.90/81.16	(step @p1024 :rule cong :premises (@p1023) :args ((forall @t178 (=> @t587 @t908))))
80.90/81.16	(step @p1025 :rule refl :args (@t576))
80.90/81.16	(step @p1026 :rule cong :premises (@p752 @p1025) :args (@t577))
80.90/81.16	(step @p1027 :rule refl :args (@t244))
80.90/81.16	(step @p1028 :rule cong :premises (@p871 @p1027) :args (@t578))
80.90/81.16	(step @p1029 :rule cong :premises (@p1028) :args (@t579))
80.90/81.16	(step @p1030 :rule cong :premises (@p874 @p1029) :args (@t580))
80.90/81.16	(step @p1031 :rule cong :premises (@p1030 @p773) :args (@t581))
80.90/81.16	(step @p1032 :rule cong :premises (@p1031 @p764) :args (@t582))
80.90/81.16	(step @p1033 :rule cong :premises (@p769 @p1032) :args (@t583))
80.90/81.16	(step @p1034 :rule nary_cong :premises (@p1033 @p1026) :args (@t584))
80.90/81.16	(step @p1035 :rule cong :premises (@p1034) :args (@t585))
80.90/81.16	(step @p1036 :rule refl :args (@t587))
80.90/81.16	(step @p1037 :rule cong :premises (@p1036 @p1035) :args (@t588))
80.90/81.16	(step @p1038 :rule cong :premises (@p1037) :args (@t589))
80.90/81.16	(step @p1039 :rule trans :premises (@p1038 @p1024))
80.90/81.16	(step @p1040 :rule nary_cong :premises (@p896 @p1039) :args (@t590))
80.90/81.16	(step @p1041 :rule refl :args (@t556))
80.90/81.16	(step @p1042 :rule cong :premises (@p1041 @p1040) :args (@t591))
80.90/81.16	(step @p1043 :rule refl :args (@t592))
80.90/81.16	(step @p1044 :rule nary_cong :premises (@p1043 @p1042) :args (@t593))
80.90/81.16	(step @p1045 :rule refl :args (@t597))
80.90/81.16	(step @p1046 :rule cong :premises (@p1045 @p1044) :args (@t598))
80.90/81.16	(step @p1047 :rule cong :premises (@p1046) :args (@t600))
80.90/81.16	(step @p1048 :rule trans :premises (@p1047 @p1012))
80.90/81.16	(step @p1049 :rule eq_resolve :premises (@p306 @p1048))
80.90/81.16	(step @p1050 :rule chain_resolution :premises (@p1049 @p973) :args (@t909 (@list @t594)))
80.90/81.16	(assume-push @p1193 @t880)
80.90/81.16	(step @p1052 :rule instantiate :premises (@p1193) :args ((@list |tptp.'ta$'| |tptp.'pa$'| |tptp.'aa$'| |tptp.'xa$'| @t920)))
80.90/81.16	(step-pop @p1193 :rule scope :premises (@p1052))
80.90/81.16	(step @p1053 :rule process_scope :premises (@p1193) :args (@t931))
80.90/81.16	(step @p1055 :rule implies_elim :premises (@p1053))
80.90/81.16	(step @p1056 :rule chain_resolution :premises (@p1055 @p1050) :args (@t909 (@list @t880)))
80.90/81.16	(step @p1057 :rule cnf_or_pos :args (@t931))
80.90/81.16	(step @p1058 :rule reordering :premises (@p1057) :args ((or @t930 @t929 (not @t931))))
80.90/81.16	(step @p1059 :rule chain_resolution :premises (@p1058 @p335 @p1056) :args (@t932 (@list @t621 @t931)))
80.90/81.16	(step @p1060 :rule cnf_and_pos :args (@t929 0))
80.90/81.16	(step @p1061 :rule reordering :premises (@p1060) :args ((or @t928 @t933)))
80.90/81.16	(step @p1062 :rule chain_resolution :premises (@p1061 @p1059) :args (@t909 @t934))
80.90/81.16	(step @p1063 :rule cnf_or_pos :args (@t928))
80.90/81.16	(step @p1064 :rule reordering :premises (@p1063) :args ((or @t329 @t927 (not @t928))))
80.90/81.16	(step @p1065 :rule chain_resolution :premises (@p1064 @p1062 @p615 @p614) :args ((@list false true false) (@list @t928 @t329 @t659)))
80.90/81.16	(step @p1066 :rule factoring :premises (@p1065))
80.90/81.16	(step @p1067 :rule refl :args (@t660))
80.90/81.16	(step @p1068 :rule bool-double-not-elim :args (@t923))
80.90/81.16	(step @p1069 :rule arith_poly_norm :args ((= (* -1 (- 1 @t935)) (* -1 (- 0 @t136)))))
80.90/81.16	(step @p1070 :rule arith_poly_norm_rel :premises (@p1069) :args ((= (>= 1 @t935) @t936)))
80.90/81.16	(step @p1071 :rule arith-geq-tighten :args (@t136 1))
80.90/81.16	(step @p1072 :rule trans :premises (@p1071 @p1070))
80.90/81.16	(step @p1073 :rule symm :premises (@p1072))
80.90/81.16	(step @p1074 :rule cong :premises (@p1073) :args ((not @t936)))
80.90/81.16	(step @p1075 :rule trans :premises (@p1074 @p1068))
80.90/81.16	(step @p1076 :rule arith-elim-lt :args (0 @t136))
80.90/81.16	(step @p1077 :rule trans :premises (@p1076 @p1075))
80.90/81.16	(step @p1078 :rule aci_norm :args ((= (or @t917 (or @t912 @t916)) @t937)))
80.90/81.16	(step @p1079 :rule bool-implies-de-morgan :args (@t910 @t915))
80.90/81.16	(step @p1080 :rule bool-implies-de-morgan :args (@t911 @t142))
80.90/81.16	(step @p1081 :rule nary_cong :premises (@p1080 @p1079) :args ((or (not @t939) (not @t938))))
80.90/81.16	(step @p1082 :rule bool-and-de-morgan :args (@t939 @t938 true))
80.90/81.16	(step @p1083 :rule trans :premises (@p1082 @p1081))
80.90/81.16	(step @p1084 :rule refl :args (@t917))
80.90/81.16	(step @p1085 :rule nary_cong :premises (@p1084 @p1083) :args ((or @t917 @t940)))
80.90/81.16	(step @p1086 :rule trans :premises (@p1085 @p1078))
80.90/81.16	(step @p1087 :rule bool-impl-elim :args (@t156 @t940))
80.90/81.16	(step @p1088 :rule trans :premises (@p1087 @p1086))
80.90/81.16	(step @p1089 :rule cong :premises (@p1088) :args ((forall @t5 (=> @t156 @t940))))
80.90/81.16	(step @p1090 :rule refl :args (|tptp.'pa$'|))
80.90/81.16	(step @p1091 :rule refl :args (@t38))
80.90/81.16	(step @p1092 :rule arith_poly_norm :args ((= (+ @t143 -1) @t913)))
80.90/81.16	(step @p1093 :rule refl :args (@t143))
80.90/81.16	(step @p1094 :rule nary_cong :premises (@p1093 @p756) :args (@t941))
80.90/81.16	(step @p1095 :rule trans :premises (@p1094 @p1092))
80.90/81.16	(step @p1096 :rule arith_poly_norm :args ((= @t146 @t941)))
80.90/81.16	(step @p1097 :rule trans :premises (@p1096 @p1095))
80.90/81.16	(step @p1098 :rule cong :premises (@p1097) :args (@t147))
80.90/81.16	(step @p1099 :rule cong :premises (@p1098 @p1091) :args (@t148))
80.90/81.16	(step @p1100 :rule cong :premises (@p1099) :args (@t149))
80.90/81.16	(step @p1101 :rule refl :args (@t141))
80.90/81.16	(step @p1102 :rule cong :premises (@p1101 @p1100) :args (@t150))
80.90/81.16	(step @p1103 :rule cong :premises (@p1102 @p773) :args (@t151))
80.90/81.16	(step @p1104 :rule cong :premises (@p1103 @p1090) :args (@t152))
80.90/81.16	(step @p1105 :rule bool-double-not-elim :args (@t910))
80.90/81.16	(step @p1106 :rule arith-elim-lt :args (@t143 1))
80.90/81.16	(step @p1107 :rule cong :premises (@p1106) :args (@t153))
80.90/81.16	(step @p1108 :rule trans :premises (@p1107 @p1105))
80.90/81.16	(step @p1109 :rule cong :premises (@p1108 @p1104) :args (@t154))
80.90/81.16	(step @p1110 :rule refl :args (@t142))
80.90/81.16	(step @p1111 :rule cong :premises (@p1106 @p1110) :args (@t145))
80.90/81.16	(step @p1112 :rule nary_cong :premises (@p1111 @p1109) :args (@t508))
80.90/81.16	(step @p1113 :rule cong :premises (@p1112) :args (@t509))
80.90/81.16	(step @p1114 :rule refl :args (@t156))
80.90/81.16	(step @p1115 :rule cong :premises (@p1114 @p1113) :args (@t510))
80.90/81.16	(step @p1116 :rule cong :premises (@p1115) :args (@t511))
80.90/81.16	(step @p1117 :rule trans :premises (@p1116 @p1089))
80.90/81.16	(step @p1118 :rule nary_cong :premises (@p1117 @p1077) :args (@t661))
80.90/81.16	(step @p1119 :rule refl :args (@t662))
80.90/81.16	(step @p1120 :rule cong :premises (@p1119 @p1118) :args (@t663))
80.90/81.16	(step @p1121 :rule nary_cong :premises (@p1120 @p1067) :args (@t664))
80.90/81.16	(step @p1122 :rule cong :premises (@p1121) :args (@t665))
80.90/81.16	(step @p1123 :rule eq_resolve :premises (@p408 @p1122))
80.90/81.16	(step @p1124 :rule not_and :premises (@p1123))
80.90/81.16	(step @p1125 :rule chain_resolution :premises (@p1124 @p1066) :args (@t909 (@list @t660)))
80.90/81.16	(step @p1126 :rule cnf_implies_neg2 :args (@t944))
80.90/81.16	(step @p1127 :rule chain_resolution :premises (@p1126 @p1125) :args (@t945 @t946))
80.90/81.16	(step @p1128 :rule cnf_and_pos :args (@t929 1))
80.90/81.16	(step @p1129 :rule reordering :premises (@p1128) :args ((or @t926 @t933)))
80.90/81.16	(step @p1130 :rule chain_resolution :premises (@p1129 @p1059) :args (@t909 @t934))
80.90/81.16	(step @p1131 :rule cnf_implies_neg1 :args (@t944))
80.90/81.16	(step @p1132 :rule reordering :premises (@p1131) :args ((or @t662 @t944)))
80.90/81.16	(step @p1133 :rule chain_resolution :premises (@p1132 @p1125) :args (@t945 @t946))
80.90/81.16	(step @p1134 :rule cnf_or_pos :args (@t926))
80.90/81.16	(step @p1135 :rule reordering :premises (@p1134) :args ((or @t925 @t924 (not @t926))))
80.90/81.16	(step @p1136 :rule chain_resolution :premises (@p1135 @p1133 @p1130) :args (@t932 (@list @t662 @t926)))
80.90/81.16	(step @p1137 :rule cnf_and_pos :args (@t924 0))
80.90/81.16	(step @p1138 :rule reordering :premises (@p1137) :args ((or @t923 @t947)))
80.90/81.16	(step @p1139 :rule chain_resolution :premises (@p1138 @p1136) :args (@t909 @t948))
80.90/81.16	(step @p1140 :rule cnf_and_neg :args (@t943))
80.90/81.16	(step @p1141 :rule reordering :premises (@p1140) :args ((or (not @t923) @t943 (not @t942))))
80.90/81.16	(step @p1142 :rule chain_resolution :premises (@p1141 @p1139 @p1127) :args (@t949 (@list @t923 @t943)))
80.90/81.16	(step @p1143 :rule cnf_and_pos :args (@t924 1))
80.90/81.16	(step @p1144 :rule reordering :premises (@p1143) :args ((or @t922 @t947)))
80.90/81.16	(step @p1145 :rule chain_resolution :premises (@p1144 @p1136) :args (@t909 @t948))
80.90/81.16	(step @p1146 :rule refl :args (@t950))
80.90/81.16	(step @p1147 :rule bool-double-not-elim :args (@t919))
80.90/81.16	(step @p1148 :rule nary_cong :premises (@p1147 @p1146) :args ((or (not @t951) @t950)))
80.90/81.16	(assume-push @p1195 @t951)
80.90/81.16	(step @p1150 :rule skolemize :premises (@p1195))
80.90/81.16	(step-pop @p1195 :rule scope :premises (@p1150))
80.90/81.16	(step @p1151 :rule process_scope :premises (@p1195) :args (@t950))
80.90/81.16	(step @p1153 :rule implies_elim :premises (@p1151))
80.90/81.16	(step @p1154 :rule eq_resolve :premises (@p1153 @p1148))
80.90/81.16	(step @p1155 :rule chain_resolution :premises (@p1154 @p1145) :args (@t909 (@list @t922)))
80.90/81.16	(step @p1156 :rule aci_norm :args ((= @t937 @t918)))
80.90/81.16	(step @p1157 :rule cong :premises (@p1156) :args (@t942))
80.90/81.16	(step @p1158 :rule true_intro :premises (@p1157))
80.90/81.16	(step @p1159 :rule eq-symm :args (@t919 @t942))
80.90/81.16	(step @p1160 :rule trans :premises (@p1159 @p1158))
80.90/81.16	(step @p1161 :rule true_elim :premises (@p1160))
80.90/81.16	(step @p1162 :rule equiv_elim1 :premises (@p1161))
80.90/81.16	(step @p1163 :rule reordering :premises (@p1162) :args ((or @t942 @t951)))
80.90/81.16	(step @p1164 false :rule chain_resolution :premises (@p1163 @p1155 @p1142) :args (@t949 (@list @t919 @t942)))
80.90/81.16	)
80.90/81.16	% SZS output end Proof
80.90/81.16	% cvc5 exiting
80.90/81.16	EOF