%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX031+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:01 AM UTC 2026 % Result : Theorem 34.04s 34.37s % Output : Proof 34.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX031+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:52:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.57 %----Proving TF0_NAR, FOF, or CNF % 34.04/34.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.04/34.37 --- Run --no-e-matching --full-saturate-quant at 6... % 34.04/34.37 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.04/34.37 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.04/34.37 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.04/34.37 % SZS status Theorem % 34.04/34.37 % SZS output start Proof % 34.04/34.37 ( % 34.04/34.37 (declare-sort $$unsorted 0) % 34.04/34.37 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 34.04/34.37 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.integer_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.integer_fails (-> $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'=<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_ordered_fails (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.mergesort_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.split_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.split_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.merge_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.integer_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.mergesort_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_list_fails (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.split_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_ordered_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.gr (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.mergesort_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_list_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'0'| $$unsorted) % 34.04/34.37 (declare-const tptp.merge_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_ordered_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.int_list_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nil $$unsorted) % 34.04/34.37 (declare-const tptp.merge_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.04/34.37 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 34.04/34.37 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 34.04/34.37 (define @t1 () (@var "Xx3" $$unsorted)) % 34.04/34.37 (define @t2 () (tptp.s @t1)) % 34.04/34.37 (define @t3 () (@var "Xx5" $$unsorted)) % 34.04/34.37 (define @t4 () (@var "Xx4" $$unsorted)) % 34.04/34.37 (define @t5 () (tptp.cons @t4 @t3)) % 34.04/34.37 (define @t6 () (@list @t4 @t3)) % 34.04/34.37 (define @t7 () (@var "Xx7" $$unsorted)) % 34.04/34.37 (define @t8 () (@var "Xx6" $$unsorted)) % 34.04/34.37 (define @t9 () (tptp.s @t7)) % 34.04/34.37 (define @t10 () (@list @t8 @t7)) % 34.04/34.37 (define @t11 () (@var "Xx8" $$unsorted)) % 34.04/34.37 (define @t12 () (@var "Xx11" $$unsorted)) % 34.04/34.37 (define @t13 () (@var "Xx10" $$unsorted)) % 34.04/34.37 (define @t14 () (tptp.cons @t13 @t12)) % 34.04/34.37 (define @t15 () (@var "Xx9" $$unsorted)) % 34.04/34.37 (define @t16 () (@var "Xx13" $$unsorted)) % 34.04/34.37 (define @t17 () (@var "Xx12" $$unsorted)) % 34.04/34.37 (define @t18 () (tptp.cons @t17 @t16)) % 34.04/34.37 (define @t19 () (@var "Xx17" $$unsorted)) % 34.04/34.37 (define @t20 () (@var "Xx15" $$unsorted)) % 34.04/34.37 (define @t21 () (@var "Xx16" $$unsorted)) % 34.04/34.37 (define @t22 () (@var "Xx14" $$unsorted)) % 34.04/34.37 (define @t23 () (tptp.cons @t22 @t20)) % 34.04/34.37 (define @t24 () (@var "Xx20" $$unsorted)) % 34.04/34.37 (define @t25 () (@var "Xx18" $$unsorted)) % 34.04/34.37 (define @t26 () (@var "Xx21" $$unsorted)) % 34.04/34.37 (define @t27 () (@var "Xx19" $$unsorted)) % 34.04/34.37 (define @t28 () (@var "Xx22" $$unsorted)) % 34.04/34.37 (define @t29 () (@var "Xx24" $$unsorted)) % 34.04/34.37 (define @t30 () (@var "Xx23" $$unsorted)) % 34.04/34.37 (define @t31 () (@var "Xx25" $$unsorted)) % 34.04/34.37 (define @t32 () (tptp.int_ordered_fails @t31)) % 34.04/34.37 (define @t33 () (tptp.int_ordered_succeeds @t31)) % 34.04/34.37 (define @t34 () (@list @t31)) % 34.04/34.37 (define @t35 () (@var "Xx26" $$unsorted)) % 34.04/34.37 (define @t36 () (tptp.int_list_fails @t35)) % 34.04/34.37 (define @t37 () (tptp.int_list_succeeds @t35)) % 34.04/34.37 (define @t38 () (@list @t35)) % 34.04/34.37 (define @t39 () (@var "Xx29" $$unsorted)) % 34.04/34.37 (define @t40 () (@var "Xx28" $$unsorted)) % 34.04/34.37 (define @t41 () (@var "Xx27" $$unsorted)) % 34.04/34.37 (define @t42 () (tptp.merge_fails @t41 @t40 @t39)) % 34.04/34.37 (define @t43 () (tptp.merge_succeeds @t41 @t40 @t39)) % 34.04/34.37 (define @t44 () (@list @t41 @t40 @t39)) % 34.04/34.37 (define @t45 () (@var "Xx32" $$unsorted)) % 34.04/34.37 (define @t46 () (@var "Xx31" $$unsorted)) % 34.04/34.37 (define @t47 () (@var "Xx30" $$unsorted)) % 34.04/34.37 (define @t48 () (tptp.split_fails @t47 @t46 @t45)) % 34.04/34.37 (define @t49 () (tptp.split_succeeds @t47 @t46 @t45)) % 34.04/34.37 (define @t50 () (@list @t47 @t46 @t45)) % 34.04/34.37 (define @t51 () (@var "Xx34" $$unsorted)) % 34.04/34.37 (define @t52 () (@var "Xx33" $$unsorted)) % 34.04/34.37 (define @t53 () (tptp.mergesort_fails @t52 @t51)) % 34.04/34.37 (define @t54 () (tptp.mergesort_succeeds @t52 @t51)) % 34.04/34.37 (define @t55 () (@list @t52 @t51)) % 34.04/34.37 (define @t56 () (@var "Xx37" $$unsorted)) % 34.04/34.37 (define @t57 () (@var "Xx36" $$unsorted)) % 34.04/34.37 (define @t58 () (@var "Xx35" $$unsorted)) % 34.04/34.37 (define @t59 () (tptp.member2_fails @t58 @t57 @t56)) % 34.04/34.37 (define @t60 () (tptp.member2_succeeds @t58 @t57 @t56)) % 34.04/34.37 (define @t61 () (@list @t58 @t57 @t56)) % 34.04/34.37 (define @t62 () (@var "Xx40" $$unsorted)) % 34.04/34.37 (define @t63 () (@var "Xx39" $$unsorted)) % 34.04/34.37 (define @t64 () (@var "Xx38" $$unsorted)) % 34.04/34.37 (define @t65 () (tptp.occ_fails @t64 @t63 @t62)) % 34.04/34.37 (define @t66 () (tptp.occ_succeeds @t64 @t63 @t62)) % 34.04/34.37 (define @t67 () (@list @t64 @t63 @t62)) % 34.04/34.37 (define @t68 () (@var "Xx42" $$unsorted)) % 34.04/34.37 (define @t69 () (@var "Xx41" $$unsorted)) % 34.04/34.37 (define @t70 () (tptp.not_same_occ_fails @t69 @t68)) % 34.04/34.37 (define @t71 () (tptp.not_same_occ_succeeds @t69 @t68)) % 34.04/34.37 (define @t72 () (@list @t69 @t68)) % 34.04/34.37 (define @t73 () (@var "Xx44" $$unsorted)) % 34.04/34.37 (define @t74 () (@var "Xx43" $$unsorted)) % 34.04/34.37 (define @t75 () (tptp.same_occ_fails @t74 @t73)) % 34.04/34.37 (define @t76 () (tptp.same_occ_succeeds @t74 @t73)) % 34.04/34.37 (define @t77 () (@list @t74 @t73)) % 34.04/34.37 (define @t78 () (@var "Xx46" $$unsorted)) % 34.04/34.37 (define @t79 () (@var "Xx45" $$unsorted)) % 34.04/34.37 (define @t80 () (tptp.permutation_fails @t79 @t78)) % 34.04/34.37 (define @t81 () (tptp.permutation_succeeds @t79 @t78)) % 34.04/34.37 (define @t82 () (@list @t79 @t78)) % 34.04/34.37 (define @t83 () (@var "Xx49" $$unsorted)) % 34.04/34.37 (define @t84 () (@var "Xx48" $$unsorted)) % 34.04/34.37 (define @t85 () (@var "Xx47" $$unsorted)) % 34.04/34.37 (define @t86 () (tptp.delete_fails @t85 @t84 @t83)) % 34.04/34.37 (define @t87 () (tptp.delete_succeeds @t85 @t84 @t83)) % 34.04/34.37 (define @t88 () (@list @t85 @t84 @t83)) % 34.04/34.37 (define @t89 () (@var "Xx51" $$unsorted)) % 34.04/34.37 (define @t90 () (@var "Xx50" $$unsorted)) % 34.04/34.37 (define @t91 () (tptp.length_fails @t90 @t89)) % 34.04/34.37 (define @t92 () (tptp.length_succeeds @t90 @t89)) % 34.04/34.37 (define @t93 () (@list @t90 @t89)) % 34.04/34.37 (define @t94 () (@var "Xx54" $$unsorted)) % 34.04/34.37 (define @t95 () (@var "Xx53" $$unsorted)) % 34.04/34.37 (define @t96 () (@var "Xx52" $$unsorted)) % 34.04/34.37 (define @t97 () (tptp.append_fails @t96 @t95 @t94)) % 34.04/34.37 (define @t98 () (tptp.append_succeeds @t96 @t95 @t94)) % 34.04/34.37 (define @t99 () (@list @t96 @t95 @t94)) % 34.04/34.37 (define @t100 () (@var "Xx56" $$unsorted)) % 34.04/34.37 (define @t101 () (@var "Xx55" $$unsorted)) % 34.04/34.37 (define @t102 () (tptp.member_fails @t101 @t100)) % 34.04/34.37 (define @t103 () (tptp.member_succeeds @t101 @t100)) % 34.04/34.37 (define @t104 () (@list @t101 @t100)) % 34.04/34.37 (define @t105 () (@var "Xx57" $$unsorted)) % 34.04/34.37 (define @t106 () (tptp.list_fails @t105)) % 34.04/34.37 (define @t107 () (tptp.list_succeeds @t105)) % 34.04/34.37 (define @t108 () (@list @t105)) % 34.04/34.37 (define @t109 () (@var "Xx58" $$unsorted)) % 34.04/34.37 (define @t110 () (tptp.nat_list_fails @t109)) % 34.04/34.37 (define @t111 () (tptp.nat_list_succeeds @t109)) % 34.04/34.37 (define @t112 () (@list @t109)) % 34.04/34.37 (define @t113 () (@var "Xx61" $$unsorted)) % 34.04/34.37 (define @t114 () (@var "Xx60" $$unsorted)) % 34.04/34.37 (define @t115 () (@var "Xx59" $$unsorted)) % 34.04/34.37 (define @t116 () (tptp.times_fails @t115 @t114 @t113)) % 34.04/34.37 (define @t117 () (tptp.times_succeeds @t115 @t114 @t113)) % 34.04/34.37 (define @t118 () (@list @t115 @t114 @t113)) % 34.04/34.37 (define @t119 () (@var "Xx64" $$unsorted)) % 34.04/34.37 (define @t120 () (@var "Xx63" $$unsorted)) % 34.04/34.37 (define @t121 () (@var "Xx62" $$unsorted)) % 34.04/34.37 (define @t122 () (tptp.plus_fails @t121 @t120 @t119)) % 34.04/34.37 (define @t123 () (tptp.plus_succeeds @t121 @t120 @t119)) % 34.04/34.37 (define @t124 () (@list @t121 @t120 @t119)) % 34.04/34.37 (define @t125 () (@var "Xx66" $$unsorted)) % 34.04/34.37 (define @t126 () (@var "Xx65" $$unsorted)) % 34.04/34.37 (define @t127 () (|tptp.'@=<_fails'| @t126 @t125)) % 34.04/34.37 (define @t128 () (|tptp.'@=<_succeeds'| @t126 @t125)) % 34.04/34.37 (define @t129 () (@list @t126 @t125)) % 34.04/34.37 (define @t130 () (@var "Xx68" $$unsorted)) % 34.04/34.37 (define @t131 () (@var "Xx67" $$unsorted)) % 34.04/34.37 (define @t132 () (|tptp.'@<_fails'| @t131 @t130)) % 34.04/34.37 (define @t133 () (|tptp.'@<_succeeds'| @t131 @t130)) % 34.04/34.37 (define @t134 () (@list @t131 @t130)) % 34.04/34.37 (define @t135 () (@var "Xx69" $$unsorted)) % 34.04/34.37 (define @t136 () (tptp.nat_fails @t135)) % 34.04/34.37 (define @t137 () (tptp.nat_succeeds @t135)) % 34.04/34.37 (define @t138 () (@list @t135)) % 34.04/34.37 (define @t139 () (@var "Xx71" $$unsorted)) % 34.04/34.37 (define @t140 () (@var "Xx70" $$unsorted)) % 34.04/34.37 (define @t141 () (|tptp.'=<_fails'| @t140 @t139)) % 34.04/34.37 (define @t142 () (|tptp.'=<_succeeds'| @t140 @t139)) % 34.04/34.37 (define @t143 () (@list @t140 @t139)) % 34.04/34.37 (define @t144 () (@var "Xx72" $$unsorted)) % 34.04/34.37 (define @t145 () (tptp.integer_fails @t144)) % 34.04/34.37 (define @t146 () (tptp.integer_succeeds @t144)) % 34.04/34.37 (define @t147 () (@list @t144)) % 34.04/34.37 (define @t148 () (@var "Xx74" $$unsorted)) % 34.04/34.37 (define @t149 () (@var "Xx73" $$unsorted)) % 34.04/34.37 (define @t150 () (|tptp.'=<_fails'| @t149 @t148)) % 34.04/34.37 (define @t151 () (|tptp.'=<_succeeds'| @t149 @t148)) % 34.04/34.37 (define @t152 () (@list @t149 @t148)) % 34.04/34.37 (define @t153 () (@var "Xx76" $$unsorted)) % 34.04/34.37 (define @t154 () (@var "Xx75" $$unsorted)) % 34.04/34.37 (define @t155 () (|tptp.'=<_fails'| @t154 @t153)) % 34.04/34.37 (define @t156 () (|tptp.'=<_succeeds'| @t154 @t153)) % 34.04/34.37 (define @t157 () (@list @t154 @t153)) % 34.04/34.37 (define @t158 () (@var "Xx1" $$unsorted)) % 34.04/34.37 (define @t159 () (= @t158 tptp.nil)) % 34.04/34.37 (define @t160 () (= @t158 (tptp.cons @t3 tptp.nil))) % 34.04/34.37 (define @t161 () (@list @t3)) % 34.04/34.37 (define @t162 () (tptp.cons @t1 @t4)) % 34.04/34.37 (define @t163 () (@var "Xx2" $$unsorted)) % 34.04/34.37 (define @t164 () (= @t158 (tptp.cons @t163 @t162))) % 34.04/34.37 (define @t165 () (@list @t163 @t1 @t4)) % 34.04/34.37 (define @t166 () (@list @t158)) % 34.04/34.37 (define @t167 () (not @t159)) % 34.04/34.37 (define @t168 () (|tptp.'=<_fails'| @t163 @t1)) % 34.04/34.37 (define @t169 () (not @t164)) % 34.04/34.37 (define @t170 () (forall @t161 true)) % 34.04/34.37 (define @t171 () (= @t158 (tptp.cons @t163 @t1))) % 34.04/34.37 (define @t172 () (@list @t163 @t1)) % 34.04/34.37 (define @t173 () (tptp.integer_fails @t163)) % 34.04/34.37 (define @t174 () (not @t171)) % 34.04/34.37 (define @t175 () (= @t1 @t163)) % 34.04/34.37 (define @t176 () (and @t159 @t175)) % 34.04/34.37 (define @t177 () (= @t1 @t158)) % 34.04/34.37 (define @t178 () (= @t163 tptp.nil)) % 34.04/34.37 (define @t179 () (= @t22 @t13)) % 34.04/34.37 (define @t180 () (= @t1 @t23)) % 34.04/34.37 (define @t181 () (= @t163 @t18)) % 34.04/34.37 (define @t182 () (= @t158 @t14)) % 34.04/34.37 (define @t183 () (@list @t13 @t12 @t17 @t16 @t22 @t20)) % 34.04/34.37 (define @t184 () (= @t11 @t8)) % 34.04/34.37 (define @t185 () (= @t1 (tptp.cons @t11 @t15))) % 34.04/34.37 (define @t186 () (= @t163 (tptp.cons @t8 @t7))) % 34.04/34.37 (define @t187 () (= @t158 @t5)) % 34.04/34.37 (define @t188 () (@list @t4 @t3 @t8 @t7 @t11 @t15)) % 34.04/34.37 (define @t189 () (@list @t158 @t163 @t1)) % 34.04/34.37 (define @t190 () (not @t175)) % 34.04/34.37 (define @t191 () (or @t167 @t190)) % 34.04/34.37 (define @t192 () (not @t178)) % 34.04/34.37 (define @t193 () (not @t179)) % 34.04/34.37 (define @t194 () (|tptp.'=<_fails'| @t13 @t17)) % 34.04/34.37 (define @t195 () (not @t180)) % 34.04/34.37 (define @t196 () (not @t181)) % 34.04/34.37 (define @t197 () (not @t182)) % 34.04/34.37 (define @t198 () (not @t184)) % 34.04/34.37 (define @t199 () (|tptp.'=<_succeeds'| @t4 @t8)) % 34.04/34.37 (define @t200 () (not @t185)) % 34.04/34.37 (define @t201 () (not @t186)) % 34.04/34.37 (define @t202 () (not @t187)) % 34.04/34.37 (define @t203 () (or @t167 true)) % 34.04/34.37 (define @t204 () (or @t192 true)) % 34.04/34.37 (define @t205 () (tptp.gr @t4)) % 34.04/34.37 (define @t206 () (= @t1 tptp.nil)) % 34.04/34.37 (define @t207 () (tptp.cons @t4 @t8)) % 34.04/34.37 (define @t208 () (= @t163 @t207)) % 34.04/34.37 (define @t209 () (@list @t4 @t3 @t8)) % 34.04/34.37 (define @t210 () (not @t208)) % 34.04/34.37 (define @t211 () (and @t159 @t178)) % 34.04/34.37 (define @t212 () (tptp.cons @t13 tptp.nil)) % 34.04/34.37 (define @t213 () (= @t163 @t212)) % 34.04/34.37 (define @t214 () (= @t158 @t212)) % 34.04/34.37 (define @t215 () (@list @t13)) % 34.04/34.37 (define @t216 () (tptp.cons @t1 @t5)) % 34.04/34.37 (define @t217 () (= @t158 @t216)) % 34.04/34.37 (define @t218 () (@list @t1 @t4 @t3 @t8 @t7 @t11 @t15)) % 34.04/34.37 (define @t219 () (@list @t158 @t163)) % 34.04/34.37 (define @t220 () (or @t167 @t192)) % 34.04/34.37 (define @t221 () (not @t214)) % 34.04/34.37 (define @t222 () (tptp.mergesort_fails @t7 @t15)) % 34.04/34.37 (define @t223 () (tptp.mergesort_fails @t8 @t11)) % 34.04/34.37 (define @t224 () (tptp.split_fails @t216 @t8 @t7)) % 34.04/34.37 (define @t225 () (not @t217)) % 34.04/34.37 (define @t226 () (tptp.member_succeeds @t158 @t163)) % 34.04/34.37 (define @t227 () (tptp.member_fails @t158 @t163)) % 34.04/34.37 (define @t228 () (tptp.member_terminates @t158 @t163)) % 34.04/34.37 (define @t229 () (= @t1 |tptp.'0'|)) % 34.04/34.37 (define @t230 () (= @t1 @t9)) % 34.04/34.37 (define @t231 () (= @t163 (tptp.cons @t158 @t8))) % 34.04/34.37 (define @t232 () (= @t158 @t4)) % 34.04/34.37 (define @t233 () (= @t163 @t5)) % 34.04/34.37 (define @t234 () (not @t229)) % 34.04/34.37 (define @t235 () (not @t230)) % 34.04/34.37 (define @t236 () (not @t231)) % 34.04/34.37 (define @t237 () (not @t233)) % 34.04/34.37 (define @t238 () (tptp.gr @t158)) % 34.04/34.37 (define @t239 () (= @t4 @t3)) % 34.04/34.37 (define @t240 () (@list @t1 @t4 @t3)) % 34.04/34.37 (define @t241 () (tptp.not_same_occ_succeeds @t158 @t163)) % 34.04/34.37 (define @t242 () (tptp.occ_fails @t1 @t163 @t3)) % 34.04/34.37 (define @t243 () (tptp.occ_fails @t1 @t158 @t4)) % 34.04/34.37 (define @t244 () (tptp.member2_fails @t1 @t158 @t163)) % 34.04/34.37 (define @t245 () (tptp.not_same_occ_fails @t158 @t163)) % 34.04/34.37 (define @t246 () (tptp.not_same_occ_terminates @t158 @t163)) % 34.04/34.37 (define @t247 () (= @t163 @t162)) % 34.04/34.37 (define @t248 () (tptp.delete_fails @t1 @t158 @t3)) % 34.04/34.37 (define @t249 () (not @t247)) % 34.04/34.37 (define @t250 () (= @t163 (tptp.cons @t158 @t1))) % 34.04/34.37 (define @t251 () (= @t1 @t207)) % 34.04/34.37 (define @t252 () (not @t251)) % 34.04/34.37 (define @t253 () (= @t163 |tptp.'0'|)) % 34.04/34.37 (define @t254 () (tptp.s @t3)) % 34.04/34.37 (define @t255 () (= @t163 @t254)) % 34.04/34.37 (define @t256 () (= @t158 @t162)) % 34.04/34.37 (define @t257 () (not @t255)) % 34.04/34.37 (define @t258 () (not @t256)) % 34.04/34.37 (define @t259 () (= @t163 (tptp.cons @t158 @t3))) % 34.04/34.37 (define @t260 () (@list @t1 @t4)) % 34.04/34.37 (define @t261 () (tptp.nat_succeeds @t163)) % 34.04/34.37 (define @t262 () (tptp.nat_fails @t163)) % 34.04/34.37 (define @t263 () (tptp.nat_terminates @t163)) % 34.04/34.37 (define @t264 () (= @t158 |tptp.'0'|)) % 34.04/34.37 (define @t265 () (tptp.s @t4)) % 34.04/34.37 (define @t266 () (= @t158 @t265)) % 34.04/34.37 (define @t267 () (not @t264)) % 34.04/34.37 (define @t268 () (tptp.times_fails @t4 @t163 @t3)) % 34.04/34.37 (define @t269 () (not @t266)) % 34.04/34.37 (define @t270 () (or @t267 true)) % 34.04/34.37 (define @t271 () (= @t1 @t254)) % 34.04/34.37 (define @t272 () (not @t271)) % 34.04/34.37 (define @t273 () (= @t163 @t265)) % 34.04/34.37 (define @t274 () (= @t158 @t2)) % 34.04/34.37 (define @t275 () (not @t273)) % 34.04/34.37 (define @t276 () (not @t274)) % 34.04/34.37 (define @t277 () (= @t158 (tptp.s @t163))) % 34.04/34.37 (define @t278 () (@list @t163)) % 34.04/34.37 (define @t279 () (tptp.nat_succeeds @t158)) % 34.04/34.37 (define @t280 () (not @t277)) % 34.04/34.37 (define @t281 () (@var "Xx78" $$unsorted)) % 34.04/34.37 (define @t282 () (@var "Xx77" $$unsorted)) % 34.04/34.37 (define @t283 () (@var "Xx80" $$unsorted)) % 34.04/34.37 (define @t284 () (@var "Xx79" $$unsorted)) % 34.04/34.37 (define @t285 () (@var "Xx82" $$unsorted)) % 34.04/34.37 (define @t286 () (@var "Xx81" $$unsorted)) % 34.04/34.37 (define @t287 () (@var "Xx83" $$unsorted)) % 34.04/34.37 (define @t288 () (@var "Xx84" $$unsorted)) % 34.04/34.37 (define @t289 () (@var "Xx85" $$unsorted)) % 34.04/34.37 (define @t290 () (@var "Xx87" $$unsorted)) % 34.04/34.37 (define @t291 () (@var "Xx86" $$unsorted)) % 34.04/34.37 (define @t292 () (@var "Xx89" $$unsorted)) % 34.04/34.37 (define @t293 () (@var "Xx88" $$unsorted)) % 34.04/34.37 (define @t294 () (@var "Xx91" $$unsorted)) % 34.04/34.37 (define @t295 () (@var "Xx90" $$unsorted)) % 34.04/34.37 (define @t296 () (@var "Xx93" $$unsorted)) % 34.04/34.37 (define @t297 () (@var "Xx92" $$unsorted)) % 34.04/34.37 (define @t298 () (@var "Xx95" $$unsorted)) % 34.04/34.37 (define @t299 () (@var "Xx94" $$unsorted)) % 34.04/34.37 (define @t300 () (@var "Xx97" $$unsorted)) % 34.04/34.37 (define @t301 () (@var "Xx96" $$unsorted)) % 34.04/34.37 (define @t302 () (@var "Xx" $$unsorted)) % 34.04/34.37 (define @t303 () (tptp.nat_succeeds @t302)) % 34.04/34.37 (define @t304 () (@list @t302)) % 34.04/34.37 (define @t305 () (tptp.gr @t302)) % 34.04/34.37 (define @t306 () (@var "Xz" $$unsorted)) % 34.04/34.37 (define @t307 () (@var "Xy" $$unsorted)) % 34.04/34.37 (define @t308 () (tptp.plus_terminates @t302 @t307 @t306)) % 34.04/34.37 (define @t309 () (@list @t302 @t307 @t306)) % 34.04/34.37 (define @t310 () (tptp.nat_succeeds @t306)) % 34.04/34.37 (define @t311 () (tptp.plus_succeeds @t302 @t307 @t306)) % 34.04/34.37 (define @t312 () (tptp.nat_succeeds @t307)) % 34.04/34.37 (define @t313 () (tptp.gr @t306)) % 34.04/34.37 (define @t314 () (tptp.gr @t307)) % 34.04/34.37 (define @t315 () (@list @t306)) % 34.04/34.37 (define @t316 () (@list @t302 @t307)) % 34.04/34.37 (define @t317 () (@var "Xz2" $$unsorted)) % 34.04/34.37 (define @t318 () (@var "Xz1" $$unsorted)) % 34.04/34.37 (define @t319 () (= @t318 @t317)) % 34.04/34.37 (define @t320 () (@list @t302 @t307 @t318 @t317)) % 34.04/34.37 (define @t321 () (|tptp.'@+'| |tptp.'0'| @t307)) % 34.04/34.37 (define @t322 () (@list @t307)) % 34.04/34.37 (define @t323 () (forall @t322 (= @t321 @t307))) % 34.04/34.37 (define @t324 () (|tptp.'@+'| @t302 @t307)) % 34.04/34.37 (define @t325 () (tptp.s @t302)) % 34.04/34.37 (define @t326 () (|tptp.'@+'| @t325 @t307)) % 34.04/34.37 (define @t327 () (= @t326 (tptp.s @t324))) % 34.04/34.37 (define @t328 () (forall @t316 (=> @t303 @t327))) % 34.04/34.37 (define @t329 () (and @t303 @t312)) % 34.04/34.37 (define @t330 () (|tptp.'@+'| @t307 @t306)) % 34.04/34.37 (define @t331 () (and @t303 @t312 @t310)) % 34.04/34.37 (define @t332 () (tptp.s @t307)) % 34.04/34.37 (define @t333 () (|tptp.'@+'| @t302 @t332)) % 34.04/34.37 (define @t334 () (|tptp.'@+'| @t307 @t302)) % 34.04/34.37 (define @t335 () (= @t324 @t334)) % 34.04/34.37 (define @t336 () (forall @t316 (=> @t329 @t335))) % 34.04/34.37 (define @t337 () (|tptp.'@+'| @t302 @t306)) % 34.04/34.37 (define @t338 () (tptp.times_succeeds @t302 @t307 @t306)) % 34.04/34.37 (define @t339 () (|tptp.'@*'| @t302 @t307)) % 34.04/34.37 (define @t340 () (|tptp.'@*'| @t325 @t307)) % 34.04/34.37 (define @t341 () (|tptp.'@*'| @t307 @t306)) % 34.04/34.37 (define @t342 () (|tptp.'@*'| @t302 @t306)) % 34.04/34.37 (define @t343 () (|tptp.'@*'| @t307 @t302)) % 34.04/34.37 (define @t344 () (tptp.s |tptp.'0'|)) % 34.04/34.37 (define @t345 () (|tptp.'@<_terminates'| @t302 @t307)) % 34.04/34.37 (define @t346 () (|tptp.'@<_succeeds'| @t302 @t307)) % 34.04/34.37 (define @t347 () (tptp.s @t306)) % 34.04/34.37 (define @t348 () (|tptp.'@<_succeeds'| @t302 @t306)) % 34.04/34.37 (define @t349 () (|tptp.'@<_succeeds'| @t302 @t332)) % 34.04/34.37 (define @t350 () (|tptp.'@<_succeeds'| @t307 @t306)) % 34.04/34.37 (define @t351 () (= @t302 @t307)) % 34.04/34.37 (define @t352 () (or @t346 @t351)) % 34.04/34.37 (define @t353 () (not (= @t302 |tptp.'0'|))) % 34.04/34.37 (define @t354 () (|tptp.'@=<_succeeds'| @t302 @t307)) % 34.04/34.37 (define @t355 () (|tptp.'@=<_succeeds'| @t307 @t302)) % 34.04/34.37 (define @t356 () (|tptp.'@=<_succeeds'| @t307 @t306)) % 34.04/34.37 (define @t357 () (|tptp.'@<_succeeds'| @t324 @t337)) % 34.04/34.37 (define @t358 () (|tptp.'@<_succeeds'| @t337 @t330)) % 34.04/34.37 (define @t359 () (|tptp.'@=<_succeeds'| @t324 @t337)) % 34.04/34.37 (define @t360 () (and @t354 @t312 @t310)) % 34.04/34.37 (define @t361 () (@var "Xy2" $$unsorted)) % 34.04/34.37 (define @t362 () (@var "Xy1" $$unsorted)) % 34.04/34.37 (define @t363 () (|tptp.'@+'| @t362 @t361)) % 34.04/34.37 (define @t364 () (|tptp.'@+'| @t158 @t163)) % 34.04/34.37 (define @t365 () (tptp.nat_succeeds @t362)) % 34.04/34.37 (define @t366 () (|tptp.'@=<_succeeds'| @t163 @t361)) % 34.04/34.37 (define @t367 () (|tptp.'@=<_succeeds'| @t158 @t362)) % 34.04/34.37 (define @t368 () (@list @t158 @t163 @t362 @t361)) % 34.04/34.37 (define @t369 () (|tptp.'@<_succeeds'| @t364 @t363)) % 34.04/34.37 (define @t370 () (|tptp.'@<_succeeds'| @t158 @t362)) % 34.04/34.37 (define @t371 () (|tptp.'@<_succeeds'| @t163 @t361)) % 34.04/34.37 (define @t372 () (@var "Xl" $$unsorted)) % 34.04/34.37 (define @t373 () (tptp.list_succeeds @t372)) % 34.04/34.37 (define @t374 () (tptp.cons @t302 @t372)) % 34.04/34.37 (define @t375 () (@list @t302 @t372)) % 34.04/34.37 (define @t376 () (@list @t372)) % 34.04/34.37 (define @t377 () (tptp.member_fails @t302 @t372)) % 34.04/34.37 (define @t378 () (tptp.member_succeeds @t302 @t372)) % 34.04/34.37 (define @t379 () (tptp.gr @t372)) % 34.04/34.37 (define @t380 () (not @t351)) % 34.04/34.37 (define @t381 () (tptp.cons @t307 @t372)) % 34.04/34.37 (define @t382 () (@var "Xl1" $$unsorted)) % 34.04/34.37 (define @t383 () (tptp.list_succeeds @t382)) % 34.04/34.37 (define @t384 () (@var "Xl3" $$unsorted)) % 34.04/34.37 (define @t385 () (@var "Xl2" $$unsorted)) % 34.04/34.37 (define @t386 () (tptp.append_succeeds @t382 @t385 @t384)) % 34.04/34.37 (define @t387 () (@list @t382 @t385 @t384)) % 34.04/34.37 (define @t388 () (tptp.list_succeeds @t384)) % 34.04/34.37 (define @t389 () (tptp.list_succeeds @t385)) % 34.04/34.37 (define @t390 () (and @t386 @t388)) % 34.04/34.37 (define @t391 () (and @t383 @t389)) % 34.04/34.37 (define @t392 () (tptp.append_terminates @t382 @t385 @t384)) % 34.04/34.37 (define @t393 () (tptp.gr @t384)) % 34.04/34.37 (define @t394 () (tptp.gr @t385)) % 34.04/34.37 (define @t395 () (tptp.gr @t382)) % 34.04/34.37 (define @t396 () (and @t395 @t394)) % 34.04/34.37 (define @t397 () (@list @t382 @t385)) % 34.04/34.37 (define @t398 () (@var "Xl4" $$unsorted)) % 34.04/34.37 (define @t399 () (@list @t382 @t385 @t384 @t398)) % 34.04/34.37 (define @t400 () (|tptp.'**'| @t382 @t385)) % 34.04/34.37 (define @t401 () (tptp.cons @t302 @t382)) % 34.04/34.37 (define @t402 () (@list @t302 @t382 @t385)) % 34.04/34.37 (define @t403 () (tptp.list_succeeds @t400)) % 34.04/34.37 (define @t404 () (tptp.gr @t400)) % 34.04/34.37 (define @t405 () (|tptp.'**'| @t385 @t384)) % 34.04/34.37 (define @t406 () (@var "Xn" $$unsorted)) % 34.04/34.37 (define @t407 () (tptp.nat_succeeds @t406)) % 34.04/34.37 (define @t408 () (and @t373 @t407)) % 34.04/34.37 (define @t409 () (tptp.length_succeeds @t372 @t406)) % 34.04/34.37 (define @t410 () (@list @t372 @t406)) % 34.04/34.37 (define @t411 () (tptp.gr @t406)) % 34.04/34.37 (define @t412 () (@list @t406)) % 34.04/34.37 (define @t413 () (@var "Xm" $$unsorted)) % 34.04/34.37 (define @t414 () (= @t413 @t406)) % 34.04/34.37 (define @t415 () (tptp.lh tptp.nil)) % 34.04/34.37 (define @t416 () (tptp.lh @t372)) % 34.04/34.37 (define @t417 () (tptp.lh @t374)) % 34.04/34.37 (define @t418 () (= @t417 (tptp.s @t416))) % 34.04/34.37 (define @t419 () (forall @t375 (=> @t373 @t418))) % 34.04/34.37 (define @t420 () (tptp.nat_succeeds @t416)) % 34.04/34.37 (define @t421 () (forall @t376 (=> @t373 @t420))) % 34.04/34.37 (define @t422 () (= @t372 tptp.nil)) % 34.04/34.37 (define @t423 () (tptp.cons @t302 @t385)) % 34.04/34.37 (define @t424 () (tptp.s @t406)) % 34.04/34.37 (define @t425 () (tptp.lh @t382)) % 34.04/34.37 (define @t426 () (tptp.lh @t385)) % 34.04/34.37 (define @t427 () (|tptp.'@+'| @t425 @t426)) % 34.04/34.37 (define @t428 () (tptp.lh @t400)) % 34.04/34.37 (define @t429 () (tptp.lh @t384)) % 34.04/34.37 (define @t430 () (@var "Xi" $$unsorted)) % 34.04/34.37 (define @t431 () (tptp.cons @t302 @t430)) % 34.04/34.37 (define @t432 () (@var "Xk" $$unsorted)) % 34.04/34.37 (define @t433 () (@var "Xj" $$unsorted)) % 34.04/34.37 (define @t434 () (tptp.sub @t430 @t433)) % 34.04/34.37 (define @t435 () (@list @t302 @t430 @t433)) % 34.04/34.37 (define @t436 () (tptp.append_succeeds @t382 @t423 @t384)) % 34.04/34.37 (define @t437 () (tptp.member_succeeds @t302 @t384)) % 34.04/34.37 (define @t438 () (tptp.member_succeeds @t302 @t382)) % 34.04/34.37 (define @t439 () (@list @t302 @t382 @t385 @t384)) % 34.04/34.37 (define @t440 () (tptp.member_succeeds @t302 @t385)) % 34.04/34.37 (define @t441 () (tptp.member_succeeds @t302 @t400)) % 34.04/34.37 (define @t442 () (or @t438 @t440)) % 34.04/34.37 (define @t443 () (= @t382 tptp.nil)) % 34.04/34.37 (define @t444 () (tptp.nat_list_succeeds @t372)) % 34.04/34.37 (define @t445 () (|tptp.'@<_succeeds'| @t427 @t406)) % 34.04/34.37 (define @t446 () (tptp.delete_terminates @t302 @t382 @t385)) % 34.04/34.37 (define @t447 () (tptp.delete_succeeds @t302 @t382 @t385)) % 34.04/34.37 (define @t448 () (and @t447 @t383)) % 34.04/34.37 (define @t449 () (|tptp.'**'| @t384 @t398)) % 34.04/34.37 (define @t450 () (tptp.nat_list_succeeds @t385)) % 34.04/34.37 (define @t451 () (tptp.nat_list_succeeds @t382)) % 34.04/34.37 (define @t452 () (tptp.member_succeeds @t307 @t385)) % 34.04/34.37 (define @t453 () (tptp.member_succeeds @t307 @t382)) % 34.04/34.37 (define @t454 () (@list @t302 @t307 @t382 @t385)) % 34.04/34.37 (define @t455 () (@list @t385)) % 34.04/34.37 (define @t456 () (exists @t455 @t447)) % 34.04/34.37 (define @t457 () (tptp.permutation_succeeds @t382 @t385)) % 34.04/34.37 (define @t458 () (tptp.permutation_terminates @t382 @t385)) % 34.04/34.37 (define @t459 () (@list @t302 @t372 @t406)) % 34.04/34.37 (define @t460 () (tptp.occ_succeeds @t302 @t372 @t406)) % 34.04/34.37 (define @t461 () (and @t383 @t389 @t395 @t394)) % 34.04/34.37 (define @t462 () (tptp.occ_succeeds @t302 @t372 @t413)) % 34.04/34.37 (define @t463 () (tptp.occ @t302 @t372)) % 34.04/34.37 (define @t464 () (tptp.occ @t302 @t385)) % 34.04/34.37 (define @t465 () (tptp.occ @t302 @t382)) % 34.04/34.37 (define @t466 () (forall @t304 (= @t465 @t464))) % 34.04/34.37 (define @t467 () (tptp.same_occ_succeeds @t382 @t385)) % 34.04/34.37 (define @t468 () (= @t463 |tptp.'0'|)) % 34.04/34.37 (define @t469 () (and @t383 @t389 @t467)) % 34.04/34.37 (define @t470 () (tptp.permutation_succeeds @t382 @t384)) % 34.04/34.37 (define @t471 () (= @t463 @t424)) % 34.04/34.37 (define @t472 () (tptp.integer_succeeds @t307)) % 34.04/34.37 (define @t473 () (tptp.integer_succeeds @t302)) % 34.04/34.37 (define @t474 () (and @t383 @t389 @t388)) % 34.04/34.37 (define @t475 () (tptp.split_succeeds @t382 @t385 @t384)) % 34.04/34.37 (define @t476 () (forall @t387 (=> @t475 @t474))) % 34.04/34.37 (define @t477 () (= @t425 (|tptp.'@+'| @t426 @t429))) % 34.04/34.37 (define @t478 () (forall @t387 (=> @t475 @t477))) % 34.04/34.37 (define @t479 () (and @t443 (= @t385 tptp.nil) (= @t384 tptp.nil))) % 34.04/34.37 (define @t480 () (= (tptp.lh @t3) (|tptp.'@+'| @t429 (tptp.lh @t8)))) % 34.04/34.37 (define @t481 () (tptp.split_succeeds @t3 @t384 @t8)) % 34.04/34.37 (define @t482 () (and (= @t382 @t5) (= @t385 @t207) @t481 @t480)) % 34.04/34.37 (define @t483 () (exists @t209 @t482)) % 34.04/34.37 (define @t484 () (or @t483 @t479)) % 34.04/34.37 (define @t485 () (=> @t484 @t477)) % 34.04/34.37 (define @t486 () (forall @t387 @t485)) % 34.04/34.37 (define @t487 () (=> @t486 @t478)) % 34.04/34.37 (define @t488 () (not @t478)) % 34.04/34.37 (define @t489 () (= tptp.nil @t384)) % 34.04/34.37 (define @t490 () (not @t489)) % 34.04/34.37 (define @t491 () (= tptp.nil @t385)) % 34.04/34.37 (define @t492 () (not @t491)) % 34.04/34.37 (define @t493 () (= tptp.nil @t382)) % 34.04/34.37 (define @t494 () (not @t493)) % 34.04/34.37 (define @t495 () (or @t494 @t492 @t490)) % 34.04/34.37 (define @t496 () (@var "BOUND_VARIABLE_11702" $$unsorted)) % 34.04/34.37 (define @t497 () (@var "BOUND_VARIABLE_11700" $$unsorted)) % 34.04/34.37 (define @t498 () (not (= (tptp.lh @t497) (|tptp.'@+'| @t429 (tptp.lh @t496))))) % 34.04/34.37 (define @t499 () (not (tptp.split_succeeds @t497 @t384 @t496))) % 34.04/34.37 (define @t500 () (@var "BOUND_VARIABLE_11698" $$unsorted)) % 34.04/34.37 (define @t501 () (tptp.cons @t500 @t496)) % 34.04/34.37 (define @t502 () (not (= @t501 @t385))) % 34.04/34.37 (define @t503 () (tptp.cons @t500 @t497)) % 34.04/34.37 (define @t504 () (not (= @t503 @t382))) % 34.04/34.37 (define @t505 () (or @t504 @t502 @t499 @t498)) % 34.04/34.37 (define @t506 () (and @t505 @t495)) % 34.04/34.37 (define @t507 () (or @t506 @t477)) % 34.04/34.37 (define @t508 () (@list @t382 @t385 @t384 @t500 @t497 @t496)) % 34.04/34.37 (define @t509 () (forall @t508 @t507)) % 34.04/34.37 (define @t510 () (@list @t500 @t497 @t496)) % 34.04/34.37 (define @t511 () (forall @t510 @t507)) % 34.04/34.37 (define @t512 () (forall @t510 @t495)) % 34.04/34.37 (define @t513 () (forall @t510 @t505)) % 34.04/34.37 (define @t514 () (and @t513 @t512)) % 34.04/34.37 (define @t515 () (forall @t510 @t506)) % 34.04/34.37 (define @t516 () (or @t515 @t477)) % 34.04/34.37 (define @t517 () (not @t480)) % 34.04/34.37 (define @t518 () (not @t481)) % 34.04/34.37 (define @t519 () (= @t207 @t385)) % 34.04/34.37 (define @t520 () (not @t519)) % 34.04/34.37 (define @t521 () (= @t5 @t382)) % 34.04/34.37 (define @t522 () (not @t521)) % 34.04/34.37 (define @t523 () (or @t522 @t520 @t518 @t517)) % 34.04/34.37 (define @t524 () (forall @t209 @t523)) % 34.04/34.37 (define @t525 () (and @t493 @t491 @t489)) % 34.04/34.37 (define @t526 () (not @t525)) % 34.04/34.37 (define @t527 () (not @t524)) % 34.04/34.37 (define @t528 () (or @t527 @t525)) % 34.04/34.37 (define @t529 () (and @t521 @t519 @t481 @t480)) % 34.04/34.37 (define @t530 () (forall @t209 (not @t529))) % 34.04/34.37 (define @t531 () (not @t530)) % 34.04/34.37 (define @t532 () (forall @t508 (or (and (or (not (= @t382 @t503)) (not (= @t385 @t501)) @t499 @t498) @t495) @t477))) % 34.04/34.37 (define @t533 () (not @t532)) % 34.04/34.37 (define @t534 () (forall @t387 (or (not @t475) @t477))) % 34.04/34.37 (define @t535 () (@list true)) % 34.04/34.37 (define @t536 () (@quantifiers_skolemize @t532 2)) % 34.04/34.37 (define @t537 () (tptp.lh @t536)) % 34.04/34.37 (define @t538 () (@quantifiers_skolemize @t532 1)) % 34.04/34.37 (define @t539 () (tptp.lh @t538)) % 34.04/34.37 (define @t540 () (@quantifiers_skolemize @t532 0)) % 34.04/34.37 (define @t541 () (tptp.lh @t540)) % 34.04/34.37 (define @t542 () (= @t541 (|tptp.'@+'| @t539 @t537))) % 34.04/34.37 (define @t543 () (= tptp.nil @t536)) % 34.04/34.37 (define @t544 () (not @t543)) % 34.04/34.37 (define @t545 () (= tptp.nil @t538)) % 34.04/34.37 (define @t546 () (not @t545)) % 34.04/34.37 (define @t547 () (= tptp.nil @t540)) % 34.04/34.37 (define @t548 () (not @t547)) % 34.04/34.37 (define @t549 () (or @t548 @t546 @t544)) % 34.04/34.37 (define @t550 () (@quantifiers_skolemize @t532 5)) % 34.04/34.37 (define @t551 () (tptp.lh @t550)) % 34.04/34.37 (define @t552 () (|tptp.'@+'| @t537 @t551)) % 34.04/34.37 (define @t553 () (@quantifiers_skolemize @t532 4)) % 34.04/34.37 (define @t554 () (tptp.lh @t553)) % 34.04/34.37 (define @t555 () (= @t554 @t552)) % 34.04/34.37 (define @t556 () (not @t555)) % 34.04/34.37 (define @t557 () (tptp.split_succeeds @t553 @t536 @t550)) % 34.04/34.37 (define @t558 () (not @t557)) % 34.04/34.37 (define @t559 () (@quantifiers_skolemize @t532 3)) % 34.04/34.37 (define @t560 () (tptp.cons @t559 @t550)) % 34.04/34.37 (define @t561 () (= @t538 @t560)) % 34.04/34.37 (define @t562 () (not @t561)) % 34.04/34.37 (define @t563 () (tptp.cons @t559 @t553)) % 34.04/34.37 (define @t564 () (= @t540 @t563)) % 34.04/34.37 (define @t565 () (not @t564)) % 34.04/34.37 (define @t566 () (or @t565 @t562 @t558 @t556)) % 34.04/34.37 (define @t567 () (and @t566 @t549)) % 34.04/34.37 (define @t568 () (or @t567 @t542)) % 34.04/34.37 (define @t569 () (not @t542)) % 34.04/34.37 (define @t570 () (@list @t568)) % 34.04/34.37 (define @t571 () (@list @t559 @t553)) % 34.04/34.37 (define @t572 () (= tptp.nil @t563)) % 34.04/34.37 (define @t573 () (not @t572)) % 34.04/34.37 (define @t574 () (and @t564 @t573)) % 34.04/34.37 (define @t575 () (tptp.list_succeeds @t550)) % 34.04/34.37 (define @t576 () (tptp.list_succeeds @t536)) % 34.04/34.37 (define @t577 () (tptp.list_succeeds @t553)) % 34.04/34.37 (define @t578 () (and @t577 @t576 @t575)) % 34.04/34.37 (define @t579 () (or @t558 @t578)) % 34.04/34.37 (define @t580 () (not @t578)) % 34.04/34.37 (define @t581 () (tptp.s @t554)) % 34.04/34.37 (define @t582 () (= (tptp.lh @t563) @t581)) % 34.04/34.37 (define @t583 () (not @t577)) % 34.04/34.37 (define @t584 () (or @t583 @t582)) % 34.04/34.37 (define @t585 () (tptp.nat_succeeds @t537)) % 34.04/34.37 (define @t586 () (not @t576)) % 34.04/34.37 (define @t587 () (or @t586 @t585)) % 34.04/34.37 (define @t588 () (tptp.s @t551)) % 34.04/34.37 (define @t589 () (tptp.lh @t560)) % 34.04/34.37 (define @t590 () (= @t589 @t588)) % 34.04/34.37 (define @t591 () (not @t575)) % 34.04/34.37 (define @t592 () (or @t591 @t590)) % 34.04/34.37 (define @t593 () (tptp.nat_succeeds @t551)) % 34.04/34.37 (define @t594 () (or @t591 @t593)) % 34.04/34.37 (define @t595 () (not @t312)) % 34.04/34.37 (define @t596 () (not @t303)) % 34.04/34.37 (define @t597 () (|tptp.'@+'| @t551 @t537)) % 34.04/34.37 (define @t598 () (= @t552 @t597)) % 34.04/34.37 (define @t599 () (not @t593)) % 34.04/34.37 (define @t600 () (not @t585)) % 34.04/34.37 (define @t601 () (or @t600 @t599 @t598)) % 34.04/34.37 (define @t602 () (|tptp.'@+'| @t588 @t537)) % 34.04/34.37 (define @t603 () (= @t602 (tptp.s @t597))) % 34.04/34.37 (define @t604 () (or @t599 @t603)) % 34.04/34.37 (define @t605 () (and @t564 @t561 @t555 @t598 @t582 @t590 @t603)) % 34.04/34.37 (define @t606 () (@list @t549)) % 34.04/34.37 (define @t607 () (= @t307 @t321)) % 34.04/34.37 (define @t608 () (|tptp.'@+'| @t415 @t537)) % 34.04/34.37 (define @t609 () (= @t537 @t608)) % 34.04/34.37 (define @t610 () (not @t609)) % 34.04/34.37 (define @t611 () (and @t610 @t609)) % 34.04/34.37 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 34.04/34.37 (assume @p2 (not (= |tptp.'0'| tptp.nil))) % 34.04/34.37 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 34.04/34.37 (assume @p4 (forall @t10 (=> (= (tptp.s @t8) @t9) (= @t8 @t7)))) % 34.04/34.37 (assume @p5 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 34.04/34.37 (assume @p6 (forall (@list @t15 @t13 @t12) (not (= (tptp.s @t15) @t14)))) % 34.04/34.37 (assume @p7 (forall (@list @t17 @t16) (not (= tptp.nil @t18)))) % 34.04/34.37 (assume @p8 (forall (@list @t22 @t20 @t21 @t19) (=> (= @t23 (tptp.cons @t21 @t19)) (= @t20 @t19)))) % 34.04/34.37 (assume @p9 (forall (@list @t25 @t27 @t24 @t26) (=> (= (tptp.cons @t25 @t27) (tptp.cons @t24 @t26)) (= @t25 @t24)))) % 34.04/34.37 (assume @p10 (tptp.gr |tptp.'0'|)) % 34.04/34.37 (assume @p11 (forall (@list @t28) (= (tptp.gr @t28) (tptp.gr (tptp.s @t28))))) % 34.04/34.37 (assume @p12 (tptp.gr tptp.nil)) % 34.04/34.37 (assume @p13 (forall (@list @t30 @t29) (= (and (tptp.gr @t30) (tptp.gr @t29)) (tptp.gr (tptp.cons @t30 @t29))))) % 34.04/34.37 (assume @p14 (forall @t34 (not (and @t33 @t32)))) % 34.04/34.37 (assume @p15 (forall @t34 (=> (tptp.int_ordered_terminates @t31) (or @t33 @t32)))) % 34.04/34.37 (assume @p16 (forall @t38 (not (and @t37 @t36)))) % 34.04/34.37 (assume @p17 (forall @t38 (=> (tptp.int_list_terminates @t35) (or @t37 @t36)))) % 34.04/34.37 (assume @p18 (forall @t44 (not (and @t43 @t42)))) % 34.04/34.37 (assume @p19 (forall @t44 (=> (tptp.merge_terminates @t41 @t40 @t39) (or @t43 @t42)))) % 34.04/34.37 (assume @p20 (forall @t50 (not (and @t49 @t48)))) % 34.04/34.37 (assume @p21 (forall @t50 (=> (tptp.split_terminates @t47 @t46 @t45) (or @t49 @t48)))) % 34.04/34.37 (assume @p22 (forall @t55 (not (and @t54 @t53)))) % 34.04/34.37 (assume @p23 (forall @t55 (=> (tptp.mergesort_terminates @t52 @t51) (or @t54 @t53)))) % 34.04/34.37 (assume @p24 (forall @t61 (not (and @t60 @t59)))) % 34.04/34.37 (assume @p25 (forall @t61 (=> (tptp.member2_terminates @t58 @t57 @t56) (or @t60 @t59)))) % 34.04/34.37 (assume @p26 (forall @t67 (not (and @t66 @t65)))) % 34.04/34.37 (assume @p27 (forall @t67 (=> (tptp.occ_terminates @t64 @t63 @t62) (or @t66 @t65)))) % 34.04/34.37 (assume @p28 (forall @t72 (not (and @t71 @t70)))) % 34.04/34.37 (assume @p29 (forall @t72 (=> (tptp.not_same_occ_terminates @t69 @t68) (or @t71 @t70)))) % 34.04/34.37 (assume @p30 (forall @t77 (not (and @t76 @t75)))) % 34.04/34.37 (assume @p31 (forall @t77 (=> (tptp.same_occ_terminates @t74 @t73) (or @t76 @t75)))) % 34.04/34.37 (assume @p32 (forall @t82 (not (and @t81 @t80)))) % 34.04/34.37 (assume @p33 (forall @t82 (=> (tptp.permutation_terminates @t79 @t78) (or @t81 @t80)))) % 34.04/34.37 (assume @p34 (forall @t88 (not (and @t87 @t86)))) % 34.04/34.37 (assume @p35 (forall @t88 (=> (tptp.delete_terminates @t85 @t84 @t83) (or @t87 @t86)))) % 34.04/34.37 (assume @p36 (forall @t93 (not (and @t92 @t91)))) % 34.04/34.37 (assume @p37 (forall @t93 (=> (tptp.length_terminates @t90 @t89) (or @t92 @t91)))) % 34.04/34.37 (assume @p38 (forall @t99 (not (and @t98 @t97)))) % 34.04/34.37 (assume @p39 (forall @t99 (=> (tptp.append_terminates @t96 @t95 @t94) (or @t98 @t97)))) % 34.04/34.37 (assume @p40 (forall @t104 (not (and @t103 @t102)))) % 34.04/34.37 (assume @p41 (forall @t104 (=> (tptp.member_terminates @t101 @t100) (or @t103 @t102)))) % 34.04/34.37 (assume @p42 (forall @t108 (not (and @t107 @t106)))) % 34.04/34.37 (assume @p43 (forall @t108 (=> (tptp.list_terminates @t105) (or @t107 @t106)))) % 34.04/34.37 (assume @p44 (forall @t112 (not (and @t111 @t110)))) % 34.04/34.37 (assume @p45 (forall @t112 (=> (tptp.nat_list_terminates @t109) (or @t111 @t110)))) % 34.04/34.37 (assume @p46 (forall @t118 (not (and @t117 @t116)))) % 34.04/34.37 (assume @p47 (forall @t118 (=> (tptp.times_terminates @t115 @t114 @t113) (or @t117 @t116)))) % 34.04/34.37 (assume @p48 (forall @t124 (not (and @t123 @t122)))) % 34.04/34.37 (assume @p49 (forall @t124 (=> (tptp.plus_terminates @t121 @t120 @t119) (or @t123 @t122)))) % 34.04/34.37 (assume @p50 (forall @t129 (not (and @t128 @t127)))) % 34.04/34.37 (assume @p51 (forall @t129 (=> (|tptp.'@=<_terminates'| @t126 @t125) (or @t128 @t127)))) % 34.04/34.37 (assume @p52 (forall @t134 (not (and @t133 @t132)))) % 34.04/34.37 (assume @p53 (forall @t134 (=> (|tptp.'@<_terminates'| @t131 @t130) (or @t133 @t132)))) % 34.04/34.37 (assume @p54 (forall @t138 (not (and @t137 @t136)))) % 34.04/34.37 (assume @p55 (forall @t138 (=> (tptp.nat_terminates @t135) (or @t137 @t136)))) % 34.04/34.37 (assume @p56 (forall @t143 (not (and @t142 @t141)))) % 34.04/34.37 (assume @p57 (forall @t143 (=> (|tptp.'=<_terminates'| @t140 @t139) (or @t142 @t141)))) % 34.04/34.37 (assume @p58 (forall @t147 (not (and @t146 @t145)))) % 34.04/34.37 (assume @p59 (forall @t147 (=> (tptp.integer_terminates @t144) (or @t146 @t145)))) % 34.04/34.37 (assume @p60 (forall @t152 (not (and @t151 @t150)))) % 34.04/34.37 (assume @p61 (forall @t152 (=> (|tptp.'=<_terminates'| @t149 @t148) (or @t151 @t150)))) % 34.04/34.37 (assume @p62 (forall @t157 (not (and @t156 @t155)))) % 34.04/34.37 (assume @p63 (forall @t157 (=> (|tptp.'=<_terminates'| @t154 @t153) (or @t156 @t155)))) % 34.04/34.37 (assume @p64 (forall @t166 (= (tptp.int_ordered_succeeds @t158) (or (exists @t165 (and @t164 (|tptp.'=<_succeeds'| @t163 @t1) (tptp.int_ordered_succeeds @t162))) (exists @t161 @t160) @t159)))) % 34.04/34.37 (assume @p65 (forall @t166 (= (tptp.int_ordered_fails @t158) (and (forall @t165 (or @t169 @t168 (tptp.int_ordered_fails @t162))) (forall @t161 (not @t160)) @t167)))) % 34.04/34.37 (assume @p66 (forall @t166 (= (tptp.int_ordered_terminates @t158) (and (forall @t165 (and true (or @t169 (and (|tptp.'=<_terminates'| @t163 @t1) (or @t168 (tptp.int_ordered_terminates @t162)))))) @t170 true)))) % 34.04/34.37 (assume @p67 (forall @t166 (= (tptp.int_list_succeeds @t158) (or (exists @t172 (and @t171 (tptp.integer_succeeds @t163) (tptp.int_list_succeeds @t1))) @t159)))) % 34.04/34.37 (assume @p68 (forall @t166 (= (tptp.int_list_fails @t158) (and (forall @t172 (or @t174 @t173 (tptp.int_list_fails @t1))) @t167)))) % 34.04/34.37 (assume @p69 (forall @t166 (= (tptp.int_list_terminates @t158) (and (forall @t172 (and true (or @t174 (and (tptp.integer_terminates @t163) (or @t173 (tptp.int_list_terminates @t1)))))) true)))) % 34.04/34.37 (assume @p70 (forall @t189 (= (tptp.merge_succeeds @t158 @t163 @t1) (or (exists @t188 (and @t187 @t186 @t185 (|tptp.'=<_fails'| @t4 @t8) @t184 (tptp.merge_succeeds @t5 @t7 @t15))) (exists @t183 (and @t182 @t181 @t180 (|tptp.'=<_succeeds'| @t13 @t17) @t179 (tptp.merge_succeeds @t12 @t18 @t20))) (and @t178 @t177) @t176)))) % 34.04/34.37 (assume @p71 (forall @t189 (= (tptp.merge_fails @t158 @t163 @t1) (and (forall @t188 (or @t202 @t201 @t200 @t199 @t198 (tptp.merge_fails @t5 @t7 @t15))) (forall @t183 (or @t197 @t196 @t195 @t194 @t193 (tptp.merge_fails @t12 @t18 @t20))) (or @t192 (not @t177)) @t191)))) % 34.04/34.37 (assume @p72 (forall @t189 (= (tptp.merge_terminates @t158 @t163 @t1) (and (forall @t188 (and true (or @t202 (and true (or @t201 (and true (or @t200 (and (|tptp.'=<_terminates'| @t4 @t8) @t205 (tptp.gr @t8) (or @t199 (and true (or @t198 (tptp.merge_terminates @t5 @t7 @t15)))))))))))) (forall @t183 (and true (or @t197 (and true (or @t196 (and true (or @t195 (and (|tptp.'=<_terminates'| @t13 @t17) (or @t194 (and true (or @t193 (tptp.merge_terminates @t12 @t18 @t20)))))))))))) true @t204 true @t203)))) % 34.04/34.37 (assume @p73 (forall @t189 (= (tptp.split_succeeds @t158 @t163 @t1) (or (exists @t209 (and @t187 @t208 (tptp.split_succeeds @t3 @t1 @t8))) (and @t159 @t178 @t206))))) % 34.04/34.37 (assume @p74 (forall @t189 (= (tptp.split_fails @t158 @t163 @t1) (and (forall @t209 (or @t202 @t210 (tptp.split_fails @t3 @t1 @t8))) (or @t167 @t192 (not @t206)))))) % 34.04/34.37 (assume @p75 (forall @t189 (= (tptp.split_terminates @t158 @t163 @t1) (and (forall @t209 (and true (or @t202 (and true (or @t210 (tptp.split_terminates @t3 @t1 @t8)))))) true (or @t167 (and true @t204)))))) % 34.04/34.37 (assume @p76 (forall @t219 (= (tptp.mergesort_succeeds @t158 @t163) (or (exists @t218 (and @t217 (tptp.split_succeeds @t216 @t8 @t7) (tptp.mergesort_succeeds @t8 @t11) (tptp.mergesort_succeeds @t7 @t15) (tptp.merge_succeeds @t11 @t15 @t163))) (exists @t215 (and @t214 @t213)) @t211)))) % 34.04/34.37 (assume @p77 (forall @t219 (= (tptp.mergesort_fails @t158 @t163) (and (forall @t218 (or @t225 @t224 @t223 @t222 (tptp.merge_fails @t11 @t15 @t163))) (forall @t215 (or @t221 (not @t213))) @t220)))) % 34.04/34.37 (assume @p78 (forall @t219 (= (tptp.mergesort_terminates @t158 @t163) (and (forall @t218 (and true (or @t225 (and (tptp.split_terminates @t216 @t8 @t7) (or @t224 (and (tptp.mergesort_terminates @t8 @t11) (or @t223 (and (tptp.mergesort_terminates @t7 @t15) (or @t222 (tptp.merge_terminates @t11 @t15 @t163)))))))))) (forall @t215 (and true (or @t221 true))) true @t203)))) % 34.04/34.37 (assume @p79 (forall @t189 (= (tptp.member2_succeeds @t158 @t163 @t1) (or (tptp.member_succeeds @t158 @t1) @t226)))) % 34.04/34.37 (assume @p80 (forall @t189 (= (tptp.member2_fails @t158 @t163 @t1) (and (tptp.member_fails @t158 @t1) @t227)))) % 34.04/34.37 (assume @p81 (forall @t189 (= (tptp.member2_terminates @t158 @t163 @t1) (and (tptp.member_terminates @t158 @t1) @t228)))) % 34.04/34.37 (assume @p82 (forall @t189 (= (tptp.occ_succeeds @t158 @t163 @t1) (or (exists @t6 (and @t233 (not @t232) (tptp.occ_succeeds @t158 @t3 @t1))) (exists @t10 (and @t231 @t230 (tptp.occ_succeeds @t158 @t8 @t7))) (and @t178 @t229))))) % 34.04/34.37 (assume @p83 (forall @t189 (= (tptp.occ_fails @t158 @t163 @t1) (and (forall @t6 (or @t237 @t232 (tptp.occ_fails @t158 @t3 @t1))) (forall @t10 (or @t236 @t235 (tptp.occ_fails @t158 @t8 @t7))) (or @t192 @t234))))) % 34.04/34.37 (assume @p84 (forall @t189 (= (tptp.occ_terminates @t158 @t163 @t1) (and (forall @t6 (and true (or @t237 (and true @t238 @t205 (or @t232 (tptp.occ_terminates @t158 @t3 @t1)))))) (forall @t10 (and true (or @t236 (and true (or @t235 (tptp.occ_terminates @t158 @t8 @t7)))))) true @t204)))) % 34.04/34.37 (assume @p85 (forall @t219 (= @t241 (exists @t240 (and (tptp.member2_succeeds @t1 @t158 @t163) (tptp.occ_succeeds @t1 @t158 @t4) (tptp.occ_succeeds @t1 @t163 @t3) (not @t239)))))) % 34.04/34.37 (assume @p86 (forall @t219 (= @t245 (forall @t240 (or @t244 @t243 @t242 @t239))))) % 34.04/34.37 (assume @p87 (forall @t219 (= @t246 (forall @t240 (and (tptp.member2_terminates @t1 @t158 @t163) (or @t244 (and (tptp.occ_terminates @t1 @t158 @t4) (or @t243 (and (tptp.occ_terminates @t1 @t163 @t3) (or @t242 (and true @t205 (tptp.gr @t3)))))))))))) % 34.04/34.37 (assume @p88 (forall @t219 (= (tptp.same_occ_succeeds @t158 @t163) @t245))) % 34.04/34.37 (assume @p89 (forall @t219 (= (tptp.same_occ_fails @t158 @t163) @t241))) % 34.04/34.37 (assume @p90 (forall @t219 (= (tptp.same_occ_terminates @t158 @t163) (and @t246 @t238 (tptp.gr @t163))))) % 34.04/34.37 (assume @p91 (forall @t219 (= (tptp.permutation_succeeds @t158 @t163) (or (exists @t240 (and @t247 (tptp.delete_succeeds @t1 @t158 @t3) (tptp.permutation_succeeds @t3 @t4))) @t211)))) % 34.04/34.37 (assume @p92 (forall @t219 (= (tptp.permutation_fails @t158 @t163) (and (forall @t240 (or @t249 @t248 (tptp.permutation_fails @t3 @t4))) @t220)))) % 34.04/34.37 (assume @p93 (forall @t219 (= (tptp.permutation_terminates @t158 @t163) (and (forall @t240 (and true (or @t249 (and (tptp.delete_terminates @t1 @t158 @t3) (or @t248 (tptp.permutation_terminates @t3 @t4)))))) true @t203)))) % 34.04/34.37 (assume @p94 (forall @t189 (= (tptp.delete_succeeds @t158 @t163 @t1) (or (exists @t209 (and @t233 @t251 (tptp.delete_succeeds @t158 @t3 @t8))) @t250)))) % 34.04/34.37 (assume @p95 (forall @t189 (= (tptp.delete_fails @t158 @t163 @t1) (and (forall @t209 (or @t237 @t252 (tptp.delete_fails @t158 @t3 @t8))) (not @t250))))) % 34.04/34.37 (assume @p96 (forall @t189 (= (tptp.delete_terminates @t158 @t163 @t1) (and (forall @t209 (and true (or @t237 (and true (or @t252 (tptp.delete_terminates @t158 @t3 @t8)))))) true)))) % 34.04/34.37 (assume @p97 (forall @t219 (= (tptp.length_succeeds @t158 @t163) (or (exists @t240 (and @t256 @t255 (tptp.length_succeeds @t4 @t3))) (and @t159 @t253))))) % 34.04/34.37 (assume @p98 (forall @t219 (= (tptp.length_fails @t158 @t163) (and (forall @t240 (or @t258 @t257 (tptp.length_fails @t4 @t3))) (or @t167 (not @t253)))))) % 34.04/34.37 (assume @p99 (forall @t219 (= (tptp.length_terminates @t158 @t163) (and (forall @t240 (and true (or @t258 (and true (or @t257 (tptp.length_terminates @t4 @t3)))))) true @t203)))) % 34.04/34.37 (assume @p100 (forall @t189 (= (tptp.append_succeeds @t158 @t163 @t1) (or (exists @t209 (and @t187 @t251 (tptp.append_succeeds @t3 @t163 @t8))) @t176)))) % 34.04/34.37 (assume @p101 (forall @t189 (= (tptp.append_fails @t158 @t163 @t1) (and (forall @t209 (or @t202 @t252 (tptp.append_fails @t3 @t163 @t8))) @t191)))) % 34.04/34.37 (assume @p102 (forall @t189 (= (tptp.append_terminates @t158 @t163 @t1) (and (forall @t209 (and true (or @t202 (and true (or @t252 (tptp.append_terminates @t3 @t163 @t8)))))) true @t203)))) % 34.04/34.37 (assume @p103 (forall @t219 (= @t226 (or (exists @t260 (and @t247 (tptp.member_succeeds @t158 @t4))) (exists @t161 @t259))))) % 34.04/34.37 (assume @p104 (forall @t219 (= @t227 (and (forall @t260 (or @t249 (tptp.member_fails @t158 @t4))) (forall @t161 (not @t259)))))) % 34.04/34.37 (assume @p105 (forall @t219 (= @t228 (and (forall @t260 (and true (or @t249 (tptp.member_terminates @t158 @t4)))) @t170)))) % 34.04/34.37 (assume @p106 (forall @t166 (= (tptp.list_succeeds @t158) (or (exists @t172 (and @t171 (tptp.list_succeeds @t1))) @t159)))) % 34.04/34.37 (assume @p107 (forall @t166 (= (tptp.list_fails @t158) (and (forall @t172 (or @t174 (tptp.list_fails @t1))) @t167)))) % 34.04/34.37 (assume @p108 (forall @t166 (= (tptp.list_terminates @t158) (and (forall @t172 (and true (or @t174 (tptp.list_terminates @t1)))) true)))) % 34.04/34.37 (assume @p109 (forall @t166 (= (tptp.nat_list_succeeds @t158) (or (exists @t172 (and @t171 @t261 (tptp.nat_list_succeeds @t1))) @t159)))) % 34.04/34.37 (assume @p110 (forall @t166 (= (tptp.nat_list_fails @t158) (and (forall @t172 (or @t174 @t262 (tptp.nat_list_fails @t1))) @t167)))) % 34.04/34.37 (assume @p111 (forall @t166 (= (tptp.nat_list_terminates @t158) (and (forall @t172 (and true (or @t174 (and @t263 (or @t262 (tptp.nat_list_terminates @t1)))))) true)))) % 34.04/34.37 (assume @p112 (forall @t189 (= (tptp.times_succeeds @t158 @t163 @t1) (or (exists @t6 (and @t266 (tptp.times_succeeds @t4 @t163 @t3) (tptp.plus_succeeds @t163 @t3 @t1))) (and @t264 @t229))))) % 34.04/34.37 (assume @p113 (forall @t189 (= (tptp.times_fails @t158 @t163 @t1) (and (forall @t6 (or @t269 @t268 (tptp.plus_fails @t163 @t3 @t1))) (or @t267 @t234))))) % 34.04/34.37 (assume @p114 (forall @t189 (= (tptp.times_terminates @t158 @t163 @t1) (and (forall @t6 (and true (or @t269 (and (tptp.times_terminates @t4 @t163 @t3) (or @t268 (tptp.plus_terminates @t163 @t3 @t1)))))) true @t270)))) % 34.04/34.37 (assume @p115 (forall @t189 (= (tptp.plus_succeeds @t158 @t163 @t1) (or (exists @t6 (and @t266 @t271 (tptp.plus_succeeds @t4 @t163 @t3))) (and @t264 @t175))))) % 34.04/34.37 (assume @p116 (forall @t189 (= (tptp.plus_fails @t158 @t163 @t1) (and (forall @t6 (or @t269 @t272 (tptp.plus_fails @t4 @t163 @t3))) (or @t267 @t190))))) % 34.04/34.37 (assume @p117 (forall @t189 (= (tptp.plus_terminates @t158 @t163 @t1) (and (forall @t6 (and true (or @t269 (and true (or @t272 (tptp.plus_terminates @t4 @t163 @t3)))))) true @t270)))) % 34.04/34.37 (assume @p118 (forall @t219 (= (|tptp.'@=<_succeeds'| @t158 @t163) (or (exists @t260 (and @t274 @t273 (|tptp.'@=<_succeeds'| @t1 @t4))) @t264)))) % 34.04/34.37 (assume @p119 (forall @t219 (= (|tptp.'@=<_fails'| @t158 @t163) (and (forall @t260 (or @t276 @t275 (|tptp.'@=<_fails'| @t1 @t4))) @t267)))) % 34.04/34.37 (assume @p120 (forall @t219 (= (|tptp.'@=<_terminates'| @t158 @t163) (and (forall @t260 (and true (or @t276 (and true (or @t275 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 34.04/34.37 (assume @p121 (forall @t219 (= (|tptp.'@<_succeeds'| @t158 @t163) (or (exists @t260 (and @t274 @t273 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t161 (and @t264 @t255)))))) % 34.04/34.37 (assume @p122 (forall @t219 (= (|tptp.'@<_fails'| @t158 @t163) (and (forall @t260 (or @t276 @t275 (|tptp.'@<_fails'| @t1 @t4))) (forall @t161 (or @t267 @t257)))))) % 34.04/34.37 (assume @p123 (forall @t219 (= (|tptp.'@<_terminates'| @t158 @t163) (and (forall @t260 (and true (or @t276 (and true (or @t275 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t161 (and true @t270)))))) % 34.04/34.37 (assume @p124 (forall @t166 (= @t279 (or (exists @t278 (and @t277 @t261)) @t264)))) % 34.04/34.37 (assume @p125 (forall @t166 (= (tptp.nat_fails @t158) (and (forall @t278 (or @t280 @t262)) @t267)))) % 34.04/34.37 (assume @p126 (forall @t166 (= (tptp.nat_terminates @t158) (and (forall @t278 (and true (or @t280 @t263))) true)))) % 34.04/34.37 (assume @p127 (forall (@list @t282 @t281) (not (|tptp.'=<_succeeds'| @t282 @t281)))) % 34.04/34.37 (assume @p128 (forall (@list @t284 @t283) (|tptp.'=<_fails'| @t284 @t283))) % 34.04/34.37 (assume @p129 (forall (@list @t286 @t285) (|tptp.'=<_terminates'| @t286 @t285))) % 34.04/34.37 (assume @p130 (forall (@list @t287) (not (tptp.integer_succeeds @t287)))) % 34.04/34.37 (assume @p131 (forall (@list @t288) (tptp.integer_fails @t288))) % 34.04/34.37 (assume @p132 (forall (@list @t289) (tptp.integer_terminates @t289))) % 34.04/34.37 (assume @p133 (forall (@list @t291 @t290) (not (|tptp.'=<_succeeds'| @t291 @t290)))) % 34.04/34.37 (assume @p134 (forall (@list @t293 @t292) (|tptp.'=<_fails'| @t293 @t292))) % 34.04/34.37 (assume @p135 (forall (@list @t295 @t294) (|tptp.'=<_terminates'| @t295 @t294))) % 34.04/34.37 (assume @p136 (forall (@list @t297 @t296) (not (|tptp.'=<_succeeds'| @t297 @t296)))) % 34.04/34.37 (assume @p137 (forall (@list @t299 @t298) (|tptp.'=<_fails'| @t299 @t298))) % 34.04/34.37 (assume @p138 (forall (@list @t301 @t300) (|tptp.'=<_terminates'| @t301 @t300))) % 34.04/34.37 (assume @p139 (forall @t304 (=> @t303 (tptp.nat_terminates @t302)))) % 34.04/34.37 (assume @p140 (forall @t304 (=> @t303 @t305))) % 34.04/34.37 (assume @p141 (forall @t309 (=> @t303 @t308))) % 34.04/34.37 (assume @p142 (forall @t309 (=> @t310 @t308))) % 34.04/34.37 (assume @p143 (forall @t309 (=> @t311 @t303))) % 34.04/34.37 (assume @p144 (forall @t309 (=> (and @t311 @t312) @t310))) % 34.04/34.37 (assume @p145 (forall @t309 (=> (and @t311 @t310) @t312))) % 34.04/34.37 (assume @p146 (forall @t309 (=> @t311 @t308))) % 34.04/34.37 (assume @p147 (forall @t309 (=> @t311 @t305))) % 34.04/34.37 (assume @p148 (forall @t309 (=> (and @t311 @t314) @t313))) % 34.04/34.37 (assume @p149 (forall @t309 (=> (and @t311 @t313) @t314))) % 34.04/34.37 (assume @p150 (forall @t316 (=> @t303 (exists @t315 @t311)))) % 34.04/34.37 (assume @p151 (forall @t320 (=> (and (tptp.plus_succeeds @t302 @t307 @t318) (tptp.plus_succeeds @t302 @t307 @t317)) @t319))) % 34.04/34.37 (assume @p152 @t323) % 34.04/34.37 (assume @p153 @t328) % 34.04/34.37 (assume @p154 (forall @t316 (=> @t329 (tptp.nat_succeeds @t324)))) % 34.04/34.37 (assume @p155 (forall @t309 (=> @t331 (= (|tptp.'@+'| @t324 @t306) (|tptp.'@+'| @t302 @t330))))) % 34.04/34.37 (assume @p156 (forall @t304 (=> @t303 (= (|tptp.'@+'| @t302 |tptp.'0'|) @t302)))) % 34.04/34.37 (assume @p157 (forall @t316 (=> @t329 (= @t333 @t326)))) % 34.04/34.37 (assume @p158 @t336) % 34.04/34.37 (assume @p159 (forall @t309 (=> (and @t303 (= @t324 @t337)) (= @t307 @t306)))) % 34.04/34.37 (assume @p160 (forall @t309 (=> @t338 @t303))) % 34.04/34.37 (assume @p161 (forall @t309 (=> (and @t338 @t312) @t310))) % 34.04/34.37 (assume @p162 (forall @t309 (=> @t338 @t305))) % 34.04/34.37 (assume @p163 (forall @t309 (=> (and @t338 @t314) @t313))) % 34.04/34.37 (assume @p164 (forall @t309 (=> @t329 (tptp.times_terminates @t302 @t307 @t306)))) % 34.04/34.37 (assume @p165 (forall @t316 (=> @t329 (exists @t315 @t338)))) % 34.04/34.37 (assume @p166 (forall @t320 (=> (and (tptp.times_succeeds @t302 @t307 @t318) (tptp.times_succeeds @t302 @t307 @t317)) @t319))) % 34.04/34.37 (assume @p167 (forall @t322 (=> @t312 (= (|tptp.'@*'| |tptp.'0'| @t307) |tptp.'0'|)))) % 34.04/34.37 (assume @p168 (forall @t316 (=> @t329 (= @t340 (|tptp.'@+'| @t307 @t339))))) % 34.04/34.37 (assume @p169 (forall @t316 (=> @t329 (tptp.nat_succeeds @t339)))) % 34.04/34.37 (assume @p170 (forall @t309 (=> @t331 (= (|tptp.'@*'| @t324 @t306) (|tptp.'@+'| @t342 @t341))))) % 34.04/34.37 (assume @p171 (forall @t309 (=> @t331 (= (|tptp.'@*'| @t339 @t306) (|tptp.'@*'| @t302 @t341))))) % 34.04/34.37 (assume @p172 (forall @t304 (=> @t303 (= (|tptp.'@*'| @t302 |tptp.'0'|) |tptp.'0'|)))) % 34.04/34.37 (assume @p173 (forall (@list @t307 @t302) (=> (and @t312 @t303) (= (|tptp.'@+'| @t343 @t307) (|tptp.'@*'| @t307 @t325))))) % 34.04/34.37 (assume @p174 (forall @t316 (=> @t329 (= @t339 @t343)))) % 34.04/34.37 (assume @p175 (forall @t304 (=> @t303 (= (|tptp.'@*'| @t344 @t302) @t302)))) % 34.04/34.37 (assume @p176 (forall @t304 (=> @t303 (= (|tptp.'@*'| @t302 @t344) @t302)))) % 34.04/34.37 (assume @p177 (forall @t309 (=> @t331 (= (|tptp.'@*'| @t306 @t324) (|tptp.'@+'| (|tptp.'@*'| @t306 @t302) (|tptp.'@*'| @t306 @t307)))))) % 34.04/34.37 (assume @p178 (forall @t316 (=> @t303 @t345))) % 34.04/34.37 (assume @p179 (forall @t316 (=> @t312 @t345))) % 34.04/34.37 (assume @p180 (forall @t316 (=> @t346 @t303))) % 34.04/34.37 (assume @p181 (forall @t316 (=> @t346 (exists @t315 (= @t307 @t347))))) % 34.04/34.37 (assume @p182 (forall @t309 (=> (and @t346 (|tptp.'@<_succeeds'| @t307 @t347)) @t348))) % 34.04/34.37 (assume @p183 (forall @t316 (=> @t346 @t349))) % 34.04/34.37 (assume @p184 (forall @t309 (=> (and @t346 @t350) @t348))) % 34.04/34.37 (assume @p185 (forall @t304 (=> @t303 (|tptp.'@<_fails'| @t302 @t302)))) % 34.04/34.37 (assume @p186 (forall @t304 (=> @t303 (not (|tptp.'@<_succeeds'| @t302 @t302))))) % 34.04/34.37 (assume @p187 (forall @t304 (=> @t303 (|tptp.'@<_succeeds'| @t302 @t325)))) % 34.04/34.37 (assume @p188 (forall @t316 (=> (and @t312 @t349) @t352))) % 34.04/34.37 (assume @p189 (forall @t316 (=> @t329 (or @t346 @t351 (|tptp.'@<_succeeds'| @t307 @t302))))) % 34.04/34.37 (assume @p190 (forall @t304 (=> (and @t303 @t353) (|tptp.'@<_succeeds'| |tptp.'0'| @t302)))) % 34.04/34.37 (assume @p191 (forall @t316 (=> @t303 (|tptp.'@=<_terminates'| @t302 @t307)))) % 34.04/34.37 (assume @p192 (forall @t316 (=> @t354 @t303))) % 34.04/34.37 (assume @p193 (forall @t316 (=> @t354 (exists @t315 (tptp.plus_succeeds @t302 @t306 @t307))))) % 34.04/34.37 (assume @p194 (forall @t316 (=> @t354 (exists @t315 (= @t337 @t307))))) % 34.04/34.37 (assume @p195 (forall @t316 (=> @t346 (exists @t315 (tptp.plus_succeeds @t302 @t347 @t307))))) % 34.04/34.37 (assume @p196 (forall @t316 (=> @t346 (exists @t315 (= (|tptp.'@+'| @t302 @t347) @t307))))) % 34.04/34.37 (assume @p197 (forall @t316 (=> @t346 @t354))) % 34.04/34.37 (assume @p198 (forall @t304 (=> @t303 (|tptp.'@=<_succeeds'| @t302 @t302)))) % 34.04/34.37 (assume @p199 (forall @t316 (=> @t329 (or @t354 @t355)))) % 34.04/34.37 (assume @p200 (forall @t316 (=> @t329 (or @t346 @t355)))) % 34.04/34.37 (assume @p201 (forall @t316 (=> (and @t303 @t312 (|tptp.'@=<_fails'| @t302 @t307)) @t355))) % 34.04/34.37 (assume @p202 (forall @t316 (=> (and @t354 @t312) @t352))) % 34.04/34.37 (assume @p203 (forall @t309 (=> (and @t354 @t350) @t348))) % 34.04/34.37 (assume @p204 (forall @t309 (=> (and @t346 @t356) @t348))) % 34.04/34.37 (assume @p205 (forall @t309 (=> (and @t354 @t356) (|tptp.'@=<_succeeds'| @t302 @t306)))) % 34.04/34.37 (assume @p206 (forall @t316 (=> (and @t354 @t355) @t351))) % 34.04/34.37 (assume @p207 (forall @t304 (=> @t303 (|tptp.'@=<_succeeds'| @t302 @t325)))) % 34.04/34.37 (assume @p208 (forall @t304 (=> @t303 (|tptp.'@=<_fails'| @t325 @t302)))) % 34.04/34.37 (assume @p209 (forall @t309 (=> (and @t303 @t350) @t357))) % 34.04/34.37 (assume @p210 (forall @t316 (=> @t303 (|tptp.'@<_succeeds'| @t302 @t333)))) % 34.04/34.37 (assume @p211 (forall @t309 (=> (and @t346 @t312 @t310) @t358))) % 34.04/34.37 (assume @p212 (forall @t316 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t307) @t303 @t312) (|tptp.'@<_succeeds'| @t302 @t334)))) % 34.04/34.37 (assume @p213 (forall @t309 (=> (and @t303 @t356) @t359))) % 34.04/34.37 (assume @p214 (forall @t309 (=> @t360 (|tptp.'@=<_succeeds'| @t337 @t330)))) % 34.04/34.37 (assume @p215 (forall @t316 (=> @t303 (|tptp.'@=<_succeeds'| @t302 @t324)))) % 34.04/34.37 (assume @p216 (forall @t316 (=> @t329 (|tptp.'@=<_succeeds'| @t307 @t324)))) % 34.04/34.37 (assume @p217 (forall @t309 (=> (and @t303 @t357) @t350))) % 34.04/34.37 (assume @p218 (forall @t309 (=> (and @t303 @t312 @t310 @t358) @t346))) % 34.04/34.37 (assume @p219 (forall @t309 (=> (and @t303 @t359) @t356))) % 34.04/34.37 (assume @p220 (forall @t368 (=> (and @t367 @t366 @t365) (|tptp.'@=<_succeeds'| @t364 @t363)))) % 34.04/34.37 (assume @p221 (forall @t368 (=> (and @t370 @t366 @t365) @t369))) % 34.04/34.37 (assume @p222 (forall @t368 (=> (and @t367 @t371 @t365) @t369))) % 34.04/34.37 (assume @p223 (forall @t368 (=> (and @t370 @t371 @t365) @t369))) % 34.04/34.37 (assume @p224 (forall @t309 (=> (and @t303 @t356 @t310) (|tptp.'@=<_succeeds'| @t339 @t342)))) % 34.04/34.37 (assume @p225 (forall @t309 (=> @t360 (|tptp.'@=<_succeeds'| @t342 @t341)))) % 34.04/34.37 (assume @p226 (forall @t309 (=> (and @t303 @t353 @t350 @t310) (|tptp.'@<_succeeds'| @t339 @t342)))) % 34.04/34.37 (assume @p227 (forall @t309 (=> (and @t303 @t312 @t310 (|tptp.'@=<_succeeds'| @t340 (|tptp.'@*'| @t325 @t306))) @t356))) % 34.04/34.37 (assume @p228 (forall (@list @t158 @t163 @t307) (=> (and @t279 @t261 @t312 (= (|tptp.'@+'| @t158 @t307) (|tptp.'@+'| @t163 @t307))) (= @t158 @t163)))) % 34.04/34.37 (assume @p229 (forall @t304 (tptp.list_succeeds (tptp.cons @t302 tptp.nil)))) % 34.04/34.37 (assume @p230 (forall @t316 (tptp.list_succeeds (tptp.cons @t302 (tptp.cons @t307 tptp.nil))))) % 34.04/34.37 (assume @p231 (forall @t309 (tptp.list_succeeds (tptp.cons @t302 (tptp.cons @t307 (tptp.cons @t306 tptp.nil)))))) % 34.04/34.37 (assume @p232 (forall @t375 (=> (tptp.list_succeeds @t374) @t373))) % 34.04/34.37 (assume @p233 (forall @t376 (=> @t373 (tptp.list_terminates @t372)))) % 34.04/34.37 (assume @p234 (forall @t375 (=> @t373 (tptp.member_terminates @t302 @t372)))) % 34.04/34.37 (assume @p235 (forall @t375 (=> @t373 (or @t378 @t377)))) % 34.04/34.37 (assume @p236 (forall @t375 (=> (and @t378 @t379) @t305))) % 34.04/34.37 (assume @p237 (forall (@list @t302 @t307 @t306 @t372) (=> (and (tptp.member_succeeds @t302 @t381) @t380) @t378))) % 34.04/34.37 (assume @p238 (forall @t387 (=> @t386 @t383))) % 34.04/34.37 (assume @p239 (forall @t387 (=> (and @t386 @t389) @t388))) % 34.04/34.37 (assume @p240 (forall @t387 (=> @t390 @t389))) % 34.04/34.37 (assume @p241 (forall @t387 (=> @t390 @t391))) % 34.04/34.37 (assume @p242 (forall @t387 (=> @t383 @t392))) % 34.04/34.37 (assume @p243 (forall @t387 (=> @t388 @t392))) % 34.04/34.37 (assume @p244 (forall @t387 (=> (and @t386 @t395 @t394) @t393))) % 34.04/34.37 (assume @p245 (forall @t387 (=> (and @t386 @t393) @t396))) % 34.04/34.37 (assume @p246 (forall @t397 (=> @t383 (exists (@list @t384) @t386)))) % 34.04/34.37 (assume @p247 (forall @t399 (=> (and @t386 (tptp.append_succeeds @t382 @t385 @t398)) (= @t384 @t398)))) % 34.04/34.37 (assume @p248 (forall @t376 (= (|tptp.'**'| tptp.nil @t372) @t372))) % 34.04/34.37 (assume @p249 (forall @t402 (=> @t383 (= (|tptp.'**'| @t401 @t385) (tptp.cons @t302 @t400))))) % 34.04/34.37 (assume @p250 (forall @t397 (=> @t391 @t403))) % 34.04/34.37 (assume @p251 (forall @t397 (=> (and @t383 @t403) @t389))) % 34.04/34.37 (assume @p252 (forall @t397 (=> (and @t383 @t395 @t394) @t404))) % 34.04/34.37 (assume @p253 (forall @t397 (=> (and @t383 @t404) @t396))) % 34.04/34.37 (assume @p254 (forall @t387 (=> @t391 (= (|tptp.'**'| @t400 @t384) (|tptp.'**'| @t382 @t405))))) % 34.04/34.37 (assume @p255 (forall @t376 (=> @t373 (= (|tptp.'**'| @t372 tptp.nil) @t372)))) % 34.04/34.37 (assume @p256 (forall @t410 (=> @t409 @t408))) % 34.04/34.37 (assume @p257 (forall @t410 (=> @t373 (tptp.length_terminates @t372 @t406)))) % 34.04/34.37 (assume @p258 (forall @t410 (=> @t409 @t411))) % 34.04/34.37 (assume @p259 (forall @t376 (=> @t373 (exists @t412 @t409)))) % 34.04/34.37 (assume @p260 (forall (@list @t372 @t413 @t406) (=> (and (tptp.length_succeeds @t372 @t413) @t409) @t414))) % 34.04/34.37 (assume @p261 (= @t415 |tptp.'0'|)) % 34.04/34.37 (assume @p262 @t419) % 34.04/34.37 (assume @p263 @t421) % 34.04/34.37 (assume @p264 (forall @t376 (=> (and @t373 (= @t416 |tptp.'0'|)) @t422))) % 34.04/34.37 (assume @p265 (forall (@list @t406 @t382) (=> (and @t383 (= @t425 @t424)) (exists (@list @t302 @t385) (= @t382 @t423))))) % 34.04/34.37 (assume @p266 (forall @t397 (=> @t391 (= @t428 @t427)))) % 34.04/34.37 (assume @p267 (forall @t397 (=> @t391 (|tptp.'@=<_succeeds'| @t425 @t428)))) % 34.04/34.37 (assume @p268 (forall @t397 (=> @t391 (|tptp.'@=<_succeeds'| @t426 @t428)))) % 34.04/34.37 (assume @p269 (forall @t375 (=> @t373 (|tptp.'@=<_succeeds'| @t416 @t417)))) % 34.04/34.37 (assume @p270 (forall @t387 (=> @t390 (= @t427 @t429)))) % 34.04/34.37 (assume @p271 (forall @t387 (=> @t390 (|tptp.'@=<_succeeds'| @t425 @t429)))) % 34.04/34.37 (assume @p272 (forall @t387 (=> @t390 (|tptp.'@=<_succeeds'| @t426 @t429)))) % 34.04/34.37 (assume @p273 (forall (@list @t302 @t430) (tptp.sub @t430 @t431))) % 34.04/34.37 (assume @p274 (forall @t376 (tptp.sub @t372 @t372))) % 34.04/34.37 (assume @p275 (forall (@list @t430 @t433 @t432) (=> (and @t434 (tptp.sub @t433 @t432)) (tptp.sub @t430 @t432)))) % 34.04/34.37 (assume @p276 (forall @t376 (tptp.sub tptp.nil @t372))) % 34.04/34.37 (assume @p277 (forall @t435 (=> (and @t434 (tptp.member_succeeds @t302 @t433)) (tptp.sub @t431 @t433)))) % 34.04/34.37 (assume @p278 (forall @t435 (=> @t434 (tptp.sub @t431 (tptp.cons @t302 @t433))))) % 34.04/34.37 (assume @p279 (forall (@list @t302 @t384) (=> @t437 (exists @t397 @t436)))) % 34.04/34.37 (assume @p280 (forall @t439 (=> (and @t386 @t438) @t437))) % 34.04/34.37 (assume @p281 (forall @t439 (=> (and @t386 @t440) @t437))) % 34.04/34.37 (assume @p282 (forall @t402 (=> (and @t438 @t383) @t441))) % 34.04/34.37 (assume @p283 (forall @t402 (=> (and @t440 @t383) @t441))) % 34.04/34.37 (assume @p284 (forall @t439 (=> @t436 @t437))) % 34.04/34.37 (assume @p285 (forall @t439 (=> (and @t386 @t437) @t442))) % 34.04/34.37 (assume @p286 (forall @t402 (=> (and @t383 @t441) @t442))) % 34.04/34.37 (assume @p287 (forall @t397 (=> @t383 (tptp.sub @t382 @t400)))) % 34.04/34.37 (assume @p288 (forall @t397 (=> @t383 (tptp.sub @t385 @t400)))) % 34.04/34.37 (assume @p289 (forall @t439 (=> @t390 (not (= @t385 (tptp.cons @t302 @t384)))))) % 34.04/34.37 (assume @p290 (forall @t397 (=> (and (tptp.append_succeeds @t382 @t385 @t385) @t389) @t443))) % 34.04/34.37 (assume @p291 (forall @t399 (=> (and @t386 (tptp.append_succeeds @t398 @t385 @t384) @t388) (= @t382 @t398)))) % 34.04/34.37 (assume @p292 (forall @t387 (=> (and @t383 @t389 @t388 (= (|tptp.'**'| @t382 @t384) @t405)) (= @t382 @t385)))) % 34.04/34.37 (assume @p293 (forall @t399 (=> (and @t386 (tptp.append_succeeds @t382 @t398 @t384)) (= @t385 @t398)))) % 34.04/34.37 (assume @p294 (forall @t376 (=> @t444 @t373))) % 34.04/34.37 (assume @p295 (forall @t376 (=> @t444 (tptp.nat_list_terminates @t372)))) % 34.04/34.37 (assume @p296 (forall @t304 (=> (tptp.nat_list_succeeds @t302) @t305))) % 34.04/34.37 (assume @p297 (forall (@list @t302 @t382 @t385 @t406) (=> (and @t383 @t389 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t401) @t426) @t424)) @t445))) % 34.04/34.37 (assume @p298 (forall (@list @t382 @t307 @t385 @t406) (=> (and @t383 @t389 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t425 (tptp.lh (tptp.cons @t307 @t385))) @t424)) @t445))) % 34.04/34.37 (assume @p299 (forall @t402 (=> @t383 @t446))) % 34.04/34.37 (assume @p300 (forall @t402 (=> @t389 @t446))) % 34.04/34.37 (assume @p301 (forall @t402 (=> @t448 @t389))) % 34.04/34.37 (assume @p302 (forall @t402 (=> (and @t447 @t389) @t383))) % 34.04/34.37 (assume @p303 (forall @t402 (=> @t448 (= @t425 (tptp.s @t426))))) % 34.04/34.37 (assume @p304 (forall @t402 (=> @t383 (tptp.delete_succeeds @t302 (|tptp.'**'| @t382 @t423) @t400)))) % 34.04/34.37 (assume @p305 (forall @t402 (=> @t447 (exists (@list @t384 @t398) (and @t388 (= @t382 (|tptp.'**'| @t384 (tptp.cons @t302 @t398))) (= @t385 @t449)))))) % 34.04/34.37 (assume @p306 (forall @t402 (=> (and @t447 @t451) (and @t303 @t450)))) % 34.04/34.37 (assume @p307 (forall @t402 (=> (and @t447 @t395) (and @t305 @t394)))) % 34.04/34.37 (assume @p308 (forall @t454 (=> (and @t447 @t453) (or @t452 (= @t307 @t302))))) % 34.04/34.37 (assume @p309 (forall @t402 (=> @t447 @t438))) % 34.04/34.37 (assume @p310 (forall @t454 (=> (and @t447 @t452) @t453))) % 34.04/34.37 (assume @p311 (forall (@list @t302 @t382) (=> @t438 @t456))) % 34.04/34.37 (assume @p312 (forall @t454 (=> (and @t447 @t453 @t380) @t452))) % 34.04/34.37 (assume @p313 (forall @t397 (=> @t457 @t391))) % 34.04/34.37 (assume @p314 (forall (@list @t406 @t382 @t385) (=> (and @t407 @t383 (= @t425 @t406)) @t458))) % 34.04/34.37 (assume @p315 (forall @t397 (=> @t383 @t458))) % 34.04/34.37 (assume @p316 (forall @t402 (=> @t391 (tptp.member2_terminates @t302 @t382 @t385)))) % 34.04/34.37 (assume @p317 (forall @t459 (=> (and @t373 @t379 @t305) (tptp.occ_terminates @t302 @t372 @t406)))) % 34.04/34.37 (assume @p318 (forall @t402 (=> (and (tptp.member2_succeeds @t302 @t382 @t385) @t395 @t394) @t305))) % 34.04/34.37 (assume @p319 (forall @t459 (=> @t460 @t411))) % 34.04/34.37 (assume @p320 (forall @t397 (=> @t461 (tptp.not_same_occ_terminates @t382 @t385)))) % 34.04/34.37 (assume @p321 (forall @t397 (=> @t461 (tptp.same_occ_terminates @t382 @t385)))) % 34.04/34.37 (assume @p322 (forall @t459 (=> @t460 @t408))) % 34.04/34.37 (assume @p323 (forall @t375 (=> @t373 (exists @t412 @t460)))) % 34.04/34.37 (assume @p324 (forall (@list @t302 @t372 @t413 @t406) (=> (and @t462 @t460) @t414))) % 34.04/34.37 (assume @p325 (forall @t304 (= (tptp.occ @t302 tptp.nil) |tptp.'0'|))) % 34.04/34.37 (assume @p326 (forall (@list @t302 @t307 @t372) (=> (and @t373 @t380) (= (tptp.occ @t302 @t381) @t463)))) % 34.04/34.37 (assume @p327 (forall @t375 (=> @t373 (= (tptp.occ @t302 @t374) (tptp.s @t463))))) % 34.04/34.37 (assume @p328 (forall @t375 (=> @t373 (tptp.nat_succeeds @t463)))) % 34.04/34.37 (assume @p329 (forall @t402 (=> @t391 (= (tptp.occ @t302 @t400) (|tptp.'@+'| @t465 @t464))))) % 34.04/34.37 (assume @p330 (forall @t454 (=> (and @t383 @t447 @t380) (= (tptp.occ @t307 @t382) (tptp.occ @t307 @t385))))) % 34.04/34.37 (assume @p331 (forall @t402 (=> (and @t383 @t447) (= @t465 (tptp.s @t464))))) % 34.04/34.37 (assume @p332 (forall @t397 (=> @t457 @t466))) % 34.04/34.37 (assume @p333 (forall @t397 (=> (and @t457 @t395 @t394) @t467))) % 34.04/34.37 (assume @p334 (forall @t376 (=> (and @t373 (forall @t304 @t468)) @t422))) % 34.04/34.37 (assume @p335 (forall (@list @t302 @t382 @t406) (=> (and @t383 (= @t465 @t424)) @t456))) % 34.04/34.37 (assume @p336 (forall @t455 (=> @t389 (forall (@list @t382) (=> (and @t383 @t466) @t457))))) % 34.04/34.37 (assume @p337 (forall @t397 (=> (and @t389 @t383 @t466) @t457))) % 34.04/34.37 (assume @p338 (forall @t375 (=> (and @t373 @t377) @t468))) % 34.04/34.37 (assume @p339 (forall @t397 (=> @t469 @t466))) % 34.04/34.37 (assume @p340 (forall @t397 (=> @t469 @t457))) % 34.04/34.37 (assume @p341 (forall @t376 (=> @t373 (tptp.permutation_succeeds @t372 @t372)))) % 34.04/34.37 (assume @p342 (forall @t397 (=> @t457 (tptp.permutation_succeeds @t385 @t382)))) % 34.04/34.37 (assume @p343 (forall @t387 (=> (and @t457 (tptp.permutation_succeeds @t385 @t384)) @t470))) % 34.04/34.37 (assume @p344 (forall @t399 (=> (and @t470 (tptp.permutation_succeeds @t385 @t398)) (tptp.permutation_succeeds @t400 @t449)))) % 34.04/34.37 (assume @p345 (forall @t397 (=> @t391 (tptp.permutation_succeeds @t400 (|tptp.'**'| @t385 @t382))))) % 34.04/34.37 (assume @p346 (forall @t397 (=> (and @t457 @t451) @t450))) % 34.04/34.37 (assume @p347 (forall @t459 (=> (and @t373 (tptp.occ_succeeds @t302 @t372 @t424)) @t378))) % 34.04/34.37 (assume @p348 (forall @t459 (=> (and @t373 @t471) @t378))) % 34.04/34.37 (assume @p349 (forall @t375 (=> (and @t373 @t378) (exists @t412 @t471)))) % 34.04/34.37 (assume @p350 (forall @t402 (=> (and @t457 @t438) @t440))) % 34.04/34.37 (assume @p351 (forall @t402 (=> (tptp.permutation_succeeds @t401 @t423) @t457))) % 34.04/34.37 (assume @p352 (forall @t376 (=> (tptp.permutation_succeeds tptp.nil @t372) @t422))) % 34.04/34.37 (assume @p353 (forall @t397 (=> (and @t457 @t395) @t394))) % 34.04/34.37 (assume @p354 (forall @t397 (=> @t457 (= @t425 @t426)))) % 34.04/34.37 (assume @p355 (forall @t316 (=> (and @t473 @t472) (|tptp.'=<_terminates'| @t302 @t307)))) % 34.04/34.37 (assume @p356 (forall @t304 (=> @t473 @t305))) % 34.04/34.37 (assume @p357 (forall @t316 (=> (and @t473 @t472 (|tptp.'=<_fails'| @t302 @t307)) (|tptp.'=<_succeeds'| @t307 @t302)))) % 34.04/34.37 (assume @p358 (forall @t309 (=> @t303 (= (= @t324 @t306) @t311)))) % 34.04/34.37 (assume @p359 (forall @t309 (=> @t329 (= (= @t339 @t306) @t338)))) % 34.04/34.37 (assume @p360 (forall @t387 (=> @t383 (= (= @t400 @t384) @t386)))) % 34.04/34.37 (assume @p361 (forall @t410 (=> @t373 (= (= @t416 @t406) @t409)))) % 34.04/34.37 (assume @p362 (forall @t397 (= (tptp.sub @t382 @t385) (forall @t304 (=> @t438 @t440))))) % 34.04/34.37 (assume @p363 (forall (@list @t302 @t372 @t413) (=> @t373 (= (= @t463 @t413) @t462)))) % 34.04/34.37 (assume @p364 (forall @t376 (=> (tptp.int_list_succeeds @t372) @t373))) % 34.04/34.37 (assume @p365 @t476) % 34.04/34.37 (assume @p366 @t487) % 34.04/34.37 (assume @p367 @t488) % 34.04/34.37 (assume @p368 true) % 34.04/34.37 (step @p369 :rule bool-impl-elim :args (@t475 @t477)) % 34.04/34.37 (step @p370 :rule cong :premises (@p369) :args (@t478)) % 34.04/34.37 (step @p371 :rule cong :premises (@p370) :args (@t488)) % 34.04/34.37 (step @p372 :rule eq_resolve :premises (@p367 @p371)) % 34.04/34.37 (step @p373 :rule refl :args (@t477)) % 34.04/34.37 (step @p374 :rule refl :args (@t495)) % 34.04/34.37 (step @p375 :rule refl :args (@t498)) % 34.04/34.37 (step @p376 :rule refl :args (@t499)) % 34.04/34.37 (step @p377 :rule eq-symm :args (@t501 @t385)) % 34.04/34.37 (step @p378 :rule cong :premises (@p377) :args (@t502)) % 34.04/34.37 (step @p379 :rule eq-symm :args (@t503 @t382)) % 34.04/34.37 (step @p380 :rule cong :premises (@p379) :args (@t504)) % 34.04/34.37 (step @p381 :rule nary_cong :premises (@p380 @p378 @p376 @p375) :args (@t505)) % 34.04/34.37 (step @p382 :rule nary_cong :premises (@p381 @p374) :args (@t506)) % 34.04/34.37 (step @p383 :rule nary_cong :premises (@p382 @p373) :args (@t507)) % 34.04/34.37 (step @p384 :rule cong :premises (@p383) :args (@t509)) % 34.04/34.37 (step @p385 :rule quant-merge-prenex :args ((= (forall @t387 @t511) @t509))) % 34.04/34.37 (step @p386 :rule refl :args (@t477)) % 34.04/34.37 (step @p387 :rule quant-unused-vars :args ((= @t512 @t495))) % 34.04/34.37 (step @p388 :rule alpha_equiv :args (@t513 (@list @t500 @t497 @t496) (@list @t4 @t3 @t8))) % 34.04/34.37 (step @p389 :rule nary_cong :premises (@p388 @p387) :args (@t514)) % 34.04/34.37 (step @p390 :rule quant-miniscope-and :args ((= @t515 @t514))) % 34.04/34.37 (step @p391 :rule trans :premises (@p390 @p389)) % 34.04/34.37 (step @p392 :rule nary_cong :premises (@p391 @p386) :args (@t516)) % 34.04/34.37 (step @p393 :rule quant-miniscope-or :args ((= @t511 @t516))) % 34.04/34.37 (step @p394 :rule trans :premises (@p393 @p392)) % 34.04/34.37 (step @p395 :rule symm :premises (@p394)) % 34.04/34.37 (step @p396 :rule cong :premises (@p395) :args ((forall @t387 (or (and @t524 @t495) @t477)))) % 34.04/34.37 (step @p397 :rule trans :premises (@p396 @p385)) % 34.04/34.37 (step @p398 :rule trans :premises (@p397 @p384)) % 34.04/34.37 (step @p399 :rule aci_norm :args ((= (or @t494 (or @t492 @t490)) @t495))) % 34.04/34.37 (step @p400 :rule bool-and-de-morgan :args (@t491 @t489 true)) % 34.04/34.37 (step @p401 :rule refl :args (@t494)) % 34.04/34.37 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t494 (not (and @t491 @t489))))) % 34.04/34.37 (step @p403 :rule bool-and-de-morgan :args (@t493 @t491 (and @t489))) % 34.04/34.37 (step @p404 :rule trans :premises (@p403 @p402)) % 34.04/34.37 (step @p405 :rule trans :premises (@p404 @p399)) % 34.04/34.37 (step @p406 :rule refl :args (@t524)) % 34.04/34.37 (step @p407 :rule nary_cong :premises (@p406 @p405) :args ((and @t524 @t526))) % 34.04/34.37 (step @p408 :rule refl :args (@t526)) % 34.04/34.37 (step @p409 :rule bool-double-not-elim :args (@t524)) % 34.04/34.37 (step @p410 :rule nary_cong :premises (@p409 @p408) :args ((and (not @t527) @t526))) % 34.04/34.37 (step @p411 :rule bool-or-de-morgan :args (@t527 @t525 false)) % 34.04/34.37 (step @p412 :rule trans :premises (@p411 @p410)) % 34.04/34.37 (step @p413 :rule trans :premises (@p412 @p407)) % 34.04/34.37 (step @p414 :rule nary_cong :premises (@p413 @p386) :args ((or (not @t528) @t477))) % 34.04/34.37 (step @p415 :rule bool-impl-elim :args (@t528 @t477)) % 34.04/34.37 (step @p416 :rule trans :premises (@p415 @p414)) % 34.04/34.37 (step @p417 :rule cong :premises (@p416) :args ((forall @t387 (=> @t528 @t477)))) % 34.04/34.37 (step @p418 :rule trans :premises (@p417 @p398)) % 34.04/34.37 (step @p419 :rule eq-symm :args (@t384 tptp.nil)) % 34.04/34.37 (step @p420 :rule eq-symm :args (@t385 tptp.nil)) % 34.04/34.37 (step @p421 :rule eq-symm :args (@t382 tptp.nil)) % 34.04/34.37 (step @p422 :rule nary_cong :premises (@p421 @p420 @p419) :args (@t479)) % 34.04/34.37 (step @p423 :rule aci_norm :args ((= (or @t522 (or @t520 (or @t518 @t517))) @t523))) % 34.04/34.37 (step @p424 :rule bool-and-de-morgan :args (@t481 @t480 true)) % 34.04/34.37 (step @p425 :rule refl :args (@t520)) % 34.04/34.37 (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or @t520 (not (and @t481 @t480))))) % 34.04/34.37 (step @p427 :rule bool-and-de-morgan :args (@t519 @t481 (and @t480))) % 34.04/34.37 (step @p428 :rule trans :premises (@p427 @p426)) % 34.04/34.37 (step @p429 :rule refl :args (@t522)) % 34.04/34.37 (step @p430 :rule nary_cong :premises (@p429 @p428) :args ((or @t522 (not (and @t519 @t481 @t480))))) % 34.04/34.37 (step @p431 :rule bool-and-de-morgan :args (@t521 @t519 (and @t481 @t480))) % 34.04/34.37 (step @p432 :rule trans :premises (@p431 @p430)) % 34.04/34.37 (step @p433 :rule trans :premises (@p432 @p423)) % 34.04/34.37 (step @p434 :rule cong :premises (@p433) :args (@t530)) % 34.04/34.37 (step @p435 :rule cong :premises (@p434) :args (@t531)) % 34.04/34.37 (step @p436 :rule exists-elim :args ((= (exists @t209 @t529) @t531))) % 34.04/34.37 (step @p437 :rule trans :premises (@p436 @p435)) % 34.04/34.37 (step @p438 :rule refl :args (@t480)) % 34.04/34.37 (step @p439 :rule refl :args (@t481)) % 34.04/34.37 (step @p440 :rule eq-symm :args (@t385 @t207)) % 34.04/34.37 (step @p441 :rule eq-symm :args (@t382 @t5)) % 34.04/34.37 (step @p442 :rule nary_cong :premises (@p441 @p440 @p439 @p438) :args (@t482)) % 34.04/34.37 (step @p443 :rule cong :premises (@p442) :args (@t483)) % 34.04/34.37 (step @p444 :rule trans :premises (@p443 @p437)) % 34.04/34.37 (step @p445 :rule nary_cong :premises (@p444 @p422) :args (@t484)) % 34.04/34.37 (step @p446 :rule cong :premises (@p445 @p373) :args (@t485)) % 34.04/34.37 (step @p447 :rule cong :premises (@p446) :args (@t486)) % 34.04/34.37 (step @p448 :rule trans :premises (@p447 @p418)) % 34.04/34.37 (step @p449 :rule cong :premises (@p448 @p370) :args (@t487)) % 34.04/34.37 (step @p450 :rule eq_resolve :premises (@p366 @p449)) % 34.04/34.37 (step @p451 :rule implies_elim :premises (@p450)) % 34.04/34.37 (step @p452 :rule reordering :premises (@p451) :args ((or @t534 @t533))) % 34.04/34.37 (step @p453 :rule chain_m_resolution :premises (@p452 @p372) :args (@t533 @t535 (@list @t534))) % 34.04/34.37 (step @p454 :rule skolemize :premises (@p453)) % 34.04/34.37 (step @p455 :rule cnf_or_neg :args (@t568 1)) % 34.04/34.37 (step @p456 :rule chain_m_resolution :premises (@p455 @p454) :args (@t569 @t535 @t570)) % 34.04/34.37 (step @p457 :rule instantiate :premises (@p7) :args (@t571)) % 34.04/34.37 (step @p458 :rule refl :args (@t548)) % 34.04/34.37 (step @p459 :rule bool-double-not-elim :args (@t572)) % 34.04/34.37 (step @p460 :rule refl :args (@t565)) % 34.04/34.37 (step @p461 :rule nary_cong :premises (@p460 @p459 @p458) :args ((or @t565 (not @t573) @t548))) % 34.04/34.37 (assume-push @p695 @t564) % 34.04/34.37 (assume-push @p696 @t573) % 34.04/34.37 (assume-push @p697 @t573) % 34.04/34.37 (assume-push @p698 @t564) % 34.04/34.37 (step @p466 :rule false_intro :premises (@p457)) % 34.04/34.37 (step @p467 :rule refl :args (tptp.nil)) % 34.04/34.37 (step @p468 :rule cong :premises (@p467 @p695) :args (@t547)) % 34.04/34.37 (step @p469 :rule trans :premises (@p468 @p466)) % 34.04/34.37 (step @p470 :rule false_elim :premises (@p469)) % 34.04/34.37 (step-pop @p699 :rule scope :premises (@p470)) % 34.04/34.37 (step-pop @p700 :rule scope :premises (@p699)) % 34.04/34.37 (step @p471 :rule process_scope :premises (@p700) :args (@t548)) % 34.04/34.37 (step @p474 :rule and_intro :premises (@p457 @p695)) % 34.04/34.37 (step @p475 :rule modus_ponens :premises (@p474 @p471)) % 34.04/34.37 (step-pop @p701 :rule scope :premises (@p475)) % 34.04/34.37 (step-pop @p702 :rule scope :premises (@p701)) % 34.04/34.37 (step @p476 :rule process_scope :premises (@p702) :args (@t548)) % 34.04/34.37 (step @p479 :rule implies_elim :premises (@p476)) % 34.04/34.37 (step @p480 :rule cnf_and_neg :args (@t574)) % 34.04/34.37 (step @p481 :rule resolution :premises (@p480 @p479) :args (true @t574)) % 34.04/34.37 (step @p482 :rule eq_resolve :premises (@p481 @p461)) % 34.04/34.37 (step @p483 :rule reordering :premises (@p482) :args ((or @t565 @t548 @t572))) % 34.04/34.37 (step @p484 :rule bool-double-not-elim :args (@t547)) % 34.04/34.37 (step @p485 :rule refl :args (@t549)) % 34.04/34.37 (step @p486 :rule nary_cong :premises (@p485 @p484) :args ((or @t549 (not @t548)))) % 34.04/34.37 (step @p487 :rule cnf_or_neg :args (@t549 0)) % 34.04/34.37 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 34.04/34.37 (step @p489 :rule reordering :premises (@p488) :args ((or @t547 @t549))) % 34.04/34.37 (step @p490 :rule cnf_or_neg :args (@t568 0)) % 34.04/34.37 (step @p491 :rule chain_m_resolution :premises (@p490 @p454) :args ((not @t567) @t535 @t570)) % 34.04/34.37 (step @p492 :rule cnf_and_neg :args (@t567)) % 34.04/34.37 (step @p493 :rule bool-double-not-elim :args (@t561)) % 34.04/34.37 (step @p494 :rule refl :args (@t566)) % 34.04/34.37 (step @p495 :rule nary_cong :premises (@p494 @p493) :args ((or @t566 (not @t562)))) % 34.04/34.37 (step @p496 :rule cnf_or_neg :args (@t566 1)) % 34.04/34.37 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 34.04/34.37 (step @p498 :rule reordering :premises (@p497) :args ((or @t561 @t566))) % 34.04/34.37 (step @p499 :rule bool-double-not-elim :args (@t557)) % 34.04/34.37 (step @p500 :rule nary_cong :premises (@p494 @p499) :args ((or @t566 (not @t558)))) % 34.04/34.37 (step @p501 :rule cnf_or_neg :args (@t566 2)) % 34.04/34.37 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 34.04/34.37 (step @p503 :rule reordering :premises (@p502) :args ((or @t557 @t566))) % 34.04/34.37 (step @p504 :rule bool-double-not-elim :args (@t555)) % 34.04/34.37 (step @p505 :rule nary_cong :premises (@p494 @p504) :args ((or @t566 (not @t556)))) % 34.04/34.37 (step @p506 :rule cnf_or_neg :args (@t566 3)) % 34.04/34.37 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 34.04/34.37 (step @p508 :rule reordering :premises (@p507) :args ((or @t555 @t566))) % 34.04/34.37 (step @p509 :rule bool-impl-elim :args (@t475 @t474)) % 34.04/34.37 (step @p510 :rule cong :premises (@p509) :args (@t476)) % 34.04/34.37 (step @p511 :rule eq_resolve :premises (@p365 @p510)) % 34.04/34.37 (step @p512 :rule instantiate :premises (@p511) :args ((@list @t553 @t536 @t550))) % 34.04/34.37 (step @p513 :rule cnf_or_pos :args (@t579)) % 34.04/34.37 (step @p514 :rule reordering :premises (@p513) :args ((or @t558 @t578 (not @t579)))) % 34.04/34.37 (step @p515 :rule cnf_and_pos :args (@t578 0)) % 34.04/34.37 (step @p516 :rule reordering :premises (@p515) :args ((or @t577 @t580))) % 34.04/34.37 (step @p517 :rule cnf_and_pos :args (@t578 1)) % 34.04/34.37 (step @p518 :rule reordering :premises (@p517) :args ((or @t576 @t580))) % 34.04/34.37 (step @p519 :rule cnf_and_pos :args (@t578 2)) % 34.04/34.37 (step @p520 :rule reordering :premises (@p519) :args ((or @t575 @t580))) % 34.04/34.37 (step @p521 :rule bool-impl-elim :args (@t373 @t418)) % 34.04/34.37 (step @p522 :rule cong :premises (@p521) :args (@t419)) % 34.04/34.37 (step @p523 :rule eq_resolve :premises (@p262 @p522)) % 34.04/34.37 (step @p524 :rule instantiate :premises (@p523) :args (@t571)) % 34.04/34.37 (step @p525 :rule cnf_or_pos :args (@t584)) % 34.04/34.37 (step @p526 :rule reordering :premises (@p525) :args ((or @t583 @t582 (not @t584)))) % 34.04/34.37 (step @p527 :rule bool-impl-elim :args (@t373 @t420)) % 34.04/34.37 (step @p528 :rule cong :premises (@p527) :args (@t421)) % 34.04/34.37 (step @p529 :rule eq_resolve :premises (@p263 @p528)) % 34.04/34.37 (step @p530 :rule instantiate :premises (@p529) :args ((@list @t536))) % 34.04/34.37 (step @p531 :rule cnf_or_pos :args (@t587)) % 34.04/34.37 (step @p532 :rule reordering :premises (@p531) :args ((or @t585 @t586 (not @t587)))) % 34.04/34.37 (step @p533 :rule instantiate :premises (@p523) :args ((@list @t559 @t550))) % 34.04/34.37 (step @p534 :rule cnf_or_pos :args (@t592)) % 34.04/34.37 (step @p535 :rule reordering :premises (@p534) :args ((or @t591 @t590 (not @t592)))) % 34.04/34.37 (step @p536 :rule instantiate :premises (@p529) :args ((@list @t550))) % 34.04/34.37 (step @p537 :rule cnf_or_pos :args (@t594)) % 34.04/34.37 (step @p538 :rule reordering :premises (@p537) :args ((or @t593 @t591 (not @t594)))) % 34.04/34.37 (step @p539 :rule aci_norm :args ((= (or (or @t596 @t595) @t335) (or @t596 @t595 @t335)))) % 34.04/34.37 (step @p540 :rule refl :args (@t335)) % 34.04/34.37 (step @p541 :rule bool-and-de-morgan :args (@t303 @t312 true)) % 34.04/34.37 (step @p542 :rule nary_cong :premises (@p541 @p540) :args ((or (not @t329) @t335))) % 34.04/34.37 (step @p543 :rule trans :premises (@p542 @p539)) % 34.04/34.37 (step @p544 :rule bool-impl-elim :args (@t329 @t335)) % 34.04/34.37 (step @p545 :rule trans :premises (@p544 @p543)) % 34.04/34.37 (step @p546 :rule cong :premises (@p545) :args (@t336)) % 34.04/34.37 (step @p547 :rule eq_resolve :premises (@p158 @p546)) % 34.04/34.37 (step @p548 :rule instantiate :premises (@p547) :args ((@list @t537 @t551))) % 34.04/34.37 (step @p549 :rule cnf_or_pos :args (@t601)) % 34.04/34.37 (step @p550 :rule reordering :premises (@p549) :args ((or @t600 @t599 @t598 (not @t601)))) % 34.04/34.37 (step @p551 :rule bool-impl-elim :args (@t303 @t327)) % 34.04/34.37 (step @p552 :rule cong :premises (@p551) :args (@t328)) % 34.04/34.37 (step @p553 :rule eq_resolve :premises (@p153 @p552)) % 34.04/34.37 (step @p554 :rule instantiate :premises (@p553) :args ((@list @t551 @t537))) % 34.04/34.37 (step @p555 :rule cnf_or_pos :args (@t604)) % 34.04/34.37 (step @p556 :rule reordering :premises (@p555) :args ((or @t599 @t603 (not @t604)))) % 34.04/34.37 (assume-push @p703 @t564) % 34.04/34.37 (assume-push @p704 @t561) % 34.04/34.37 (assume-push @p705 @t555) % 34.04/34.37 (assume-push @p706 @t598) % 34.04/34.37 (assume-push @p707 @t582) % 34.04/34.37 (assume-push @p708 @t590) % 34.04/34.37 (assume-push @p709 @t603) % 34.04/34.37 (assume-push @p710 @t561) % 34.04/34.37 (assume-push @p711 @t590) % 34.04/34.37 (assume-push @p712 @t603) % 34.04/34.37 (assume-push @p713 @t598) % 34.04/34.37 (assume-push @p714 @t555) % 34.04/34.37 (assume-push @p715 @t582) % 34.04/34.37 (assume-push @p716 @t564) % 34.04/34.37 (step @p571 :rule refl :args (@t537)) % 34.04/34.37 (step @p572 :rule symm :premises (@p704)) % 34.04/34.37 (step @p573 :rule cong :premises (@p572) :args (@t589)) % 34.04/34.37 (step @p574 :rule symm :premises (@p708)) % 34.04/34.37 (step @p575 :rule trans :premises (@p574 @p573)) % 34.04/34.37 (step @p576 :rule cong :premises (@p575 @p571) :args (@t602)) % 34.04/34.37 (step @p577 :rule symm :premises (@p709)) % 34.04/34.37 (step @p578 :rule trans :premises (@p705 @p706)) % 34.04/34.37 (step @p579 :rule cong :premises (@p578) :args (@t581)) % 34.04/34.37 (step @p580 :rule cong :premises (@p703) :args (@t541)) % 34.04/34.37 (step @p581 :rule trans :premises (@p580 @p707 @p579 @p577 @p576)) % 34.04/34.37 (step-pop @p717 :rule scope :premises (@p581)) % 34.04/34.37 (step-pop @p718 :rule scope :premises (@p717)) % 34.04/34.37 (step-pop @p719 :rule scope :premises (@p718)) % 34.04/34.37 (step-pop @p720 :rule scope :premises (@p719)) % 34.04/34.37 (step-pop @p721 :rule scope :premises (@p720)) % 34.04/34.37 (step-pop @p722 :rule scope :premises (@p721)) % 34.04/34.37 (step-pop @p723 :rule scope :premises (@p722)) % 34.04/34.37 (step @p582 :rule process_scope :premises (@p723) :args (@t542)) % 34.04/34.37 (step @p590 :rule and_intro :premises (@p704 @p708 @p709 @p706 @p705 @p707 @p703)) % 34.04/34.37 (step @p591 :rule modus_ponens :premises (@p590 @p582)) % 34.04/34.37 (step-pop @p724 :rule scope :premises (@p591)) % 34.04/34.37 (step-pop @p725 :rule scope :premises (@p724)) % 34.04/34.37 (step-pop @p726 :rule scope :premises (@p725)) % 34.04/34.37 (step-pop @p727 :rule scope :premises (@p726)) % 34.04/34.37 (step-pop @p728 :rule scope :premises (@p727)) % 34.04/34.37 (step-pop @p729 :rule scope :premises (@p728)) % 34.04/34.37 (step-pop @p730 :rule scope :premises (@p729)) % 34.04/34.37 (step @p592 :rule process_scope :premises (@p730) :args (@t542)) % 34.04/34.37 (step @p600 :rule implies_elim :premises (@p592)) % 34.04/34.37 (step @p601 :rule cnf_and_neg :args (@t605)) % 34.04/34.37 (step @p602 :rule resolution :premises (@p601 @p600) :args (true @t605)) % 34.04/34.37 (step @p603 :rule reordering :premises (@p602) :args ((or @t565 @t562 @t556 @t542 (not @t598) (not @t582) (not @t590) (not @t603)))) % 34.04/34.37 (step @p604 :rule chain_m_resolution :premises (@p603 @p456 @p556 @p554 @p550 @p548 @p538 @p536 @p535 @p533 @p532 @p530 @p526 @p524 @p520 @p518 @p516 @p514 @p512 @p508 @p503 @p498 @p492 @p491 @p489 @p483 @p457) :args (@t565 (@list true false false false false false false false false false false false false false false false false false false false false true true false true true) (@list @t542 @t603 @t604 @t598 @t601 @t593 @t594 @t590 @t592 @t585 @t587 @t582 @t584 @t575 @t576 @t577 @t578 @t579 @t555 @t557 @t561 @t566 @t567 @t549 @t547 @t572))) % 34.04/34.37 (step @p605 :rule bool-double-not-elim :args (@t564)) % 34.04/34.37 (step @p606 :rule nary_cong :premises (@p494 @p605) :args ((or @t566 (not @t565)))) % 34.04/34.37 (step @p607 :rule cnf_or_neg :args (@t566 0)) % 34.04/34.37 (step @p608 :rule eq_resolve :premises (@p607 @p606)) % 34.04/34.37 (step @p609 :rule reordering :premises (@p608) :args ((or @t564 @t566))) % 34.04/34.37 (step @p610 :rule chain_m_resolution :premises (@p609 @p604) :args (@t566 @t535 (@list @t564))) % 34.04/34.37 (step @p611 :rule chain_m_resolution :premises (@p492 @p491 @p610) :args ((not @t549) (@list true false) (@list @t567 @t566))) % 34.04/34.37 (step @p612 :rule chain_m_resolution :premises (@p489 @p611) :args (@t547 @t535 @t606)) % 34.04/34.37 (step @p613 :rule bool-double-not-elim :args (@t545)) % 34.04/34.37 (step @p614 :rule nary_cong :premises (@p485 @p613) :args ((or @t549 (not @t546)))) % 34.04/34.37 (step @p615 :rule cnf_or_neg :args (@t549 1)) % 34.04/34.37 (step @p616 :rule eq_resolve :premises (@p615 @p614)) % 34.04/34.37 (step @p617 :rule reordering :premises (@p616) :args ((or @t545 @t549))) % 34.04/34.37 (step @p618 :rule chain_m_resolution :premises (@p617 @p611) :args (@t545 @t535 @t606)) % 34.04/34.37 (step @p619 :rule bool-double-not-elim :args (@t543)) % 34.04/34.37 (step @p620 :rule nary_cong :premises (@p485 @p619) :args ((or @t549 (not @t544)))) % 34.04/34.37 (step @p621 :rule cnf_or_neg :args (@t549 2)) % 34.04/34.37 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 34.04/34.37 (step @p623 :rule reordering :premises (@p622) :args ((or @t543 @t549))) % 34.04/34.37 (step @p624 :rule chain_m_resolution :premises (@p623 @p611) :args (@t543 @t535 @t606)) % 34.04/34.37 (step @p625 :rule refl :args (@t307)) % 34.04/34.37 (step @p626 :rule symm :premises (@p261)) % 34.04/34.37 (step @p627 :rule cong :premises (@p626 @p625) :args (@t321)) % 34.04/34.37 (step @p628 :rule cong :premises (@p625 @p627) :args (@t607)) % 34.04/34.37 (step @p629 :rule cong :premises (@p628) :args ((forall @t322 @t607))) % 34.04/34.37 (step @p630 :rule eq-symm :args (@t321 @t307)) % 34.04/34.37 (step @p631 :rule cong :premises (@p630) :args (@t323)) % 34.04/34.37 (step @p632 :rule trans :premises (@p631 @p629)) % 34.04/34.37 (step @p633 :rule eq_resolve :premises (@p152 @p632)) % 34.04/34.37 (step @p634 :rule instantiate :premises (@p633) :args ((@list @t537))) % 34.04/34.37 (step @p635 :rule refl :args (@t610)) % 34.04/34.37 (step @p636 :rule bool-double-not-elim :args (@t542)) % 34.04/34.37 (step @p637 :rule refl :args (@t544)) % 34.04/34.37 (step @p638 :rule refl :args (@t546)) % 34.04/34.37 (step @p639 :rule nary_cong :premises (@p458 @p638 @p637 @p636 @p635) :args ((or @t548 @t546 @t544 (not @t569) @t610))) % 34.04/34.37 (assume-push @p731 @t610) % 34.04/34.37 (assume-push @p732 @t609) % 34.04/34.37 (step @p642 :rule evaluate :args ((= false true))) % 34.04/34.37 (step @p643 :rule true_intro :premises (@p634)) % 34.04/34.37 (step @p644 :rule false_intro :premises (@p731)) % 34.04/34.37 (step @p645 :rule symm :premises (@p644)) % 34.04/34.37 (step @p646 :rule trans :premises (@p645 @p643)) % 34.04/34.37 (step @p647 false :rule eq_resolve :premises (@p646 @p642)) % 34.04/34.37 (step-pop @p733 :rule scope :premises (@p647)) % 34.04/34.37 (step-pop @p734 :rule scope :premises (@p733)) % 34.04/34.37 (step @p648 :rule process_scope :premises (@p734) :args (false)) % 34.04/34.37 (assume-push @p735 @t547) % 34.04/34.37 (assume-push @p736 @t545) % 34.04/34.37 (assume-push @p737 @t543) % 34.04/34.37 (assume-push @p738 @t569) % 34.04/34.37 (assume-push @p739 @t609) % 34.04/34.37 (assume-push @p740 @t547) % 34.04/34.37 (assume-push @p741 @t543) % 34.04/34.37 (assume-push @p742 @t569) % 34.04/34.37 (assume-push @p743 @t545) % 34.04/34.37 (step @p660 :rule false_intro :premises (@p456)) % 34.04/34.37 (step @p661 :rule symm :premises (@p737)) % 34.04/34.37 (step @p662 :rule cong :premises (@p661) :args (@t537)) % 34.04/34.37 (step @p663 :rule symm :premises (@p662)) % 34.04/34.37 (step @p664 :rule symm :premises (@p736)) % 34.04/34.37 (step @p665 :rule cong :premises (@p664) :args (@t539)) % 34.04/34.37 (step @p666 :rule trans :premises (@p665 @p663)) % 34.04/34.37 (step @p667 :rule symm :premises (@p666)) % 34.04/34.37 (step @p668 :rule cong :premises (@p667 @p666) :args ((|tptp.'@+'| @t537 @t539))) % 34.04/34.37 (step @p669 :rule cong :premises (@p663 @p667) :args (@t608)) % 34.04/34.37 (step @p670 :rule trans :premises (@p669 @p668)) % 34.04/34.37 (step @p671 :rule cong :premises (@p735) :args (@t415)) % 34.04/34.37 (step @p672 :rule trans :premises (@p662 @p671)) % 34.04/34.37 (step @p673 :rule cong :premises (@p672 @p670) :args (@t609)) % 34.04/34.37 (step @p674 :rule trans :premises (@p673 @p660)) % 34.04/34.37 (step @p675 :rule false_elim :premises (@p674)) % 34.04/34.37 (step-pop @p744 :rule scope :premises (@p675)) % 34.04/34.37 (step-pop @p745 :rule scope :premises (@p744)) % 34.04/34.37 (step-pop @p746 :rule scope :premises (@p745)) % 34.04/34.37 (step-pop @p747 :rule scope :premises (@p746)) % 34.04/34.37 (step @p676 :rule process_scope :premises (@p747) :args (@t610)) % 34.04/34.37 (step @p681 :rule and_intro :premises (@p735 @p737 @p456 @p736)) % 34.04/34.37 (step @p682 :rule modus_ponens :premises (@p681 @p676)) % 34.04/34.37 (step @p683 :rule and_intro :premises (@p682 @p634)) % 34.04/34.37 (step-pop @p748 :rule scope :premises (@p683)) % 34.04/34.37 (step-pop @p749 :rule scope :premises (@p748)) % 34.04/34.37 (step-pop @p750 :rule scope :premises (@p749)) % 34.04/34.37 (step-pop @p751 :rule scope :premises (@p750)) % 34.04/34.37 (step-pop @p752 :rule scope :premises (@p751)) % 34.04/34.37 (step @p684 :rule process_scope :premises (@p752) :args (@t611)) % 34.04/34.37 (step @p690 :rule implies_elim :premises (@p684)) % 34.04/34.37 (step @p691 :rule resolution :premises (@p690 @p648) :args (true @t611)) % 34.04/34.37 (step @p692 :rule not_and :premises (@p691)) % 34.04/34.37 (step @p693 :rule eq_resolve :premises (@p692 @p639)) % 34.04/34.37 (step @p694 false :rule chain_m_resolution :premises (@p693 @p634 @p624 @p618 @p612 @p456) :args (false (@list false false false false true) (@list @t609 @t543 @t545 @t547 @t542))) % 34.04/34.37 ) % 34.04/34.37 % SZS output end Proof % 34.04/34.37 % cvc5 exiting %------------------------------------------------------------------------------