%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX029+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 : n001.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 09:07:00 AM UTC 2026 % Result : Theorem 2.71s 2.94s % Output : Proof 2.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX029+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 : n001.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 22:54:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.57 %----Proving TF0_NAR, FOF, or CNF % 2.71/2.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.71/2.94 % SZS status Theorem % 2.71/2.94 % SZS output start Proof % 2.71/2.94 ( % 2.71/2.94 (declare-sort $$unsorted 0) % 2.71/2.94 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 2.71/2.94 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.integer_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.integer_fails (-> $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'=<_fails'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_ordered_fails (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.mergesort_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.split_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.split_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.merge_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.integer_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.mergesort_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_list_fails (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.split_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_ordered_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.gr (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.mergesort_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_list_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'0'| $$unsorted) % 2.71/2.94 (declare-const tptp.merge_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_ordered_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.int_list_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nil $$unsorted) % 2.71/2.94 (declare-const tptp.merge_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.71/2.94 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 2.71/2.94 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 2.71/2.94 (define @t1 () (@var "Xx3" $$unsorted)) % 2.71/2.94 (define @t2 () (tptp.s @t1)) % 2.71/2.94 (define @t3 () (@var "Xx5" $$unsorted)) % 2.71/2.94 (define @t4 () (@var "Xx4" $$unsorted)) % 2.71/2.94 (define @t5 () (tptp.cons @t4 @t3)) % 2.71/2.94 (define @t6 () (@list @t4 @t3)) % 2.71/2.94 (define @t7 () (@var "Xx7" $$unsorted)) % 2.71/2.94 (define @t8 () (@var "Xx6" $$unsorted)) % 2.71/2.94 (define @t9 () (tptp.s @t7)) % 2.71/2.94 (define @t10 () (@list @t8 @t7)) % 2.71/2.94 (define @t11 () (@var "Xx8" $$unsorted)) % 2.71/2.94 (define @t12 () (@var "Xx11" $$unsorted)) % 2.71/2.94 (define @t13 () (@var "Xx10" $$unsorted)) % 2.71/2.94 (define @t14 () (tptp.cons @t13 @t12)) % 2.71/2.94 (define @t15 () (@var "Xx9" $$unsorted)) % 2.71/2.94 (define @t16 () (@var "Xx13" $$unsorted)) % 2.71/2.94 (define @t17 () (@var "Xx12" $$unsorted)) % 2.71/2.94 (define @t18 () (tptp.cons @t17 @t16)) % 2.71/2.94 (define @t19 () (@var "Xx17" $$unsorted)) % 2.71/2.94 (define @t20 () (@var "Xx15" $$unsorted)) % 2.71/2.94 (define @t21 () (= @t20 @t19)) % 2.71/2.94 (define @t22 () (@var "Xx16" $$unsorted)) % 2.71/2.94 (define @t23 () (@var "Xx14" $$unsorted)) % 2.71/2.94 (define @t24 () (tptp.cons @t23 @t20)) % 2.71/2.94 (define @t25 () (= @t24 (tptp.cons @t22 @t19))) % 2.71/2.94 (define @t26 () (forall (@list @t23 @t20 @t22 @t19) (=> @t25 @t21))) % 2.71/2.94 (define @t27 () (@var "Xx20" $$unsorted)) % 2.71/2.94 (define @t28 () (@var "Xx18" $$unsorted)) % 2.71/2.94 (define @t29 () (@var "Xx21" $$unsorted)) % 2.71/2.94 (define @t30 () (@var "Xx19" $$unsorted)) % 2.71/2.94 (define @t31 () (@var "Xx22" $$unsorted)) % 2.71/2.94 (define @t32 () (@var "Xx24" $$unsorted)) % 2.71/2.94 (define @t33 () (@var "Xx23" $$unsorted)) % 2.71/2.94 (define @t34 () (@var "Xx25" $$unsorted)) % 2.71/2.94 (define @t35 () (tptp.int_ordered_fails @t34)) % 2.71/2.94 (define @t36 () (tptp.int_ordered_succeeds @t34)) % 2.71/2.94 (define @t37 () (@list @t34)) % 2.71/2.94 (define @t38 () (@var "Xx26" $$unsorted)) % 2.71/2.94 (define @t39 () (tptp.int_list_fails @t38)) % 2.71/2.94 (define @t40 () (tptp.int_list_succeeds @t38)) % 2.71/2.94 (define @t41 () (@list @t38)) % 2.71/2.94 (define @t42 () (@var "Xx29" $$unsorted)) % 2.71/2.94 (define @t43 () (@var "Xx28" $$unsorted)) % 2.71/2.94 (define @t44 () (@var "Xx27" $$unsorted)) % 2.71/2.94 (define @t45 () (tptp.merge_fails @t44 @t43 @t42)) % 2.71/2.94 (define @t46 () (tptp.merge_succeeds @t44 @t43 @t42)) % 2.71/2.94 (define @t47 () (@list @t44 @t43 @t42)) % 2.71/2.94 (define @t48 () (@var "Xx32" $$unsorted)) % 2.71/2.94 (define @t49 () (@var "Xx31" $$unsorted)) % 2.71/2.94 (define @t50 () (@var "Xx30" $$unsorted)) % 2.71/2.94 (define @t51 () (tptp.split_fails @t50 @t49 @t48)) % 2.71/2.94 (define @t52 () (tptp.split_succeeds @t50 @t49 @t48)) % 2.71/2.94 (define @t53 () (@list @t50 @t49 @t48)) % 2.71/2.94 (define @t54 () (@var "Xx34" $$unsorted)) % 2.71/2.94 (define @t55 () (@var "Xx33" $$unsorted)) % 2.71/2.94 (define @t56 () (tptp.mergesort_fails @t55 @t54)) % 2.71/2.94 (define @t57 () (tptp.mergesort_succeeds @t55 @t54)) % 2.71/2.94 (define @t58 () (@list @t55 @t54)) % 2.71/2.94 (define @t59 () (@var "Xx37" $$unsorted)) % 2.71/2.94 (define @t60 () (@var "Xx36" $$unsorted)) % 2.71/2.94 (define @t61 () (@var "Xx35" $$unsorted)) % 2.71/2.94 (define @t62 () (tptp.member2_fails @t61 @t60 @t59)) % 2.71/2.94 (define @t63 () (tptp.member2_succeeds @t61 @t60 @t59)) % 2.71/2.94 (define @t64 () (@list @t61 @t60 @t59)) % 2.71/2.94 (define @t65 () (@var "Xx40" $$unsorted)) % 2.71/2.94 (define @t66 () (@var "Xx39" $$unsorted)) % 2.71/2.94 (define @t67 () (@var "Xx38" $$unsorted)) % 2.71/2.94 (define @t68 () (tptp.occ_fails @t67 @t66 @t65)) % 2.71/2.94 (define @t69 () (tptp.occ_succeeds @t67 @t66 @t65)) % 2.71/2.94 (define @t70 () (@list @t67 @t66 @t65)) % 2.71/2.94 (define @t71 () (@var "Xx42" $$unsorted)) % 2.71/2.94 (define @t72 () (@var "Xx41" $$unsorted)) % 2.71/2.94 (define @t73 () (tptp.not_same_occ_fails @t72 @t71)) % 2.71/2.94 (define @t74 () (tptp.not_same_occ_succeeds @t72 @t71)) % 2.71/2.94 (define @t75 () (@list @t72 @t71)) % 2.71/2.94 (define @t76 () (@var "Xx44" $$unsorted)) % 2.71/2.94 (define @t77 () (@var "Xx43" $$unsorted)) % 2.71/2.94 (define @t78 () (tptp.same_occ_fails @t77 @t76)) % 2.71/2.94 (define @t79 () (tptp.same_occ_succeeds @t77 @t76)) % 2.71/2.94 (define @t80 () (@list @t77 @t76)) % 2.71/2.94 (define @t81 () (@var "Xx46" $$unsorted)) % 2.71/2.94 (define @t82 () (@var "Xx45" $$unsorted)) % 2.71/2.94 (define @t83 () (tptp.permutation_fails @t82 @t81)) % 2.71/2.94 (define @t84 () (tptp.permutation_succeeds @t82 @t81)) % 2.71/2.94 (define @t85 () (@list @t82 @t81)) % 2.71/2.94 (define @t86 () (@var "Xx49" $$unsorted)) % 2.71/2.94 (define @t87 () (@var "Xx48" $$unsorted)) % 2.71/2.94 (define @t88 () (@var "Xx47" $$unsorted)) % 2.71/2.94 (define @t89 () (tptp.delete_fails @t88 @t87 @t86)) % 2.71/2.94 (define @t90 () (tptp.delete_succeeds @t88 @t87 @t86)) % 2.71/2.94 (define @t91 () (@list @t88 @t87 @t86)) % 2.71/2.94 (define @t92 () (@var "Xx51" $$unsorted)) % 2.71/2.94 (define @t93 () (@var "Xx50" $$unsorted)) % 2.71/2.94 (define @t94 () (tptp.length_fails @t93 @t92)) % 2.71/2.94 (define @t95 () (tptp.length_succeeds @t93 @t92)) % 2.71/2.94 (define @t96 () (@list @t93 @t92)) % 2.71/2.94 (define @t97 () (@var "Xx54" $$unsorted)) % 2.71/2.94 (define @t98 () (@var "Xx53" $$unsorted)) % 2.71/2.94 (define @t99 () (@var "Xx52" $$unsorted)) % 2.71/2.94 (define @t100 () (tptp.append_fails @t99 @t98 @t97)) % 2.71/2.94 (define @t101 () (tptp.append_succeeds @t99 @t98 @t97)) % 2.71/2.94 (define @t102 () (@list @t99 @t98 @t97)) % 2.71/2.94 (define @t103 () (@var "Xx56" $$unsorted)) % 2.71/2.94 (define @t104 () (@var "Xx55" $$unsorted)) % 2.71/2.94 (define @t105 () (tptp.member_fails @t104 @t103)) % 2.71/2.94 (define @t106 () (tptp.member_succeeds @t104 @t103)) % 2.71/2.94 (define @t107 () (@list @t104 @t103)) % 2.71/2.94 (define @t108 () (@var "Xx57" $$unsorted)) % 2.71/2.94 (define @t109 () (tptp.list_fails @t108)) % 2.71/2.94 (define @t110 () (tptp.list_succeeds @t108)) % 2.71/2.94 (define @t111 () (@list @t108)) % 2.71/2.94 (define @t112 () (@var "Xx58" $$unsorted)) % 2.71/2.94 (define @t113 () (tptp.nat_list_fails @t112)) % 2.71/2.94 (define @t114 () (tptp.nat_list_succeeds @t112)) % 2.71/2.94 (define @t115 () (@list @t112)) % 2.71/2.94 (define @t116 () (@var "Xx61" $$unsorted)) % 2.71/2.94 (define @t117 () (@var "Xx60" $$unsorted)) % 2.71/2.94 (define @t118 () (@var "Xx59" $$unsorted)) % 2.71/2.94 (define @t119 () (tptp.times_fails @t118 @t117 @t116)) % 2.71/2.94 (define @t120 () (tptp.times_succeeds @t118 @t117 @t116)) % 2.71/2.94 (define @t121 () (@list @t118 @t117 @t116)) % 2.71/2.94 (define @t122 () (@var "Xx64" $$unsorted)) % 2.71/2.94 (define @t123 () (@var "Xx63" $$unsorted)) % 2.71/2.94 (define @t124 () (@var "Xx62" $$unsorted)) % 2.71/2.94 (define @t125 () (tptp.plus_fails @t124 @t123 @t122)) % 2.71/2.94 (define @t126 () (tptp.plus_succeeds @t124 @t123 @t122)) % 2.71/2.94 (define @t127 () (@list @t124 @t123 @t122)) % 2.71/2.94 (define @t128 () (@var "Xx66" $$unsorted)) % 2.71/2.94 (define @t129 () (@var "Xx65" $$unsorted)) % 2.71/2.94 (define @t130 () (|tptp.'@=<_fails'| @t129 @t128)) % 2.71/2.94 (define @t131 () (|tptp.'@=<_succeeds'| @t129 @t128)) % 2.71/2.94 (define @t132 () (@list @t129 @t128)) % 2.71/2.94 (define @t133 () (@var "Xx68" $$unsorted)) % 2.71/2.94 (define @t134 () (@var "Xx67" $$unsorted)) % 2.71/2.94 (define @t135 () (|tptp.'@<_fails'| @t134 @t133)) % 2.71/2.94 (define @t136 () (|tptp.'@<_succeeds'| @t134 @t133)) % 2.71/2.94 (define @t137 () (@list @t134 @t133)) % 2.71/2.94 (define @t138 () (@var "Xx69" $$unsorted)) % 2.71/2.94 (define @t139 () (tptp.nat_fails @t138)) % 2.71/2.94 (define @t140 () (tptp.nat_succeeds @t138)) % 2.71/2.94 (define @t141 () (@list @t138)) % 2.71/2.94 (define @t142 () (@var "Xx71" $$unsorted)) % 2.71/2.94 (define @t143 () (@var "Xx70" $$unsorted)) % 2.71/2.94 (define @t144 () (|tptp.'=<_fails'| @t143 @t142)) % 2.71/2.94 (define @t145 () (|tptp.'=<_succeeds'| @t143 @t142)) % 2.71/2.94 (define @t146 () (@list @t143 @t142)) % 2.71/2.94 (define @t147 () (@var "Xx72" $$unsorted)) % 2.71/2.94 (define @t148 () (tptp.integer_fails @t147)) % 2.71/2.94 (define @t149 () (tptp.integer_succeeds @t147)) % 2.71/2.94 (define @t150 () (@list @t147)) % 2.71/2.94 (define @t151 () (@var "Xx74" $$unsorted)) % 2.71/2.94 (define @t152 () (@var "Xx73" $$unsorted)) % 2.71/2.94 (define @t153 () (|tptp.'=<_fails'| @t152 @t151)) % 2.71/2.94 (define @t154 () (|tptp.'=<_succeeds'| @t152 @t151)) % 2.71/2.94 (define @t155 () (@list @t152 @t151)) % 2.71/2.94 (define @t156 () (@var "Xx76" $$unsorted)) % 2.71/2.94 (define @t157 () (@var "Xx75" $$unsorted)) % 2.71/2.94 (define @t158 () (|tptp.'=<_fails'| @t157 @t156)) % 2.71/2.94 (define @t159 () (|tptp.'=<_succeeds'| @t157 @t156)) % 2.71/2.94 (define @t160 () (@list @t157 @t156)) % 2.71/2.94 (define @t161 () (@var "Xx1" $$unsorted)) % 2.71/2.94 (define @t162 () (= @t161 tptp.nil)) % 2.71/2.94 (define @t163 () (= @t161 (tptp.cons @t3 tptp.nil))) % 2.71/2.94 (define @t164 () (@list @t3)) % 2.71/2.94 (define @t165 () (tptp.cons @t1 @t4)) % 2.71/2.94 (define @t166 () (@var "Xx2" $$unsorted)) % 2.71/2.94 (define @t167 () (= @t161 (tptp.cons @t166 @t165))) % 2.71/2.94 (define @t168 () (@list @t166 @t1 @t4)) % 2.71/2.94 (define @t169 () (@list @t161)) % 2.71/2.94 (define @t170 () (not @t162)) % 2.71/2.94 (define @t171 () (|tptp.'=<_fails'| @t166 @t1)) % 2.71/2.94 (define @t172 () (not @t167)) % 2.71/2.94 (define @t173 () (forall @t164 true)) % 2.71/2.94 (define @t174 () (= @t161 (tptp.cons @t166 @t1))) % 2.71/2.94 (define @t175 () (@list @t166 @t1)) % 2.71/2.94 (define @t176 () (tptp.integer_fails @t166)) % 2.71/2.94 (define @t177 () (not @t174)) % 2.71/2.94 (define @t178 () (= @t1 @t166)) % 2.71/2.94 (define @t179 () (and @t162 @t178)) % 2.71/2.94 (define @t180 () (= @t1 @t161)) % 2.71/2.94 (define @t181 () (= @t166 tptp.nil)) % 2.71/2.94 (define @t182 () (= @t23 @t13)) % 2.71/2.94 (define @t183 () (= @t1 @t24)) % 2.71/2.94 (define @t184 () (= @t166 @t18)) % 2.71/2.94 (define @t185 () (= @t161 @t14)) % 2.71/2.94 (define @t186 () (@list @t13 @t12 @t17 @t16 @t23 @t20)) % 2.71/2.94 (define @t187 () (= @t11 @t8)) % 2.71/2.94 (define @t188 () (= @t1 (tptp.cons @t11 @t15))) % 2.71/2.94 (define @t189 () (= @t166 (tptp.cons @t8 @t7))) % 2.71/2.94 (define @t190 () (= @t161 @t5)) % 2.71/2.94 (define @t191 () (@list @t4 @t3 @t8 @t7 @t11 @t15)) % 2.71/2.94 (define @t192 () (@list @t161 @t166 @t1)) % 2.71/2.94 (define @t193 () (not @t178)) % 2.71/2.94 (define @t194 () (or @t170 @t193)) % 2.71/2.94 (define @t195 () (not @t181)) % 2.71/2.94 (define @t196 () (not @t182)) % 2.71/2.94 (define @t197 () (|tptp.'=<_fails'| @t13 @t17)) % 2.71/2.94 (define @t198 () (not @t183)) % 2.71/2.94 (define @t199 () (not @t184)) % 2.71/2.94 (define @t200 () (not @t185)) % 2.71/2.94 (define @t201 () (not @t187)) % 2.71/2.94 (define @t202 () (|tptp.'=<_succeeds'| @t4 @t8)) % 2.71/2.94 (define @t203 () (not @t188)) % 2.71/2.94 (define @t204 () (not @t189)) % 2.71/2.94 (define @t205 () (not @t190)) % 2.71/2.94 (define @t206 () (or @t170 true)) % 2.71/2.94 (define @t207 () (or @t195 true)) % 2.71/2.94 (define @t208 () (tptp.gr @t4)) % 2.71/2.94 (define @t209 () (= @t1 tptp.nil)) % 2.71/2.94 (define @t210 () (and @t162 @t181 @t209)) % 2.71/2.94 (define @t211 () (tptp.split_succeeds @t3 @t1 @t8)) % 2.71/2.94 (define @t212 () (tptp.cons @t4 @t8)) % 2.71/2.94 (define @t213 () (= @t166 @t212)) % 2.71/2.94 (define @t214 () (and @t190 @t213 @t211)) % 2.71/2.94 (define @t215 () (@list @t4 @t3 @t8)) % 2.71/2.94 (define @t216 () (exists @t215 @t214)) % 2.71/2.94 (define @t217 () (or @t216 @t210)) % 2.71/2.94 (define @t218 () (tptp.split_succeeds @t161 @t166 @t1)) % 2.71/2.94 (define @t219 () (= @t218 @t217)) % 2.71/2.94 (define @t220 () (forall @t192 @t219)) % 2.71/2.94 (define @t221 () (not @t213)) % 2.71/2.94 (define @t222 () (and @t162 @t181)) % 2.71/2.94 (define @t223 () (tptp.cons @t13 tptp.nil)) % 2.71/2.94 (define @t224 () (= @t166 @t223)) % 2.71/2.94 (define @t225 () (= @t161 @t223)) % 2.71/2.94 (define @t226 () (@list @t13)) % 2.71/2.94 (define @t227 () (tptp.cons @t1 @t5)) % 2.71/2.94 (define @t228 () (= @t161 @t227)) % 2.71/2.94 (define @t229 () (@list @t1 @t4 @t3 @t8 @t7 @t11 @t15)) % 2.71/2.94 (define @t230 () (@list @t161 @t166)) % 2.71/2.94 (define @t231 () (or @t170 @t195)) % 2.71/2.94 (define @t232 () (not @t225)) % 2.71/2.94 (define @t233 () (tptp.mergesort_fails @t7 @t15)) % 2.71/2.94 (define @t234 () (tptp.mergesort_fails @t8 @t11)) % 2.71/2.94 (define @t235 () (tptp.split_fails @t227 @t8 @t7)) % 2.71/2.94 (define @t236 () (not @t228)) % 2.71/2.94 (define @t237 () (tptp.member_succeeds @t161 @t166)) % 2.71/2.94 (define @t238 () (tptp.member_fails @t161 @t166)) % 2.71/2.94 (define @t239 () (tptp.member_terminates @t161 @t166)) % 2.71/2.94 (define @t240 () (= @t1 |tptp.'0'|)) % 2.71/2.94 (define @t241 () (= @t1 @t9)) % 2.71/2.94 (define @t242 () (= @t166 (tptp.cons @t161 @t8))) % 2.71/2.94 (define @t243 () (= @t161 @t4)) % 2.71/2.94 (define @t244 () (= @t166 @t5)) % 2.71/2.94 (define @t245 () (not @t240)) % 2.71/2.94 (define @t246 () (not @t241)) % 2.71/2.94 (define @t247 () (not @t242)) % 2.71/2.94 (define @t248 () (not @t244)) % 2.71/2.94 (define @t249 () (tptp.gr @t161)) % 2.71/2.94 (define @t250 () (= @t4 @t3)) % 2.71/2.94 (define @t251 () (@list @t1 @t4 @t3)) % 2.71/2.94 (define @t252 () (tptp.not_same_occ_succeeds @t161 @t166)) % 2.71/2.94 (define @t253 () (tptp.occ_fails @t1 @t166 @t3)) % 2.71/2.94 (define @t254 () (tptp.occ_fails @t1 @t161 @t4)) % 2.71/2.94 (define @t255 () (tptp.member2_fails @t1 @t161 @t166)) % 2.71/2.94 (define @t256 () (tptp.not_same_occ_fails @t161 @t166)) % 2.71/2.94 (define @t257 () (tptp.not_same_occ_terminates @t161 @t166)) % 2.71/2.94 (define @t258 () (= @t166 @t165)) % 2.71/2.94 (define @t259 () (tptp.delete_fails @t1 @t161 @t3)) % 2.71/2.94 (define @t260 () (not @t258)) % 2.71/2.94 (define @t261 () (= @t166 (tptp.cons @t161 @t1))) % 2.71/2.94 (define @t262 () (= @t1 @t212)) % 2.71/2.94 (define @t263 () (not @t262)) % 2.71/2.94 (define @t264 () (= @t166 |tptp.'0'|)) % 2.71/2.94 (define @t265 () (tptp.s @t3)) % 2.71/2.94 (define @t266 () (= @t166 @t265)) % 2.71/2.94 (define @t267 () (= @t161 @t165)) % 2.71/2.94 (define @t268 () (not @t266)) % 2.71/2.94 (define @t269 () (not @t267)) % 2.71/2.94 (define @t270 () (= @t166 (tptp.cons @t161 @t3))) % 2.71/2.94 (define @t271 () (@list @t1 @t4)) % 2.71/2.94 (define @t272 () (tptp.nat_succeeds @t166)) % 2.71/2.94 (define @t273 () (tptp.nat_fails @t166)) % 2.71/2.94 (define @t274 () (tptp.nat_terminates @t166)) % 2.71/2.94 (define @t275 () (= @t161 |tptp.'0'|)) % 2.71/2.94 (define @t276 () (tptp.s @t4)) % 2.71/2.94 (define @t277 () (= @t161 @t276)) % 2.71/2.94 (define @t278 () (not @t275)) % 2.71/2.94 (define @t279 () (tptp.times_fails @t4 @t166 @t3)) % 2.71/2.94 (define @t280 () (not @t277)) % 2.71/2.94 (define @t281 () (or @t278 true)) % 2.71/2.94 (define @t282 () (= @t1 @t265)) % 2.71/2.94 (define @t283 () (not @t282)) % 2.71/2.94 (define @t284 () (= @t166 @t276)) % 2.71/2.94 (define @t285 () (= @t161 @t2)) % 2.71/2.94 (define @t286 () (not @t284)) % 2.71/2.94 (define @t287 () (not @t285)) % 2.71/2.94 (define @t288 () (and @t275 @t266)) % 2.71/2.94 (define @t289 () (exists @t164 @t288)) % 2.71/2.94 (define @t290 () (|tptp.'@<_succeeds'| @t1 @t4)) % 2.71/2.94 (define @t291 () (and @t285 @t284 @t290)) % 2.71/2.94 (define @t292 () (exists @t271 @t291)) % 2.71/2.94 (define @t293 () (or @t292 @t289)) % 2.71/2.94 (define @t294 () (|tptp.'@<_succeeds'| @t161 @t166)) % 2.71/2.94 (define @t295 () (= @t294 @t293)) % 2.71/2.94 (define @t296 () (forall @t230 @t295)) % 2.71/2.94 (define @t297 () (= @t161 (tptp.s @t166))) % 2.71/2.94 (define @t298 () (@list @t166)) % 2.71/2.94 (define @t299 () (tptp.nat_succeeds @t161)) % 2.71/2.94 (define @t300 () (not @t297)) % 2.71/2.94 (define @t301 () (@var "Xx78" $$unsorted)) % 2.71/2.94 (define @t302 () (@var "Xx77" $$unsorted)) % 2.71/2.94 (define @t303 () (@var "Xx80" $$unsorted)) % 2.71/2.94 (define @t304 () (@var "Xx79" $$unsorted)) % 2.71/2.94 (define @t305 () (@var "Xx82" $$unsorted)) % 2.71/2.94 (define @t306 () (@var "Xx81" $$unsorted)) % 2.71/2.94 (define @t307 () (@var "Xx83" $$unsorted)) % 2.71/2.94 (define @t308 () (@var "Xx84" $$unsorted)) % 2.71/2.94 (define @t309 () (@var "Xx85" $$unsorted)) % 2.71/2.94 (define @t310 () (@var "Xx87" $$unsorted)) % 2.71/2.94 (define @t311 () (@var "Xx86" $$unsorted)) % 2.71/2.94 (define @t312 () (@var "Xx89" $$unsorted)) % 2.71/2.94 (define @t313 () (@var "Xx88" $$unsorted)) % 2.71/2.94 (define @t314 () (@var "Xx91" $$unsorted)) % 2.71/2.94 (define @t315 () (@var "Xx90" $$unsorted)) % 2.71/2.94 (define @t316 () (@var "Xx93" $$unsorted)) % 2.71/2.94 (define @t317 () (@var "Xx92" $$unsorted)) % 2.71/2.94 (define @t318 () (@var "Xx95" $$unsorted)) % 2.71/2.94 (define @t319 () (@var "Xx94" $$unsorted)) % 2.71/2.94 (define @t320 () (@var "Xx97" $$unsorted)) % 2.71/2.94 (define @t321 () (@var "Xx96" $$unsorted)) % 2.71/2.94 (define @t322 () (@var "Xx" $$unsorted)) % 2.71/2.94 (define @t323 () (tptp.nat_succeeds @t322)) % 2.71/2.94 (define @t324 () (@list @t322)) % 2.71/2.94 (define @t325 () (tptp.gr @t322)) % 2.71/2.94 (define @t326 () (@var "Xz" $$unsorted)) % 2.71/2.94 (define @t327 () (@var "Xy" $$unsorted)) % 2.71/2.94 (define @t328 () (tptp.plus_terminates @t322 @t327 @t326)) % 2.71/2.94 (define @t329 () (@list @t322 @t327 @t326)) % 2.71/2.94 (define @t330 () (tptp.nat_succeeds @t326)) % 2.71/2.94 (define @t331 () (tptp.plus_succeeds @t322 @t327 @t326)) % 2.71/2.94 (define @t332 () (tptp.nat_succeeds @t327)) % 2.71/2.94 (define @t333 () (tptp.gr @t326)) % 2.71/2.94 (define @t334 () (tptp.gr @t327)) % 2.71/2.94 (define @t335 () (@list @t326)) % 2.71/2.94 (define @t336 () (@list @t322 @t327)) % 2.71/2.94 (define @t337 () (@var "Xz2" $$unsorted)) % 2.71/2.94 (define @t338 () (@var "Xz1" $$unsorted)) % 2.71/2.94 (define @t339 () (= @t338 @t337)) % 2.71/2.94 (define @t340 () (@list @t322 @t327 @t338 @t337)) % 2.71/2.94 (define @t341 () (@list @t327)) % 2.71/2.94 (define @t342 () (|tptp.'@+'| @t322 @t327)) % 2.71/2.94 (define @t343 () (tptp.s @t322)) % 2.71/2.94 (define @t344 () (|tptp.'@+'| @t343 @t327)) % 2.71/2.94 (define @t345 () (and @t323 @t332)) % 2.71/2.94 (define @t346 () (|tptp.'@+'| @t327 @t326)) % 2.71/2.94 (define @t347 () (and @t323 @t332 @t330)) % 2.71/2.94 (define @t348 () (tptp.s @t327)) % 2.71/2.94 (define @t349 () (|tptp.'@+'| @t322 @t348)) % 2.71/2.94 (define @t350 () (|tptp.'@+'| @t327 @t322)) % 2.71/2.94 (define @t351 () (|tptp.'@+'| @t322 @t326)) % 2.71/2.94 (define @t352 () (tptp.times_succeeds @t322 @t327 @t326)) % 2.71/2.94 (define @t353 () (|tptp.'@*'| @t322 @t327)) % 2.71/2.94 (define @t354 () (|tptp.'@*'| @t343 @t327)) % 2.71/2.94 (define @t355 () (|tptp.'@*'| @t327 @t326)) % 2.71/2.94 (define @t356 () (|tptp.'@*'| @t322 @t326)) % 2.71/2.94 (define @t357 () (|tptp.'@*'| @t327 @t322)) % 2.71/2.94 (define @t358 () (tptp.s |tptp.'0'|)) % 2.71/2.94 (define @t359 () (|tptp.'@<_terminates'| @t322 @t327)) % 2.71/2.94 (define @t360 () (|tptp.'@<_succeeds'| @t322 @t327)) % 2.71/2.94 (define @t361 () (tptp.s @t326)) % 2.71/2.94 (define @t362 () (|tptp.'@<_succeeds'| @t322 @t326)) % 2.71/2.94 (define @t363 () (|tptp.'@<_succeeds'| @t322 @t348)) % 2.71/2.94 (define @t364 () (|tptp.'@<_succeeds'| @t327 @t326)) % 2.71/2.94 (define @t365 () (not (|tptp.'@<_succeeds'| @t322 @t322))) % 2.71/2.94 (define @t366 () (forall @t324 (=> @t323 @t365))) % 2.71/2.94 (define @t367 () (|tptp.'@<_succeeds'| @t322 @t343)) % 2.71/2.94 (define @t368 () (forall @t324 (=> @t323 @t367))) % 2.71/2.94 (define @t369 () (= @t322 @t327)) % 2.71/2.94 (define @t370 () (or @t360 @t369)) % 2.71/2.94 (define @t371 () (not (= @t322 |tptp.'0'|))) % 2.71/2.94 (define @t372 () (|tptp.'@=<_succeeds'| @t322 @t327)) % 2.71/2.94 (define @t373 () (forall @t336 (=> @t372 @t323))) % 2.71/2.94 (define @t374 () (|tptp.'@=<_succeeds'| @t327 @t322)) % 2.71/2.94 (define @t375 () (and @t372 @t332)) % 2.71/2.94 (define @t376 () (forall @t336 (=> @t375 @t370))) % 2.71/2.94 (define @t377 () (|tptp.'@=<_succeeds'| @t327 @t326)) % 2.71/2.94 (define @t378 () (and @t372 @t374)) % 2.71/2.94 (define @t379 () (forall @t336 (=> @t378 @t369))) % 2.71/2.94 (define @t380 () (|tptp.'@<_succeeds'| @t342 @t351)) % 2.71/2.94 (define @t381 () (|tptp.'@<_succeeds'| @t322 @t349)) % 2.71/2.94 (define @t382 () (forall @t336 (=> @t323 @t381))) % 2.71/2.94 (define @t383 () (|tptp.'@<_succeeds'| @t351 @t346)) % 2.71/2.94 (define @t384 () (|tptp.'@=<_succeeds'| @t342 @t351)) % 2.71/2.94 (define @t385 () (and @t372 @t332 @t330)) % 2.71/2.94 (define @t386 () (|tptp.'@=<_succeeds'| @t322 @t342)) % 2.71/2.94 (define @t387 () (forall @t336 (=> @t323 @t386))) % 2.71/2.94 (define @t388 () (|tptp.'@=<_succeeds'| @t327 @t342)) % 2.71/2.94 (define @t389 () (forall @t336 (=> @t345 @t388))) % 2.71/2.94 (define @t390 () (@var "Xy2" $$unsorted)) % 2.71/2.94 (define @t391 () (@var "Xy1" $$unsorted)) % 2.71/2.94 (define @t392 () (|tptp.'@+'| @t391 @t390)) % 2.71/2.94 (define @t393 () (|tptp.'@+'| @t161 @t166)) % 2.71/2.94 (define @t394 () (tptp.nat_succeeds @t391)) % 2.71/2.94 (define @t395 () (|tptp.'@=<_succeeds'| @t166 @t390)) % 2.71/2.94 (define @t396 () (|tptp.'@=<_succeeds'| @t161 @t391)) % 2.71/2.94 (define @t397 () (@list @t161 @t166 @t391 @t390)) % 2.71/2.94 (define @t398 () (|tptp.'@<_succeeds'| @t393 @t392)) % 2.71/2.94 (define @t399 () (|tptp.'@<_succeeds'| @t161 @t391)) % 2.71/2.94 (define @t400 () (|tptp.'@<_succeeds'| @t166 @t390)) % 2.71/2.94 (define @t401 () (@var "Xl" $$unsorted)) % 2.71/2.94 (define @t402 () (tptp.list_succeeds @t401)) % 2.71/2.94 (define @t403 () (tptp.cons @t322 @t401)) % 2.71/2.94 (define @t404 () (tptp.list_succeeds @t403)) % 2.71/2.94 (define @t405 () (@list @t322 @t401)) % 2.71/2.94 (define @t406 () (forall @t405 (=> @t404 @t402))) % 2.71/2.94 (define @t407 () (@list @t401)) % 2.71/2.94 (define @t408 () (tptp.member_fails @t322 @t401)) % 2.71/2.94 (define @t409 () (tptp.member_succeeds @t322 @t401)) % 2.71/2.94 (define @t410 () (tptp.gr @t401)) % 2.71/2.94 (define @t411 () (not @t369)) % 2.71/2.94 (define @t412 () (tptp.cons @t327 @t401)) % 2.71/2.94 (define @t413 () (@var "Xl1" $$unsorted)) % 2.71/2.94 (define @t414 () (tptp.list_succeeds @t413)) % 2.71/2.94 (define @t415 () (@var "Xl3" $$unsorted)) % 2.71/2.94 (define @t416 () (@var "Xl2" $$unsorted)) % 2.71/2.94 (define @t417 () (tptp.append_succeeds @t413 @t416 @t415)) % 2.71/2.94 (define @t418 () (@list @t413 @t416 @t415)) % 2.71/2.94 (define @t419 () (tptp.list_succeeds @t415)) % 2.71/2.94 (define @t420 () (tptp.list_succeeds @t416)) % 2.71/2.94 (define @t421 () (and @t417 @t419)) % 2.71/2.94 (define @t422 () (and @t414 @t420)) % 2.71/2.94 (define @t423 () (tptp.append_terminates @t413 @t416 @t415)) % 2.71/2.94 (define @t424 () (tptp.gr @t415)) % 2.71/2.94 (define @t425 () (tptp.gr @t416)) % 2.71/2.94 (define @t426 () (tptp.gr @t413)) % 2.71/2.94 (define @t427 () (and @t426 @t425)) % 2.71/2.94 (define @t428 () (@list @t413 @t416)) % 2.71/2.94 (define @t429 () (@var "Xl4" $$unsorted)) % 2.71/2.94 (define @t430 () (@list @t413 @t416 @t415 @t429)) % 2.71/2.94 (define @t431 () (|tptp.'**'| @t413 @t416)) % 2.71/2.94 (define @t432 () (tptp.cons @t322 @t413)) % 2.71/2.94 (define @t433 () (@list @t322 @t413 @t416)) % 2.71/2.94 (define @t434 () (tptp.list_succeeds @t431)) % 2.71/2.94 (define @t435 () (tptp.gr @t431)) % 2.71/2.94 (define @t436 () (|tptp.'**'| @t416 @t415)) % 2.71/2.94 (define @t437 () (@var "Xn" $$unsorted)) % 2.71/2.94 (define @t438 () (tptp.nat_succeeds @t437)) % 2.71/2.94 (define @t439 () (and @t402 @t438)) % 2.71/2.94 (define @t440 () (tptp.length_succeeds @t401 @t437)) % 2.71/2.94 (define @t441 () (@list @t401 @t437)) % 2.71/2.94 (define @t442 () (tptp.gr @t437)) % 2.71/2.94 (define @t443 () (@list @t437)) % 2.71/2.94 (define @t444 () (@var "Xm" $$unsorted)) % 2.71/2.94 (define @t445 () (= @t444 @t437)) % 2.71/2.94 (define @t446 () (tptp.lh tptp.nil)) % 2.71/2.94 (define @t447 () (tptp.lh @t401)) % 2.71/2.94 (define @t448 () (tptp.lh @t403)) % 2.71/2.94 (define @t449 () (= @t448 (tptp.s @t447))) % 2.71/2.94 (define @t450 () (forall @t405 (=> @t402 @t449))) % 2.71/2.94 (define @t451 () (tptp.nat_succeeds @t447)) % 2.71/2.94 (define @t452 () (forall @t407 (=> @t402 @t451))) % 2.71/2.94 (define @t453 () (= @t401 tptp.nil)) % 2.71/2.94 (define @t454 () (tptp.cons @t322 @t416)) % 2.71/2.94 (define @t455 () (tptp.s @t437)) % 2.71/2.94 (define @t456 () (tptp.lh @t413)) % 2.71/2.94 (define @t457 () (tptp.lh @t416)) % 2.71/2.94 (define @t458 () (|tptp.'@+'| @t456 @t457)) % 2.71/2.94 (define @t459 () (tptp.lh @t431)) % 2.71/2.94 (define @t460 () (|tptp.'@=<_succeeds'| @t447 @t448)) % 2.71/2.94 (define @t461 () (forall @t405 (=> @t402 @t460))) % 2.71/2.94 (define @t462 () (tptp.lh @t415)) % 2.71/2.94 (define @t463 () (@var "Xi" $$unsorted)) % 2.71/2.94 (define @t464 () (tptp.cons @t322 @t463)) % 2.71/2.94 (define @t465 () (@var "Xk" $$unsorted)) % 2.71/2.94 (define @t466 () (@var "Xj" $$unsorted)) % 2.71/2.94 (define @t467 () (tptp.sub @t463 @t466)) % 2.71/2.94 (define @t468 () (@list @t322 @t463 @t466)) % 2.71/2.94 (define @t469 () (tptp.append_succeeds @t413 @t454 @t415)) % 2.71/2.94 (define @t470 () (tptp.member_succeeds @t322 @t415)) % 2.71/2.94 (define @t471 () (tptp.member_succeeds @t322 @t413)) % 2.71/2.94 (define @t472 () (@list @t322 @t413 @t416 @t415)) % 2.71/2.94 (define @t473 () (tptp.member_succeeds @t322 @t416)) % 2.71/2.94 (define @t474 () (tptp.member_succeeds @t322 @t431)) % 2.71/2.94 (define @t475 () (or @t471 @t473)) % 2.71/2.94 (define @t476 () (tptp.nat_list_succeeds @t401)) % 2.71/2.94 (define @t477 () (|tptp.'@<_succeeds'| @t458 @t437)) % 2.71/2.94 (define @t478 () (tptp.delete_terminates @t322 @t413 @t416)) % 2.71/2.94 (define @t479 () (tptp.delete_succeeds @t322 @t413 @t416)) % 2.71/2.94 (define @t480 () (and @t479 @t414)) % 2.71/2.94 (define @t481 () (|tptp.'**'| @t415 @t429)) % 2.71/2.94 (define @t482 () (tptp.nat_list_succeeds @t416)) % 2.71/2.94 (define @t483 () (tptp.nat_list_succeeds @t413)) % 2.71/2.94 (define @t484 () (tptp.member_succeeds @t327 @t416)) % 2.71/2.94 (define @t485 () (tptp.member_succeeds @t327 @t413)) % 2.71/2.94 (define @t486 () (@list @t322 @t327 @t413 @t416)) % 2.71/2.94 (define @t487 () (@list @t416)) % 2.71/2.94 (define @t488 () (exists @t487 @t479)) % 2.71/2.94 (define @t489 () (tptp.permutation_succeeds @t413 @t416)) % 2.71/2.94 (define @t490 () (tptp.permutation_terminates @t413 @t416)) % 2.71/2.94 (define @t491 () (@list @t322 @t401 @t437)) % 2.71/2.94 (define @t492 () (tptp.occ_succeeds @t322 @t401 @t437)) % 2.71/2.94 (define @t493 () (and @t414 @t420 @t426 @t425)) % 2.71/2.94 (define @t494 () (tptp.occ_succeeds @t322 @t401 @t444)) % 2.71/2.94 (define @t495 () (tptp.occ @t322 @t401)) % 2.71/2.94 (define @t496 () (tptp.occ @t322 @t416)) % 2.71/2.94 (define @t497 () (tptp.occ @t322 @t413)) % 2.71/2.94 (define @t498 () (forall @t324 (= @t497 @t496))) % 2.71/2.94 (define @t499 () (tptp.same_occ_succeeds @t413 @t416)) % 2.71/2.94 (define @t500 () (= @t495 |tptp.'0'|)) % 2.71/2.94 (define @t501 () (and @t414 @t420 @t499)) % 2.71/2.94 (define @t502 () (tptp.permutation_succeeds @t413 @t415)) % 2.71/2.94 (define @t503 () (= @t495 @t455)) % 2.71/2.94 (define @t504 () (tptp.integer_succeeds @t327)) % 2.71/2.94 (define @t505 () (tptp.integer_succeeds @t322)) % 2.71/2.94 (define @t506 () (and @t414 @t420 @t419)) % 2.71/2.94 (define @t507 () (tptp.split_succeeds @t413 @t416 @t415)) % 2.71/2.94 (define @t508 () (forall @t418 (=> @t507 @t506))) % 2.71/2.94 (define @t509 () (= @t456 (|tptp.'@+'| @t457 @t462))) % 2.71/2.94 (define @t510 () (forall @t418 (=> @t507 @t509))) % 2.71/2.94 (define @t511 () (tptp.int_list_succeeds @t415)) % 2.71/2.94 (define @t512 () (tptp.int_list_succeeds @t416)) % 2.71/2.94 (define @t513 () (tptp.int_list_succeeds @t413)) % 2.71/2.94 (define @t514 () (tptp.merge_terminates @t413 @t416 @t415)) % 2.71/2.94 (define @t515 () (tptp.cons @t322 (tptp.cons @t327 @t413))) % 2.71/2.94 (define @t516 () (tptp.lh @t515)) % 2.71/2.94 (define @t517 () (and (|tptp.'@<_succeeds'| @t457 @t516) (|tptp.'@<_succeeds'| @t462 @t516))) % 2.71/2.94 (define @t518 () (tptp.split_succeeds @t515 @t416 @t415)) % 2.71/2.94 (define @t519 () (@list @t322 @t327 @t413 @t416 @t415)) % 2.71/2.94 (define @t520 () (forall @t519 (=> @t518 @t517))) % 2.71/2.94 (define @t521 () (not @t520)) % 2.71/2.94 (define @t522 () (not @t211)) % 2.71/2.94 (define @t523 () (= @t5 @t161)) % 2.71/2.94 (define @t524 () (not @t523)) % 2.71/2.94 (define @t525 () (or @t524 @t221 @t522)) % 2.71/2.94 (define @t526 () (and @t523 @t213 @t211)) % 2.71/2.94 (define @t527 () (forall @t215 (not @t526))) % 2.71/2.94 (define @t528 () (not @t527)) % 2.71/2.94 (define @t529 () (forall @t519 (or (not @t518) @t517))) % 2.71/2.94 (define @t530 () (@quantifiers_skolemize @t529 4)) % 2.71/2.94 (define @t531 () (not (tptp.split_succeeds @t3 @t530 @t8))) % 2.71/2.94 (define @t532 () (@quantifiers_skolemize @t529 3)) % 2.71/2.94 (define @t533 () (@quantifiers_skolemize @t529 2)) % 2.71/2.94 (define @t534 () (@quantifiers_skolemize @t529 1)) % 2.71/2.94 (define @t535 () (tptp.cons @t534 @t533)) % 2.71/2.94 (define @t536 () (@quantifiers_skolemize @t529 0)) % 2.71/2.94 (define @t537 () (tptp.cons @t536 @t535)) % 2.71/2.94 (define @t538 () (not (= @t5 @t537))) % 2.71/2.94 (define @t539 () (forall @t215 (or @t538 (not (= @t212 @t532)) @t531))) % 2.71/2.94 (define @t540 () (@quantifiers_skolemize @t539 2)) % 2.71/2.94 (define @t541 () (= tptp.nil @t530)) % 2.71/2.94 (define @t542 () (@quantifiers_skolemize @t539 1)) % 2.71/2.94 (define @t543 () (= tptp.nil @t542)) % 2.71/2.94 (define @t544 () (and @t543 @t541 (= @t540 tptp.nil))) % 2.71/2.94 (define @t545 () (not (tptp.split_succeeds @t3 @t540 @t8))) % 2.71/2.94 (define @t546 () (not (= @t530 @t212))) % 2.71/2.94 (define @t547 () (not (= @t5 @t542))) % 2.71/2.94 (define @t548 () (or @t547 @t546 @t545)) % 2.71/2.94 (define @t549 () (forall @t215 @t548)) % 2.71/2.94 (define @t550 () (not @t549)) % 2.71/2.94 (define @t551 () (or @t550 @t544)) % 2.71/2.94 (define @t552 () (tptp.split_succeeds @t542 @t530 @t540)) % 2.71/2.94 (define @t553 () (= @t552 @t551)) % 2.71/2.94 (define @t554 () (forall @t192 (= @t218 (or (not (forall @t215 @t525)) (and (= tptp.nil @t161) (= tptp.nil @t166) @t209))))) % 2.71/2.94 (define @t555 () (@list @t542 @t530 @t540)) % 2.71/2.94 (define @t556 () (and @t543 @t541 (= tptp.nil @t540))) % 2.71/2.94 (define @t557 () (forall @t215 (or @t547 (not (= @t212 @t530)) @t545))) % 2.71/2.94 (define @t558 () (not @t557)) % 2.71/2.94 (define @t559 () (or @t558 @t556)) % 2.71/2.94 (define @t560 () (= @t552 @t559)) % 2.71/2.94 (define @t561 () (@list false)) % 2.71/2.94 (define @t562 () (@list @t554)) % 2.71/2.94 (define @t563 () (= tptp.nil @t532)) % 2.71/2.94 (define @t564 () (= tptp.nil @t537)) % 2.71/2.94 (define @t565 () (and @t564 @t563 (= @t530 tptp.nil))) % 2.71/2.94 (define @t566 () (not (= @t532 @t212))) % 2.71/2.94 (define @t567 () (or @t538 @t566 @t531)) % 2.71/2.94 (define @t568 () (forall @t215 @t567)) % 2.71/2.94 (define @t569 () (not @t568)) % 2.71/2.94 (define @t570 () (or @t569 @t565)) % 2.71/2.94 (define @t571 () (tptp.split_succeeds @t537 @t532 @t530)) % 2.71/2.94 (define @t572 () (= @t571 @t570)) % 2.71/2.94 (define @t573 () (@list @t537 @t532 @t530)) % 2.71/2.94 (define @t574 () (and @t564 @t563 @t541)) % 2.71/2.94 (define @t575 () (not @t539)) % 2.71/2.94 (define @t576 () (or @t575 @t574)) % 2.71/2.94 (define @t577 () (= @t571 @t576)) % 2.71/2.94 (define @t578 () (tptp.lh @t537)) % 2.71/2.94 (define @t579 () (tptp.lh @t530)) % 2.71/2.94 (define @t580 () (|tptp.'@<_succeeds'| @t579 @t578)) % 2.71/2.94 (define @t581 () (tptp.lh @t532)) % 2.71/2.94 (define @t582 () (|tptp.'@<_succeeds'| @t581 @t578)) % 2.71/2.94 (define @t583 () (and @t582 @t580)) % 2.71/2.94 (define @t584 () (not @t571)) % 2.71/2.94 (define @t585 () (or @t584 @t583)) % 2.71/2.94 (define @t586 () (@list true)) % 2.71/2.94 (define @t587 () (@list @t585)) % 2.71/2.94 (define @t588 () (@list false false)) % 2.71/2.94 (define @t589 () (@list @t536 @t535)) % 2.71/2.94 (define @t590 () (not @t574)) % 2.71/2.94 (define @t591 () (@list true false)) % 2.71/2.94 (define @t592 () (not @t552)) % 2.71/2.94 (define @t593 () (@quantifiers_skolemize @t539 0)) % 2.71/2.94 (define @t594 () (tptp.cons @t593 @t540)) % 2.71/2.94 (define @t595 () (tptp.cons @t593 @t542)) % 2.71/2.94 (define @t596 () (= @t537 @t595)) % 2.71/2.94 (define @t597 () (not @t596)) % 2.71/2.94 (define @t598 () (or @t597 (not (= @t532 @t594)) @t592)) % 2.71/2.94 (define @t599 () (not @t598)) % 2.71/2.94 (define @t600 () (not (= @t594 @t532))) % 2.71/2.94 (define @t601 () (not (= @t595 @t537))) % 2.71/2.94 (define @t602 () (or @t601 @t600 @t592)) % 2.71/2.94 (define @t603 () (not @t602)) % 2.71/2.94 (define @t604 () (@list @t598)) % 2.71/2.94 (define @t605 () (= @t535 @t542)) % 2.71/2.94 (define @t606 () (or @t597 @t605)) % 2.71/2.94 (define @t607 () (not @t556)) % 2.71/2.94 (define @t608 () (@quantifiers_skolemize @t557 2)) % 2.71/2.94 (define @t609 () (@quantifiers_skolemize @t557 1)) % 2.71/2.94 (define @t610 () (tptp.split_succeeds @t609 @t540 @t608)) % 2.71/2.94 (define @t611 () (not @t610)) % 2.71/2.94 (define @t612 () (@quantifiers_skolemize @t557 0)) % 2.71/2.94 (define @t613 () (tptp.cons @t612 @t608)) % 2.71/2.94 (define @t614 () (= @t530 @t613)) % 2.71/2.94 (define @t615 () (not @t614)) % 2.71/2.94 (define @t616 () (tptp.cons @t612 @t609)) % 2.71/2.94 (define @t617 () (or (not (= @t542 @t616)) @t615 @t611)) % 2.71/2.94 (define @t618 () (not @t617)) % 2.71/2.94 (define @t619 () (not (= @t613 @t530))) % 2.71/2.94 (define @t620 () (not (= @t616 @t542))) % 2.71/2.94 (define @t621 () (or @t620 @t619 @t611)) % 2.71/2.94 (define @t622 () (not @t621)) % 2.71/2.94 (define @t623 () (@list @t617)) % 2.71/2.94 (define @t624 () (tptp.list_succeeds @t608)) % 2.71/2.94 (define @t625 () (and (tptp.list_succeeds @t609) (tptp.list_succeeds @t540) @t624)) % 2.71/2.94 (define @t626 () (or @t611 @t625)) % 2.71/2.94 (define @t627 () (tptp.lh @t608)) % 2.71/2.94 (define @t628 () (tptp.s @t627)) % 2.71/2.94 (define @t629 () (= (tptp.lh @t613) @t628)) % 2.71/2.94 (define @t630 () (not @t624)) % 2.71/2.94 (define @t631 () (or @t630 @t629)) % 2.71/2.94 (define @t632 () (forall @t164 @t268)) % 2.71/2.94 (define @t633 () (not @t632)) % 2.71/2.94 (define @t634 () (= |tptp.'0'| @t161)) % 2.71/2.94 (define @t635 () (not @t634)) % 2.71/2.94 (define @t636 () (not @t290)) % 2.71/2.94 (define @t637 () (= @t2 @t161)) % 2.71/2.94 (define @t638 () (not @t637)) % 2.71/2.94 (define @t639 () (or @t638 @t286 @t636)) % 2.71/2.94 (define @t640 () (not (forall @t271 @t639))) % 2.71/2.94 (define @t641 () (or @t635 @t632)) % 2.71/2.94 (define @t642 () (or @t640 (not @t641))) % 2.71/2.94 (define @t643 () (= @t294 @t642)) % 2.71/2.94 (define @t644 () (and @t634 @t266)) % 2.71/2.94 (define @t645 () (forall @t164 (not @t644))) % 2.71/2.94 (define @t646 () (not @t645)) % 2.71/2.94 (define @t647 () (and @t637 @t284 @t290)) % 2.71/2.94 (define @t648 () (forall @t271 (not @t647))) % 2.71/2.94 (define @t649 () (not @t648)) % 2.71/2.94 (define @t650 () (not (= @t578 @t265))) % 2.71/2.94 (define @t651 () (forall @t164 @t650)) % 2.71/2.94 (define @t652 () (not @t651)) % 2.71/2.94 (define @t653 () (= |tptp.'0'| @t579)) % 2.71/2.94 (define @t654 () (and @t653 @t652)) % 2.71/2.94 (define @t655 () (not (= @t578 @t276))) % 2.71/2.94 (define @t656 () (not (= @t2 @t579))) % 2.71/2.94 (define @t657 () (or @t656 @t655 @t636)) % 2.71/2.94 (define @t658 () (forall @t271 @t657)) % 2.71/2.94 (define @t659 () (not @t658)) % 2.71/2.94 (define @t660 () (or @t659 @t654)) % 2.71/2.94 (define @t661 () (= @t580 @t660)) % 2.71/2.94 (define @t662 () (forall @t230 (= @t294 (or @t640 (and @t634 @t633))))) % 2.71/2.94 (define @t663 () (@list @t579 @t578)) % 2.71/2.94 (define @t664 () (and @t653 (not (forall @t164 (not (= @t265 @t578)))))) % 2.71/2.94 (define @t665 () (forall @t271 (or @t656 (not (= @t276 @t578)) @t636))) % 2.71/2.94 (define @t666 () (not @t665)) % 2.71/2.94 (define @t667 () (or @t666 @t664)) % 2.71/2.94 (define @t668 () (= @t580 @t667)) % 2.71/2.94 (define @t669 () (not @t332)) % 2.71/2.94 (define @t670 () (not @t372)) % 2.71/2.94 (define @t671 () (or @t670 @t669 @t360 @t369)) % 2.71/2.94 (define @t672 () (tptp.nat_succeeds @t578)) % 2.71/2.94 (define @t673 () (not @t672)) % 2.71/2.94 (define @t674 () (|tptp.'@=<_succeeds'| @t579 @t578)) % 2.71/2.94 (define @t675 () (not @t674)) % 2.71/2.94 (define @t676 () (or @t675 @t673 @t580 (= @t579 @t578))) % 2.71/2.94 (define @t677 () (forall @t336 @t671)) % 2.71/2.94 (define @t678 () (= @t578 @t579)) % 2.71/2.94 (define @t679 () (or @t675 @t673 @t580 @t678)) % 2.71/2.94 (define @t680 () (not @t323)) % 2.71/2.94 (define @t681 () (@list @t581 @t579)) % 2.71/2.94 (define @t682 () (tptp.list_succeeds @t530)) % 2.71/2.94 (define @t683 () (tptp.list_succeeds @t532)) % 2.71/2.94 (define @t684 () (tptp.list_succeeds @t537)) % 2.71/2.94 (define @t685 () (and @t684 @t683 @t682)) % 2.71/2.94 (define @t686 () (or @t584 @t685)) % 2.71/2.94 (define @t687 () (not @t685)) % 2.71/2.94 (define @t688 () (@list @t685)) % 2.71/2.94 (define @t689 () (tptp.nat_succeeds @t579)) % 2.71/2.94 (define @t690 () (not @t682)) % 2.71/2.94 (define @t691 () (or @t690 @t689)) % 2.71/2.94 (define @t692 () (tptp.nat_succeeds @t581)) % 2.71/2.94 (define @t693 () (not @t683)) % 2.71/2.94 (define @t694 () (or @t693 @t692)) % 2.71/2.94 (define @t695 () (|tptp.'@+'| @t581 @t579)) % 2.71/2.94 (define @t696 () (|tptp.'@=<_succeeds'| @t579 @t695)) % 2.71/2.94 (define @t697 () (not @t689)) % 2.71/2.94 (define @t698 () (not @t692)) % 2.71/2.94 (define @t699 () (or @t698 @t697 @t696)) % 2.71/2.94 (define @t700 () (= @t578 @t695)) % 2.71/2.94 (define @t701 () (or @t584 @t700)) % 2.71/2.94 (define @t702 () (tptp.lh @t540)) % 2.71/2.94 (define @t703 () (|tptp.'@+'| @t579 @t702)) % 2.71/2.94 (define @t704 () (|tptp.'@=<_succeeds'| @t579 @t703)) % 2.71/2.94 (define @t705 () (or @t697 @t704)) % 2.71/2.94 (define @t706 () (tptp.lh @t542)) % 2.71/2.94 (define @t707 () (= @t706 @t703)) % 2.71/2.94 (define @t708 () (or @t592 @t707)) % 2.71/2.94 (define @t709 () (not @t374)) % 2.71/2.94 (define @t710 () (or @t670 @t709 @t369)) % 2.71/2.94 (define @t711 () (tptp.lh @t535)) % 2.71/2.94 (define @t712 () (|tptp.'@=<_succeeds'| @t578 @t711)) % 2.71/2.94 (define @t713 () (not @t712)) % 2.71/2.94 (define @t714 () (|tptp.'@=<_succeeds'| @t711 @t578)) % 2.71/2.94 (define @t715 () (not @t714)) % 2.71/2.94 (define @t716 () (or @t715 @t713 (= @t711 @t578))) % 2.71/2.94 (define @t717 () (forall @t336 @t710)) % 2.71/2.94 (define @t718 () (@list @t711 @t578)) % 2.71/2.94 (define @t719 () (= @t578 @t711)) % 2.71/2.94 (define @t720 () (or @t715 @t713 @t719)) % 2.71/2.94 (define @t721 () (@list @t711)) % 2.71/2.94 (define @t722 () (tptp.list_succeeds @t535)) % 2.71/2.94 (define @t723 () (not @t684)) % 2.71/2.94 (define @t724 () (or @t723 @t722)) % 2.71/2.94 (define @t725 () (not @t722)) % 2.71/2.94 (define @t726 () (or @t725 @t714)) % 2.71/2.94 (define @t727 () (tptp.nat_succeeds @t711)) % 2.71/2.94 (define @t728 () (or @t715 @t727)) % 2.71/2.94 (define @t729 () (|tptp.'@<_succeeds'| @t711 @t711)) % 2.71/2.94 (define @t730 () (not @t729)) % 2.71/2.94 (define @t731 () (not @t727)) % 2.71/2.94 (define @t732 () (or @t731 @t730)) % 2.71/2.94 (define @t733 () (tptp.s @t711)) % 2.71/2.94 (define @t734 () (|tptp.'@<_succeeds'| @t711 @t733)) % 2.71/2.94 (define @t735 () (or @t731 @t734)) % 2.71/2.94 (define @t736 () (= @t578 @t733)) % 2.71/2.94 (define @t737 () (or @t725 @t736)) % 2.71/2.94 (define @t738 () (not @t719)) % 2.71/2.94 (define @t739 () (not @t734)) % 2.71/2.94 (define @t740 () (not @t736)) % 2.71/2.94 (define @t741 () (and @t734 @t736 @t719 @t730)) % 2.71/2.94 (define @t742 () (not @t704)) % 2.71/2.94 (define @t743 () (not @t707)) % 2.71/2.94 (define @t744 () (not @t605)) % 2.71/2.94 (define @t745 () (not @t678)) % 2.71/2.94 (define @t746 () (= true false)) % 2.71/2.94 (define @t747 () (and @t713 @t678 @t605 @t707 @t704)) % 2.71/2.94 (define @t748 () (@list true false false false)) % 2.71/2.94 (define @t749 () (or @t723 @t672)) % 2.71/2.94 (define @t750 () (@quantifiers_skolemize @t665 0)) % 2.71/2.94 (define @t751 () (tptp.s @t750)) % 2.71/2.94 (define @t752 () (|tptp.'@+'| @t581 @t751)) % 2.71/2.94 (define @t753 () (|tptp.'@<_succeeds'| @t581 @t752)) % 2.71/2.94 (define @t754 () (or @t698 @t753)) % 2.71/2.94 (define @t755 () (|tptp.'@<_succeeds'| @t578 @t578)) % 2.71/2.94 (define @t756 () (not @t755)) % 2.71/2.94 (define @t757 () (or @t673 @t756)) % 2.71/2.94 (define @t758 () (|tptp.'@=<_succeeds'| @t581 @t695)) % 2.71/2.94 (define @t759 () (or @t698 @t758)) % 2.71/2.94 (define @t760 () (|tptp.'@=<_succeeds'| @t581 @t578)) % 2.71/2.94 (define @t761 () (= @t581 @t578)) % 2.71/2.94 (define @t762 () (not @t760)) % 2.71/2.94 (define @t763 () (or @t762 @t673 @t582 @t761)) % 2.71/2.94 (define @t764 () (not @t753)) % 2.71/2.94 (define @t765 () (= @t579 @t751)) % 2.71/2.94 (define @t766 () (not @t765)) % 2.71/2.94 (define @t767 () (not @t700)) % 2.71/2.94 (define @t768 () (not @t761)) % 2.71/2.94 (define @t769 () (and @t756 @t761 @t700 @t765 @t753)) % 2.71/2.94 (define @t770 () (@quantifiers_skolemize @t665 1)) % 2.71/2.94 (define @t771 () (not (|tptp.'@<_succeeds'| @t750 @t770))) % 2.71/2.94 (define @t772 () (tptp.s @t770)) % 2.71/2.94 (define @t773 () (or @t766 (not (= @t578 @t772)) @t771)) % 2.71/2.94 (define @t774 () (not @t773)) % 2.71/2.94 (define @t775 () (not (= @t772 @t578))) % 2.71/2.94 (define @t776 () (not (= @t751 @t579))) % 2.71/2.94 (define @t777 () (or @t776 @t775 @t771)) % 2.71/2.94 (define @t778 () (not @t777)) % 2.71/2.94 (define @t779 () (= |tptp.'0'| @t628)) % 2.71/2.94 (define @t780 () (not @t629)) % 2.71/2.94 (define @t781 () (not @t653)) % 2.71/2.94 (define @t782 () (= |tptp.'0'| @t446)) % 2.71/2.94 (define @t783 () (not @t782)) % 2.71/2.94 (define @t784 () (not @t779)) % 2.71/2.94 (define @t785 () (= @t446 @t628)) % 2.71/2.94 (define @t786 () (and @t784 @t785 @t782)) % 2.71/2.94 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 2.71/2.94 (assume @p2 (not (= |tptp.'0'| tptp.nil))) % 2.71/2.94 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 2.71/2.94 (assume @p4 (forall @t10 (=> (= (tptp.s @t8) @t9) (= @t8 @t7)))) % 2.71/2.94 (assume @p5 (forall (@list @t11) (not (= tptp.nil (tptp.s @t11))))) % 2.71/2.94 (assume @p6 (forall (@list @t15 @t13 @t12) (not (= (tptp.s @t15) @t14)))) % 2.71/2.94 (assume @p7 (forall (@list @t17 @t16) (not (= tptp.nil @t18)))) % 2.71/2.94 (assume @p8 @t26) % 2.71/2.94 (assume @p9 (forall (@list @t28 @t30 @t27 @t29) (=> (= (tptp.cons @t28 @t30) (tptp.cons @t27 @t29)) (= @t28 @t27)))) % 2.71/2.94 (assume @p10 (tptp.gr |tptp.'0'|)) % 2.71/2.94 (assume @p11 (forall (@list @t31) (= (tptp.gr @t31) (tptp.gr (tptp.s @t31))))) % 2.71/2.94 (assume @p12 (tptp.gr tptp.nil)) % 2.71/2.94 (assume @p13 (forall (@list @t33 @t32) (= (and (tptp.gr @t33) (tptp.gr @t32)) (tptp.gr (tptp.cons @t33 @t32))))) % 2.71/2.94 (assume @p14 (forall @t37 (not (and @t36 @t35)))) % 2.71/2.94 (assume @p15 (forall @t37 (=> (tptp.int_ordered_terminates @t34) (or @t36 @t35)))) % 2.71/2.94 (assume @p16 (forall @t41 (not (and @t40 @t39)))) % 2.71/2.94 (assume @p17 (forall @t41 (=> (tptp.int_list_terminates @t38) (or @t40 @t39)))) % 2.71/2.94 (assume @p18 (forall @t47 (not (and @t46 @t45)))) % 2.71/2.94 (assume @p19 (forall @t47 (=> (tptp.merge_terminates @t44 @t43 @t42) (or @t46 @t45)))) % 2.71/2.94 (assume @p20 (forall @t53 (not (and @t52 @t51)))) % 2.71/2.94 (assume @p21 (forall @t53 (=> (tptp.split_terminates @t50 @t49 @t48) (or @t52 @t51)))) % 2.71/2.94 (assume @p22 (forall @t58 (not (and @t57 @t56)))) % 2.71/2.94 (assume @p23 (forall @t58 (=> (tptp.mergesort_terminates @t55 @t54) (or @t57 @t56)))) % 2.71/2.94 (assume @p24 (forall @t64 (not (and @t63 @t62)))) % 2.71/2.94 (assume @p25 (forall @t64 (=> (tptp.member2_terminates @t61 @t60 @t59) (or @t63 @t62)))) % 2.71/2.94 (assume @p26 (forall @t70 (not (and @t69 @t68)))) % 2.71/2.94 (assume @p27 (forall @t70 (=> (tptp.occ_terminates @t67 @t66 @t65) (or @t69 @t68)))) % 2.71/2.94 (assume @p28 (forall @t75 (not (and @t74 @t73)))) % 2.71/2.94 (assume @p29 (forall @t75 (=> (tptp.not_same_occ_terminates @t72 @t71) (or @t74 @t73)))) % 2.71/2.94 (assume @p30 (forall @t80 (not (and @t79 @t78)))) % 2.71/2.94 (assume @p31 (forall @t80 (=> (tptp.same_occ_terminates @t77 @t76) (or @t79 @t78)))) % 2.71/2.94 (assume @p32 (forall @t85 (not (and @t84 @t83)))) % 2.71/2.94 (assume @p33 (forall @t85 (=> (tptp.permutation_terminates @t82 @t81) (or @t84 @t83)))) % 2.71/2.94 (assume @p34 (forall @t91 (not (and @t90 @t89)))) % 2.71/2.94 (assume @p35 (forall @t91 (=> (tptp.delete_terminates @t88 @t87 @t86) (or @t90 @t89)))) % 2.71/2.94 (assume @p36 (forall @t96 (not (and @t95 @t94)))) % 2.71/2.94 (assume @p37 (forall @t96 (=> (tptp.length_terminates @t93 @t92) (or @t95 @t94)))) % 2.71/2.94 (assume @p38 (forall @t102 (not (and @t101 @t100)))) % 2.71/2.94 (assume @p39 (forall @t102 (=> (tptp.append_terminates @t99 @t98 @t97) (or @t101 @t100)))) % 2.71/2.94 (assume @p40 (forall @t107 (not (and @t106 @t105)))) % 2.71/2.94 (assume @p41 (forall @t107 (=> (tptp.member_terminates @t104 @t103) (or @t106 @t105)))) % 2.71/2.94 (assume @p42 (forall @t111 (not (and @t110 @t109)))) % 2.71/2.94 (assume @p43 (forall @t111 (=> (tptp.list_terminates @t108) (or @t110 @t109)))) % 2.71/2.94 (assume @p44 (forall @t115 (not (and @t114 @t113)))) % 2.71/2.94 (assume @p45 (forall @t115 (=> (tptp.nat_list_terminates @t112) (or @t114 @t113)))) % 2.71/2.94 (assume @p46 (forall @t121 (not (and @t120 @t119)))) % 2.71/2.94 (assume @p47 (forall @t121 (=> (tptp.times_terminates @t118 @t117 @t116) (or @t120 @t119)))) % 2.71/2.94 (assume @p48 (forall @t127 (not (and @t126 @t125)))) % 2.71/2.94 (assume @p49 (forall @t127 (=> (tptp.plus_terminates @t124 @t123 @t122) (or @t126 @t125)))) % 2.71/2.94 (assume @p50 (forall @t132 (not (and @t131 @t130)))) % 2.71/2.94 (assume @p51 (forall @t132 (=> (|tptp.'@=<_terminates'| @t129 @t128) (or @t131 @t130)))) % 2.71/2.94 (assume @p52 (forall @t137 (not (and @t136 @t135)))) % 2.71/2.94 (assume @p53 (forall @t137 (=> (|tptp.'@<_terminates'| @t134 @t133) (or @t136 @t135)))) % 2.71/2.94 (assume @p54 (forall @t141 (not (and @t140 @t139)))) % 2.71/2.94 (assume @p55 (forall @t141 (=> (tptp.nat_terminates @t138) (or @t140 @t139)))) % 2.71/2.94 (assume @p56 (forall @t146 (not (and @t145 @t144)))) % 2.71/2.94 (assume @p57 (forall @t146 (=> (|tptp.'=<_terminates'| @t143 @t142) (or @t145 @t144)))) % 2.71/2.94 (assume @p58 (forall @t150 (not (and @t149 @t148)))) % 2.71/2.94 (assume @p59 (forall @t150 (=> (tptp.integer_terminates @t147) (or @t149 @t148)))) % 2.71/2.94 (assume @p60 (forall @t155 (not (and @t154 @t153)))) % 2.71/2.94 (assume @p61 (forall @t155 (=> (|tptp.'=<_terminates'| @t152 @t151) (or @t154 @t153)))) % 2.71/2.94 (assume @p62 (forall @t160 (not (and @t159 @t158)))) % 2.71/2.94 (assume @p63 (forall @t160 (=> (|tptp.'=<_terminates'| @t157 @t156) (or @t159 @t158)))) % 2.71/2.94 (assume @p64 (forall @t169 (= (tptp.int_ordered_succeeds @t161) (or (exists @t168 (and @t167 (|tptp.'=<_succeeds'| @t166 @t1) (tptp.int_ordered_succeeds @t165))) (exists @t164 @t163) @t162)))) % 2.71/2.94 (assume @p65 (forall @t169 (= (tptp.int_ordered_fails @t161) (and (forall @t168 (or @t172 @t171 (tptp.int_ordered_fails @t165))) (forall @t164 (not @t163)) @t170)))) % 2.71/2.94 (assume @p66 (forall @t169 (= (tptp.int_ordered_terminates @t161) (and (forall @t168 (and true (or @t172 (and (|tptp.'=<_terminates'| @t166 @t1) (or @t171 (tptp.int_ordered_terminates @t165)))))) @t173 true)))) % 2.71/2.94 (assume @p67 (forall @t169 (= (tptp.int_list_succeeds @t161) (or (exists @t175 (and @t174 (tptp.integer_succeeds @t166) (tptp.int_list_succeeds @t1))) @t162)))) % 2.71/2.94 (assume @p68 (forall @t169 (= (tptp.int_list_fails @t161) (and (forall @t175 (or @t177 @t176 (tptp.int_list_fails @t1))) @t170)))) % 2.71/2.94 (assume @p69 (forall @t169 (= (tptp.int_list_terminates @t161) (and (forall @t175 (and true (or @t177 (and (tptp.integer_terminates @t166) (or @t176 (tptp.int_list_terminates @t1)))))) true)))) % 2.71/2.94 (assume @p70 (forall @t192 (= (tptp.merge_succeeds @t161 @t166 @t1) (or (exists @t191 (and @t190 @t189 @t188 (|tptp.'=<_fails'| @t4 @t8) @t187 (tptp.merge_succeeds @t5 @t7 @t15))) (exists @t186 (and @t185 @t184 @t183 (|tptp.'=<_succeeds'| @t13 @t17) @t182 (tptp.merge_succeeds @t12 @t18 @t20))) (and @t181 @t180) @t179)))) % 2.71/2.94 (assume @p71 (forall @t192 (= (tptp.merge_fails @t161 @t166 @t1) (and (forall @t191 (or @t205 @t204 @t203 @t202 @t201 (tptp.merge_fails @t5 @t7 @t15))) (forall @t186 (or @t200 @t199 @t198 @t197 @t196 (tptp.merge_fails @t12 @t18 @t20))) (or @t195 (not @t180)) @t194)))) % 2.71/2.94 (assume @p72 (forall @t192 (= (tptp.merge_terminates @t161 @t166 @t1) (and (forall @t191 (and true (or @t205 (and true (or @t204 (and true (or @t203 (and (|tptp.'=<_terminates'| @t4 @t8) @t208 (tptp.gr @t8) (or @t202 (and true (or @t201 (tptp.merge_terminates @t5 @t7 @t15)))))))))))) (forall @t186 (and true (or @t200 (and true (or @t199 (and true (or @t198 (and (|tptp.'=<_terminates'| @t13 @t17) (or @t197 (and true (or @t196 (tptp.merge_terminates @t12 @t18 @t20)))))))))))) true @t207 true @t206)))) % 2.71/2.94 (assume @p73 @t220) % 2.71/2.94 (assume @p74 (forall @t192 (= (tptp.split_fails @t161 @t166 @t1) (and (forall @t215 (or @t205 @t221 (tptp.split_fails @t3 @t1 @t8))) (or @t170 @t195 (not @t209)))))) % 2.71/2.94 (assume @p75 (forall @t192 (= (tptp.split_terminates @t161 @t166 @t1) (and (forall @t215 (and true (or @t205 (and true (or @t221 (tptp.split_terminates @t3 @t1 @t8)))))) true (or @t170 (and true @t207)))))) % 2.71/2.94 (assume @p76 (forall @t230 (= (tptp.mergesort_succeeds @t161 @t166) (or (exists @t229 (and @t228 (tptp.split_succeeds @t227 @t8 @t7) (tptp.mergesort_succeeds @t8 @t11) (tptp.mergesort_succeeds @t7 @t15) (tptp.merge_succeeds @t11 @t15 @t166))) (exists @t226 (and @t225 @t224)) @t222)))) % 2.71/2.94 (assume @p77 (forall @t230 (= (tptp.mergesort_fails @t161 @t166) (and (forall @t229 (or @t236 @t235 @t234 @t233 (tptp.merge_fails @t11 @t15 @t166))) (forall @t226 (or @t232 (not @t224))) @t231)))) % 2.71/2.94 (assume @p78 (forall @t230 (= (tptp.mergesort_terminates @t161 @t166) (and (forall @t229 (and true (or @t236 (and (tptp.split_terminates @t227 @t8 @t7) (or @t235 (and (tptp.mergesort_terminates @t8 @t11) (or @t234 (and (tptp.mergesort_terminates @t7 @t15) (or @t233 (tptp.merge_terminates @t11 @t15 @t166)))))))))) (forall @t226 (and true (or @t232 true))) true @t206)))) % 2.71/2.94 (assume @p79 (forall @t192 (= (tptp.member2_succeeds @t161 @t166 @t1) (or (tptp.member_succeeds @t161 @t1) @t237)))) % 2.71/2.94 (assume @p80 (forall @t192 (= (tptp.member2_fails @t161 @t166 @t1) (and (tptp.member_fails @t161 @t1) @t238)))) % 2.71/2.94 (assume @p81 (forall @t192 (= (tptp.member2_terminates @t161 @t166 @t1) (and (tptp.member_terminates @t161 @t1) @t239)))) % 2.71/2.94 (assume @p82 (forall @t192 (= (tptp.occ_succeeds @t161 @t166 @t1) (or (exists @t6 (and @t244 (not @t243) (tptp.occ_succeeds @t161 @t3 @t1))) (exists @t10 (and @t242 @t241 (tptp.occ_succeeds @t161 @t8 @t7))) (and @t181 @t240))))) % 2.71/2.94 (assume @p83 (forall @t192 (= (tptp.occ_fails @t161 @t166 @t1) (and (forall @t6 (or @t248 @t243 (tptp.occ_fails @t161 @t3 @t1))) (forall @t10 (or @t247 @t246 (tptp.occ_fails @t161 @t8 @t7))) (or @t195 @t245))))) % 2.71/2.94 (assume @p84 (forall @t192 (= (tptp.occ_terminates @t161 @t166 @t1) (and (forall @t6 (and true (or @t248 (and true @t249 @t208 (or @t243 (tptp.occ_terminates @t161 @t3 @t1)))))) (forall @t10 (and true (or @t247 (and true (or @t246 (tptp.occ_terminates @t161 @t8 @t7)))))) true @t207)))) % 2.71/2.94 (assume @p85 (forall @t230 (= @t252 (exists @t251 (and (tptp.member2_succeeds @t1 @t161 @t166) (tptp.occ_succeeds @t1 @t161 @t4) (tptp.occ_succeeds @t1 @t166 @t3) (not @t250)))))) % 2.71/2.94 (assume @p86 (forall @t230 (= @t256 (forall @t251 (or @t255 @t254 @t253 @t250))))) % 2.71/2.94 (assume @p87 (forall @t230 (= @t257 (forall @t251 (and (tptp.member2_terminates @t1 @t161 @t166) (or @t255 (and (tptp.occ_terminates @t1 @t161 @t4) (or @t254 (and (tptp.occ_terminates @t1 @t166 @t3) (or @t253 (and true @t208 (tptp.gr @t3)))))))))))) % 2.71/2.94 (assume @p88 (forall @t230 (= (tptp.same_occ_succeeds @t161 @t166) @t256))) % 2.71/2.94 (assume @p89 (forall @t230 (= (tptp.same_occ_fails @t161 @t166) @t252))) % 2.71/2.94 (assume @p90 (forall @t230 (= (tptp.same_occ_terminates @t161 @t166) (and @t257 @t249 (tptp.gr @t166))))) % 2.71/2.94 (assume @p91 (forall @t230 (= (tptp.permutation_succeeds @t161 @t166) (or (exists @t251 (and @t258 (tptp.delete_succeeds @t1 @t161 @t3) (tptp.permutation_succeeds @t3 @t4))) @t222)))) % 2.71/2.94 (assume @p92 (forall @t230 (= (tptp.permutation_fails @t161 @t166) (and (forall @t251 (or @t260 @t259 (tptp.permutation_fails @t3 @t4))) @t231)))) % 2.71/2.94 (assume @p93 (forall @t230 (= (tptp.permutation_terminates @t161 @t166) (and (forall @t251 (and true (or @t260 (and (tptp.delete_terminates @t1 @t161 @t3) (or @t259 (tptp.permutation_terminates @t3 @t4)))))) true @t206)))) % 2.71/2.94 (assume @p94 (forall @t192 (= (tptp.delete_succeeds @t161 @t166 @t1) (or (exists @t215 (and @t244 @t262 (tptp.delete_succeeds @t161 @t3 @t8))) @t261)))) % 2.71/2.94 (assume @p95 (forall @t192 (= (tptp.delete_fails @t161 @t166 @t1) (and (forall @t215 (or @t248 @t263 (tptp.delete_fails @t161 @t3 @t8))) (not @t261))))) % 2.71/2.94 (assume @p96 (forall @t192 (= (tptp.delete_terminates @t161 @t166 @t1) (and (forall @t215 (and true (or @t248 (and true (or @t263 (tptp.delete_terminates @t161 @t3 @t8)))))) true)))) % 2.71/2.94 (assume @p97 (forall @t230 (= (tptp.length_succeeds @t161 @t166) (or (exists @t251 (and @t267 @t266 (tptp.length_succeeds @t4 @t3))) (and @t162 @t264))))) % 2.71/2.94 (assume @p98 (forall @t230 (= (tptp.length_fails @t161 @t166) (and (forall @t251 (or @t269 @t268 (tptp.length_fails @t4 @t3))) (or @t170 (not @t264)))))) % 2.71/2.94 (assume @p99 (forall @t230 (= (tptp.length_terminates @t161 @t166) (and (forall @t251 (and true (or @t269 (and true (or @t268 (tptp.length_terminates @t4 @t3)))))) true @t206)))) % 2.71/2.94 (assume @p100 (forall @t192 (= (tptp.append_succeeds @t161 @t166 @t1) (or (exists @t215 (and @t190 @t262 (tptp.append_succeeds @t3 @t166 @t8))) @t179)))) % 2.71/2.94 (assume @p101 (forall @t192 (= (tptp.append_fails @t161 @t166 @t1) (and (forall @t215 (or @t205 @t263 (tptp.append_fails @t3 @t166 @t8))) @t194)))) % 2.71/2.94 (assume @p102 (forall @t192 (= (tptp.append_terminates @t161 @t166 @t1) (and (forall @t215 (and true (or @t205 (and true (or @t263 (tptp.append_terminates @t3 @t166 @t8)))))) true @t206)))) % 2.71/2.94 (assume @p103 (forall @t230 (= @t237 (or (exists @t271 (and @t258 (tptp.member_succeeds @t161 @t4))) (exists @t164 @t270))))) % 2.71/2.94 (assume @p104 (forall @t230 (= @t238 (and (forall @t271 (or @t260 (tptp.member_fails @t161 @t4))) (forall @t164 (not @t270)))))) % 2.71/2.94 (assume @p105 (forall @t230 (= @t239 (and (forall @t271 (and true (or @t260 (tptp.member_terminates @t161 @t4)))) @t173)))) % 2.71/2.94 (assume @p106 (forall @t169 (= (tptp.list_succeeds @t161) (or (exists @t175 (and @t174 (tptp.list_succeeds @t1))) @t162)))) % 2.71/2.94 (assume @p107 (forall @t169 (= (tptp.list_fails @t161) (and (forall @t175 (or @t177 (tptp.list_fails @t1))) @t170)))) % 2.71/2.94 (assume @p108 (forall @t169 (= (tptp.list_terminates @t161) (and (forall @t175 (and true (or @t177 (tptp.list_terminates @t1)))) true)))) % 2.71/2.94 (assume @p109 (forall @t169 (= (tptp.nat_list_succeeds @t161) (or (exists @t175 (and @t174 @t272 (tptp.nat_list_succeeds @t1))) @t162)))) % 2.71/2.94 (assume @p110 (forall @t169 (= (tptp.nat_list_fails @t161) (and (forall @t175 (or @t177 @t273 (tptp.nat_list_fails @t1))) @t170)))) % 2.71/2.94 (assume @p111 (forall @t169 (= (tptp.nat_list_terminates @t161) (and (forall @t175 (and true (or @t177 (and @t274 (or @t273 (tptp.nat_list_terminates @t1)))))) true)))) % 2.71/2.94 (assume @p112 (forall @t192 (= (tptp.times_succeeds @t161 @t166 @t1) (or (exists @t6 (and @t277 (tptp.times_succeeds @t4 @t166 @t3) (tptp.plus_succeeds @t166 @t3 @t1))) (and @t275 @t240))))) % 2.71/2.94 (assume @p113 (forall @t192 (= (tptp.times_fails @t161 @t166 @t1) (and (forall @t6 (or @t280 @t279 (tptp.plus_fails @t166 @t3 @t1))) (or @t278 @t245))))) % 2.71/2.94 (assume @p114 (forall @t192 (= (tptp.times_terminates @t161 @t166 @t1) (and (forall @t6 (and true (or @t280 (and (tptp.times_terminates @t4 @t166 @t3) (or @t279 (tptp.plus_terminates @t166 @t3 @t1)))))) true @t281)))) % 2.71/2.94 (assume @p115 (forall @t192 (= (tptp.plus_succeeds @t161 @t166 @t1) (or (exists @t6 (and @t277 @t282 (tptp.plus_succeeds @t4 @t166 @t3))) (and @t275 @t178))))) % 2.71/2.94 (assume @p116 (forall @t192 (= (tptp.plus_fails @t161 @t166 @t1) (and (forall @t6 (or @t280 @t283 (tptp.plus_fails @t4 @t166 @t3))) (or @t278 @t193))))) % 2.71/2.94 (assume @p117 (forall @t192 (= (tptp.plus_terminates @t161 @t166 @t1) (and (forall @t6 (and true (or @t280 (and true (or @t283 (tptp.plus_terminates @t4 @t166 @t3)))))) true @t281)))) % 2.71/2.94 (assume @p118 (forall @t230 (= (|tptp.'@=<_succeeds'| @t161 @t166) (or (exists @t271 (and @t285 @t284 (|tptp.'@=<_succeeds'| @t1 @t4))) @t275)))) % 2.71/2.94 (assume @p119 (forall @t230 (= (|tptp.'@=<_fails'| @t161 @t166) (and (forall @t271 (or @t287 @t286 (|tptp.'@=<_fails'| @t1 @t4))) @t278)))) % 2.71/2.94 (assume @p120 (forall @t230 (= (|tptp.'@=<_terminates'| @t161 @t166) (and (forall @t271 (and true (or @t287 (and true (or @t286 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 2.71/2.94 (assume @p121 @t296) % 2.71/2.94 (assume @p122 (forall @t230 (= (|tptp.'@<_fails'| @t161 @t166) (and (forall @t271 (or @t287 @t286 (|tptp.'@<_fails'| @t1 @t4))) (forall @t164 (or @t278 @t268)))))) % 2.71/2.94 (assume @p123 (forall @t230 (= (|tptp.'@<_terminates'| @t161 @t166) (and (forall @t271 (and true (or @t287 (and true (or @t286 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t164 (and true @t281)))))) % 2.71/2.94 (assume @p124 (forall @t169 (= @t299 (or (exists @t298 (and @t297 @t272)) @t275)))) % 2.71/2.94 (assume @p125 (forall @t169 (= (tptp.nat_fails @t161) (and (forall @t298 (or @t300 @t273)) @t278)))) % 2.71/2.94 (assume @p126 (forall @t169 (= (tptp.nat_terminates @t161) (and (forall @t298 (and true (or @t300 @t274))) true)))) % 2.71/2.94 (assume @p127 (forall (@list @t302 @t301) (not (|tptp.'=<_succeeds'| @t302 @t301)))) % 2.71/2.94 (assume @p128 (forall (@list @t304 @t303) (|tptp.'=<_fails'| @t304 @t303))) % 2.71/2.94 (assume @p129 (forall (@list @t306 @t305) (|tptp.'=<_terminates'| @t306 @t305))) % 2.71/2.94 (assume @p130 (forall (@list @t307) (not (tptp.integer_succeeds @t307)))) % 2.71/2.94 (assume @p131 (forall (@list @t308) (tptp.integer_fails @t308))) % 2.71/2.94 (assume @p132 (forall (@list @t309) (tptp.integer_terminates @t309))) % 2.71/2.94 (assume @p133 (forall (@list @t311 @t310) (not (|tptp.'=<_succeeds'| @t311 @t310)))) % 2.71/2.94 (assume @p134 (forall (@list @t313 @t312) (|tptp.'=<_fails'| @t313 @t312))) % 2.71/2.94 (assume @p135 (forall (@list @t315 @t314) (|tptp.'=<_terminates'| @t315 @t314))) % 2.71/2.94 (assume @p136 (forall (@list @t317 @t316) (not (|tptp.'=<_succeeds'| @t317 @t316)))) % 2.71/2.94 (assume @p137 (forall (@list @t319 @t318) (|tptp.'=<_fails'| @t319 @t318))) % 2.71/2.94 (assume @p138 (forall (@list @t321 @t320) (|tptp.'=<_terminates'| @t321 @t320))) % 2.71/2.94 (assume @p139 (forall @t324 (=> @t323 (tptp.nat_terminates @t322)))) % 2.71/2.94 (assume @p140 (forall @t324 (=> @t323 @t325))) % 2.71/2.94 (assume @p141 (forall @t329 (=> @t323 @t328))) % 2.71/2.94 (assume @p142 (forall @t329 (=> @t330 @t328))) % 2.71/2.94 (assume @p143 (forall @t329 (=> @t331 @t323))) % 2.71/2.94 (assume @p144 (forall @t329 (=> (and @t331 @t332) @t330))) % 2.71/2.94 (assume @p145 (forall @t329 (=> (and @t331 @t330) @t332))) % 2.71/2.94 (assume @p146 (forall @t329 (=> @t331 @t328))) % 2.71/2.94 (assume @p147 (forall @t329 (=> @t331 @t325))) % 2.71/2.94 (assume @p148 (forall @t329 (=> (and @t331 @t334) @t333))) % 2.71/2.94 (assume @p149 (forall @t329 (=> (and @t331 @t333) @t334))) % 2.71/2.94 (assume @p150 (forall @t336 (=> @t323 (exists @t335 @t331)))) % 2.71/2.94 (assume @p151 (forall @t340 (=> (and (tptp.plus_succeeds @t322 @t327 @t338) (tptp.plus_succeeds @t322 @t327 @t337)) @t339))) % 2.71/2.94 (assume @p152 (forall @t341 (= (|tptp.'@+'| |tptp.'0'| @t327) @t327))) % 2.71/2.94 (assume @p153 (forall @t336 (=> @t323 (= @t344 (tptp.s @t342))))) % 2.71/2.94 (assume @p154 (forall @t336 (=> @t345 (tptp.nat_succeeds @t342)))) % 2.71/2.94 (assume @p155 (forall @t329 (=> @t347 (= (|tptp.'@+'| @t342 @t326) (|tptp.'@+'| @t322 @t346))))) % 2.71/2.94 (assume @p156 (forall @t324 (=> @t323 (= (|tptp.'@+'| @t322 |tptp.'0'|) @t322)))) % 2.71/2.94 (assume @p157 (forall @t336 (=> @t345 (= @t349 @t344)))) % 2.71/2.94 (assume @p158 (forall @t336 (=> @t345 (= @t342 @t350)))) % 2.71/2.94 (assume @p159 (forall @t329 (=> (and @t323 (= @t342 @t351)) (= @t327 @t326)))) % 2.71/2.94 (assume @p160 (forall @t329 (=> @t352 @t323))) % 2.71/2.94 (assume @p161 (forall @t329 (=> (and @t352 @t332) @t330))) % 2.71/2.94 (assume @p162 (forall @t329 (=> @t352 @t325))) % 2.71/2.94 (assume @p163 (forall @t329 (=> (and @t352 @t334) @t333))) % 2.71/2.94 (assume @p164 (forall @t329 (=> @t345 (tptp.times_terminates @t322 @t327 @t326)))) % 2.71/2.94 (assume @p165 (forall @t336 (=> @t345 (exists @t335 @t352)))) % 2.71/2.94 (assume @p166 (forall @t340 (=> (and (tptp.times_succeeds @t322 @t327 @t338) (tptp.times_succeeds @t322 @t327 @t337)) @t339))) % 2.71/2.94 (assume @p167 (forall @t341 (=> @t332 (= (|tptp.'@*'| |tptp.'0'| @t327) |tptp.'0'|)))) % 2.71/2.94 (assume @p168 (forall @t336 (=> @t345 (= @t354 (|tptp.'@+'| @t327 @t353))))) % 2.71/2.94 (assume @p169 (forall @t336 (=> @t345 (tptp.nat_succeeds @t353)))) % 2.71/2.94 (assume @p170 (forall @t329 (=> @t347 (= (|tptp.'@*'| @t342 @t326) (|tptp.'@+'| @t356 @t355))))) % 2.71/2.94 (assume @p171 (forall @t329 (=> @t347 (= (|tptp.'@*'| @t353 @t326) (|tptp.'@*'| @t322 @t355))))) % 2.71/2.94 (assume @p172 (forall @t324 (=> @t323 (= (|tptp.'@*'| @t322 |tptp.'0'|) |tptp.'0'|)))) % 2.71/2.94 (assume @p173 (forall (@list @t327 @t322) (=> (and @t332 @t323) (= (|tptp.'@+'| @t357 @t327) (|tptp.'@*'| @t327 @t343))))) % 2.71/2.94 (assume @p174 (forall @t336 (=> @t345 (= @t353 @t357)))) % 2.71/2.94 (assume @p175 (forall @t324 (=> @t323 (= (|tptp.'@*'| @t358 @t322) @t322)))) % 2.71/2.94 (assume @p176 (forall @t324 (=> @t323 (= (|tptp.'@*'| @t322 @t358) @t322)))) % 2.71/2.94 (assume @p177 (forall @t329 (=> @t347 (= (|tptp.'@*'| @t326 @t342) (|tptp.'@+'| (|tptp.'@*'| @t326 @t322) (|tptp.'@*'| @t326 @t327)))))) % 2.71/2.94 (assume @p178 (forall @t336 (=> @t323 @t359))) % 2.71/2.94 (assume @p179 (forall @t336 (=> @t332 @t359))) % 2.71/2.94 (assume @p180 (forall @t336 (=> @t360 @t323))) % 2.71/2.94 (assume @p181 (forall @t336 (=> @t360 (exists @t335 (= @t327 @t361))))) % 2.71/2.94 (assume @p182 (forall @t329 (=> (and @t360 (|tptp.'@<_succeeds'| @t327 @t361)) @t362))) % 2.71/2.94 (assume @p183 (forall @t336 (=> @t360 @t363))) % 2.71/2.94 (assume @p184 (forall @t329 (=> (and @t360 @t364) @t362))) % 2.71/2.94 (assume @p185 (forall @t324 (=> @t323 (|tptp.'@<_fails'| @t322 @t322)))) % 2.71/2.94 (assume @p186 @t366) % 2.71/2.94 (assume @p187 @t368) % 2.71/2.94 (assume @p188 (forall @t336 (=> (and @t332 @t363) @t370))) % 2.71/2.94 (assume @p189 (forall @t336 (=> @t345 (or @t360 @t369 (|tptp.'@<_succeeds'| @t327 @t322))))) % 2.71/2.94 (assume @p190 (forall @t324 (=> (and @t323 @t371) (|tptp.'@<_succeeds'| |tptp.'0'| @t322)))) % 2.71/2.94 (assume @p191 (forall @t336 (=> @t323 (|tptp.'@=<_terminates'| @t322 @t327)))) % 2.71/2.94 (assume @p192 @t373) % 2.71/2.94 (assume @p193 (forall @t336 (=> @t372 (exists @t335 (tptp.plus_succeeds @t322 @t326 @t327))))) % 2.71/2.94 (assume @p194 (forall @t336 (=> @t372 (exists @t335 (= @t351 @t327))))) % 2.71/2.94 (assume @p195 (forall @t336 (=> @t360 (exists @t335 (tptp.plus_succeeds @t322 @t361 @t327))))) % 2.71/2.94 (assume @p196 (forall @t336 (=> @t360 (exists @t335 (= (|tptp.'@+'| @t322 @t361) @t327))))) % 2.71/2.94 (assume @p197 (forall @t336 (=> @t360 @t372))) % 2.71/2.94 (assume @p198 (forall @t324 (=> @t323 (|tptp.'@=<_succeeds'| @t322 @t322)))) % 2.71/2.94 (assume @p199 (forall @t336 (=> @t345 (or @t372 @t374)))) % 2.71/2.94 (assume @p200 (forall @t336 (=> @t345 (or @t360 @t374)))) % 2.71/2.94 (assume @p201 (forall @t336 (=> (and @t323 @t332 (|tptp.'@=<_fails'| @t322 @t327)) @t374))) % 2.71/2.94 (assume @p202 @t376) % 2.71/2.94 (assume @p203 (forall @t329 (=> (and @t372 @t364) @t362))) % 2.71/2.94 (assume @p204 (forall @t329 (=> (and @t360 @t377) @t362))) % 2.71/2.94 (assume @p205 (forall @t329 (=> (and @t372 @t377) (|tptp.'@=<_succeeds'| @t322 @t326)))) % 2.71/2.94 (assume @p206 @t379) % 2.71/2.94 (assume @p207 (forall @t324 (=> @t323 (|tptp.'@=<_succeeds'| @t322 @t343)))) % 2.71/2.94 (assume @p208 (forall @t324 (=> @t323 (|tptp.'@=<_fails'| @t343 @t322)))) % 2.71/2.94 (assume @p209 (forall @t329 (=> (and @t323 @t364) @t380))) % 2.71/2.94 (assume @p210 @t382) % 2.71/2.94 (assume @p211 (forall @t329 (=> (and @t360 @t332 @t330) @t383))) % 2.71/2.94 (assume @p212 (forall @t336 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t327) @t323 @t332) (|tptp.'@<_succeeds'| @t322 @t350)))) % 2.71/2.94 (assume @p213 (forall @t329 (=> (and @t323 @t377) @t384))) % 2.71/2.94 (assume @p214 (forall @t329 (=> @t385 (|tptp.'@=<_succeeds'| @t351 @t346)))) % 2.71/2.94 (assume @p215 @t387) % 2.71/2.94 (assume @p216 @t389) % 2.71/2.94 (assume @p217 (forall @t329 (=> (and @t323 @t380) @t364))) % 2.71/2.94 (assume @p218 (forall @t329 (=> (and @t323 @t332 @t330 @t383) @t360))) % 2.71/2.94 (assume @p219 (forall @t329 (=> (and @t323 @t384) @t377))) % 2.71/2.94 (assume @p220 (forall @t397 (=> (and @t396 @t395 @t394) (|tptp.'@=<_succeeds'| @t393 @t392)))) % 2.71/2.94 (assume @p221 (forall @t397 (=> (and @t399 @t395 @t394) @t398))) % 2.71/2.94 (assume @p222 (forall @t397 (=> (and @t396 @t400 @t394) @t398))) % 2.71/2.94 (assume @p223 (forall @t397 (=> (and @t399 @t400 @t394) @t398))) % 2.71/2.94 (assume @p224 (forall @t329 (=> (and @t323 @t377 @t330) (|tptp.'@=<_succeeds'| @t353 @t356)))) % 2.71/2.94 (assume @p225 (forall @t329 (=> @t385 (|tptp.'@=<_succeeds'| @t356 @t355)))) % 2.71/2.94 (assume @p226 (forall @t329 (=> (and @t323 @t371 @t364 @t330) (|tptp.'@<_succeeds'| @t353 @t356)))) % 2.71/2.94 (assume @p227 (forall @t329 (=> (and @t323 @t332 @t330 (|tptp.'@=<_succeeds'| @t354 (|tptp.'@*'| @t343 @t326))) @t377))) % 2.71/2.94 (assume @p228 (forall (@list @t161 @t166 @t327) (=> (and @t299 @t272 @t332 (= (|tptp.'@+'| @t161 @t327) (|tptp.'@+'| @t166 @t327))) (= @t161 @t166)))) % 2.71/2.94 (assume @p229 (forall @t324 (tptp.list_succeeds (tptp.cons @t322 tptp.nil)))) % 2.71/2.94 (assume @p230 (forall @t336 (tptp.list_succeeds (tptp.cons @t322 (tptp.cons @t327 tptp.nil))))) % 2.71/2.94 (assume @p231 (forall @t329 (tptp.list_succeeds (tptp.cons @t322 (tptp.cons @t327 (tptp.cons @t326 tptp.nil)))))) % 2.71/2.94 (assume @p232 @t406) % 2.71/2.94 (assume @p233 (forall @t407 (=> @t402 (tptp.list_terminates @t401)))) % 2.71/2.94 (assume @p234 (forall @t405 (=> @t402 (tptp.member_terminates @t322 @t401)))) % 2.71/2.94 (assume @p235 (forall @t405 (=> @t402 (or @t409 @t408)))) % 2.71/2.94 (assume @p236 (forall @t405 (=> (and @t409 @t410) @t325))) % 2.71/2.94 (assume @p237 (forall (@list @t322 @t327 @t326 @t401) (=> (and (tptp.member_succeeds @t322 @t412) @t411) @t409))) % 2.71/2.94 (assume @p238 (forall @t418 (=> @t417 @t414))) % 2.71/2.94 (assume @p239 (forall @t418 (=> (and @t417 @t420) @t419))) % 2.71/2.94 (assume @p240 (forall @t418 (=> @t421 @t420))) % 2.71/2.94 (assume @p241 (forall @t418 (=> @t421 @t422))) % 2.71/2.94 (assume @p242 (forall @t418 (=> @t414 @t423))) % 2.71/2.94 (assume @p243 (forall @t418 (=> @t419 @t423))) % 2.71/2.94 (assume @p244 (forall @t418 (=> (and @t417 @t426 @t425) @t424))) % 2.71/2.94 (assume @p245 (forall @t418 (=> (and @t417 @t424) @t427))) % 2.71/2.94 (assume @p246 (forall @t428 (=> @t414 (exists (@list @t415) @t417)))) % 2.71/2.94 (assume @p247 (forall @t430 (=> (and @t417 (tptp.append_succeeds @t413 @t416 @t429)) (= @t415 @t429)))) % 2.71/2.94 (assume @p248 (forall @t407 (= (|tptp.'**'| tptp.nil @t401) @t401))) % 2.71/2.94 (assume @p249 (forall @t433 (=> @t414 (= (|tptp.'**'| @t432 @t416) (tptp.cons @t322 @t431))))) % 2.71/2.94 (assume @p250 (forall @t428 (=> @t422 @t434))) % 2.71/2.94 (assume @p251 (forall @t428 (=> (and @t414 @t434) @t420))) % 2.71/2.94 (assume @p252 (forall @t428 (=> (and @t414 @t426 @t425) @t435))) % 2.71/2.94 (assume @p253 (forall @t428 (=> (and @t414 @t435) @t427))) % 2.71/2.94 (assume @p254 (forall @t418 (=> @t422 (= (|tptp.'**'| @t431 @t415) (|tptp.'**'| @t413 @t436))))) % 2.71/2.94 (assume @p255 (forall @t407 (=> @t402 (= (|tptp.'**'| @t401 tptp.nil) @t401)))) % 2.71/2.94 (assume @p256 (forall @t441 (=> @t440 @t439))) % 2.71/2.94 (assume @p257 (forall @t441 (=> @t402 (tptp.length_terminates @t401 @t437)))) % 2.71/2.94 (assume @p258 (forall @t441 (=> @t440 @t442))) % 2.71/2.94 (assume @p259 (forall @t407 (=> @t402 (exists @t443 @t440)))) % 2.71/2.94 (assume @p260 (forall (@list @t401 @t444 @t437) (=> (and (tptp.length_succeeds @t401 @t444) @t440) @t445))) % 2.71/2.94 (assume @p261 (= @t446 |tptp.'0'|)) % 2.71/2.94 (assume @p262 @t450) % 2.71/2.94 (assume @p263 @t452) % 2.71/2.94 (assume @p264 (forall @t407 (=> (and @t402 (= @t447 |tptp.'0'|)) @t453))) % 2.71/2.94 (assume @p265 (forall (@list @t437 @t413) (=> (and @t414 (= @t456 @t455)) (exists (@list @t322 @t416) (= @t413 @t454))))) % 2.71/2.94 (assume @p266 (forall @t428 (=> @t422 (= @t459 @t458)))) % 2.71/2.94 (assume @p267 (forall @t428 (=> @t422 (|tptp.'@=<_succeeds'| @t456 @t459)))) % 2.71/2.94 (assume @p268 (forall @t428 (=> @t422 (|tptp.'@=<_succeeds'| @t457 @t459)))) % 2.71/2.94 (assume @p269 @t461) % 2.71/2.94 (assume @p270 (forall @t418 (=> @t421 (= @t458 @t462)))) % 2.71/2.94 (assume @p271 (forall @t418 (=> @t421 (|tptp.'@=<_succeeds'| @t456 @t462)))) % 2.71/2.94 (assume @p272 (forall @t418 (=> @t421 (|tptp.'@=<_succeeds'| @t457 @t462)))) % 2.71/2.94 (assume @p273 (forall (@list @t322 @t463) (tptp.sub @t463 @t464))) % 2.71/2.94 (assume @p274 (forall @t407 (tptp.sub @t401 @t401))) % 2.71/2.94 (assume @p275 (forall (@list @t463 @t466 @t465) (=> (and @t467 (tptp.sub @t466 @t465)) (tptp.sub @t463 @t465)))) % 2.71/2.94 (assume @p276 (forall @t407 (tptp.sub tptp.nil @t401))) % 2.71/2.94 (assume @p277 (forall @t468 (=> (and @t467 (tptp.member_succeeds @t322 @t466)) (tptp.sub @t464 @t466)))) % 2.71/2.94 (assume @p278 (forall @t468 (=> @t467 (tptp.sub @t464 (tptp.cons @t322 @t466))))) % 2.71/2.94 (assume @p279 (forall (@list @t322 @t415) (=> @t470 (exists @t428 @t469)))) % 2.71/2.94 (assume @p280 (forall @t472 (=> (and @t417 @t471) @t470))) % 2.71/2.94 (assume @p281 (forall @t472 (=> (and @t417 @t473) @t470))) % 2.71/2.94 (assume @p282 (forall @t433 (=> (and @t471 @t414) @t474))) % 2.71/2.94 (assume @p283 (forall @t433 (=> (and @t473 @t414) @t474))) % 2.71/2.94 (assume @p284 (forall @t472 (=> @t469 @t470))) % 2.71/2.94 (assume @p285 (forall @t472 (=> (and @t417 @t470) @t475))) % 2.71/2.94 (assume @p286 (forall @t433 (=> (and @t414 @t474) @t475))) % 2.71/2.94 (assume @p287 (forall @t428 (=> @t414 (tptp.sub @t413 @t431)))) % 2.71/2.94 (assume @p288 (forall @t428 (=> @t414 (tptp.sub @t416 @t431)))) % 2.71/2.94 (assume @p289 (forall @t472 (=> @t421 (not (= @t416 (tptp.cons @t322 @t415)))))) % 2.71/2.94 (assume @p290 (forall @t428 (=> (and (tptp.append_succeeds @t413 @t416 @t416) @t420) (= @t413 tptp.nil)))) % 2.71/2.94 (assume @p291 (forall @t430 (=> (and @t417 (tptp.append_succeeds @t429 @t416 @t415) @t419) (= @t413 @t429)))) % 2.71/2.94 (assume @p292 (forall @t418 (=> (and @t414 @t420 @t419 (= (|tptp.'**'| @t413 @t415) @t436)) (= @t413 @t416)))) % 2.71/2.94 (assume @p293 (forall @t430 (=> (and @t417 (tptp.append_succeeds @t413 @t429 @t415)) (= @t416 @t429)))) % 2.71/2.94 (assume @p294 (forall @t407 (=> @t476 @t402))) % 2.71/2.94 (assume @p295 (forall @t407 (=> @t476 (tptp.nat_list_terminates @t401)))) % 2.71/2.94 (assume @p296 (forall @t324 (=> (tptp.nat_list_succeeds @t322) @t325))) % 2.71/2.94 (assume @p297 (forall (@list @t322 @t413 @t416 @t437) (=> (and @t414 @t420 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t432) @t457) @t455)) @t477))) % 2.71/2.94 (assume @p298 (forall (@list @t413 @t327 @t416 @t437) (=> (and @t414 @t420 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t456 (tptp.lh (tptp.cons @t327 @t416))) @t455)) @t477))) % 2.71/2.94 (assume @p299 (forall @t433 (=> @t414 @t478))) % 2.71/2.94 (assume @p300 (forall @t433 (=> @t420 @t478))) % 2.71/2.94 (assume @p301 (forall @t433 (=> @t480 @t420))) % 2.71/2.94 (assume @p302 (forall @t433 (=> (and @t479 @t420) @t414))) % 2.71/2.94 (assume @p303 (forall @t433 (=> @t480 (= @t456 (tptp.s @t457))))) % 2.71/2.94 (assume @p304 (forall @t433 (=> @t414 (tptp.delete_succeeds @t322 (|tptp.'**'| @t413 @t454) @t431)))) % 2.71/2.94 (assume @p305 (forall @t433 (=> @t479 (exists (@list @t415 @t429) (and @t419 (= @t413 (|tptp.'**'| @t415 (tptp.cons @t322 @t429))) (= @t416 @t481)))))) % 2.71/2.94 (assume @p306 (forall @t433 (=> (and @t479 @t483) (and @t323 @t482)))) % 2.71/2.94 (assume @p307 (forall @t433 (=> (and @t479 @t426) (and @t325 @t425)))) % 2.71/2.94 (assume @p308 (forall @t486 (=> (and @t479 @t485) (or @t484 (= @t327 @t322))))) % 2.71/2.94 (assume @p309 (forall @t433 (=> @t479 @t471))) % 2.71/2.94 (assume @p310 (forall @t486 (=> (and @t479 @t484) @t485))) % 2.71/2.94 (assume @p311 (forall (@list @t322 @t413) (=> @t471 @t488))) % 2.71/2.94 (assume @p312 (forall @t486 (=> (and @t479 @t485 @t411) @t484))) % 2.71/2.94 (assume @p313 (forall @t428 (=> @t489 @t422))) % 2.71/2.94 (assume @p314 (forall (@list @t437 @t413 @t416) (=> (and @t438 @t414 (= @t456 @t437)) @t490))) % 2.71/2.94 (assume @p315 (forall @t428 (=> @t414 @t490))) % 2.71/2.94 (assume @p316 (forall @t433 (=> @t422 (tptp.member2_terminates @t322 @t413 @t416)))) % 2.71/2.94 (assume @p317 (forall @t491 (=> (and @t402 @t410 @t325) (tptp.occ_terminates @t322 @t401 @t437)))) % 2.71/2.94 (assume @p318 (forall @t433 (=> (and (tptp.member2_succeeds @t322 @t413 @t416) @t426 @t425) @t325))) % 2.71/2.94 (assume @p319 (forall @t491 (=> @t492 @t442))) % 2.71/2.94 (assume @p320 (forall @t428 (=> @t493 (tptp.not_same_occ_terminates @t413 @t416)))) % 2.71/2.94 (assume @p321 (forall @t428 (=> @t493 (tptp.same_occ_terminates @t413 @t416)))) % 2.71/2.94 (assume @p322 (forall @t491 (=> @t492 @t439))) % 2.71/2.94 (assume @p323 (forall @t405 (=> @t402 (exists @t443 @t492)))) % 2.71/2.94 (assume @p324 (forall (@list @t322 @t401 @t444 @t437) (=> (and @t494 @t492) @t445))) % 2.71/2.94 (assume @p325 (forall @t324 (= (tptp.occ @t322 tptp.nil) |tptp.'0'|))) % 2.71/2.94 (assume @p326 (forall (@list @t322 @t327 @t401) (=> (and @t402 @t411) (= (tptp.occ @t322 @t412) @t495)))) % 2.71/2.94 (assume @p327 (forall @t405 (=> @t402 (= (tptp.occ @t322 @t403) (tptp.s @t495))))) % 2.71/2.94 (assume @p328 (forall @t405 (=> @t402 (tptp.nat_succeeds @t495)))) % 2.71/2.94 (assume @p329 (forall @t433 (=> @t422 (= (tptp.occ @t322 @t431) (|tptp.'@+'| @t497 @t496))))) % 2.71/2.94 (assume @p330 (forall @t486 (=> (and @t414 @t479 @t411) (= (tptp.occ @t327 @t413) (tptp.occ @t327 @t416))))) % 2.71/2.94 (assume @p331 (forall @t433 (=> (and @t414 @t479) (= @t497 (tptp.s @t496))))) % 2.71/2.94 (assume @p332 (forall @t428 (=> @t489 @t498))) % 2.71/2.94 (assume @p333 (forall @t428 (=> (and @t489 @t426 @t425) @t499))) % 2.71/2.94 (assume @p334 (forall @t407 (=> (and @t402 (forall @t324 @t500)) @t453))) % 2.71/2.94 (assume @p335 (forall (@list @t322 @t413 @t437) (=> (and @t414 (= @t497 @t455)) @t488))) % 2.71/2.94 (assume @p336 (forall @t487 (=> @t420 (forall (@list @t413) (=> (and @t414 @t498) @t489))))) % 2.71/2.94 (assume @p337 (forall @t428 (=> (and @t420 @t414 @t498) @t489))) % 2.71/2.94 (assume @p338 (forall @t405 (=> (and @t402 @t408) @t500))) % 2.71/2.94 (assume @p339 (forall @t428 (=> @t501 @t498))) % 2.71/2.94 (assume @p340 (forall @t428 (=> @t501 @t489))) % 2.71/2.94 (assume @p341 (forall @t407 (=> @t402 (tptp.permutation_succeeds @t401 @t401)))) % 2.71/2.94 (assume @p342 (forall @t428 (=> @t489 (tptp.permutation_succeeds @t416 @t413)))) % 2.71/2.94 (assume @p343 (forall @t418 (=> (and @t489 (tptp.permutation_succeeds @t416 @t415)) @t502))) % 2.71/2.94 (assume @p344 (forall @t430 (=> (and @t502 (tptp.permutation_succeeds @t416 @t429)) (tptp.permutation_succeeds @t431 @t481)))) % 2.71/2.94 (assume @p345 (forall @t428 (=> @t422 (tptp.permutation_succeeds @t431 (|tptp.'**'| @t416 @t413))))) % 2.71/2.94 (assume @p346 (forall @t428 (=> (and @t489 @t483) @t482))) % 2.71/2.94 (assume @p347 (forall @t491 (=> (and @t402 (tptp.occ_succeeds @t322 @t401 @t455)) @t409))) % 2.71/2.94 (assume @p348 (forall @t491 (=> (and @t402 @t503) @t409))) % 2.71/2.94 (assume @p349 (forall @t405 (=> (and @t402 @t409) (exists @t443 @t503)))) % 2.71/2.94 (assume @p350 (forall @t433 (=> (and @t489 @t471) @t473))) % 2.71/2.94 (assume @p351 (forall @t433 (=> (tptp.permutation_succeeds @t432 @t454) @t489))) % 2.71/2.94 (assume @p352 (forall @t407 (=> (tptp.permutation_succeeds tptp.nil @t401) @t453))) % 2.71/2.94 (assume @p353 (forall @t428 (=> (and @t489 @t426) @t425))) % 2.71/2.94 (assume @p354 (forall @t428 (=> @t489 (= @t456 @t457)))) % 2.71/2.94 (assume @p355 (forall @t336 (=> (and @t505 @t504) (|tptp.'=<_terminates'| @t322 @t327)))) % 2.71/2.94 (assume @p356 (forall @t324 (=> @t505 @t325))) % 2.71/2.94 (assume @p357 (forall @t336 (=> (and @t505 @t504 (|tptp.'=<_fails'| @t322 @t327)) (|tptp.'=<_succeeds'| @t327 @t322)))) % 2.71/2.94 (assume @p358 (forall @t329 (=> @t323 (= (= @t342 @t326) @t331)))) % 2.71/2.94 (assume @p359 (forall @t329 (=> @t345 (= (= @t353 @t326) @t352)))) % 2.71/2.94 (assume @p360 (forall @t418 (=> @t414 (= (= @t431 @t415) @t417)))) % 2.71/2.94 (assume @p361 (forall @t441 (=> @t402 (= (= @t447 @t437) @t440)))) % 2.71/2.94 (assume @p362 (forall @t428 (= (tptp.sub @t413 @t416) (forall @t324 (=> @t471 @t473))))) % 2.71/2.94 (assume @p363 (forall (@list @t322 @t401 @t444) (=> @t402 (= (= @t495 @t444) @t494)))) % 2.71/2.94 (assume @p364 (forall @t407 (=> (tptp.int_list_succeeds @t401) @t402))) % 2.71/2.94 (assume @p365 @t508) % 2.71/2.94 (assume @p366 @t510) % 2.71/2.94 (assume @p367 (forall @t418 (=> @t414 (tptp.split_terminates @t413 @t416 @t415)))) % 2.71/2.94 (assume @p368 (forall @t418 (=> (and (tptp.merge_succeeds @t413 @t416 @t415) @t513 @t512) @t511))) % 2.71/2.94 (assume @p369 (forall @t418 (=> (and @t507 @t513) (and @t512 @t511)))) % 2.71/2.94 (assume @p370 (forall @t428 (=> (and (tptp.mergesort_succeeds @t413 @t416) @t513) @t512))) % 2.71/2.94 (assume @p371 (forall @t443 (=> @t438 (forall @t418 (=> (and @t513 @t512 @t477) @t514))))) % 2.71/2.94 (assume @p372 (forall @t418 (=> (and @t513 @t512) @t514))) % 2.71/2.94 (assume @p373 (=> true true)) % 2.71/2.94 (assume @p374 @t521) % 2.71/2.94 (assume @p375 true) % 2.71/2.94 (step @p376 :rule symm :premises (@p261)) % 2.71/2.94 (step @p377 :rule refl :args (@t209)) % 2.71/2.94 (step @p378 :rule eq-symm :args (@t166 tptp.nil)) % 2.71/2.94 (step @p379 :rule eq-symm :args (@t161 tptp.nil)) % 2.71/2.94 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377) :args (@t210)) % 2.71/2.94 (step @p381 :rule aci_norm :args ((= (or @t524 (or @t221 @t522)) @t525))) % 2.71/2.94 (step @p382 :rule bool-and-de-morgan :args (@t213 @t211 true)) % 2.71/2.94 (step @p383 :rule refl :args (@t524)) % 2.71/2.94 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t524 (not (and @t213 @t211))))) % 2.71/2.94 (step @p385 :rule bool-and-de-morgan :args (@t523 @t213 (and @t211))) % 2.71/2.94 (step @p386 :rule trans :premises (@p385 @p384)) % 2.71/2.94 (step @p387 :rule trans :premises (@p386 @p381)) % 2.71/2.94 (step @p388 :rule cong :premises (@p387) :args (@t527)) % 2.71/2.94 (step @p389 :rule cong :premises (@p388) :args (@t528)) % 2.71/2.94 (step @p390 :rule exists-elim :args ((= (exists 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bool-double-not-elim :args (@t712)) % 2.71/2.94 (step @p834 :rule refl :args (@t744)) % 2.71/2.94 (step @p835 :rule refl :args (@t745)) % 2.71/2.94 (step @p836 :rule nary_cong :premises (@p835 @p834 @p833 @p832 @p831) :args ((or @t745 @t744 (not @t713) @t743 @t742))) % 2.71/2.94 (assume-push @p1072 @t713) % 2.71/2.94 (assume-push @p1073 @t678) % 2.71/2.94 (assume-push @p1074 @t605) % 2.71/2.94 (assume-push @p1075 @t707) % 2.71/2.94 (assume-push @p1076 @t704) % 2.71/2.94 (step @p842 :rule evaluate :args (@t746)) % 2.71/2.94 (step @p843 :rule false_intro :premises (@p1072)) % 2.71/2.94 (step @p844 :rule cong :premises (@p515) :args (@t706)) % 2.71/2.94 (step @p845 :rule symm :premises (@p724)) % 2.71/2.94 (step @p846 :rule trans :premises (@p845 @p844)) % 2.71/2.94 (step @p847 :rule symm :premises (@p1073)) % 2.71/2.94 (step @p848 :rule cong :premises (@p847 @p846) :args (@t704)) % 2.71/2.94 (step @p849 :rule true_intro :premises (@p720)) % 2.71/2.94 (step @p850 :rule symm :premises (@p849)) % 2.71/2.94 (step @p851 :rule trans :premises (@p850 @p848 @p843)) % 2.71/2.94 (step @p852 false :rule eq_resolve :premises (@p851 @p842)) % 2.71/2.94 (step-pop @p1077 :rule scope :premises (@p852)) % 2.71/2.94 (step-pop @p1078 :rule scope :premises (@p1077)) % 2.71/2.94 (step-pop @p1079 :rule scope :premises (@p1078)) % 2.71/2.94 (step-pop @p1080 :rule scope :premises (@p1079)) % 2.71/2.94 (step-pop @p1081 :rule scope :premises (@p1080)) % 2.71/2.94 (step @p853 :rule process_scope :premises (@p1081) :args (false)) % 2.71/2.94 (assume-push @p1082 @t678) % 2.71/2.94 (assume-push @p1083 @t605) % 2.71/2.94 (assume-push @p1084 @t713) % 2.71/2.94 (assume-push @p1085 @t707) % 2.71/2.94 (assume-push @p1086 @t704) % 2.71/2.94 (step @p864 :rule and_intro :premises (@p1084 @p1082 @p514 @p724 @p720)) % 2.71/2.94 (step-pop @p1087 :rule scope :premises (@p864)) % 2.71/2.94 (step-pop @p1088 :rule scope :premises (@p1087)) % 2.71/2.94 (step-pop @p1089 :rule scope :premises (@p1088)) % 2.71/2.94 (step-pop @p1090 :rule scope :premises (@p1089)) % 2.71/2.94 (step-pop @p1091 :rule scope :premises (@p1090)) % 2.71/2.94 (step @p865 :rule process_scope :premises (@p1091) :args (@t747)) % 2.71/2.94 (step @p871 :rule implies_elim :premises (@p865)) % 2.71/2.94 (step @p872 :rule resolution :premises (@p871 @p853) :args (true @t747)) % 2.71/2.94 (step @p873 :rule not_and :premises (@p872)) % 2.71/2.94 (step @p874 :rule eq_resolve :premises (@p873 @p836)) % 2.71/2.94 (step @p875 :rule reordering :premises (@p874) :args ((or @t745 @t712 @t744 @t743 @t742))) % 2.71/2.94 (step @p876 :rule chain_m_resolution :premises (@p875 @p830 @p514 @p724 @p720) :args (@t745 @t748 (@list @t712 @t605 @t707 @t704))) % 2.71/2.94 (step @p877 :rule instantiate :premises (@p680) :args ((@list @t537))) % 2.71/2.94 (step @p878 :rule cnf_or_pos :args (@t749)) % 2.71/2.94 (step @p879 :rule reordering :premises (@p878) :args ((or @t672 @t723 (not @t749)))) % 2.71/2.94 (step @p880 :rule chain_m_resolution :premises (@p879 @p765 @p877) :args (@t672 @t588 (@list @t684 @t749))) % 2.71/2.94 (step @p881 :rule cnf_or_pos :args (@t679)) % 2.71/2.94 (step @p882 :rule reordering :premises (@p881) :args ((or @t580 @t673 @t678 @t675 (not @t679)))) % 2.71/2.94 (step @p883 :rule chain_m_resolution :premises (@p882 @p880 @p876 @p713 @p667) :args (@t580 (@list false true false false) (@list @t672 @t678 @t674 @t679))) % 2.71/2.94 (step @p884 :rule cnf_equiv_pos1 :args (@t668)) % 2.71/2.94 (step @p885 :rule reordering :premises (@p884) :args ((or (not @t580) @t667 (not @t668)))) % 2.71/2.94 (step @p886 :rule chain_m_resolution :premises (@p885 @p883 @p645) :args (@t667 @t588 (@list @t580 @t668))) % 2.71/2.94 (step @p887 :rule bool-impl-elim :args (@t323 @t381)) % 2.71/2.94 (step @p888 :rule cong :premises (@p887) :args (@t382)) % 2.71/2.94 (step @p889 :rule eq_resolve :premises (@p210 @p888)) % 2.71/2.94 (step @p890 :rule instantiate :premises (@p889) :args ((@list @t581 @t750))) % 2.71/2.94 (step @p891 :rule cnf_or_pos :args (@t754)) % 2.71/2.94 (step @p892 :rule reordering :premises (@p891) :args ((or @t698 @t753 (not @t754)))) % 2.71/2.94 (step @p893 :rule chain_m_resolution :premises (@p892 @p698 @p890) :args (@t753 @t588 (@list @t692 @t754))) % 2.71/2.94 (step @p894 :rule instantiate :premises (@p749) :args ((@list @t578))) % 2.71/2.94 (step @p895 :rule cnf_or_pos :args (@t757)) % 2.71/2.94 (step @p896 :rule reordering :premises (@p895) :args ((or @t673 @t756 (not @t757)))) % 2.71/2.94 (step @p897 :rule chain_m_resolution :premises (@p896 @p880 @p894) :args (@t756 @t588 (@list @t672 @t757))) % 2.71/2.94 (step @p898 :rule instantiate :premises (@p654) :args ((@list @t581 @t578))) % 2.71/2.94 (step @p899 :rule instantiate :premises (@p716) :args (@t681)) % 2.71/2.94 (step @p900 :rule cnf_or_pos :args (@t759)) % 2.71/2.94 (step @p901 :rule reordering :premises (@p900) :args ((or @t698 @t758 (not @t759)))) % 2.71/2.94 (step @p902 :rule chain_m_resolution :premises (@p901 @p698 @p899) :args (@t758 @t588 (@list @t692 @t759))) % 2.71/2.94 (step @p903 :rule true_intro :premises (@p902)) % 2.71/2.94 (step @p904 :rule refl :args (@t581)) % 2.71/2.94 (step @p905 :rule cong :premises (@p904 @p709) :args (@t760)) % 2.71/2.94 (step @p906 :rule trans :premises (@p905 @p903)) % 2.71/2.94 (step @p907 :rule true_elim :premises (@p906)) % 2.71/2.94 (step @p908 :rule cnf_or_neg :args (@t585 1)) % 2.71/2.94 (step @p909 :rule chain_m_resolution :premises (@p908 @p452) :args ((not @t583) @t586 @t587)) % 2.71/2.94 (step @p910 :rule cnf_and_neg :args (@t583)) % 2.71/2.94 (step @p911 :rule chain_m_resolution :premises (@p910 @p909 @p883) :args ((not @t582) @t591 (@list @t583 @t580))) % 2.71/2.94 (step @p912 :rule cnf_or_pos :args (@t763)) % 2.71/2.94 (step @p913 :rule reordering :premises (@p912) :args ((or @t582 @t673 @t761 @t762 (not @t763)))) % 2.71/2.94 (step @p914 :rule chain_m_resolution :premises (@p913 @p911 @p880 @p907 @p898) :args (@t761 @t748 (@list @t582 @t672 @t760 @t763))) % 2.71/2.94 (step @p915 :rule refl :args (@t764)) % 2.71/2.94 (step @p916 :rule bool-double-not-elim :args (@t755)) % 2.71/2.94 (step @p917 :rule refl :args (@t766)) % 2.71/2.94 (step @p918 :rule refl :args (@t767)) % 2.71/2.94 (step @p919 :rule refl :args (@t768)) % 2.71/2.94 (step @p920 :rule nary_cong :premises (@p919 @p918 @p917 @p916 @p915) :args ((or @t768 @t767 @t766 (not @t756) @t764))) % 2.71/2.94 (assume-push @p1092 @t756) % 2.71/2.94 (assume-push @p1093 @t761) % 2.71/2.94 (assume-push @p1094 @t700) % 2.71/2.94 (assume-push @p1095 @t765) % 2.71/2.94 (assume-push @p1096 @t753) % 2.71/2.94 (step @p842 :rule evaluate :args (@t746)) % 2.71/2.94 (step @p926 :rule false_intro :premises (@p897)) % 2.71/2.94 (step @p927 :rule symm :premises (@p709)) % 2.71/2.94 (step @p928 :rule symm :premises (@p1095)) % 2.71/2.94 (step @p929 :rule cong :premises (@p904 @p928) :args (@t752)) % 2.71/2.94 (step @p930 :rule trans :premises (@p929 @p927)) % 2.71/2.94 (step @p931 :rule cong :premises (@p1093 @p930) :args (@t753)) % 2.71/2.94 (step @p932 :rule true_intro :premises (@p893)) % 2.71/2.94 (step @p933 :rule symm :premises (@p932)) % 2.71/2.94 (step @p934 :rule trans :premises (@p933 @p931 @p926)) % 2.71/2.94 (step @p935 false :rule eq_resolve :premises (@p934 @p842)) % 2.71/2.94 (step-pop @p1097 :rule scope :premises (@p935)) % 2.71/2.94 (step-pop @p1098 :rule scope :premises (@p1097)) % 2.71/2.94 (step-pop @p1099 :rule scope :premises (@p1098)) % 2.71/2.94 (step-pop @p1100 :rule scope :premises (@p1099)) % 2.71/2.94 (step-pop @p1101 :rule scope :premises (@p1100)) % 2.71/2.94 (step @p936 :rule process_scope :premises (@p1101) :args (false)) % 2.71/2.94 (assume-push @p1102 @t761) % 2.71/2.94 (assume-push @p1103 @t700) % 2.71/2.94 (assume-push @p1104 @t765) % 2.71/2.94 (assume-push @p1105 @t756) % 2.71/2.94 (assume-push @p1106 @t753) % 2.71/2.94 (step @p947 :rule and_intro :premises (@p897 @p1102 @p709 @p1104 @p893)) % 2.71/2.94 (step-pop @p1107 :rule scope :premises (@p947)) % 2.71/2.94 (step-pop @p1108 :rule scope :premises (@p1107)) % 2.71/2.94 (step-pop @p1109 :rule scope :premises (@p1108)) % 2.71/2.94 (step-pop @p1110 :rule scope :premises (@p1109)) % 2.71/2.94 (step-pop @p1111 :rule scope :premises (@p1110)) % 2.71/2.94 (step @p948 :rule process_scope :premises (@p1111) :args (@t769)) % 2.71/2.94 (step @p954 :rule implies_elim :premises (@p948)) % 2.71/2.94 (step @p955 :rule resolution :premises (@p954 @p936) :args (true @t769)) % 2.71/2.94 (step @p956 :rule not_and :premises (@p955)) % 2.71/2.94 (step @p957 :rule eq_resolve :premises (@p956 @p920)) % 2.71/2.94 (step @p958 :rule chain_m_resolution :premises (@p957 @p914 @p709 @p897 @p893) :args (@t766 (@list false false true false) (@list @t761 @t700 @t755 @t753))) % 2.71/2.94 (step @p959 :rule bool-double-not-elim :args (@t765)) % 2.71/2.94 (step @p960 :rule refl :args (@t773)) % 2.71/2.94 (step @p961 :rule nary_cong :premises (@p960 @p959) :args ((or @t773 (not @t766)))) % 2.71/2.94 (step @p962 :rule cnf_or_neg :args (@t773 0)) % 2.71/2.94 (step @p963 :rule eq_resolve :premises (@p962 @p961)) % 2.71/2.94 (step @p964 :rule reordering :premises (@p963) :args ((or @t765 @t773))) % 2.71/2.94 (step @p965 :rule chain_m_resolution :premises (@p964 @p958) :args (@t773 @t586 (@list @t765))) % 2.71/2.94 (step @p966 :rule refl :args (@t774)) % 2.71/2.94 (step @p967 :rule bool-double-not-elim :args (@t665)) % 2.71/2.94 (step @p968 :rule nary_cong :premises (@p967 @p966) :args ((or (not @t666) @t774))) % 2.71/2.94 (step @p969 :rule refl :args (@t771)) % 2.71/2.96 (step @p970 :rule eq-symm :args (@t772 @t578)) % 2.71/2.96 (step @p971 :rule cong :premises (@p970) :args (@t775)) % 2.71/2.96 (step @p972 :rule eq-symm :args (@t751 @t579)) % 2.71/2.96 (step @p973 :rule cong :premises (@p972) :args (@t776)) % 2.71/2.96 (step @p974 :rule nary_cong :premises (@p973 @p971 @p969) :args (@t777)) % 2.71/2.96 (step @p975 :rule cong :premises (@p974) :args (@t778)) % 2.71/2.96 (step @p976 :rule refl :args (@t666)) % 2.71/2.96 (step @p977 :rule cong :premises (@p976 @p975) :args ((=> @t666 @t778))) % 2.71/2.96 (assume-push @p1112 @t666) % 2.71/2.96 (step @p979 :rule skolemize :premises (@p1112)) % 2.71/2.96 (step-pop @p1113 :rule scope :premises (@p979)) % 2.71/2.96 (step @p980 :rule process_scope :premises (@p1113) :args (@t778)) % 2.71/2.96 (step @p982 :rule eq_resolve :premises (@p980 @p977)) % 2.71/2.96 (step @p983 :rule implies_elim :premises (@p982)) % 2.71/2.96 (step @p984 :rule eq_resolve :premises (@p983 @p968)) % 2.71/2.96 (step @p985 :rule chain_m_resolution :premises (@p984 @p965) :args (@t665 @t561 (@list @t773))) % 2.71/2.96 (step @p986 :rule cnf_or_pos :args (@t667)) % 2.71/2.96 (step @p987 :rule reordering :premises (@p986) :args ((or @t666 @t664 (not @t667)))) % 2.71/2.96 (step @p988 :rule chain_m_resolution :premises (@p987 @p985 @p886) :args (@t664 @t588 (@list @t665 @t667))) % 2.71/2.96 (step @p989 :rule cnf_and_pos :args (@t664 0)) % 2.71/2.96 (step @p990 :rule reordering :premises (@p989) :args ((or @t653 (not @t664)))) % 2.71/2.96 (step @p991 :rule chain_m_resolution :premises (@p990 @p988) :args (@t653 @t561 (@list @t664))) % 2.71/2.96 (step @p992 :rule instantiate :premises (@p1) :args ((@list @t627))) % 2.71/2.96 (step @p993 :rule bool-double-not-elim :args (@t779)) % 2.71/2.96 (step @p994 :rule refl :args (@t780)) % 2.71/2.96 (step @p995 :rule refl :args (@t615)) % 2.71/2.96 (step @p996 :rule refl :args (@t781)) % 2.71/2.96 (step @p997 :rule refl :args (@t783)) % 2.71/2.96 (step @p998 :rule nary_cong :premises (@p997 @p996 @p995 @p994 @p993) :args ((or @t783 @t781 @t615 @t780 (not @t784)))) % 2.71/2.96 (assume-push @p1114 @t784) % 2.71/2.96 (assume-push @p1115 @t785) % 2.71/2.96 (assume-push @p1116 @t782) % 2.71/2.96 (step @p842 :rule evaluate :args (@t746)) % 2.71/2.96 (step @p1002 :rule false_intro :premises (@p992)) % 2.71/2.96 (step @p1003 :rule trans :premises (@p376 @p1115)) % 2.71/2.96 (step @p1004 :rule true_intro :premises (@p1003)) % 2.71/2.96 (step @p1005 :rule symm :premises (@p1004)) % 2.71/2.96 (step @p1006 :rule trans :premises (@p1005 @p1002)) % 2.71/2.96 (step @p1007 false :rule eq_resolve :premises (@p1006 @p842)) % 2.71/2.96 (step-pop @p1117 :rule scope :premises (@p1007)) % 2.71/2.96 (step-pop @p1118 :rule scope :premises (@p1117)) % 2.71/2.96 (step-pop @p1119 :rule scope :premises (@p1118)) % 2.71/2.96 (step @p1008 :rule process_scope :premises (@p1119) :args (false)) % 2.71/2.96 (assume-push @p1120 @t782) % 2.71/2.96 (assume-push @p1121 @t653) % 2.71/2.96 (assume-push @p1122 @t614) % 2.71/2.96 (assume-push @p1123 @t629) % 2.71/2.96 (assume-push @p1124 @t784) % 2.71/2.96 (assume-push @p1125 @t629) % 2.71/2.96 (assume-push @p1126 @t614) % 2.71/2.96 (assume-push @p1127 @t653) % 2.71/2.96 (assume-push @p1128 @t782) % 2.71/2.96 (step @p1021 :rule cong :premises (@p552) :args (@t579)) % 2.71/2.96 (step @p1022 :rule trans :premises (@p261 @p1121 @p1021 @p575)) % 2.71/2.96 (step-pop @p1129 :rule scope :premises (@p1022)) % 2.71/2.96 (step-pop @p1130 :rule scope :premises (@p1129)) % 2.71/2.96 (step-pop @p1131 :rule scope :premises (@p1130)) % 2.71/2.96 (step-pop @p1132 :rule scope :premises (@p1131)) % 2.71/2.96 (step @p1023 :rule process_scope :premises (@p1132) :args (@t785)) % 2.71/2.96 (step @p1028 :rule and_intro :premises (@p575 @p552 @p1121 @p376)) % 2.71/2.96 (step @p1029 :rule modus_ponens :premises (@p1028 @p1023)) % 2.71/2.96 (step @p1030 :rule and_intro :premises (@p992 @p1029 @p376)) % 2.71/2.96 (step-pop @p1133 :rule scope :premises (@p1030)) % 2.71/2.96 (step-pop @p1134 :rule scope :premises (@p1133)) % 2.71/2.96 (step-pop @p1135 :rule scope :premises (@p1134)) % 2.71/2.96 (step-pop @p1136 :rule scope :premises (@p1135)) % 2.71/2.96 (step-pop @p1137 :rule scope :premises (@p1136)) % 2.71/2.96 (step @p1031 :rule process_scope :premises (@p1137) :args (@t786)) % 2.71/2.96 (step @p1037 :rule implies_elim :premises (@p1031)) % 2.71/2.96 (step @p1038 :rule resolution :premises (@p1037 @p1008) :args (true @t786)) % 2.71/2.96 (step @p1039 :rule not_and :premises (@p1038)) % 2.71/2.96 (step @p1040 :rule eq_resolve :premises (@p1039 @p998)) % 2.71/2.96 (step @p1041 false :rule chain_m_resolution :premises (@p1040 @p992 @p991 @p575 @p552 @p376) :args (false (@list true false false false false) (@list @t779 @t653 @t629 @t614 @t782))) % 2.71/2.96 ) % 2.71/2.96 % SZS output end Proof % 2.71/2.96 % cvc5 exiting %------------------------------------------------------------------------------