%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX051+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 : n020.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 09:07:03 AM UTC 2026 % Result : Theorem 5.63s 5.84s % Output : Proof 5.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX051+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 : n020.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:54:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.41/0.57 %----Proving TF0_NAR, FOF, or CNF % 5.63/5.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.63/5.84 % SZS status Theorem % 5.63/5.84 % SZS output start Proof % 5.63/5.84 ( % 5.63/5.84 (declare-sort $$unsorted 0) % 5.63/5.84 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.not_same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.occ_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.occ_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.member2_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.gr (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.not_same_occ_fails (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.permutation_succeeds (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.occ_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 5.63/5.84 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'0'| $$unsorted) % 5.63/5.84 (declare-const tptp.member2_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.member2_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.nil $$unsorted) % 5.63/5.84 (declare-const tptp.not_same_occ_terminates (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.same_occ_fails (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.occ (-> $$unsorted $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.same_occ_succeeds (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.permutation_fails (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.permutation_terminates (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 5.63/5.84 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.63/5.84 (define @t1 () (@var "Xx3" $$unsorted)) % 5.63/5.84 (define @t2 () (tptp.s @t1)) % 5.63/5.84 (define @t3 () (@var "Xx5" $$unsorted)) % 5.63/5.84 (define @t4 () (@var "Xx4" $$unsorted)) % 5.63/5.84 (define @t5 () (tptp.cons @t4 @t3)) % 5.63/5.84 (define @t6 () (@list @t4 @t3)) % 5.63/5.84 (define @t7 () (@var "Xx6" $$unsorted)) % 5.63/5.84 (define @t8 () (@var "Xx8" $$unsorted)) % 5.63/5.84 (define @t9 () (@var "Xx7" $$unsorted)) % 5.63/5.84 (define @t10 () (@var "Xx10" $$unsorted)) % 5.63/5.84 (define @t11 () (@var "Xx9" $$unsorted)) % 5.63/5.84 (define @t12 () (@var "Xx13" $$unsorted)) % 5.63/5.84 (define @t13 () (@var "Xx12" $$unsorted)) % 5.63/5.84 (define @t14 () (@var "Xx11" $$unsorted)) % 5.63/5.84 (define @t15 () (@var "Xx17" $$unsorted)) % 5.63/5.84 (define @t16 () (@var "Xx15" $$unsorted)) % 5.63/5.84 (define @t17 () (= @t16 @t15)) % 5.63/5.84 (define @t18 () (@var "Xx16" $$unsorted)) % 5.63/5.84 (define @t19 () (@var "Xx14" $$unsorted)) % 5.63/5.84 (define @t20 () (= (tptp.cons @t19 @t16) (tptp.cons @t18 @t15))) % 5.63/5.84 (define @t21 () (forall (@list @t19 @t16 @t18 @t15) (=> @t20 @t17))) % 5.63/5.84 (define @t22 () (@var "Xx20" $$unsorted)) % 5.63/5.84 (define @t23 () (@var "Xx18" $$unsorted)) % 5.63/5.84 (define @t24 () (@var "Xx21" $$unsorted)) % 5.63/5.84 (define @t25 () (@var "Xx19" $$unsorted)) % 5.63/5.84 (define @t26 () (@var "Xx22" $$unsorted)) % 5.63/5.84 (define @t27 () (@var "Xx24" $$unsorted)) % 5.63/5.84 (define @t28 () (@var "Xx23" $$unsorted)) % 5.63/5.84 (define @t29 () (@var "Xx27" $$unsorted)) % 5.63/5.84 (define @t30 () (@var "Xx26" $$unsorted)) % 5.63/5.84 (define @t31 () (@var "Xx25" $$unsorted)) % 5.63/5.84 (define @t32 () (tptp.member2_fails @t31 @t30 @t29)) % 5.63/5.84 (define @t33 () (tptp.member2_succeeds @t31 @t30 @t29)) % 5.63/5.84 (define @t34 () (@list @t31 @t30 @t29)) % 5.63/5.84 (define @t35 () (@var "Xx30" $$unsorted)) % 5.63/5.84 (define @t36 () (@var "Xx29" $$unsorted)) % 5.63/5.84 (define @t37 () (@var "Xx28" $$unsorted)) % 5.63/5.84 (define @t38 () (tptp.occ_fails @t37 @t36 @t35)) % 5.63/5.84 (define @t39 () (tptp.occ_succeeds @t37 @t36 @t35)) % 5.63/5.84 (define @t40 () (@list @t37 @t36 @t35)) % 5.63/5.84 (define @t41 () (@var "Xx32" $$unsorted)) % 5.63/5.84 (define @t42 () (@var "Xx31" $$unsorted)) % 5.63/5.84 (define @t43 () (tptp.not_same_occ_fails @t42 @t41)) % 5.63/5.84 (define @t44 () (tptp.not_same_occ_succeeds @t42 @t41)) % 5.63/5.84 (define @t45 () (@list @t42 @t41)) % 5.63/5.84 (define @t46 () (@var "Xx34" $$unsorted)) % 5.63/5.84 (define @t47 () (@var "Xx33" $$unsorted)) % 5.63/5.84 (define @t48 () (tptp.same_occ_fails @t47 @t46)) % 5.63/5.84 (define @t49 () (tptp.same_occ_succeeds @t47 @t46)) % 5.63/5.84 (define @t50 () (@list @t47 @t46)) % 5.63/5.84 (define @t51 () (@var "Xx36" $$unsorted)) % 5.63/5.84 (define @t52 () (@var "Xx35" $$unsorted)) % 5.63/5.84 (define @t53 () (tptp.permutation_fails @t52 @t51)) % 5.63/5.84 (define @t54 () (tptp.permutation_succeeds @t52 @t51)) % 5.63/5.84 (define @t55 () (@list @t52 @t51)) % 5.63/5.84 (define @t56 () (@var "Xx39" $$unsorted)) % 5.63/5.84 (define @t57 () (@var "Xx38" $$unsorted)) % 5.63/5.84 (define @t58 () (@var "Xx37" $$unsorted)) % 5.63/5.84 (define @t59 () (tptp.delete_fails @t58 @t57 @t56)) % 5.63/5.84 (define @t60 () (tptp.delete_succeeds @t58 @t57 @t56)) % 5.63/5.84 (define @t61 () (@list @t58 @t57 @t56)) % 5.63/5.84 (define @t62 () (@var "Xx41" $$unsorted)) % 5.63/5.84 (define @t63 () (@var "Xx40" $$unsorted)) % 5.63/5.84 (define @t64 () (tptp.length_fails @t63 @t62)) % 5.63/5.84 (define @t65 () (tptp.length_succeeds @t63 @t62)) % 5.63/5.84 (define @t66 () (@list @t63 @t62)) % 5.63/5.84 (define @t67 () (@var "Xx44" $$unsorted)) % 5.63/5.84 (define @t68 () (@var "Xx43" $$unsorted)) % 5.63/5.84 (define @t69 () (@var "Xx42" $$unsorted)) % 5.63/5.84 (define @t70 () (tptp.append_fails @t69 @t68 @t67)) % 5.63/5.84 (define @t71 () (tptp.append_succeeds @t69 @t68 @t67)) % 5.63/5.84 (define @t72 () (@list @t69 @t68 @t67)) % 5.63/5.84 (define @t73 () (@var "Xx46" $$unsorted)) % 5.63/5.84 (define @t74 () (@var "Xx45" $$unsorted)) % 5.63/5.84 (define @t75 () (tptp.member_fails @t74 @t73)) % 5.63/5.84 (define @t76 () (tptp.member_succeeds @t74 @t73)) % 5.63/5.84 (define @t77 () (@list @t74 @t73)) % 5.63/5.84 (define @t78 () (@var "Xx47" $$unsorted)) % 5.63/5.84 (define @t79 () (tptp.list_fails @t78)) % 5.63/5.84 (define @t80 () (tptp.list_succeeds @t78)) % 5.63/5.84 (define @t81 () (@list @t78)) % 5.63/5.84 (define @t82 () (@var "Xx48" $$unsorted)) % 5.63/5.84 (define @t83 () (tptp.nat_list_fails @t82)) % 5.63/5.84 (define @t84 () (tptp.nat_list_succeeds @t82)) % 5.63/5.84 (define @t85 () (@list @t82)) % 5.63/5.84 (define @t86 () (@var "Xx51" $$unsorted)) % 5.63/5.84 (define @t87 () (@var "Xx50" $$unsorted)) % 5.63/5.84 (define @t88 () (@var "Xx49" $$unsorted)) % 5.63/5.84 (define @t89 () (tptp.times_fails @t88 @t87 @t86)) % 5.63/5.84 (define @t90 () (tptp.times_succeeds @t88 @t87 @t86)) % 5.63/5.84 (define @t91 () (@list @t88 @t87 @t86)) % 5.63/5.84 (define @t92 () (@var "Xx54" $$unsorted)) % 5.63/5.84 (define @t93 () (@var "Xx53" $$unsorted)) % 5.63/5.84 (define @t94 () (@var "Xx52" $$unsorted)) % 5.63/5.84 (define @t95 () (tptp.plus_fails @t94 @t93 @t92)) % 5.63/5.84 (define @t96 () (tptp.plus_succeeds @t94 @t93 @t92)) % 5.63/5.84 (define @t97 () (@list @t94 @t93 @t92)) % 5.63/5.84 (define @t98 () (@var "Xx56" $$unsorted)) % 5.63/5.84 (define @t99 () (@var "Xx55" $$unsorted)) % 5.63/5.84 (define @t100 () (|tptp.'@=<_fails'| @t99 @t98)) % 5.63/5.84 (define @t101 () (|tptp.'@=<_succeeds'| @t99 @t98)) % 5.63/5.84 (define @t102 () (@list @t99 @t98)) % 5.63/5.84 (define @t103 () (@var "Xx58" $$unsorted)) % 5.63/5.84 (define @t104 () (@var "Xx57" $$unsorted)) % 5.63/5.84 (define @t105 () (|tptp.'@<_fails'| @t104 @t103)) % 5.63/5.84 (define @t106 () (|tptp.'@<_succeeds'| @t104 @t103)) % 5.63/5.84 (define @t107 () (@list @t104 @t103)) % 5.63/5.84 (define @t108 () (@var "Xx59" $$unsorted)) % 5.63/5.84 (define @t109 () (tptp.nat_fails @t108)) % 5.63/5.84 (define @t110 () (tptp.nat_succeeds @t108)) % 5.63/5.84 (define @t111 () (@list @t108)) % 5.63/5.84 (define @t112 () (@var "Xx2" $$unsorted)) % 5.63/5.84 (define @t113 () (@var "Xx1" $$unsorted)) % 5.63/5.84 (define @t114 () (tptp.member_succeeds @t113 @t112)) % 5.63/5.84 (define @t115 () (@list @t113 @t112 @t1)) % 5.63/5.84 (define @t116 () (tptp.member_fails @t113 @t112)) % 5.63/5.84 (define @t117 () (tptp.member_terminates @t113 @t112)) % 5.63/5.84 (define @t118 () (= @t1 |tptp.'0'|)) % 5.63/5.84 (define @t119 () (= @t112 tptp.nil)) % 5.63/5.84 (define @t120 () (= @t1 (tptp.s @t9))) % 5.63/5.84 (define @t121 () (= @t112 (tptp.cons @t113 @t7))) % 5.63/5.84 (define @t122 () (@list @t7 @t9)) % 5.63/5.84 (define @t123 () (= @t113 @t4)) % 5.63/5.84 (define @t124 () (= @t112 @t5)) % 5.63/5.84 (define @t125 () (not @t118)) % 5.63/5.84 (define @t126 () (not @t119)) % 5.63/5.84 (define @t127 () (not @t120)) % 5.63/5.84 (define @t128 () (not @t121)) % 5.63/5.84 (define @t129 () (not @t124)) % 5.63/5.84 (define @t130 () (tptp.gr @t4)) % 5.63/5.84 (define @t131 () (tptp.gr @t113)) % 5.63/5.84 (define @t132 () (= @t4 @t3)) % 5.63/5.84 (define @t133 () (@list @t1 @t4 @t3)) % 5.63/5.84 (define @t134 () (tptp.not_same_occ_succeeds @t113 @t112)) % 5.63/5.84 (define @t135 () (@list @t113 @t112)) % 5.63/5.84 (define @t136 () (tptp.occ_fails @t1 @t112 @t3)) % 5.63/5.84 (define @t137 () (tptp.occ_fails @t1 @t113 @t4)) % 5.63/5.84 (define @t138 () (tptp.member2_fails @t1 @t113 @t112)) % 5.63/5.84 (define @t139 () (tptp.not_same_occ_fails @t113 @t112)) % 5.63/5.84 (define @t140 () (tptp.not_same_occ_terminates @t113 @t112)) % 5.63/5.84 (define @t141 () (= @t113 tptp.nil)) % 5.63/5.84 (define @t142 () (tptp.cons @t1 @t4)) % 5.63/5.84 (define @t143 () (= @t112 @t142)) % 5.63/5.84 (define @t144 () (not @t141)) % 5.63/5.84 (define @t145 () (tptp.delete_fails @t1 @t113 @t3)) % 5.63/5.84 (define @t146 () (not @t143)) % 5.63/5.84 (define @t147 () (or @t144 true)) % 5.63/5.84 (define @t148 () (= @t112 (tptp.cons @t113 @t1))) % 5.63/5.84 (define @t149 () (tptp.delete_succeeds @t113 @t3 @t7)) % 5.63/5.84 (define @t150 () (tptp.cons @t4 @t7)) % 5.63/5.84 (define @t151 () (= @t1 @t150)) % 5.63/5.84 (define @t152 () (and @t124 @t151 @t149)) % 5.63/5.84 (define @t153 () (@list @t4 @t3 @t7)) % 5.63/5.84 (define @t154 () (exists @t153 @t152)) % 5.63/5.84 (define @t155 () (or @t154 @t148)) % 5.63/5.84 (define @t156 () (tptp.delete_succeeds @t113 @t112 @t1)) % 5.63/5.84 (define @t157 () (= @t156 @t155)) % 5.63/5.84 (define @t158 () (forall @t115 @t157)) % 5.63/5.84 (define @t159 () (not @t151)) % 5.63/5.84 (define @t160 () (= @t112 |tptp.'0'|)) % 5.63/5.84 (define @t161 () (tptp.s @t3)) % 5.63/5.84 (define @t162 () (= @t112 @t161)) % 5.63/5.84 (define @t163 () (= @t113 @t142)) % 5.63/5.84 (define @t164 () (not @t162)) % 5.63/5.84 (define @t165 () (not @t163)) % 5.63/5.84 (define @t166 () (= @t1 @t112)) % 5.63/5.84 (define @t167 () (= @t113 @t5)) % 5.63/5.84 (define @t168 () (not @t166)) % 5.63/5.84 (define @t169 () (not @t167)) % 5.63/5.84 (define @t170 () (= @t112 (tptp.cons @t113 @t3))) % 5.63/5.84 (define @t171 () (@list @t3)) % 5.63/5.84 (define @t172 () (@list @t1 @t4)) % 5.63/5.84 (define @t173 () (tptp.list_succeeds @t1)) % 5.63/5.84 (define @t174 () (tptp.cons @t112 @t1)) % 5.63/5.84 (define @t175 () (= @t113 @t174)) % 5.63/5.84 (define @t176 () (and @t175 @t173)) % 5.63/5.84 (define @t177 () (@list @t112 @t1)) % 5.63/5.84 (define @t178 () (exists @t177 @t176)) % 5.63/5.84 (define @t179 () (or @t178 @t141)) % 5.63/5.84 (define @t180 () (tptp.list_succeeds @t113)) % 5.63/5.84 (define @t181 () (= @t180 @t179)) % 5.63/5.84 (define @t182 () (@list @t113)) % 5.63/5.84 (define @t183 () (forall @t182 @t181)) % 5.63/5.84 (define @t184 () (not @t175)) % 5.63/5.84 (define @t185 () (tptp.nat_succeeds @t112)) % 5.63/5.84 (define @t186 () (tptp.nat_fails @t112)) % 5.63/5.84 (define @t187 () (tptp.nat_terminates @t112)) % 5.63/5.84 (define @t188 () (= @t113 |tptp.'0'|)) % 5.63/5.84 (define @t189 () (tptp.s @t4)) % 5.63/5.84 (define @t190 () (= @t113 @t189)) % 5.63/5.84 (define @t191 () (not @t188)) % 5.63/5.84 (define @t192 () (tptp.times_fails @t4 @t112 @t3)) % 5.63/5.84 (define @t193 () (not @t190)) % 5.63/5.84 (define @t194 () (or @t191 true)) % 5.63/5.84 (define @t195 () (= @t1 @t161)) % 5.63/5.84 (define @t196 () (not @t195)) % 5.63/5.84 (define @t197 () (= @t112 @t189)) % 5.63/5.84 (define @t198 () (= @t113 @t2)) % 5.63/5.84 (define @t199 () (not @t197)) % 5.63/5.84 (define @t200 () (not @t198)) % 5.63/5.84 (define @t201 () (= @t113 (tptp.s @t112))) % 5.63/5.84 (define @t202 () (@list @t112)) % 5.63/5.84 (define @t203 () (tptp.nat_succeeds @t113)) % 5.63/5.84 (define @t204 () (not @t201)) % 5.63/5.84 (define @t205 () (@var "Xx" $$unsorted)) % 5.63/5.84 (define @t206 () (tptp.nat_succeeds @t205)) % 5.63/5.84 (define @t207 () (@list @t205)) % 5.63/5.84 (define @t208 () (tptp.gr @t205)) % 5.63/5.84 (define @t209 () (@var "Xz" $$unsorted)) % 5.63/5.84 (define @t210 () (@var "Xy" $$unsorted)) % 5.63/5.84 (define @t211 () (tptp.plus_terminates @t205 @t210 @t209)) % 5.63/5.84 (define @t212 () (@list @t205 @t210 @t209)) % 5.63/5.84 (define @t213 () (tptp.nat_succeeds @t209)) % 5.63/5.84 (define @t214 () (tptp.plus_succeeds @t205 @t210 @t209)) % 5.63/5.84 (define @t215 () (tptp.nat_succeeds @t210)) % 5.63/5.84 (define @t216 () (tptp.gr @t209)) % 5.63/5.84 (define @t217 () (tptp.gr @t210)) % 5.63/5.84 (define @t218 () (@list @t209)) % 5.63/5.84 (define @t219 () (@list @t205 @t210)) % 5.63/5.84 (define @t220 () (@var "Xz2" $$unsorted)) % 5.63/5.84 (define @t221 () (@var "Xz1" $$unsorted)) % 5.63/5.84 (define @t222 () (= @t221 @t220)) % 5.63/5.84 (define @t223 () (@list @t205 @t210 @t221 @t220)) % 5.63/5.84 (define @t224 () (@list @t210)) % 5.63/5.84 (define @t225 () (|tptp.'@+'| @t205 @t210)) % 5.63/5.84 (define @t226 () (tptp.s @t205)) % 5.63/5.84 (define @t227 () (|tptp.'@+'| @t226 @t210)) % 5.63/5.84 (define @t228 () (and @t206 @t215)) % 5.63/5.84 (define @t229 () (|tptp.'@+'| @t210 @t209)) % 5.63/5.84 (define @t230 () (and @t206 @t215 @t213)) % 5.63/5.84 (define @t231 () (tptp.s @t210)) % 5.63/5.84 (define @t232 () (|tptp.'@+'| @t205 @t231)) % 5.63/5.84 (define @t233 () (|tptp.'@+'| @t210 @t205)) % 5.63/5.84 (define @t234 () (|tptp.'@+'| @t205 @t209)) % 5.63/5.84 (define @t235 () (tptp.times_succeeds @t205 @t210 @t209)) % 5.63/5.84 (define @t236 () (|tptp.'@*'| @t205 @t210)) % 5.63/5.84 (define @t237 () (|tptp.'@*'| @t226 @t210)) % 5.63/5.84 (define @t238 () (|tptp.'@*'| @t210 @t209)) % 5.63/5.84 (define @t239 () (|tptp.'@*'| @t205 @t209)) % 5.63/5.84 (define @t240 () (|tptp.'@*'| @t210 @t205)) % 5.63/5.84 (define @t241 () (tptp.s |tptp.'0'|)) % 5.63/5.84 (define @t242 () (|tptp.'@<_terminates'| @t205 @t210)) % 5.63/5.84 (define @t243 () (|tptp.'@<_succeeds'| @t205 @t210)) % 5.63/5.84 (define @t244 () (tptp.s @t209)) % 5.63/5.84 (define @t245 () (|tptp.'@<_succeeds'| @t205 @t209)) % 5.63/5.84 (define @t246 () (|tptp.'@<_succeeds'| @t205 @t231)) % 5.63/5.84 (define @t247 () (|tptp.'@<_succeeds'| @t210 @t209)) % 5.63/5.84 (define @t248 () (= @t205 @t210)) % 5.63/5.84 (define @t249 () (or @t243 @t248)) % 5.63/5.84 (define @t250 () (not (= @t205 |tptp.'0'|))) % 5.63/5.84 (define @t251 () (|tptp.'@=<_succeeds'| @t205 @t210)) % 5.63/5.84 (define @t252 () (|tptp.'@=<_succeeds'| @t210 @t205)) % 5.63/5.84 (define @t253 () (|tptp.'@=<_succeeds'| @t210 @t209)) % 5.63/5.84 (define @t254 () (|tptp.'@<_succeeds'| @t225 @t234)) % 5.63/5.84 (define @t255 () (|tptp.'@<_succeeds'| @t234 @t229)) % 5.63/5.84 (define @t256 () (|tptp.'@=<_succeeds'| @t225 @t234)) % 5.63/5.84 (define @t257 () (and @t251 @t215 @t213)) % 5.63/5.84 (define @t258 () (@var "Xy2" $$unsorted)) % 5.63/5.84 (define @t259 () (@var "Xy1" $$unsorted)) % 5.63/5.84 (define @t260 () (|tptp.'@+'| @t259 @t258)) % 5.63/5.84 (define @t261 () (|tptp.'@+'| @t113 @t112)) % 5.63/5.84 (define @t262 () (tptp.nat_succeeds @t259)) % 5.63/5.84 (define @t263 () (|tptp.'@=<_succeeds'| @t112 @t258)) % 5.63/5.84 (define @t264 () (|tptp.'@=<_succeeds'| @t113 @t259)) % 5.63/5.84 (define @t265 () (@list @t113 @t112 @t259 @t258)) % 5.63/5.84 (define @t266 () (|tptp.'@<_succeeds'| @t261 @t260)) % 5.63/5.84 (define @t267 () (|tptp.'@<_succeeds'| @t113 @t259)) % 5.63/5.84 (define @t268 () (|tptp.'@<_succeeds'| @t112 @t258)) % 5.63/5.84 (define @t269 () (@var "Xl" $$unsorted)) % 5.63/5.84 (define @t270 () (tptp.list_succeeds @t269)) % 5.63/5.84 (define @t271 () (tptp.cons @t205 @t269)) % 5.63/5.84 (define @t272 () (tptp.list_succeeds @t271)) % 5.63/5.84 (define @t273 () (@list @t205 @t269)) % 5.63/5.84 (define @t274 () (forall @t273 (=> @t272 @t270))) % 5.63/5.84 (define @t275 () (@list @t269)) % 5.63/5.84 (define @t276 () (tptp.member_succeeds @t205 @t269)) % 5.63/5.84 (define @t277 () (tptp.gr @t269)) % 5.63/5.84 (define @t278 () (not @t248)) % 5.63/5.84 (define @t279 () (tptp.cons @t210 @t269)) % 5.63/5.84 (define @t280 () (@var "Xl1" $$unsorted)) % 5.63/5.84 (define @t281 () (tptp.list_succeeds @t280)) % 5.63/5.84 (define @t282 () (@var "Xl3" $$unsorted)) % 5.63/5.84 (define @t283 () (@var "Xl2" $$unsorted)) % 5.63/5.84 (define @t284 () (tptp.append_succeeds @t280 @t283 @t282)) % 5.63/5.84 (define @t285 () (@list @t280 @t283 @t282)) % 5.63/5.84 (define @t286 () (tptp.list_succeeds @t282)) % 5.63/5.84 (define @t287 () (tptp.list_succeeds @t283)) % 5.63/5.84 (define @t288 () (and @t284 @t286)) % 5.63/5.84 (define @t289 () (and @t281 @t287)) % 5.63/5.84 (define @t290 () (tptp.append_terminates @t280 @t283 @t282)) % 5.63/5.84 (define @t291 () (tptp.gr @t282)) % 5.63/5.84 (define @t292 () (tptp.gr @t283)) % 5.63/5.84 (define @t293 () (tptp.gr @t280)) % 5.63/5.84 (define @t294 () (and @t293 @t292)) % 5.63/5.84 (define @t295 () (@list @t280 @t283)) % 5.63/5.84 (define @t296 () (@var "Xl4" $$unsorted)) % 5.63/5.84 (define @t297 () (@list @t280 @t283 @t282 @t296)) % 5.63/5.84 (define @t298 () (|tptp.'**'| @t280 @t283)) % 5.63/5.84 (define @t299 () (tptp.cons @t205 @t280)) % 5.63/5.84 (define @t300 () (@list @t205 @t280 @t283)) % 5.63/5.84 (define @t301 () (tptp.list_succeeds @t298)) % 5.63/5.84 (define @t302 () (tptp.gr @t298)) % 5.63/5.84 (define @t303 () (|tptp.'**'| @t283 @t282)) % 5.63/5.84 (define @t304 () (@var "Xn" $$unsorted)) % 5.63/5.84 (define @t305 () (tptp.nat_succeeds @t304)) % 5.63/5.84 (define @t306 () (and @t270 @t305)) % 5.63/5.84 (define @t307 () (tptp.length_succeeds @t269 @t304)) % 5.63/5.84 (define @t308 () (@list @t269 @t304)) % 5.63/5.84 (define @t309 () (tptp.gr @t304)) % 5.63/5.84 (define @t310 () (@list @t304)) % 5.63/5.84 (define @t311 () (@var "Xm" $$unsorted)) % 5.63/5.84 (define @t312 () (= @t311 @t304)) % 5.63/5.84 (define @t313 () (tptp.lh @t269)) % 5.63/5.84 (define @t314 () (tptp.lh @t271)) % 5.63/5.84 (define @t315 () (tptp.cons @t205 @t283)) % 5.63/5.84 (define @t316 () (@list @t205 @t283)) % 5.63/5.84 (define @t317 () (tptp.s @t304)) % 5.63/5.84 (define @t318 () (tptp.lh @t280)) % 5.63/5.84 (define @t319 () (tptp.lh @t283)) % 5.63/5.84 (define @t320 () (|tptp.'@+'| @t318 @t319)) % 5.63/5.84 (define @t321 () (tptp.lh @t298)) % 5.63/5.84 (define @t322 () (tptp.lh @t282)) % 5.63/5.84 (define @t323 () (@var "Xi" $$unsorted)) % 5.63/5.84 (define @t324 () (tptp.cons @t205 @t323)) % 5.63/5.84 (define @t325 () (@var "Xk" $$unsorted)) % 5.63/5.84 (define @t326 () (@var "Xj" $$unsorted)) % 5.63/5.84 (define @t327 () (tptp.sub @t323 @t326)) % 5.63/5.84 (define @t328 () (@list @t205 @t323 @t326)) % 5.63/5.84 (define @t329 () (tptp.append_succeeds @t280 @t315 @t282)) % 5.63/5.84 (define @t330 () (tptp.member_succeeds @t205 @t282)) % 5.63/5.84 (define @t331 () (tptp.member_succeeds @t205 @t280)) % 5.63/5.84 (define @t332 () (@list @t205 @t280 @t283 @t282)) % 5.63/5.84 (define @t333 () (tptp.member_succeeds @t205 @t283)) % 5.63/5.84 (define @t334 () (tptp.member_succeeds @t205 @t298)) % 5.63/5.84 (define @t335 () (or @t331 @t333)) % 5.63/5.84 (define @t336 () (= @t280 tptp.nil)) % 5.63/5.84 (define @t337 () (tptp.nat_list_succeeds @t269)) % 5.63/5.84 (define @t338 () (|tptp.'@<_succeeds'| @t320 @t304)) % 5.63/5.84 (define @t339 () (tptp.delete_terminates @t205 @t280 @t283)) % 5.63/5.84 (define @t340 () (tptp.delete_succeeds @t205 @t280 @t283)) % 5.63/5.84 (define @t341 () (and @t340 @t281)) % 5.63/5.84 (define @t342 () (forall @t300 (=> @t341 @t287))) % 5.63/5.84 (define @t343 () (|tptp.'**'| @t282 @t296)) % 5.63/5.84 (define @t344 () (= @t283 @t343)) % 5.63/5.84 (define @t345 () (= @t280 (|tptp.'**'| @t282 (tptp.cons @t205 @t296)))) % 5.63/5.84 (define @t346 () (and @t286 @t345 @t344)) % 5.63/5.84 (define @t347 () (@list @t282 @t296)) % 5.63/5.84 (define @t348 () (exists @t347 @t346)) % 5.63/5.84 (define @t349 () (=> @t340 @t348)) % 5.63/5.84 (define @t350 () (forall @t300 @t349)) % 5.63/5.84 (define @t351 () (tptp.member_succeeds @t210 @t283)) % 5.63/5.84 (define @t352 () (tptp.member_succeeds @t210 @t280)) % 5.63/5.84 (define @t353 () (@list @t205 @t210 @t280 @t283)) % 5.63/5.84 (define @t354 () (tptp.occ_succeeds @t205 @t269 @t311)) % 5.63/5.84 (define @t355 () (tptp.occ @t205 @t269)) % 5.63/5.84 (define @t356 () (tptp.permutation_terminates @t280 @t283)) % 5.63/5.84 (define @t357 () (@list @t205 @t269 @t304)) % 5.63/5.84 (define @t358 () (tptp.occ_succeeds @t205 @t269 @t304)) % 5.63/5.84 (define @t359 () (and @t281 @t287 @t293 @t292)) % 5.63/5.84 (define @t360 () (tptp.occ @t205 tptp.nil)) % 5.63/5.84 (define @t361 () (forall @t207 (= @t360 |tptp.'0'|))) % 5.63/5.84 (define @t362 () (tptp.occ @t205 @t279)) % 5.63/5.84 (define @t363 () (and @t270 @t278)) % 5.63/5.84 (define @t364 () (=> @t363 (= @t362 @t355))) % 5.63/5.84 (define @t365 () (@list @t205 @t210 @t269)) % 5.63/5.84 (define @t366 () (forall @t365 @t364)) % 5.63/5.84 (define @t367 () (= (tptp.occ @t205 @t271) (tptp.s @t355))) % 5.63/5.84 (define @t368 () (forall @t273 (=> @t270 @t367))) % 5.63/5.84 (define @t369 () (tptp.occ @t205 @t283)) % 5.63/5.84 (define @t370 () (tptp.occ @t205 @t280)) % 5.63/5.84 (define @t371 () (tptp.s @t369)) % 5.63/5.84 (define @t372 () (= @t370 @t371)) % 5.63/5.84 (define @t373 () (forall @t316 (=> @t340 @t372))) % 5.63/5.84 (define @t374 () (=> @t281 @t373)) % 5.63/5.84 (define @t375 () (@list @t280)) % 5.63/5.84 (define @t376 () (forall @t375 @t374)) % 5.63/5.84 (define @t377 () (= (tptp.occ @t205 @t1) @t371)) % 5.63/5.84 (define @t378 () (tptp.delete_succeeds @t205 @t1 @t283)) % 5.63/5.84 (define @t379 () (forall @t316 (=> @t378 @t377))) % 5.63/5.84 (define @t380 () (and (= @t280 @t174) @t173 @t379)) % 5.63/5.84 (define @t381 () (exists @t177 @t380)) % 5.63/5.84 (define @t382 () (or @t381 @t336)) % 5.63/5.84 (define @t383 () (=> @t382 @t373)) % 5.63/5.84 (define @t384 () (forall @t375 @t383)) % 5.63/5.84 (define @t385 () (=> @t384 @t376)) % 5.63/5.84 (define @t386 () (and @t281 @t340)) % 5.63/5.84 (define @t387 () (forall @t300 (=> @t386 @t372))) % 5.63/5.84 (define @t388 () (not @t387)) % 5.63/5.84 (define @t389 () (not @t340)) % 5.63/5.84 (define @t390 () (not @t281)) % 5.63/5.84 (define @t391 () (or @t390 @t389 @t372)) % 5.63/5.84 (define @t392 () (forall @t300 @t391)) % 5.63/5.84 (define @t393 () (@var "BOUND_VARIABLE_13231" $$unsorted)) % 5.63/5.84 (define @t394 () (@var "BOUND_VARIABLE_13230" $$unsorted)) % 5.63/5.84 (define @t395 () (@var "BOUND_VARIABLE_13232" $$unsorted)) % 5.63/5.84 (define @t396 () (@list @t394 @t393 @t395)) % 5.63/5.84 (define @t397 () (@var "BOUND_VARIABLE_10735" $$unsorted)) % 5.63/5.84 (define @t398 () (@var "BOUND_VARIABLE_10733" $$unsorted)) % 5.63/5.84 (define @t399 () (= (tptp.occ @t398 @t280) (tptp.s (tptp.occ @t398 @t397)))) % 5.63/5.84 (define @t400 () (not (tptp.delete_succeeds @t398 @t280 @t397))) % 5.63/5.84 (define @t401 () (or @t390 @t400 @t399)) % 5.63/5.84 (define @t402 () (@list @t280 @t398 @t397)) % 5.63/5.84 (define @t403 () (forall @t402 @t401)) % 5.63/5.84 (define @t404 () (not @t403)) % 5.63/5.84 (define @t405 () (@list true)) % 5.63/5.84 (define @t406 () (or @t400 @t399)) % 5.63/5.84 (define @t407 () (or @t390 @t406)) % 5.63/5.84 (define @t408 () (forall @t402 @t407)) % 5.63/5.84 (define @t409 () (@list @t398 @t397)) % 5.63/5.84 (define @t410 () (forall @t409 @t407)) % 5.63/5.84 (define @t411 () (forall @t409 @t406)) % 5.63/5.84 (define @t412 () (@list @t205 @t283)) % 5.63/5.84 (define @t413 () (or @t390 @t411)) % 5.63/5.84 (define @t414 () (forall @t316 (or @t389 @t372))) % 5.63/5.84 (define @t415 () (@var "BOUND_VARIABLE_10706" $$unsorted)) % 5.63/5.84 (define @t416 () (@var "BOUND_VARIABLE_10704" $$unsorted)) % 5.63/5.84 (define @t417 () (= (tptp.occ @t416 @t280) (tptp.s (tptp.occ @t416 @t415)))) % 5.63/5.84 (define @t418 () (not (tptp.delete_succeeds @t416 @t280 @t415))) % 5.63/5.84 (define @t419 () (= tptp.nil @t280)) % 5.63/5.84 (define @t420 () (not @t419)) % 5.63/5.84 (define @t421 () (@var "BOUND_VARIABLE_10688" $$unsorted)) % 5.63/5.84 (define @t422 () (tptp.occ @t205 @t421)) % 5.63/5.84 (define @t423 () (not (tptp.delete_succeeds @t205 @t421 @t283))) % 5.63/5.84 (define @t424 () (or @t423 (= @t422 @t371))) % 5.63/5.84 (define @t425 () (forall @t316 @t424)) % 5.63/5.84 (define @t426 () (not @t425)) % 5.63/5.84 (define @t427 () (not (tptp.list_succeeds @t421))) % 5.63/5.84 (define @t428 () (@var "BOUND_VARIABLE_10686" $$unsorted)) % 5.63/5.84 (define @t429 () (tptp.cons @t428 @t421)) % 5.63/5.84 (define @t430 () (not (= @t429 @t280))) % 5.63/5.84 (define @t431 () (or @t430 @t427 @t426)) % 5.63/5.84 (define @t432 () (and @t431 @t420)) % 5.63/5.84 (define @t433 () (or @t432 @t418 @t417)) % 5.63/5.84 (define @t434 () (or @t418 @t417)) % 5.63/5.84 (define @t435 () (or @t432 @t434)) % 5.63/5.84 (define @t436 () (@list @t280 @t428 @t421 @t416 @t415)) % 5.63/5.84 (define @t437 () (forall @t436 @t435)) % 5.63/5.84 (define @t438 () (forall (@list @t428 @t421 @t416 @t415) @t435)) % 5.63/5.84 (define @t439 () (forall (@list @t416 @t415) @t434)) % 5.63/5.84 (define @t440 () (@list @t428 @t421)) % 5.63/5.84 (define @t441 () (forall @t440 @t420)) % 5.63/5.84 (define @t442 () (forall @t440 @t431)) % 5.63/5.84 (define @t443 () (and @t442 @t441)) % 5.63/5.84 (define @t444 () (forall @t440 @t432)) % 5.63/5.84 (define @t445 () (or @t444 @t439)) % 5.63/5.84 (define @t446 () (forall @t316 (or (not @t378) @t377))) % 5.63/5.84 (define @t447 () (not @t446)) % 5.63/5.84 (define @t448 () (not @t173)) % 5.63/5.84 (define @t449 () (= @t174 @t280)) % 5.63/5.84 (define @t450 () (not @t449)) % 5.63/5.84 (define @t451 () (or @t450 @t448 @t447)) % 5.63/5.84 (define @t452 () (forall @t177 @t451)) % 5.63/5.84 (define @t453 () (not @t452)) % 5.63/5.84 (define @t454 () (or @t453 @t419)) % 5.63/5.84 (define @t455 () (and @t449 @t173 @t446)) % 5.63/5.84 (define @t456 () (forall @t177 (not @t455))) % 5.63/5.84 (define @t457 () (not @t456)) % 5.63/5.84 (define @t458 () (forall @t436 (or (and (or (not (= @t280 @t429)) @t427 (not (forall @t316 (or @t423 (= @t371 @t422))))) @t420) @t418 @t417))) % 5.63/5.84 (define @t459 () (not @t458)) % 5.63/5.84 (define @t460 () (@quantifiers_skolemize @t458 4)) % 5.63/5.84 (define @t461 () (@quantifiers_skolemize @t458 3)) % 5.63/5.84 (define @t462 () (tptp.occ @t461 @t460)) % 5.63/5.84 (define @t463 () (tptp.s @t462)) % 5.63/5.84 (define @t464 () (@quantifiers_skolemize @t458 0)) % 5.63/5.84 (define @t465 () (tptp.occ @t461 @t464)) % 5.63/5.84 (define @t466 () (= @t465 @t463)) % 5.63/5.84 (define @t467 () (tptp.delete_succeeds @t461 @t464 @t460)) % 5.63/5.84 (define @t468 () (not @t467)) % 5.63/5.84 (define @t469 () (= tptp.nil @t464)) % 5.63/5.84 (define @t470 () (not @t469)) % 5.63/5.84 (define @t471 () (@quantifiers_skolemize @t458 2)) % 5.63/5.84 (define @t472 () (forall @t316 (or (not (tptp.delete_succeeds @t205 @t471 @t283)) (= @t371 (tptp.occ @t205 @t471))))) % 5.63/5.84 (define @t473 () (not @t472)) % 5.63/5.84 (define @t474 () (tptp.list_succeeds @t471)) % 5.63/5.84 (define @t475 () (not @t474)) % 5.63/5.84 (define @t476 () (@quantifiers_skolemize @t458 1)) % 5.63/5.84 (define @t477 () (tptp.cons @t476 @t471)) % 5.63/5.84 (define @t478 () (= @t464 @t477)) % 5.63/5.84 (define @t479 () (not @t478)) % 5.63/5.84 (define @t480 () (or @t479 @t475 @t473)) % 5.63/5.84 (define @t481 () (and @t480 @t470)) % 5.63/5.84 (define @t482 () (or @t481 @t468 @t466)) % 5.63/5.84 (define @t483 () (@list @t482)) % 5.63/5.84 (define @t484 () (not @t149)) % 5.63/5.84 (define @t485 () (= @t5 @t112)) % 5.63/5.84 (define @t486 () (not @t485)) % 5.63/5.84 (define @t487 () (or @t486 @t159 @t484)) % 5.63/5.84 (define @t488 () (and @t485 @t151 @t149)) % 5.63/5.84 (define @t489 () (forall @t153 (not @t488))) % 5.63/5.84 (define @t490 () (not @t489)) % 5.63/5.84 (define @t491 () (tptp.cons @t461 @t460)) % 5.63/5.84 (define @t492 () (= @t464 @t491)) % 5.63/5.84 (define @t493 () (not (tptp.delete_succeeds @t461 @t3 @t7))) % 5.63/5.84 (define @t494 () (not (= @t460 @t150))) % 5.63/5.84 (define @t495 () (not (= @t5 @t464))) % 5.63/5.84 (define @t496 () (or @t495 @t494 @t493)) % 5.63/5.84 (define @t497 () (forall @t153 @t496)) % 5.63/5.84 (define @t498 () (not @t497)) % 5.63/5.84 (define @t499 () (or @t498 @t492)) % 5.63/5.84 (define @t500 () (= @t467 @t499)) % 5.63/5.84 (define @t501 () (forall @t115 (= @t156 (or (not (forall @t153 @t487)) @t148)))) % 5.63/5.84 (define @t502 () (@list @t461 @t464 @t460)) % 5.63/5.84 (define @t503 () (forall @t153 (or @t495 (not (= @t150 @t460)) @t493))) % 5.63/5.84 (define @t504 () (not @t503)) % 5.63/5.84 (define @t505 () (or @t504 @t492)) % 5.63/5.84 (define @t506 () (= @t467 @t505)) % 5.63/5.84 (define @t507 () (@list false)) % 5.63/5.84 (define @t508 () (@list false false)) % 5.63/5.84 (define @t509 () (tptp.occ @t461 @t491)) % 5.63/5.84 (define @t510 () (tptp.list_succeeds @t460)) % 5.63/5.84 (define @t511 () (not @t510)) % 5.63/5.84 (define @t512 () (or @t511 (= @t509 @t463))) % 5.63/5.84 (define @t513 () (not @t270)) % 5.63/5.84 (define @t514 () (forall @t273 (or @t513 @t367))) % 5.63/5.84 (define @t515 () (= @t463 @t509)) % 5.63/5.84 (define @t516 () (or @t511 @t515)) % 5.63/5.84 (define @t517 () (forall @t177 (not @t176))) % 5.63/5.84 (define @t518 () (not @t517)) % 5.63/5.84 (define @t519 () (not (= @t464 @t174))) % 5.63/5.84 (define @t520 () (or @t519 @t448)) % 5.63/5.84 (define @t521 () (forall @t177 @t520)) % 5.63/5.84 (define @t522 () (not @t521)) % 5.63/5.84 (define @t523 () (or @t522 @t469)) % 5.63/5.84 (define @t524 () (tptp.list_succeeds @t464)) % 5.63/5.84 (define @t525 () (= @t524 @t523)) % 5.63/5.84 (define @t526 () (forall @t182 (= @t180 (or (not (forall @t177 (or @t184 @t448))) (= tptp.nil @t113))))) % 5.63/5.84 (define @t527 () (forall @t177 (or (not (= @t174 @t464)) @t448))) % 5.63/5.84 (define @t528 () (not @t527)) % 5.63/5.84 (define @t529 () (or @t528 @t469)) % 5.63/5.84 (define @t530 () (= @t524 @t529)) % 5.63/5.84 (define @t531 () (@list @t526)) % 5.63/5.84 (define @t532 () (not @t524)) % 5.63/5.84 (define @t533 () (or @t468 @t532 @t510)) % 5.63/5.84 (define @t534 () (@quantifiers_skolemize @t503 1)) % 5.63/5.84 (define @t535 () (@quantifiers_skolemize @t503 0)) % 5.63/5.84 (define @t536 () (@list @t535 @t534)) % 5.63/5.84 (define @t537 () (tptp.cons @t535 @t534)) % 5.63/5.84 (define @t538 () (= @t464 @t537)) % 5.63/5.84 (define @t539 () (not @t538)) % 5.63/5.84 (define @t540 () (= tptp.nil @t537)) % 5.63/5.84 (define @t541 () (not @t540)) % 5.63/5.84 (define @t542 () (and @t469 @t541)) % 5.63/5.84 (define @t543 () (@quantifiers_skolemize @t503 2)) % 5.63/5.84 (define @t544 () (tptp.delete_succeeds @t461 @t534 @t543)) % 5.63/5.84 (define @t545 () (not @t544)) % 5.63/5.84 (define @t546 () (tptp.cons @t535 @t543)) % 5.63/5.84 (define @t547 () (= @t460 @t546)) % 5.63/5.84 (define @t548 () (not @t547)) % 5.63/5.84 (define @t549 () (or @t539 @t548 @t545)) % 5.63/5.84 (define @t550 () (not @t549)) % 5.63/5.84 (define @t551 () (not (= @t546 @t460))) % 5.63/5.84 (define @t552 () (not (= @t537 @t464))) % 5.63/5.84 (define @t553 () (or @t552 @t551 @t545)) % 5.63/5.84 (define @t554 () (not @t553)) % 5.63/5.84 (define @t555 () (tptp.occ @t461 tptp.nil)) % 5.63/5.84 (define @t556 () (= |tptp.'0'| @t555)) % 5.63/5.84 (define @t557 () (= |tptp.'0'| @t463)) % 5.63/5.84 (define @t558 () (and @t469 @t492 @t556 @t515)) % 5.63/5.84 (define @t559 () (not @t515)) % 5.63/5.84 (define @t560 () (not @t492)) % 5.63/5.84 (define @t561 () (not @t480)) % 5.63/5.84 (define @t562 () (@list @t480)) % 5.63/5.84 (define @t563 () (or @t479 @t475)) % 5.63/5.84 (define @t564 () (not @t563)) % 5.63/5.84 (define @t565 () (not (= @t477 @t464))) % 5.63/5.84 (define @t566 () (or @t565 @t475)) % 5.63/5.84 (define @t567 () (@list @t476 @t471)) % 5.63/5.84 (define @t568 () (@list false false false)) % 5.63/5.84 (define @t569 () (and @t492 @t515)) % 5.63/5.84 (define @t570 () (@list @t549)) % 5.63/5.84 (define @t571 () (not @t344)) % 5.63/5.84 (define @t572 () (not @t345)) % 5.63/5.84 (define @t573 () (not @t286)) % 5.63/5.84 (define @t574 () (or @t573 @t572 @t571)) % 5.63/5.84 (define @t575 () (not (forall @t347 @t574))) % 5.63/5.84 (define @t576 () (forall @t347 (not @t346))) % 5.63/5.84 (define @t577 () (not @t576)) % 5.63/5.84 (define @t578 () (not (= @t543 @t343))) % 5.63/5.84 (define @t579 () (|tptp.'**'| @t282 (tptp.cons @t461 @t296))) % 5.63/5.84 (define @t580 () (not (= @t534 @t579))) % 5.63/5.84 (define @t581 () (or @t573 @t580 @t578)) % 5.63/5.84 (define @t582 () (forall @t347 @t581)) % 5.63/5.84 (define @t583 () (not @t582)) % 5.63/5.84 (define @t584 () (or @t545 @t583)) % 5.63/5.84 (define @t585 () (forall @t300 (or @t389 @t575))) % 5.63/5.84 (define @t586 () (@list @t461 @t534 @t543)) % 5.63/5.84 (define @t587 () (forall @t347 (or @t573 (not (= @t579 @t534)) (not (= @t343 @t543))))) % 5.63/5.84 (define @t588 () (not @t587)) % 5.63/5.84 (define @t589 () (or @t545 @t588)) % 5.63/5.84 (define @t590 () (@quantifiers_skolemize @t587 1)) % 5.63/5.84 (define @t591 () (@quantifiers_skolemize @t587 0)) % 5.63/5.84 (define @t592 () (|tptp.'**'| @t591 @t590)) % 5.63/5.84 (define @t593 () (= @t543 @t592)) % 5.63/5.84 (define @t594 () (not @t593)) % 5.63/5.84 (define @t595 () (|tptp.'**'| @t591 (tptp.cons @t461 @t590))) % 5.63/5.84 (define @t596 () (= @t534 @t595)) % 5.63/5.84 (define @t597 () (not @t596)) % 5.63/5.84 (define @t598 () (not (tptp.list_succeeds @t591))) % 5.63/5.84 (define @t599 () (or @t598 @t597 @t594)) % 5.63/5.84 (define @t600 () (not @t599)) % 5.63/5.84 (define @t601 () (not (= @t592 @t543))) % 5.63/5.84 (define @t602 () (not (= @t595 @t534))) % 5.63/5.84 (define @t603 () (or @t598 @t602 @t601)) % 5.63/5.84 (define @t604 () (not @t603)) % 5.63/5.84 (define @t605 () (@list @t599)) % 5.63/5.84 (define @t606 () (@list @t461 @t543)) % 5.63/5.84 (define @t607 () (= tptp.nil @t477)) % 5.63/5.84 (define @t608 () (not (= @t477 @t174))) % 5.63/5.84 (define @t609 () (or @t608 @t448)) % 5.63/5.84 (define @t610 () (forall @t177 @t609)) % 5.63/5.84 (define @t611 () (not @t610)) % 5.63/5.84 (define @t612 () (or @t611 @t607)) % 5.63/5.84 (define @t613 () (tptp.list_succeeds @t477)) % 5.63/5.84 (define @t614 () (= @t613 @t612)) % 5.63/5.84 (define @t615 () (forall @t177 (or (not (= @t174 @t477)) @t448))) % 5.63/5.84 (define @t616 () (not @t615)) % 5.63/5.84 (define @t617 () (or @t616 @t607)) % 5.63/5.84 (define @t618 () (= @t613 @t617)) % 5.63/5.84 (define @t619 () (not (= @t477 @t477))) % 5.63/5.84 (define @t620 () (or @t619 @t475)) % 5.63/5.84 (define @t621 () (tptp.list_succeeds @t537)) % 5.63/5.84 (define @t622 () (and @t478 @t613 @t538)) % 5.63/5.84 (define @t623 () (tptp.list_succeeds @t534)) % 5.63/5.84 (define @t624 () (not @t621)) % 5.63/5.84 (define @t625 () (or @t624 @t623)) % 5.63/5.84 (define @t626 () (tptp.list_succeeds @t543)) % 5.63/5.84 (define @t627 () (not @t623)) % 5.63/5.84 (define @t628 () (or @t545 @t627 @t626)) % 5.63/5.84 (define @t629 () (tptp.occ @t461 @t543)) % 5.63/5.84 (define @t630 () (tptp.s @t629)) % 5.63/5.84 (define @t631 () (tptp.cons @t461 @t543)) % 5.63/5.84 (define @t632 () (tptp.occ @t461 @t631)) % 5.63/5.84 (define @t633 () (= @t632 @t630)) % 5.63/5.84 (define @t634 () (not @t626)) % 5.63/5.84 (define @t635 () (or @t634 @t633)) % 5.63/5.84 (define @t636 () (tptp.occ @t461 @t534)) % 5.63/5.84 (define @t637 () (tptp.s @t636)) % 5.63/5.84 (define @t638 () (= (tptp.occ @t461 (tptp.cons @t461 @t534)) @t637)) % 5.63/5.84 (define @t639 () (or @t627 @t638)) % 5.63/5.84 (define @t640 () (= @t477 @t537)) % 5.63/5.84 (define @t641 () (and @t478 @t538)) % 5.63/5.84 (define @t642 () (= @t471 @t534)) % 5.63/5.84 (define @t643 () (not @t640)) % 5.63/5.84 (define @t644 () (or @t643 @t642)) % 5.63/5.84 (define @t645 () (tptp.occ @t461 @t471)) % 5.63/5.84 (define @t646 () (tptp.delete_succeeds @t461 @t471 @t543)) % 5.63/5.84 (define @t647 () (not @t646)) % 5.63/5.84 (define @t648 () (or @t647 (= @t630 @t645))) % 5.63/5.84 (define @t649 () (= @t645 @t630)) % 5.63/5.84 (define @t650 () (or @t647 @t649)) % 5.63/5.84 (define @t651 () (and @t544 @t596 @t593 @t642)) % 5.63/5.84 (define @t652 () (not @t642)) % 5.63/5.84 (define @t653 () (= @t355 @t362)) % 5.63/5.84 (define @t654 () (tptp.occ @t461 @t546)) % 5.63/5.84 (define @t655 () (= @t629 @t654)) % 5.63/5.84 (define @t656 () (= @t461 @t535)) % 5.63/5.84 (define @t657 () (or @t634 @t656 @t655)) % 5.63/5.84 (define @t658 () (= @t636 (tptp.occ @t461 @t537))) % 5.63/5.84 (define @t659 () (or @t627 @t656 @t658)) % 5.63/5.84 (define @t660 () (and @t538 @t547 @t655 @t658 @t642 @t649)) % 5.63/5.84 (define @t661 () (not @t649)) % 5.63/5.84 (define @t662 () (and @t538 @t547 @t656 @t596 @t642 @t633 @t638 @t649)) % 5.63/5.84 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 5.63/5.84 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 5.63/5.84 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 5.63/5.84 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 5.63/5.84 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 5.63/5.84 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 5.63/5.84 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 5.63/5.84 (assume @p8 @t21) % 5.63/5.84 (assume @p9 (forall (@list @t23 @t25 @t22 @t24) (=> (= (tptp.cons @t23 @t25) (tptp.cons @t22 @t24)) (= @t23 @t22)))) % 5.63/5.84 (assume @p10 (tptp.gr |tptp.'0'|)) % 5.63/5.84 (assume @p11 (tptp.gr tptp.nil)) % 5.63/5.84 (assume @p12 (forall (@list @t26) (= (tptp.gr @t26) (tptp.gr (tptp.s @t26))))) % 5.63/5.84 (assume @p13 (forall (@list @t28 @t27) (= (and (tptp.gr @t28) (tptp.gr @t27)) (tptp.gr (tptp.cons @t28 @t27))))) % 5.63/5.84 (assume @p14 (forall @t34 (not (and @t33 @t32)))) % 5.63/5.84 (assume @p15 (forall @t34 (=> (tptp.member2_terminates @t31 @t30 @t29) (or @t33 @t32)))) % 5.63/5.84 (assume @p16 (forall @t40 (not (and @t39 @t38)))) % 5.63/5.84 (assume @p17 (forall @t40 (=> (tptp.occ_terminates @t37 @t36 @t35) (or @t39 @t38)))) % 5.63/5.84 (assume @p18 (forall @t45 (not (and @t44 @t43)))) % 5.63/5.84 (assume @p19 (forall @t45 (=> (tptp.not_same_occ_terminates @t42 @t41) (or @t44 @t43)))) % 5.63/5.84 (assume @p20 (forall @t50 (not (and @t49 @t48)))) % 5.63/5.84 (assume @p21 (forall @t50 (=> (tptp.same_occ_terminates @t47 @t46) (or @t49 @t48)))) % 5.63/5.84 (assume @p22 (forall @t55 (not (and @t54 @t53)))) % 5.63/5.84 (assume @p23 (forall @t55 (=> (tptp.permutation_terminates @t52 @t51) (or @t54 @t53)))) % 5.63/5.84 (assume @p24 (forall @t61 (not (and @t60 @t59)))) % 5.63/5.84 (assume @p25 (forall @t61 (=> (tptp.delete_terminates @t58 @t57 @t56) (or @t60 @t59)))) % 5.63/5.84 (assume @p26 (forall @t66 (not (and @t65 @t64)))) % 5.63/5.84 (assume @p27 (forall @t66 (=> (tptp.length_terminates @t63 @t62) (or @t65 @t64)))) % 5.63/5.84 (assume @p28 (forall @t72 (not (and @t71 @t70)))) % 5.63/5.84 (assume @p29 (forall @t72 (=> (tptp.append_terminates @t69 @t68 @t67) (or @t71 @t70)))) % 5.63/5.84 (assume @p30 (forall @t77 (not (and @t76 @t75)))) % 5.63/5.84 (assume @p31 (forall @t77 (=> (tptp.member_terminates @t74 @t73) (or @t76 @t75)))) % 5.63/5.84 (assume @p32 (forall @t81 (not (and @t80 @t79)))) % 5.63/5.84 (assume @p33 (forall @t81 (=> (tptp.list_terminates @t78) (or @t80 @t79)))) % 5.63/5.84 (assume @p34 (forall @t85 (not (and @t84 @t83)))) % 5.63/5.84 (assume @p35 (forall @t85 (=> (tptp.nat_list_terminates @t82) (or @t84 @t83)))) % 5.63/5.84 (assume @p36 (forall @t91 (not (and @t90 @t89)))) % 5.63/5.84 (assume @p37 (forall @t91 (=> (tptp.times_terminates @t88 @t87 @t86) (or @t90 @t89)))) % 5.63/5.84 (assume @p38 (forall @t97 (not (and @t96 @t95)))) % 5.63/5.84 (assume @p39 (forall @t97 (=> (tptp.plus_terminates @t94 @t93 @t92) (or @t96 @t95)))) % 5.63/5.84 (assume @p40 (forall @t102 (not (and @t101 @t100)))) % 5.63/5.84 (assume @p41 (forall @t102 (=> (|tptp.'@=<_terminates'| @t99 @t98) (or @t101 @t100)))) % 5.63/5.84 (assume @p42 (forall @t107 (not (and @t106 @t105)))) % 5.63/5.84 (assume @p43 (forall @t107 (=> (|tptp.'@<_terminates'| @t104 @t103) (or @t106 @t105)))) % 5.63/5.84 (assume @p44 (forall @t111 (not (and @t110 @t109)))) % 5.63/5.84 (assume @p45 (forall @t111 (=> (tptp.nat_terminates @t108) (or @t110 @t109)))) % 5.63/5.84 (assume @p46 (forall @t115 (= (tptp.member2_succeeds @t113 @t112 @t1) (or (tptp.member_succeeds @t113 @t1) @t114)))) % 5.63/5.84 (assume @p47 (forall @t115 (= (tptp.member2_fails @t113 @t112 @t1) (and (tptp.member_fails @t113 @t1) @t116)))) % 5.63/5.84 (assume @p48 (forall @t115 (= (tptp.member2_terminates @t113 @t112 @t1) (and (tptp.member_terminates @t113 @t1) @t117)))) % 5.63/5.84 (assume @p49 (forall @t115 (= (tptp.occ_succeeds @t113 @t112 @t1) (or (exists @t6 (and @t124 (not @t123) (tptp.occ_succeeds @t113 @t3 @t1))) (exists @t122 (and @t121 @t120 (tptp.occ_succeeds @t113 @t7 @t9))) (and @t119 @t118))))) % 5.63/5.84 (assume @p50 (forall @t115 (= (tptp.occ_fails @t113 @t112 @t1) (and (forall @t6 (or @t129 @t123 (tptp.occ_fails @t113 @t3 @t1))) (forall @t122 (or @t128 @t127 (tptp.occ_fails @t113 @t7 @t9))) (or @t126 @t125))))) % 5.63/5.84 (assume @p51 (forall @t115 (= (tptp.occ_terminates @t113 @t112 @t1) (and (forall @t6 (and true (or @t129 (and true @t131 @t130 (or @t123 (tptp.occ_terminates @t113 @t3 @t1)))))) (forall @t122 (and true (or @t128 (and true (or @t127 (tptp.occ_terminates @t113 @t7 @t9)))))) true (or @t126 true))))) % 5.63/5.84 (assume @p52 (forall @t135 (= @t134 (exists @t133 (and (tptp.member2_succeeds @t1 @t113 @t112) (tptp.occ_succeeds @t1 @t113 @t4) (tptp.occ_succeeds @t1 @t112 @t3) (not @t132)))))) % 5.63/5.84 (assume @p53 (forall @t135 (= @t139 (forall @t133 (or @t138 @t137 @t136 @t132))))) % 5.63/5.84 (assume @p54 (forall @t135 (= @t140 (forall @t133 (and (tptp.member2_terminates @t1 @t113 @t112) (or @t138 (and (tptp.occ_terminates @t1 @t113 @t4) (or @t137 (and (tptp.occ_terminates @t1 @t112 @t3) (or @t136 (and true @t130 (tptp.gr @t3)))))))))))) % 5.63/5.84 (assume @p55 (forall @t135 (= (tptp.same_occ_succeeds @t113 @t112) @t139))) % 5.63/5.84 (assume @p56 (forall @t135 (= (tptp.same_occ_fails @t113 @t112) @t134))) % 5.63/5.84 (assume @p57 (forall @t135 (= (tptp.same_occ_terminates @t113 @t112) (and @t140 @t131 (tptp.gr @t112))))) % 5.63/5.84 (assume @p58 (forall @t135 (= (tptp.permutation_succeeds @t113 @t112) (or (exists @t133 (and @t143 (tptp.delete_succeeds @t1 @t113 @t3) (tptp.permutation_succeeds @t3 @t4))) (and @t141 @t119))))) % 5.63/5.84 (assume @p59 (forall @t135 (= (tptp.permutation_fails @t113 @t112) (and (forall @t133 (or @t146 @t145 (tptp.permutation_fails @t3 @t4))) (or @t144 @t126))))) % 5.63/5.84 (assume @p60 (forall @t135 (= (tptp.permutation_terminates @t113 @t112) (and (forall @t133 (and true (or @t146 (and (tptp.delete_terminates @t1 @t113 @t3) (or @t145 (tptp.permutation_terminates @t3 @t4)))))) true @t147)))) % 5.63/5.84 (assume @p61 @t158) % 5.63/5.84 (assume @p62 (forall @t115 (= (tptp.delete_fails @t113 @t112 @t1) (and (forall @t153 (or @t129 @t159 (tptp.delete_fails @t113 @t3 @t7))) (not @t148))))) % 5.63/5.84 (assume @p63 (forall @t115 (= (tptp.delete_terminates @t113 @t112 @t1) (and (forall @t153 (and true (or @t129 (and true (or @t159 (tptp.delete_terminates @t113 @t3 @t7)))))) true)))) % 5.63/5.84 (assume @p64 (forall @t135 (= (tptp.length_succeeds @t113 @t112) (or (exists @t133 (and @t163 @t162 (tptp.length_succeeds @t4 @t3))) (and @t141 @t160))))) % 5.63/5.84 (assume @p65 (forall @t135 (= (tptp.length_fails @t113 @t112) (and (forall @t133 (or @t165 @t164 (tptp.length_fails @t4 @t3))) (or @t144 (not @t160)))))) % 5.63/5.84 (assume @p66 (forall @t135 (= (tptp.length_terminates @t113 @t112) (and (forall @t133 (and true (or @t165 (and true (or @t164 (tptp.length_terminates @t4 @t3)))))) true @t147)))) % 5.63/5.84 (assume @p67 (forall @t115 (= (tptp.append_succeeds @t113 @t112 @t1) (or (exists @t153 (and @t167 @t151 (tptp.append_succeeds @t3 @t112 @t7))) (and @t141 @t166))))) % 5.63/5.84 (assume @p68 (forall @t115 (= (tptp.append_fails @t113 @t112 @t1) (and (forall @t153 (or @t169 @t159 (tptp.append_fails @t3 @t112 @t7))) (or @t144 @t168))))) % 5.63/5.84 (assume @p69 (forall @t115 (= (tptp.append_terminates @t113 @t112 @t1) (and (forall @t153 (and true (or @t169 (and true (or @t159 (tptp.append_terminates @t3 @t112 @t7)))))) true @t147)))) % 5.63/5.84 (assume @p70 (forall @t135 (= @t114 (or (exists @t172 (and @t143 (tptp.member_succeeds @t113 @t4))) (exists @t171 @t170))))) % 5.63/5.84 (assume @p71 (forall @t135 (= @t116 (and (forall @t172 (or @t146 (tptp.member_fails @t113 @t4))) (forall @t171 (not @t170)))))) % 5.63/5.84 (assume @p72 (forall @t135 (= @t117 (and (forall @t172 (and true (or @t146 (tptp.member_terminates @t113 @t4)))) (forall @t171 true))))) % 5.63/5.84 (assume @p73 @t183) % 5.63/5.84 (assume @p74 (forall @t182 (= (tptp.list_fails @t113) (and (forall @t177 (or @t184 (tptp.list_fails @t1))) @t144)))) % 5.63/5.84 (assume @p75 (forall @t182 (= (tptp.list_terminates @t113) (and (forall @t177 (and true (or @t184 (tptp.list_terminates @t1)))) true)))) % 5.63/5.84 (assume @p76 (forall @t182 (= (tptp.nat_list_succeeds @t113) (or (exists @t177 (and @t175 @t185 (tptp.nat_list_succeeds @t1))) @t141)))) % 5.63/5.84 (assume @p77 (forall @t182 (= (tptp.nat_list_fails @t113) (and (forall @t177 (or @t184 @t186 (tptp.nat_list_fails @t1))) @t144)))) % 5.63/5.84 (assume @p78 (forall @t182 (= (tptp.nat_list_terminates @t113) (and (forall @t177 (and true (or @t184 (and @t187 (or @t186 (tptp.nat_list_terminates @t1)))))) true)))) % 5.63/5.84 (assume @p79 (forall @t115 (= (tptp.times_succeeds @t113 @t112 @t1) (or (exists @t6 (and @t190 (tptp.times_succeeds @t4 @t112 @t3) (tptp.plus_succeeds @t112 @t3 @t1))) (and @t188 @t118))))) % 5.63/5.84 (assume @p80 (forall @t115 (= (tptp.times_fails @t113 @t112 @t1) (and (forall @t6 (or @t193 @t192 (tptp.plus_fails @t112 @t3 @t1))) (or @t191 @t125))))) % 5.63/5.84 (assume @p81 (forall @t115 (= (tptp.times_terminates @t113 @t112 @t1) (and (forall @t6 (and true (or @t193 (and (tptp.times_terminates @t4 @t112 @t3) (or @t192 (tptp.plus_terminates @t112 @t3 @t1)))))) true @t194)))) % 5.63/5.84 (assume @p82 (forall @t115 (= (tptp.plus_succeeds @t113 @t112 @t1) (or (exists @t6 (and @t190 @t195 (tptp.plus_succeeds @t4 @t112 @t3))) (and @t188 @t166))))) % 5.63/5.84 (assume @p83 (forall @t115 (= (tptp.plus_fails @t113 @t112 @t1) (and (forall @t6 (or @t193 @t196 (tptp.plus_fails @t4 @t112 @t3))) (or @t191 @t168))))) % 5.63/5.84 (assume @p84 (forall @t115 (= (tptp.plus_terminates @t113 @t112 @t1) (and (forall @t6 (and true (or @t193 (and true (or @t196 (tptp.plus_terminates @t4 @t112 @t3)))))) true @t194)))) % 5.63/5.84 (assume @p85 (forall @t135 (= (|tptp.'@=<_succeeds'| @t113 @t112) (or (exists @t172 (and @t198 @t197 (|tptp.'@=<_succeeds'| @t1 @t4))) @t188)))) % 5.63/5.84 (assume @p86 (forall @t135 (= (|tptp.'@=<_fails'| @t113 @t112) (and (forall @t172 (or @t200 @t199 (|tptp.'@=<_fails'| @t1 @t4))) @t191)))) % 5.63/5.84 (assume @p87 (forall @t135 (= (|tptp.'@=<_terminates'| @t113 @t112) (and (forall @t172 (and true (or @t200 (and true (or @t199 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 5.63/5.84 (assume @p88 (forall @t135 (= (|tptp.'@<_succeeds'| @t113 @t112) (or (exists @t172 (and @t198 @t197 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t171 (and @t188 @t162)))))) % 5.63/5.84 (assume @p89 (forall @t135 (= (|tptp.'@<_fails'| @t113 @t112) (and (forall @t172 (or @t200 @t199 (|tptp.'@<_fails'| @t1 @t4))) (forall @t171 (or @t191 @t164)))))) % 5.63/5.84 (assume @p90 (forall @t135 (= (|tptp.'@<_terminates'| @t113 @t112) (and (forall @t172 (and true (or @t200 (and true (or @t199 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t171 (and true @t194)))))) % 5.63/5.84 (assume @p91 (forall @t182 (= @t203 (or (exists @t202 (and @t201 @t185)) @t188)))) % 5.63/5.84 (assume @p92 (forall @t182 (= (tptp.nat_fails @t113) (and (forall @t202 (or @t204 @t186)) @t191)))) % 5.63/5.84 (assume @p93 (forall @t182 (= (tptp.nat_terminates @t113) (and (forall @t202 (and true (or @t204 @t187))) true)))) % 5.63/5.84 (assume @p94 (forall @t207 (=> @t206 (tptp.nat_terminates @t205)))) % 5.63/5.84 (assume @p95 (forall @t207 (=> @t206 @t208))) % 5.63/5.84 (assume @p96 (forall @t212 (=> @t206 @t211))) % 5.63/5.84 (assume @p97 (forall @t212 (=> @t213 @t211))) % 5.63/5.84 (assume @p98 (forall @t212 (=> @t214 @t206))) % 5.63/5.84 (assume @p99 (forall @t212 (=> (and @t214 @t215) @t213))) % 5.63/5.84 (assume @p100 (forall @t212 (=> (and @t214 @t213) @t215))) % 5.63/5.84 (assume @p101 (forall @t212 (=> @t214 @t211))) % 5.63/5.84 (assume @p102 (forall @t212 (=> @t214 @t208))) % 5.63/5.84 (assume @p103 (forall @t212 (=> (and @t214 @t217) @t216))) % 5.63/5.84 (assume @p104 (forall @t212 (=> (and @t214 @t216) @t217))) % 5.63/5.84 (assume @p105 (forall @t219 (=> @t206 (exists @t218 @t214)))) % 5.63/5.84 (assume @p106 (forall @t223 (=> (and (tptp.plus_succeeds @t205 @t210 @t221) (tptp.plus_succeeds @t205 @t210 @t220)) @t222))) % 5.63/5.84 (assume @p107 (forall @t224 (= (|tptp.'@+'| |tptp.'0'| @t210) @t210))) % 5.63/5.84 (assume @p108 (forall @t219 (=> @t206 (= @t227 (tptp.s @t225))))) % 5.63/5.84 (assume @p109 (forall @t219 (=> @t228 (tptp.nat_succeeds @t225)))) % 5.63/5.84 (assume @p110 (forall @t212 (=> @t230 (= (|tptp.'@+'| @t225 @t209) (|tptp.'@+'| @t205 @t229))))) % 5.63/5.84 (assume @p111 (forall @t207 (=> @t206 (= (|tptp.'@+'| @t205 |tptp.'0'|) @t205)))) % 5.63/5.84 (assume @p112 (forall @t219 (=> @t228 (= @t232 @t227)))) % 5.63/5.84 (assume @p113 (forall @t219 (=> @t228 (= @t225 @t233)))) % 5.63/5.84 (assume @p114 (forall @t212 (=> (and @t206 (= @t225 @t234)) (= @t210 @t209)))) % 5.63/5.84 (assume @p115 (forall @t212 (=> @t235 @t206))) % 5.63/5.84 (assume @p116 (forall @t212 (=> (and @t235 @t215) @t213))) % 5.63/5.84 (assume @p117 (forall @t212 (=> @t235 @t208))) % 5.63/5.84 (assume @p118 (forall @t212 (=> (and @t235 @t217) @t216))) % 5.63/5.84 (assume @p119 (forall @t212 (=> @t228 (tptp.times_terminates @t205 @t210 @t209)))) % 5.63/5.84 (assume @p120 (forall @t219 (=> @t228 (exists @t218 @t235)))) % 5.63/5.84 (assume @p121 (forall @t223 (=> (and (tptp.times_succeeds @t205 @t210 @t221) (tptp.times_succeeds @t205 @t210 @t220)) @t222))) % 5.63/5.84 (assume @p122 (forall @t224 (=> @t215 (= (|tptp.'@*'| |tptp.'0'| @t210) |tptp.'0'|)))) % 5.63/5.84 (assume @p123 (forall @t219 (=> @t228 (= @t237 (|tptp.'@+'| @t210 @t236))))) % 5.63/5.84 (assume @p124 (forall @t219 (=> @t228 (tptp.nat_succeeds @t236)))) % 5.63/5.84 (assume @p125 (forall @t212 (=> @t230 (= (|tptp.'@*'| @t225 @t209) (|tptp.'@+'| @t239 @t238))))) % 5.63/5.84 (assume @p126 (forall @t212 (=> @t230 (= (|tptp.'@*'| @t236 @t209) (|tptp.'@*'| @t205 @t238))))) % 5.63/5.84 (assume @p127 (forall @t207 (=> @t206 (= (|tptp.'@*'| @t205 |tptp.'0'|) |tptp.'0'|)))) % 5.63/5.84 (assume @p128 (forall (@list @t210 @t205) (=> (and @t215 @t206) (= (|tptp.'@+'| @t240 @t210) (|tptp.'@*'| @t210 @t226))))) % 5.63/5.84 (assume @p129 (forall @t219 (=> @t228 (= @t236 @t240)))) % 5.63/5.84 (assume @p130 (forall @t207 (=> @t206 (= (|tptp.'@*'| @t241 @t205) @t205)))) % 5.63/5.84 (assume @p131 (forall @t207 (=> @t206 (= (|tptp.'@*'| @t205 @t241) @t205)))) % 5.63/5.84 (assume @p132 (forall @t212 (=> @t230 (= (|tptp.'@*'| @t209 @t225) (|tptp.'@+'| (|tptp.'@*'| @t209 @t205) (|tptp.'@*'| @t209 @t210)))))) % 5.63/5.84 (assume @p133 (forall @t219 (=> @t206 @t242))) % 5.63/5.84 (assume @p134 (forall @t219 (=> @t215 @t242))) % 5.63/5.84 (assume @p135 (forall @t219 (=> @t243 @t206))) % 5.63/5.84 (assume @p136 (forall @t219 (=> @t243 (exists @t218 (= @t210 @t244))))) % 5.63/5.84 (assume @p137 (forall @t212 (=> (and @t243 (|tptp.'@<_succeeds'| @t210 @t244)) @t245))) % 5.63/5.84 (assume @p138 (forall @t219 (=> @t243 @t246))) % 5.63/5.84 (assume @p139 (forall @t212 (=> (and @t243 @t247) @t245))) % 5.63/5.84 (assume @p140 (forall @t207 (=> @t206 (|tptp.'@<_fails'| @t205 @t205)))) % 5.63/5.84 (assume @p141 (forall @t207 (=> @t206 (not (|tptp.'@<_succeeds'| @t205 @t205))))) % 5.63/5.84 (assume @p142 (forall @t207 (=> @t206 (|tptp.'@<_succeeds'| @t205 @t226)))) % 5.63/5.84 (assume @p143 (forall @t219 (=> (and @t215 @t246) @t249))) % 5.63/5.84 (assume @p144 (forall @t219 (=> @t228 (or @t243 @t248 (|tptp.'@<_succeeds'| @t210 @t205))))) % 5.63/5.84 (assume @p145 (forall @t207 (=> (and @t206 @t250) (|tptp.'@<_succeeds'| |tptp.'0'| @t205)))) % 5.63/5.84 (assume @p146 (forall @t219 (=> @t206 (|tptp.'@=<_terminates'| @t205 @t210)))) % 5.63/5.84 (assume @p147 (forall @t219 (=> @t251 @t206))) % 5.63/5.84 (assume @p148 (forall @t219 (=> @t251 (exists @t218 (tptp.plus_succeeds @t205 @t209 @t210))))) % 5.63/5.84 (assume @p149 (forall @t219 (=> @t251 (exists @t218 (= @t234 @t210))))) % 5.63/5.84 (assume @p150 (forall @t219 (=> @t243 (exists @t218 (tptp.plus_succeeds @t205 @t244 @t210))))) % 5.63/5.84 (assume @p151 (forall @t219 (=> @t243 (exists @t218 (= (|tptp.'@+'| @t205 @t244) @t210))))) % 5.63/5.84 (assume @p152 (forall @t219 (=> @t243 @t251))) % 5.63/5.84 (assume @p153 (forall @t207 (=> @t206 (|tptp.'@=<_succeeds'| @t205 @t205)))) % 5.63/5.84 (assume @p154 (forall @t219 (=> @t228 (or @t251 @t252)))) % 5.63/5.84 (assume @p155 (forall @t219 (=> @t228 (or @t243 @t252)))) % 5.63/5.84 (assume @p156 (forall @t219 (=> (and @t206 @t215 (|tptp.'@=<_fails'| @t205 @t210)) @t252))) % 5.63/5.84 (assume @p157 (forall @t219 (=> (and @t251 @t215) @t249))) % 5.63/5.84 (assume @p158 (forall @t212 (=> (and @t251 @t247) @t245))) % 5.63/5.84 (assume @p159 (forall @t212 (=> (and @t243 @t253) @t245))) % 5.63/5.84 (assume @p160 (forall @t212 (=> (and @t251 @t253) (|tptp.'@=<_succeeds'| @t205 @t209)))) % 5.63/5.84 (assume @p161 (forall @t219 (=> (and @t251 @t252) @t248))) % 5.63/5.84 (assume @p162 (forall @t207 (=> @t206 (|tptp.'@=<_succeeds'| @t205 @t226)))) % 5.63/5.84 (assume @p163 (forall @t207 (=> @t206 (|tptp.'@=<_fails'| @t226 @t205)))) % 5.63/5.84 (assume @p164 (forall @t212 (=> (and @t206 @t247) @t254))) % 5.63/5.84 (assume @p165 (forall @t219 (=> @t206 (|tptp.'@<_succeeds'| @t205 @t232)))) % 5.63/5.84 (assume @p166 (forall @t212 (=> (and @t243 @t215 @t213) @t255))) % 5.63/5.84 (assume @p167 (forall @t219 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t210) @t206 @t215) (|tptp.'@<_succeeds'| @t205 @t233)))) % 5.63/5.84 (assume @p168 (forall @t212 (=> (and @t206 @t253) @t256))) % 5.63/5.84 (assume @p169 (forall @t212 (=> @t257 (|tptp.'@=<_succeeds'| @t234 @t229)))) % 5.63/5.84 (assume @p170 (forall @t219 (=> @t206 (|tptp.'@=<_succeeds'| @t205 @t225)))) % 5.63/5.84 (assume @p171 (forall @t219 (=> @t228 (|tptp.'@=<_succeeds'| @t210 @t225)))) % 5.63/5.84 (assume @p172 (forall @t212 (=> (and @t206 @t254) @t247))) % 5.63/5.84 (assume @p173 (forall @t212 (=> (and @t206 @t215 @t213 @t255) @t243))) % 5.63/5.84 (assume @p174 (forall @t212 (=> (and @t206 @t256) @t253))) % 5.63/5.84 (assume @p175 (forall @t265 (=> (and @t264 @t263 @t262) (|tptp.'@=<_succeeds'| @t261 @t260)))) % 5.63/5.84 (assume @p176 (forall @t265 (=> (and @t267 @t263 @t262) @t266))) % 5.63/5.84 (assume @p177 (forall @t265 (=> (and @t264 @t268 @t262) @t266))) % 5.63/5.84 (assume @p178 (forall @t265 (=> (and @t267 @t268 @t262) @t266))) % 5.63/5.84 (assume @p179 (forall @t212 (=> (and @t206 @t253 @t213) (|tptp.'@=<_succeeds'| @t236 @t239)))) % 5.63/5.84 (assume @p180 (forall @t212 (=> @t257 (|tptp.'@=<_succeeds'| @t239 @t238)))) % 5.63/5.84 (assume @p181 (forall @t212 (=> (and @t206 @t250 @t247 @t213) (|tptp.'@<_succeeds'| @t236 @t239)))) % 5.63/5.84 (assume @p182 (forall @t212 (=> (and @t206 @t215 @t213 (|tptp.'@=<_succeeds'| @t237 (|tptp.'@*'| @t226 @t209))) @t253))) % 5.63/5.84 (assume @p183 (forall (@list @t113 @t112 @t210) (=> (and @t203 @t185 @t215 (= (|tptp.'@+'| @t113 @t210) (|tptp.'@+'| @t112 @t210))) (= @t113 @t112)))) % 5.63/5.84 (assume @p184 (forall @t207 (tptp.list_succeeds (tptp.cons @t205 tptp.nil)))) % 5.63/5.84 (assume @p185 (forall @t219 (tptp.list_succeeds (tptp.cons @t205 (tptp.cons @t210 tptp.nil))))) % 5.63/5.84 (assume @p186 (forall @t212 (tptp.list_succeeds (tptp.cons @t205 (tptp.cons @t210 (tptp.cons @t209 tptp.nil)))))) % 5.63/5.84 (assume @p187 @t274) % 5.63/5.84 (assume @p188 (forall @t275 (=> @t270 (tptp.list_terminates @t269)))) % 5.63/5.84 (assume @p189 (forall @t273 (=> @t270 (tptp.member_terminates @t205 @t269)))) % 5.63/5.84 (assume @p190 (forall @t273 (=> @t270 (or @t276 (tptp.member_fails @t205 @t269))))) % 5.63/5.84 (assume @p191 (forall @t273 (=> (and @t276 @t277) @t208))) % 5.63/5.84 (assume @p192 (forall (@list @t205 @t210 @t209 @t269) (=> (and (tptp.member_succeeds @t205 @t279) @t278) @t276))) % 5.63/5.84 (assume @p193 (forall @t285 (=> @t284 @t281))) % 5.63/5.84 (assume @p194 (forall @t285 (=> (and @t284 @t287) @t286))) % 5.63/5.84 (assume @p195 (forall @t285 (=> @t288 @t287))) % 5.63/5.84 (assume @p196 (forall @t285 (=> @t288 @t289))) % 5.63/5.84 (assume @p197 (forall @t285 (=> @t281 @t290))) % 5.63/5.84 (assume @p198 (forall @t285 (=> @t286 @t290))) % 5.63/5.84 (assume @p199 (forall @t285 (=> (and @t284 @t293 @t292) @t291))) % 5.63/5.84 (assume @p200 (forall @t285 (=> (and @t284 @t291) @t294))) % 5.63/5.84 (assume @p201 (forall @t295 (=> @t281 (exists (@list @t282) @t284)))) % 5.63/5.84 (assume @p202 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t280 @t283 @t296)) (= @t282 @t296)))) % 5.63/5.84 (assume @p203 (forall @t275 (= (|tptp.'**'| tptp.nil @t269) @t269))) % 5.63/5.84 (assume @p204 (forall @t300 (=> @t281 (= (|tptp.'**'| @t299 @t283) (tptp.cons @t205 @t298))))) % 5.63/5.84 (assume @p205 (forall @t295 (=> @t289 @t301))) % 5.63/5.84 (assume @p206 (forall @t295 (=> (and @t281 @t301) @t287))) % 5.63/5.84 (assume @p207 (forall @t295 (=> (and @t281 @t293 @t292) @t302))) % 5.63/5.84 (assume @p208 (forall @t295 (=> (and @t281 @t302) @t294))) % 5.63/5.84 (assume @p209 (forall @t285 (=> @t289 (= (|tptp.'**'| @t298 @t282) (|tptp.'**'| @t280 @t303))))) % 5.63/5.84 (assume @p210 (forall @t275 (=> @t270 (= (|tptp.'**'| @t269 tptp.nil) @t269)))) % 5.63/5.84 (assume @p211 (forall @t308 (=> @t307 @t306))) % 5.63/5.84 (assume @p212 (forall @t308 (=> @t270 (tptp.length_terminates @t269 @t304)))) % 5.63/5.84 (assume @p213 (forall @t308 (=> @t307 @t309))) % 5.63/5.84 (assume @p214 (forall @t275 (=> @t270 (exists @t310 @t307)))) % 5.63/5.84 (assume @p215 (forall (@list @t269 @t311 @t304) (=> (and (tptp.length_succeeds @t269 @t311) @t307) @t312))) % 5.63/5.84 (assume @p216 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 5.63/5.84 (assume @p217 (forall @t273 (=> @t270 (= @t314 (tptp.s @t313))))) % 5.63/5.84 (assume @p218 (forall @t275 (=> @t270 (tptp.nat_succeeds @t313)))) % 5.63/5.84 (assume @p219 (forall @t275 (=> (and @t270 (= @t313 |tptp.'0'|)) (= @t269 tptp.nil)))) % 5.63/5.84 (assume @p220 (forall (@list @t304 @t280) (=> (and @t281 (= @t318 @t317)) (exists @t316 (= @t280 @t315))))) % 5.63/5.84 (assume @p221 (forall @t295 (=> @t289 (= @t321 @t320)))) % 5.63/5.84 (assume @p222 (forall @t295 (=> @t289 (|tptp.'@=<_succeeds'| @t318 @t321)))) % 5.63/5.84 (assume @p223 (forall @t295 (=> @t289 (|tptp.'@=<_succeeds'| @t319 @t321)))) % 5.63/5.84 (assume @p224 (forall @t273 (=> @t270 (|tptp.'@=<_succeeds'| @t313 @t314)))) % 5.63/5.84 (assume @p225 (forall @t285 (=> @t288 (= @t320 @t322)))) % 5.63/5.84 (assume @p226 (forall @t285 (=> @t288 (|tptp.'@=<_succeeds'| @t318 @t322)))) % 5.63/5.84 (assume @p227 (forall @t285 (=> @t288 (|tptp.'@=<_succeeds'| @t319 @t322)))) % 5.63/5.84 (assume @p228 (forall (@list @t205 @t323) (tptp.sub @t323 @t324))) % 5.63/5.84 (assume @p229 (forall @t275 (tptp.sub @t269 @t269))) % 5.63/5.84 (assume @p230 (forall (@list @t323 @t326 @t325) (=> (and @t327 (tptp.sub @t326 @t325)) (tptp.sub @t323 @t325)))) % 5.63/5.84 (assume @p231 (forall @t275 (tptp.sub tptp.nil @t269))) % 5.63/5.84 (assume @p232 (forall @t328 (=> (and @t327 (tptp.member_succeeds @t205 @t326)) (tptp.sub @t324 @t326)))) % 5.63/5.84 (assume @p233 (forall @t328 (=> @t327 (tptp.sub @t324 (tptp.cons @t205 @t326))))) % 5.63/5.84 (assume @p234 (forall (@list @t205 @t282) (=> @t330 (exists @t295 @t329)))) % 5.63/5.84 (assume @p235 (forall @t332 (=> (and @t284 @t331) @t330))) % 5.63/5.84 (assume @p236 (forall @t332 (=> (and @t284 @t333) @t330))) % 5.63/5.84 (assume @p237 (forall @t300 (=> (and @t331 @t281) @t334))) % 5.63/5.84 (assume @p238 (forall @t300 (=> (and @t333 @t281) @t334))) % 5.63/5.84 (assume @p239 (forall @t332 (=> @t329 @t330))) % 5.63/5.84 (assume @p240 (forall @t332 (=> (and @t284 @t330) @t335))) % 5.63/5.84 (assume @p241 (forall @t300 (=> (and @t281 @t334) @t335))) % 5.63/5.84 (assume @p242 (forall @t295 (=> @t281 (tptp.sub @t280 @t298)))) % 5.63/5.84 (assume @p243 (forall @t295 (=> @t281 (tptp.sub @t283 @t298)))) % 5.63/5.84 (assume @p244 (forall @t332 (=> @t288 (not (= @t283 (tptp.cons @t205 @t282)))))) % 5.63/5.84 (assume @p245 (forall @t295 (=> (and (tptp.append_succeeds @t280 @t283 @t283) @t287) @t336))) % 5.63/5.84 (assume @p246 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t296 @t283 @t282) @t286) (= @t280 @t296)))) % 5.63/5.84 (assume @p247 (forall @t285 (=> (and @t281 @t287 @t286 (= (|tptp.'**'| @t280 @t282) @t303)) (= @t280 @t283)))) % 5.63/5.84 (assume @p248 (forall @t297 (=> (and @t284 (tptp.append_succeeds @t280 @t296 @t282)) (= @t283 @t296)))) % 5.63/5.84 (assume @p249 (forall @t275 (=> @t337 @t270))) % 5.63/5.84 (assume @p250 (forall @t275 (=> @t337 (tptp.nat_list_terminates @t269)))) % 5.63/5.84 (assume @p251 (forall @t207 (=> (tptp.nat_list_succeeds @t205) @t208))) % 5.63/5.84 (assume @p252 (forall (@list @t205 @t280 @t283 @t304) (=> (and @t281 @t287 (|tptp.'@<_succeeds'| (|tptp.'@+'| (tptp.lh @t299) @t319) @t317)) @t338))) % 5.63/5.84 (assume @p253 (forall (@list @t280 @t210 @t283 @t304) (=> (and @t281 @t287 (|tptp.'@<_succeeds'| (|tptp.'@+'| @t318 (tptp.lh (tptp.cons @t210 @t283))) @t317)) @t338))) % 5.63/5.84 (assume @p254 (forall @t300 (=> @t281 @t339))) % 5.63/5.84 (assume @p255 (forall @t300 (=> @t287 @t339))) % 5.63/5.84 (assume @p256 @t342) % 5.63/5.84 (assume @p257 (forall @t300 (=> (and @t340 @t287) @t281))) % 5.63/5.84 (assume @p258 (forall @t300 (=> @t341 (= @t318 (tptp.s @t319))))) % 5.63/5.84 (assume @p259 (forall @t300 (=> @t281 (tptp.delete_succeeds @t205 (|tptp.'**'| @t280 @t315) @t298)))) % 5.63/5.84 (assume @p260 @t350) % 5.63/5.84 (assume @p261 (forall @t300 (=> (and @t340 (tptp.nat_list_succeeds @t280)) (and @t206 (tptp.nat_list_succeeds @t283))))) % 5.63/5.84 (assume @p262 (forall @t300 (=> (and @t340 @t293) (and @t208 @t292)))) % 5.63/5.84 (assume @p263 (forall @t353 (=> (and @t340 @t352) (or @t351 (= @t210 @t205))))) % 5.63/5.84 (assume @p264 (forall @t300 (=> @t340 @t331))) % 5.63/5.84 (assume @p265 (forall @t353 (=> (and @t340 @t351) @t352))) % 5.63/5.84 (assume @p266 (forall (@list @t205 @t280) (=> @t331 (exists (@list @t283) @t340)))) % 5.63/5.84 (assume @p267 (forall @t353 (=> (and @t340 @t352 @t278) @t351))) % 5.63/5.84 (assume @p268 (forall @t212 (=> @t206 (= (= @t225 @t209) @t214)))) % 5.63/5.84 (assume @p269 (forall @t212 (=> @t228 (= (= @t236 @t209) @t235)))) % 5.63/5.84 (assume @p270 (forall @t285 (=> @t281 (= (= @t298 @t282) @t284)))) % 5.63/5.84 (assume @p271 (forall @t308 (=> @t270 (= (= @t313 @t304) @t307)))) % 5.63/5.84 (assume @p272 (forall @t295 (= (tptp.sub @t280 @t283) (forall @t207 (=> @t331 @t333))))) % 5.63/5.84 (assume @p273 (forall (@list @t205 @t269 @t311) (=> @t270 (= (= @t355 @t311) @t354)))) % 5.63/5.84 (assume @p274 (forall @t295 (=> (tptp.permutation_succeeds @t280 @t283) @t289))) % 5.63/5.84 (assume @p275 (forall (@list @t304 @t280 @t283) (=> (and @t305 @t281 (= @t318 @t304)) @t356))) % 5.63/5.84 (assume @p276 (forall @t295 (=> @t281 @t356))) % 5.63/5.84 (assume @p277 (forall @t300 (=> @t289 (tptp.member2_terminates @t205 @t280 @t283)))) % 5.63/5.84 (assume @p278 (forall @t357 (=> (and @t270 @t277 @t208) (tptp.occ_terminates @t205 @t269 @t304)))) % 5.63/5.84 (assume @p279 (forall @t300 (=> (and (tptp.member2_succeeds @t205 @t280 @t283) @t293 @t292) @t208))) % 5.63/5.84 (assume @p280 (forall @t357 (=> @t358 @t309))) % 5.63/5.84 (assume @p281 (forall @t295 (=> @t359 (tptp.not_same_occ_terminates @t280 @t283)))) % 5.63/5.84 (assume @p282 (forall @t295 (=> @t359 (tptp.same_occ_terminates @t280 @t283)))) % 5.63/5.84 (assume @p283 (forall @t357 (=> @t358 @t306))) % 5.63/5.84 (assume @p284 (forall @t273 (=> @t270 (exists @t310 @t358)))) % 5.63/5.84 (assume @p285 (forall (@list @t205 @t269 @t311 @t304) (=> (and @t354 @t358) @t312))) % 5.63/5.84 (assume @p286 @t361) % 5.63/5.84 (assume @p287 @t366) % 5.63/5.84 (assume @p288 @t368) % 5.63/5.84 (assume @p289 (forall @t273 (=> @t270 (tptp.nat_succeeds @t355)))) % 5.63/5.84 (assume @p290 (forall @t300 (=> @t289 (= (tptp.occ @t205 @t298) (|tptp.'@+'| @t370 @t369))))) % 5.63/5.84 (assume @p291 (forall @t353 (=> (and @t281 @t340 @t278) (= (tptp.occ @t210 @t280) (tptp.occ @t210 @t283))))) % 5.63/5.84 (assume @p292 @t385) % 5.63/5.84 (assume @p293 @t388) % 5.63/5.84 (assume @p294 true) % 5.63/5.84 (step @p295 :rule aci_norm :args ((= (or (or @t390 @t389) @t372) @t391))) % 5.63/5.84 (step @p296 :rule refl :args (@t372)) % 5.63/5.84 (step @p297 :rule bool-and-de-morgan :args (@t281 @t340 true)) % 5.63/5.84 (step @p298 :rule nary_cong :premises (@p297 @p296) :args ((or (not @t386) @t372))) % 5.63/5.84 (step @p299 :rule trans :premises (@p298 @p295)) % 5.63/5.84 (step @p300 :rule bool-impl-elim :args (@t386 @t372)) % 5.63/5.84 (step @p301 :rule trans :premises (@p300 @p299)) % 5.63/5.84 (step @p302 :rule cong :premises (@p301) :args (@t387)) % 5.63/5.84 (step @p303 :rule cong :premises (@p302) :args (@t388)) % 5.63/5.84 (step @p304 :rule eq_resolve :premises (@p293 @p303)) % 5.63/5.84 (step @p305 :rule quant_var_reordering :args ((= (forall (@list @t280 @t205 @t283) @t391) @t392))) % 5.63/5.84 (step @p306 :rule alpha_equiv :args ((forall (@list @t395 @t394 @t393) (or (not (tptp.list_succeeds @t395)) (not (tptp.delete_succeeds @t394 @t395 @t393)) (= (tptp.occ @t394 @t395) (tptp.s (tptp.occ @t394 @t393))))) @t396 (@list @t205 @t283 @t280))) % 5.63/5.84 (step @p307 :rule alpha_equiv :args (@t403 (@list @t398 @t397 @t280) @t396)) % 5.63/5.84 (step @p308 :rule trans :premises (@p307 @p306 @p305)) % 5.63/5.84 (step @p309 :rule equiv_elim1 :premises (@p308)) % 5.63/5.84 (step @p310 :rule reordering :premises (@p309) :args ((or @t392 @t404))) % 5.63/5.84 (step @p311 :rule chain_m_resolution :premises (@p310 @p304) :args (@t404 @t405 (@list @t392))) % 5.63/5.84 (step @p312 :rule aci_norm :args ((= @t407 @t401))) % 5.63/5.84 (step @p313 :rule cong :premises (@p312) :args (@t408)) % 5.63/5.84 (step @p314 :rule quant-merge-prenex :args ((= (forall @t375 @t410) @t408))) % 5.63/5.84 (step @p315 :rule alpha_equiv :args (@t411 (@list @t398 @t397) @t412)) % 5.63/5.84 (step @p316 :rule refl :args (@t390)) % 5.63/5.84 (step @p317 :rule nary_cong :premises (@p316 @p315) :args (@t413)) % 5.63/5.84 (step @p318 :rule quant-miniscope-or :args ((= @t410 @t413))) % 5.63/5.84 (step @p319 :rule trans :premises (@p318 @p317)) % 5.63/5.84 (step @p320 :rule symm :premises (@p319)) % 5.63/5.84 (step @p321 :rule cong :premises (@p320) :args ((forall @t375 (or @t390 @t414)))) % 5.63/5.84 (step @p322 :rule trans :premises (@p321 @p314)) % 5.63/5.84 (step @p323 :rule trans :premises (@p322 @p313)) % 5.63/5.84 (step @p324 :rule bool-impl-elim :args (@t281 @t414)) % 5.63/5.84 (step @p325 :rule cong :premises (@p324) :args ((forall @t375 (=> @t281 @t414)))) % 5.63/5.84 (step @p326 :rule trans :premises (@p325 @p323)) % 5.63/5.84 (step @p327 :rule bool-impl-elim :args (@t340 @t372)) % 5.63/5.84 (step @p328 :rule cong :premises (@p327) :args (@t373)) % 5.63/5.84 (step @p329 :rule refl :args (@t281)) % 5.63/5.84 (step @p330 :rule cong :premises (@p329 @p328) :args (@t374)) % 5.63/5.84 (step @p331 :rule cong :premises (@p330) :args (@t376)) % 5.63/5.84 (step @p332 :rule trans :premises (@p331 @p326)) % 5.63/5.84 (step @p333 :rule refl :args (@t417)) % 5.63/5.84 (step @p334 :rule refl :args (@t418)) % 5.63/5.84 (step @p335 :rule refl :args (@t420)) % 5.63/5.84 (step @p336 :rule eq-symm :args (@t422 @t371)) % 5.63/5.84 (step @p337 :rule refl :args (@t423)) % 5.63/5.84 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t424)) % 5.63/5.84 (step @p339 :rule cong :premises (@p338) :args (@t425)) % 5.63/5.84 (step @p340 :rule cong :premises (@p339) :args (@t426)) % 5.63/5.84 (step @p341 :rule refl :args (@t427)) % 5.63/5.84 (step @p342 :rule eq-symm :args (@t429 @t280)) % 5.63/5.84 (step @p343 :rule cong :premises (@p342) :args (@t430)) % 5.63/5.84 (step @p344 :rule nary_cong :premises (@p343 @p341 @p340) :args (@t431)) % 5.63/5.84 (step @p345 :rule nary_cong :premises (@p344 @p335) :args (@t432)) % 5.63/5.84 (step @p346 :rule nary_cong :premises (@p345 @p334 @p333) :args (@t433)) % 5.63/5.84 (step @p347 :rule aci_norm :args ((= @t435 @t433))) % 5.63/5.84 (step @p348 :rule trans :premises (@p347 @p346)) % 5.63/5.84 (step @p349 :rule cong :premises (@p348) :args (@t437)) % 5.63/5.84 (step @p350 :rule quant-merge-prenex :args ((= (forall @t375 @t438) @t437))) % 5.63/5.84 (step @p351 :rule alpha_equiv :args (@t439 (@list @t416 @t415) @t412)) % 5.63/5.84 (step @p352 :rule quant-unused-vars :args ((= @t441 @t420))) % 5.63/5.84 (step @p353 :rule alpha_equiv :args (@t442 (@list @t428 @t421) 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@t656) % 5.63/5.87 (assume-push @p1179 @t596) % 5.63/5.87 (assume-push @p1180 @t642) % 5.63/5.87 (assume-push @p1181 @t633) % 5.63/5.87 (assume-push @p1182 @t638) % 5.63/5.87 (assume-push @p1183 @t649) % 5.63/5.87 (assume-push @p1184 @t656) % 5.63/5.87 (assume-push @p1185 @t547) % 5.63/5.87 (assume-push @p1186 @t633) % 5.63/5.87 (assume-push @p1187 @t649) % 5.63/5.87 (assume-push @p1188 @t642) % 5.63/5.87 (assume-push @p1189 @t638) % 5.63/5.87 (assume-push @p1190 @t596) % 5.63/5.87 (assume-push @p1191 @t538) % 5.63/5.87 (step @p1018 :rule symm :premises (@p1177)) % 5.63/5.87 (step @p1019 :rule refl :args (@t543)) % 5.63/5.87 (step @p1020 :rule cong :premises (@p1178 @p1019) :args (@t631)) % 5.63/5.87 (step @p1021 :rule trans :premises (@p1020 @p1018)) % 5.63/5.87 (step @p1022 :rule symm :premises (@p1178)) % 5.63/5.87 (step @p1023 :rule cong :premises (@p1022 @p1021) :args ((tptp.occ @t535 @t631))) % 5.63/5.87 (step @p1024 :rule refl :args (@t631)) % 5.63/5.87 (step @p1025 :rule cong :premises (@p1178 @p1024) :args (@t632)) % 5.63/5.87 (step @p1026 :rule symm :premises (@p1181)) % 5.63/5.87 (step @p1027 :rule trans :premises (@p1183 @p1026 @p1025 @p1023)) % 5.63/5.87 (step @p1028 :rule cong :premises (@p1027) :args ((tptp.s @t645))) % 5.63/5.87 (step @p1029 :rule symm :premises (@p1180)) % 5.63/5.87 (step @p593 :rule refl :args (@t461)) % 5.63/5.87 (step @p1030 :rule cong :premises (@p593 @p1029) :args (@t636)) % 5.63/5.87 (step @p1031 :rule cong :premises (@p1030) :args (@t637)) % 5.63/5.87 (step @p1032 :rule symm :premises (@p1179)) % 5.63/5.87 (step @p1033 :rule cong :premises (@p1022 @p1032) :args ((tptp.cons @t535 @t595))) % 5.63/5.87 (step @p1034 :rule refl :args (@t535)) % 5.63/5.87 (step @p1035 :rule cong :premises (@p1034 @p1179) :args (@t537)) % 5.63/5.87 (step @p1036 :rule trans :premises (@p1176 @p1035 @p1033)) % 5.63/5.87 (step @p1037 :rule cong :premises (@p593 @p1036) :args (@t465)) % 5.63/5.87 (step @p1038 :rule trans :premises (@p1037 @p1182 @p1031 @p1028)) % 5.63/5.87 (step-pop @p1192 :rule scope :premises (@p1038)) % 5.63/5.87 (step-pop @p1193 :rule scope :premises (@p1192)) % 5.63/5.87 (step-pop @p1194 :rule scope :premises (@p1193)) % 5.63/5.87 (step-pop @p1195 :rule scope :premises (@p1194)) % 5.63/5.87 (step-pop @p1196 :rule scope :premises (@p1195)) % 5.63/5.87 (step-pop @p1197 :rule scope :premises (@p1196)) % 5.63/5.87 (step-pop @p1198 :rule scope :premises (@p1197)) % 5.63/5.87 (step-pop @p1199 :rule scope :premises (@p1198)) % 5.63/5.87 (step @p1039 :rule process_scope :premises (@p1199) :args (@t466)) % 5.63/5.87 (step @p1048 :rule and_intro :premises (@p1178 @p1177 @p1181 @p1183 @p1180 @p1182 @p1179 @p1176)) % 5.63/5.87 (step @p1049 :rule modus_ponens :premises (@p1048 @p1039)) % 5.63/5.87 (step-pop @p1200 :rule scope :premises (@p1049)) % 5.63/5.87 (step-pop @p1201 :rule scope :premises (@p1200)) % 5.63/5.87 (step-pop @p1202 :rule scope :premises (@p1201)) % 5.63/5.87 (step-pop @p1203 :rule scope :premises (@p1202)) % 5.63/5.87 (step-pop @p1204 :rule scope :premises (@p1203)) % 5.63/5.87 (step-pop @p1205 :rule scope :premises (@p1204)) % 5.63/5.87 (step-pop @p1206 :rule scope :premises (@p1205)) % 5.63/5.87 (step-pop @p1207 :rule scope :premises (@p1206)) % 5.63/5.87 (step @p1050 :rule process_scope :premises (@p1207) :args (@t466)) % 5.63/5.87 (step @p1059 :rule implies_elim :premises (@p1050)) % 5.63/5.87 (step @p1060 :rule cnf_and_neg :args (@t662)) % 5.63/5.87 (step @p1061 :rule resolution :premises (@p1060 @p1059) :args (true @t662)) % 5.63/5.87 (step @p1062 :rule reordering :premises (@p1061) :args ((or @t466 @t539 @t548 (not @t656) @t597 @t652 (not @t633) (not @t638) @t661))) % 5.63/5.87 (step @p1063 false :rule chain_m_resolution :premises (@p1062 @p1001 @p935 @p875 @p850 @p846 @p761 @p689 @p683 @p405) :args (false (@list false false false false false false false false true) (@list @t656 @t649 @t642 @t638 @t633 @t596 @t547 @t538 @t466))) % 5.63/5.87 ) % 5.63/5.87 % SZS output end Proof % 5.63/5.87 % cvc5 exiting %------------------------------------------------------------------------------