%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX026+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 33.91s 34.19s % Output : Proof 34.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX026+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:53:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.55 %----Proving TF0_NAR, FOF, or CNF % 33.91/34.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.91/34.19 --- Run --no-e-matching --full-saturate-quant at 6... % 33.91/34.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.91/34.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.91/34.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.91/34.19 % SZS status Theorem % 33.91/34.19 % SZS output start Proof % 33.91/34.19 ( % 33.91/34.19 (declare-sort $$unsorted 0) % 33.91/34.19 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.19 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.19 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.19 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.gr (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 33.91/34.19 (declare-const |tptp.'0'| $$unsorted) % 33.91/34.19 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nil $$unsorted) % 33.91/34.19 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 33.91/34.19 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 33.91/34.19 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.91/34.19 (define @t1 () (@var "Xx3" $$unsorted)) % 33.91/34.19 (define @t2 () (tptp.s @t1)) % 33.91/34.19 (define @t3 () (@var "Xx5" $$unsorted)) % 33.91/34.19 (define @t4 () (@var "Xx4" $$unsorted)) % 33.91/34.19 (define @t5 () (tptp.cons @t4 @t3)) % 33.91/34.19 (define @t6 () (@list @t4 @t3)) % 33.91/34.19 (define @t7 () (@var "Xx6" $$unsorted)) % 33.91/34.19 (define @t8 () (@var "Xx8" $$unsorted)) % 33.91/34.19 (define @t9 () (@var "Xx7" $$unsorted)) % 33.91/34.19 (define @t10 () (@var "Xx10" $$unsorted)) % 33.91/34.19 (define @t11 () (@var "Xx9" $$unsorted)) % 33.91/34.19 (define @t12 () (@var "Xx13" $$unsorted)) % 33.91/34.19 (define @t13 () (@var "Xx12" $$unsorted)) % 33.91/34.19 (define @t14 () (@var "Xx11" $$unsorted)) % 33.91/34.19 (define @t15 () (@var "Xx17" $$unsorted)) % 33.91/34.19 (define @t16 () (@var "Xx15" $$unsorted)) % 33.91/34.19 (define @t17 () (= @t16 @t15)) % 33.91/34.19 (define @t18 () (@var "Xx16" $$unsorted)) % 33.91/34.19 (define @t19 () (@var "Xx14" $$unsorted)) % 33.91/34.19 (define @t20 () (= (tptp.cons @t19 @t16) (tptp.cons @t18 @t15))) % 33.91/34.19 (define @t21 () (forall (@list @t19 @t16 @t18 @t15) (=> @t20 @t17))) % 33.91/34.19 (define @t22 () (@var "Xx20" $$unsorted)) % 33.91/34.19 (define @t23 () (@var "Xx18" $$unsorted)) % 33.91/34.19 (define @t24 () (@var "Xx21" $$unsorted)) % 33.91/34.19 (define @t25 () (@var "Xx19" $$unsorted)) % 33.91/34.19 (define @t26 () (@var "Xx22" $$unsorted)) % 33.91/34.19 (define @t27 () (@var "Xx24" $$unsorted)) % 33.91/34.19 (define @t28 () (@var "Xx23" $$unsorted)) % 33.91/34.19 (define @t29 () (@var "Xx27" $$unsorted)) % 33.91/34.19 (define @t30 () (@var "Xx26" $$unsorted)) % 33.91/34.19 (define @t31 () (@var "Xx25" $$unsorted)) % 33.91/34.19 (define @t32 () (tptp.delete_fails @t31 @t30 @t29)) % 33.91/34.19 (define @t33 () (tptp.delete_succeeds @t31 @t30 @t29)) % 33.91/34.19 (define @t34 () (@list @t31 @t30 @t29)) % 33.91/34.19 (define @t35 () (@var "Xx29" $$unsorted)) % 33.91/34.19 (define @t36 () (@var "Xx28" $$unsorted)) % 33.91/34.19 (define @t37 () (tptp.length_fails @t36 @t35)) % 33.91/34.19 (define @t38 () (tptp.length_succeeds @t36 @t35)) % 33.91/34.19 (define @t39 () (@list @t36 @t35)) % 33.91/34.19 (define @t40 () (@var "Xx32" $$unsorted)) % 33.91/34.19 (define @t41 () (@var "Xx31" $$unsorted)) % 33.91/34.19 (define @t42 () (@var "Xx30" $$unsorted)) % 33.91/34.19 (define @t43 () (tptp.append_fails @t42 @t41 @t40)) % 33.91/34.19 (define @t44 () (tptp.append_succeeds @t42 @t41 @t40)) % 33.91/34.19 (define @t45 () (@list @t42 @t41 @t40)) % 33.91/34.19 (define @t46 () (@var "Xx34" $$unsorted)) % 33.91/34.19 (define @t47 () (@var "Xx33" $$unsorted)) % 33.91/34.19 (define @t48 () (tptp.member_fails @t47 @t46)) % 33.91/34.19 (define @t49 () (tptp.member_succeeds @t47 @t46)) % 33.91/34.19 (define @t50 () (@list @t47 @t46)) % 33.91/34.19 (define @t51 () (@var "Xx35" $$unsorted)) % 33.91/34.19 (define @t52 () (tptp.list_fails @t51)) % 33.91/34.19 (define @t53 () (tptp.list_succeeds @t51)) % 33.91/34.19 (define @t54 () (@list @t51)) % 33.91/34.19 (define @t55 () (@var "Xx36" $$unsorted)) % 33.91/34.19 (define @t56 () (tptp.nat_list_fails @t55)) % 33.91/34.19 (define @t57 () (tptp.nat_list_succeeds @t55)) % 33.91/34.19 (define @t58 () (@list @t55)) % 33.91/34.19 (define @t59 () (@var "Xx39" $$unsorted)) % 33.91/34.19 (define @t60 () (@var "Xx38" $$unsorted)) % 33.91/34.19 (define @t61 () (@var "Xx37" $$unsorted)) % 33.91/34.19 (define @t62 () (tptp.times_fails @t61 @t60 @t59)) % 33.91/34.19 (define @t63 () (tptp.times_succeeds @t61 @t60 @t59)) % 33.91/34.19 (define @t64 () (@list @t61 @t60 @t59)) % 33.91/34.19 (define @t65 () (@var "Xx42" $$unsorted)) % 33.91/34.19 (define @t66 () (@var "Xx41" $$unsorted)) % 33.91/34.19 (define @t67 () (@var "Xx40" $$unsorted)) % 33.91/34.19 (define @t68 () (tptp.plus_fails @t67 @t66 @t65)) % 33.91/34.19 (define @t69 () (tptp.plus_succeeds @t67 @t66 @t65)) % 33.91/34.19 (define @t70 () (@list @t67 @t66 @t65)) % 33.91/34.19 (define @t71 () (@var "Xx44" $$unsorted)) % 33.91/34.19 (define @t72 () (@var "Xx43" $$unsorted)) % 33.91/34.19 (define @t73 () (|tptp.'@=<_fails'| @t72 @t71)) % 33.91/34.19 (define @t74 () (|tptp.'@=<_succeeds'| @t72 @t71)) % 33.91/34.19 (define @t75 () (@list @t72 @t71)) % 33.91/34.19 (define @t76 () (@var "Xx46" $$unsorted)) % 33.91/34.19 (define @t77 () (@var "Xx45" $$unsorted)) % 33.91/34.19 (define @t78 () (|tptp.'@<_fails'| @t77 @t76)) % 33.91/34.19 (define @t79 () (|tptp.'@<_succeeds'| @t77 @t76)) % 33.91/34.19 (define @t80 () (@list @t77 @t76)) % 33.91/34.19 (define @t81 () (@var "Xx47" $$unsorted)) % 33.91/34.19 (define @t82 () (tptp.nat_fails @t81)) % 33.91/34.19 (define @t83 () (tptp.nat_succeeds @t81)) % 33.91/34.19 (define @t84 () (@list @t81)) % 33.91/34.19 (define @t85 () (@var "Xx1" $$unsorted)) % 33.91/34.19 (define @t86 () (@var "Xx2" $$unsorted)) % 33.91/34.19 (define @t87 () (= @t86 (tptp.cons @t85 @t1))) % 33.91/34.19 (define @t88 () (tptp.cons @t4 @t7)) % 33.91/34.19 (define @t89 () (= @t1 @t88)) % 33.91/34.19 (define @t90 () (= @t86 @t5)) % 33.91/34.19 (define @t91 () (@list @t4 @t3 @t7)) % 33.91/34.19 (define @t92 () (@list @t85 @t86 @t1)) % 33.91/34.19 (define @t93 () (not @t89)) % 33.91/34.19 (define @t94 () (not @t90)) % 33.91/34.19 (define @t95 () (= @t86 |tptp.'0'|)) % 33.91/34.19 (define @t96 () (= @t85 tptp.nil)) % 33.91/34.19 (define @t97 () (tptp.s @t3)) % 33.91/34.19 (define @t98 () (= @t86 @t97)) % 33.91/34.19 (define @t99 () (tptp.cons @t1 @t4)) % 33.91/34.19 (define @t100 () (= @t85 @t99)) % 33.91/34.19 (define @t101 () (@list @t1 @t4 @t3)) % 33.91/34.19 (define @t102 () (@list @t85 @t86)) % 33.91/34.19 (define @t103 () (not @t96)) % 33.91/34.19 (define @t104 () (not @t98)) % 33.91/34.19 (define @t105 () (not @t100)) % 33.91/34.19 (define @t106 () (or @t103 true)) % 33.91/34.19 (define @t107 () (= @t1 @t86)) % 33.91/34.19 (define @t108 () (and @t96 @t107)) % 33.91/34.19 (define @t109 () (tptp.append_succeeds @t3 @t86 @t7)) % 33.91/34.19 (define @t110 () (= @t85 @t5)) % 33.91/34.19 (define @t111 () (and @t110 @t89 @t109)) % 33.91/34.19 (define @t112 () (exists @t91 @t111)) % 33.91/34.19 (define @t113 () (or @t112 @t108)) % 33.91/34.19 (define @t114 () (tptp.append_succeeds @t85 @t86 @t1)) % 33.91/34.19 (define @t115 () (= @t114 @t113)) % 33.91/34.19 (define @t116 () (forall @t92 @t115)) % 33.91/34.19 (define @t117 () (not @t107)) % 33.91/34.19 (define @t118 () (not @t110)) % 33.91/34.19 (define @t119 () (= @t86 (tptp.cons @t85 @t3))) % 33.91/34.19 (define @t120 () (@list @t3)) % 33.91/34.19 (define @t121 () (= @t86 @t99)) % 33.91/34.19 (define @t122 () (@list @t1 @t4)) % 33.91/34.19 (define @t123 () (not @t121)) % 33.91/34.19 (define @t124 () (= @t85 (tptp.cons @t86 @t1))) % 33.91/34.19 (define @t125 () (@list @t86 @t1)) % 33.91/34.19 (define @t126 () (@list @t85)) % 33.91/34.19 (define @t127 () (not @t124)) % 33.91/34.19 (define @t128 () (tptp.nat_succeeds @t86)) % 33.91/34.19 (define @t129 () (tptp.nat_fails @t86)) % 33.91/34.19 (define @t130 () (tptp.nat_terminates @t86)) % 33.91/34.19 (define @t131 () (= @t1 |tptp.'0'|)) % 33.91/34.19 (define @t132 () (= @t85 |tptp.'0'|)) % 33.91/34.19 (define @t133 () (tptp.s @t4)) % 33.91/34.19 (define @t134 () (= @t85 @t133)) % 33.91/34.19 (define @t135 () (not @t132)) % 33.91/34.19 (define @t136 () (tptp.times_fails @t4 @t86 @t3)) % 33.91/34.19 (define @t137 () (not @t134)) % 33.91/34.19 (define @t138 () (or @t135 true)) % 33.91/34.19 (define @t139 () (= @t1 @t97)) % 33.91/34.19 (define @t140 () (not @t139)) % 33.91/34.19 (define @t141 () (= @t86 @t133)) % 33.91/34.19 (define @t142 () (= @t85 @t2)) % 33.91/34.19 (define @t143 () (not @t141)) % 33.91/34.19 (define @t144 () (not @t142)) % 33.91/34.19 (define @t145 () (= @t85 (tptp.s @t86))) % 33.91/34.19 (define @t146 () (@list @t86)) % 33.91/34.19 (define @t147 () (tptp.nat_succeeds @t85)) % 33.91/34.19 (define @t148 () (not @t145)) % 33.91/34.19 (define @t149 () (@var "Xx" $$unsorted)) % 33.91/34.19 (define @t150 () (tptp.nat_succeeds @t149)) % 33.91/34.19 (define @t151 () (@list @t149)) % 33.91/34.19 (define @t152 () (tptp.gr @t149)) % 33.91/34.19 (define @t153 () (@var "Xz" $$unsorted)) % 33.91/34.19 (define @t154 () (@var "Xy" $$unsorted)) % 33.91/34.19 (define @t155 () (tptp.plus_terminates @t149 @t154 @t153)) % 33.91/34.19 (define @t156 () (@list @t149 @t154 @t153)) % 33.91/34.19 (define @t157 () (tptp.nat_succeeds @t153)) % 33.91/34.19 (define @t158 () (tptp.plus_succeeds @t149 @t154 @t153)) % 33.91/34.19 (define @t159 () (tptp.nat_succeeds @t154)) % 33.91/34.19 (define @t160 () (tptp.gr @t153)) % 33.91/34.19 (define @t161 () (tptp.gr @t154)) % 33.91/34.19 (define @t162 () (@list @t153)) % 33.91/34.19 (define @t163 () (@list @t149 @t154)) % 33.91/34.19 (define @t164 () (@var "Xz2" $$unsorted)) % 33.91/34.19 (define @t165 () (@var "Xz1" $$unsorted)) % 33.91/34.19 (define @t166 () (= @t165 @t164)) % 33.91/34.19 (define @t167 () (@list @t149 @t154 @t165 @t164)) % 33.91/34.19 (define @t168 () (@list @t154)) % 33.91/34.19 (define @t169 () (|tptp.'@+'| @t149 @t154)) % 33.91/34.19 (define @t170 () (tptp.s @t149)) % 33.91/34.19 (define @t171 () (|tptp.'@+'| @t170 @t154)) % 33.91/34.19 (define @t172 () (and @t150 @t159)) % 33.91/34.19 (define @t173 () (|tptp.'@+'| @t154 @t153)) % 33.91/34.19 (define @t174 () (and @t150 @t159 @t157)) % 33.91/34.19 (define @t175 () (tptp.s @t154)) % 33.91/34.19 (define @t176 () (|tptp.'@+'| @t149 @t175)) % 33.91/34.19 (define @t177 () (|tptp.'@+'| @t154 @t149)) % 33.91/34.19 (define @t178 () (|tptp.'@+'| @t149 @t153)) % 33.91/34.19 (define @t179 () (tptp.times_succeeds @t149 @t154 @t153)) % 33.91/34.19 (define @t180 () (|tptp.'@*'| @t149 @t154)) % 33.91/34.19 (define @t181 () (|tptp.'@*'| @t170 @t154)) % 33.91/34.19 (define @t182 () (|tptp.'@*'| @t154 @t153)) % 33.91/34.19 (define @t183 () (|tptp.'@*'| @t149 @t153)) % 33.91/34.19 (define @t184 () (|tptp.'@*'| @t154 @t149)) % 33.91/34.19 (define @t185 () (tptp.s |tptp.'0'|)) % 33.91/34.19 (define @t186 () (|tptp.'@<_terminates'| @t149 @t154)) % 33.91/34.19 (define @t187 () (|tptp.'@<_succeeds'| @t149 @t154)) % 33.91/34.19 (define @t188 () (tptp.s @t153)) % 33.91/34.19 (define @t189 () (|tptp.'@<_succeeds'| @t149 @t153)) % 33.91/34.19 (define @t190 () (|tptp.'@<_succeeds'| @t149 @t175)) % 33.91/34.19 (define @t191 () (|tptp.'@<_succeeds'| @t154 @t153)) % 33.91/34.19 (define @t192 () (= @t149 @t154)) % 33.91/34.19 (define @t193 () (or @t187 @t192)) % 33.91/34.19 (define @t194 () (not (= @t149 |tptp.'0'|))) % 33.91/34.19 (define @t195 () (|tptp.'@=<_succeeds'| @t149 @t154)) % 33.91/34.19 (define @t196 () (|tptp.'@=<_succeeds'| @t154 @t149)) % 33.91/34.19 (define @t197 () (|tptp.'@=<_succeeds'| @t154 @t153)) % 33.91/34.19 (define @t198 () (|tptp.'@<_succeeds'| @t169 @t178)) % 33.91/34.19 (define @t199 () (|tptp.'@<_succeeds'| @t178 @t173)) % 33.91/34.19 (define @t200 () (|tptp.'@=<_succeeds'| @t169 @t178)) % 33.91/34.19 (define @t201 () (and @t195 @t159 @t157)) % 33.91/34.19 (define @t202 () (@var "Xy2" $$unsorted)) % 33.91/34.19 (define @t203 () (@var "Xy1" $$unsorted)) % 33.91/34.19 (define @t204 () (|tptp.'@+'| @t203 @t202)) % 33.91/34.19 (define @t205 () (|tptp.'@+'| @t85 @t86)) % 33.91/34.19 (define @t206 () (tptp.nat_succeeds @t203)) % 33.91/34.19 (define @t207 () (|tptp.'@=<_succeeds'| @t86 @t202)) % 33.91/34.19 (define @t208 () (|tptp.'@=<_succeeds'| @t85 @t203)) % 33.91/34.19 (define @t209 () (@list @t85 @t86 @t203 @t202)) % 33.91/34.19 (define @t210 () (|tptp.'@<_succeeds'| @t205 @t204)) % 33.91/34.19 (define @t211 () (|tptp.'@<_succeeds'| @t85 @t203)) % 33.91/34.19 (define @t212 () (|tptp.'@<_succeeds'| @t86 @t202)) % 33.91/34.19 (define @t213 () (@var "Xl3" $$unsorted)) % 33.91/34.19 (define @t214 () (@var "Xl2" $$unsorted)) % 33.91/34.19 (define @t215 () (@var "Xl1" $$unsorted)) % 33.91/34.19 (define @t216 () (tptp.append_succeeds @t215 @t214 @t213)) % 33.91/34.19 (define @t217 () (|tptp.'**'| @t215 @t214)) % 33.91/34.19 (define @t218 () (tptp.list_succeeds @t215)) % 33.91/34.19 (define @t219 () (@list @t215 @t214 @t213)) % 33.91/34.19 (define @t220 () (@var "Xn" $$unsorted)) % 33.91/34.19 (define @t221 () (@var "Xl" $$unsorted)) % 33.91/34.19 (define @t222 () (tptp.length_succeeds @t221 @t220)) % 33.91/34.19 (define @t223 () (tptp.lh @t221)) % 33.91/34.19 (define @t224 () (tptp.list_succeeds @t221)) % 33.91/34.19 (define @t225 () (@list @t221 @t220)) % 33.91/34.19 (define @t226 () (tptp.member_succeeds @t149 @t214)) % 33.91/34.19 (define @t227 () (tptp.member_succeeds @t149 @t215)) % 33.91/34.19 (define @t228 () (@list @t215 @t214)) % 33.91/34.19 (define @t229 () (tptp.cons @t149 @t221)) % 33.91/34.19 (define @t230 () (@list @t149 @t221)) % 33.91/34.19 (define @t231 () (@list @t221)) % 33.91/34.19 (define @t232 () (tptp.member_succeeds @t149 @t221)) % 33.91/34.19 (define @t233 () (tptp.list_succeeds @t213)) % 33.91/34.19 (define @t234 () (tptp.list_succeeds @t214)) % 33.91/34.19 (define @t235 () (and @t216 @t233)) % 33.91/34.19 (define @t236 () (and @t218 @t234)) % 33.91/34.19 (define @t237 () (tptp.append_terminates @t215 @t214 @t213)) % 33.91/34.19 (define @t238 () (tptp.gr @t213)) % 33.91/34.19 (define @t239 () (tptp.gr @t214)) % 33.91/34.19 (define @t240 () (tptp.gr @t215)) % 33.91/34.19 (define @t241 () (and @t240 @t239)) % 33.91/34.19 (define @t242 () (@var "Xl4" $$unsorted)) % 33.91/34.19 (define @t243 () (@list @t215 @t214 @t213 @t242)) % 33.91/34.19 (define @t244 () (@list @t149 @t215 @t214)) % 33.91/34.19 (define @t245 () (tptp.list_succeeds @t217)) % 33.91/34.19 (define @t246 () (tptp.gr @t217)) % 33.91/34.19 (define @t247 () (|tptp.'**'| @t214 @t213)) % 33.91/34.19 (define @t248 () (@var "Xm" $$unsorted)) % 33.91/34.19 (define @t249 () (tptp.lh @t229)) % 33.91/34.19 (define @t250 () (tptp.cons @t149 @t214)) % 33.91/34.19 (define @t251 () (tptp.lh @t215)) % 33.91/34.19 (define @t252 () (tptp.lh @t214)) % 33.91/34.19 (define @t253 () (|tptp.'@+'| @t251 @t252)) % 33.91/34.19 (define @t254 () (tptp.lh @t217)) % 33.91/34.19 (define @t255 () (tptp.lh @t213)) % 33.91/34.19 (define @t256 () (@var "Xi" $$unsorted)) % 33.91/34.19 (define @t257 () (tptp.cons @t149 @t256)) % 33.91/34.19 (define @t258 () (@var "Xk" $$unsorted)) % 33.91/34.19 (define @t259 () (@var "Xj" $$unsorted)) % 33.91/34.19 (define @t260 () (tptp.sub @t256 @t259)) % 33.91/34.19 (define @t261 () (@list @t149 @t256 @t259)) % 33.91/34.19 (define @t262 () (tptp.append_succeeds @t215 @t250 @t213)) % 33.91/34.19 (define @t263 () (tptp.member_succeeds @t149 @t213)) % 33.91/34.19 (define @t264 () (@list @t149 @t215 @t214 @t213)) % 33.91/34.19 (define @t265 () (tptp.member_succeeds @t149 @t217)) % 33.91/34.19 (define @t266 () (or @t227 @t226)) % 33.91/34.19 (define @t267 () (= @t215 tptp.nil)) % 33.91/34.19 (define @t268 () (= @t214 @t242)) % 33.91/34.19 (define @t269 () (tptp.append_succeeds @t215 @t242 @t213)) % 33.91/34.19 (define @t270 () (@list @t242)) % 33.91/34.19 (define @t271 () (forall @t270 (=> @t269 @t268))) % 33.91/34.19 (define @t272 () (=> @t216 @t271)) % 33.91/34.19 (define @t273 () (forall @t219 @t272)) % 33.91/34.19 (define @t274 () (and @t267 (= @t213 @t214))) % 33.91/34.19 (define @t275 () (tptp.append_succeeds @t3 @t242 @t7)) % 33.91/34.19 (define @t276 () (forall @t270 (=> @t275 @t268))) % 33.91/34.19 (define @t277 () (tptp.append_succeeds @t3 @t214 @t7)) % 33.91/34.19 (define @t278 () (and (= @t215 @t5) (= @t213 @t88) @t277 @t276)) % 33.91/34.19 (define @t279 () (exists @t91 @t278)) % 33.91/34.19 (define @t280 () (or @t279 @t274)) % 33.91/34.19 (define @t281 () (=> @t280 @t271)) % 33.91/34.19 (define @t282 () (forall @t219 @t281)) % 33.91/34.19 (define @t283 () (=> @t282 @t273)) % 33.91/34.19 (define @t284 () (and @t216 @t269)) % 33.91/34.19 (define @t285 () (forall @t243 (=> @t284 @t268))) % 33.91/34.19 (define @t286 () (not @t285)) % 33.91/34.19 (define @t287 () (@var "BOUND_VARIABLE_9918" $$unsorted)) % 33.91/34.19 (define @t288 () (= @t214 @t287)) % 33.91/34.19 (define @t289 () (not (tptp.append_succeeds @t215 @t287 @t213))) % 33.91/34.19 (define @t290 () (= @t214 @t213)) % 33.91/34.19 (define @t291 () (= tptp.nil @t215)) % 33.91/34.19 (define @t292 () (or (not @t291) (not @t290))) % 33.91/34.19 (define @t293 () (@var "BOUND_VARIABLE_9901" $$unsorted)) % 33.91/34.19 (define @t294 () (@var "BOUND_VARIABLE_9899" $$unsorted)) % 33.91/34.19 (define @t295 () (not (forall @t270 (or (not (tptp.append_succeeds @t294 @t242 @t293)) @t268)))) % 33.91/34.19 (define @t296 () (not (tptp.append_succeeds @t294 @t214 @t293))) % 33.91/34.19 (define @t297 () (@var "BOUND_VARIABLE_9897" $$unsorted)) % 33.91/34.19 (define @t298 () (tptp.cons @t297 @t293)) % 33.91/34.19 (define @t299 () (tptp.cons @t297 @t294)) % 33.91/34.19 (define @t300 () (@list @t215 @t214 @t213 @t297 @t294 @t293 @t287)) % 33.91/34.19 (define @t301 () (forall @t300 (or (and (or (not (= @t215 @t299)) (not (= @t213 @t298)) @t296 @t295) @t292) @t289 @t288))) % 33.91/34.19 (define @t302 () (@quantifiers_skolemize @t301 4)) % 33.91/34.19 (define @t303 () (@quantifiers_skolemize @t301 3)) % 33.91/34.19 (define @t304 () (@quantifiers_skolemize @t301 0)) % 33.91/34.19 (define @t305 () (= tptp.nil @t304)) % 33.91/34.19 (define @t306 () (not @t305)) % 33.91/34.19 (define @t307 () (tptp.cons @t303 @t302)) % 33.91/34.19 (define @t308 () (= tptp.nil @t307)) % 33.91/34.19 (define @t309 () (= @t304 @t307)) % 33.91/34.19 (define @t310 () (not @t309)) % 33.91/34.19 (define @t311 () (not @t308)) % 33.91/34.19 (define @t312 () (and @t309 @t311)) % 33.91/34.19 (define @t313 () (@quantifiers_skolemize @t301 2)) % 33.91/34.19 (define @t314 () (@quantifiers_skolemize @t301 1)) % 33.91/34.19 (define @t315 () (= @t314 @t313)) % 33.91/34.19 (define @t316 () (not @t315)) % 33.91/34.19 (define @t317 () (or @t306 @t316)) % 33.91/34.19 (define @t318 () (@quantifiers_skolemize @t301 6)) % 33.91/34.19 (define @t319 () (= @t313 @t318)) % 33.91/34.19 (define @t320 () (and @t305 @t319)) % 33.91/34.19 (define @t321 () (not @t320)) % 33.91/34.19 (define @t322 () (not @t269)) % 33.91/34.19 (define @t323 () (not @t216)) % 33.91/34.19 (define @t324 () (or @t323 @t322 @t268)) % 33.91/34.19 (define @t325 () (@var "BOUND_VARIABLE_12024" $$unsorted)) % 33.91/34.19 (define @t326 () (@var "BOUND_VARIABLE_12023" $$unsorted)) % 33.91/34.19 (define @t327 () (@var "BOUND_VARIABLE_12026" $$unsorted)) % 33.91/34.19 (define @t328 () (@var "BOUND_VARIABLE_12025" $$unsorted)) % 33.91/34.19 (define @t329 () (@list @t326 @t325 @t328 @t327)) % 33.91/34.19 (define @t330 () (@var "BOUND_VARIABLE_9940" $$unsorted)) % 33.91/34.19 (define @t331 () (= @t214 @t330)) % 33.91/34.19 (define @t332 () (not (tptp.append_succeeds @t215 @t330 @t213))) % 33.91/34.19 (define @t333 () (or @t323 @t332 @t331)) % 33.91/34.19 (define @t334 () (@list @t215 @t214 @t213 @t330)) % 33.91/34.19 (define @t335 () (forall @t334 @t333)) % 33.91/34.19 (define @t336 () (not @t335)) % 33.91/34.19 (define @t337 () (forall @t243 @t324)) % 33.91/34.19 (define @t338 () (@list true)) % 33.91/34.19 (define @t339 () (or @t332 @t331)) % 33.91/34.19 (define @t340 () (or @t323 @t339)) % 33.91/34.19 (define @t341 () (forall @t334 @t340)) % 33.91/34.19 (define @t342 () (@list @t330)) % 33.91/34.19 (define @t343 () (forall @t342 @t340)) % 33.91/34.19 (define @t344 () (forall @t342 @t339)) % 33.91/34.19 (define @t345 () (@list @t242)) % 33.91/34.19 (define @t346 () (or @t323 @t344)) % 33.91/34.19 (define @t347 () (forall @t270 (or @t322 @t268))) % 33.91/34.19 (define @t348 () (not (= @t298 @t213))) % 33.91/34.19 (define @t349 () (not (= @t299 @t215))) % 33.91/34.19 (define @t350 () (or @t349 @t348 @t296 @t295)) % 33.91/34.19 (define @t351 () (and @t350 @t292)) % 33.91/34.19 (define @t352 () (or @t351 @t289 @t288)) % 33.91/34.19 (define @t353 () (or @t289 @t288)) % 33.91/34.19 (define @t354 () (or @t351 @t353)) % 33.91/34.19 (define @t355 () (forall @t300 @t354)) % 33.91/34.19 (define @t356 () (forall (@list @t297 @t294 @t293 @t287) @t354)) % 33.91/34.19 (define @t357 () (forall (@list @t287) @t353)) % 33.91/34.19 (define @t358 () (@list @t297 @t294 @t293)) % 33.91/34.19 (define @t359 () (forall @t358 @t292)) % 33.91/34.19 (define @t360 () (forall @t358 @t350)) % 33.91/34.19 (define @t361 () (and @t360 @t359)) % 33.91/34.19 (define @t362 () (forall @t358 @t351)) % 33.91/34.19 (define @t363 () (or @t362 @t357)) % 33.91/34.19 (define @t364 () (forall @t270 (or (not @t275) @t268))) % 33.91/34.19 (define @t365 () (not @t364)) % 33.91/34.19 (define @t366 () (not @t277)) % 33.91/34.19 (define @t367 () (= @t88 @t213)) % 33.91/34.19 (define @t368 () (not @t367)) % 33.91/34.19 (define @t369 () (= @t5 @t215)) % 33.91/34.19 (define @t370 () (not @t369)) % 33.91/34.19 (define @t371 () (or @t370 @t368 @t366 @t365)) % 33.91/34.19 (define @t372 () (forall @t91 @t371)) % 33.91/34.19 (define @t373 () (and @t291 @t290)) % 33.91/34.19 (define @t374 () (not @t373)) % 33.91/34.19 (define @t375 () (not @t372)) % 33.91/34.19 (define @t376 () (or @t375 @t373)) % 33.91/34.19 (define @t377 () (and @t369 @t367 @t277 @t364)) % 33.91/34.19 (define @t378 () (forall @t91 (not @t377))) % 33.91/34.19 (define @t379 () (not @t378)) % 33.91/34.19 (define @t380 () (not @t301)) % 33.91/34.19 (define @t381 () (= @t314 @t318)) % 33.91/34.19 (define @t382 () (tptp.append_succeeds @t304 @t318 @t313)) % 33.91/34.19 (define @t383 () (not @t382)) % 33.91/34.19 (define @t384 () (@quantifiers_skolemize @t301 5)) % 33.91/34.19 (define @t385 () (not (tptp.append_succeeds @t302 @t242 @t384))) % 33.91/34.19 (define @t386 () (forall @t270 (or @t385 (= @t242 @t314)))) % 33.91/34.19 (define @t387 () (not @t386)) % 33.91/34.19 (define @t388 () (not (tptp.append_succeeds @t302 @t314 @t384))) % 33.91/34.19 (define @t389 () (tptp.cons @t303 @t384)) % 33.91/34.19 (define @t390 () (= @t313 @t389)) % 33.91/34.19 (define @t391 () (not @t390)) % 33.91/34.19 (define @t392 () (or @t310 @t391 @t388 @t387)) % 33.91/34.19 (define @t393 () (and @t392 @t317)) % 33.91/34.19 (define @t394 () (or @t393 @t383 @t381)) % 33.91/34.19 (define @t395 () (not @t394)) % 33.91/34.19 (define @t396 () (or @t385 (= @t314 @t242))) % 33.91/34.19 (define @t397 () (forall @t270 @t396)) % 33.91/34.19 (define @t398 () (not @t397)) % 33.91/34.19 (define @t399 () (or @t310 @t391 @t388 @t398)) % 33.91/34.19 (define @t400 () (and @t399 @t317)) % 33.91/34.19 (define @t401 () (or @t400 @t383 @t381)) % 33.91/34.19 (define @t402 () (not @t401)) % 33.91/34.19 (define @t403 () (@list @t394)) % 33.91/34.19 (define @t404 () (not @t109)) % 33.91/34.19 (define @t405 () (= @t5 @t85)) % 33.91/34.19 (define @t406 () (not @t405)) % 33.91/34.19 (define @t407 () (or @t406 @t93 @t404)) % 33.91/34.19 (define @t408 () (and @t405 @t89 @t109)) % 33.91/34.19 (define @t409 () (forall @t91 (not @t408))) % 33.91/34.19 (define @t410 () (not @t409)) % 33.91/34.19 (define @t411 () (not (tptp.append_succeeds @t3 @t318 @t7))) % 33.91/34.19 (define @t412 () (not (= @t313 @t88))) % 33.91/34.19 (define @t413 () (not (= @t5 @t304))) % 33.91/34.19 (define @t414 () (or @t413 @t412 @t411)) % 33.91/34.19 (define @t415 () (forall @t91 @t414)) % 33.91/34.19 (define @t416 () (not @t415)) % 33.91/34.19 (define @t417 () (or @t416 @t320)) % 33.91/34.19 (define @t418 () (= @t382 @t417)) % 33.91/34.19 (define @t419 () (forall @t92 (= @t114 (or (not (forall @t91 @t407)) (and (= tptp.nil @t85) @t107))))) % 33.91/34.19 (define @t420 () (forall @t91 (or @t413 (not (= @t88 @t313)) @t411))) % 33.91/34.19 (define @t421 () (not @t420)) % 33.91/34.19 (define @t422 () (or @t421 @t320)) % 33.91/34.19 (define @t423 () (= @t382 @t422)) % 33.91/34.19 (define @t424 () (@quantifiers_skolemize @t420 2)) % 33.91/34.19 (define @t425 () (@quantifiers_skolemize @t420 1)) % 33.91/34.19 (define @t426 () (tptp.append_succeeds @t425 @t318 @t424)) % 33.91/34.19 (define @t427 () (not @t426)) % 33.91/34.19 (define @t428 () (@quantifiers_skolemize @t420 0)) % 33.91/34.19 (define @t429 () (tptp.cons @t428 @t424)) % 33.91/34.19 (define @t430 () (= @t313 @t429)) % 33.91/34.19 (define @t431 () (not @t430)) % 33.91/34.19 (define @t432 () (tptp.cons @t428 @t425)) % 33.91/34.19 (define @t433 () (= @t304 @t432)) % 33.91/34.19 (define @t434 () (not @t433)) % 33.91/34.19 (define @t435 () (or @t434 @t431 @t427)) % 33.91/34.19 (define @t436 () (not @t435)) % 33.91/34.19 (define @t437 () (not (= @t429 @t313))) % 33.91/34.20 (define @t438 () (not (= @t432 @t304))) % 33.91/34.20 (define @t439 () (or @t438 @t437 @t427)) % 33.91/34.20 (define @t440 () (not @t439)) % 33.91/34.20 (define @t441 () (= @t307 @t432)) % 33.91/34.20 (define @t442 () (and @t309 @t433)) % 33.91/34.20 (define @t443 () (= @t389 @t429)) % 33.91/34.20 (define @t444 () (and @t390 @t430)) % 33.91/34.20 (define @t445 () (= @t302 @t425)) % 33.91/34.20 (define @t446 () (not @t441)) % 33.91/34.20 (define @t447 () (or @t446 @t445)) % 33.91/34.20 (define @t448 () (= @t384 @t424)) % 33.91/34.20 (define @t449 () (not @t443)) % 33.91/34.20 (define @t450 () (or @t449 @t448)) % 33.91/34.20 (define @t451 () (tptp.append_succeeds @t302 @t318 @t384)) % 33.91/34.20 (define @t452 () (not @t451)) % 33.91/34.20 (define @t453 () (or @t452 (= @t318 @t314))) % 33.91/34.20 (define @t454 () (not @t381)) % 33.91/34.20 (define @t455 () (or @t452 @t381)) % 33.91/34.20 (define @t456 () (not @t448)) % 33.91/34.20 (define @t457 () (not @t445)) % 33.91/34.20 (define @t458 () (= true false)) % 33.91/34.20 (define @t459 () (and @t452 @t445 @t448 @t426)) % 33.91/34.20 (define @t460 () (@list true false)) % 33.91/34.20 (define @t461 () (@list @t317)) % 33.91/34.20 (define @t462 () (not @t319)) % 33.91/34.20 (define @t463 () (and @t315 @t454)) % 33.91/34.20 (define @t464 () (= tptp.nil @t432)) % 33.91/34.20 (define @t465 () (not @t464)) % 33.91/34.20 (define @t466 () (and @t465 @t433 @t305)) % 33.91/34.20 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 33.91/34.20 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 33.91/34.20 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 33.91/34.20 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 33.91/34.20 (assume @p5 (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 33.91/34.20 (assume @p6 (forall (@list @t11 @t10) (=> (= (tptp.s @t11) (tptp.s @t10)) (= @t11 @t10)))) % 33.91/34.20 (assume @p7 (forall (@list @t14 @t13 @t12) (not (= (tptp.s @t14) (tptp.cons @t13 @t12))))) % 33.91/34.20 (assume @p8 @t21) % 33.91/34.20 (assume @p9 (forall (@list @t23 @t25 @t22 @t24) (=> (= (tptp.cons @t23 @t25) (tptp.cons @t22 @t24)) (= @t23 @t22)))) % 33.91/34.20 (assume @p10 (tptp.gr |tptp.'0'|)) % 33.91/34.20 (assume @p11 (tptp.gr tptp.nil)) % 33.91/34.20 (assume @p12 (forall (@list @t26) (= (tptp.gr @t26) (tptp.gr (tptp.s @t26))))) % 33.91/34.20 (assume @p13 (forall (@list @t28 @t27) (= (and (tptp.gr @t28) (tptp.gr @t27)) (tptp.gr (tptp.cons @t28 @t27))))) % 33.91/34.20 (assume @p14 (forall @t34 (not (and @t33 @t32)))) % 33.91/34.20 (assume @p15 (forall @t34 (=> (tptp.delete_terminates @t31 @t30 @t29) (or @t33 @t32)))) % 33.91/34.20 (assume @p16 (forall @t39 (not (and @t38 @t37)))) % 33.91/34.20 (assume @p17 (forall @t39 (=> (tptp.length_terminates @t36 @t35) (or @t38 @t37)))) % 33.91/34.20 (assume @p18 (forall @t45 (not (and @t44 @t43)))) % 33.91/34.20 (assume @p19 (forall @t45 (=> (tptp.append_terminates @t42 @t41 @t40) (or @t44 @t43)))) % 33.91/34.20 (assume @p20 (forall @t50 (not (and @t49 @t48)))) % 33.91/34.20 (assume @p21 (forall @t50 (=> (tptp.member_terminates @t47 @t46) (or @t49 @t48)))) % 33.91/34.20 (assume @p22 (forall @t54 (not (and @t53 @t52)))) % 33.91/34.20 (assume @p23 (forall @t54 (=> (tptp.list_terminates @t51) (or @t53 @t52)))) % 33.91/34.20 (assume @p24 (forall @t58 (not (and @t57 @t56)))) % 33.91/34.20 (assume @p25 (forall @t58 (=> (tptp.nat_list_terminates @t55) (or @t57 @t56)))) % 33.91/34.20 (assume @p26 (forall @t64 (not (and @t63 @t62)))) % 33.91/34.20 (assume @p27 (forall @t64 (=> (tptp.times_terminates @t61 @t60 @t59) (or @t63 @t62)))) % 33.91/34.20 (assume @p28 (forall @t70 (not (and @t69 @t68)))) % 33.91/34.20 (assume @p29 (forall @t70 (=> (tptp.plus_terminates @t67 @t66 @t65) (or @t69 @t68)))) % 33.91/34.20 (assume @p30 (forall @t75 (not (and @t74 @t73)))) % 33.91/34.20 (assume @p31 (forall @t75 (=> (|tptp.'@=<_terminates'| @t72 @t71) (or @t74 @t73)))) % 33.91/34.20 (assume @p32 (forall @t80 (not (and @t79 @t78)))) % 33.91/34.20 (assume @p33 (forall @t80 (=> (|tptp.'@<_terminates'| @t77 @t76) (or @t79 @t78)))) % 33.91/34.20 (assume @p34 (forall @t84 (not (and @t83 @t82)))) % 33.91/34.20 (assume @p35 (forall @t84 (=> (tptp.nat_terminates @t81) (or @t83 @t82)))) % 33.91/34.20 (assume @p36 (forall @t92 (= (tptp.delete_succeeds @t85 @t86 @t1) (or (exists @t91 (and @t90 @t89 (tptp.delete_succeeds @t85 @t3 @t7))) @t87)))) % 33.91/34.20 (assume @p37 (forall @t92 (= (tptp.delete_fails @t85 @t86 @t1) (and (forall @t91 (or @t94 @t93 (tptp.delete_fails @t85 @t3 @t7))) (not @t87))))) % 33.91/34.20 (assume @p38 (forall @t92 (= (tptp.delete_terminates @t85 @t86 @t1) (and (forall @t91 (and true (or @t94 (and true (or @t93 (tptp.delete_terminates @t85 @t3 @t7)))))) true)))) % 33.91/34.20 (assume @p39 (forall @t102 (= (tptp.length_succeeds @t85 @t86) (or (exists @t101 (and @t100 @t98 (tptp.length_succeeds @t4 @t3))) (and @t96 @t95))))) % 33.91/34.20 (assume @p40 (forall @t102 (= (tptp.length_fails @t85 @t86) (and (forall @t101 (or @t105 @t104 (tptp.length_fails @t4 @t3))) (or @t103 (not @t95)))))) % 33.91/34.20 (assume @p41 (forall @t102 (= (tptp.length_terminates @t85 @t86) (and (forall @t101 (and true (or @t105 (and true (or @t104 (tptp.length_terminates @t4 @t3)))))) true @t106)))) % 33.91/34.20 (assume @p42 @t116) % 33.91/34.20 (assume @p43 (forall @t92 (= (tptp.append_fails @t85 @t86 @t1) (and (forall @t91 (or @t118 @t93 (tptp.append_fails @t3 @t86 @t7))) (or @t103 @t117))))) % 33.91/34.20 (assume @p44 (forall @t92 (= (tptp.append_terminates @t85 @t86 @t1) (and (forall @t91 (and true (or @t118 (and true (or @t93 (tptp.append_terminates @t3 @t86 @t7)))))) true @t106)))) % 33.91/34.20 (assume @p45 (forall @t102 (= (tptp.member_succeeds @t85 @t86) (or (exists @t122 (and @t121 (tptp.member_succeeds @t85 @t4))) (exists @t120 @t119))))) % 33.91/34.20 (assume @p46 (forall @t102 (= (tptp.member_fails @t85 @t86) (and (forall @t122 (or @t123 (tptp.member_fails @t85 @t4))) (forall @t120 (not @t119)))))) % 33.91/34.20 (assume @p47 (forall @t102 (= (tptp.member_terminates @t85 @t86) (and (forall @t122 (and true (or @t123 (tptp.member_terminates @t85 @t4)))) (forall @t120 true))))) % 33.91/34.20 (assume @p48 (forall @t126 (= (tptp.list_succeeds @t85) (or (exists @t125 (and @t124 (tptp.list_succeeds @t1))) @t96)))) % 33.91/34.20 (assume @p49 (forall @t126 (= (tptp.list_fails @t85) (and (forall @t125 (or @t127 (tptp.list_fails @t1))) @t103)))) % 33.91/34.20 (assume @p50 (forall @t126 (= (tptp.list_terminates @t85) (and (forall @t125 (and true (or @t127 (tptp.list_terminates @t1)))) true)))) % 33.91/34.20 (assume @p51 (forall @t126 (= (tptp.nat_list_succeeds @t85) (or (exists @t125 (and @t124 @t128 (tptp.nat_list_succeeds @t1))) @t96)))) % 33.91/34.20 (assume @p52 (forall @t126 (= (tptp.nat_list_fails @t85) (and (forall @t125 (or @t127 @t129 (tptp.nat_list_fails @t1))) @t103)))) % 33.91/34.20 (assume @p53 (forall @t126 (= (tptp.nat_list_terminates @t85) (and (forall @t125 (and true (or @t127 (and @t130 (or @t129 (tptp.nat_list_terminates @t1)))))) true)))) % 33.91/34.20 (assume @p54 (forall @t92 (= (tptp.times_succeeds @t85 @t86 @t1) (or (exists @t6 (and @t134 (tptp.times_succeeds @t4 @t86 @t3) (tptp.plus_succeeds @t86 @t3 @t1))) (and @t132 @t131))))) % 33.91/34.20 (assume @p55 (forall @t92 (= (tptp.times_fails @t85 @t86 @t1) (and (forall @t6 (or @t137 @t136 (tptp.plus_fails @t86 @t3 @t1))) (or @t135 (not @t131)))))) % 33.91/34.20 (assume @p56 (forall @t92 (= (tptp.times_terminates @t85 @t86 @t1) (and (forall @t6 (and true (or @t137 (and (tptp.times_terminates @t4 @t86 @t3) (or @t136 (tptp.plus_terminates @t86 @t3 @t1)))))) true @t138)))) % 33.91/34.20 (assume @p57 (forall @t92 (= (tptp.plus_succeeds @t85 @t86 @t1) (or (exists @t6 (and @t134 @t139 (tptp.plus_succeeds @t4 @t86 @t3))) (and @t132 @t107))))) % 33.91/34.20 (assume @p58 (forall @t92 (= (tptp.plus_fails @t85 @t86 @t1) (and (forall @t6 (or @t137 @t140 (tptp.plus_fails @t4 @t86 @t3))) (or @t135 @t117))))) % 33.91/34.20 (assume @p59 (forall @t92 (= (tptp.plus_terminates @t85 @t86 @t1) (and (forall @t6 (and true (or @t137 (and true (or @t140 (tptp.plus_terminates @t4 @t86 @t3)))))) true @t138)))) % 33.91/34.20 (assume @p60 (forall @t102 (= (|tptp.'@=<_succeeds'| @t85 @t86) (or (exists @t122 (and @t142 @t141 (|tptp.'@=<_succeeds'| @t1 @t4))) @t132)))) % 33.91/34.20 (assume @p61 (forall @t102 (= (|tptp.'@=<_fails'| @t85 @t86) (and (forall @t122 (or @t144 @t143 (|tptp.'@=<_fails'| @t1 @t4))) @t135)))) % 33.91/34.20 (assume @p62 (forall @t102 (= (|tptp.'@=<_terminates'| @t85 @t86) (and (forall @t122 (and true (or @t144 (and true (or @t143 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 33.91/34.20 (assume @p63 (forall @t102 (= (|tptp.'@<_succeeds'| @t85 @t86) (or (exists @t122 (and @t142 @t141 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t120 (and @t132 @t98)))))) % 33.91/34.20 (assume @p64 (forall @t102 (= (|tptp.'@<_fails'| @t85 @t86) (and (forall @t122 (or @t144 @t143 (|tptp.'@<_fails'| @t1 @t4))) (forall @t120 (or @t135 @t104)))))) % 33.91/34.20 (assume @p65 (forall @t102 (= (|tptp.'@<_terminates'| @t85 @t86) (and (forall @t122 (and true (or @t144 (and true (or @t143 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t120 (and true @t138)))))) % 33.91/34.20 (assume @p66 (forall @t126 (= @t147 (or (exists @t146 (and @t145 @t128)) @t132)))) % 33.91/34.20 (assume @p67 (forall @t126 (= (tptp.nat_fails @t85) (and (forall @t146 (or @t148 @t129)) @t135)))) % 33.91/34.20 (assume @p68 (forall @t126 (= (tptp.nat_terminates @t85) (and (forall @t146 (and true (or @t148 @t130))) true)))) % 33.91/34.20 (assume @p69 (forall @t151 (=> @t150 (tptp.nat_terminates @t149)))) % 33.91/34.20 (assume @p70 (forall @t151 (=> @t150 @t152))) % 33.91/34.20 (assume @p71 (forall @t156 (=> @t150 @t155))) % 33.91/34.20 (assume @p72 (forall @t156 (=> @t157 @t155))) % 33.91/34.20 (assume @p73 (forall @t156 (=> @t158 @t150))) % 33.91/34.20 (assume @p74 (forall @t156 (=> (and @t158 @t159) @t157))) % 33.91/34.20 (assume @p75 (forall @t156 (=> (and @t158 @t157) @t159))) % 33.91/34.20 (assume @p76 (forall @t156 (=> @t158 @t155))) % 33.91/34.20 (assume @p77 (forall @t156 (=> @t158 @t152))) % 33.91/34.20 (assume @p78 (forall @t156 (=> (and @t158 @t161) @t160))) % 33.91/34.20 (assume @p79 (forall @t156 (=> (and @t158 @t160) @t161))) % 33.91/34.20 (assume @p80 (forall @t163 (=> @t150 (exists @t162 @t158)))) % 33.91/34.20 (assume @p81 (forall @t167 (=> (and (tptp.plus_succeeds @t149 @t154 @t165) (tptp.plus_succeeds @t149 @t154 @t164)) @t166))) % 33.91/34.20 (assume @p82 (forall @t168 (= (|tptp.'@+'| |tptp.'0'| @t154) @t154))) % 33.91/34.20 (assume @p83 (forall @t163 (=> @t150 (= @t171 (tptp.s @t169))))) % 33.91/34.20 (assume @p84 (forall @t163 (=> @t172 (tptp.nat_succeeds @t169)))) % 33.91/34.20 (assume @p85 (forall @t156 (=> @t174 (= (|tptp.'@+'| @t169 @t153) (|tptp.'@+'| @t149 @t173))))) % 33.91/34.20 (assume @p86 (forall @t151 (=> @t150 (= (|tptp.'@+'| @t149 |tptp.'0'|) @t149)))) % 33.91/34.20 (assume @p87 (forall @t163 (=> @t172 (= @t176 @t171)))) % 33.91/34.20 (assume @p88 (forall @t163 (=> @t172 (= @t169 @t177)))) % 33.91/34.20 (assume @p89 (forall @t156 (=> (and @t150 (= @t169 @t178)) (= @t154 @t153)))) % 33.91/34.20 (assume @p90 (forall @t156 (=> @t179 @t150))) % 33.91/34.20 (assume @p91 (forall @t156 (=> (and @t179 @t159) @t157))) % 33.91/34.20 (assume @p92 (forall @t156 (=> @t179 @t152))) % 33.91/34.20 (assume @p93 (forall @t156 (=> (and @t179 @t161) @t160))) % 33.91/34.20 (assume @p94 (forall @t156 (=> @t172 (tptp.times_terminates @t149 @t154 @t153)))) % 33.91/34.20 (assume @p95 (forall @t163 (=> @t172 (exists @t162 @t179)))) % 33.91/34.20 (assume @p96 (forall @t167 (=> (and (tptp.times_succeeds @t149 @t154 @t165) (tptp.times_succeeds @t149 @t154 @t164)) @t166))) % 33.91/34.20 (assume @p97 (forall @t168 (=> @t159 (= (|tptp.'@*'| |tptp.'0'| @t154) |tptp.'0'|)))) % 33.91/34.20 (assume @p98 (forall @t163 (=> @t172 (= @t181 (|tptp.'@+'| @t154 @t180))))) % 33.91/34.20 (assume @p99 (forall @t163 (=> @t172 (tptp.nat_succeeds @t180)))) % 33.91/34.20 (assume @p100 (forall @t156 (=> @t174 (= (|tptp.'@*'| @t169 @t153) (|tptp.'@+'| @t183 @t182))))) % 33.91/34.20 (assume @p101 (forall @t156 (=> @t174 (= (|tptp.'@*'| @t180 @t153) (|tptp.'@*'| @t149 @t182))))) % 33.91/34.20 (assume @p102 (forall @t151 (=> @t150 (= (|tptp.'@*'| @t149 |tptp.'0'|) |tptp.'0'|)))) % 33.91/34.20 (assume @p103 (forall (@list @t154 @t149) (=> (and @t159 @t150) (= (|tptp.'@+'| @t184 @t154) (|tptp.'@*'| @t154 @t170))))) % 33.91/34.20 (assume @p104 (forall @t163 (=> @t172 (= @t180 @t184)))) % 33.91/34.20 (assume @p105 (forall @t151 (=> @t150 (= (|tptp.'@*'| @t185 @t149) @t149)))) % 33.91/34.20 (assume @p106 (forall @t151 (=> @t150 (= (|tptp.'@*'| @t149 @t185) @t149)))) % 33.91/34.20 (assume @p107 (forall @t156 (=> @t174 (= (|tptp.'@*'| @t153 @t169) (|tptp.'@+'| (|tptp.'@*'| @t153 @t149) (|tptp.'@*'| @t153 @t154)))))) % 33.91/34.20 (assume @p108 (forall @t163 (=> @t150 @t186))) % 33.91/34.20 (assume @p109 (forall @t163 (=> @t159 @t186))) % 33.91/34.20 (assume @p110 (forall @t163 (=> @t187 @t150))) % 33.91/34.20 (assume @p111 (forall @t163 (=> @t187 (exists @t162 (= @t154 @t188))))) % 33.91/34.20 (assume @p112 (forall @t156 (=> (and @t187 (|tptp.'@<_succeeds'| @t154 @t188)) @t189))) % 33.91/34.20 (assume @p113 (forall @t163 (=> @t187 @t190))) % 33.91/34.20 (assume @p114 (forall @t156 (=> (and @t187 @t191) @t189))) % 33.91/34.20 (assume @p115 (forall @t151 (=> @t150 (|tptp.'@<_fails'| @t149 @t149)))) % 33.91/34.20 (assume @p116 (forall @t151 (=> @t150 (not (|tptp.'@<_succeeds'| @t149 @t149))))) % 33.91/34.20 (assume @p117 (forall @t151 (=> @t150 (|tptp.'@<_succeeds'| @t149 @t170)))) % 33.91/34.20 (assume @p118 (forall @t163 (=> (and @t159 @t190) @t193))) % 33.91/34.20 (assume @p119 (forall @t163 (=> @t172 (or @t187 @t192 (|tptp.'@<_succeeds'| @t154 @t149))))) % 33.91/34.20 (assume @p120 (forall @t151 (=> (and @t150 @t194) (|tptp.'@<_succeeds'| |tptp.'0'| @t149)))) % 33.91/34.20 (assume @p121 (forall @t163 (=> @t150 (|tptp.'@=<_terminates'| @t149 @t154)))) % 33.91/34.20 (assume @p122 (forall @t163 (=> @t195 @t150))) % 33.91/34.20 (assume @p123 (forall @t163 (=> @t195 (exists @t162 (tptp.plus_succeeds @t149 @t153 @t154))))) % 33.91/34.20 (assume @p124 (forall @t163 (=> @t195 (exists @t162 (= @t178 @t154))))) % 33.91/34.20 (assume @p125 (forall @t163 (=> @t187 (exists @t162 (tptp.plus_succeeds @t149 @t188 @t154))))) % 33.91/34.20 (assume @p126 (forall @t163 (=> @t187 (exists @t162 (= (|tptp.'@+'| @t149 @t188) @t154))))) % 33.91/34.20 (assume @p127 (forall @t163 (=> @t187 @t195))) % 33.91/34.20 (assume @p128 (forall @t151 (=> @t150 (|tptp.'@=<_succeeds'| @t149 @t149)))) % 33.91/34.20 (assume @p129 (forall @t163 (=> @t172 (or @t195 @t196)))) % 33.91/34.20 (assume @p130 (forall @t163 (=> @t172 (or @t187 @t196)))) % 33.91/34.20 (assume @p131 (forall @t163 (=> (and @t150 @t159 (|tptp.'@=<_fails'| @t149 @t154)) @t196))) % 33.91/34.20 (assume @p132 (forall @t163 (=> (and @t195 @t159) @t193))) % 33.91/34.20 (assume @p133 (forall @t156 (=> (and @t195 @t191) @t189))) % 33.91/34.20 (assume @p134 (forall @t156 (=> (and @t187 @t197) @t189))) % 33.91/34.20 (assume @p135 (forall @t156 (=> (and @t195 @t197) (|tptp.'@=<_succeeds'| @t149 @t153)))) % 33.91/34.20 (assume @p136 (forall @t163 (=> (and @t195 @t196) @t192))) % 33.91/34.20 (assume @p137 (forall @t151 (=> @t150 (|tptp.'@=<_succeeds'| @t149 @t170)))) % 33.91/34.20 (assume @p138 (forall @t151 (=> @t150 (|tptp.'@=<_fails'| @t170 @t149)))) % 33.91/34.20 (assume @p139 (forall @t156 (=> (and @t150 @t191) @t198))) % 33.91/34.20 (assume @p140 (forall @t163 (=> @t150 (|tptp.'@<_succeeds'| @t149 @t176)))) % 33.91/34.20 (assume @p141 (forall @t156 (=> (and @t187 @t159 @t157) @t199))) % 33.91/34.20 (assume @p142 (forall @t163 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t154) @t150 @t159) (|tptp.'@<_succeeds'| @t149 @t177)))) % 33.91/34.20 (assume @p143 (forall @t156 (=> (and @t150 @t197) @t200))) % 33.91/34.20 (assume @p144 (forall @t156 (=> @t201 (|tptp.'@=<_succeeds'| @t178 @t173)))) % 33.91/34.20 (assume @p145 (forall @t163 (=> @t150 (|tptp.'@=<_succeeds'| @t149 @t169)))) % 33.91/34.20 (assume @p146 (forall @t163 (=> @t172 (|tptp.'@=<_succeeds'| @t154 @t169)))) % 33.91/34.20 (assume @p147 (forall @t156 (=> (and @t150 @t198) @t191))) % 33.91/34.20 (assume @p148 (forall @t156 (=> (and @t150 @t159 @t157 @t199) @t187))) % 33.91/34.20 (assume @p149 (forall @t156 (=> (and @t150 @t200) @t197))) % 33.91/34.20 (assume @p150 (forall @t209 (=> (and @t208 @t207 @t206) (|tptp.'@=<_succeeds'| @t205 @t204)))) % 33.91/34.20 (assume @p151 (forall @t209 (=> (and @t211 @t207 @t206) @t210))) % 33.91/34.20 (assume @p152 (forall @t209 (=> (and @t208 @t212 @t206) @t210))) % 33.91/34.20 (assume @p153 (forall @t209 (=> (and @t211 @t212 @t206) @t210))) % 33.91/34.20 (assume @p154 (forall @t156 (=> (and @t150 @t197 @t157) (|tptp.'@=<_succeeds'| @t180 @t183)))) % 33.91/34.20 (assume @p155 (forall @t156 (=> @t201 (|tptp.'@=<_succeeds'| @t183 @t182)))) % 33.91/34.20 (assume @p156 (forall @t156 (=> (and @t150 @t194 @t191 @t157) (|tptp.'@<_succeeds'| @t180 @t183)))) % 33.91/34.20 (assume @p157 (forall @t156 (=> (and @t150 @t159 @t157 (|tptp.'@=<_succeeds'| @t181 (|tptp.'@*'| @t170 @t153))) @t197))) % 33.91/34.20 (assume @p158 (forall (@list @t85 @t86 @t154) (=> (and @t147 @t128 @t159 (= (|tptp.'@+'| @t85 @t154) (|tptp.'@+'| @t86 @t154))) (= @t85 @t86)))) % 33.91/34.20 (assume @p159 (forall @t219 (=> @t218 (= (= @t217 @t213) @t216)))) % 33.91/34.20 (assume @p160 (forall @t225 (=> @t224 (= (= @t223 @t220) @t222)))) % 33.91/34.20 (assume @p161 (forall @t228 (= (tptp.sub @t215 @t214) (forall @t151 (=> @t227 @t226))))) % 33.91/34.20 (assume @p162 (forall @t151 (tptp.list_succeeds (tptp.cons @t149 tptp.nil)))) % 33.91/34.20 (assume @p163 (forall @t163 (tptp.list_succeeds (tptp.cons @t149 (tptp.cons @t154 tptp.nil))))) % 33.91/34.20 (assume @p164 (forall @t156 (tptp.list_succeeds (tptp.cons @t149 (tptp.cons @t154 (tptp.cons @t153 tptp.nil)))))) % 33.91/34.20 (assume @p165 (forall @t230 (=> (tptp.list_succeeds @t229) @t224))) % 33.91/34.20 (assume @p166 (forall @t231 (=> @t224 (tptp.list_terminates @t221)))) % 33.91/34.20 (assume @p167 (forall @t230 (=> @t224 (tptp.member_terminates @t149 @t221)))) % 33.91/34.20 (assume @p168 (forall @t230 (=> @t224 (or @t232 (tptp.member_fails @t149 @t221))))) % 33.91/34.20 (assume @p169 (forall @t230 (=> (and @t232 (tptp.gr @t221)) @t152))) % 33.91/34.20 (assume @p170 (forall (@list @t149 @t154 @t153 @t221) (=> (and (tptp.member_succeeds @t149 (tptp.cons @t154 @t221)) (not @t192)) @t232))) % 33.91/34.20 (assume @p171 (forall @t219 (=> @t216 @t218))) % 33.91/34.20 (assume @p172 (forall @t219 (=> (and @t216 @t234) @t233))) % 33.91/34.20 (assume @p173 (forall @t219 (=> @t235 @t234))) % 33.91/34.20 (assume @p174 (forall @t219 (=> @t235 @t236))) % 33.91/34.20 (assume @p175 (forall @t219 (=> @t218 @t237))) % 33.91/34.20 (assume @p176 (forall @t219 (=> @t233 @t237))) % 33.91/34.20 (assume @p177 (forall @t219 (=> (and @t216 @t240 @t239) @t238))) % 33.91/34.20 (assume @p178 (forall @t219 (=> (and @t216 @t238) @t241))) % 33.91/34.20 (assume @p179 (forall @t228 (=> @t218 (exists (@list @t213) @t216)))) % 33.91/34.20 (assume @p180 (forall @t243 (=> (and @t216 (tptp.append_succeeds @t215 @t214 @t242)) (= @t213 @t242)))) % 33.91/34.20 (assume @p181 (forall @t231 (= (|tptp.'**'| tptp.nil @t221) @t221))) % 33.91/34.20 (assume @p182 (forall @t244 (=> @t218 (= (|tptp.'**'| (tptp.cons @t149 @t215) @t214) (tptp.cons @t149 @t217))))) % 33.91/34.20 (assume @p183 (forall @t228 (=> @t236 @t245))) % 33.91/34.20 (assume @p184 (forall @t228 (=> (and @t218 @t245) @t234))) % 33.91/34.20 (assume @p185 (forall @t228 (=> (and @t218 @t240 @t239) @t246))) % 33.91/34.20 (assume @p186 (forall @t228 (=> (and @t218 @t246) @t241))) % 33.91/34.20 (assume @p187 (forall @t219 (=> @t236 (= (|tptp.'**'| @t217 @t213) (|tptp.'**'| @t215 @t247))))) % 33.91/34.20 (assume @p188 (forall @t231 (=> @t224 (= (|tptp.'**'| @t221 tptp.nil) @t221)))) % 33.91/34.20 (assume @p189 (forall @t225 (=> @t222 (and @t224 (tptp.nat_succeeds @t220))))) % 33.91/34.20 (assume @p190 (forall @t225 (=> @t224 (tptp.length_terminates @t221 @t220)))) % 33.91/34.20 (assume @p191 (forall @t225 (=> @t222 (tptp.gr @t220)))) % 33.91/34.20 (assume @p192 (forall @t231 (=> @t224 (exists (@list @t220) @t222)))) % 33.91/34.20 (assume @p193 (forall (@list @t221 @t248 @t220) (=> (and (tptp.length_succeeds @t221 @t248) @t222) (= @t248 @t220)))) % 33.91/34.20 (assume @p194 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 33.91/34.20 (assume @p195 (forall @t230 (=> @t224 (= @t249 (tptp.s @t223))))) % 33.91/34.20 (assume @p196 (forall @t231 (=> @t224 (tptp.nat_succeeds @t223)))) % 33.91/34.20 (assume @p197 (forall @t231 (=> (and @t224 (= @t223 |tptp.'0'|)) (= @t221 tptp.nil)))) % 33.91/34.20 (assume @p198 (forall (@list @t220 @t215) (=> (and @t218 (= @t251 (tptp.s @t220))) (exists (@list @t149 @t214) (= @t215 @t250))))) % 33.91/34.20 (assume @p199 (forall @t228 (=> @t236 (= @t254 @t253)))) % 33.91/34.20 (assume @p200 (forall @t228 (=> @t236 (|tptp.'@=<_succeeds'| @t251 @t254)))) % 33.91/34.20 (assume @p201 (forall @t228 (=> @t236 (|tptp.'@=<_succeeds'| @t252 @t254)))) % 33.91/34.20 (assume @p202 (forall @t230 (=> @t224 (|tptp.'@=<_succeeds'| @t223 @t249)))) % 33.91/34.20 (assume @p203 (forall @t219 (=> @t235 (= @t253 @t255)))) % 33.91/34.20 (assume @p204 (forall @t219 (=> @t235 (|tptp.'@=<_succeeds'| @t251 @t255)))) % 33.91/34.20 (assume @p205 (forall @t219 (=> @t235 (|tptp.'@=<_succeeds'| @t252 @t255)))) % 33.91/34.20 (assume @p206 (forall (@list @t149 @t256) (tptp.sub @t256 @t257))) % 33.91/34.20 (assume @p207 (forall @t231 (tptp.sub @t221 @t221))) % 33.91/34.20 (assume @p208 (forall (@list @t256 @t259 @t258) (=> (and @t260 (tptp.sub @t259 @t258)) (tptp.sub @t256 @t258)))) % 33.91/34.20 (assume @p209 (forall @t231 (tptp.sub tptp.nil @t221))) % 33.91/34.20 (assume @p210 (forall @t261 (=> (and @t260 (tptp.member_succeeds @t149 @t259)) (tptp.sub @t257 @t259)))) % 33.91/34.20 (assume @p211 (forall @t261 (=> @t260 (tptp.sub @t257 (tptp.cons @t149 @t259))))) % 33.91/34.20 (assume @p212 (forall (@list @t149 @t213) (=> @t263 (exists @t228 @t262)))) % 33.91/34.20 (assume @p213 (forall @t264 (=> (and @t216 @t227) @t263))) % 33.91/34.20 (assume @p214 (forall @t264 (=> (and @t216 @t226) @t263))) % 33.91/34.20 (assume @p215 (forall @t244 (=> (and @t227 @t218) @t265))) % 33.91/34.20 (assume @p216 (forall @t244 (=> (and @t226 @t218) @t265))) % 33.91/34.20 (assume @p217 (forall @t264 (=> @t262 @t263))) % 33.91/34.20 (assume @p218 (forall @t264 (=> (and @t216 @t263) @t266))) % 33.91/34.20 (assume @p219 (forall @t244 (=> (and @t218 @t265) @t266))) % 33.91/34.20 (assume @p220 (forall @t228 (=> @t218 (tptp.sub @t215 @t217)))) % 33.91/34.20 (assume @p221 (forall @t228 (=> @t218 (tptp.sub @t214 @t217)))) % 33.91/34.20 (assume @p222 (forall @t264 (=> @t235 (not (= @t214 (tptp.cons @t149 @t213)))))) % 33.91/34.20 (assume @p223 (forall @t228 (=> (and (tptp.append_succeeds @t215 @t214 @t214) @t234) @t267))) % 33.91/34.20 (assume @p224 (forall @t243 (=> (and @t216 (tptp.append_succeeds @t242 @t214 @t213) @t233) (= @t215 @t242)))) % 33.91/34.20 (assume @p225 (forall @t219 (=> (and @t218 @t234 @t233 (= (|tptp.'**'| @t215 @t213) @t247)) (= @t215 @t214)))) % 33.91/34.20 (assume @p226 @t283) % 33.91/34.20 (assume @p227 @t286) % 33.91/34.20 (assume @p228 true) % 33.91/34.20 (step @p229 :rule instantiate :premises (@p5) :args ((@list @t303 @t302))) % 33.91/34.20 (step @p230 :rule refl :args (@t306)) % 33.91/34.20 (step @p231 :rule bool-double-not-elim :args (@t308)) % 33.91/34.20 (step @p232 :rule refl :args (@t310)) % 33.91/34.20 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230) :args ((or @t310 (not @t311) @t306))) % 33.91/34.20 (assume-push @p684 @t309) % 33.91/34.20 (assume-push @p685 @t311) % 33.91/34.20 (assume-push @p686 @t311) % 33.91/34.20 (assume-push @p687 @t309) % 33.91/34.20 (step @p238 :rule false_intro :premises (@p229)) % 33.91/34.20 (step @p239 :rule refl :args (tptp.nil)) % 33.91/34.20 (step @p240 :rule cong :premises (@p239 @p684) :args (@t305)) % 33.91/34.20 (step @p241 :rule trans :premises (@p240 @p238)) % 33.91/34.20 (step @p242 :rule false_elim :premises (@p241)) % 33.91/34.20 (step-pop @p688 :rule scope :premises (@p242)) % 33.91/34.20 (step-pop @p689 :rule scope :premises (@p688)) % 33.91/34.20 (step @p243 :rule process_scope :premises (@p689) :args (@t306)) % 33.91/34.20 (step @p246 :rule and_intro :premises (@p229 @p684)) % 33.91/34.20 (step @p247 :rule modus_ponens :premises (@p246 @p243)) % 33.91/34.20 (step-pop @p690 :rule scope :premises (@p247)) % 33.91/34.20 (step-pop @p691 :rule scope :premises (@p690)) % 33.91/34.20 (step @p248 :rule process_scope :premises (@p691) :args (@t306)) % 33.91/34.20 (step @p251 :rule implies_elim :premises (@p248)) % 33.91/34.20 (step @p252 :rule cnf_and_neg :args (@t312)) % 33.91/34.20 (step @p253 :rule resolution :premises (@p252 @p251) :args (true @t312)) % 33.91/34.20 (step @p254 :rule eq_resolve :premises (@p253 @p233)) % 33.91/34.20 (step @p255 :rule reordering :premises (@p254) :args ((or @t310 @t306 @t308))) % 33.91/34.20 (step @p256 :rule bool-double-not-elim :args (@t305)) % 33.91/34.20 (step @p257 :rule refl :args (@t317)) % 33.91/34.20 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t317 (not @t306)))) % 33.91/34.20 (step @p259 :rule cnf_or_neg :args (@t317 0)) % 33.91/34.20 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 33.91/34.20 (step @p261 :rule reordering :premises (@p260) :args ((or @t305 @t317))) % 33.91/34.20 (step @p262 :rule cnf_and_pos :args (@t320 0)) % 33.91/34.20 (step @p263 :rule reordering :premises (@p262) :args ((or @t305 @t321))) % 33.91/34.20 (step @p264 :rule aci_norm :args ((= (or (or @t323 @t322) @t268) @t324))) % 33.91/34.20 (step @p265 :rule refl :args (@t268)) % 33.91/34.20 (step @p266 :rule bool-and-de-morgan :args (@t216 @t269 true)) % 33.91/34.20 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t284) @t268))) % 33.91/34.20 (step @p268 :rule trans :premises (@p267 @p264)) % 33.91/34.20 (step @p269 :rule bool-impl-elim :args (@t284 @t268)) % 33.91/34.20 (step @p270 :rule trans :premises (@p269 @p268)) % 33.91/34.20 (step @p271 :rule cong :premises (@p270) :args (@t285)) % 33.91/34.20 (step @p272 :rule cong :premises (@p271) :args (@t286)) % 33.91/34.20 (step @p273 :rule eq_resolve :premises (@p227 @p272)) % 33.91/34.20 (step @p274 :rule alpha_equiv :args ((forall (@list @t328 @t326 @t327 @t325) (or (not (tptp.append_succeeds @t328 @t326 @t327)) (not (tptp.append_succeeds @t328 @t325 @t327)) (= @t326 @t325))) @t329 (@list @t214 @t242 @t215 @t213))) % 33.91/34.20 (step @p275 :rule alpha_equiv :args (@t335 (@list @t214 @t330 @t215 @t213) @t329)) % 33.91/34.20 (step @p276 :rule trans :premises (@p275 @p274)) % 33.91/34.20 (step @p277 :rule equiv_elim1 :premises (@p276)) % 33.91/34.20 (step @p278 :rule reordering :premises (@p277) :args ((or @t337 @t336))) % 33.91/34.20 (step @p279 :rule chain_m_resolution :premises (@p278 @p273) :args (@t336 @t338 (@list @t337))) % 33.91/34.20 (step @p280 :rule aci_norm :args ((= @t340 @t333))) % 33.91/34.20 (step @p281 :rule cong :premises (@p280) :args (@t341)) % 33.91/34.20 (step @p282 :rule quant-merge-prenex :args ((= (forall @t219 @t343) @t341))) % 33.91/34.20 (step @p283 :rule alpha_equiv :args (@t344 (@list @t330) @t345)) % 33.91/34.20 (step @p284 :rule refl :args (@t323)) % 33.91/34.20 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t346)) % 33.91/34.20 (step @p286 :rule quant-miniscope-or :args ((= @t343 @t346))) % 33.91/34.20 (step @p287 :rule trans :premises (@p286 @p285)) % 33.91/34.20 (step @p288 :rule symm :premises (@p287)) % 33.91/34.20 (step @p289 :rule cong :premises (@p288) :args ((forall @t219 (or @t323 @t347)))) % 33.91/34.20 (step @p290 :rule trans :premises (@p289 @p282)) % 33.91/34.20 (step @p291 :rule trans :premises (@p290 @p281)) % 33.91/34.20 (step @p292 :rule bool-impl-elim :args (@t216 @t347)) % 33.91/34.20 (step @p293 :rule cong :premises (@p292) :args ((forall @t219 (=> @t216 @t347)))) % 33.91/34.20 (step @p294 :rule trans :premises (@p293 @p291)) % 33.91/34.20 (step @p295 :rule bool-impl-elim :args (@t269 @t268)) % 33.91/34.20 (step @p296 :rule cong :premises (@p295) :args (@t271)) % 33.91/34.20 (step @p297 :rule refl :args (@t216)) % 33.91/34.20 (step @p298 :rule cong :premises (@p297 @p296) :args (@t272)) % 33.91/34.20 (step @p299 :rule cong :premises (@p298) :args (@t273)) % 33.91/34.20 (step @p300 :rule trans :premises (@p299 @p294)) % 33.91/34.20 (step @p301 :rule refl :args (@t288)) % 33.91/34.20 (step @p302 :rule refl :args (@t289)) % 33.91/34.20 (step @p303 :rule refl :args (@t292)) % 33.91/34.20 (step @p304 :rule refl :args (@t295)) % 33.91/34.20 (step @p305 :rule refl :args (@t296)) % 33.91/34.20 (step @p306 :rule eq-symm :args (@t298 @t213)) % 33.91/34.20 (step @p307 :rule cong :premises (@p306) :args (@t348)) % 33.91/34.20 (step @p308 :rule eq-symm :args (@t299 @t215)) % 33.91/34.20 (step @p309 :rule cong :premises (@p308) :args (@t349)) % 33.91/34.20 (step @p310 :rule nary_cong :premises (@p309 @p307 @p305 @p304) :args (@t350)) % 33.91/34.20 (step @p311 :rule nary_cong :premises (@p310 @p303) :args (@t351)) % 33.91/34.20 (step @p312 :rule nary_cong :premises (@p311 @p302 @p301) :args (@t352)) % 33.91/34.20 (step @p313 :rule aci_norm :args ((= @t354 @t352))) % 33.91/34.20 (step @p314 :rule trans :premises (@p313 @p312)) % 33.91/34.20 (step @p315 :rule cong :premises (@p314) :args (@t355)) % 33.91/34.20 (step @p316 :rule quant-merge-prenex :args ((= (forall @t219 @t356) @t355))) % 33.91/34.20 (step @p317 :rule alpha_equiv :args (@t357 (@list @t287) @t345)) % 33.91/34.20 (step @p318 :rule quant-unused-vars :args ((= @t359 @t292))) % 33.91/34.20 (step @p319 :rule alpha_equiv :args (@t360 (@list @t297 @t294 @t293) (@list @t4 @t3 @t7))) % 33.91/34.20 (step @p320 :rule nary_cong :premises (@p319 @p318) :args (@t361)) % 33.91/34.20 (step @p321 :rule quant-miniscope-and :args ((= @t362 @t361))) % 33.91/34.20 (step @p322 :rule trans :premises (@p321 @p320)) % 33.91/34.20 (step @p323 :rule nary_cong :premises (@p322 @p317) :args (@t363)) % 33.91/34.20 (step @p324 :rule quant-miniscope-or :args ((= @t356 @t363))) % 33.91/34.20 (step @p325 :rule trans :premises (@p324 @p323)) % 33.91/34.20 (step @p326 :rule symm :premises (@p325)) % 33.91/34.20 (step @p327 :rule cong :premises (@p326) :args ((forall @t219 (or (and @t372 @t292) @t347)))) % 33.91/34.20 (step @p328 :rule trans :premises (@p327 @p316)) % 33.91/34.20 (step @p329 :rule trans :premises (@p328 @p315)) % 33.91/34.20 (step @p330 :rule refl :args (@t347)) % 33.91/34.20 (step @p331 :rule bool-and-de-morgan :args (@t291 @t290 true)) % 33.91/34.20 (step @p332 :rule refl :args (@t372)) % 33.91/34.20 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((and @t372 @t374))) % 33.91/34.20 (step @p334 :rule refl :args (@t374)) % 33.91/34.20 (step @p335 :rule bool-double-not-elim :args (@t372)) % 33.91/34.20 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((and (not @t375) @t374))) % 33.91/34.20 (step @p337 :rule bool-or-de-morgan :args (@t375 @t373 false)) % 33.91/34.20 (step @p338 :rule trans :premises (@p337 @p336)) % 33.91/34.20 (step @p339 :rule trans :premises (@p338 @p333)) % 33.91/34.20 (step @p340 :rule nary_cong :premises (@p339 @p330) :args ((or (not @t376) @t347))) % 33.91/34.20 (step @p341 :rule bool-impl-elim :args (@t376 @t347)) % 33.91/34.20 (step @p342 :rule trans :premises (@p341 @p340)) % 33.91/34.20 (step @p343 :rule cong :premises (@p342) :args ((forall @t219 (=> @t376 @t347)))) % 33.91/34.20 (step @p344 :rule trans :premises (@p343 @p329)) % 33.91/34.20 (step @p345 :rule eq-symm :args (@t213 @t214)) % 33.91/34.20 (step @p346 :rule eq-symm :args (@t215 tptp.nil)) % 33.91/34.20 (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t274)) % 33.91/34.20 (step @p348 :rule aci_norm :args ((= (or @t370 (or @t368 (or @t366 @t365))) @t371))) % 33.91/34.20 (step @p349 :rule bool-and-de-morgan :args (@t277 @t364 true)) % 33.91/34.20 (step @p350 :rule refl :args (@t368)) % 33.91/34.20 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t368 (not (and @t277 @t364))))) % 33.91/34.20 (step @p352 :rule bool-and-de-morgan :args (@t367 @t277 (and @t364))) % 33.91/34.20 (step @p353 :rule trans :premises (@p352 @p351)) % 33.91/34.20 (step @p354 :rule refl :args (@t370)) % 33.91/34.20 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t370 (not (and @t367 @t277 @t364))))) % 33.91/34.20 (step @p356 :rule bool-and-de-morgan :args (@t369 @t367 (and @t277 @t364))) % 33.91/34.20 (step @p357 :rule trans :premises (@p356 @p355)) % 33.91/34.20 (step @p358 :rule trans :premises (@p357 @p348)) % 33.91/34.20 (step @p359 :rule 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((or @t427 @t457 @t456 (not @t452)))) % 34.04/34.20 (assume-push @p716 @t452) % 34.04/34.20 (assume-push @p717 @t445) % 34.04/34.20 (assume-push @p718 @t448) % 34.04/34.20 (assume-push @p719 @t426) % 34.04/34.20 (step @p578 :rule evaluate :args (@t458)) % 34.04/34.20 (step @p579 :rule false_intro :premises (@p716)) % 34.04/34.20 (step @p580 :rule symm :premises (@p718)) % 34.04/34.20 (step @p581 :rule refl :args (@t318)) % 34.04/34.20 (step @p582 :rule symm :premises (@p717)) % 34.04/34.20 (step @p583 :rule cong :premises (@p582 @p581 @p580) :args (@t426)) % 34.04/34.20 (step @p584 :rule true_intro :premises (@p719)) % 34.04/34.20 (step @p585 :rule symm :premises (@p584)) % 34.04/34.20 (step @p586 :rule trans :premises (@p585 @p583 @p579)) % 34.04/34.20 (step @p587 false :rule eq_resolve :premises (@p586 @p578)) % 34.04/34.20 (step-pop @p720 :rule scope :premises (@p587)) % 34.04/34.20 (step-pop @p721 :rule scope :premises (@p720)) % 34.04/34.20 (step-pop @p722 :rule scope :premises (@p721)) % 34.04/34.20 (step-pop @p723 :rule scope :premises (@p722)) % 34.04/34.20 (step @p588 :rule process_scope :premises (@p723) :args (false)) % 34.04/34.20 (assume-push @p724 @t426) % 34.04/34.20 (assume-push @p725 @t445) % 34.04/34.20 (assume-push @p726 @t448) % 34.04/34.20 (assume-push @p727 @t452) % 34.04/34.20 (step @p597 :rule and_intro :premises (@p727 @p725 @p726 @p724)) % 34.04/34.20 (step-pop @p728 :rule scope :premises (@p597)) % 34.04/34.20 (step-pop @p729 :rule scope :premises (@p728)) % 34.04/34.20 (step-pop @p730 :rule scope :premises (@p729)) % 34.04/34.20 (step-pop @p731 :rule scope :premises (@p730)) % 34.04/34.20 (step @p598 :rule process_scope :premises (@p731) :args (@t459)) % 34.04/34.20 (step @p603 :rule implies_elim :premises (@p598)) % 34.04/34.20 (step @p604 :rule resolution :premises (@p603 @p588) :args (true @t459)) % 34.04/34.20 (step @p605 :rule not_and :premises (@p604)) % 34.04/34.20 (step @p606 :rule eq_resolve :premises (@p605 @p573)) % 34.04/34.20 (step @p607 :rule chain_m_resolution :premises (@p606 @p569 @p567 @p565 @p554 @p552 @p551 @p549 @p545 @p528 @p511 @p506 @p501 @p495 @p476 @p471 @p465 @p463 @p408 @p407 @p263 @p261 @p255 @p229) :args (@t310 (@list true true false false false false false false false false false false true false false true false true true true false true true) (@list @t451 @t381 @t455 @t448 @t450 @t445 @t447 @t443 @t441 @t426 @t430 @t433 @t435 @t386 @t390 @t420 @t422 @t392 @t393 @t320 @t317 @t305 @t308))) % 34.04/34.20 (step @p608 :rule bool-double-not-elim :args (@t309)) % 34.04/34.20 (step @p609 :rule nary_cong :premises (@p467 @p608) :args ((or @t392 (not @t310)))) % 34.04/34.20 (step @p610 :rule cnf_or_neg :args (@t392 0)) % 34.04/34.20 (step @p611 :rule eq_resolve :premises (@p610 @p609)) % 34.04/34.20 (step @p612 :rule reordering :premises (@p611) :args ((or @t309 @t392))) % 34.04/34.20 (step @p613 :rule chain_m_resolution :premises (@p612 @p607) :args (@t392 @t338 (@list @t309))) % 34.04/34.20 (step @p614 :rule chain_m_resolution :premises (@p408 @p407 @p613) :args ((not @t317) @t460 (@list @t393 @t392))) % 34.04/34.20 (step @p615 :rule chain_m_resolution :premises (@p261 @p614) :args (@t305 @t338 @t461)) % 34.04/34.20 (step @p616 :rule bool-double-not-elim :args (@t315)) % 34.04/34.20 (step @p617 :rule nary_cong :premises (@p257 @p616) :args ((or @t317 (not @t316)))) % 34.04/34.20 (step @p618 :rule cnf_or_neg :args (@t317 1)) % 34.04/34.20 (step @p619 :rule eq_resolve :premises (@p618 @p617)) % 34.04/34.20 (step @p620 :rule reordering :premises (@p619) :args ((or @t315 @t317))) % 34.04/34.20 (step @p621 :rule chain_m_resolution :premises (@p620 @p614) :args (@t315 @t338 @t461)) % 34.04/34.20 (step @p622 :rule refl :args (@t462)) % 34.04/34.20 (step @p623 :rule bool-double-not-elim :args (@t381)) % 34.04/34.20 (step @p624 :rule refl :args (@t316)) % 34.04/34.20 (step @p625 :rule nary_cong :premises (@p624 @p623 @p622) :args ((or @t316 (not @t454) @t462))) % 34.04/34.20 (assume-push @p732 @t315) % 34.04/34.20 (assume-push @p733 @t454) % 34.04/34.20 (assume-push @p734 @t454) % 34.04/34.20 (assume-push @p735 @t315) % 34.04/34.20 (step @p630 :rule false_intro :premises (@p567)) % 34.04/34.20 (step @p581 :rule refl :args (@t318)) % 34.04/34.20 (step @p631 :rule symm :premises (@p732)) % 34.04/34.20 (step @p632 :rule cong :premises (@p631 @p581) :args (@t319)) % 34.04/34.20 (step @p633 :rule trans :premises (@p632 @p630)) % 34.04/34.20 (step @p634 :rule false_elim :premises (@p633)) % 34.04/34.20 (step-pop @p736 :rule scope :premises (@p634)) % 34.04/34.20 (step-pop @p737 :rule scope :premises (@p736)) % 34.04/34.20 (step @p635 :rule process_scope :premises (@p737) :args (@t462)) % 34.04/34.20 (step @p638 :rule and_intro :premises (@p567 @p732)) % 34.04/34.20 (step @p639 :rule modus_ponens :premises (@p638 @p635)) % 34.04/34.20 (step-pop @p738 :rule scope :premises (@p639)) % 34.04/34.20 (step-pop @p739 :rule scope :premises (@p738)) % 34.04/34.20 (step @p640 :rule process_scope :premises (@p739) :args (@t462)) % 34.04/34.20 (step @p643 :rule implies_elim :premises (@p640)) % 34.04/34.20 (step @p644 :rule cnf_and_neg :args (@t463)) % 34.04/34.20 (step @p645 :rule resolution :premises (@p644 @p643) :args (true @t463)) % 34.04/34.20 (step @p646 :rule eq_resolve :premises (@p645 @p625)) % 34.04/34.20 (step @p647 :rule chain_m_resolution :premises (@p646 @p621 @p567) :args (@t462 (@list false true) (@list @t315 @t381))) % 34.04/34.20 (step @p648 :rule cnf_and_pos :args (@t320 1)) % 34.04/34.20 (step @p649 :rule reordering :premises (@p648) :args ((or @t319 @t321))) % 34.04/34.20 (step @p650 :rule chain_m_resolution :premises (@p649 @p647) :args (@t321 @t338 (@list @t319))) % 34.04/34.20 (step @p651 :rule chain_m_resolution :premises (@p465 @p650 @p463) :args (@t421 @t460 (@list @t320 @t422))) % 34.04/34.20 (step @p652 :rule chain_m_resolution :premises (@p495 @p651) :args (@t436 @t338 (@list @t420))) % 34.04/34.20 (step @p653 :rule chain_m_resolution :premises (@p501 @p652) :args (@t433 @t338 (@list @t435))) % 34.04/34.20 (step @p654 :rule instantiate :premises (@p5) :args ((@list @t428 @t425))) % 34.04/34.20 (step @p655 :rule bool-double-not-elim :args (@t464)) % 34.04/34.20 (step @p656 :rule refl :args (@t434)) % 34.04/34.20 (step @p657 :rule nary_cong :premises (@p230 @p656 @p655) :args ((or @t306 @t434 (not @t465)))) % 34.04/34.20 (assume-push @p740 @t465) % 34.04/34.20 (assume-push @p741 @t433) % 34.04/34.20 (assume-push @p742 @t305) % 34.04/34.20 (step @p578 :rule evaluate :args (@t458)) % 34.04/34.20 (step @p661 :rule false_intro :premises (@p654)) % 34.04/34.20 (step @p662 :rule trans :premises (@p742 @p741)) % 34.04/34.20 (step @p663 :rule true_intro :premises (@p662)) % 34.04/34.20 (step @p664 :rule symm :premises (@p663)) % 34.04/34.20 (step @p665 :rule trans :premises (@p664 @p661)) % 34.04/34.20 (step @p666 false :rule eq_resolve :premises (@p665 @p578)) % 34.04/34.20 (step-pop @p743 :rule scope :premises (@p666)) % 34.04/34.20 (step-pop @p744 :rule scope :premises (@p743)) % 34.04/34.20 (step-pop @p745 :rule scope :premises (@p744)) % 34.04/34.20 (step @p667 :rule process_scope :premises (@p745) :args (false)) % 34.04/34.20 (assume-push @p746 @t305) % 34.04/34.20 (assume-push @p747 @t433) % 34.04/34.20 (assume-push @p748 @t465) % 34.04/34.20 (step @p674 :rule and_intro :premises (@p654 @p747 @p746)) % 34.04/34.20 (step-pop @p749 :rule scope :premises (@p674)) % 34.04/34.20 (step-pop @p750 :rule scope :premises (@p749)) % 34.04/34.20 (step-pop @p751 :rule scope :premises (@p750)) % 34.04/34.20 (step @p675 :rule process_scope :premises (@p751) :args (@t466)) % 34.04/34.20 (step @p679 :rule implies_elim :premises (@p675)) % 34.04/34.20 (step @p680 :rule resolution :premises (@p679 @p667) :args (true @t466)) % 34.04/34.20 (step @p681 :rule not_and :premises (@p680)) % 34.04/34.20 (step @p682 :rule eq_resolve :premises (@p681 @p657)) % 34.04/34.20 (step @p683 false :rule chain_m_resolution :premises (@p682 @p654 @p653 @p615) :args (false (@list true false false) (@list @t464 @t433 @t305))) % 34.04/34.20 ) % 34.04/34.20 % SZS output end Proof % 34.04/34.20 % cvc5 exiting %------------------------------------------------------------------------------