%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX025+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 : n014.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 33.95s 34.28s % Output : Proof 33.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX025+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 % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:54:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.55 %----Proving TF0_NAR, FOF, or CNF % 33.95/34.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.95/34.28 --- Run --no-e-matching --full-saturate-quant at 6... % 33.95/34.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.95/34.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.95/34.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.95/34.28 % SZS status Theorem % 33.95/34.28 % SZS output start Proof % 33.95/34.28 ( % 33.95/34.28 (declare-sort $$unsorted 0) % 33.95/34.28 (declare-const tptp.sub (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'**'| (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.28 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.28 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.28 (declare-const tptp.append_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.length_succeeds (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.delete_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.gr (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 33.95/34.28 (declare-const |tptp.'0'| $$unsorted) % 33.95/34.28 (declare-const tptp.delete_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.member_terminates (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nil $$unsorted) % 33.95/34.28 (declare-const tptp.list_terminates (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nat_list_fails (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.member_succeeds (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.length_fails (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nat_list_succeeds (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.lh (-> $$unsorted $$unsorted)) % 33.95/34.28 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.list_fails (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.list_succeeds (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.append_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 33.95/34.28 (declare-const tptp.length_terminates (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.nat_list_terminates (-> $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.append_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.member_fails (-> $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.delete_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.95/34.28 (define @t1 () (@var "Xx3" $$unsorted)) % 33.95/34.28 (define @t2 () (tptp.s @t1)) % 33.95/34.28 (define @t3 () (@var "Xx5" $$unsorted)) % 33.95/34.28 (define @t4 () (@var "Xx4" $$unsorted)) % 33.95/34.28 (define @t5 () (tptp.cons @t4 @t3)) % 33.95/34.28 (define @t6 () (@list @t4 @t3)) % 33.95/34.28 (define @t7 () (@var "Xx6" $$unsorted)) % 33.95/34.28 (define @t8 () (@var "Xx8" $$unsorted)) % 33.95/34.28 (define @t9 () (@var "Xx7" $$unsorted)) % 33.95/34.28 (define @t10 () (forall (@list @t9 @t8) (not (= tptp.nil (tptp.cons @t9 @t8))))) % 33.95/34.28 (define @t11 () (@var "Xx10" $$unsorted)) % 33.95/34.28 (define @t12 () (@var "Xx9" $$unsorted)) % 33.95/34.28 (define @t13 () (@var "Xx13" $$unsorted)) % 33.95/34.28 (define @t14 () (@var "Xx12" $$unsorted)) % 33.95/34.28 (define @t15 () (@var "Xx11" $$unsorted)) % 33.95/34.28 (define @t16 () (@var "Xx17" $$unsorted)) % 33.95/34.28 (define @t17 () (@var "Xx15" $$unsorted)) % 33.95/34.28 (define @t18 () (= @t17 @t16)) % 33.95/34.28 (define @t19 () (@var "Xx16" $$unsorted)) % 33.95/34.28 (define @t20 () (@var "Xx14" $$unsorted)) % 33.95/34.28 (define @t21 () (= (tptp.cons @t20 @t17) (tptp.cons @t19 @t16))) % 33.95/34.28 (define @t22 () (forall (@list @t20 @t17 @t19 @t16) (=> @t21 @t18))) % 33.95/34.28 (define @t23 () (@var "Xx20" $$unsorted)) % 33.95/34.28 (define @t24 () (@var "Xx18" $$unsorted)) % 33.95/34.28 (define @t25 () (= @t24 @t23)) % 33.95/34.28 (define @t26 () (@var "Xx21" $$unsorted)) % 33.95/34.28 (define @t27 () (@var "Xx19" $$unsorted)) % 33.95/34.28 (define @t28 () (= (tptp.cons @t24 @t27) (tptp.cons @t23 @t26))) % 33.95/34.28 (define @t29 () (forall (@list @t24 @t27 @t23 @t26) (=> @t28 @t25))) % 33.95/34.28 (define @t30 () (@var "Xx22" $$unsorted)) % 33.95/34.28 (define @t31 () (@var "Xx24" $$unsorted)) % 33.95/34.28 (define @t32 () (@var "Xx23" $$unsorted)) % 33.95/34.28 (define @t33 () (@var "Xx27" $$unsorted)) % 33.95/34.28 (define @t34 () (@var "Xx26" $$unsorted)) % 33.95/34.28 (define @t35 () (@var "Xx25" $$unsorted)) % 33.95/34.28 (define @t36 () (tptp.delete_fails @t35 @t34 @t33)) % 33.95/34.28 (define @t37 () (tptp.delete_succeeds @t35 @t34 @t33)) % 33.95/34.28 (define @t38 () (@list @t35 @t34 @t33)) % 33.95/34.28 (define @t39 () (@var "Xx29" $$unsorted)) % 33.95/34.28 (define @t40 () (@var "Xx28" $$unsorted)) % 33.95/34.28 (define @t41 () (tptp.length_fails @t40 @t39)) % 33.95/34.28 (define @t42 () (tptp.length_succeeds @t40 @t39)) % 33.95/34.28 (define @t43 () (@list @t40 @t39)) % 33.95/34.28 (define @t44 () (@var "Xx32" $$unsorted)) % 33.95/34.28 (define @t45 () (@var "Xx31" $$unsorted)) % 33.95/34.28 (define @t46 () (@var "Xx30" $$unsorted)) % 33.95/34.28 (define @t47 () (tptp.append_fails @t46 @t45 @t44)) % 33.95/34.28 (define @t48 () (tptp.append_succeeds @t46 @t45 @t44)) % 33.95/34.28 (define @t49 () (@list @t46 @t45 @t44)) % 33.95/34.28 (define @t50 () (@var "Xx34" $$unsorted)) % 33.95/34.28 (define @t51 () (@var "Xx33" $$unsorted)) % 33.95/34.28 (define @t52 () (tptp.member_fails @t51 @t50)) % 33.95/34.28 (define @t53 () (tptp.member_succeeds @t51 @t50)) % 33.95/34.28 (define @t54 () (@list @t51 @t50)) % 33.95/34.28 (define @t55 () (@var "Xx35" $$unsorted)) % 33.95/34.28 (define @t56 () (tptp.list_fails @t55)) % 33.95/34.28 (define @t57 () (tptp.list_succeeds @t55)) % 33.95/34.28 (define @t58 () (@list @t55)) % 33.95/34.28 (define @t59 () (@var "Xx36" $$unsorted)) % 33.95/34.28 (define @t60 () (tptp.nat_list_fails @t59)) % 33.95/34.28 (define @t61 () (tptp.nat_list_succeeds @t59)) % 33.95/34.28 (define @t62 () (@list @t59)) % 33.95/34.28 (define @t63 () (@var "Xx39" $$unsorted)) % 33.95/34.28 (define @t64 () (@var "Xx38" $$unsorted)) % 33.95/34.28 (define @t65 () (@var "Xx37" $$unsorted)) % 33.95/34.28 (define @t66 () (tptp.times_fails @t65 @t64 @t63)) % 33.95/34.28 (define @t67 () (tptp.times_succeeds @t65 @t64 @t63)) % 33.95/34.28 (define @t68 () (@list @t65 @t64 @t63)) % 33.95/34.28 (define @t69 () (@var "Xx42" $$unsorted)) % 33.95/34.28 (define @t70 () (@var "Xx41" $$unsorted)) % 33.95/34.28 (define @t71 () (@var "Xx40" $$unsorted)) % 33.95/34.28 (define @t72 () (tptp.plus_fails @t71 @t70 @t69)) % 33.95/34.28 (define @t73 () (tptp.plus_succeeds @t71 @t70 @t69)) % 33.95/34.28 (define @t74 () (@list @t71 @t70 @t69)) % 33.95/34.28 (define @t75 () (@var "Xx44" $$unsorted)) % 33.95/34.28 (define @t76 () (@var "Xx43" $$unsorted)) % 33.95/34.28 (define @t77 () (|tptp.'@=<_fails'| @t76 @t75)) % 33.95/34.28 (define @t78 () (|tptp.'@=<_succeeds'| @t76 @t75)) % 33.95/34.28 (define @t79 () (@list @t76 @t75)) % 33.95/34.28 (define @t80 () (@var "Xx46" $$unsorted)) % 33.95/34.28 (define @t81 () (@var "Xx45" $$unsorted)) % 33.95/34.28 (define @t82 () (|tptp.'@<_fails'| @t81 @t80)) % 33.95/34.28 (define @t83 () (|tptp.'@<_succeeds'| @t81 @t80)) % 33.95/34.28 (define @t84 () (@list @t81 @t80)) % 33.95/34.28 (define @t85 () (@var "Xx47" $$unsorted)) % 33.95/34.28 (define @t86 () (tptp.nat_fails @t85)) % 33.95/34.28 (define @t87 () (tptp.nat_succeeds @t85)) % 33.95/34.28 (define @t88 () (@list @t85)) % 33.95/34.28 (define @t89 () (@var "Xx1" $$unsorted)) % 33.95/34.28 (define @t90 () (@var "Xx2" $$unsorted)) % 33.95/34.28 (define @t91 () (= @t90 (tptp.cons @t89 @t1))) % 33.95/34.28 (define @t92 () (tptp.cons @t4 @t7)) % 33.95/34.28 (define @t93 () (= @t1 @t92)) % 33.95/34.28 (define @t94 () (= @t90 @t5)) % 33.95/34.28 (define @t95 () (@list @t4 @t3 @t7)) % 33.95/34.28 (define @t96 () (@list @t89 @t90 @t1)) % 33.95/34.28 (define @t97 () (not @t93)) % 33.95/34.28 (define @t98 () (not @t94)) % 33.95/34.28 (define @t99 () (= @t90 |tptp.'0'|)) % 33.95/34.28 (define @t100 () (= @t89 tptp.nil)) % 33.95/34.28 (define @t101 () (tptp.s @t3)) % 33.95/34.28 (define @t102 () (= @t90 @t101)) % 33.95/34.28 (define @t103 () (tptp.cons @t1 @t4)) % 33.95/34.28 (define @t104 () (= @t89 @t103)) % 33.95/34.28 (define @t105 () (@list @t1 @t4 @t3)) % 33.95/34.28 (define @t106 () (@list @t89 @t90)) % 33.95/34.28 (define @t107 () (not @t100)) % 33.95/34.28 (define @t108 () (not @t102)) % 33.95/34.28 (define @t109 () (not @t104)) % 33.95/34.28 (define @t110 () (or @t107 true)) % 33.95/34.28 (define @t111 () (= @t1 @t90)) % 33.95/34.28 (define @t112 () (and @t100 @t111)) % 33.95/34.28 (define @t113 () (tptp.append_succeeds @t3 @t90 @t7)) % 33.95/34.28 (define @t114 () (= @t89 @t5)) % 33.95/34.28 (define @t115 () (and @t114 @t93 @t113)) % 33.95/34.28 (define @t116 () (exists @t95 @t115)) % 33.95/34.28 (define @t117 () (or @t116 @t112)) % 33.95/34.28 (define @t118 () (tptp.append_succeeds @t89 @t90 @t1)) % 33.95/34.28 (define @t119 () (= @t118 @t117)) % 33.95/34.28 (define @t120 () (forall @t96 @t119)) % 33.95/34.28 (define @t121 () (not @t111)) % 33.95/34.28 (define @t122 () (not @t114)) % 33.95/34.28 (define @t123 () (= @t90 (tptp.cons @t89 @t3))) % 33.95/34.28 (define @t124 () (@list @t3)) % 33.95/34.28 (define @t125 () (= @t90 @t103)) % 33.95/34.28 (define @t126 () (@list @t1 @t4)) % 33.95/34.28 (define @t127 () (not @t125)) % 33.95/34.28 (define @t128 () (tptp.list_succeeds @t1)) % 33.95/34.28 (define @t129 () (tptp.cons @t90 @t1)) % 33.95/34.28 (define @t130 () (= @t89 @t129)) % 33.95/34.28 (define @t131 () (and @t130 @t128)) % 33.95/34.28 (define @t132 () (@list @t90 @t1)) % 33.95/34.28 (define @t133 () (exists @t132 @t131)) % 33.95/34.28 (define @t134 () (or @t133 @t100)) % 33.95/34.28 (define @t135 () (tptp.list_succeeds @t89)) % 33.95/34.28 (define @t136 () (= @t135 @t134)) % 33.95/34.28 (define @t137 () (@list @t89)) % 33.95/34.28 (define @t138 () (forall @t137 @t136)) % 33.95/34.28 (define @t139 () (not @t130)) % 33.95/34.28 (define @t140 () (tptp.nat_succeeds @t90)) % 33.95/34.28 (define @t141 () (tptp.nat_fails @t90)) % 33.95/34.28 (define @t142 () (tptp.nat_terminates @t90)) % 33.95/34.28 (define @t143 () (= @t1 |tptp.'0'|)) % 33.95/34.28 (define @t144 () (= @t89 |tptp.'0'|)) % 33.95/34.28 (define @t145 () (tptp.s @t4)) % 33.95/34.28 (define @t146 () (= @t89 @t145)) % 33.95/34.28 (define @t147 () (not @t144)) % 33.95/34.28 (define @t148 () (tptp.times_fails @t4 @t90 @t3)) % 33.95/34.28 (define @t149 () (not @t146)) % 33.95/34.28 (define @t150 () (or @t147 true)) % 33.95/34.28 (define @t151 () (= @t1 @t101)) % 33.95/34.28 (define @t152 () (not @t151)) % 33.95/34.28 (define @t153 () (= @t90 @t145)) % 33.95/34.28 (define @t154 () (= @t89 @t2)) % 33.95/34.28 (define @t155 () (not @t153)) % 33.95/34.28 (define @t156 () (not @t154)) % 33.95/34.28 (define @t157 () (= @t89 (tptp.s @t90))) % 33.95/34.28 (define @t158 () (@list @t90)) % 33.95/34.28 (define @t159 () (tptp.nat_succeeds @t89)) % 33.95/34.28 (define @t160 () (not @t157)) % 33.95/34.28 (define @t161 () (@var "Xx" $$unsorted)) % 33.95/34.28 (define @t162 () (tptp.nat_succeeds @t161)) % 33.95/34.28 (define @t163 () (@list @t161)) % 33.95/34.28 (define @t164 () (tptp.gr @t161)) % 33.95/34.28 (define @t165 () (@var "Xz" $$unsorted)) % 33.95/34.28 (define @t166 () (@var "Xy" $$unsorted)) % 33.95/34.28 (define @t167 () (tptp.plus_terminates @t161 @t166 @t165)) % 33.95/34.28 (define @t168 () (@list @t161 @t166 @t165)) % 33.95/34.28 (define @t169 () (tptp.nat_succeeds @t165)) % 33.95/34.28 (define @t170 () (tptp.plus_succeeds @t161 @t166 @t165)) % 33.95/34.28 (define @t171 () (tptp.nat_succeeds @t166)) % 33.95/34.28 (define @t172 () (tptp.gr @t165)) % 33.95/34.28 (define @t173 () (tptp.gr @t166)) % 33.95/34.28 (define @t174 () (@list @t165)) % 33.95/34.28 (define @t175 () (@list @t161 @t166)) % 33.95/34.28 (define @t176 () (@var "Xz2" $$unsorted)) % 33.95/34.28 (define @t177 () (@var "Xz1" $$unsorted)) % 33.95/34.28 (define @t178 () (= @t177 @t176)) % 33.95/34.28 (define @t179 () (@list @t161 @t166 @t177 @t176)) % 33.95/34.28 (define @t180 () (@list @t166)) % 33.95/34.28 (define @t181 () (|tptp.'@+'| @t161 @t166)) % 33.95/34.28 (define @t182 () (tptp.s @t161)) % 33.95/34.28 (define @t183 () (|tptp.'@+'| @t182 @t166)) % 33.95/34.28 (define @t184 () (and @t162 @t171)) % 33.95/34.28 (define @t185 () (|tptp.'@+'| @t166 @t165)) % 33.95/34.28 (define @t186 () (and @t162 @t171 @t169)) % 33.95/34.28 (define @t187 () (tptp.s @t166)) % 33.95/34.28 (define @t188 () (|tptp.'@+'| @t161 @t187)) % 33.95/34.28 (define @t189 () (|tptp.'@+'| @t166 @t161)) % 33.95/34.28 (define @t190 () (|tptp.'@+'| @t161 @t165)) % 33.95/34.28 (define @t191 () (tptp.times_succeeds @t161 @t166 @t165)) % 33.95/34.28 (define @t192 () (|tptp.'@*'| @t161 @t166)) % 33.95/34.28 (define @t193 () (|tptp.'@*'| @t182 @t166)) % 33.95/34.28 (define @t194 () (|tptp.'@*'| @t166 @t165)) % 33.95/34.28 (define @t195 () (|tptp.'@*'| @t161 @t165)) % 33.95/34.28 (define @t196 () (|tptp.'@*'| @t166 @t161)) % 33.95/34.28 (define @t197 () (tptp.s |tptp.'0'|)) % 33.95/34.28 (define @t198 () (|tptp.'@<_terminates'| @t161 @t166)) % 33.95/34.28 (define @t199 () (|tptp.'@<_succeeds'| @t161 @t166)) % 33.95/34.28 (define @t200 () (tptp.s @t165)) % 33.95/34.28 (define @t201 () (|tptp.'@<_succeeds'| @t161 @t165)) % 33.95/34.28 (define @t202 () (|tptp.'@<_succeeds'| @t161 @t187)) % 33.95/34.28 (define @t203 () (|tptp.'@<_succeeds'| @t166 @t165)) % 33.95/34.28 (define @t204 () (= @t161 @t166)) % 33.95/34.28 (define @t205 () (or @t199 @t204)) % 33.95/34.28 (define @t206 () (not (= @t161 |tptp.'0'|))) % 33.95/34.28 (define @t207 () (|tptp.'@=<_succeeds'| @t161 @t166)) % 33.95/34.28 (define @t208 () (|tptp.'@=<_succeeds'| @t166 @t161)) % 33.95/34.28 (define @t209 () (|tptp.'@=<_succeeds'| @t166 @t165)) % 33.95/34.28 (define @t210 () (|tptp.'@<_succeeds'| @t181 @t190)) % 33.95/34.28 (define @t211 () (|tptp.'@<_succeeds'| @t190 @t185)) % 33.95/34.28 (define @t212 () (|tptp.'@=<_succeeds'| @t181 @t190)) % 33.95/34.28 (define @t213 () (and @t207 @t171 @t169)) % 33.95/34.28 (define @t214 () (@var "Xy2" $$unsorted)) % 33.95/34.28 (define @t215 () (@var "Xy1" $$unsorted)) % 33.95/34.28 (define @t216 () (|tptp.'@+'| @t215 @t214)) % 33.95/34.28 (define @t217 () (|tptp.'@+'| @t89 @t90)) % 33.95/34.28 (define @t218 () (tptp.nat_succeeds @t215)) % 33.95/34.28 (define @t219 () (|tptp.'@=<_succeeds'| @t90 @t214)) % 33.95/34.28 (define @t220 () (|tptp.'@=<_succeeds'| @t89 @t215)) % 33.95/34.28 (define @t221 () (@list @t89 @t90 @t215 @t214)) % 33.95/34.28 (define @t222 () (|tptp.'@<_succeeds'| @t217 @t216)) % 33.95/34.28 (define @t223 () (|tptp.'@<_succeeds'| @t89 @t215)) % 33.95/34.28 (define @t224 () (|tptp.'@<_succeeds'| @t90 @t214)) % 33.95/34.28 (define @t225 () (@var "Xl3" $$unsorted)) % 33.95/34.28 (define @t226 () (@var "Xl2" $$unsorted)) % 33.95/34.28 (define @t227 () (@var "Xl1" $$unsorted)) % 33.95/34.28 (define @t228 () (tptp.append_succeeds @t227 @t226 @t225)) % 33.95/34.28 (define @t229 () (|tptp.'**'| @t227 @t226)) % 33.95/34.28 (define @t230 () (tptp.list_succeeds @t227)) % 33.95/34.28 (define @t231 () (@list @t227 @t226 @t225)) % 33.95/34.28 (define @t232 () (@var "Xn" $$unsorted)) % 33.95/34.28 (define @t233 () (@var "Xl" $$unsorted)) % 33.95/34.28 (define @t234 () (tptp.length_succeeds @t233 @t232)) % 33.95/34.28 (define @t235 () (tptp.lh @t233)) % 33.95/34.28 (define @t236 () (tptp.list_succeeds @t233)) % 33.95/34.28 (define @t237 () (@list @t233 @t232)) % 33.95/34.28 (define @t238 () (tptp.member_succeeds @t161 @t226)) % 33.95/34.28 (define @t239 () (tptp.member_succeeds @t161 @t227)) % 33.95/34.28 (define @t240 () (@list @t227 @t226)) % 33.95/34.28 (define @t241 () (tptp.cons @t161 @t233)) % 33.95/34.28 (define @t242 () (tptp.list_succeeds @t241)) % 33.95/34.28 (define @t243 () (@list @t161 @t233)) % 33.95/34.28 (define @t244 () (forall @t243 (=> @t242 @t236))) % 33.95/34.28 (define @t245 () (@list @t233)) % 33.95/34.28 (define @t246 () (tptp.member_succeeds @t161 @t233)) % 33.95/34.28 (define @t247 () (tptp.list_succeeds @t225)) % 33.95/34.28 (define @t248 () (tptp.list_succeeds @t226)) % 33.95/34.28 (define @t249 () (and @t228 @t247)) % 33.95/34.28 (define @t250 () (and @t230 @t248)) % 33.95/34.28 (define @t251 () (tptp.append_terminates @t227 @t226 @t225)) % 33.95/34.28 (define @t252 () (tptp.gr @t225)) % 33.95/34.28 (define @t253 () (tptp.gr @t226)) % 33.95/34.28 (define @t254 () (tptp.gr @t227)) % 33.95/34.28 (define @t255 () (and @t254 @t253)) % 33.95/34.28 (define @t256 () (@var "Xl4" $$unsorted)) % 33.95/34.28 (define @t257 () (@list @t227 @t226 @t225 @t256)) % 33.95/34.28 (define @t258 () (@list @t161 @t227 @t226)) % 33.95/34.28 (define @t259 () (tptp.list_succeeds @t229)) % 33.95/34.28 (define @t260 () (tptp.gr @t229)) % 33.95/34.28 (define @t261 () (|tptp.'**'| @t233 tptp.nil)) % 33.95/34.28 (define @t262 () (=> @t236 (= @t261 @t233))) % 33.95/34.28 (define @t263 () (forall @t245 @t262)) % 33.95/34.28 (define @t264 () (@var "Xm" $$unsorted)) % 33.95/34.28 (define @t265 () (tptp.lh @t241)) % 33.95/34.28 (define @t266 () (tptp.cons @t161 @t226)) % 33.95/34.28 (define @t267 () (tptp.lh @t227)) % 33.95/34.28 (define @t268 () (tptp.lh @t226)) % 33.95/34.28 (define @t269 () (|tptp.'@+'| @t267 @t268)) % 33.95/34.28 (define @t270 () (tptp.lh @t229)) % 33.95/34.28 (define @t271 () (tptp.lh @t225)) % 33.95/34.28 (define @t272 () (@var "Xi" $$unsorted)) % 33.95/34.28 (define @t273 () (tptp.cons @t161 @t272)) % 33.95/34.28 (define @t274 () (@var "Xk" $$unsorted)) % 33.95/34.28 (define @t275 () (@var "Xj" $$unsorted)) % 33.95/34.28 (define @t276 () (tptp.sub @t272 @t275)) % 33.95/34.28 (define @t277 () (@list @t161 @t272 @t275)) % 33.95/34.28 (define @t278 () (tptp.append_succeeds @t227 @t266 @t225)) % 33.95/34.28 (define @t279 () (tptp.member_succeeds @t161 @t225)) % 33.95/34.28 (define @t280 () (@list @t161 @t227 @t226 @t225)) % 33.95/34.28 (define @t281 () (tptp.member_succeeds @t161 @t229)) % 33.95/34.28 (define @t282 () (or @t239 @t238)) % 33.95/34.28 (define @t283 () (tptp.cons @t161 @t225)) % 33.95/34.28 (define @t284 () (not (= @t226 @t283))) % 33.95/34.28 (define @t285 () (forall @t280 (=> @t249 @t284))) % 33.95/34.28 (define @t286 () (= @t227 tptp.nil)) % 33.95/34.28 (define @t287 () (= @t227 @t256)) % 33.95/34.28 (define @t288 () (tptp.append_succeeds @t256 @t226 @t225)) % 33.95/34.28 (define @t289 () (and @t247 @t288)) % 33.95/34.28 (define @t290 () (@list @t256)) % 33.95/34.28 (define @t291 () (forall @t290 (=> @t289 @t287))) % 33.95/34.28 (define @t292 () (=> @t228 @t291)) % 33.95/34.28 (define @t293 () (forall @t231 @t292)) % 33.95/34.28 (define @t294 () (and @t286 (= @t225 @t226))) % 33.95/34.28 (define @t295 () (= @t3 @t256)) % 33.95/34.28 (define @t296 () (tptp.append_succeeds @t256 @t226 @t7)) % 33.95/34.28 (define @t297 () (tptp.list_succeeds @t7)) % 33.95/34.28 (define @t298 () (and @t297 @t296)) % 33.95/34.28 (define @t299 () (forall @t290 (=> @t298 @t295))) % 33.95/34.28 (define @t300 () (tptp.append_succeeds @t3 @t226 @t7)) % 33.95/34.28 (define @t301 () (and (= @t227 @t5) (= @t225 @t92) @t300 @t299)) % 33.95/34.28 (define @t302 () (exists @t95 @t301)) % 33.95/34.28 (define @t303 () (or @t302 @t294)) % 33.95/34.28 (define @t304 () (=> @t303 @t291)) % 33.95/34.28 (define @t305 () (forall @t231 @t304)) % 33.95/34.28 (define @t306 () (=> @t305 @t293)) % 33.95/34.28 (define @t307 () (and @t228 @t288 @t247)) % 33.95/34.28 (define @t308 () (forall @t257 (=> @t307 @t287))) % 33.95/34.28 (define @t309 () (not @t308)) % 33.95/34.28 (define @t310 () (= @t233 @t261)) % 33.95/34.28 (define @t311 () (@var "BOUND_VARIABLE_9911" $$unsorted)) % 33.95/34.28 (define @t312 () (= @t227 @t311)) % 33.95/34.28 (define @t313 () (not (tptp.append_succeeds @t311 @t226 @t225))) % 33.95/34.28 (define @t314 () (not @t247)) % 33.95/34.28 (define @t315 () (= @t226 @t225)) % 33.95/34.28 (define @t316 () (= tptp.nil @t227)) % 33.95/34.28 (define @t317 () (or (not @t316) (not @t315))) % 33.95/34.28 (define @t318 () (@var "BOUND_VARIABLE_9889" $$unsorted)) % 33.95/34.28 (define @t319 () (@var "BOUND_VARIABLE_9891" $$unsorted)) % 33.95/34.28 (define @t320 () (not (tptp.append_succeeds @t256 @t226 @t319))) % 33.95/34.28 (define @t321 () (tptp.list_succeeds @t319)) % 33.95/34.28 (define @t322 () (not (tptp.append_succeeds @t318 @t226 @t319))) % 33.95/34.28 (define @t323 () (@var "BOUND_VARIABLE_9887" $$unsorted)) % 33.95/34.28 (define @t324 () (tptp.cons @t323 @t319)) % 33.95/34.28 (define @t325 () (tptp.cons @t323 @t318)) % 33.95/34.28 (define @t326 () (@list @t227 @t226 @t225 @t323 @t318 @t319 @t311)) % 33.95/34.28 (define @t327 () (forall @t326 (or (and (or (not (= @t227 @t325)) (not (= @t225 @t324)) @t322 (and @t321 (not (forall @t290 (or @t320 (= @t256 @t318)))))) @t317) @t314 @t313 @t312))) % 33.95/34.28 (define @t328 () (@quantifiers_skolemize @t327 2)) % 33.95/34.28 (define @t329 () (@list @t328)) % 33.95/34.28 (define @t330 () (not @t288)) % 33.95/34.28 (define @t331 () (not @t228)) % 33.95/34.28 (define @t332 () (or @t331 @t330 @t314 @t287)) % 33.95/34.28 (define @t333 () (or @t331 @t330 @t314)) % 33.95/34.28 (define @t334 () (or @t331 @t314 @t330 @t287)) % 33.95/34.28 (define @t335 () (forall @t257 @t332)) % 33.95/34.28 (define @t336 () (forall @t257 @t334)) % 33.95/34.28 (define @t337 () (@var "BOUND_VARIABLE_12004" $$unsorted)) % 33.95/34.28 (define @t338 () (@var "BOUND_VARIABLE_12003" $$unsorted)) % 33.95/34.28 (define @t339 () (@var "BOUND_VARIABLE_12006" $$unsorted)) % 33.95/34.28 (define @t340 () (@var "BOUND_VARIABLE_12005" $$unsorted)) % 33.95/34.28 (define @t341 () (@list @t338 @t337 @t340 @t339)) % 33.95/34.28 (define @t342 () (@var "BOUND_VARIABLE_9938" $$unsorted)) % 33.95/34.28 (define @t343 () (= @t227 @t342)) % 33.95/34.28 (define @t344 () (not (tptp.append_succeeds @t342 @t226 @t225))) % 33.95/34.28 (define @t345 () (or @t331 @t314 @t344 @t343)) % 33.95/34.28 (define @t346 () (@list @t227 @t226 @t225 @t342)) % 33.95/34.28 (define @t347 () (forall @t346 @t345)) % 33.95/34.28 (define @t348 () (not @t347)) % 33.95/34.28 (define @t349 () (@list true)) % 33.95/34.28 (define @t350 () (or @t344 @t343)) % 33.95/34.28 (define @t351 () (or @t331 @t314 @t350)) % 33.95/34.28 (define @t352 () (forall @t346 @t351)) % 33.95/34.28 (define @t353 () (@list @t342)) % 33.95/34.28 (define @t354 () (forall @t353 @t351)) % 33.95/34.28 (define @t355 () (forall @t353 @t350)) % 33.95/34.28 (define @t356 () (@list @t256)) % 33.95/34.28 (define @t357 () (or @t331 @t314 @t355)) % 33.95/34.28 (define @t358 () (or @t330 @t287)) % 33.95/34.28 (define @t359 () (forall @t290 @t358)) % 33.95/34.28 (define @t360 () (or @t331 @t314 @t359)) % 33.95/34.28 (define @t361 () (or @t314 @t359)) % 33.95/34.28 (define @t362 () (or @t314 @t358)) % 33.95/34.28 (define @t363 () (or @t314 @t330 @t287)) % 33.95/34.28 (define @t364 () (or @t320 (= @t318 @t256))) % 33.95/34.28 (define @t365 () (forall @t290 @t364)) % 33.95/34.28 (define @t366 () (not @t365)) % 33.95/34.28 (define @t367 () (and @t321 @t366)) % 33.95/34.28 (define @t368 () (not (= @t324 @t225))) % 33.95/34.28 (define @t369 () (not (= @t325 @t227))) % 33.95/34.28 (define @t370 () (or @t369 @t368 @t322 @t367)) % 33.95/34.28 (define @t371 () (and @t370 @t317)) % 33.95/34.28 (define @t372 () (or @t371 @t314 @t313 @t312)) % 33.95/34.28 (define @t373 () (or @t313 @t312)) % 33.95/34.28 (define @t374 () (or @t371 @t314 @t373)) % 33.95/34.28 (define @t375 () (forall @t326 @t374)) % 33.95/34.28 (define @t376 () (forall (@list @t323 @t318 @t319 @t311) @t374)) % 33.95/34.28 (define @t377 () (forall (@list @t311) @t373)) % 33.95/34.28 (define @t378 () (@list @t323 @t318 @t319)) % 33.95/34.28 (define @t379 () (forall @t378 @t317)) % 33.95/34.28 (define @t380 () (forall @t378 @t370)) % 33.95/34.28 (define @t381 () (and @t380 @t379)) % 33.95/34.28 (define @t382 () (forall @t378 @t371)) % 33.95/34.28 (define @t383 () (or @t382 @t314 @t377)) % 33.95/34.28 (define @t384 () (not @t296)) % 33.95/34.28 (define @t385 () (or @t384 @t295)) % 33.95/34.28 (define @t386 () (forall @t290 @t385)) % 33.95/34.28 (define @t387 () (not @t386)) % 33.95/34.28 (define @t388 () (not @t300)) % 33.95/34.28 (define @t389 () (= @t92 @t225)) % 33.95/34.28 (define @t390 () (not @t389)) % 33.95/34.28 (define @t391 () (= @t5 @t227)) % 33.95/34.28 (define @t392 () (not @t391)) % 33.95/34.28 (define @t393 () (forall @t95 (or @t392 @t390 @t388 (and @t297 @t387)))) % 33.95/34.28 (define @t394 () (and @t393 @t317)) % 33.95/34.28 (define @t395 () (or @t394 @t314 @t359)) % 33.95/34.28 (define @t396 () (and @t316 @t315)) % 33.95/34.28 (define @t397 () (not @t396)) % 33.95/34.28 (define @t398 () (not @t393)) % 33.95/34.28 (define @t399 () (or @t398 @t396)) % 33.95/34.28 (define @t400 () (not @t297)) % 33.95/34.28 (define @t401 () (or @t400 @t386)) % 33.95/34.28 (define @t402 () (not @t401)) % 33.95/34.28 (define @t403 () (or @t392 @t390 @t388 @t402)) % 33.95/34.28 (define @t404 () (and @t391 @t389 @t300 @t401)) % 33.95/34.28 (define @t405 () (forall @t95 (not @t404))) % 33.95/34.28 (define @t406 () (not @t405)) % 33.95/34.28 (define @t407 () (or @t400 @t385)) % 33.95/34.28 (define @t408 () (or @t400 @t384 @t295)) % 33.95/34.28 (define @t409 () (not @t327)) % 33.95/34.28 (define @t410 () (tptp.list_succeeds @t328)) % 33.95/34.28 (define @t411 () (@quantifiers_skolemize @t327 6)) % 33.95/34.28 (define @t412 () (@quantifiers_skolemize @t327 0)) % 33.95/34.28 (define @t413 () (= @t412 @t411)) % 33.95/34.28 (define @t414 () (@quantifiers_skolemize @t327 1)) % 33.95/34.28 (define @t415 () (tptp.append_succeeds @t411 @t414 @t328)) % 33.95/34.28 (define @t416 () (not @t415)) % 33.95/34.28 (define @t417 () (not @t410)) % 33.95/34.28 (define @t418 () (= @t414 @t328)) % 33.95/34.28 (define @t419 () (not @t418)) % 33.95/34.28 (define @t420 () (= tptp.nil @t412)) % 33.95/34.28 (define @t421 () (not @t420)) % 33.95/34.28 (define @t422 () (or @t421 @t419)) % 33.95/34.28 (define @t423 () (@quantifiers_skolemize @t327 4)) % 33.95/34.28 (define @t424 () (@quantifiers_skolemize @t327 5)) % 33.95/34.28 (define @t425 () (forall @t290 (or (not (tptp.append_succeeds @t256 @t414 @t424)) (= @t256 @t423)))) % 33.95/34.28 (define @t426 () (not @t425)) % 33.95/34.28 (define @t427 () (tptp.list_succeeds @t424)) % 33.95/34.28 (define @t428 () (and @t427 @t426)) % 33.95/34.28 (define @t429 () (tptp.append_succeeds @t423 @t414 @t424)) % 33.95/34.28 (define @t430 () (not @t429)) % 33.95/34.28 (define @t431 () (@quantifiers_skolemize @t327 3)) % 33.95/34.28 (define @t432 () (tptp.cons @t431 @t424)) % 33.95/34.28 (define @t433 () (= @t328 @t432)) % 33.95/34.28 (define @t434 () (not @t433)) % 33.95/34.28 (define @t435 () (tptp.cons @t431 @t423)) % 33.95/34.28 (define @t436 () (= @t412 @t435)) % 33.95/34.28 (define @t437 () (not @t436)) % 33.95/34.28 (define @t438 () (or @t437 @t434 @t430 @t428)) % 33.95/34.28 (define @t439 () (and @t438 @t422)) % 33.95/34.28 (define @t440 () (or @t439 @t417 @t416 @t413)) % 33.95/34.28 (define @t441 () (@list @t440)) % 33.95/34.28 (define @t442 () (= @t328 (|tptp.'**'| @t328 tptp.nil))) % 33.95/34.28 (define @t443 () (or @t417 @t442)) % 33.95/34.28 (define @t444 () (@list false false)) % 33.95/34.28 (define @t445 () (not @t113)) % 33.95/34.28 (define @t446 () (= @t5 @t89)) % 33.95/34.28 (define @t447 () (not @t446)) % 33.95/34.28 (define @t448 () (or @t447 @t97 @t445)) % 33.95/34.28 (define @t449 () (and @t446 @t93 @t113)) % 33.95/34.28 (define @t450 () (forall @t95 (not @t449))) % 33.95/34.28 (define @t451 () (not @t450)) % 33.95/34.28 (define @t452 () (= tptp.nil @t411)) % 33.95/34.28 (define @t453 () (and @t452 (= @t328 @t414))) % 33.95/34.28 (define @t454 () (not (tptp.append_succeeds @t3 @t414 @t7))) % 33.95/34.28 (define @t455 () (not (= @t328 @t92))) % 33.95/34.28 (define @t456 () (not (= @t5 @t411))) % 33.95/34.28 (define @t457 () (or @t456 @t455 @t454)) % 33.95/34.28 (define @t458 () (forall @t95 @t457)) % 33.95/34.28 (define @t459 () (not @t458)) % 33.95/34.28 (define @t460 () (or @t459 @t453)) % 33.95/34.28 (define @t461 () (= @t415 @t460)) % 33.95/34.28 (define @t462 () (= tptp.nil @t89)) % 33.95/34.28 (define @t463 () (forall @t96 (= @t118 (or (not (forall @t95 @t448)) (and @t462 @t111))))) % 33.95/34.28 (define @t464 () (and @t452 @t418)) % 33.95/34.28 (define @t465 () (forall @t95 (or @t456 (not (= @t92 @t328)) @t454))) % 33.95/34.28 (define @t466 () (not @t465)) % 33.95/34.28 (define @t467 () (or @t466 @t464)) % 33.95/34.28 (define @t468 () (= @t415 @t467)) % 33.95/34.28 (define @t469 () (@list false)) % 33.95/34.28 (define @t470 () (not @t413)) % 33.95/34.28 (define @t471 () (= tptp.nil @t435)) % 33.95/34.28 (define @t472 () (not @t471)) % 33.95/34.28 (define @t473 () (and @t436 @t472)) % 33.95/34.28 (define @t474 () (not @t440)) % 33.95/34.28 (define @t475 () (tptp.list_succeeds @t432)) % 33.95/34.28 (define @t476 () (and @t433 @t410)) % 33.95/34.28 (define @t477 () (forall @t243 (or (not @t242) @t236))) % 33.95/34.28 (define @t478 () (@list @t431 @t424)) % 33.95/34.28 (define @t479 () (not @t475)) % 33.95/34.28 (define @t480 () (or @t479 @t427)) % 33.95/34.28 (define @t481 () (not @t427)) % 33.95/34.28 (define @t482 () (@quantifiers_skolemize @t465 1)) % 33.95/34.28 (define @t483 () (tptp.append_succeeds @t482 @t414 @t424)) % 33.95/34.28 (define @t484 () (not @t483)) % 33.95/34.28 (define @t485 () (or @t484 (= @t482 @t423))) % 33.95/34.28 (define @t486 () (@quantifiers_skolemize @t465 0)) % 33.95/34.28 (define @t487 () (tptp.cons @t486 @t482)) % 33.95/34.28 (define @t488 () (= @t411 @t487)) % 33.95/34.28 (define @t489 () (@quantifiers_skolemize @t465 2)) % 33.95/34.28 (define @t490 () (tptp.append_succeeds @t482 @t414 @t489)) % 33.95/34.28 (define @t491 () (not @t490)) % 33.95/34.28 (define @t492 () (tptp.cons @t486 @t489)) % 33.95/34.28 (define @t493 () (= @t328 @t492)) % 33.95/34.28 (define @t494 () (not @t493)) % 33.95/34.28 (define @t495 () (not @t488)) % 33.95/34.28 (define @t496 () (or @t495 @t494 @t491)) % 33.95/34.28 (define @t497 () (= @t432 @t492)) % 33.95/34.28 (define @t498 () (and @t433 @t493)) % 33.95/34.28 (define @t499 () (@list @t431 @t424 @t486 @t489)) % 33.95/34.28 (define @t500 () (= @t424 @t489)) % 33.95/34.28 (define @t501 () (not @t497)) % 33.95/34.28 (define @t502 () (or @t501 @t500)) % 33.95/34.28 (define @t503 () (= @t431 @t486)) % 33.95/34.28 (define @t504 () (or @t501 @t503)) % 33.95/34.28 (define @t505 () (and @t490 @t500)) % 33.95/34.28 (define @t506 () (= @t423 @t482)) % 33.95/34.28 (define @t507 () (or @t484 @t506)) % 33.95/34.28 (define @t508 () (and @t436 @t488 @t503 @t506)) % 33.95/34.28 (define @t509 () (not @t496)) % 33.95/34.28 (define @t510 () (not (= @t492 @t328))) % 33.95/34.28 (define @t511 () (not (= @t487 @t411))) % 33.95/34.28 (define @t512 () (or @t511 @t510 @t491)) % 33.95/34.28 (define @t513 () (not @t512)) % 33.95/34.28 (define @t514 () (not @t464)) % 33.95/34.28 (define @t515 () (not (tptp.append_succeeds @t227 @t283 @t225))) % 33.95/34.28 (define @t516 () (not (= @t283 @t283))) % 33.95/34.28 (define @t517 () (or @t515 @t314 @t516)) % 33.95/34.28 (define @t518 () (@list @t161 @t227 @t225)) % 33.95/34.28 (define @t519 () (or @t284 @t331 @t314 @t284)) % 33.95/34.28 (define @t520 () (@list @t226)) % 33.95/34.28 (define @t521 () (or @t331 @t314 @t284)) % 33.95/34.28 (define @t522 () (forall @t520 @t521)) % 33.95/34.28 (define @t523 () (forall @t518 @t522)) % 33.95/34.28 (define @t524 () (forall (@list @t161 @t227 @t225 @t226) @t521)) % 33.95/34.28 (define @t525 () (tptp.append_succeeds @t423 @t432 @t424)) % 33.95/34.28 (define @t526 () (not @t525)) % 33.95/34.28 (define @t527 () (or @t526 @t481)) % 33.95/34.28 (define @t528 () (and @t433 @t429 @t418)) % 33.95/34.28 (define @t529 () (@list true false)) % 33.95/34.28 (define @t530 () (@list @t422)) % 33.95/34.28 (define @t531 () (not @t452)) % 33.95/34.28 (define @t532 () (and @t420 @t470)) % 33.95/34.28 (define @t533 () (@list @t496)) % 33.95/34.28 (define @t534 () (forall @t132 (not @t131))) % 33.95/34.28 (define @t535 () (not @t534)) % 33.95/34.28 (define @t536 () (= tptp.nil @t328)) % 33.95/34.28 (define @t537 () (not @t128)) % 33.95/34.28 (define @t538 () (not (= @t328 @t129))) % 33.95/34.28 (define @t539 () (or @t538 @t537)) % 33.95/34.28 (define @t540 () (forall @t132 @t539)) % 33.95/34.28 (define @t541 () (not @t540)) % 33.95/34.28 (define @t542 () (or @t541 @t536)) % 33.95/34.28 (define @t543 () (= @t410 @t542)) % 33.95/34.28 (define @t544 () (forall @t137 (= @t135 (or (not (forall @t132 (or @t139 @t537))) @t462)))) % 33.95/34.28 (define @t545 () (forall @t132 (or (not (= @t129 @t328)) @t537))) % 33.95/34.28 (define @t546 () (not @t545)) % 33.95/34.28 (define @t547 () (or @t546 @t536)) % 33.95/34.28 (define @t548 () (= @t410 @t547)) % 33.95/34.28 (define @t549 () (@quantifiers_skolemize @t545 1)) % 33.95/34.28 (define @t550 () (@quantifiers_skolemize @t545 0)) % 33.95/34.28 (define @t551 () (tptp.cons @t550 @t549)) % 33.95/34.28 (define @t552 () (= @t328 @t551)) % 33.95/34.28 (define @t553 () (tptp.list_succeeds @t549)) % 33.95/34.28 (define @t554 () (not @t553)) % 33.95/34.28 (define @t555 () (not @t552)) % 33.95/34.28 (define @t556 () (or @t555 @t554)) % 33.95/34.28 (define @t557 () (tptp.cons @t486 @t549)) % 33.95/34.28 (define @t558 () (tptp.append_succeeds @t482 @t557 @t549)) % 33.95/34.28 (define @t559 () (not @t558)) % 33.95/34.28 (define @t560 () (or @t559 @t554)) % 33.95/34.28 (define @t561 () (= @t551 @t492)) % 33.95/34.28 (define @t562 () (and @t552 @t493)) % 33.95/34.28 (define @t563 () (= @t549 @t489)) % 33.95/34.28 (define @t564 () (not @t561)) % 33.95/34.28 (define @t565 () (or @t564 @t563)) % 33.95/34.28 (define @t566 () (not @t563)) % 33.95/34.28 (define @t567 () (and @t490 @t418 @t493 @t563 @t559)) % 33.95/34.28 (define @t568 () (not @t556)) % 33.95/34.28 (define @t569 () (not (= @t551 @t328))) % 33.95/34.28 (define @t570 () (or @t569 @t554)) % 33.95/34.28 (define @t571 () (not @t570)) % 33.95/34.28 (define @t572 () (= tptp.nil @t492)) % 33.95/34.28 (define @t573 () (not @t442)) % 33.95/34.28 (define @t574 () (not @t536)) % 33.95/34.28 (define @t575 () (not @t572)) % 33.95/34.28 (define @t576 () (and @t575 @t536 @t493 @t442)) % 33.95/34.28 (assume @p1 (not (= |tptp.'0'| tptp.nil))) % 33.95/34.28 (assume @p2 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 33.95/34.28 (assume @p3 (forall @t6 (not (= |tptp.'0'| @t5)))) % 33.95/34.28 (assume @p4 (forall (@list @t7) (not (= tptp.nil (tptp.s @t7))))) % 33.95/34.28 (assume @p5 @t10) % 33.95/34.28 (assume @p6 (forall (@list @t12 @t11) (=> (= (tptp.s @t12) (tptp.s @t11)) (= @t12 @t11)))) % 33.95/34.28 (assume @p7 (forall (@list @t15 @t14 @t13) (not (= (tptp.s @t15) (tptp.cons @t14 @t13))))) % 33.95/34.28 (assume @p8 @t22) % 33.95/34.28 (assume @p9 @t29) % 33.95/34.28 (assume @p10 (tptp.gr |tptp.'0'|)) % 33.95/34.28 (assume @p11 (tptp.gr tptp.nil)) % 33.95/34.28 (assume @p12 (forall (@list @t30) (= (tptp.gr @t30) (tptp.gr (tptp.s @t30))))) % 33.95/34.28 (assume @p13 (forall (@list @t32 @t31) (= (and (tptp.gr @t32) (tptp.gr @t31)) (tptp.gr (tptp.cons @t32 @t31))))) % 33.95/34.28 (assume @p14 (forall @t38 (not (and @t37 @t36)))) % 33.95/34.28 (assume @p15 (forall @t38 (=> (tptp.delete_terminates @t35 @t34 @t33) (or @t37 @t36)))) % 33.95/34.28 (assume @p16 (forall @t43 (not (and @t42 @t41)))) % 33.95/34.28 (assume @p17 (forall @t43 (=> (tptp.length_terminates @t40 @t39) (or @t42 @t41)))) % 33.95/34.28 (assume @p18 (forall @t49 (not (and @t48 @t47)))) % 33.95/34.28 (assume @p19 (forall @t49 (=> (tptp.append_terminates @t46 @t45 @t44) (or @t48 @t47)))) % 33.95/34.28 (assume @p20 (forall @t54 (not (and @t53 @t52)))) % 33.95/34.28 (assume @p21 (forall @t54 (=> (tptp.member_terminates @t51 @t50) (or @t53 @t52)))) % 33.95/34.28 (assume @p22 (forall @t58 (not (and @t57 @t56)))) % 33.95/34.28 (assume @p23 (forall @t58 (=> (tptp.list_terminates @t55) (or @t57 @t56)))) % 33.95/34.28 (assume @p24 (forall @t62 (not (and @t61 @t60)))) % 33.95/34.28 (assume @p25 (forall @t62 (=> (tptp.nat_list_terminates @t59) (or @t61 @t60)))) % 33.95/34.28 (assume @p26 (forall @t68 (not (and @t67 @t66)))) % 33.95/34.28 (assume @p27 (forall @t68 (=> (tptp.times_terminates @t65 @t64 @t63) (or @t67 @t66)))) % 33.95/34.28 (assume @p28 (forall @t74 (not (and @t73 @t72)))) % 33.95/34.28 (assume @p29 (forall @t74 (=> (tptp.plus_terminates @t71 @t70 @t69) (or @t73 @t72)))) % 33.95/34.28 (assume @p30 (forall @t79 (not (and @t78 @t77)))) % 33.95/34.28 (assume @p31 (forall @t79 (=> (|tptp.'@=<_terminates'| @t76 @t75) (or @t78 @t77)))) % 33.95/34.28 (assume @p32 (forall @t84 (not (and @t83 @t82)))) % 33.95/34.28 (assume @p33 (forall @t84 (=> (|tptp.'@<_terminates'| @t81 @t80) (or @t83 @t82)))) % 33.95/34.28 (assume @p34 (forall @t88 (not (and @t87 @t86)))) % 33.95/34.28 (assume @p35 (forall @t88 (=> (tptp.nat_terminates @t85) (or @t87 @t86)))) % 33.95/34.28 (assume @p36 (forall @t96 (= (tptp.delete_succeeds @t89 @t90 @t1) (or (exists @t95 (and @t94 @t93 (tptp.delete_succeeds @t89 @t3 @t7))) @t91)))) % 33.95/34.28 (assume @p37 (forall @t96 (= (tptp.delete_fails @t89 @t90 @t1) (and (forall @t95 (or @t98 @t97 (tptp.delete_fails @t89 @t3 @t7))) (not @t91))))) % 33.95/34.28 (assume @p38 (forall @t96 (= (tptp.delete_terminates @t89 @t90 @t1) (and (forall @t95 (and true (or @t98 (and true (or @t97 (tptp.delete_terminates @t89 @t3 @t7)))))) true)))) % 33.95/34.28 (assume @p39 (forall @t106 (= (tptp.length_succeeds @t89 @t90) (or (exists @t105 (and @t104 @t102 (tptp.length_succeeds @t4 @t3))) (and @t100 @t99))))) % 33.95/34.28 (assume @p40 (forall @t106 (= (tptp.length_fails @t89 @t90) (and (forall @t105 (or @t109 @t108 (tptp.length_fails @t4 @t3))) (or @t107 (not @t99)))))) % 33.95/34.28 (assume @p41 (forall @t106 (= (tptp.length_terminates @t89 @t90) (and (forall @t105 (and true (or @t109 (and true (or @t108 (tptp.length_terminates @t4 @t3)))))) true @t110)))) % 33.95/34.28 (assume @p42 @t120) % 33.95/34.28 (assume @p43 (forall @t96 (= (tptp.append_fails @t89 @t90 @t1) (and (forall @t95 (or @t122 @t97 (tptp.append_fails @t3 @t90 @t7))) (or @t107 @t121))))) % 33.95/34.28 (assume @p44 (forall @t96 (= (tptp.append_terminates @t89 @t90 @t1) (and (forall @t95 (and true (or @t122 (and true (or @t97 (tptp.append_terminates @t3 @t90 @t7)))))) true @t110)))) % 33.95/34.28 (assume @p45 (forall @t106 (= (tptp.member_succeeds @t89 @t90) (or (exists @t126 (and @t125 (tptp.member_succeeds @t89 @t4))) (exists @t124 @t123))))) % 33.95/34.28 (assume @p46 (forall @t106 (= (tptp.member_fails @t89 @t90) (and (forall @t126 (or @t127 (tptp.member_fails @t89 @t4))) (forall @t124 (not @t123)))))) % 33.95/34.28 (assume @p47 (forall @t106 (= (tptp.member_terminates @t89 @t90) (and (forall @t126 (and true (or @t127 (tptp.member_terminates @t89 @t4)))) (forall @t124 true))))) % 33.95/34.28 (assume @p48 @t138) % 33.95/34.28 (assume @p49 (forall @t137 (= (tptp.list_fails @t89) (and (forall @t132 (or @t139 (tptp.list_fails @t1))) @t107)))) % 33.95/34.28 (assume @p50 (forall @t137 (= (tptp.list_terminates @t89) (and (forall @t132 (and true (or @t139 (tptp.list_terminates @t1)))) true)))) % 33.95/34.28 (assume @p51 (forall @t137 (= (tptp.nat_list_succeeds @t89) (or (exists @t132 (and @t130 @t140 (tptp.nat_list_succeeds @t1))) @t100)))) % 33.95/34.28 (assume @p52 (forall @t137 (= (tptp.nat_list_fails @t89) (and (forall @t132 (or @t139 @t141 (tptp.nat_list_fails @t1))) @t107)))) % 33.95/34.28 (assume @p53 (forall @t137 (= (tptp.nat_list_terminates @t89) (and (forall @t132 (and true (or @t139 (and @t142 (or @t141 (tptp.nat_list_terminates @t1)))))) true)))) % 33.95/34.28 (assume @p54 (forall @t96 (= (tptp.times_succeeds @t89 @t90 @t1) (or (exists @t6 (and @t146 (tptp.times_succeeds @t4 @t90 @t3) (tptp.plus_succeeds @t90 @t3 @t1))) (and @t144 @t143))))) % 33.95/34.28 (assume @p55 (forall @t96 (= (tptp.times_fails @t89 @t90 @t1) (and (forall @t6 (or @t149 @t148 (tptp.plus_fails @t90 @t3 @t1))) (or @t147 (not @t143)))))) % 33.95/34.28 (assume @p56 (forall @t96 (= (tptp.times_terminates @t89 @t90 @t1) (and (forall @t6 (and true (or @t149 (and (tptp.times_terminates @t4 @t90 @t3) (or @t148 (tptp.plus_terminates @t90 @t3 @t1)))))) true @t150)))) % 33.95/34.28 (assume @p57 (forall @t96 (= (tptp.plus_succeeds @t89 @t90 @t1) (or (exists @t6 (and @t146 @t151 (tptp.plus_succeeds @t4 @t90 @t3))) (and @t144 @t111))))) % 33.95/34.28 (assume @p58 (forall @t96 (= (tptp.plus_fails @t89 @t90 @t1) (and (forall @t6 (or @t149 @t152 (tptp.plus_fails @t4 @t90 @t3))) (or @t147 @t121))))) % 33.95/34.28 (assume @p59 (forall @t96 (= (tptp.plus_terminates @t89 @t90 @t1) (and (forall @t6 (and true (or @t149 (and true (or @t152 (tptp.plus_terminates @t4 @t90 @t3)))))) true @t150)))) % 33.95/34.28 (assume @p60 (forall @t106 (= (|tptp.'@=<_succeeds'| @t89 @t90) (or (exists @t126 (and @t154 @t153 (|tptp.'@=<_succeeds'| @t1 @t4))) @t144)))) % 33.95/34.28 (assume @p61 (forall @t106 (= (|tptp.'@=<_fails'| @t89 @t90) (and (forall @t126 (or @t156 @t155 (|tptp.'@=<_fails'| @t1 @t4))) @t147)))) % 33.95/34.28 (assume @p62 (forall @t106 (= (|tptp.'@=<_terminates'| @t89 @t90) (and (forall @t126 (and true (or @t156 (and true (or @t155 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 33.95/34.28 (assume @p63 (forall @t106 (= (|tptp.'@<_succeeds'| @t89 @t90) (or (exists @t126 (and @t154 @t153 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t124 (and @t144 @t102)))))) % 33.95/34.28 (assume @p64 (forall @t106 (= (|tptp.'@<_fails'| @t89 @t90) (and (forall @t126 (or @t156 @t155 (|tptp.'@<_fails'| @t1 @t4))) (forall @t124 (or @t147 @t108)))))) % 33.95/34.28 (assume @p65 (forall @t106 (= (|tptp.'@<_terminates'| @t89 @t90) (and (forall @t126 (and true (or @t156 (and true (or @t155 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t124 (and true @t150)))))) % 33.95/34.28 (assume @p66 (forall @t137 (= @t159 (or (exists @t158 (and @t157 @t140)) @t144)))) % 33.95/34.28 (assume @p67 (forall @t137 (= (tptp.nat_fails @t89) (and (forall @t158 (or @t160 @t141)) @t147)))) % 33.95/34.28 (assume @p68 (forall @t137 (= (tptp.nat_terminates @t89) (and (forall @t158 (and true (or @t160 @t142))) true)))) % 33.95/34.28 (assume @p69 (forall @t163 (=> @t162 (tptp.nat_terminates @t161)))) % 33.95/34.28 (assume @p70 (forall @t163 (=> @t162 @t164))) % 33.95/34.28 (assume @p71 (forall @t168 (=> @t162 @t167))) % 33.95/34.28 (assume @p72 (forall @t168 (=> @t169 @t167))) % 33.95/34.28 (assume @p73 (forall @t168 (=> @t170 @t162))) % 33.95/34.28 (assume @p74 (forall @t168 (=> (and @t170 @t171) @t169))) % 33.95/34.28 (assume @p75 (forall @t168 (=> (and @t170 @t169) @t171))) % 33.95/34.28 (assume @p76 (forall @t168 (=> @t170 @t167))) % 33.95/34.28 (assume @p77 (forall @t168 (=> @t170 @t164))) % 33.95/34.28 (assume @p78 (forall @t168 (=> (and @t170 @t173) @t172))) % 33.95/34.28 (assume @p79 (forall @t168 (=> (and @t170 @t172) @t173))) % 33.95/34.28 (assume @p80 (forall @t175 (=> @t162 (exists @t174 @t170)))) % 33.95/34.28 (assume @p81 (forall @t179 (=> (and (tptp.plus_succeeds @t161 @t166 @t177) (tptp.plus_succeeds @t161 @t166 @t176)) @t178))) % 33.95/34.28 (assume @p82 (forall @t180 (= (|tptp.'@+'| |tptp.'0'| @t166) @t166))) % 33.95/34.28 (assume @p83 (forall @t175 (=> @t162 (= @t183 (tptp.s @t181))))) % 33.95/34.28 (assume @p84 (forall @t175 (=> @t184 (tptp.nat_succeeds @t181)))) % 33.95/34.28 (assume @p85 (forall @t168 (=> @t186 (= (|tptp.'@+'| @t181 @t165) (|tptp.'@+'| @t161 @t185))))) % 33.95/34.28 (assume @p86 (forall @t163 (=> @t162 (= (|tptp.'@+'| @t161 |tptp.'0'|) @t161)))) % 33.95/34.28 (assume @p87 (forall @t175 (=> @t184 (= @t188 @t183)))) % 33.95/34.28 (assume @p88 (forall @t175 (=> @t184 (= @t181 @t189)))) % 33.95/34.28 (assume @p89 (forall @t168 (=> (and @t162 (= @t181 @t190)) (= @t166 @t165)))) % 33.95/34.28 (assume @p90 (forall @t168 (=> @t191 @t162))) % 33.95/34.28 (assume @p91 (forall @t168 (=> (and @t191 @t171) @t169))) % 33.95/34.28 (assume @p92 (forall @t168 (=> @t191 @t164))) % 33.95/34.28 (assume @p93 (forall @t168 (=> (and @t191 @t173) @t172))) % 33.95/34.28 (assume @p94 (forall @t168 (=> @t184 (tptp.times_terminates @t161 @t166 @t165)))) % 33.95/34.28 (assume @p95 (forall @t175 (=> @t184 (exists @t174 @t191)))) % 33.95/34.28 (assume @p96 (forall @t179 (=> (and (tptp.times_succeeds @t161 @t166 @t177) (tptp.times_succeeds @t161 @t166 @t176)) @t178))) % 33.95/34.28 (assume @p97 (forall @t180 (=> @t171 (= (|tptp.'@*'| |tptp.'0'| @t166) |tptp.'0'|)))) % 33.95/34.28 (assume @p98 (forall @t175 (=> @t184 (= @t193 (|tptp.'@+'| @t166 @t192))))) % 33.95/34.28 (assume @p99 (forall @t175 (=> @t184 (tptp.nat_succeeds @t192)))) % 33.95/34.28 (assume @p100 (forall @t168 (=> @t186 (= (|tptp.'@*'| @t181 @t165) (|tptp.'@+'| @t195 @t194))))) % 33.95/34.28 (assume @p101 (forall @t168 (=> @t186 (= (|tptp.'@*'| @t192 @t165) (|tptp.'@*'| @t161 @t194))))) % 33.95/34.28 (assume @p102 (forall @t163 (=> @t162 (= (|tptp.'@*'| @t161 |tptp.'0'|) |tptp.'0'|)))) % 33.95/34.28 (assume @p103 (forall (@list @t166 @t161) (=> (and @t171 @t162) (= (|tptp.'@+'| @t196 @t166) (|tptp.'@*'| @t166 @t182))))) % 33.95/34.28 (assume @p104 (forall @t175 (=> @t184 (= @t192 @t196)))) % 33.95/34.28 (assume @p105 (forall @t163 (=> @t162 (= (|tptp.'@*'| @t197 @t161) @t161)))) % 33.95/34.28 (assume @p106 (forall @t163 (=> @t162 (= (|tptp.'@*'| @t161 @t197) @t161)))) % 33.95/34.28 (assume @p107 (forall @t168 (=> @t186 (= (|tptp.'@*'| @t165 @t181) (|tptp.'@+'| (|tptp.'@*'| @t165 @t161) (|tptp.'@*'| @t165 @t166)))))) % 33.95/34.28 (assume @p108 (forall @t175 (=> @t162 @t198))) % 33.95/34.28 (assume @p109 (forall @t175 (=> @t171 @t198))) % 33.95/34.28 (assume @p110 (forall @t175 (=> @t199 @t162))) % 33.95/34.28 (assume @p111 (forall @t175 (=> @t199 (exists @t174 (= @t166 @t200))))) % 33.95/34.28 (assume @p112 (forall @t168 (=> (and @t199 (|tptp.'@<_succeeds'| @t166 @t200)) @t201))) % 33.95/34.28 (assume @p113 (forall @t175 (=> @t199 @t202))) % 33.95/34.28 (assume @p114 (forall @t168 (=> (and @t199 @t203) @t201))) % 33.95/34.28 (assume @p115 (forall @t163 (=> @t162 (|tptp.'@<_fails'| @t161 @t161)))) % 33.95/34.28 (assume @p116 (forall @t163 (=> @t162 (not (|tptp.'@<_succeeds'| @t161 @t161))))) % 33.95/34.28 (assume @p117 (forall @t163 (=> @t162 (|tptp.'@<_succeeds'| @t161 @t182)))) % 33.95/34.28 (assume @p118 (forall @t175 (=> (and @t171 @t202) @t205))) % 33.95/34.28 (assume @p119 (forall @t175 (=> @t184 (or @t199 @t204 (|tptp.'@<_succeeds'| @t166 @t161))))) % 33.95/34.28 (assume @p120 (forall @t163 (=> (and @t162 @t206) (|tptp.'@<_succeeds'| |tptp.'0'| @t161)))) % 33.95/34.28 (assume @p121 (forall @t175 (=> @t162 (|tptp.'@=<_terminates'| @t161 @t166)))) % 33.95/34.28 (assume @p122 (forall @t175 (=> @t207 @t162))) % 33.95/34.28 (assume @p123 (forall @t175 (=> @t207 (exists @t174 (tptp.plus_succeeds @t161 @t165 @t166))))) % 33.95/34.28 (assume @p124 (forall @t175 (=> @t207 (exists @t174 (= @t190 @t166))))) % 33.95/34.28 (assume @p125 (forall @t175 (=> @t199 (exists @t174 (tptp.plus_succeeds @t161 @t200 @t166))))) % 33.95/34.28 (assume @p126 (forall @t175 (=> @t199 (exists @t174 (= (|tptp.'@+'| @t161 @t200) @t166))))) % 33.95/34.28 (assume @p127 (forall @t175 (=> @t199 @t207))) % 33.95/34.28 (assume @p128 (forall @t163 (=> @t162 (|tptp.'@=<_succeeds'| @t161 @t161)))) % 33.95/34.28 (assume @p129 (forall @t175 (=> @t184 (or @t207 @t208)))) % 33.95/34.28 (assume @p130 (forall @t175 (=> @t184 (or @t199 @t208)))) % 33.95/34.28 (assume @p131 (forall @t175 (=> (and @t162 @t171 (|tptp.'@=<_fails'| @t161 @t166)) @t208))) % 33.95/34.28 (assume @p132 (forall @t175 (=> (and @t207 @t171) @t205))) % 33.95/34.28 (assume @p133 (forall @t168 (=> (and @t207 @t203) @t201))) % 33.95/34.28 (assume @p134 (forall @t168 (=> (and @t199 @t209) @t201))) % 33.95/34.28 (assume @p135 (forall @t168 (=> (and @t207 @t209) (|tptp.'@=<_succeeds'| @t161 @t165)))) % 33.95/34.28 (assume @p136 (forall @t175 (=> (and @t207 @t208) @t204))) % 33.95/34.28 (assume @p137 (forall @t163 (=> @t162 (|tptp.'@=<_succeeds'| @t161 @t182)))) % 33.95/34.28 (assume @p138 (forall @t163 (=> @t162 (|tptp.'@=<_fails'| @t182 @t161)))) % 33.95/34.28 (assume @p139 (forall @t168 (=> (and @t162 @t203) @t210))) % 33.95/34.28 (assume @p140 (forall @t175 (=> @t162 (|tptp.'@<_succeeds'| @t161 @t188)))) % 33.95/34.28 (assume @p141 (forall @t168 (=> (and @t199 @t171 @t169) @t211))) % 33.95/34.28 (assume @p142 (forall @t175 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t166) @t162 @t171) (|tptp.'@<_succeeds'| @t161 @t189)))) % 33.95/34.28 (assume @p143 (forall @t168 (=> (and @t162 @t209) @t212))) % 33.95/34.28 (assume @p144 (forall @t168 (=> @t213 (|tptp.'@=<_succeeds'| @t190 @t185)))) % 33.95/34.28 (assume @p145 (forall @t175 (=> @t162 (|tptp.'@=<_succeeds'| @t161 @t181)))) % 33.95/34.28 (assume @p146 (forall @t175 (=> @t184 (|tptp.'@=<_succeeds'| @t166 @t181)))) % 33.95/34.28 (assume @p147 (forall @t168 (=> (and @t162 @t210) @t203))) % 33.95/34.28 (assume @p148 (forall @t168 (=> (and @t162 @t171 @t169 @t211) @t199))) % 33.95/34.28 (assume @p149 (forall @t168 (=> (and @t162 @t212) @t209))) % 33.95/34.28 (assume @p150 (forall @t221 (=> (and @t220 @t219 @t218) (|tptp.'@=<_succeeds'| @t217 @t216)))) % 33.95/34.28 (assume @p151 (forall @t221 (=> (and @t223 @t219 @t218) @t222))) % 33.95/34.28 (assume @p152 (forall @t221 (=> (and @t220 @t224 @t218) @t222))) % 33.95/34.28 (assume @p153 (forall @t221 (=> (and @t223 @t224 @t218) @t222))) % 33.95/34.28 (assume @p154 (forall @t168 (=> (and @t162 @t209 @t169) (|tptp.'@=<_succeeds'| @t192 @t195)))) % 33.95/34.28 (assume @p155 (forall @t168 (=> @t213 (|tptp.'@=<_succeeds'| @t195 @t194)))) % 33.95/34.28 (assume @p156 (forall @t168 (=> (and @t162 @t206 @t203 @t169) (|tptp.'@<_succeeds'| @t192 @t195)))) % 33.95/34.28 (assume @p157 (forall @t168 (=> (and @t162 @t171 @t169 (|tptp.'@=<_succeeds'| @t193 (|tptp.'@*'| @t182 @t165))) @t209))) % 33.95/34.28 (assume @p158 (forall (@list @t89 @t90 @t166) (=> (and @t159 @t140 @t171 (= (|tptp.'@+'| @t89 @t166) (|tptp.'@+'| @t90 @t166))) (= @t89 @t90)))) % 33.95/34.28 (assume @p159 (forall @t231 (=> @t230 (= (= @t229 @t225) @t228)))) % 33.95/34.28 (assume @p160 (forall @t237 (=> @t236 (= (= @t235 @t232) @t234)))) % 33.95/34.28 (assume @p161 (forall @t240 (= (tptp.sub @t227 @t226) (forall @t163 (=> @t239 @t238))))) % 33.95/34.28 (assume @p162 (forall @t163 (tptp.list_succeeds (tptp.cons @t161 tptp.nil)))) % 33.95/34.28 (assume @p163 (forall @t175 (tptp.list_succeeds (tptp.cons @t161 (tptp.cons @t166 tptp.nil))))) % 33.95/34.28 (assume @p164 (forall @t168 (tptp.list_succeeds (tptp.cons @t161 (tptp.cons @t166 (tptp.cons @t165 tptp.nil)))))) % 33.95/34.28 (assume @p165 @t244) % 33.95/34.28 (assume @p166 (forall @t245 (=> @t236 (tptp.list_terminates @t233)))) % 33.95/34.28 (assume @p167 (forall @t243 (=> @t236 (tptp.member_terminates @t161 @t233)))) % 33.95/34.28 (assume @p168 (forall @t243 (=> @t236 (or @t246 (tptp.member_fails @t161 @t233))))) % 33.95/34.28 (assume @p169 (forall @t243 (=> (and @t246 (tptp.gr @t233)) @t164))) % 33.95/34.28 (assume @p170 (forall (@list @t161 @t166 @t165 @t233) (=> (and (tptp.member_succeeds @t161 (tptp.cons @t166 @t233)) (not @t204)) @t246))) % 33.95/34.28 (assume @p171 (forall @t231 (=> @t228 @t230))) % 33.95/34.28 (assume @p172 (forall @t231 (=> (and @t228 @t248) @t247))) % 33.95/34.28 (assume @p173 (forall @t231 (=> @t249 @t248))) % 33.95/34.28 (assume @p174 (forall @t231 (=> @t249 @t250))) % 33.95/34.28 (assume @p175 (forall @t231 (=> @t230 @t251))) % 33.95/34.28 (assume @p176 (forall @t231 (=> @t247 @t251))) % 33.95/34.28 (assume @p177 (forall @t231 (=> (and @t228 @t254 @t253) @t252))) % 33.95/34.28 (assume @p178 (forall @t231 (=> (and @t228 @t252) @t255))) % 33.95/34.28 (assume @p179 (forall @t240 (=> @t230 (exists (@list @t225) @t228)))) % 33.95/34.28 (assume @p180 (forall @t257 (=> (and @t228 (tptp.append_succeeds @t227 @t226 @t256)) (= @t225 @t256)))) % 33.95/34.28 (assume @p181 (forall @t245 (= (|tptp.'**'| tptp.nil @t233) @t233))) % 33.95/34.28 (assume @p182 (forall @t258 (=> @t230 (= (|tptp.'**'| (tptp.cons @t161 @t227) @t226) (tptp.cons @t161 @t229))))) % 33.95/34.28 (assume @p183 (forall @t240 (=> @t250 @t259))) % 33.95/34.28 (assume @p184 (forall @t240 (=> (and @t230 @t259) @t248))) % 33.95/34.28 (assume @p185 (forall @t240 (=> (and @t230 @t254 @t253) @t260))) % 33.95/34.28 (assume @p186 (forall @t240 (=> (and @t230 @t260) @t255))) % 33.95/34.28 (assume @p187 (forall @t231 (=> @t250 (= (|tptp.'**'| @t229 @t225) (|tptp.'**'| @t227 (|tptp.'**'| @t226 @t225)))))) % 33.95/34.28 (assume @p188 @t263) % 33.95/34.28 (assume @p189 (forall @t237 (=> @t234 (and @t236 (tptp.nat_succeeds @t232))))) % 33.95/34.28 (assume @p190 (forall @t237 (=> @t236 (tptp.length_terminates @t233 @t232)))) % 33.95/34.28 (assume @p191 (forall @t237 (=> @t234 (tptp.gr @t232)))) % 33.95/34.28 (assume @p192 (forall @t245 (=> @t236 (exists (@list @t232) @t234)))) % 33.95/34.28 (assume @p193 (forall (@list @t233 @t264 @t232) (=> (and (tptp.length_succeeds @t233 @t264) @t234) (= @t264 @t232)))) % 33.95/34.28 (assume @p194 (= (tptp.lh tptp.nil) |tptp.'0'|)) % 33.95/34.28 (assume @p195 (forall @t243 (=> @t236 (= @t265 (tptp.s @t235))))) % 33.95/34.28 (assume @p196 (forall @t245 (=> @t236 (tptp.nat_succeeds @t235)))) % 33.95/34.28 (assume @p197 (forall @t245 (=> (and @t236 (= @t235 |tptp.'0'|)) (= @t233 tptp.nil)))) % 33.95/34.28 (assume @p198 (forall (@list @t232 @t227) (=> (and @t230 (= @t267 (tptp.s @t232))) (exists (@list @t161 @t226) (= @t227 @t266))))) % 33.95/34.28 (assume @p199 (forall @t240 (=> @t250 (= @t270 @t269)))) % 33.95/34.28 (assume @p200 (forall @t240 (=> @t250 (|tptp.'@=<_succeeds'| @t267 @t270)))) % 33.95/34.28 (assume @p201 (forall @t240 (=> @t250 (|tptp.'@=<_succeeds'| @t268 @t270)))) % 33.95/34.28 (assume @p202 (forall @t243 (=> @t236 (|tptp.'@=<_succeeds'| @t235 @t265)))) % 33.95/34.28 (assume @p203 (forall @t231 (=> @t249 (= @t269 @t271)))) % 33.95/34.28 (assume @p204 (forall @t231 (=> @t249 (|tptp.'@=<_succeeds'| @t267 @t271)))) % 33.95/34.28 (assume @p205 (forall @t231 (=> @t249 (|tptp.'@=<_succeeds'| @t268 @t271)))) % 33.95/34.28 (assume @p206 (forall (@list @t161 @t272) (tptp.sub @t272 @t273))) % 33.95/34.28 (assume @p207 (forall @t245 (tptp.sub @t233 @t233))) % 33.95/34.28 (assume @p208 (forall (@list @t272 @t275 @t274) (=> (and @t276 (tptp.sub @t275 @t274)) (tptp.sub @t272 @t274)))) % 33.95/34.28 (assume @p209 (forall @t245 (tptp.sub tptp.nil @t233))) % 33.95/34.28 (assume @p210 (forall @t277 (=> (and @t276 (tptp.member_succeeds @t161 @t275)) (tptp.sub @t273 @t275)))) % 33.95/34.28 (assume @p211 (forall @t277 (=> @t276 (tptp.sub @t273 (tptp.cons @t161 @t275))))) % 33.95/34.28 (assume @p212 (forall (@list @t161 @t225) (=> @t279 (exists @t240 @t278)))) % 33.95/34.28 (assume @p213 (forall @t280 (=> (and @t228 @t239) @t279))) % 33.95/34.28 (assume @p214 (forall @t280 (=> (and @t228 @t238) @t279))) % 33.95/34.28 (assume @p215 (forall @t258 (=> (and @t239 @t230) @t281))) % 33.95/34.28 (assume @p216 (forall @t258 (=> (and @t238 @t230) @t281))) % 33.95/34.28 (assume @p217 (forall @t280 (=> @t278 @t279))) % 33.95/34.28 (assume @p218 (forall @t280 (=> (and @t228 @t279) @t282))) % 33.95/34.28 (assume @p219 (forall @t258 (=> (and @t230 @t281) @t282))) % 33.95/34.28 (assume @p220 (forall @t240 (=> @t230 (tptp.sub @t227 @t229)))) % 33.95/34.28 (assume @p221 (forall @t240 (=> @t230 (tptp.sub @t226 @t229)))) % 33.95/34.28 (assume @p222 @t285) % 33.95/34.28 (assume @p223 (forall @t240 (=> (and (tptp.append_succeeds @t227 @t226 @t226) @t248) @t286))) % 33.95/34.28 (assume @p224 @t306) % 33.95/34.28 (assume @p225 @t309) % 33.95/34.28 (assume @p226 true) % 33.95/34.28 (step @p227 :rule bool-impl-elim :args (@t236 @t310)) % 33.95/34.28 (step @p228 :rule cong :premises (@p227) :args ((forall @t245 (=> @t236 @t310)))) % 33.95/34.28 (step @p229 :rule eq-symm :args (@t261 @t233)) % 33.95/34.28 (step @p230 :rule refl :args (@t236)) % 33.95/34.28 (step @p231 :rule cong :premises (@p230 @p229) :args (@t262)) % 33.95/34.28 (step @p232 :rule cong :premises (@p231) :args (@t263)) % 33.95/34.28 (step @p233 :rule trans :premises (@p232 @p228)) % 33.95/34.28 (step @p234 :rule eq_resolve :premises (@p188 @p233)) % 33.95/34.28 (step @p235 :rule instantiate :premises (@p234) :args (@t329)) % 33.95/34.28 (step @p236 :rule aci_norm :args ((= (or @t333 @t287) @t332))) % 33.95/34.28 (step @p237 :rule refl :args (@t287)) % 33.95/34.28 (step @p238 :rule aci_norm :args ((= (or @t331 (or @t330 @t314)) @t333))) % 33.95/34.28 (step @p239 :rule bool-and-de-morgan :args (@t288 @t247 true)) % 33.95/34.28 (step @p240 :rule refl :args (@t331)) % 33.95/34.28 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t331 (not (and @t288 @t247))))) % 33.95/34.28 (step @p242 :rule bool-and-de-morgan :args (@t228 @t288 (and @t247))) % 33.95/34.28 (step @p243 :rule trans :premises (@p242 @p241)) % 33.95/34.28 (step @p244 :rule trans :premises (@p243 @p238)) % 33.95/34.28 (step @p245 :rule nary_cong :premises (@p244 @p237) :args ((or (not @t307) @t287))) % 33.95/34.28 (step @p246 :rule trans :premises (@p245 @p236)) % 33.95/34.28 (step @p247 :rule bool-impl-elim :args (@t307 @t287)) % 33.95/34.28 (step @p248 :rule trans :premises (@p247 @p246)) % 33.95/34.28 (step @p249 :rule cong :premises (@p248) :args (@t308)) % 33.95/34.28 (step @p250 :rule cong :premises (@p249) :args (@t309)) % 33.95/34.28 (step @p251 :rule eq_resolve :premises (@p225 @p250)) % 33.95/34.28 (step @p252 :rule aci_norm :args ((= @t332 @t334))) % 33.95/34.28 (step @p253 :rule cong :premises (@p252) :args (@t335)) % 33.95/34.28 (step @p254 :rule symm :premises (@p253)) % 33.95/34.28 (step @p255 :rule true_intro :premises (@p254)) % 33.95/34.28 (step @p256 :rule eq-symm :args (@t335 @t336)) % 33.95/34.28 (step @p257 :rule trans :premises (@p256 @p255)) % 33.95/34.28 (step @p258 :rule cong :premises (@p254 @p253) :args ((= @t336 @t335))) % 33.95/34.28 (step @p259 :rule trans :premises (@p258 @p257)) % 33.95/34.28 (step @p260 :rule true_elim :premises (@p259)) % 33.95/34.28 (step @p261 :rule alpha_equiv :args ((forall (@list @t338 @t340 @t339 @t337) (or (not (tptp.append_succeeds @t338 @t340 @t339)) (not (tptp.list_succeeds @t339)) (not (tptp.append_succeeds @t337 @t340 @t339)) (= @t338 @t337))) @t341 (@list @t227 @t256 @t226 @t225))) % 33.95/34.28 (step @p262 :rule alpha_equiv :args (@t347 (@list @t227 @t342 @t226 @t225) @t341)) % 33.95/34.28 (step @p263 :rule trans :premises (@p262 @p261 @p260)) % 33.95/34.28 (step @p264 :rule equiv_elim1 :premises (@p263)) % 33.95/34.28 (step @p265 :rule reordering :premises (@p264) :args ((or @t335 @t348))) % 33.95/34.28 (step @p266 :rule chain_m_resolution :premises (@p265 @p251) :args (@t348 @t349 (@list @t335))) % 33.95/34.28 (step @p267 :rule aci_norm :args ((= @t351 @t345))) % 33.95/34.28 (step @p268 :rule cong :premises (@p267) :args (@t352)) % 33.95/34.28 (step @p269 :rule quant-merge-prenex :args ((= (forall @t231 @t354) @t352))) % 33.95/34.28 (step @p270 :rule alpha_equiv :args (@t355 (@list @t342) @t356)) % 33.95/34.28 (step @p271 :rule refl :args (@t314)) % 33.95/34.28 (step @p272 :rule nary_cong :premises (@p240 @p271 @p270) :args (@t357)) % 33.95/34.28 (step @p273 :rule quant-miniscope-or :args ((= @t354 @t357))) % 33.95/34.28 (step @p274 :rule trans :premises (@p273 @p272)) % 33.95/34.28 (step @p275 :rule symm :premises (@p274)) % 33.95/34.28 (step @p276 :rule cong :premises (@p275) :args ((forall @t231 @t360))) % 33.95/34.28 (step @p277 :rule trans :premises (@p276 @p269)) % 33.95/34.28 (step @p278 :rule trans :premises (@p277 @p268)) % 33.95/34.28 (step 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nary_cong :premises (@p922 @p921) :args ((or (not @t546) @t568))) % 33.95/34.28 (step @p924 :rule refl :args (@t554)) % 33.95/34.28 (step @p925 :rule eq-symm :args (@t551 @t328)) % 33.95/34.28 (step @p926 :rule cong :premises (@p925) :args (@t569)) % 33.95/34.28 (step @p927 :rule nary_cong :premises (@p926 @p924) :args (@t570)) % 33.95/34.28 (step @p928 :rule cong :premises (@p927) :args (@t571)) % 33.95/34.28 (step @p929 :rule refl :args (@t546)) % 33.95/34.28 (step @p930 :rule cong :premises (@p929 @p928) :args ((=> @t546 @t571))) % 33.95/34.28 (assume-push @p1090 @t546) % 33.95/34.28 (step @p932 :rule skolemize :premises (@p1090)) % 33.95/34.28 (step-pop @p1091 :rule scope :premises (@p932)) % 33.95/34.28 (step @p933 :rule process_scope :premises (@p1091) :args (@t571)) % 33.95/34.28 (step @p935 :rule eq_resolve :premises (@p933 @p930)) % 33.95/34.28 (step @p936 :rule implies_elim :premises (@p935)) % 33.95/34.28 (step @p937 :rule eq_resolve :premises (@p936 @p923)) % 33.95/34.28 (step @p938 :rule chain_m_resolution :premises (@p937 @p920) :args (@t545 @t469 (@list @t556))) % 33.95/34.28 (step @p939 :rule cnf_or_pos :args (@t547)) % 33.95/34.28 (step @p940 :rule reordering :premises (@p939) :args ((or @t536 @t546 (not @t547)))) % 33.95/34.28 (step @p941 :rule chain_m_resolution :premises (@p940 @p938 @p834) :args (@t536 @t444 (@list @t545 @t547))) % 33.95/34.28 (step @p942 :rule instantiate :premises (@p5) :args ((@list @t486 @t489))) % 33.95/34.28 (step @p943 :rule bool-double-not-elim :args (@t572)) % 33.95/34.28 (step @p944 :rule refl :args (@t573)) % 33.95/34.28 (step @p945 :rule refl :args (@t574)) % 33.95/34.28 (step @p946 :rule nary_cong :premises (@p945 @p944 @p878 @p943) :args ((or @t574 @t573 @t494 (not @t575)))) % 33.95/34.28 (assume-push @p1092 @t575) % 33.95/34.28 (assume-push @p1093 @t536) % 33.95/34.28 (assume-push @p1094 @t493) % 33.95/34.28 (assume-push @p1095 @t442) % 33.95/34.28 (step @p951 :rule evaluate :args ((= true false))) % 33.95/34.28 (step @p952 :rule false_intro :premises (@p942)) % 33.95/34.28 (step @p953 :rule symm :premises (@p417)) % 33.95/34.28 (step @p954 :rule trans :premises (@p953 @p1094)) % 33.95/34.28 (step @p955 :rule trans :premises (@p1093 @p417 @p954)) % 33.95/34.28 (step @p956 :rule true_intro :premises (@p955)) % 33.95/34.28 (step @p957 :rule symm :premises (@p956)) % 33.95/34.28 (step @p958 :rule trans :premises (@p957 @p952)) % 33.95/34.28 (step @p959 false :rule eq_resolve :premises (@p958 @p951)) % 33.95/34.28 (step-pop @p1096 :rule scope :premises (@p959)) % 33.95/34.28 (step-pop @p1097 :rule scope :premises (@p1096)) % 33.95/34.28 (step-pop @p1098 :rule scope :premises (@p1097)) % 33.95/34.28 (step-pop @p1099 :rule scope :premises (@p1098)) % 33.95/34.28 (step @p960 :rule process_scope :premises (@p1099) :args (false)) % 33.95/34.28 (assume-push @p1100 @t536) % 33.95/34.28 (assume-push @p1101 @t442) % 33.95/34.28 (assume-push @p1102 @t493) % 33.95/34.28 (assume-push @p1103 @t575) % 33.95/34.28 (step @p969 :rule and_intro :premises (@p942 @p1100 @p1102 @p417)) % 33.95/34.28 (step-pop @p1104 :rule scope :premises (@p969)) % 33.95/34.28 (step-pop @p1105 :rule scope :premises (@p1104)) % 33.95/34.28 (step-pop @p1106 :rule scope :premises (@p1105)) % 33.95/34.28 (step-pop @p1107 :rule scope :premises (@p1106)) % 33.95/34.28 (step @p970 :rule process_scope :premises (@p1107) :args (@t576)) % 33.95/34.28 (step @p975 :rule implies_elim :premises (@p970)) % 33.95/34.28 (step @p976 :rule resolution :premises (@p975 @p960) :args (true @t576)) % 33.95/34.28 (step @p977 :rule not_and :premises (@p976)) % 33.95/34.28 (step @p978 :rule eq_resolve :premises (@p977 @p946)) % 33.95/34.28 (step @p979 false :rule chain_m_resolution :premises (@p978 @p942 @p941 @p802 @p417) :args (false (@list true false false false) (@list @t572 @t536 @t493 @t442))) % 33.95/34.28 ) % 33.95/34.28 % SZS output end Proof % 33.95/34.28 % cvc5 exiting %------------------------------------------------------------------------------