%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW626_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:22 AM UTC 2026 % Result : Theorem 0.40s 0.76s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW626_2 : TPTP v9.2.1. Released v6.1.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.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 22:20:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_ARI % 0.40/0.76 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.76 % SZS status Theorem % 0.40/0.76 % SZS output start Proof % 0.40/0.76 ( % 0.40/0.76 (declare-sort tptp.list_elt 0) % 0.40/0.76 (declare-sort tptp.elt 0) % 0.40/0.76 (declare-sort tptp.tuple0 0) % 0.40/0.76 (declare-sort tptp.bool 0) % 0.40/0.76 (declare-sort tptp.ty 0) % 0.40/0.76 (declare-sort tptp.uni 0) % 0.40/0.76 (declare-const tptp.cons_proj_1 (-> tptp.ty tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.mod (-> Int Int Int)) % 0.40/0.76 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 0.40/0.76 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 0.40/0.76 (declare-const tptp.tb2t (-> tptp.uni tptp.list_elt)) % 0.40/0.76 (declare-const tptp.true tptp.bool) % 0.40/0.76 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.div (-> Int Int Int)) % 0.40/0.76 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 0.40/0.76 (declare-const tptp.cons_proj_2 (-> tptp.ty tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Bool)) % 0.40/0.76 (declare-const tptp.le (-> tptp.elt tptp.elt Bool)) % 0.40/0.76 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 0.40/0.76 (declare-const tptp.rev_append (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.tuple02 tptp.tuple0) % 0.40/0.76 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.false tptp.bool) % 0.40/0.76 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 0.40/0.76 (declare-const tptp.prefix (-> tptp.ty Int tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.num_occ (-> tptp.ty tptp.uni tptp.uni Int)) % 0.40/0.76 (declare-const tptp.t2tb1 (-> tptp.elt tptp.uni)) % 0.40/0.76 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.t2tb (-> tptp.list_elt tptp.uni)) % 0.40/0.76 (declare-const tptp.elt1 tptp.ty) % 0.40/0.76 (declare-const tptp.match_list (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 0.40/0.76 (declare-const tptp.sorted (-> tptp.list_elt Bool)) % 0.40/0.76 (declare-const tptp.tb2t1 (-> tptp.uni tptp.elt)) % 0.40/0.76 (declare-const tptp.length (-> tptp.ty tptp.uni Int)) % 0.40/0.76 (declare-const tptp.abs (-> Int Int)) % 0.40/0.76 (define @t1 () (@var "A" tptp.ty)) % 0.40/0.76 (define @t2 () (@list @t1)) % 0.40/0.76 (define @t3 () (@var "X2" tptp.uni)) % 0.40/0.76 (define @t4 () (@var "X1" tptp.uni)) % 0.40/0.76 (define @t5 () (@var "X" tptp.bool)) % 0.40/0.76 (define @t6 () (@var "Z" tptp.uni)) % 0.40/0.76 (define @t7 () (@var "Z1" tptp.uni)) % 0.40/0.76 (define @t8 () (@list @t1 @t6 @t7)) % 0.40/0.76 (define @t9 () (@var "U" tptp.bool)) % 0.40/0.76 (define @t10 () (@var "U" tptp.tuple0)) % 0.40/0.76 (define @t11 () (@var "Z" Int)) % 0.40/0.76 (define @t12 () (@var "Y" Int)) % 0.40/0.76 (define @t13 () (@var "X" Int)) % 0.40/0.76 (define @t14 () (<= 0 @t11)) % 0.40/0.76 (define @t15 () (<= @t13 @t12)) % 0.40/0.76 (define @t16 () (@list @t13 @t12 @t11)) % 0.40/0.76 (define @t17 () (tptp.nil @t1)) % 0.40/0.76 (define @t18 () (tptp.list @t1)) % 0.40/0.76 (define @t19 () (@var "X" tptp.uni)) % 0.40/0.76 (define @t20 () (tptp.cons @t1 @t19 @t4)) % 0.40/0.76 (define @t21 () (@list @t1 @t19 @t4)) % 0.40/0.76 (define @t22 () (@var "A1" tptp.ty)) % 0.40/0.76 (define @t23 () (@var "U1" tptp.uni)) % 0.40/0.76 (define @t24 () (@var "U" tptp.uni)) % 0.40/0.76 (define @t25 () (tptp.cons @t1 @t24 @t23)) % 0.40/0.76 (define @t26 () (@var "V1" tptp.uni)) % 0.40/0.76 (define @t27 () (@var "V" tptp.uni)) % 0.40/0.76 (define @t28 () (@list @t1 @t19)) % 0.40/0.76 (define @t29 () (@list @t1 @t24 @t23)) % 0.40/0.76 (define @t30 () (@list @t19 @t4)) % 0.40/0.76 (define @t31 () (@var "L" tptp.uni)) % 0.40/0.76 (define @t32 () (tptp.length @t1 @t31)) % 0.40/0.76 (define @t33 () (@list @t1 @t31)) % 0.40/0.76 (define @t34 () (@var "L2" tptp.uni)) % 0.40/0.76 (define @t35 () (forall @t30 (= (tptp.infix_plpl @t1 @t20 @t34) (tptp.cons @t1 @t19 (tptp.infix_plpl @t1 @t4 @t34))))) % 0.40/0.76 (define @t36 () (tptp.infix_plpl @t1 @t17 @t34)) % 0.40/0.76 (define @t37 () (and (= @t36 @t34) @t35)) % 0.40/0.76 (define @t38 () (@list @t1 @t34)) % 0.40/0.76 (define @t39 () (forall @t38 @t37)) % 0.40/0.76 (define @t40 () (@var "L3" tptp.uni)) % 0.40/0.76 (define @t41 () (@var "L1" tptp.uni)) % 0.40/0.76 (define @t42 () (tptp.infix_plpl @t1 @t41 @t34)) % 0.40/0.76 (define @t43 () (tptp.infix_plpl @t1 @t42 @t40)) % 0.40/0.76 (define @t44 () (tptp.infix_plpl @t1 @t41 (tptp.infix_plpl @t1 @t34 @t40))) % 0.40/0.76 (define @t45 () (@list @t1 @t41 @t34 @t40)) % 0.40/0.76 (define @t46 () (tptp.length @t1 @t34)) % 0.40/0.76 (define @t47 () (tptp.length @t1 @t41)) % 0.40/0.76 (define @t48 () (+ @t47 @t46)) % 0.40/0.76 (define @t49 () (@list @t1 @t41 @t34)) % 0.40/0.76 (define @t50 () (= @t19 @t4)) % 0.40/0.76 (define @t51 () (tptp.cons @t1 @t4 @t3)) % 0.40/0.76 (define @t52 () (tptp.sort @t1 @t4)) % 0.40/0.76 (define @t53 () (@list @t4 @t3)) % 0.40/0.76 (define @t54 () (tptp.sort @t1 @t19)) % 0.40/0.76 (define @t55 () (tptp.mem @t1 @t19 @t34)) % 0.40/0.76 (define @t56 () (tptp.mem @t1 @t19 @t41)) % 0.40/0.76 (define @t57 () (@list @t1 @t19 @t41 @t34)) % 0.40/0.76 (define @t58 () (tptp.cons @t1 @t19 @t34)) % 0.40/0.76 (define @t59 () (tptp.infix_plpl @t1 @t41 @t58)) % 0.40/0.76 (define @t60 () (tptp.mem @t1 @t19 @t31)) % 0.40/0.76 (define @t61 () (@list @t1 @t19 @t31)) % 0.40/0.76 (define @t62 () (tptp.num_occ @t1 @t19 @t3)) % 0.40/0.76 (define @t63 () (tptp.num_occ @t1 @t19 @t51)) % 0.40/0.76 (define @t64 () (tptp.num_occ @t1 @t19 @t31)) % 0.40/0.76 (define @t65 () (tptp.num_occ @t1 @t19 @t34)) % 0.40/0.76 (define @t66 () (tptp.num_occ @t1 @t19 @t41)) % 0.40/0.76 (define @t67 () (tptp.cons @t1 @t19 @t17)) % 0.40/0.76 (define @t68 () (tptp.cons @t1 @t19 @t41)) % 0.40/0.76 (define @t69 () (tptp.reverse @t1 @t31)) % 0.40/0.76 (define @t70 () (tptp.cons @t1 @t19 @t31)) % 0.40/0.76 (define @t71 () (@list @t1 @t31 @t19)) % 0.40/0.76 (define @t72 () (tptp.permut @t1 @t41 @t34)) % 0.40/0.76 (define @t73 () (= @t66 @t65)) % 0.40/0.76 (define @t74 () (@list @t19)) % 0.40/0.76 (define @t75 () (tptp.permut @t1 @t41 @t40)) % 0.40/0.76 (define @t76 () (tptp.permut @t1 @t34 @t40)) % 0.40/0.76 (define @t77 () (=> @t76 @t75)) % 0.40/0.76 (define @t78 () (forall @t45 (=> @t72 @t77))) % 0.40/0.76 (define @t79 () (@var "Y" tptp.uni)) % 0.40/0.76 (define @t80 () (@var "K2" tptp.uni)) % 0.40/0.76 (define @t81 () (@var "K1" tptp.uni)) % 0.40/0.76 (define @t82 () (tptp.permut @t1 @t42 (tptp.infix_plpl @t1 @t81 @t80))) % 0.40/0.76 (define @t83 () (tptp.permut @t1 @t34 @t80)) % 0.40/0.76 (define @t84 () (=> @t83 @t82)) % 0.40/0.76 (define @t85 () (tptp.permut @t1 @t41 @t81)) % 0.40/0.76 (define @t86 () (forall (@list @t1 @t41 @t34 @t81 @t80) (=> @t85 @t84))) % 0.40/0.76 (define @t87 () (@var "X" tptp.elt)) % 0.40/0.76 (define @t88 () (@list @t87)) % 0.40/0.76 (define @t89 () (@var "Z" tptp.elt)) % 0.40/0.76 (define @t90 () (@var "Y" tptp.elt)) % 0.40/0.76 (define @t91 () (tptp.le @t87 @t90)) % 0.40/0.76 (define @t92 () (tptp.le @t90 @t87)) % 0.40/0.76 (define @t93 () (@list @t87 @t90)) % 0.40/0.76 (define @t94 () (@var "X" tptp.list_elt)) % 0.40/0.76 (define @t95 () (@var "I" tptp.list_elt)) % 0.40/0.76 (define @t96 () (@var "J" tptp.uni)) % 0.40/0.76 (define @t97 () (tptp.t2tb (tptp.tb2t @t96))) % 0.40/0.76 (define @t98 () (@list @t96)) % 0.40/0.76 (define @t99 () (forall @t98 (= @t97 @t96))) % 0.40/0.76 (define @t100 () (tptp.nil tptp.elt1)) % 0.40/0.76 (define @t101 () (tptp.tb2t @t100)) % 0.40/0.76 (define @t102 () (tptp.t2tb1 @t87)) % 0.40/0.76 (define @t103 () (@var "I" tptp.elt)) % 0.40/0.76 (define @t104 () (tptp.tb2t (tptp.cons tptp.elt1 @t102 @t100))) % 0.40/0.76 (define @t105 () (@var "L" tptp.list_elt)) % 0.40/0.76 (define @t106 () (tptp.t2tb @t105)) % 0.40/0.76 (define @t107 () (tptp.t2tb1 @t90)) % 0.40/0.76 (define @t108 () (tptp.cons tptp.elt1 @t107 @t106)) % 0.40/0.76 (define @t109 () (tptp.tb2t (tptp.cons tptp.elt1 @t102 @t108))) % 0.40/0.76 (define @t110 () (tptp.sorted (tptp.tb2t @t108))) % 0.40/0.76 (define @t111 () (@list @t87 @t90 @t105)) % 0.40/0.76 (define @t112 () (@var "Z" tptp.list_elt)) % 0.40/0.76 (define @t113 () (tptp.cons tptp.elt1 @t102 @t106)) % 0.40/0.76 (define @t114 () (tptp.sorted @t105)) % 0.40/0.76 (define @t115 () (tptp.mem tptp.elt1 @t107 @t106)) % 0.40/0.76 (define @t116 () (=> @t115 @t91)) % 0.40/0.76 (define @t117 () (@list @t90)) % 0.40/0.76 (define @t118 () (@list @t87 @t105)) % 0.40/0.76 (define @t119 () (@var "L2" tptp.list_elt)) % 0.40/0.76 (define @t120 () (tptp.t2tb @t119)) % 0.40/0.76 (define @t121 () (@var "L1" tptp.list_elt)) % 0.40/0.76 (define @t122 () (tptp.t2tb @t121)) % 0.40/0.76 (define @t123 () (@var "T" tptp.uni)) % 0.40/0.76 (define @t124 () (@var "R" tptp.uni)) % 0.40/0.76 (define @t125 () (@var "S" tptp.uni)) % 0.40/0.76 (define @t126 () (@list @t1 @t124 @t125 @t123)) % 0.40/0.76 (define @t127 () (@var "Acc" tptp.list_elt)) % 0.40/0.76 (define @t128 () (tptp.t2tb @t127)) % 0.40/0.76 (define @t129 () (@var "X1" tptp.elt)) % 0.40/0.76 (define @t130 () (tptp.mem tptp.elt1 @t102 @t128)) % 0.40/0.76 (define @t131 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t128)))) % 0.40/0.76 (define @t132 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t113)))) % 0.40/0.76 (define @t133 () (@var "N" Int)) % 0.40/0.76 (define @t134 () (tptp.abs @t13)) % 0.40/0.76 (define @t135 () (<= 0 @t13)) % 0.40/0.76 (define @t136 () (@list @t13)) % 0.40/0.76 (define @t137 () (@list @t13 @t12)) % 0.40/0.76 (define @t138 () (tptp.mod @t13 @t12)) % 0.40/0.76 (define @t139 () (tptp.div @t13 @t12)) % 0.40/0.76 (define @t140 () (not (= @t12 0))) % 0.40/0.76 (define @t141 () (<= 0 @t139)) % 0.40/0.76 (define @t142 () (< 0 @t12)) % 0.40/0.76 (define @t143 () (and @t135 @t142)) % 0.40/0.76 (define @t144 () (tptp.abs @t12)) % 0.40/0.76 (define @t145 () (<= @t13 0)) % 0.40/0.76 (define @t146 () (and @t135 (< @t13 @t12))) % 0.40/0.76 (define @t147 () (+ (* @t13 @t12) @t11)) % 0.40/0.76 (define @t148 () (and (< 0 @t13) (<= 0 @t12) @t14)) % 0.40/0.76 (define @t149 () (tptp.prefix tptp.elt1 @t133 @t106)) % 0.40/0.76 (define @t150 () (@var "Result" tptp.list_elt)) % 0.40/0.76 (define @t151 () (tptp.t2tb @t150)) % 0.40/0.76 (define @t152 () (tptp.permut tptp.elt1 @t151 @t149)) % 0.40/0.76 (define @t153 () (@var "S2" tptp.list_elt)) % 0.40/0.76 (define @t154 () (tptp.t2tb @t153)) % 0.40/0.76 (define @t155 () (@var "S1" tptp.list_elt)) % 0.40/0.76 (define @t156 () (tptp.t2tb @t155)) % 0.40/0.76 (define @t157 () (tptp.infix_plpl tptp.elt1 @t100 @t156)) % 0.40/0.76 (define @t158 () (tptp.infix_plpl tptp.elt1 @t157 @t154)) % 0.40/0.76 (define @t159 () (tptp.permut tptp.elt1 @t151 @t158)) % 0.40/0.76 (define @t160 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t151)))) % 0.40/0.76 (define @t161 () (and @t160 @t159)) % 0.40/0.76 (define @t162 () (@list @t150)) % 0.40/0.76 (define @t163 () (forall @t162 (=> @t161 @t152))) % 0.40/0.76 (define @t164 () (tptp.mem tptp.elt1 @t107 @t154)) % 0.40/0.76 (define @t165 () (=> @t164 @t91)) % 0.40/0.76 (define @t166 () (tptp.mem tptp.elt1 @t102 @t100)) % 0.40/0.76 (define @t167 () (forall @t93 (=> @t166 @t165))) % 0.40/0.76 (define @t168 () (tptp.mem tptp.elt1 @t107 @t156)) % 0.40/0.76 (define @t169 () (=> @t168 @t91)) % 0.40/0.76 (define @t170 () (forall @t93 (=> @t166 @t169))) % 0.40/0.76 (define @t171 () (tptp.sorted @t153)) % 0.40/0.76 (define @t172 () (tptp.sorted @t155)) % 0.40/0.76 (define @t173 () (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t100)))) % 0.40/0.76 (define @t174 () (and @t173 @t172 @t171 @t170 @t167)) % 0.40/0.76 (define @t175 () (=> @t174 @t163)) % 0.40/0.76 (define @t176 () (tptp.div @t133 2)) % 0.40/0.76 (define @t177 () (- @t133 @t176)) % 0.40/0.76 (define @t178 () (tptp.prefix tptp.elt1 @t177 @t120)) % 0.40/0.76 (define @t179 () (tptp.permut tptp.elt1 @t154 @t178)) % 0.40/0.76 (define @t180 () (and @t171 @t179)) % 0.40/0.76 (define @t181 () (=> @t180 @t175)) % 0.40/0.76 (define @t182 () (@list @t153)) % 0.40/0.76 (define @t183 () (forall @t182 @t181)) % 0.40/0.76 (define @t184 () (tptp.length tptp.elt1 @t120)) % 0.40/0.76 (define @t185 () (<= @t177 @t184)) % 0.40/0.76 (define @t186 () (<= 2 @t177)) % 0.40/0.76 (define @t187 () (and @t186 @t185)) % 0.40/0.76 (define @t188 () (=> @t187 @t183)) % 0.40/0.76 (define @t189 () (tptp.prefix tptp.elt1 @t176 @t106)) % 0.40/0.76 (define @t190 () (tptp.permut tptp.elt1 @t156 @t189)) % 0.40/0.76 (define @t191 () (and @t172 @t190)) % 0.40/0.76 (define @t192 () (=> @t191 @t188)) % 0.40/0.76 (define @t193 () (@list @t155)) % 0.40/0.76 (define @t194 () (forall @t193 @t192)) % 0.40/0.76 (define @t195 () (tptp.length tptp.elt1 @t106)) % 0.40/0.76 (define @t196 () (<= @t176 @t195)) % 0.40/0.76 (define @t197 () (and (<= 2 @t176) @t196)) % 0.40/0.76 (define @t198 () (=> @t197 @t194)) % 0.40/0.76 (define @t199 () (tptp.tb2t @t149)) % 0.40/0.76 (define @t200 () (tptp.infix_plpl tptp.elt1 @t189 @t178)) % 0.40/0.76 (define @t201 () (tptp.tb2t @t200)) % 0.40/0.76 (define @t202 () (= @t201 @t199)) % 0.40/0.76 (define @t203 () (=> @t202 @t198)) % 0.40/0.76 (define @t204 () (= @t105 (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t189 @t120)))) % 0.40/0.76 (define @t205 () (=> @t204 @t203)) % 0.40/0.76 (define @t206 () (@list @t119)) % 0.40/0.76 (define @t207 () (forall @t206 @t205)) % 0.40/0.76 (define @t208 () (and (<= 0 @t176) @t196)) % 0.40/0.76 (define @t209 () (=> @t208 @t207)) % 0.40/0.76 (define @t210 () (= 2 0)) % 0.40/0.76 (define @t211 () (not @t210)) % 0.40/0.76 (define @t212 () (=> @t211 @t209)) % 0.40/0.76 (define @t213 () (= @t133 3)) % 0.40/0.76 (define @t214 () (not @t213)) % 0.40/0.76 (define @t215 () (=> @t214 @t212)) % 0.40/0.76 (define @t216 () (= @t133 2)) % 0.40/0.76 (define @t217 () (not @t216)) % 0.40/0.76 (define @t218 () (=> @t217 @t215)) % 0.40/0.76 (define @t219 () (and (<= 2 @t133) (<= @t133 @t195))) % 0.40/0.76 (define @t220 () (=> @t219 @t218)) % 0.40/0.76 (define @t221 () (@list @t133 @t105)) % 0.40/0.76 (define @t222 () (forall @t221 @t220)) % 0.40/0.76 (define @t223 () (not @t222)) % 0.40/0.76 (define @t224 () (@var "BOUND_VARIABLE_9189" tptp.list_elt)) % 0.40/0.76 (define @t225 () (tptp.t2tb @t224)) % 0.40/0.76 (define @t226 () (tptp.permut tptp.elt1 @t225 @t149)) % 0.40/0.76 (define @t227 () (@var "BOUND_VARIABLE_9187" tptp.list_elt)) % 0.40/0.76 (define @t228 () (tptp.t2tb @t227)) % 0.40/0.76 (define @t229 () (@var "BOUND_VARIABLE_9185" tptp.list_elt)) % 0.40/0.76 (define @t230 () (tptp.t2tb @t229)) % 0.40/0.76 (define @t231 () (not (tptp.permut tptp.elt1 @t225 (tptp.infix_plpl tptp.elt1 (tptp.infix_plpl tptp.elt1 @t100 @t230) @t228)))) % 0.40/0.76 (define @t232 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t225))))) % 0.40/0.76 (define @t233 () (not @t166)) % 0.40/0.76 (define @t234 () (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t228)) @t91)))) % 0.40/0.76 (define @t235 () (@var "BOUND_VARIABLE_9183" tptp.list_elt)) % 0.40/0.76 (define @t236 () (tptp.t2tb @t235)) % 0.40/0.76 (define @t237 () (* -1 @t176)) % 0.40/0.76 (define @t238 () (+ @t133 @t237)) % 0.40/0.76 (define @t239 () (tptp.prefix tptp.elt1 @t238 @t236)) % 0.40/0.76 (define @t240 () (not (tptp.permut tptp.elt1 @t228 @t239))) % 0.40/0.76 (define @t241 () (not (tptp.sorted @t227))) % 0.40/0.76 (define @t242 () (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t230)) @t91)))) % 0.40/0.76 (define @t243 () (not (tptp.permut tptp.elt1 @t230 @t189))) % 0.40/0.76 (define @t244 () (not (tptp.sorted @t229))) % 0.40/0.76 (define @t245 () (>= (+ @t133 @t237 (* -1 (tptp.length tptp.elt1 @t236))) 1)) % 0.40/0.76 (define @t246 () (not (= @t199 (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t189 @t239))))) % 0.40/0.76 (define @t247 () (not (= @t105 (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t189 @t236))))) % 0.40/0.76 (define @t248 () (>= @t238 2)) % 0.40/0.76 (define @t249 () (not @t248)) % 0.40/0.76 (define @t250 () (>= @t176 2)) % 0.40/0.76 (define @t251 () (not @t250)) % 0.40/0.76 (define @t252 () (+ @t195 @t237)) % 0.40/0.76 (define @t253 () (>= @t252 0)) % 0.40/0.76 (define @t254 () (not @t253)) % 0.40/0.76 (define @t255 () (>= @t176 0)) % 0.40/0.76 (define @t256 () (not @t255)) % 0.40/0.76 (define @t257 () (+ @t133 (* -1 @t195))) % 0.40/0.76 (define @t258 () (>= @t257 1)) % 0.40/0.76 (define @t259 () (>= @t133 2)) % 0.40/0.76 (define @t260 () (not @t259)) % 0.40/0.76 (define @t261 () (or @t260 @t258 @t216 @t213 @t256 @t254 @t251 @t249 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t234 @t232 @t231 @t226)) % 0.40/0.76 (define @t262 () (or @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t234 @t232 @t231 @t226)) % 0.40/0.76 (define @t263 () (or @t260 @t258 @t216 @t213 @t256 @t254 @t251 @t249 @t262)) % 0.40/0.76 (define @t264 () (@list @t133 @t105 @t235 @t229 @t227 @t224)) % 0.40/0.76 (define @t265 () (forall @t264 @t263)) % 0.40/0.76 (define @t266 () (@list @t235 @t229 @t227 @t224)) % 0.40/0.76 (define @t267 () (forall @t266 @t263)) % 0.40/0.76 (define @t268 () (forall @t266 @t262)) % 0.40/0.76 (define @t269 () (@var "BOUND_VARIABLE_9124" tptp.list_elt)) % 0.40/0.76 (define @t270 () (@var "BOUND_VARIABLE_9122" tptp.list_elt)) % 0.40/0.76 (define @t271 () (@var "BOUND_VARIABLE_9120" tptp.list_elt)) % 0.40/0.76 (define @t272 () (or @t260 @t258 @t216 @t213 @t256 @t254 @t251 @t249 @t268)) % 0.40/0.76 (define @t273 () (tptp.t2tb @t269)) % 0.40/0.76 (define @t274 () (tptp.permut tptp.elt1 @t273 @t149)) % 0.40/0.76 (define @t275 () (tptp.t2tb @t270)) % 0.40/0.76 (define @t276 () (tptp.t2tb @t271)) % 0.40/0.76 (define @t277 () (not (tptp.permut tptp.elt1 @t273 (tptp.infix_plpl tptp.elt1 (tptp.infix_plpl tptp.elt1 @t100 @t276) @t275)))) % 0.40/0.76 (define @t278 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t273))))) % 0.40/0.76 (define @t279 () (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t275)) @t91)))) % 0.40/0.76 (define @t280 () (tptp.prefix tptp.elt1 @t238 @t120)) % 0.40/0.76 (define @t281 () (not (tptp.permut tptp.elt1 @t275 @t280))) % 0.40/0.76 (define @t282 () (not (tptp.sorted @t270))) % 0.40/0.76 (define @t283 () (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t276)) @t91)))) % 0.40/0.76 (define @t284 () (not (tptp.permut tptp.elt1 @t276 @t189))) % 0.40/0.76 (define @t285 () (not (tptp.sorted @t271))) % 0.40/0.76 (define @t286 () (+ @t133 @t237 (* -1 @t184))) % 0.40/0.76 (define @t287 () (>= @t286 1)) % 0.40/0.76 (define @t288 () (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t189 @t280))) % 0.40/0.76 (define @t289 () (= @t199 @t288)) % 0.40/0.76 (define @t290 () (not @t289)) % 0.40/0.76 (define @t291 () (not @t204)) % 0.40/0.76 (define @t292 () (or @t291 @t290 @t287 @t285 @t284 @t283 @t282 @t281 @t279 @t278 @t277 @t274)) % 0.40/0.76 (define @t293 () (@list @t119 @t271 @t270 @t269)) % 0.40/0.76 (define @t294 () (forall @t293 @t292)) % 0.40/0.76 (define @t295 () (or @t260 @t258 @t216 @t213 @t256 @t254 @t251 @t249 @t294)) % 0.40/0.76 (define @t296 () (forall @t221 @t295)) % 0.40/0.76 (define @t297 () (not @t173)) % 0.40/0.76 (define @t298 () (or @t297 @t296)) % 0.40/0.76 (define @t299 () (or @t297 @t295)) % 0.40/0.76 (define @t300 () (or @t260 @t258 @t216 @t213 @t256 @t254 @t251 @t249 @t297 @t294)) % 0.40/0.76 (define @t301 () (or @t216 @t213 @t256 @t254 @t251 @t249 @t297 @t294)) % 0.40/0.76 (define @t302 () (or @t213 @t256 @t254 @t251 @t249 @t297 @t294)) % 0.40/0.76 (define @t303 () (or @t256 @t254 @t251 @t249 @t297 @t294)) % 0.40/0.76 (define @t304 () (or @t251 @t254 @t249 @t297 @t294)) % 0.40/0.76 (define @t305 () (and @t255 @t253)) % 0.40/0.76 (define @t306 () (=> @t305 @t304)) % 0.40/0.76 (define @t307 () (=> @t214 @t306)) % 0.40/0.76 (define @t308 () (not @t258)) % 0.40/0.76 (define @t309 () (=> @t217 @t307)) % 0.40/0.76 (define @t310 () (and @t259 @t308)) % 0.40/0.76 (define @t311 () (or @t285 @t284 @t283 @t282 @t281 @t279 @t278 @t277 @t274)) % 0.40/0.76 (define @t312 () (or @t291 @t290 @t287 @t311)) % 0.40/0.76 (define @t313 () (forall @t293 @t312)) % 0.40/0.76 (define @t314 () (@list @t271 @t270 @t269)) % 0.40/0.76 (define @t315 () (forall @t314 @t312)) % 0.40/0.76 (define @t316 () (forall @t314 @t311)) % 0.40/0.76 (define @t317 () (@var "BOUND_VARIABLE_9075" tptp.list_elt)) % 0.40/0.76 (define @t318 () (@var "BOUND_VARIABLE_9073" tptp.list_elt)) % 0.40/0.76 (define @t319 () (or @t291 @t290 @t287 @t316)) % 0.40/0.76 (define @t320 () (tptp.t2tb @t317)) % 0.40/0.76 (define @t321 () (tptp.permut tptp.elt1 @t320 @t149)) % 0.40/0.76 (define @t322 () (tptp.t2tb @t318)) % 0.40/0.76 (define @t323 () (not (tptp.permut tptp.elt1 @t320 (tptp.infix_plpl tptp.elt1 @t157 @t322)))) % 0.40/0.76 (define @t324 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t320))))) % 0.40/0.76 (define @t325 () (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t322)) @t91)))) % 0.40/0.76 (define @t326 () (not (tptp.permut tptp.elt1 @t322 @t280))) % 0.40/0.76 (define @t327 () (not (tptp.sorted @t318))) % 0.40/0.76 (define @t328 () (not @t168)) % 0.40/0.76 (define @t329 () (or @t233 @t328 @t91)) % 0.40/0.76 (define @t330 () (forall @t93 @t329)) % 0.40/0.76 (define @t331 () (not @t330)) % 0.40/0.76 (define @t332 () (not @t190)) % 0.40/0.76 (define @t333 () (not @t172)) % 0.40/0.76 (define @t334 () (or @t333 @t332 @t331 @t327 @t326 @t325 @t324 @t323 @t321)) % 0.40/0.76 (define @t335 () (@list @t155 @t318 @t317)) % 0.40/0.76 (define @t336 () (forall @t335 @t334)) % 0.40/0.76 (define @t337 () (or @t291 @t290 @t287 @t336)) % 0.40/0.76 (define @t338 () (forall @t206 @t337)) % 0.40/0.76 (define @t339 () (or @t251 @t254 @t249 @t297 @t338)) % 0.40/0.76 (define @t340 () (or @t251 @t254 @t249 @t297 @t337)) % 0.40/0.76 (define @t341 () (or @t291 @t290 @t251 @t254 @t249 @t287 @t297 @t336)) % 0.40/0.76 (define @t342 () (or @t290 @t251 @t254 @t249 @t287 @t297 @t336)) % 0.40/0.76 (define @t343 () (or @t251 @t254 @t249 @t287 @t297 @t336)) % 0.40/0.77 (define @t344 () (or @t249 @t287 @t297 @t336)) % 0.40/0.77 (define @t345 () (and @t250 @t253)) % 0.40/0.77 (define @t346 () (=> @t345 @t344)) % 0.40/0.77 (define @t347 () (=> @t289 @t346)) % 0.40/0.77 (define @t348 () (or @t327 @t326 @t325 @t324 @t323 @t321)) % 0.40/0.77 (define @t349 () (or @t333 @t332 @t331 @t348)) % 0.40/0.77 (define @t350 () (forall @t335 @t349)) % 0.40/0.77 (define @t351 () (@list @t318 @t317)) % 0.40/0.77 (define @t352 () (forall @t351 @t349)) % 0.40/0.77 (define @t353 () (forall @t351 @t348)) % 0.40/0.77 (define @t354 () (@var "BOUND_VARIABLE_9041" tptp.list_elt)) % 0.40/0.77 (define @t355 () (or @t333 @t332 @t331 @t353)) % 0.40/0.77 (define @t356 () (tptp.t2tb @t354)) % 0.40/0.77 (define @t357 () (tptp.permut tptp.elt1 @t356 @t149)) % 0.40/0.77 (define @t358 () (not (tptp.permut tptp.elt1 @t356 @t158))) % 0.40/0.77 (define @t359 () (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t356))))) % 0.40/0.77 (define @t360 () (not @t164)) % 0.40/0.77 (define @t361 () (or @t233 @t360 @t91)) % 0.40/0.77 (define @t362 () (forall @t93 @t361)) % 0.40/0.77 (define @t363 () (not @t362)) % 0.40/0.77 (define @t364 () (tptp.permut tptp.elt1 @t154 @t280)) % 0.40/0.77 (define @t365 () (not @t364)) % 0.40/0.77 (define @t366 () (not @t171)) % 0.40/0.77 (define @t367 () (or @t366 @t365 @t363 @t359 @t358 @t357)) % 0.40/0.77 (define @t368 () (@list @t153 @t354)) % 0.40/0.77 (define @t369 () (forall @t368 @t367)) % 0.40/0.77 (define @t370 () (or @t333 @t332 @t331 @t369)) % 0.40/0.77 (define @t371 () (forall @t193 @t370)) % 0.40/0.77 (define @t372 () (or @t249 @t287 @t297 @t371)) % 0.40/0.77 (define @t373 () (or @t249 @t287 @t297 @t370)) % 0.40/0.77 (define @t374 () (or @t333 @t332 @t249 @t287 @t297 @t331 @t369)) % 0.40/0.77 (define @t375 () (or @t249 @t287 @t297 @t333 @t331 @t369)) % 0.40/0.77 (define @t376 () (or @t297 @t333 @t331 @t369)) % 0.40/0.77 (define @t377 () (not @t287)) % 0.40/0.77 (define @t378 () (and @t248 @t377)) % 0.40/0.77 (define @t379 () (=> @t378 @t376)) % 0.40/0.77 (define @t380 () (or @t359 @t358 @t357)) % 0.40/0.77 (define @t381 () (or @t366 @t365 @t363 @t380)) % 0.40/0.77 (define @t382 () (forall @t368 @t381)) % 0.40/0.77 (define @t383 () (@list @t354)) % 0.40/0.77 (define @t384 () (forall @t383 @t381)) % 0.40/0.77 (define @t385 () (forall @t383 @t380)) % 0.40/0.77 (define @t386 () (or @t366 @t365 @t363 @t385)) % 0.40/0.77 (define @t387 () (not @t159)) % 0.40/0.77 (define @t388 () (not @t160)) % 0.40/0.77 (define @t389 () (or @t388 @t387 @t152)) % 0.40/0.77 (define @t390 () (forall @t162 @t389)) % 0.40/0.77 (define @t391 () (or @t366 @t365 @t363 @t390)) % 0.40/0.77 (define @t392 () (forall @t182 @t391)) % 0.40/0.77 (define @t393 () (or @t297 @t333 @t331 @t392)) % 0.40/0.77 (define @t394 () (or @t297 @t333 @t331 @t391)) % 0.40/0.77 (define @t395 () (or @t366 @t365 @t297 @t333 @t331 @t363 @t390)) % 0.40/0.77 (define @t396 () (or @t297 @t333 @t366 @t331 @t363 @t390)) % 0.40/0.77 (define @t397 () (or @t297 @t333 @t366 @t331 @t363)) % 0.40/0.77 (define @t398 () (and @t173 @t172 @t171 @t330 @t362)) % 0.40/0.77 (define @t399 () (=> @t398 @t390)) % 0.40/0.77 (define @t400 () (and @t171 @t364)) % 0.40/0.77 (define @t401 () (+ @t184 1)) % 0.40/0.77 (define @t402 () (>= @t238 @t401)) % 0.40/0.77 (define @t403 () (+ @t195 1)) % 0.40/0.77 (define @t404 () (>= @t133 @t403)) % 0.40/0.77 (define @t405 () (forall @t264 @t261)) % 0.40/0.77 (define @t406 () (@quantifiers_skolemize @t405 4)) % 0.40/0.77 (define @t407 () (tptp.t2tb @t406)) % 0.40/0.77 (define @t408 () (@quantifiers_skolemize @t405 3)) % 0.40/0.77 (define @t409 () (tptp.t2tb @t408)) % 0.40/0.77 (define @t410 () (tptp.infix_plpl tptp.elt1 (tptp.infix_plpl tptp.elt1 @t100 @t409) @t407)) % 0.40/0.77 (define @t411 () (tptp.t2tb (@quantifiers_skolemize @t405 5))) % 0.40/0.77 (define @t412 () (tptp.permut tptp.elt1 @t411 @t410)) % 0.40/0.77 (define @t413 () (@quantifiers_skolemize @t405 1)) % 0.40/0.77 (define @t414 () (tptp.t2tb @t413)) % 0.40/0.77 (define @t415 () (@quantifiers_skolemize @t405 0)) % 0.40/0.77 (define @t416 () (tptp.prefix tptp.elt1 @t415 @t414)) % 0.40/0.77 (define @t417 () (tptp.permut tptp.elt1 @t411 @t416)) % 0.40/0.77 (define @t418 () (not @t412)) % 0.40/0.77 (define @t419 () (tptp.t2tb (@quantifiers_skolemize @t405 2))) % 0.40/0.77 (define @t420 () (tptp.div @t415 2)) % 0.40/0.77 (define @t421 () (* -1 @t420)) % 0.40/0.77 (define @t422 () (+ @t415 @t421)) % 0.40/0.77 (define @t423 () (tptp.prefix tptp.elt1 @t422 @t419)) % 0.40/0.77 (define @t424 () (tptp.permut tptp.elt1 @t407 @t423)) % 0.40/0.77 (define @t425 () (not @t424)) % 0.40/0.77 (define @t426 () (tptp.prefix tptp.elt1 @t420 @t414)) % 0.40/0.77 (define @t427 () (tptp.permut tptp.elt1 @t409 @t426)) % 0.40/0.77 (define @t428 () (not @t427)) % 0.40/0.77 (define @t429 () (tptp.infix_plpl tptp.elt1 @t426 @t423)) % 0.40/0.77 (define @t430 () (tptp.tb2t @t429)) % 0.40/0.77 (define @t431 () (= (tptp.tb2t @t416) @t430)) % 0.40/0.77 (define @t432 () (not @t431)) % 0.40/0.77 (define @t433 () (tptp.length tptp.elt1 @t414)) % 0.40/0.77 (define @t434 () (or (not (>= @t415 2)) (>= (+ @t415 (* -1 @t433)) 1) (= @t415 2) (= @t415 3) (not (>= @t420 0)) (not (>= (+ @t433 @t421) 0)) (not (>= @t420 2)) (not (>= @t422 2)) (not (= @t413 (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t426 @t419)))) @t432 (>= (+ @t415 @t421 (* -1 (tptp.length tptp.elt1 @t419))) 1) (not (tptp.sorted @t408)) @t428 (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t409)) @t91))) (not (tptp.sorted @t406)) @t425 (not (forall @t93 (or @t233 (not (tptp.mem tptp.elt1 @t107 @t407)) @t91))) (not (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t411)))) @t418 @t417)) % 0.40/0.77 (define @t435 () (@list true)) % 0.40/0.77 (define @t436 () (@list @t434)) % 0.40/0.77 (define @t437 () (not @t76)) % 0.40/0.77 (define @t438 () (not @t72)) % 0.40/0.77 (define @t439 () (tptp.permut tptp.elt1 @t411 @t429)) % 0.40/0.77 (define @t440 () (not @t83)) % 0.40/0.77 (define @t441 () (not @t85)) % 0.40/0.77 (define @t442 () (tptp.permut tptp.elt1 (tptp.infix_plpl tptp.elt1 @t409 @t407) @t429)) % 0.40/0.77 (define @t443 () (or @t428 @t425 @t442)) % 0.40/0.77 (define @t444 () (@var "BOUND_VARIABLE_8320" tptp.uni)) % 0.40/0.77 (define @t445 () (@var "BOUND_VARIABLE_8318" tptp.ty)) % 0.40/0.77 (define @t446 () (= (tptp.infix_plpl @t445 (tptp.cons @t445 @t19 @t4) @t444) (tptp.cons @t445 @t19 (tptp.infix_plpl @t445 @t4 @t444)))) % 0.40/0.77 (define @t447 () (forall (@list @t445 @t444) (forall @t30 @t446))) % 0.40/0.77 (define @t448 () (@var "BOUND_VARIABLE_8311" tptp.uni)) % 0.40/0.77 (define @t449 () (@var "BOUND_VARIABLE_8309" tptp.ty)) % 0.40/0.77 (define @t450 () (forall (@list @t449 @t448) (= @t448 (tptp.infix_plpl @t449 (tptp.nil @t449) @t448)))) % 0.40/0.77 (define @t451 () (forall @t38 @t35)) % 0.40/0.77 (define @t452 () (@list @t1 @t34)) % 0.40/0.77 (define @t453 () (= @t34 @t36)) % 0.40/0.77 (define @t454 () (forall @t38 @t453)) % 0.40/0.77 (define @t455 () (and @t454 @t451)) % 0.40/0.77 (define @t456 () (tptp.permut tptp.elt1 @t410 @t429)) % 0.40/0.77 (define @t457 () (not @t456)) % 0.40/0.77 (define @t458 () (or @t418 @t457 @t439)) % 0.40/0.77 (assume @p1 (forall @t2 (tptp.sort @t1 (tptp.witness @t1)))) % 0.40/0.77 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort @t1 (tptp.match_bool @t1 @t5 @t4 @t3)))) % 0.40/0.77 (assume @p3 (forall @t8 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.true @t6 @t7) @t6)))) % 0.40/0.77 (assume @p4 (forall @t8 (=> (tptp.sort @t1 @t7) (= (tptp.match_bool @t1 tptp.false @t6 @t7) @t7)))) % 0.40/0.77 (assume @p5 (not (= tptp.true tptp.false))) % 0.40/0.77 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true) (= @t9 tptp.false)))) % 0.40/0.77 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple02))) % 0.40/0.77 (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11)))))) % 0.40/0.77 (assume @p9 (forall @t2 (tptp.sort @t18 @t17))) % 0.40/0.77 (assume @p10 (forall @t21 (tptp.sort @t18 @t20))) % 0.40/0.77 (assume @p11 (forall (@list @t1 @t22 @t19 @t4 @t3) (tptp.sort @t22 (tptp.match_list @t22 @t1 @t19 @t4 @t3)))) % 0.40/0.77 (assume @p12 (forall (@list @t1 @t22 @t6 @t7) (=> (tptp.sort @t22 @t6) (= (tptp.match_list @t22 @t1 @t17 @t6 @t7) @t6)))) % 0.40/0.77 (assume @p13 (forall (@list @t1 @t22 @t6 @t7 @t24 @t23) (=> (tptp.sort @t22 @t7) (= (tptp.match_list @t22 @t1 @t25 @t6 @t7) @t7)))) % 0.40/0.77 (assume @p14 (forall (@list @t1 @t27 @t26) (not (= @t17 (tptp.cons @t1 @t27 @t26))))) % 0.40/0.77 (assume @p15 (forall @t28 (tptp.sort @t1 (tptp.cons_proj_1 @t1 @t19)))) % 0.40/0.77 (assume @p16 (forall @t29 (=> (tptp.sort @t1 @t24) (= (tptp.cons_proj_1 @t1 @t25) @t24)))) % 0.40/0.77 (assume @p17 (forall @t28 (tptp.sort @t18 (tptp.cons_proj_2 @t1 @t19)))) % 0.40/0.77 (assume @p18 (forall @t29 (= (tptp.cons_proj_2 @t1 @t25) @t23))) % 0.40/0.77 (assume @p19 (forall (@list @t1 @t24) (or (= @t24 @t17) (= @t24 (tptp.cons @t1 (tptp.cons_proj_1 @t1 @t24) (tptp.cons_proj_2 @t1 @t24)))))) % 0.40/0.77 (assume @p20 (forall @t2 (and (= (tptp.length @t1 @t17) 0) (forall @t30 (= (tptp.length @t1 @t20) (+ 1 (tptp.length @t1 @t4))))))) % 0.40/0.77 (assume @p21 (forall @t33 (<= 0 @t32))) % 0.40/0.77 (assume @p22 (forall @t33 (= (= @t32 0) (= @t31 @t17)))) % 0.40/0.77 (assume @p23 (forall @t21 (tptp.sort @t18 (tptp.infix_plpl @t1 @t19 @t4)))) % 0.40/0.77 (assume @p24 @t39) % 0.40/0.77 (assume @p25 (forall @t45 (= @t44 @t43))) % 0.40/0.77 (assume @p26 (forall @t33 (= (tptp.infix_plpl @t1 @t31 @t17) @t31))) % 0.40/0.77 (assume @p27 (forall @t49 (= (tptp.length @t1 @t42) @t48))) % 0.40/0.77 (assume @p28 (forall @t28 (=> @t54 (and (not (tptp.mem @t1 @t19 @t17)) (forall @t53 (=> @t52 (= (tptp.mem @t1 @t19 @t51) (or @t50 (tptp.mem @t1 @t19 @t3))))))))) % 0.40/0.77 (assume @p29 (forall @t57 (= (tptp.mem @t1 @t19 @t42) (or @t56 @t55)))) % 0.40/0.77 (assume @p30 (forall @t61 (=> @t60 (exists (@list @t41 @t34) (and (tptp.sort @t18 @t41) (tptp.sort @t18 @t34) (= @t31 @t59)))))) % 0.40/0.77 (assume @p31 (forall @t28 (=> @t54 (and (= (tptp.num_occ @t1 @t19 @t17) 0) (forall @t53 (=> @t52 (and (=> @t50 (= @t63 (+ 1 @t62))) (=> (not @t50) (= @t63 (+ 0 @t62)))))))))) % 0.40/0.77 (assume @p32 (forall @t61 (= @t60 (< 0 @t64)))) % 0.40/0.77 (assume @p33 (forall @t57 (= (tptp.num_occ @t1 @t19 @t42) (+ @t66 @t65)))) % 0.40/0.77 (assume @p34 (forall @t28 (tptp.sort @t18 (tptp.reverse @t1 @t19)))) % 0.40/0.77 (assume @p35 (forall @t2 (and (= (tptp.reverse @t1 @t17) @t17) (forall @t30 (= (tptp.reverse @t1 @t20) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t67)))))) % 0.40/0.77 (assume @p36 (forall (@list @t1 @t41 @t34 @t19) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 @t68) @t34) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t41) @t58)))) % 0.40/0.77 (assume @p37 (forall @t71 (= (tptp.reverse @t1 @t70) (tptp.infix_plpl @t1 @t69 @t67)))) % 0.40/0.77 (assume @p38 (forall @t33 (= (tptp.reverse @t1 @t69) @t31))) % 0.40/0.77 (assume @p39 (forall @t71 (= @t60 (tptp.mem @t1 @t19 @t69)))) % 0.40/0.77 (assume @p40 (forall @t33 (= (tptp.length @t1 @t69) @t32))) % 0.40/0.77 (assume @p41 (forall @t61 (= @t64 (tptp.num_occ @t1 @t19 @t69)))) % 0.40/0.77 (assume @p42 (forall @t49 (and (=> @t72 (forall @t74 @t73)) (=> (forall @t74 (=> @t54 @t73)) @t72)))) % 0.40/0.77 (assume @p43 (forall @t33 (tptp.permut @t1 @t31 @t31))) % 0.40/0.77 (assume @p44 (forall @t49 (=> @t72 (tptp.permut @t1 @t34 @t41)))) % 0.40/0.77 (assume @p45 @t78) % 0.40/0.77 (assume @p46 (forall @t57 (=> @t72 (tptp.permut @t1 @t68 @t58)))) % 0.40/0.77 (assume @p47 (forall (@list @t1 @t19 @t79 @t31) (tptp.permut @t1 (tptp.cons @t1 @t19 (tptp.cons @t1 @t79 @t31)) (tptp.cons @t1 @t79 @t70)))) % 0.40/0.77 (assume @p48 (forall @t57 (tptp.permut @t1 (tptp.infix_plpl @t1 @t68 @t34) @t59))) % 0.40/0.77 (assume @p49 (forall @t45 (tptp.permut @t1 @t43 @t44))) % 0.40/0.77 (assume @p50 @t86) % 0.40/0.77 (assume @p51 (forall @t49 (tptp.permut @t1 @t42 (tptp.infix_plpl @t1 @t34 @t41)))) % 0.40/0.77 (assume @p52 (forall @t57 (=> @t72 (=> @t56 @t55)))) % 0.40/0.77 (assume @p53 (forall @t49 (=> @t72 (= @t47 @t46)))) % 0.40/0.77 (assume @p54 (forall @t88 (tptp.le @t87 @t87))) % 0.40/0.77 (assume @p55 (forall (@list @t87 @t90 @t89) (=> @t91 (=> (tptp.le @t90 @t89) (tptp.le @t87 @t89))))) % 0.40/0.77 (assume @p56 (forall @t93 (or @t91 @t92))) % 0.40/0.77 (assume @p57 (forall (@list @t94) (tptp.sort (tptp.list tptp.elt1) (tptp.t2tb @t94)))) % 0.40/0.77 (assume @p58 (forall (@list @t95) (= (tptp.tb2t (tptp.t2tb @t95)) @t95))) % 0.40/0.77 (assume @p59 @t99) % 0.40/0.77 (assume @p60 (tptp.sorted @t101)) % 0.40/0.77 (assume @p61 (forall @t88 (tptp.sort tptp.elt1 @t102))) % 0.40/0.77 (assume @p62 (forall (@list @t103) (= (tptp.tb2t1 (tptp.t2tb1 @t103)) @t103))) % 0.40/0.77 (assume @p63 (forall @t98 (=> (tptp.sort tptp.elt1 @t96) (= (tptp.t2tb1 (tptp.tb2t1 @t96)) @t96)))) % 0.40/0.77 (assume @p64 (forall @t88 (tptp.sorted @t104))) % 0.40/0.77 (assume @p65 (forall @t111 (=> @t91 (=> @t110 (tptp.sorted @t109))))) % 0.40/0.77 (assume @p66 (forall (@list @t112) (=> (tptp.sorted @t112) (or (= @t112 @t101) (exists @t88 (= @t112 @t104)) (exists @t111 (and @t91 @t110 (= @t112 @t109))))))) % 0.40/0.77 (assume @p67 (forall @t118 (= (and (forall @t117 @t116) @t114) (tptp.sorted (tptp.tb2t @t113))))) % 0.40/0.77 (assume @p68 (forall (@list @t121 @t119) (= (and (tptp.sorted @t121) (tptp.sorted @t119) (forall @t93 (=> (tptp.mem tptp.elt1 @t102 @t122) (=> (tptp.mem tptp.elt1 @t107 @t120) @t91)))) (tptp.sorted (tptp.tb2t (tptp.infix_plpl tptp.elt1 @t122 @t120)))))) % 0.40/0.77 (assume @p69 (forall @t21 (tptp.sort @t18 (tptp.rev_append @t1 @t19 @t4)))) % 0.40/0.77 (assume @p70 (forall (@list @t1 @t123) (and (= (tptp.rev_append @t1 @t17 @t123) @t123) (forall (@list @t19 @t124) (= (tptp.rev_append @t1 (tptp.cons @t1 @t19 @t124) @t123) (tptp.rev_append @t1 @t124 (tptp.cons @t1 @t19 @t123))))))) % 0.40/0.77 (assume @p71 (forall @t126 (= (tptp.rev_append @t1 (tptp.infix_plpl @t1 @t124 @t125) @t123) (tptp.rev_append @t1 @t125 (tptp.rev_append @t1 @t124 @t123))))) % 0.40/0.77 (assume @p72 (forall @t126 (= (tptp.rev_append @t1 @t124 (tptp.infix_plpl @t1 @t125 @t123)) (tptp.rev_append @t1 (tptp.rev_append @t1 @t125 @t124) @t123)))) % 0.40/0.77 (assume @p73 (forall (@list @t1 @t125 @t123) (= (tptp.length @t1 (tptp.rev_append @t1 @t125 @t123)) (+ (tptp.length @t1 @t125) (tptp.length @t1 @t123))))) % 0.40/0.77 (assume @p74 (forall (@list @t1 @t124 @t125) (= (tptp.rev_append @t1 @t124 @t125) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t124) @t125)))) % 0.40/0.77 (assume @p75 (forall (@list @t127 @t129) (=> @t131 (=> (forall @t88 (=> @t130 (tptp.le @t87 @t129))) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.cons tptp.elt1 (tptp.t2tb1 @t129) @t128)))))))) % 0.40/0.77 (assume @p76 (forall (@list @t127 @t105) (=> @t131 (=> @t114 (=> (forall @t93 (=> @t130 @t116)) (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 (tptp.rev_append tptp.elt1 @t106 @t128))))))))) % 0.40/0.77 (assume @p77 (forall @t118 (=> @t132 (forall @t117 (=> @t115 @t92))))) % 0.40/0.77 (assume @p78 (forall @t118 (=> @t132 (tptp.sorted (tptp.tb2t (tptp.reverse tptp.elt1 @t106)))))) % 0.40/0.77 (assume @p79 (forall (@list @t1 @t13 @t4) (tptp.sort @t18 (tptp.prefix @t1 @t13 @t4)))) % 0.40/0.77 (assume @p80 (forall @t33 (= (tptp.prefix @t1 0 @t31) @t17))) % 0.40/0.77 (assume @p81 (forall (@list @t1 @t133 @t19 @t31) (=> (< 0 @t133) (= (tptp.prefix @t1 @t133 @t70) (tptp.cons @t1 @t19 (tptp.prefix @t1 (- @t133 1) @t31)))))) % 0.40/0.77 (assume @p82 (forall (@list @t1 @t133 @t31) (=> (and (<= 0 @t133) (<= @t133 @t32)) (= (tptp.length @t1 (tptp.prefix @t1 @t133 @t31)) @t133)))) % 0.40/0.77 (assume @p83 (forall (@list @t1 @t133 @t41 @t34) (=> (and (<= @t47 @t133) (<= @t133 @t48)) (= (tptp.prefix @t1 @t133 @t42) (tptp.infix_plpl @t1 (tptp.prefix @t1 @t47 @t41) (tptp.prefix @t1 (- @t133 @t47) @t34)))))) % 0.40/0.77 (assume @p84 (forall @t136 (and (=> @t135 (= @t134 @t13)) (=> (not @t135) (= @t134 (- @t13)))))) % 0.40/0.77 (assume @p85 (forall @t137 (= (<= @t134 @t12) (and (<= (- @t12) @t13) @t15)))) % 0.40/0.77 (assume @p86 (forall @t136 (<= 0 @t134))) % 0.40/0.77 (assume @p87 (forall @t137 (=> @t140 (= @t13 (+ (* @t12 @t139) @t138))))) % 0.40/0.77 (assume @p88 (forall @t137 (=> @t143 (and @t141 (<= @t139 @t13))))) % 0.40/0.77 (assume @p89 (forall @t137 (=> @t140 (and (< (- @t144) @t138) (< @t138 @t144))))) % 0.40/0.77 (assume @p90 (forall @t137 (=> @t143 @t141))) % 0.40/0.77 (assume @p91 (forall @t137 (=> (and @t145 @t142) (<= @t139 0)))) % 0.40/0.77 (assume @p92 (forall @t137 (=> (and @t135 @t140) (<= 0 @t138)))) % 0.40/0.77 (assume @p93 (forall @t137 (=> (and @t145 @t140) (<= @t138 0)))) % 0.40/0.77 (assume @p94 (forall @t137 (=> @t140 (<= (tptp.abs (* @t139 @t12)) @t134)))) % 0.40/0.77 (assume @p95 (forall @t136 (= (tptp.div @t13 1) @t13))) % 0.40/0.77 (assume @p96 (forall @t136 (= (tptp.mod @t13 1) 0))) % 0.40/0.77 (assume @p97 (forall @t137 (=> @t146 (= @t139 0)))) % 0.40/0.77 (assume @p98 (forall @t137 (=> @t146 (= @t138 @t13)))) % 0.40/0.77 (assume @p99 (forall @t16 (=> @t148 (= (tptp.div @t147 @t13) (+ @t12 (tptp.div @t11 @t13)))))) % 0.40/0.77 (assume @p100 (forall @t16 (=> @t148 (= (tptp.mod @t147 @t13) (tptp.mod @t11 @t13))))) % 0.40/0.77 (assume @p101 @t223) % 0.40/0.77 (assume @p102 true) % 0.40/0.77 (step @p103 :rule aci_norm :args ((= @t263 @t261))) % 0.40/0.77 (step @p104 :rule cong :premises (@p103) :args (@t265)) % 0.40/0.77 (step @p105 :rule quant-merge-prenex :args ((= (forall @t221 @t267) @t265))) % 0.40/0.77 (step @p106 :rule alpha_equiv :args (@t268 (@list @t235 @t229 @t227 @t224) (@list @t119 @t271 @t270 @t269))) % 0.40/0.77 (step @p107 :rule refl :args (@t249)) % 0.40/0.77 (step @p108 :rule refl :args (@t251)) % 0.40/0.77 (step @p109 :rule refl :args (@t254)) % 0.40/0.77 (step @p110 :rule refl :args (@t256)) % 0.40/0.77 (step @p111 :rule refl :args (@t213)) % 0.40/0.77 (step @p112 :rule refl :args (@t216)) % 0.40/0.77 (step @p113 :rule refl :args (@t258)) % 0.40/0.77 (step @p114 :rule refl :args (@t260)) % 0.40/0.77 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106) :args (@t272)) % 0.40/0.77 (step @p116 :rule quant-miniscope-or :args ((= @t267 @t272))) % 0.40/0.77 (step @p117 :rule trans :premises (@p116 @p115)) % 0.40/0.77 (step @p118 :rule symm :premises (@p117)) % 0.40/0.77 (step @p119 :rule cong :premises (@p118) :args (@t296)) % 0.40/0.77 (step @p120 :rule trans :premises (@p119 @p105)) % 0.40/0.77 (step @p121 :rule trans :premises (@p120 @p104)) % 0.40/0.77 (step @p122 :rule refl :args (@t297)) % 0.40/0.77 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t298)) % 0.40/0.77 (step @p124 :rule quant-miniscope-or :args ((= (forall @t221 @t299) @t298))) % 0.40/0.77 (step @p125 :rule aci_norm :args ((= @t300 @t299))) % 0.40/0.77 (step @p126 :rule cong :premises (@p125) :args ((forall @t221 @t300))) % 0.40/0.77 (step @p127 :rule trans :premises (@p126 @p124)) % 0.40/0.77 (step @p128 :rule trans :premises (@p127 @p123)) % 0.40/0.77 (step @p129 :rule aci_norm :args ((= (or (or @t260 @t258) @t301) @t300))) % 0.40/0.77 (step @p130 :rule aci_norm :args ((= (or @t216 @t302) @t301))) % 0.40/0.77 (step @p131 :rule aci_norm :args ((= (or @t213 @t303) @t302))) % 0.40/0.77 (step @p132 :rule aci_norm :args ((= (or (or @t256 @t254) @t304) @t303))) % 0.40/0.77 (step @p133 :rule refl :args (@t304)) % 0.40/0.77 (step @p134 :rule bool-and-de-morgan :args (@t255 @t253 true)) % 0.40/0.77 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t305) @t304))) % 0.40/0.77 (step @p136 :rule trans :premises (@p135 @p132)) % 0.40/0.77 (step @p137 :rule bool-impl-elim :args (@t305 @t304)) % 0.40/0.77 (step @p138 :rule trans :premises (@p137 @p136)) % 0.40/0.77 (step @p139 :rule nary_cong :premises (@p111 @p138) :args ((or @t213 @t306))) % 0.40/0.77 (step @p140 :rule trans :premises (@p139 @p131)) % 0.40/0.77 (step @p141 :rule refl :args (@t306)) % 0.40/0.77 (step @p142 :rule bool-double-not-elim :args (@t213)) % 0.40/0.77 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t214) @t306))) % 0.40/0.77 (step @p144 :rule bool-impl-elim :args (@t214 @t306)) % 0.40/0.77 (step @p145 :rule trans :premises (@p144 @p143)) % 0.40/0.77 (step @p146 :rule trans :premises (@p145 @p140)) % 0.40/0.77 (step @p147 :rule 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0.40/0.77 (step @p375 :rule evaluate :args (@t210)) % 0.40/0.77 (step @p376 :rule cong :premises (@p375) :args (@t211)) % 0.40/0.77 (step @p377 :rule trans :premises (@p376 @p374)) % 0.40/0.77 (step @p378 :rule cong :premises (@p377 @p373) :args (@t212)) % 0.40/0.77 (step @p379 :rule trans :premises (@p378 @p165)) % 0.40/0.77 (step @p380 :rule refl :args (@t214)) % 0.40/0.77 (step @p381 :rule cong :premises (@p380 @p379) :args (@t215)) % 0.40/0.77 (step @p382 :rule refl :args (@t217)) % 0.40/0.77 (step @p383 :rule cong :premises (@p382 @p381) :args (@t218)) % 0.40/0.77 (step @p384 :rule arith_poly_norm :args ((= (* -1 (- @t133 @t403)) (* -1 (- @t257 1))))) % 0.40/0.77 (step @p385 :rule arith_poly_norm_rel :premises (@p384) :args ((= @t404 @t258))) % 0.40/0.77 (step @p386 :rule cong :premises (@p385) :args ((not @t404))) % 0.40/0.77 (step @p387 :rule arith-leq-norm :args (@t133 @t195)) % 0.40/0.77 (step @p388 :rule trans :premises (@p387 @p386)) % 0.40/0.77 (step @p389 :rule arith-elim-leq :args (2 @t133)) % 0.40/0.77 (step @p390 :rule nary_cong :premises (@p389 @p388) :args (@t219)) % 0.40/0.77 (step @p391 :rule cong :premises (@p390 @p383) :args (@t220)) % 0.40/0.77 (step @p392 :rule cong :premises (@p391) :args (@t222)) % 0.40/0.77 (step @p393 :rule trans :premises (@p392 @p164)) % 0.40/0.77 (step @p394 :rule cong :premises (@p393) :args (@t223)) % 0.40/0.77 (step @p395 :rule eq_resolve :premises (@p101 @p394)) % 0.40/0.77 (step @p396 :rule not_or_elim :premises (@p395) :args (1)) % 0.40/0.77 (step @p397 :rule skolemize :premises (@p396)) % 0.40/0.77 (step @p398 :rule bool-double-not-elim :args (@t412)) % 0.40/0.77 (step @p399 :rule refl :args (@t434)) % 0.40/0.77 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t434 (not @t418)))) % 0.40/0.77 (step @p401 :rule cnf_or_neg :args (@t434 18)) % 0.40/0.77 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.40/0.77 (step @p403 :rule reordering :premises (@p402) :args ((or @t412 @t434))) % 0.40/0.77 (step @p404 :rule chain_m_resolution :premises (@p403 @p397) :args (@t412 @t435 @t436)) % 0.40/0.77 (step @p405 :rule aci_norm :args ((= (or @t438 (or @t437 @t75)) (or @t438 @t437 @t75)))) % 0.40/0.77 (step @p406 :rule bool-impl-elim :args (@t76 @t75)) % 0.40/0.77 (step @p407 :rule refl :args (@t438)) % 0.40/0.77 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t438 @t77))) % 0.40/0.77 (step @p409 :rule trans :premises (@p408 @p405)) % 0.40/0.77 (step @p410 :rule bool-impl-elim :args (@t72 @t77)) % 0.40/0.77 (step @p411 :rule trans :premises (@p410 @p409)) % 0.40/0.77 (step @p412 :rule cong :premises (@p411) :args (@t78)) % 0.40/0.77 (step @p413 :rule eq_resolve :premises (@p45 @p412)) % 0.40/0.77 (step @p414 :rule instantiate :premises (@p413) :args ((@list tptp.elt1 @t411 @t410 @t429))) % 0.40/0.77 (step @p415 :rule cnf_or_neg :args (@t434 19)) % 0.40/0.77 (step @p416 :rule chain_m_resolution :premises (@p415 @p397) :args ((not @t417) @t435 @t436)) % 0.40/0.77 (step @p417 :rule false_intro :premises (@p416)) % 0.40/0.77 (step @p418 :rule eq-symm :args (@t97 @t96)) % 0.40/0.77 (step @p419 :rule cong :premises (@p418) :args (@t99)) % 0.40/0.77 (step @p420 :rule eq_resolve :premises (@p59 @p419)) % 0.40/0.77 (step @p421 :rule instantiate :premises (@p420) :args ((@list @t416))) % 0.40/0.77 (step @p422 :rule symm :premises (@p421)) % 0.40/0.77 (step @p423 :rule bool-double-not-elim :args (@t431)) % 0.40/0.77 (step @p424 :rule nary_cong :premises (@p399 @p423) :args ((or @t434 (not @t432)))) % 0.40/0.77 (step @p425 :rule cnf_or_neg :args (@t434 9)) % 0.40/0.77 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 0.40/0.77 (step @p427 :rule reordering :premises (@p426) :args ((or @t431 @t434))) % 0.40/0.77 (step @p428 :rule chain_m_resolution :premises (@p427 @p397) :args (@t431 @t435 @t436)) % 0.40/0.77 (step @p429 :rule symm :premises (@p428)) % 0.40/0.77 (step @p430 :rule cong :premises (@p429) :args ((tptp.t2tb @t430))) % 0.40/0.77 (step @p431 :rule instantiate :premises (@p420) :args ((@list @t429))) % 0.40/0.77 (step @p432 :rule trans :premises (@p431 @p430 @p422)) % 0.40/0.77 (step @p433 :rule refl :args (@t411)) % 0.40/0.77 (step @p434 :rule cong :premises (@p326 @p433 @p432) :args (@t439)) % 0.40/0.77 (step @p435 :rule trans :premises (@p434 @p417)) % 0.40/0.77 (step @p436 :rule false_elim :premises (@p435)) % 0.40/0.77 (step @p437 :rule aci_norm :args ((= (or @t441 (or @t440 @t82)) (or @t441 @t440 @t82)))) % 0.40/0.77 (step @p438 :rule bool-impl-elim :args (@t83 @t82)) % 0.40/0.77 (step @p439 :rule refl :args (@t441)) % 0.40/0.77 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t441 @t84))) % 0.40/0.77 (step @p441 :rule trans :premises (@p440 @p437)) % 0.40/0.77 (step @p442 :rule bool-impl-elim :args (@t85 @t84)) % 0.40/0.77 (step @p443 :rule trans :premises (@p442 @p441)) % 0.40/0.77 (step @p444 :rule cong :premises (@p443) :args (@t86)) % 0.40/0.77 (step @p445 :rule eq_resolve :premises (@p50 @p444)) % 0.40/0.77 (step @p446 :rule instantiate :premises (@p445) :args ((@list tptp.elt1 @t409 @t407 @t426 @t423))) % 0.40/0.77 (step @p447 :rule bool-double-not-elim :args (@t424)) % 0.40/0.77 (step @p448 :rule nary_cong :premises (@p399 @p447) :args ((or @t434 (not @t425)))) % 0.40/0.77 (step @p449 :rule cnf_or_neg :args (@t434 15)) % 0.40/0.77 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 0.40/0.77 (step @p451 :rule reordering :premises (@p450) :args ((or @t424 @t434))) % 0.40/0.77 (step @p452 :rule chain_m_resolution :premises (@p451 @p397) :args (@t424 @t435 @t436)) % 0.40/0.77 (step @p453 :rule bool-double-not-elim :args (@t427)) % 0.40/0.77 (step @p454 :rule nary_cong :premises (@p399 @p453) :args ((or @t434 (not @t428)))) % 0.40/0.77 (step @p455 :rule cnf_or_neg :args (@t434 12)) % 0.40/0.77 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 0.40/0.77 (step @p457 :rule reordering :premises (@p456) :args ((or @t427 @t434))) % 0.40/0.77 (step @p458 :rule chain_m_resolution :premises (@p457 @p397) :args (@t427 @t435 @t436)) % 0.40/0.77 (step @p459 :rule cnf_or_pos :args (@t443)) % 0.40/0.77 (step @p460 :rule reordering :premises (@p459) :args ((or @t428 @t425 @t442 (not @t443)))) % 0.40/0.77 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p452 @p446) :args (@t442 (@list false false false) (@list @t427 @t424 @t443))) % 0.40/0.77 (step @p462 :rule true_intro :premises (@p461)) % 0.40/0.77 (step @p463 :rule refl :args (@t429)) % 0.40/0.77 (step @p464 :rule refl :args (@t407)) % 0.40/0.77 (step @p465 :rule quant-merge-prenex :args ((= @t447 (forall (@list @t445 @t444 @t19 @t4) @t446)))) % 0.40/0.77 (step @p466 :rule refl :args (@t450)) % 0.40/0.77 (step @p467 :rule nary_cong :premises (@p466 @p465) :args ((and @t450 @t447))) % 0.40/0.77 (step @p468 :rule alpha_equiv :args (@t451 @t452 (@list @t445 @t444))) % 0.40/0.77 (step @p469 :rule alpha_equiv :args (@t454 @t452 (@list @t449 @t448))) % 0.40/0.77 (step @p470 :rule nary_cong :premises (@p469 @p468) :args (@t455)) % 0.40/0.77 (step @p471 :rule quant-miniscope-and :args ((= (forall @t38 (and @t453 @t35)) @t455))) % 0.40/0.77 (step @p472 :rule trans :premises (@p471 @p470)) % 0.40/0.77 (step @p473 :rule trans :premises (@p472 @p467)) % 0.40/0.77 (step @p474 :rule refl :args (@t35)) % 0.40/0.77 (step @p475 :rule eq-symm :args (@t36 @t34)) % 0.40/0.77 (step @p476 :rule nary_cong :premises (@p475 @p474) :args (@t37)) % 0.40/0.77 (step @p477 :rule cong :premises (@p476) :args (@t39)) % 0.40/0.77 (step @p478 :rule trans :premises (@p477 @p473)) % 0.40/0.77 (step @p479 :rule eq_resolve :premises (@p24 @p478)) % 0.40/0.77 (step @p480 :rule and_elim :premises (@p479) :args (0)) % 0.40/0.77 (step @p481 :rule instantiate :premises (@p480) :args ((@list tptp.elt1 @t409))) % 0.40/0.77 (step @p482 :rule symm :premises (@p481)) % 0.40/0.77 (step @p483 :rule cong :premises (@p326 @p482 @p464) :args (@t410)) % 0.40/0.77 (step @p484 :rule cong :premises (@p326 @p483 @p463) :args (@t456)) % 0.40/0.77 (step @p485 :rule trans :premises (@p484 @p462)) % 0.40/0.77 (step @p486 :rule true_elim :premises (@p485)) % 0.40/0.77 (step @p487 :rule cnf_or_pos :args (@t458)) % 0.40/0.77 (step @p488 :rule reordering :premises (@p487) :args ((or @t418 @t457 @t439 (not @t458)))) % 0.40/0.77 (step @p489 false :rule chain_m_resolution :premises (@p488 @p486 @p436 @p414 @p404) :args (false (@list false true false false) (@list @t456 @t439 @t458 @t412))) % 0.40/0.77 ) % 0.40/0.77 % SZS output end Proof % 0.40/0.77 % cvc5 exiting %------------------------------------------------------------------------------