%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW629_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 : n019.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 0.38s 0.76s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW629_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 22:20:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.55 %----Proving TF0_ARI % 0.38/0.76 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.76 % SZS status Theorem % 0.38/0.76 % SZS output start Proof % 0.38/0.76 ( % 0.38/0.76 (declare-sort tptp.list_elt 0) % 0.38/0.76 (declare-sort tptp.elt1 0) % 0.38/0.76 (declare-sort tptp.tuple02 0) % 0.38/0.76 (declare-sort tptp.bool1 0) % 0.38/0.76 (declare-sort tptp.ty 0) % 0.38/0.76 (declare-sort tptp.uni 0) % 0.38/0.76 (declare-const tptp.tb2t1 (-> tptp.uni tptp.elt1)) % 0.38/0.76 (declare-const tptp.elt tptp.ty) % 0.38/0.76 (declare-const tptp.t2tb (-> tptp.list_elt tptp.uni)) % 0.38/0.76 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.tb2t (-> tptp.uni tptp.list_elt)) % 0.38/0.76 (declare-const tptp.mk_t (-> tptp.ty tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.sorted1 (-> tptp.list_elt Bool)) % 0.38/0.76 (declare-const tptp.reverse (-> tptp.ty tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.num_occ1 (-> tptp.ty tptp.uni tptp.uni Int)) % 0.38/0.76 (declare-const tptp.infix_plpl (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.tuple03 tptp.tuple02) % 0.38/0.76 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Bool)) % 0.38/0.76 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.38/0.76 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 0.38/0.76 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.le1 (-> tptp.elt1 tptp.elt1 Bool)) % 0.38/0.76 (declare-const tptp.t (-> tptp.ty tptp.ty)) % 0.38/0.76 (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.true1 tptp.bool1) % 0.38/0.76 (declare-const tptp.false1 tptp.bool1) % 0.38/0.76 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 0.38/0.76 (declare-const tptp.length2 (-> tptp.ty tptp.uni Int)) % 0.38/0.76 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.38/0.76 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 0.38/0.76 (declare-const tptp.t2tb1 (-> tptp.elt1 tptp.uni)) % 0.38/0.76 (declare-const tptp.length3 (-> tptp.ty tptp.uni Int)) % 0.38/0.76 (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 0.38/0.76 (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 0.38/0.76 (define @t1 () (@var "A" tptp.ty)) % 0.38/0.76 (define @t2 () (@list @t1)) % 0.38/0.76 (define @t3 () (@var "X2" tptp.uni)) % 0.38/0.76 (define @t4 () (@var "X1" tptp.uni)) % 0.38/0.76 (define @t5 () (@var "X" tptp.bool1)) % 0.38/0.76 (define @t6 () (@var "Z" tptp.uni)) % 0.38/0.76 (define @t7 () (@var "Z1" tptp.uni)) % 0.38/0.76 (define @t8 () (@list @t1 @t6 @t7)) % 0.38/0.76 (define @t9 () (@var "U" tptp.bool1)) % 0.38/0.76 (define @t10 () (@var "U" tptp.tuple02)) % 0.38/0.76 (define @t11 () (@var "Z" Int)) % 0.38/0.76 (define @t12 () (@var "Y" Int)) % 0.38/0.76 (define @t13 () (@var "X" Int)) % 0.38/0.76 (define @t14 () (tptp.nil @t1)) % 0.38/0.76 (define @t15 () (tptp.list @t1)) % 0.38/0.76 (define @t16 () (@var "X" tptp.uni)) % 0.38/0.76 (define @t17 () (tptp.cons @t1 @t16 @t4)) % 0.38/0.76 (define @t18 () (@list @t1 @t16 @t4)) % 0.38/0.76 (define @t19 () (@var "A1" tptp.ty)) % 0.38/0.76 (define @t20 () (@var "U1" tptp.uni)) % 0.38/0.76 (define @t21 () (@var "U" tptp.uni)) % 0.38/0.76 (define @t22 () (tptp.cons @t1 @t21 @t20)) % 0.38/0.76 (define @t23 () (@var "V1" tptp.uni)) % 0.38/0.76 (define @t24 () (@var "V" tptp.uni)) % 0.38/0.76 (define @t25 () (@list @t1 @t16)) % 0.38/0.76 (define @t26 () (@list @t1 @t21 @t20)) % 0.38/0.76 (define @t27 () (@list @t1 @t21)) % 0.38/0.76 (define @t28 () (= @t16 @t4)) % 0.38/0.76 (define @t29 () (tptp.cons @t1 @t4 @t3)) % 0.38/0.76 (define @t30 () (tptp.sort1 @t1 @t4)) % 0.38/0.76 (define @t31 () (@list @t4 @t3)) % 0.38/0.76 (define @t32 () (tptp.sort1 @t1 @t16)) % 0.38/0.76 (define @t33 () (@list @t16 @t4)) % 0.38/0.76 (define @t34 () (@var "L" tptp.uni)) % 0.38/0.76 (define @t35 () (tptp.length2 @t1 @t34)) % 0.38/0.76 (define @t36 () (@list @t1 @t34)) % 0.38/0.76 (define @t37 () (@var "L2" tptp.uni)) % 0.38/0.76 (define @t38 () (@var "L3" tptp.uni)) % 0.38/0.76 (define @t39 () (@var "L1" tptp.uni)) % 0.38/0.76 (define @t40 () (tptp.infix_plpl @t1 @t39 @t37)) % 0.38/0.76 (define @t41 () (tptp.infix_plpl @t1 @t40 @t38)) % 0.38/0.76 (define @t42 () (tptp.infix_plpl @t1 @t39 (tptp.infix_plpl @t1 @t37 @t38))) % 0.38/0.76 (define @t43 () (@list @t1 @t39 @t37 @t38)) % 0.38/0.76 (define @t44 () (tptp.length2 @t1 @t37)) % 0.38/0.76 (define @t45 () (tptp.length2 @t1 @t39)) % 0.38/0.76 (define @t46 () (@list @t1 @t39 @t37)) % 0.38/0.76 (define @t47 () (tptp.mem @t1 @t16 @t37)) % 0.38/0.76 (define @t48 () (tptp.mem @t1 @t16 @t39)) % 0.38/0.76 (define @t49 () (@list @t1 @t16 @t39 @t37)) % 0.38/0.76 (define @t50 () (tptp.cons @t1 @t16 @t37)) % 0.38/0.76 (define @t51 () (tptp.infix_plpl @t1 @t39 @t50)) % 0.38/0.76 (define @t52 () (tptp.mem @t1 @t16 @t34)) % 0.38/0.76 (define @t53 () (@list @t1 @t16 @t34)) % 0.38/0.76 (define @t54 () (tptp.num_occ1 @t1 @t16 @t3)) % 0.38/0.76 (define @t55 () (tptp.num_occ1 @t1 @t16 @t29)) % 0.38/0.76 (define @t56 () (tptp.num_occ1 @t1 @t16 @t34)) % 0.38/0.76 (define @t57 () (tptp.num_occ1 @t1 @t16 @t37)) % 0.38/0.76 (define @t58 () (tptp.num_occ1 @t1 @t16 @t39)) % 0.38/0.76 (define @t59 () (tptp.cons @t1 @t16 @t14)) % 0.38/0.76 (define @t60 () (tptp.cons @t1 @t16 @t39)) % 0.38/0.76 (define @t61 () (tptp.reverse @t1 @t34)) % 0.38/0.76 (define @t62 () (tptp.cons @t1 @t16 @t34)) % 0.38/0.76 (define @t63 () (@list @t1 @t34 @t16)) % 0.38/0.76 (define @t64 () (tptp.permut @t1 @t39 @t37)) % 0.38/0.76 (define @t65 () (= @t58 @t57)) % 0.38/0.76 (define @t66 () (@list @t16)) % 0.38/0.76 (define @t67 () (tptp.permut @t1 @t39 @t38)) % 0.38/0.76 (define @t68 () (tptp.permut @t1 @t37 @t38)) % 0.38/0.76 (define @t69 () (=> @t68 @t67)) % 0.38/0.76 (define @t70 () (forall @t43 (=> @t64 @t69))) % 0.38/0.76 (define @t71 () (@var "Y" tptp.uni)) % 0.38/0.76 (define @t72 () (@var "K2" tptp.uni)) % 0.38/0.76 (define @t73 () (@var "K1" tptp.uni)) % 0.38/0.76 (define @t74 () (tptp.permut @t1 @t40 (tptp.infix_plpl @t1 @t73 @t72))) % 0.38/0.76 (define @t75 () (tptp.permut @t1 @t37 @t72)) % 0.38/0.76 (define @t76 () (=> @t75 @t74)) % 0.38/0.76 (define @t77 () (tptp.permut @t1 @t39 @t73)) % 0.38/0.76 (define @t78 () (forall (@list @t1 @t39 @t37 @t73 @t72) (=> @t77 @t76))) % 0.38/0.76 (define @t79 () (@var "Q" tptp.uni)) % 0.38/0.76 (define @t80 () (@var "X" tptp.elt1)) % 0.38/0.76 (define @t81 () (@list @t80)) % 0.38/0.76 (define @t82 () (@var "Z" tptp.elt1)) % 0.38/0.76 (define @t83 () (@var "Y" tptp.elt1)) % 0.38/0.76 (define @t84 () (tptp.le1 @t80 @t83)) % 0.38/0.76 (define @t85 () (@list @t80 @t83)) % 0.38/0.76 (define @t86 () (@var "X" tptp.list_elt)) % 0.38/0.76 (define @t87 () (@var "I" tptp.list_elt)) % 0.38/0.76 (define @t88 () (@var "J" tptp.uni)) % 0.38/0.76 (define @t89 () (@list @t88)) % 0.38/0.76 (define @t90 () (tptp.nil tptp.elt)) % 0.38/0.76 (define @t91 () (tptp.tb2t @t90)) % 0.38/0.76 (define @t92 () (tptp.t2tb1 @t80)) % 0.38/0.76 (define @t93 () (@var "I" tptp.elt1)) % 0.38/0.76 (define @t94 () (tptp.tb2t (tptp.cons tptp.elt @t92 @t90))) % 0.38/0.76 (define @t95 () (@var "L" tptp.list_elt)) % 0.38/0.76 (define @t96 () (tptp.t2tb @t95)) % 0.38/0.76 (define @t97 () (tptp.t2tb1 @t83)) % 0.38/0.76 (define @t98 () (tptp.cons tptp.elt @t97 @t96)) % 0.38/0.76 (define @t99 () (tptp.tb2t (tptp.cons tptp.elt @t92 @t98))) % 0.38/0.76 (define @t100 () (tptp.sorted1 (tptp.tb2t @t98))) % 0.38/0.76 (define @t101 () (@list @t80 @t83 @t95)) % 0.38/0.76 (define @t102 () (@var "Z" tptp.list_elt)) % 0.38/0.76 (define @t103 () (@var "L2" tptp.list_elt)) % 0.38/0.76 (define @t104 () (tptp.t2tb @t103)) % 0.38/0.76 (define @t105 () (@var "L1" tptp.list_elt)) % 0.38/0.76 (define @t106 () (tptp.t2tb @t105)) % 0.38/0.76 (define @t107 () (@var "Q" tptp.list_elt)) % 0.38/0.76 (define @t108 () (tptp.t2tb @t107)) % 0.38/0.76 (define @t109 () (@var "Q4" tptp.list_elt)) % 0.38/0.76 (define @t110 () (tptp.t2tb @t109)) % 0.38/0.76 (define @t111 () (tptp.sorted1 @t109)) % 0.38/0.76 (define @t112 () (and @t111 (tptp.permut tptp.elt @t110 @t108))) % 0.38/0.76 (define @t113 () (@var "Q22" tptp.list_elt)) % 0.38/0.76 (define @t114 () (tptp.t2tb @t113)) % 0.38/0.76 (define @t115 () (@var "Q12" tptp.list_elt)) % 0.38/0.76 (define @t116 () (tptp.t2tb @t115)) % 0.38/0.76 (define @t117 () (tptp.infix_plpl tptp.elt @t116 @t114)) % 0.38/0.76 (define @t118 () (tptp.permut tptp.elt @t110 @t117)) % 0.38/0.76 (define @t119 () (and @t111 @t118)) % 0.38/0.76 (define @t120 () (@list @t109)) % 0.38/0.76 (define @t121 () (forall @t120 (=> @t119 @t112))) % 0.38/0.76 (define @t122 () (tptp.sorted1 @t113)) % 0.38/0.76 (define @t123 () (tptp.sorted1 @t115)) % 0.38/0.76 (define @t124 () (@var "Q3" tptp.list_elt)) % 0.38/0.76 (define @t125 () (= @t124 @t91)) % 0.38/0.76 (define @t126 () (and @t125 @t123 @t122)) % 0.38/0.76 (define @t127 () (=> @t126 @t121)) % 0.38/0.76 (define @t128 () (@var "Q21" tptp.list_elt)) % 0.38/0.76 (define @t129 () (tptp.t2tb @t128)) % 0.38/0.76 (define @t130 () (tptp.permut tptp.elt @t114 @t129)) % 0.38/0.76 (define @t131 () (and @t122 @t130)) % 0.38/0.76 (define @t132 () (=> @t131 @t127)) % 0.38/0.76 (define @t133 () (@list @t113)) % 0.38/0.76 (define @t134 () (forall @t133 @t132)) % 0.38/0.76 (define @t135 () (@var "Q11" tptp.list_elt)) % 0.38/0.76 (define @t136 () (tptp.t2tb @t135)) % 0.38/0.76 (define @t137 () (tptp.permut tptp.elt @t116 @t136)) % 0.38/0.76 (define @t138 () (and @t123 @t137)) % 0.38/0.76 (define @t139 () (=> @t138 @t134)) % 0.38/0.76 (define @t140 () (@list @t115)) % 0.38/0.76 (define @t141 () (forall @t140 @t139)) % 0.38/0.76 (define @t142 () (tptp.infix_plpl tptp.elt @t136 @t129)) % 0.38/0.76 (define @t143 () (tptp.permut tptp.elt @t142 @t108)) % 0.38/0.76 (define @t144 () (=> @t143 @t141)) % 0.38/0.76 (define @t145 () (=> @t125 @t144)) % 0.38/0.76 (define @t146 () (@var "O" tptp.bool1)) % 0.38/0.76 (define @t147 () (= @t146 tptp.true1)) % 0.38/0.76 (define @t148 () (not @t147)) % 0.38/0.76 (define @t149 () (=> (not @t148) @t145)) % 0.38/0.76 (define @t150 () (=> (= @t147 @t125) @t149)) % 0.38/0.76 (define @t151 () (@list @t146)) % 0.38/0.76 (define @t152 () (forall @t151 @t150)) % 0.38/0.76 (define @t153 () (tptp.length2 tptp.elt @t129)) % 0.38/0.76 (define @t154 () (+ @t153 1)) % 0.38/0.76 (define @t155 () (tptp.length2 tptp.elt @t136)) % 0.38/0.76 (define @t156 () (= @t155 @t154)) % 0.38/0.76 (define @t157 () (tptp.t2tb @t124)) % 0.38/0.76 (define @t158 () (= (tptp.length2 tptp.elt @t157) 0)) % 0.38/0.76 (define @t159 () (and @t158 @t156)) % 0.38/0.76 (define @t160 () (= @t155 @t153)) % 0.38/0.76 (define @t161 () (or @t160 @t159)) % 0.38/0.76 (define @t162 () (tptp.permut tptp.elt (tptp.infix_plpl tptp.elt @t142 @t157) @t108)) % 0.38/0.76 (define @t163 () (and @t162 @t161)) % 0.38/0.76 (define @t164 () (=> @t163 @t152)) % 0.38/0.76 (define @t165 () (@list @t128 @t135 @t124)) % 0.38/0.76 (define @t166 () (forall @t165 @t164)) % 0.38/0.76 (define @t167 () (@var "Q2" tptp.list_elt)) % 0.38/0.76 (define @t168 () (= @t167 @t91)) % 0.38/0.76 (define @t169 () (=> @t168 @t166)) % 0.38/0.76 (define @t170 () (@list @t167)) % 0.38/0.76 (define @t171 () (forall @t170 @t169)) % 0.38/0.76 (define @t172 () (@var "Q1" tptp.list_elt)) % 0.38/0.76 (define @t173 () (= @t172 @t91)) % 0.38/0.76 (define @t174 () (=> @t173 @t171)) % 0.38/0.76 (define @t175 () (@list @t172)) % 0.38/0.76 (define @t176 () (forall @t175 @t174)) % 0.38/0.76 (define @t177 () (tptp.length2 tptp.elt @t108)) % 0.38/0.76 (define @t178 () (=> (< 1 @t177) @t176)) % 0.38/0.76 (define @t179 () (@list @t107)) % 0.38/0.76 (define @t180 () (forall @t179 @t178)) % 0.38/0.76 (define @t181 () (not @t180)) % 0.38/0.76 (define @t182 () (not @t68)) % 0.38/0.76 (define @t183 () (not @t64)) % 0.38/0.76 (define @t184 () (or @t183 @t182 @t67)) % 0.38/0.76 (define @t185 () (@var "BOUND_VARIABLE_8638" tptp.list_elt)) % 0.38/0.76 (define @t186 () (tptp.t2tb @t185)) % 0.38/0.76 (define @t187 () (tptp.sorted1 @t185)) % 0.38/0.76 (define @t188 () (and @t187 (tptp.permut tptp.elt @t186 @t108))) % 0.38/0.76 (define @t189 () (@var "BOUND_VARIABLE_8636" tptp.list_elt)) % 0.38/0.76 (define @t190 () (tptp.t2tb @t189)) % 0.38/0.76 (define @t191 () (@var "BOUND_VARIABLE_8634" tptp.list_elt)) % 0.38/0.76 (define @t192 () (tptp.t2tb @t191)) % 0.38/0.76 (define @t193 () (not (tptp.permut tptp.elt @t186 (tptp.infix_plpl tptp.elt @t192 @t190)))) % 0.38/0.76 (define @t194 () (not @t187)) % 0.38/0.76 (define @t195 () (@var "BOUND_VARIABLE_8630" tptp.list_elt)) % 0.38/0.76 (define @t196 () (tptp.t2tb @t195)) % 0.38/0.76 (define @t197 () (not (tptp.permut tptp.elt @t190 @t196))) % 0.38/0.76 (define @t198 () (not (tptp.sorted1 @t189))) % 0.38/0.76 (define @t199 () (@var "BOUND_VARIABLE_8632" tptp.list_elt)) % 0.38/0.76 (define @t200 () (tptp.t2tb @t199)) % 0.38/0.76 (define @t201 () (not (tptp.permut tptp.elt @t192 @t200))) % 0.38/0.76 (define @t202 () (not (tptp.sorted1 @t191))) % 0.38/0.76 (define @t203 () (tptp.infix_plpl tptp.elt @t200 @t196)) % 0.38/0.76 (define @t204 () (not (tptp.permut tptp.elt @t203 @t108))) % 0.38/0.76 (define @t205 () (tptp.length2 tptp.elt @t200)) % 0.38/0.76 (define @t206 () (tptp.length2 tptp.elt @t196)) % 0.38/0.76 (define @t207 () (tptp.t2tb @t91)) % 0.38/0.76 (define @t208 () (not (= (tptp.length2 tptp.elt @t207) 0))) % 0.38/0.76 (define @t209 () (and (not (= @t206 @t205)) (or @t208 (not (= @t206 (+ -1 @t205)))))) % 0.38/0.76 (define @t210 () (not (tptp.permut tptp.elt (tptp.infix_plpl tptp.elt @t203 @t207) @t108))) % 0.38/0.76 (define @t211 () (>= @t177 2)) % 0.38/0.76 (define @t212 () (not @t211)) % 0.38/0.76 (define @t213 () (or @t212 @t210 @t209 @t204 @t202 @t201 @t198 @t197 @t194 @t193 @t188)) % 0.38/0.76 (define @t214 () (@list @t107 @t195 @t199 @t191 @t189 @t185)) % 0.38/0.76 (define @t215 () (forall @t214 @t213)) % 0.38/0.76 (define @t216 () (tptp.t2tb (@quantifiers_skolemize @t215 0))) % 0.38/0.76 (define @t217 () (@quantifiers_skolemize @t215 4)) % 0.38/0.76 (define @t218 () (tptp.t2tb @t217)) % 0.38/0.76 (define @t219 () (@quantifiers_skolemize @t215 3)) % 0.38/0.76 (define @t220 () (tptp.t2tb @t219)) % 0.38/0.76 (define @t221 () (tptp.infix_plpl tptp.elt @t220 @t218)) % 0.38/0.76 (define @t222 () (@quantifiers_skolemize @t215 5)) % 0.38/0.76 (define @t223 () (tptp.t2tb @t222)) % 0.38/0.76 (define @t224 () (or @t210 @t209 @t204 @t202 @t201 @t198 @t197 @t194 @t193 @t188)) % 0.38/0.76 (define @t225 () (or @t212 @t224)) % 0.38/0.76 (define @t226 () (forall @t214 @t225)) % 0.38/0.76 (define @t227 () (@list @t195 @t199 @t191 @t189 @t185)) % 0.38/0.76 (define @t228 () (forall @t227 @t225)) % 0.38/0.76 (define @t229 () (forall @t227 @t224)) % 0.38/0.76 (define @t230 () (@var "BOUND_VARIABLE_8568" tptp.list_elt)) % 0.38/0.76 (define @t231 () (@var "BOUND_VARIABLE_8566" tptp.list_elt)) % 0.38/0.76 (define @t232 () (@var "BOUND_VARIABLE_8564" tptp.list_elt)) % 0.38/0.76 (define @t233 () (or @t212 @t229)) % 0.38/0.76 (define @t234 () (tptp.t2tb @t230)) % 0.38/0.76 (define @t235 () (tptp.sorted1 @t230)) % 0.38/0.76 (define @t236 () (and @t235 (tptp.permut tptp.elt @t234 @t108))) % 0.38/0.76 (define @t237 () (tptp.t2tb @t231)) % 0.38/0.76 (define @t238 () (tptp.t2tb @t232)) % 0.38/0.76 (define @t239 () (not (tptp.permut tptp.elt @t234 (tptp.infix_plpl tptp.elt @t238 @t237)))) % 0.38/0.76 (define @t240 () (not @t235)) % 0.38/0.76 (define @t241 () (not (tptp.permut tptp.elt @t237 @t129))) % 0.38/0.76 (define @t242 () (not (tptp.sorted1 @t231))) % 0.38/0.76 (define @t243 () (not (tptp.permut tptp.elt @t238 @t136))) % 0.38/0.76 (define @t244 () (not (tptp.sorted1 @t232))) % 0.38/0.76 (define @t245 () (not @t143)) % 0.38/0.76 (define @t246 () (+ -1 @t155)) % 0.38/0.76 (define @t247 () (= @t153 @t246)) % 0.38/0.76 (define @t248 () (not @t247)) % 0.38/0.76 (define @t249 () (= @t153 @t155)) % 0.38/0.76 (define @t250 () (not @t249)) % 0.38/0.76 (define @t251 () (and @t250 (or @t208 @t248))) % 0.38/0.76 (define @t252 () (not (tptp.permut tptp.elt (tptp.infix_plpl tptp.elt @t142 @t207) @t108))) % 0.38/0.76 (define @t253 () (or @t252 @t251 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236)) % 0.38/0.76 (define @t254 () (@list @t128 @t135 @t232 @t231 @t230)) % 0.38/0.76 (define @t255 () (forall @t254 @t253)) % 0.38/0.76 (define @t256 () (not (= @t91 @t91))) % 0.38/0.76 (define @t257 () (= @t91 @t172)) % 0.38/0.76 (define @t258 () (not @t257)) % 0.38/0.76 (define @t259 () (or @t258 @t258)) % 0.38/0.76 (define @t260 () (forall @t175 @t258)) % 0.38/0.76 (define @t261 () (or @t255 @t260)) % 0.38/0.76 (define @t262 () (or @t255 @t258)) % 0.38/0.76 (define @t263 () (or @t258 @t255)) % 0.38/0.76 (define @t264 () (= @t91 @t167)) % 0.38/0.76 (define @t265 () (not @t264)) % 0.38/0.76 (define @t266 () (or @t265 @t265)) % 0.38/0.76 (define @t267 () (forall @t170 @t265)) % 0.38/0.76 (define @t268 () (or @t255 @t267)) % 0.38/0.76 (define @t269 () (or @t255 @t265)) % 0.38/0.76 (define @t270 () (or @t265 @t255)) % 0.38/0.76 (define @t271 () (or @t252 @t251 @t256 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236)) % 0.38/0.76 (define @t272 () (= @t91 @t124)) % 0.38/0.76 (define @t273 () (not @t272)) % 0.38/0.76 (define @t274 () (and @t250 (or (not @t158) @t248))) % 0.38/0.76 (define @t275 () (not @t162)) % 0.38/0.76 (define @t276 () (@list @t124)) % 0.38/0.76 (define @t277 () (or @t273 @t275 @t274 @t273 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236)) % 0.38/0.76 (define @t278 () (or @t275 @t274 @t273 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236)) % 0.38/0.76 (define @t279 () (forall @t276 @t278)) % 0.38/0.76 (define @t280 () (forall @t254 @t279)) % 0.38/0.76 (define @t281 () (forall (@list @t128 @t135 @t232 @t231 @t230 @t124) @t278)) % 0.38/0.76 (define @t282 () (@list @t128 @t135 @t124 @t232 @t231 @t230)) % 0.38/0.76 (define @t283 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t236)) % 0.38/0.76 (define @t284 () (or @t275 @t274 @t273 @t245 @t283)) % 0.38/0.76 (define @t285 () (forall @t282 @t284)) % 0.38/0.76 (define @t286 () (@list @t232 @t231 @t230)) % 0.38/0.76 (define @t287 () (forall @t286 @t284)) % 0.38/0.76 (define @t288 () (forall @t286 @t283)) % 0.38/0.76 (define @t289 () (@var "BOUND_VARIABLE_8500" tptp.list_elt)) % 0.38/0.76 (define @t290 () (@var "BOUND_VARIABLE_8498" tptp.list_elt)) % 0.38/0.76 (define @t291 () (or @t275 @t274 @t273 @t245 @t288)) % 0.38/0.76 (define @t292 () (tptp.t2tb @t289)) % 0.38/0.76 (define @t293 () (tptp.sorted1 @t289)) % 0.38/0.76 (define @t294 () (and @t293 (tptp.permut tptp.elt @t292 @t108))) % 0.38/0.76 (define @t295 () (tptp.t2tb @t290)) % 0.38/0.76 (define @t296 () (not (tptp.permut tptp.elt @t292 (tptp.infix_plpl tptp.elt @t116 @t295)))) % 0.38/0.76 (define @t297 () (not @t293)) % 0.38/0.76 (define @t298 () (not (tptp.permut tptp.elt @t295 @t129))) % 0.38/0.76 (define @t299 () (not (tptp.sorted1 @t290))) % 0.38/0.76 (define @t300 () (not @t137)) % 0.38/0.76 (define @t301 () (not @t123)) % 0.38/0.76 (define @t302 () (or @t301 @t300 @t299 @t298 @t297 @t296 @t294)) % 0.38/0.76 (define @t303 () (@list @t115 @t290 @t289)) % 0.38/0.76 (define @t304 () (forall @t303 @t302)) % 0.38/0.76 (define @t305 () (or @t275 @t274 @t273 @t245 @t304)) % 0.38/0.76 (define @t306 () (or @t273 @t245 @t304)) % 0.38/0.76 (define @t307 () (or @t273 @t245 @t304 @t273)) % 0.38/0.76 (define @t308 () (and @t158 @t247)) % 0.38/0.76 (define @t309 () (or @t249 @t308)) % 0.38/0.76 (define @t310 () (and @t162 @t309)) % 0.38/0.76 (define @t311 () (= tptp.true1 tptp.true1)) % 0.38/0.76 (define @t312 () (not @t311)) % 0.38/0.76 (define @t313 () (or (= @t311 @t273) @t312)) % 0.38/0.76 (define @t314 () (= tptp.true1 @t146)) % 0.38/0.76 (define @t315 () (not @t314)) % 0.38/0.76 (define @t316 () (= @t314 @t273)) % 0.38/0.76 (define @t317 () (or @t315 @t316 @t315)) % 0.38/0.76 (define @t318 () (or @t316 @t315)) % 0.38/0.76 (define @t319 () (forall @t151 @t318)) % 0.38/0.76 (define @t320 () (or @t273 @t245 @t304 @t319)) % 0.38/0.76 (define @t321 () (or @t273 @t245 @t304 @t318)) % 0.38/0.76 (define @t322 () (or @t316 @t315 @t273 @t245 @t304)) % 0.38/0.76 (define @t323 () (= @t273 @t314)) % 0.38/0.76 (define @t324 () (or @t323 @t315 @t273 @t245 @t304)) % 0.38/0.76 (define @t325 () (or @t315 @t273 @t245 @t304)) % 0.38/0.76 (define @t326 () (or @t245 @t273 @t304)) % 0.38/0.76 (define @t327 () (or @t273 @t304)) % 0.38/0.76 (define @t328 () (=> @t143 @t327)) % 0.38/0.76 (define @t329 () (=> @t272 @t328)) % 0.38/0.76 (define @t330 () (=> @t314 @t329)) % 0.38/0.76 (define @t331 () (= @t272 @t314)) % 0.38/0.76 (define @t332 () (or @t299 @t298 @t297 @t296 @t294)) % 0.38/0.76 (define @t333 () (or @t301 @t300 @t332)) % 0.38/0.76 (define @t334 () (forall @t303 @t333)) % 0.38/0.76 (define @t335 () (@list @t290 @t289)) % 0.38/0.76 (define @t336 () (forall @t335 @t333)) % 0.38/0.76 (define @t337 () (forall @t335 @t332)) % 0.38/0.76 (define @t338 () (@var "BOUND_VARIABLE_8472" tptp.list_elt)) % 0.38/0.76 (define @t339 () (or @t301 @t300 @t337)) % 0.38/0.76 (define @t340 () (tptp.t2tb @t338)) % 0.38/0.76 (define @t341 () (tptp.sorted1 @t338)) % 0.38/0.76 (define @t342 () (and @t341 (tptp.permut tptp.elt @t340 @t108))) % 0.38/0.76 (define @t343 () (not (tptp.permut tptp.elt @t340 @t117))) % 0.38/0.76 (define @t344 () (not @t341)) % 0.38/0.76 (define @t345 () (not @t130)) % 0.38/0.76 (define @t346 () (not @t122)) % 0.38/0.76 (define @t347 () (or @t346 @t345 @t344 @t343 @t342)) % 0.38/0.76 (define @t348 () (@list @t113 @t338)) % 0.38/0.76 (define @t349 () (forall @t348 @t347)) % 0.38/0.76 (define @t350 () (or @t301 @t300 @t349)) % 0.38/0.76 (define @t351 () (forall @t140 @t350)) % 0.38/0.76 (define @t352 () (or @t273 @t351)) % 0.38/0.76 (define @t353 () (or @t273 @t350)) % 0.38/0.76 (define @t354 () (or @t301 @t300 @t273 @t349)) % 0.38/0.76 (define @t355 () (or @t273 @t301 @t349)) % 0.38/0.76 (define @t356 () (or @t344 @t343 @t342)) % 0.38/0.76 (define @t357 () (or @t346 @t345 @t356)) % 0.38/0.76 (define @t358 () (forall @t348 @t357)) % 0.38/0.76 (define @t359 () (@list @t338)) % 0.38/0.76 (define @t360 () (forall @t359 @t357)) % 0.38/0.76 (define @t361 () (forall @t359 @t356)) % 0.38/0.76 (define @t362 () (or @t346 @t345 @t361)) % 0.38/0.76 (define @t363 () (not @t118)) % 0.38/0.76 (define @t364 () (not @t111)) % 0.38/0.76 (define @t365 () (or @t364 @t363 @t112)) % 0.38/0.76 (define @t366 () (forall @t120 @t365)) % 0.38/0.76 (define @t367 () (or @t346 @t345 @t366)) % 0.38/0.76 (define @t368 () (forall @t133 @t367)) % 0.38/0.76 (define @t369 () (or @t273 @t301 @t368)) % 0.38/0.76 (define @t370 () (or @t273 @t301 @t367)) % 0.38/0.76 (define @t371 () (or @t346 @t345 @t273 @t301 @t366)) % 0.38/0.76 (define @t372 () (or @t273 @t301 @t346 @t366)) % 0.38/0.76 (define @t373 () (or @t273 @t301 @t346)) % 0.38/0.76 (define @t374 () (and @t272 @t123 @t122)) % 0.38/0.76 (define @t375 () (=> @t374 @t366)) % 0.38/0.76 (define @t376 () (+ 1 @t153)) % 0.38/0.76 (define @t377 () (+ @t177 1)) % 0.38/0.76 (define @t378 () (>= 1 @t177)) % 0.38/0.76 (define @t379 () (tptp.permut tptp.elt @t223 @t216)) % 0.38/0.76 (define @t380 () (tptp.sorted1 @t222)) % 0.38/0.76 (define @t381 () (and @t380 @t379)) % 0.38/0.76 (define @t382 () (tptp.permut tptp.elt @t223 @t221)) % 0.38/0.76 (define @t383 () (not @t382)) % 0.38/0.76 (define @t384 () (not @t380)) % 0.38/0.76 (define @t385 () (tptp.t2tb (@quantifiers_skolemize @t215 1))) % 0.38/0.76 (define @t386 () (tptp.permut tptp.elt @t218 @t385)) % 0.38/0.76 (define @t387 () (not @t386)) % 0.38/0.76 (define @t388 () (tptp.t2tb (@quantifiers_skolemize @t215 2))) % 0.38/0.76 (define @t389 () (tptp.permut tptp.elt @t220 @t388)) % 0.38/0.76 (define @t390 () (not @t389)) % 0.38/0.76 (define @t391 () (tptp.infix_plpl tptp.elt @t388 @t385)) % 0.38/0.76 (define @t392 () (tptp.permut tptp.elt @t391 @t216)) % 0.38/0.76 (define @t393 () (not @t392)) % 0.38/0.76 (define @t394 () (tptp.length2 tptp.elt @t388)) % 0.38/0.76 (define @t395 () (tptp.length2 tptp.elt @t385)) % 0.38/0.76 (define @t396 () (or (not (>= (tptp.length2 tptp.elt @t216) 2)) (not (tptp.permut tptp.elt (tptp.infix_plpl tptp.elt @t391 @t207) @t216)) (and (not (= @t395 @t394)) (or @t208 (not (= @t395 (+ -1 @t394))))) @t393 (not (tptp.sorted1 @t219)) @t390 (not (tptp.sorted1 @t217)) @t387 @t384 @t383 @t381)) % 0.38/0.76 (define @t397 () (@list true)) % 0.38/0.76 (define @t398 () (@list @t396)) % 0.38/0.76 (define @t399 () (not @t379)) % 0.38/0.76 (define @t400 () (tptp.permut tptp.elt @t221 @t216)) % 0.38/0.76 (define @t401 () (not @t400)) % 0.38/0.76 (define @t402 () (or @t383 @t401 @t379)) % 0.38/0.76 (define @t403 () (not @t75)) % 0.38/0.76 (define @t404 () (not @t77)) % 0.38/0.76 (define @t405 () (tptp.permut tptp.elt @t221 @t391)) % 0.38/0.76 (define @t406 () (or @t390 @t387 @t405)) % 0.38/0.76 (define @t407 () (not @t405)) % 0.38/0.76 (define @t408 () (or @t407 @t393 @t400)) % 0.38/0.76 (define @t409 () (not @t408)) % 0.38/0.76 (define @t410 () (forall @t43 @t184)) % 0.38/0.76 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.38/0.76 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 0.38/0.76 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 0.38/0.76 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 0.38/0.76 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.38/0.76 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 0.38/0.76 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 0.38/0.76 (assume @p8 (forall (@list @t13 @t12 @t11) (=> (<= @t13 @t12) (=> (<= 0 @t11) (<= (* @t13 @t11) (* @t12 @t11)))))) % 0.38/0.76 (assume @p9 (forall @t2 (tptp.sort1 @t15 @t14))) % 0.38/0.76 (assume @p10 (forall @t18 (tptp.sort1 @t15 @t17))) % 0.38/0.76 (assume @p11 (forall (@list @t1 @t19 @t16 @t4 @t3) (tptp.sort1 @t19 (tptp.match_list1 @t19 @t1 @t16 @t4 @t3)))) % 0.38/0.76 (assume @p12 (forall (@list @t1 @t19 @t6 @t7) (=> (tptp.sort1 @t19 @t6) (= (tptp.match_list1 @t19 @t1 @t14 @t6 @t7) @t6)))) % 0.38/0.76 (assume @p13 (forall (@list @t1 @t19 @t6 @t7 @t21 @t20) (=> (tptp.sort1 @t19 @t7) (= (tptp.match_list1 @t19 @t1 @t22 @t6 @t7) @t7)))) % 0.38/0.76 (assume @p14 (forall (@list @t1 @t24 @t23) (not (= @t14 (tptp.cons @t1 @t24 @t23))))) % 0.38/0.76 (assume @p15 (forall @t25 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t16)))) % 0.38/0.76 (assume @p16 (forall @t26 (=> (tptp.sort1 @t1 @t21) (= (tptp.cons_proj_11 @t1 @t22) @t21)))) % 0.38/0.76 (assume @p17 (forall @t25 (tptp.sort1 @t15 (tptp.cons_proj_21 @t1 @t16)))) % 0.38/0.76 (assume @p18 (forall @t26 (= (tptp.cons_proj_21 @t1 @t22) @t20))) % 0.38/0.76 (assume @p19 (forall @t27 (or (= @t21 @t14) (= @t21 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t21) (tptp.cons_proj_21 @t1 @t21)))))) % 0.38/0.76 (assume @p20 (forall @t25 (=> @t32 (and (not (tptp.mem @t1 @t16 @t14)) (forall @t31 (=> @t30 (= (tptp.mem @t1 @t16 @t29) (or @t28 (tptp.mem @t1 @t16 @t3))))))))) % 0.38/0.76 (assume @p21 (forall @t2 (and (= (tptp.length2 @t1 @t14) 0) (forall @t33 (= (tptp.length2 @t1 @t17) (+ 1 (tptp.length2 @t1 @t4))))))) % 0.38/0.76 (assume @p22 (forall @t36 (<= 0 @t35))) % 0.38/0.76 (assume @p23 (forall @t36 (= (= @t35 0) (= @t34 @t14)))) % 0.38/0.76 (assume @p24 (forall @t18 (tptp.sort1 @t15 (tptp.infix_plpl @t1 @t16 @t4)))) % 0.38/0.76 (assume @p25 (forall (@list @t1 @t37) (and (= (tptp.infix_plpl @t1 @t14 @t37) @t37) (forall @t33 (= (tptp.infix_plpl @t1 @t17 @t37) (tptp.cons @t1 @t16 (tptp.infix_plpl @t1 @t4 @t37))))))) % 0.38/0.76 (assume @p26 (forall @t43 (= @t42 @t41))) % 0.38/0.76 (assume @p27 (forall @t36 (= (tptp.infix_plpl @t1 @t34 @t14) @t34))) % 0.38/0.76 (assume @p28 (forall @t46 (= (tptp.length2 @t1 @t40) (+ @t45 @t44)))) % 0.38/0.76 (assume @p29 (forall @t49 (= (tptp.mem @t1 @t16 @t40) (or @t48 @t47)))) % 0.38/0.76 (assume @p30 (forall @t53 (=> @t52 (exists (@list @t39 @t37) (and (tptp.sort1 @t15 @t39) (tptp.sort1 @t15 @t37) (= @t34 @t51)))))) % 0.38/0.76 (assume @p31 (forall @t25 (=> @t32 (and (= (tptp.num_occ1 @t1 @t16 @t14) 0) (forall @t31 (=> @t30 (and (=> @t28 (= @t55 (+ 1 @t54))) (=> (not @t28) (= @t55 (+ 0 @t54)))))))))) % 0.38/0.76 (assume @p32 (forall @t53 (= @t52 (< 0 @t56)))) % 0.38/0.76 (assume @p33 (forall @t49 (= (tptp.num_occ1 @t1 @t16 @t40) (+ @t58 @t57)))) % 0.38/0.76 (assume @p34 (forall @t25 (tptp.sort1 @t15 (tptp.reverse @t1 @t16)))) % 0.38/0.76 (assume @p35 (forall @t2 (and (= (tptp.reverse @t1 @t14) @t14) (forall @t33 (= (tptp.reverse @t1 @t17) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t4) @t59)))))) % 0.38/0.76 (assume @p36 (forall (@list @t1 @t39 @t37 @t16) (= (tptp.infix_plpl @t1 (tptp.reverse @t1 @t60) @t37) (tptp.infix_plpl @t1 (tptp.reverse @t1 @t39) @t50)))) % 0.38/0.76 (assume @p37 (forall @t63 (= (tptp.reverse @t1 @t62) (tptp.infix_plpl @t1 @t61 @t59)))) % 0.38/0.76 (assume @p38 (forall @t36 (= (tptp.reverse @t1 @t61) @t34))) % 0.38/0.76 (assume @p39 (forall @t63 (= @t52 (tptp.mem @t1 @t16 @t61)))) % 0.38/0.76 (assume @p40 (forall @t36 (= (tptp.length2 @t1 @t61) @t35))) % 0.38/0.76 (assume @p41 (forall @t53 (= @t56 (tptp.num_occ1 @t1 @t16 @t61)))) % 0.38/0.76 (assume @p42 (forall @t46 (and (=> @t64 (forall @t66 @t65)) (=> (forall @t66 (=> @t32 @t65)) @t64)))) % 0.38/0.76 (assume @p43 (forall @t36 (tptp.permut @t1 @t34 @t34))) % 0.38/0.76 (assume @p44 (forall @t46 (=> @t64 (tptp.permut @t1 @t37 @t39)))) % 0.38/0.76 (assume @p45 @t70) % 0.38/0.76 (assume @p46 (forall @t49 (=> @t64 (tptp.permut @t1 @t60 @t50)))) % 0.38/0.76 (assume @p47 (forall (@list @t1 @t16 @t71 @t34) (tptp.permut @t1 (tptp.cons @t1 @t16 (tptp.cons @t1 @t71 @t34)) (tptp.cons @t1 @t71 @t62)))) % 0.38/0.76 (assume @p48 (forall @t49 (tptp.permut @t1 (tptp.infix_plpl @t1 @t60 @t37) @t51))) % 0.38/0.76 (assume @p49 (forall @t43 (tptp.permut @t1 @t41 @t42))) % 0.38/0.76 (assume @p50 @t78) % 0.38/0.76 (assume @p51 (forall @t46 (tptp.permut @t1 @t40 (tptp.infix_plpl @t1 @t37 @t39)))) % 0.38/0.76 (assume @p52 (forall @t49 (=> @t64 (=> @t48 @t47)))) % 0.38/0.76 (assume @p53 (forall @t46 (=> @t64 (= @t45 @t44)))) % 0.38/0.76 (assume @p54 (forall @t25 (tptp.sort1 (tptp.t @t1) (tptp.mk_t @t1 @t16)))) % 0.38/0.76 (assume @p55 (forall @t25 (tptp.sort1 @t15 (tptp.elts @t1 @t16)))) % 0.38/0.76 (assume @p56 (forall @t27 (= (tptp.elts @t1 (tptp.mk_t @t1 @t21)) @t21))) % 0.38/0.76 (assume @p57 (forall @t27 (= @t21 (tptp.mk_t @t1 (tptp.elts @t1 @t21))))) % 0.38/0.76 (assume @p58 (forall (@list @t1 @t79) (= (tptp.length3 @t1 @t79) (tptp.length2 @t1 (tptp.elts @t1 @t79))))) % 0.38/0.76 (assume @p59 (forall @t81 (tptp.le1 @t80 @t80))) % 0.38/0.76 (assume @p60 (forall (@list @t80 @t83 @t82) (=> @t84 (=> (tptp.le1 @t83 @t82) (tptp.le1 @t80 @t82))))) % 0.38/0.76 (assume @p61 (forall @t85 (or @t84 (tptp.le1 @t83 @t80)))) % 0.38/0.76 (assume @p62 (forall (@list @t86) (tptp.sort1 (tptp.list tptp.elt) (tptp.t2tb @t86)))) % 0.38/0.76 (assume @p63 (forall (@list @t87) (= (tptp.tb2t (tptp.t2tb @t87)) @t87))) % 0.38/0.76 (assume @p64 (forall @t89 (= (tptp.t2tb (tptp.tb2t @t88)) @t88))) % 0.38/0.76 (assume @p65 (tptp.sorted1 @t91)) % 0.38/0.76 (assume @p66 (forall @t81 (tptp.sort1 tptp.elt @t92))) % 0.38/0.76 (assume @p67 (forall (@list @t93) (= (tptp.tb2t1 (tptp.t2tb1 @t93)) @t93))) % 0.38/0.76 (assume @p68 (forall @t89 (=> (tptp.sort1 tptp.elt @t88) (= (tptp.t2tb1 (tptp.tb2t1 @t88)) @t88)))) % 0.38/0.76 (assume @p69 (forall @t81 (tptp.sorted1 @t94))) % 0.38/0.76 (assume @p70 (forall @t101 (=> @t84 (=> @t100 (tptp.sorted1 @t99))))) % 0.38/0.76 (assume @p71 (forall (@list @t102) (=> (tptp.sorted1 @t102) (or (= @t102 @t91) (exists @t81 (= @t102 @t94)) (exists @t101 (and @t84 @t100 (= @t102 @t99))))))) % 0.38/0.76 (assume @p72 (forall (@list @t80 @t95) (= (and (forall (@list @t83) (=> (tptp.mem tptp.elt @t97 @t96) @t84)) (tptp.sorted1 @t95)) (tptp.sorted1 (tptp.tb2t (tptp.cons tptp.elt @t92 @t96)))))) % 0.38/0.76 (assume @p73 (forall (@list @t105 @t103) (= (and (tptp.sorted1 @t105) (tptp.sorted1 @t103) (forall @t85 (=> (tptp.mem tptp.elt @t92 @t106) (=> (tptp.mem tptp.elt @t97 @t104) @t84)))) (tptp.sorted1 (tptp.tb2t (tptp.infix_plpl tptp.elt @t106 @t104)))))) % 0.38/0.76 (assume @p74 @t181) % 0.38/0.76 (assume @p75 true) % 0.38/0.76 (step @p76 :rule aci_norm :args ((= (or @t183 (or @t182 @t67)) @t184))) % 0.38/0.76 (step @p77 :rule bool-impl-elim :args (@t68 @t67)) % 0.38/0.76 (step @p78 :rule refl :args (@t183)) % 0.38/0.76 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t183 @t69))) % 0.38/0.76 (step @p80 :rule trans :premises (@p79 @p76)) % 0.38/0.76 (step @p81 :rule bool-impl-elim :args (@t64 @t69)) % 0.38/0.76 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.76 (step @p83 :rule cong :premises (@p82) :args (@t70)) % 0.38/0.76 (step @p84 :rule eq_resolve :premises (@p45 @p83)) % 0.38/0.76 (step @p85 :rule instantiate :premises (@p84) :args ((@list tptp.elt @t223 @t221 @t216))) % 0.38/0.76 (step @p86 :rule aci_norm :args ((= @t225 @t213))) % 0.38/0.76 (step @p87 :rule cong :premises (@p86) :args (@t226)) % 0.38/0.76 (step @p88 :rule quant-merge-prenex :args ((= (forall @t179 @t228) @t226))) % 0.38/0.76 (step @p89 :rule alpha_equiv :args (@t229 (@list @t195 @t199 @t191 @t189 @t185) (@list @t128 @t135 @t232 @t231 @t230))) % 0.38/0.76 (step @p90 :rule refl :args (@t212)) % 0.38/0.76 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t233)) % 0.38/0.76 (step @p92 :rule quant-miniscope-or :args ((= @t228 @t233))) % 0.38/0.76 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.76 (step @p94 :rule symm :premises (@p93)) % 0.38/0.76 (step @p95 :rule cong :premises (@p94) :args ((forall @t179 (or @t212 @t255)))) % 0.38/0.76 (step @p96 :rule trans :premises (@p95 @p88)) % 0.38/0.76 (step @p97 :rule trans :premises (@p96 @p87)) % 0.38/0.76 (step @p98 :rule bool-impl-elim :args (@t211 @t255)) % 0.38/0.76 (step @p99 :rule cong :premises (@p98) :args ((forall @t179 (=> @t211 @t255)))) % 0.38/0.76 (step @p100 :rule trans :premises (@p99 @p97)) % 0.38/0.76 (step @p101 :rule aci_norm :args ((= (or @t255 false) @t255))) % 0.38/0.76 (step @p102 :rule evaluate :args ((not true))) % 0.38/0.76 (step @p103 :rule eq-refl :args (@t91)) % 0.38/0.76 (step @p104 :rule cong :premises (@p103) :args (@t256)) % 0.38/0.76 (step @p105 :rule trans :premises (@p104 @p102)) % 0.38/0.76 (step @p106 :rule quant-var-elim-eq :args ((= (forall @t175 (or (not @t173) @t258)) @t256))) % 0.38/0.76 (step @p107 :rule refl :args (@t258)) % 0.38/0.76 (step @p108 :rule eq-symm :args (@t91 @t172)) % 0.38/0.76 (step @p109 :rule cong :premises (@p108) :args (@t258)) % 0.38/0.76 (step @p110 :rule nary_cong :premises (@p109 @p107) :args (@t259)) % 0.38/0.76 (step @p111 :rule aci_norm :args ((= @t258 @t259))) % 0.38/0.76 (step @p112 :rule trans :premises (@p111 @p110)) % 0.38/0.76 (step @p113 :rule cong :premises (@p112) :args (@t260)) % 0.38/0.76 (step @p114 :rule trans :premises (@p113 @p106)) % 0.38/0.76 (step @p115 :rule trans :premises (@p114 @p105)) % 0.38/0.76 (step @p116 :rule refl :args (@t255)) % 0.38/0.76 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t261)) % 0.38/0.76 (step @p118 :rule trans :premises (@p117 @p101)) % 0.38/0.76 (step @p119 :rule quant-miniscope-or :args ((= (forall @t175 @t262) @t261))) % 0.38/0.76 (step @p120 :rule aci_norm :args ((= @t263 @t262))) % 0.38/0.76 (step @p121 :rule cong :premises (@p120) :args ((forall @t175 @t263))) % 0.38/0.76 (step @p122 :rule trans :premises (@p121 @p119)) % 0.38/0.76 (step @p123 :rule trans :premises (@p122 @p118)) % 0.38/0.76 (step @p124 :rule bool-impl-elim :args (@t257 @t255)) % 0.38/0.76 (step @p125 :rule cong :premises (@p124) :args ((forall @t175 (=> @t257 @t255)))) % 0.38/0.76 (step @p126 :rule trans :premises (@p125 @p123)) % 0.38/0.76 (step @p127 :rule quant-var-elim-eq :args ((= (forall @t170 (or (not @t168) @t265)) @t256))) % 0.38/0.76 (step @p128 :rule refl :args (@t265)) % 0.38/0.76 (step @p129 :rule eq-symm :args (@t91 @t167)) % 0.38/0.76 (step @p130 :rule cong :premises (@p129) :args (@t265)) % 0.38/0.76 (step @p131 :rule nary_cong :premises (@p130 @p128) :args (@t266)) % 0.38/0.76 (step @p132 :rule aci_norm :args ((= @t265 @t266))) % 0.38/0.76 (step @p133 :rule trans :premises (@p132 @p131)) % 0.38/0.76 (step @p134 :rule cong :premises (@p133) :args (@t267)) % 0.38/0.76 (step @p135 :rule trans :premises (@p134 @p127)) % 0.38/0.76 (step @p136 :rule trans :premises (@p135 @p105)) % 0.38/0.76 (step @p137 :rule nary_cong :premises (@p116 @p136) :args (@t268)) % 0.38/0.76 (step @p138 :rule trans :premises (@p137 @p101)) % 0.38/0.76 (step @p139 :rule quant-miniscope-or :args ((= (forall @t170 @t269) @t268))) % 0.38/0.76 (step @p140 :rule aci_norm :args ((= @t270 @t269))) % 0.38/0.76 (step @p141 :rule cong :premises (@p140) :args ((forall @t170 @t270))) % 0.38/0.76 (step @p142 :rule trans :premises (@p141 @p139)) % 0.38/0.76 (step @p143 :rule trans :premises (@p142 @p138)) % 0.38/0.76 (step @p144 :rule bool-impl-elim :args (@t264 @t255)) % 0.38/0.76 (step @p145 :rule cong :premises (@p144) :args ((forall @t170 (=> @t264 @t255)))) % 0.38/0.76 (step @p146 :rule trans :premises (@p145 @p143)) % 0.38/0.76 (step @p147 :rule aci_norm :args ((= (or @t252 @t251 false @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236) @t253))) % 0.38/0.76 (step @p148 :rule refl :args (@t236)) % 0.38/0.76 (step @p149 :rule refl :args (@t239)) % 0.38/0.76 (step @p150 :rule refl :args (@t240)) % 0.38/0.76 (step @p151 :rule refl :args (@t241)) % 0.38/0.76 (step @p152 :rule refl :args (@t242)) % 0.38/0.76 (step @p153 :rule refl :args (@t243)) % 0.38/0.76 (step @p154 :rule refl :args (@t244)) % 0.38/0.76 (step @p155 :rule refl :args (@t245)) % 0.38/0.76 (step @p156 :rule refl :args (@t251)) % 0.38/0.76 (step @p157 :rule refl :args (@t252)) % 0.38/0.76 (step @p158 :rule nary_cong :premises (@p157 @p156 @p105 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148) :args (@t271)) % 0.38/0.76 (step @p159 :rule trans :premises (@p158 @p147)) % 0.38/0.76 (step @p160 :rule cong :premises (@p159) :args ((forall @t254 @t271))) % 0.38/0.76 (step @p161 :rule quant-var-elim-eq :args ((= (forall @t276 (or (not @t125) @t275 @t274 @t273 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t236)) @t271))) % 0.38/0.76 (step @p162 :rule refl :args (@t236)) % 0.38/0.76 (step @p163 :rule refl :args (@t239)) % 0.38/0.76 (step @p164 :rule refl :args (@t240)) % 0.38/0.76 (step @p165 :rule refl :args (@t241)) % 0.38/0.76 (step @p166 :rule refl :args (@t242)) % 0.38/0.76 (step @p167 :rule refl :args (@t243)) % 0.38/0.76 (step @p168 :rule refl :args (@t244)) % 0.38/0.76 (step @p169 :rule refl :args (@t245)) % 0.38/0.76 (step @p170 :rule refl :args (@t273)) % 0.38/0.76 (step @p171 :rule refl :args (@t274)) % 0.38/0.76 (step @p172 :rule refl :args (@t275)) % 0.38/0.76 (step @p173 :rule eq-symm :args (@t91 @t124)) % 0.38/0.76 (step @p174 :rule cong :premises (@p173) :args (@t273)) % 0.38/0.76 (step @p175 :rule nary_cong :premises (@p174 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162) :args (@t277)) % 0.38/0.76 (step @p176 :rule aci_norm :args ((= @t278 @t277))) % 0.38/0.76 (step @p177 :rule trans :premises (@p176 @p175)) % 0.38/0.76 (step @p178 :rule cong :premises (@p177) :args (@t279)) % 0.38/0.76 (step @p179 :rule trans :premises (@p178 @p161)) % 0.38/0.76 (step @p180 :rule cong :premises (@p179) :args (@t280)) % 0.38/0.76 (step @p181 :rule quant-merge-prenex :args ((= @t280 @t281))) % 0.38/0.76 (step @p182 :rule symm :premises (@p181)) % 0.38/0.76 (step @p183 :rule quant_var_reordering :args ((= (forall @t282 @t278) @t281))) % 0.38/0.76 (step @p184 :rule trans :premises (@p183 @p182 @p180)) % 0.38/0.76 (step @p185 :rule trans :premises (@p184 @p160)) % 0.38/0.76 (step @p186 :rule aci_norm :args ((= @t284 @t278))) % 0.38/0.76 (step @p187 :rule cong :premises (@p186) :args (@t285)) % 0.38/0.76 (step @p188 :rule trans :premises (@p187 @p185)) % 0.38/0.76 (step @p189 :rule quant-merge-prenex :args ((= (forall @t165 @t287) @t285))) % 0.38/0.76 (step @p190 :rule alpha_equiv :args (@t288 (@list @t232 @t231 @t230) (@list @t115 @t290 @t289))) % 0.38/0.76 (step @p191 :rule nary_cong :premises (@p172 @p171 @p170 @p169 @p190) :args (@t291)) % 0.38/0.76 (step @p192 :rule quant-miniscope-or :args ((= @t287 @t291))) % 0.38/0.76 (step @p193 :rule trans :premises (@p192 @p191)) % 0.38/0.76 (step @p194 :rule symm :premises (@p193)) % 0.38/0.76 (step @p195 :rule cong :premises (@p194) :args ((forall @t165 @t305))) % 0.38/0.76 (step @p196 :rule trans :premises (@p195 @p189)) % 0.38/0.76 (step @p197 :rule trans :premises (@p196 @p188)) % 0.38/0.76 (step @p198 :rule aci_norm :args ((= (or (or @t275 @t274) @t306) @t305))) % 0.38/0.76 (step @p199 :rule aci_norm :args ((= @t307 @t306))) % 0.38/0.76 (step @p200 :rule bool-and-de-morgan :args (@t158 @t247 true)) % 0.38/0.76 (step @p201 :rule refl :args (@t250)) % 0.38/0.76 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((and @t250 (not @t308)))) % 0.38/0.76 (step @p203 :rule bool-or-de-morgan :args (@t249 @t308 false)) % 0.38/0.76 (step @p204 :rule trans :premises (@p203 @p202)) % 0.38/0.76 (step @p205 :rule nary_cong :premises (@p172 @p204) :args ((or @t275 (not @t309)))) % 0.38/0.76 (step @p206 :rule 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(@t401 (@list false true false) (@list @t382 @t379 @t402))) % 0.38/0.76 (step @p433 :rule aci_norm :args ((= (or @t404 (or @t403 @t74)) (or @t404 @t403 @t74)))) % 0.38/0.76 (step @p434 :rule bool-impl-elim :args (@t75 @t74)) % 0.38/0.76 (step @p435 :rule refl :args (@t404)) % 0.38/0.76 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t404 @t76))) % 0.38/0.76 (step @p437 :rule trans :premises (@p436 @p433)) % 0.38/0.76 (step @p438 :rule bool-impl-elim :args (@t77 @t76)) % 0.38/0.76 (step @p439 :rule trans :premises (@p438 @p437)) % 0.38/0.76 (step @p440 :rule cong :premises (@p439) :args (@t78)) % 0.38/0.76 (step @p441 :rule eq_resolve :premises (@p50 @p440)) % 0.38/0.76 (step @p442 :rule instantiate :premises (@p441) :args ((@list tptp.elt @t220 @t218 @t388 @t385))) % 0.38/0.76 (step @p443 :rule bool-double-not-elim :args (@t386)) % 0.38/0.76 (step @p444 :rule nary_cong :premises (@p415 @p443) :args ((or @t396 (not @t387)))) % 0.38/0.76 (step @p445 :rule cnf_or_neg :args (@t396 7)) % 0.38/0.76 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 0.38/0.76 (step @p447 :rule reordering :premises (@p446) :args ((or @t386 @t396))) % 0.38/0.76 (step @p448 :rule chain_m_resolution :premises (@p447 @p411) :args (@t386 @t397 @t398)) % 0.38/0.76 (step @p449 :rule bool-double-not-elim :args (@t389)) % 0.38/0.76 (step @p450 :rule nary_cong :premises (@p415 @p449) :args ((or @t396 (not @t390)))) % 0.38/0.76 (step @p451 :rule cnf_or_neg :args (@t396 5)) % 0.38/0.76 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 0.38/0.76 (step @p453 :rule reordering :premises (@p452) :args ((or @t389 @t396))) % 0.38/0.76 (step @p454 :rule chain_m_resolution :premises (@p453 @p411) :args (@t389 @t397 @t398)) % 0.38/0.76 (step @p455 :rule cnf_or_pos :args (@t406)) % 0.38/0.76 (step @p456 :rule reordering :premises (@p455) :args ((or @t390 @t387 @t405 (not @t406)))) % 0.38/0.76 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p448 @p442) :args (@t405 (@list false false false) (@list @t389 @t386 @t406))) % 0.38/0.76 (step @p458 :rule bool-double-not-elim :args (@t392)) % 0.38/0.76 (step @p459 :rule nary_cong :premises (@p415 @p458) :args ((or @t396 (not @t393)))) % 0.38/0.76 (step @p460 :rule cnf_or_neg :args (@t396 3)) % 0.38/0.76 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.38/0.76 (step @p462 :rule reordering :premises (@p461) :args ((or @t392 @t396))) % 0.38/0.76 (step @p463 :rule chain_m_resolution :premises (@p462 @p411) :args (@t392 @t397 @t398)) % 0.38/0.76 (step @p464 :rule cnf_or_pos :args (@t408)) % 0.38/0.76 (step @p465 :rule reordering :premises (@p464) :args ((or @t393 @t407 @t400 @t409))) % 0.38/0.76 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p457 @p432) :args (@t409 (@list false false true) (@list @t392 @t405 @t400))) % 0.38/0.76 (assume-push @p473 @t410) % 0.38/0.76 (step @p468 :rule instantiate :premises (@p84) :args ((@list tptp.elt @t221 @t391 @t216))) % 0.38/0.76 (step-pop @p474 :rule scope :premises (@p468)) % 0.38/0.76 (step @p469 :rule process_scope :premises (@p474) :args (@t408)) % 0.38/0.76 (step @p471 :rule implies_elim :premises (@p469)) % 0.38/0.76 (step @p472 false :rule chain_m_resolution :premises (@p471 @p466 @p84) :args (false (@list true false) (@list @t408 @t410))) % 0.38/0.76 ) % 0.38/0.76 % SZS output end Proof % 0.38/0.76 % cvc5 exiting %------------------------------------------------------------------------------