%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT227-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:29:56 AM UTC 2026 % Result : Unsatisfiable 44.04s 44.27s % Output : Proof 34.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT227-1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n029.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 06:04:02 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 21.85/22.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.96/28.14 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.97/34.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.04/44.27 % SZS status Unsatisfiable % 44.04/44.27 % SZS output start Proof % 44.04/44.29 ( % 44.04/44.29 (declare-sort $$unsorted 0) % 44.04/44.29 (declare-const tptp.b $$unsorted) % 44.04/44.29 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 44.04/44.29 (declare-const tptp.a $$unsorted) % 44.04/44.29 (declare-const tptp.one $$unsorted) % 44.04/44.29 (declare-const tptp.zero $$unsorted) % 44.04/44.29 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 44.04/44.29 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 44.04/44.29 (define @t1 () (@var "X" $$unsorted)) % 44.04/44.29 (define @t2 () (tptp.meet @t1 @t1)) % 44.04/44.29 (define @t3 () (@list @t1)) % 44.04/44.29 (define @t4 () (forall @t3 (= @t2 @t1))) % 44.04/44.29 (define @t5 () (@var "Y" $$unsorted)) % 44.04/44.29 (define @t6 () (tptp.join @t1 @t5)) % 44.04/44.29 (define @t7 () (tptp.meet @t1 @t6)) % 44.04/44.29 (define @t8 () (@list @t1 @t5)) % 44.04/44.29 (define @t9 () (forall @t8 (= @t7 @t1))) % 44.04/44.29 (define @t10 () (tptp.meet @t1 @t5)) % 44.04/44.29 (define @t11 () (tptp.join @t1 @t10)) % 44.04/44.29 (define @t12 () (forall @t8 (= @t11 @t1))) % 44.04/44.29 (define @t13 () (@var "Z" $$unsorted)) % 44.04/44.29 (define @t14 () (@list @t1 @t5 @t13)) % 44.04/44.29 (define @t15 () (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 44.04/44.29 (define @t16 () (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 44.04/44.29 (define @t17 () (tptp.complement @t1)) % 44.04/44.29 (define @t18 () (tptp.join @t1 @t17)) % 44.04/44.29 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 44.04/44.29 (define @t20 () (tptp.meet @t1 @t17)) % 44.04/44.29 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 44.04/44.29 (define @t22 () (not (= @t6 tptp.one))) % 44.04/44.29 (define @t23 () (not (= @t10 tptp.zero))) % 44.04/44.29 (define @t24 () (or @t23 @t22 (= @t17 @t5))) % 44.04/44.29 (define @t25 () (forall @t8 @t24)) % 44.04/44.29 (define @t26 () (tptp.meet @t1 @t13)) % 44.04/44.29 (define @t27 () (tptp.meet tptp.b tptp.a)) % 44.04/44.29 (define @t28 () (tptp.complement tptp.a)) % 44.04/44.29 (define @t29 () (tptp.complement tptp.b)) % 44.04/44.29 (define @t30 () (tptp.join @t29 @t28)) % 44.04/44.29 (define @t31 () (@list @t29 @t28)) % 44.04/44.29 (define @t32 () (@list tptp.b tptp.a)) % 44.04/44.29 (define @t33 () (@list tptp.b)) % 44.04/44.29 (define @t34 () (@list tptp.a)) % 44.04/44.29 (define @t35 () (@list tptp.a @t28)) % 44.04/44.29 (define @t36 () (@list @t28 @t29)) % 44.04/44.29 (define @t37 () (@list tptp.b @t29)) % 44.04/44.29 (define @t38 () (@list @t29 @t30)) % 44.04/44.29 (define @t39 () (tptp.meet @t29 @t30)) % 44.04/44.29 (define @t40 () (tptp.join @t28 @t29)) % 44.04/44.29 (define @t41 () (tptp.meet @t29 @t28)) % 44.04/44.29 (define @t42 () (tptp.meet tptp.b @t28)) % 44.04/44.29 (define @t43 () (@list tptp.a @t42)) % 44.04/44.29 (define @t44 () (tptp.join tptp.b @t29)) % 44.04/44.29 (define @t45 () (@list tptp.b @t28)) % 44.04/44.29 (define @t46 () (tptp.meet tptp.a @t28)) % 44.04/44.29 (define @t47 () (@list @t27 @t29)) % 44.04/44.29 (define @t48 () (@list @t29 tptp.b)) % 44.04/44.29 (define @t49 () (@list @t30 @t28)) % 44.04/44.29 (define @t50 () (tptp.meet @t29 @t29)) % 44.04/44.29 (define @t51 () (tptp.join @t50 @t39)) % 44.04/44.29 (define @t52 () (tptp.join tptp.b @t27)) % 44.04/44.29 (define @t53 () (tptp.meet tptp.b @t52)) % 44.04/44.29 (define @t54 () (tptp.meet tptp.b tptp.b)) % 44.04/44.29 (define @t55 () (tptp.join @t54 @t53)) % 44.04/44.29 (define @t56 () (tptp.meet tptp.b @t27)) % 44.04/44.29 (define @t57 () (tptp.join tptp.a @t28)) % 44.04/44.29 (define @t58 () (tptp.meet tptp.a @t52)) % 44.04/44.29 (define @t59 () (tptp.join tptp.a @t57)) % 44.04/44.29 (define @t60 () (tptp.join @t28 tptp.a)) % 44.04/44.29 (define @t61 () (tptp.join @t29 tptp.b)) % 44.04/44.29 (define @t62 () (tptp.meet @t28 @t30)) % 44.04/44.29 (define @t63 () (tptp.meet @t28 @t29)) % 44.04/44.29 (define @t64 () (tptp.join @t63 @t62)) % 44.04/44.29 (define @t65 () (tptp.meet @t42 @t59)) % 44.04/44.29 (define @t66 () (tptp.meet tptp.a @t42)) % 44.04/44.29 (define @t67 () (tptp.join @t66 @t65)) % 44.04/44.29 (define @t68 () (tptp.meet tptp.a @t57)) % 44.04/44.29 (define @t69 () (tptp.join @t68 @t67)) % 44.04/44.29 (define @t70 () (tptp.meet tptp.b @t29)) % 44.04/44.29 (define @t71 () (tptp.meet @t70 @t28)) % 44.04/44.29 (define @t72 () (tptp.meet tptp.b @t41)) % 44.04/44.29 (define @t73 () (= @t71 @t72)) % 44.04/44.29 (define @t74 () (= @t72 @t71)) % 44.04/44.29 (define @t75 () (@list false)) % 44.04/44.29 (define @t76 () (@list @t15)) % 44.04/44.29 (define @t77 () (tptp.meet @t29 tptp.b)) % 44.04/44.29 (define @t78 () (tptp.meet @t77 @t28)) % 44.04/44.29 (define @t79 () (tptp.meet @t29 @t42)) % 44.04/44.29 (define @t80 () (= @t78 @t79)) % 44.04/44.29 (define @t81 () (= @t79 @t78)) % 44.04/44.29 (define @t82 () (tptp.join @t27 @t41)) % 44.04/44.29 (define @t83 () (@list @t69 tptp.b)) % 44.04/44.29 (define @t84 () (@list @t30 @t44)) % 44.04/44.29 (define @t85 () (tptp.meet @t28 tptp.b)) % 44.04/44.29 (define @t86 () (tptp.join tptp.b @t44)) % 44.04/44.29 (define @t87 () (tptp.meet @t28 @t86)) % 44.04/44.29 (define @t88 () (tptp.join tptp.b @t42)) % 44.04/44.29 (define @t89 () (tptp.meet @t44 @t88)) % 44.04/44.29 (define @t90 () (tptp.meet tptp.b @t44)) % 44.04/44.29 (define @t91 () (tptp.join @t90 @t89)) % 44.04/44.29 (define @t92 () (tptp.meet tptp.b @t42)) % 44.04/44.29 (define @t93 () (tptp.meet @t44 @t30)) % 44.04/44.29 (define @t94 () (@list @t93 @t28)) % 44.04/44.29 (define @t95 () (@list @t93 @t29)) % 44.04/44.29 (define @t96 () (tptp.join @t42 @t29)) % 44.04/44.29 (define @t97 () (tptp.join @t82 @t51)) % 44.04/44.29 (define @t98 () (tptp.meet @t82 @t27)) % 44.04/44.29 (define @t99 () (tptp.join @t98 (tptp.meet @t27 @t97))) % 44.04/44.29 (define @t100 () (tptp.meet @t51 @t82)) % 44.04/44.29 (define @t101 () (tptp.meet @t30 @t44)) % 44.04/44.29 (define @t102 () (tptp.join @t42 @t50)) % 44.04/44.29 (define @t103 () (tptp.join @t102 @t39)) % 44.04/44.29 (define @t104 () (tptp.join @t42 @t51)) % 44.04/44.29 (define @t105 () (= @t103 @t104)) % 44.04/44.29 (define @t106 () (@list @t42 @t50 @t39)) % 44.04/44.29 (define @t107 () (= @t104 @t103)) % 44.04/44.29 (define @t108 () (tptp.join @t30 @t42)) % 44.04/44.29 (define @t109 () (tptp.meet @t29 @t108)) % 44.04/44.29 (define @t110 () (tptp.meet @t30 @t29)) % 44.04/44.29 (define @t111 () (tptp.join @t110 @t109)) % 44.04/44.29 (define @t112 () (tptp.meet @t30 @t42)) % 44.04/44.29 (define @t113 () (tptp.join @t112 @t111)) % 44.04/44.29 (define @t114 () (tptp.join @t29 @t42)) % 44.04/44.29 (define @t115 () (tptp.join @t44 @t28)) % 44.04/44.29 (define @t116 () (tptp.meet @t29 @t115)) % 44.04/44.29 (define @t117 () (tptp.meet @t44 @t29)) % 44.04/44.29 (define @t118 () (tptp.join @t117 @t116)) % 44.04/44.29 (define @t119 () (tptp.meet @t44 @t28)) % 44.04/44.29 (define @t120 () (tptp.join @t119 @t118)) % 44.04/44.29 (define @t121 () (tptp.meet @t28 @t88)) % 44.04/44.29 (define @t122 () (tptp.join tptp.a @t96)) % 44.04/44.29 (define @t123 () (not (= @t122 tptp.one))) % 44.04/44.29 (define @t124 () (tptp.meet tptp.a @t96)) % 44.04/44.29 (define @t125 () (not (= @t124 tptp.zero))) % 44.04/44.29 (define @t126 () (or @t125 @t123 (= @t96 @t28))) % 44.04/44.29 (define @t127 () (forall @t8 (or @t23 @t22 (= @t5 @t17)))) % 44.04/44.29 (define @t128 () (= @t28 @t96)) % 44.04/44.29 (define @t129 () (= tptp.one @t122)) % 44.04/44.29 (define @t130 () (not @t129)) % 44.04/44.29 (define @t131 () (= tptp.zero @t124)) % 44.04/44.29 (define @t132 () (not @t131)) % 44.04/44.29 (define @t133 () (or @t132 @t130 @t128)) % 44.04/44.29 (define @t134 () (tptp.join @t56 @t54)) % 44.04/44.29 (define @t135 () (tptp.join @t56 @t55)) % 44.04/44.29 (define @t136 () (tptp.join @t135 @t29)) % 44.04/44.29 (define @t137 () (tptp.meet tptp.b @t59)) % 44.04/44.29 (define @t138 () (tptp.meet @t28 @t137)) % 44.04/44.29 (define @t139 () (tptp.join @t65 @t66)) % 44.04/44.29 (define @t140 () (tptp.join @t67 @t29)) % 44.04/44.29 (define @t141 () (tptp.join @t46 @t42)) % 44.04/44.29 (define @t142 () (tptp.join tptp.a @t141)) % 44.04/44.29 (define @t143 () (tptp.join tptp.a @t42)) % 44.04/44.29 (define @t144 () (tptp.meet @t54 @t28)) % 44.04/44.29 (define @t145 () (tptp.join @t27 @t58)) % 44.04/44.29 (define @t146 () (tptp.meet tptp.a @t88)) % 44.04/44.29 (define @t147 () (tptp.join @t27 @t146)) % 44.04/44.29 (define @t148 () (tptp.join @t92 @t147)) % 44.04/44.29 (define @t149 () (tptp.join @t27 @t29)) % 44.04/44.29 (define @t150 () (tptp.join @t42 @t149)) % 44.04/44.29 (define @t151 () (tptp.join @t29 @t56)) % 44.04/44.29 (define @t152 () (@list @t151 @t55)) % 44.04/44.29 (define @t153 () (tptp.meet @t151 @t55)) % 44.04/44.29 (define @t154 () (@list tptp.b @t149)) % 44.04/44.29 (define @t155 () (tptp.join @t27 @t28)) % 44.04/44.29 (define @t156 () (tptp.join tptp.b @t28)) % 44.04/44.29 (define @t157 () (tptp.meet @t151 @t156)) % 44.04/44.29 (define @t158 () (tptp.meet tptp.b @t151)) % 44.04/44.29 (define @t159 () (tptp.join @t158 @t157)) % 44.04/44.29 (define @t160 () (tptp.meet tptp.b @t149)) % 44.04/44.29 (define @t161 () (tptp.join @t42 @t27)) % 44.04/44.29 (define @t162 () (tptp.join tptp.b @t149)) % 44.04/44.29 (define @t163 () (tptp.meet tptp.a @t162)) % 44.04/44.29 (define @t164 () (tptp.join @t27 @t163)) % 44.04/44.29 (define @t165 () (tptp.join @t164 @t42)) % 44.04/44.29 (define @t166 () (tptp.meet @t149 @t164)) % 44.04/44.29 (define @t167 () (tptp.join @t160 @t42)) % 44.04/44.29 (define @t168 () (tptp.join @t42 @t158)) % 44.04/44.29 (define @t169 () (tptp.join @t92 @t160)) % 44.04/44.29 (define @t170 () (tptp.join @t54 (tptp.meet tptp.b @t162))) % 44.04/44.29 (define @t171 () (@list @t160 @t170)) % 44.04/44.29 (define @t172 () (tptp.join @t42 tptp.b)) % 44.04/44.29 (define @t173 () (tptp.meet @t160 @t170)) % 44.04/44.29 (define @t174 () (tptp.meet @t160 @t69)) % 44.04/44.29 (define @t175 () (tptp.join @t173 @t174)) % 44.04/44.29 (define @t176 () (tptp.join @t161 tptp.b)) % 44.04/44.29 (define @t177 () (tptp.join tptp.b tptp.a)) % 44.04/44.29 (define @t178 () (tptp.join @t56 @t92)) % 44.04/44.29 (define @t179 () (tptp.join @t178 @t91)) % 44.04/44.29 (define @t180 () (tptp.meet @t69 tptp.b)) % 44.04/44.29 (define @t181 () (tptp.meet @t69 (tptp.join @t160 @t170))) % 44.04/44.29 (define @t182 () (tptp.join @t174 @t181)) % 44.04/44.29 (define @t183 () (tptp.meet @t160 @t85)) % 44.04/44.29 (define @t184 () (tptp.join @t92 @t91)) % 44.04/44.29 (define @t185 () (tptp.meet @t160 @t184)) % 44.04/44.29 (define @t186 () (tptp.meet @t44 tptp.a)) % 44.04/44.29 (define @t187 () (tptp.join @t117 @t186)) % 44.04/44.29 (define @t188 () (tptp.join @t41 @t51)) % 44.04/44.29 (define @t189 () (tptp.join @t27 @t188)) % 44.04/44.29 (define @t190 () (tptp.meet @t44 (tptp.join @t51 @t82))) % 44.04/44.29 (define @t191 () (tptp.meet @t51 @t44)) % 44.04/44.29 (define @t192 () (tptp.join @t29 @t151)) % 44.04/44.29 (define @t193 () (tptp.meet @t92 @t160)) % 44.04/44.29 (define @t194 () (tptp.join @t193 @t185)) % 44.04/44.29 (define @t195 () (tptp.join @t193 @t158)) % 44.04/44.29 (define @t196 () (tptp.meet @t92 @t91)) % 44.04/44.29 (define @t197 () (tptp.join @t196 @t194)) % 44.04/44.29 (define @t198 () (tptp.meet @t28 @t60)) % 44.04/44.29 (define @t199 () (tptp.join @t42 @t87)) % 44.04/44.29 (define @t200 () (tptp.join @t85 @t28)) % 44.04/44.29 (define @t201 () (tptp.meet @t44 @t162)) % 44.04/44.29 (define @t202 () (tptp.join @t90 @t201)) % 44.04/44.29 (define @t203 () (tptp.join @t170 @t44)) % 44.04/44.29 (define @t204 () (tptp.meet @t28 @t40)) % 44.04/44.29 (define @t205 () (tptp.meet @t113 @t30)) % 44.04/44.29 (define @t206 () (tptp.join @t112 @t110)) % 44.04/44.29 (define @t207 () (tptp.meet @t30 @t206)) % 44.04/44.29 (define @t208 () (tptp.meet @t30 @t96)) % 44.04/44.29 (define @t209 () (tptp.meet @t27 @t30)) % 44.04/44.29 (define @t210 () (tptp.meet tptp.a @t30)) % 44.04/44.29 (define @t211 () (tptp.meet tptp.b @t210)) % 44.04/44.29 (define @t212 () (= @t209 @t211)) % 44.04/44.29 (define @t213 () (tptp.meet @t30 tptp.a)) % 44.04/44.29 (define @t214 () (tptp.meet @t30 @t30)) % 44.04/44.29 (define @t215 () (tptp.meet tptp.b @t30)) % 44.04/44.29 (define @t216 () (tptp.meet (tptp.meet @t215 @t30) tptp.a)) % 44.04/44.29 (define @t217 () (tptp.meet @t215 @t213)) % 44.04/44.29 (define @t218 () (= @t216 @t217)) % 44.04/44.29 (define @t219 () (tptp.meet @t210 @t215)) % 44.04/44.29 (define @t220 () (tptp.meet @t29 @t86)) % 44.04/44.29 (define @t221 () (tptp.meet @t29 @t156)) % 44.04/44.29 (define @t222 () (tptp.join @t70 @t221)) % 44.04/44.29 (define @t223 () (tptp.join @t42 @t222)) % 44.04/44.29 (define @t224 () (tptp.meet tptp.a tptp.b)) % 44.04/44.29 (define @t225 () (tptp.meet @t224 @t28)) % 44.04/44.29 (define @t226 () (tptp.meet @t42 tptp.a)) % 44.04/44.29 (define @t227 () (tptp.join @t42 @t226)) % 44.04/44.29 (define @t228 () (tptp.meet @t40 @t28)) % 44.04/44.29 (define @t229 () (= tptp.a @t27)) % 44.04/44.29 (define @t230 () (= @t29 @t39)) % 44.04/44.29 (define @t231 () (= tptp.b @t52)) % 44.04/44.29 (define @t232 () (= @t27 @t224)) % 44.04/44.29 (define @t233 () (= @t30 @t40)) % 44.04/44.29 (define @t234 () (= tptp.one @t44)) % 44.04/44.29 (define @t235 () (= tptp.one @t57)) % 44.04/44.29 (define @t236 () (= tptp.zero @t70)) % 44.04/44.29 (define @t237 () (= tptp.zero @t46)) % 44.04/44.29 (define @t238 () (= tptp.b @t54)) % 44.04/44.29 (define @t239 () (= tptp.a @t68)) % 44.04/44.29 (define @t240 () (= @t28 @t204)) % 44.04/44.29 (define @t241 () (= tptp.b @t90)) % 44.04/44.29 (define @t242 () (tptp.join tptp.a @t46)) % 44.04/44.29 (define @t243 () (= tptp.a @t242)) % 44.04/44.29 (define @t244 () (= tptp.a (tptp.join tptp.a @t224))) % 44.04/44.29 (define @t245 () (tptp.join @t29 @t41)) % 44.04/44.29 (define @t246 () (= @t29 @t245)) % 44.04/44.29 (define @t247 () (tptp.join @t29 @t39)) % 44.04/44.29 (define @t248 () (= @t29 @t247)) % 44.04/44.29 (define @t249 () (= tptp.b (tptp.join tptp.b @t54))) % 44.04/44.29 (define @t250 () (tptp.meet @t28 tptp.a)) % 44.04/44.29 (define @t251 () (= @t46 @t250)) % 44.04/44.29 (define @t252 () (= @t41 @t63)) % 44.04/44.29 (define @t253 () (= @t39 @t110)) % 44.04/44.29 (define @t254 () (= @t70 @t77)) % 44.04/44.29 (define @t255 () (= @t57 @t60)) % 44.04/44.29 (define @t256 () (= @t52 (tptp.join @t27 tptp.b))) % 44.04/44.29 (define @t257 () (= @t44 @t61)) % 44.04/44.29 (define @t258 () (= @t225 @t66)) % 44.04/44.29 (define @t259 () (= @t29 (tptp.meet @t29 @t247))) % 44.04/44.29 (define @t260 () (= @t30 @t214)) % 44.04/44.29 (define @t261 () (= @t204 @t228)) % 44.04/44.29 (define @t262 () (= @t245 (tptp.join @t41 @t29))) % 44.04/44.29 (define @t263 () (= @t66 @t226)) % 44.04/44.29 (define @t264 () (= @t90 (tptp.meet @t44 tptp.b))) % 44.04/44.29 (define @t265 () (= @t42 @t85)) % 44.04/44.29 (define @t266 () (tptp.meet tptp.a @t242)) % 44.04/44.29 (define @t267 () (= tptp.a @t266)) % 44.04/44.29 (define @t268 () (tptp.meet @t27 @t149)) % 44.04/44.29 (define @t269 () (= @t27 @t268)) % 44.04/44.29 (define @t270 () (= @t28 @t198)) % 44.04/44.29 (define @t271 () (tptp.meet @t29 @t61)) % 44.04/44.29 (define @t272 () (= @t29 @t271)) % 44.04/44.29 (define @t273 () (= @t28 (tptp.join @t28 @t63))) % 44.04/44.29 (define @t274 () (tptp.join @t29 @t77)) % 44.04/44.29 (define @t275 () (= @t29 @t274)) % 44.04/44.29 (define @t276 () (tptp.meet @t30 @t28)) % 44.04/44.29 (define @t277 () (= @t30 (tptp.join @t30 @t276))) % 44.04/44.29 (define @t278 () (= tptp.b @t88)) % 44.04/44.29 (define @t279 () (tptp.join @t188 @t28)) % 44.04/44.29 (define @t280 () (= @t279 (tptp.join @t41 (tptp.join @t51 @t28)))) % 44.04/44.29 (define @t281 () (tptp.join @t55 @t29)) % 44.04/44.29 (define @t282 () (= @t136 (tptp.join @t56 @t281))) % 44.04/44.29 (define @t283 () (= @t97 @t189)) % 44.04/44.29 (define @t284 () (tptp.meet tptp.a @t69)) % 44.04/44.29 (define @t285 () (tptp.join @t68 @t66)) % 44.04/44.29 (define @t286 () (tptp.meet tptp.a @t285)) % 44.04/44.29 (define @t287 () (= @t286 @t284)) % 44.04/44.29 (define @t288 () (tptp.meet @t30 @t40)) % 44.04/44.29 (define @t289 () (tptp.join @t62 @t288)) % 44.04/44.29 (define @t290 () (tptp.join @t63 @t289)) % 44.04/44.29 (define @t291 () (tptp.meet @t28 @t290)) % 44.04/44.29 (define @t292 () (tptp.meet @t28 @t64)) % 44.04/44.29 (define @t293 () (= @t292 @t291)) % 44.04/44.29 (define @t294 () (tptp.meet @t58 @t28)) % 44.04/44.29 (define @t295 () (tptp.meet @t27 @t294)) % 44.04/44.29 (define @t296 () (= (tptp.meet (tptp.meet @t27 @t58) @t28) @t295)) % 44.04/44.29 (define @t297 () (tptp.meet @t224 @t29)) % 44.04/44.29 (define @t298 () (= @t297 (tptp.meet tptp.a @t70))) % 44.04/44.29 (define @t299 () (tptp.meet @t42 @t30)) % 44.04/44.29 (define @t300 () (= @t299 (tptp.meet tptp.b @t62))) % 44.04/44.29 (define @t301 () (= (tptp.meet @t85 @t59) @t138)) % 44.04/44.29 (define @t302 () (tptp.join @t41 @t28)) % 44.04/44.29 (define @t303 () (tptp.join @t28 @t41)) % 44.04/44.29 (define @t304 () (= @t303 @t302)) % 44.04/44.29 (define @t305 () (tptp.join @t30 @t28)) % 44.04/44.29 (define @t306 () (= @t305 (tptp.join @t28 @t30))) % 44.04/44.29 (define @t307 () (= @t198 (tptp.meet @t60 @t28))) % 44.04/44.29 (define @t308 () (tptp.meet @t61 @t29)) % 44.04/44.29 (define @t309 () (= @t271 @t308)) % 44.04/44.29 (define @t310 () (= @t281 (tptp.join @t54 (tptp.join @t53 @t29)))) % 44.04/44.29 (define @t311 () (= (tptp.join @t242 @t42) @t142)) % 44.04/44.29 (define @t312 () (tptp.join @t41 @t62)) % 44.04/44.29 (define @t313 () (= @t41 (tptp.meet @t41 @t312))) % 44.04/44.29 (define @t314 () (= @t144 @t92)) % 44.04/44.29 (define @t315 () (tptp.meet tptp.a @t292)) % 44.04/44.29 (define @t316 () (= (tptp.meet @t46 @t64) @t315)) % 44.04/44.29 (define @t317 () (tptp.meet @t28 @t284)) % 44.04/44.29 (define @t318 () (= (tptp.meet @t250 @t69) @t317)) % 44.04/44.29 (define @t319 () (tptp.meet @t44 @t276)) % 44.04/44.29 (define @t320 () (tptp.meet @t93 @t28)) % 44.04/44.29 (define @t321 () (= @t320 @t319)) % 44.04/44.29 (define @t322 () (tptp.meet @t44 @t110)) % 44.04/44.29 (define @t323 () (tptp.meet @t93 @t29)) % 44.04/44.29 (define @t324 () (= @t323 @t322)) % 44.04/44.29 (define @t325 () (tptp.meet @t29 @t56)) % 44.04/44.29 (define @t326 () (= (tptp.meet @t56 @t29) @t325)) % 44.04/44.29 (define @t327 () (tptp.meet @t41 tptp.b)) % 44.04/44.29 (define @t328 () (= @t327 @t72)) % 44.04/44.29 (define @t329 () (= @t299 @t112)) % 44.04/44.29 (define @t330 () (tptp.meet @t27 @t82)) % 44.04/44.29 (define @t331 () (= @t27 @t330)) % 44.04/44.29 (define @t332 () (tptp.join tptp.b @t96)) % 44.04/44.29 (define @t333 () (= (tptp.join @t88 @t29) @t332)) % 44.04/44.29 (define @t334 () (= @t44 (tptp.join @t44 @t119))) % 44.04/44.29 (define @t335 () (= @t44 (tptp.join @t44 @t117))) % 44.04/44.29 (define @t336 () (tptp.join @t28 @t85)) % 44.04/44.29 (define @t337 () (= @t28 @t336)) % 44.04/44.29 (define @t338 () (= @t42 (tptp.join @t42 @t65))) % 44.04/44.29 (define @t339 () (= @t42 @t227)) % 44.04/44.29 (define @t340 () (= @t67 @t139)) % 44.04/44.29 (define @t341 () (= @t143 (tptp.join @t42 tptp.a))) % 44.04/44.29 (define @t342 () (= @t88 @t172)) % 44.04/44.29 (define @t343 () (= @t330 @t98)) % 44.04/44.29 (define @t344 () (tptp.meet tptp.b @t69)) % 44.04/44.29 (define @t345 () (= @t180 @t344)) % 44.04/44.29 (define @t346 () (= @t101 @t93)) % 44.04/44.29 (define @t347 () (tptp.join @t145 @t67)) % 44.04/44.29 (define @t348 () (= @t347 (tptp.join @t27 (tptp.join @t58 @t67)))) % 44.04/44.29 (define @t349 () (= @t336 @t200)) % 44.04/44.29 (define @t350 () (tptp.join @t114 @t87)) % 44.04/44.29 (define @t351 () (= @t350 (tptp.join @t29 @t199))) % 44.04/44.29 (define @t352 () (tptp.join @t56 @t184)) % 44.04/44.29 (define @t353 () (= @t179 @t352)) % 44.04/44.29 (define @t354 () (tptp.join @t96 @t77)) % 44.04/44.29 (define @t355 () (= @t354 (tptp.join @t42 @t274))) % 44.04/44.29 (define @t356 () (= @t30 (tptp.join @t30 @t101))) % 44.04/44.29 (define @t357 () (= @t30 (tptp.join @t30 @t112))) % 44.04/44.29 (define @t358 () (tptp.join @t93 @t320)) % 44.04/44.29 (define @t359 () (= @t93 @t358)) % 44.04/44.29 (define @t360 () (tptp.join @t93 @t323)) % 44.04/44.29 (define @t361 () (= @t93 @t360)) % 44.04/44.29 (define @t362 () (tptp.join @t96 tptp.b)) % 44.04/44.29 (define @t363 () (= @t332 @t362)) % 44.04/44.29 (define @t364 () (= @t96 @t114)) % 44.04/44.29 (define @t365 () (tptp.meet @t100 @t99)) % 44.04/44.29 (define @t366 () (= @t365 (tptp.meet @t51 (tptp.meet @t82 @t99)))) % 44.04/44.29 (define @t367 () (tptp.join @t245 @t42)) % 44.04/44.29 (define @t368 () (= @t367 (tptp.join @t29 (tptp.join @t41 @t42)))) % 44.04/44.29 (define @t369 () (= @t100 (tptp.join @t100 @t365))) % 44.04/44.29 (define @t370 () (tptp.join @t28 @t93)) % 44.04/44.29 (define @t371 () (= (tptp.join @t93 @t28) @t370)) % 44.04/44.29 (define @t372 () (tptp.join @t29 @t93)) % 44.04/44.29 (define @t373 () (= (tptp.join @t93 @t29) @t372)) % 44.04/44.29 (define @t374 () (tptp.join @t69 tptp.b)) % 44.04/44.29 (define @t375 () (tptp.meet @t69 @t374)) % 44.04/44.29 (define @t376 () (= @t69 @t375)) % 44.04/44.29 (define @t377 () (tptp.meet @t77 @t69)) % 44.04/44.29 (define @t378 () (= @t377 (tptp.meet @t29 @t344))) % 44.04/44.29 (define @t379 () (tptp.join @t40 @t101)) % 44.04/44.29 (define @t380 () (= @t379 (tptp.join @t28 (tptp.join @t29 @t101)))) % 44.04/44.29 (define @t381 () (= (tptp.meet @t30 @t113) @t205)) % 44.04/44.29 (define @t382 () (= @t51 (tptp.join @t51 @t100))) % 44.04/44.29 (define @t383 () (= @t96 (tptp.meet @t96 @t354))) % 44.04/44.29 (define @t384 () (= @t114 (tptp.meet @t114 @t350))) % 44.04/44.29 (define @t385 () (= @t96 (tptp.meet @t96 @t362))) % 44.04/44.29 (define @t386 () (tptp.meet @t44 @t120)) % 44.04/44.29 (define @t387 () (tptp.meet @t386 @t113)) % 44.04/44.29 (define @t388 () (= @t387 (tptp.meet @t44 (tptp.meet @t120 @t113)))) % 44.04/44.29 (define @t389 () (= @t103 (tptp.join @t39 @t102))) % 44.04/44.29 (define @t390 () (tptp.join @t42 @t121)) % 44.04/44.29 (define @t391 () (tptp.join @t390 @t29)) % 44.04/44.29 (define @t392 () (= @t391 (tptp.join @t42 (tptp.join @t121 @t29)))) % 44.04/44.29 (define @t393 () (tptp.join @t29 @t100)) % 44.04/44.29 (define @t394 () (tptp.join @t42 @t393)) % 44.04/44.29 (define @t395 () (= (tptp.join @t96 @t100) @t394)) % 44.04/44.29 (define @t396 () (tptp.join @t42 @t114)) % 44.04/44.29 (define @t397 () (tptp.join @t39 @t396)) % 44.04/44.29 (define @t398 () (= (tptp.join (tptp.join @t39 @t42) @t114) @t397)) % 44.04/44.29 (define @t399 () (tptp.meet tptp.b @t302)) % 44.04/44.29 (define @t400 () (tptp.join @t327 @t399)) % 44.04/44.29 (define @t401 () (tptp.meet @t41 @t28)) % 44.04/44.29 (define @t402 () (tptp.join @t79 @t299)) % 44.04/44.29 (define @t403 () (tptp.join @t41 @t402)) % 44.04/44.29 (define @t404 () (tptp.join @t29 @t403)) % 44.04/44.29 (define @t405 () (tptp.meet @t30 @t404)) % 44.04/44.29 (define @t406 () (tptp.join @t39 @t405)) % 44.04/44.29 (define @t407 () (tptp.meet @t51 @t27)) % 44.04/44.29 (define @t408 () (tptp.join tptp.a @t69)) % 44.04/44.29 (define @t409 () (tptp.meet @t51 @t69)) % 44.04/44.29 (define @t410 () (tptp.join @t100 @t409)) % 44.04/44.29 (define @t411 () (tptp.join @t104 @t100)) % 44.04/44.29 (define @t412 () (tptp.meet @t96 @t411)) % 44.04/44.29 (define @t413 () (tptp.meet @t104 @t96)) % 44.04/44.29 (define @t414 () (tptp.join @t44 @t29)) % 44.04/44.29 (define @t415 () (tptp.meet @t113 @t414)) % 44.04/44.29 (define @t416 () (tptp.meet @t29 @t44)) % 44.04/44.29 (define @t417 () (tptp.meet @t40 @t60)) % 44.04/44.29 (define @t418 () (tptp.join @t119 @t117)) % 44.04/44.29 (define @t419 () (tptp.meet @t44 @t113)) % 44.04/44.29 (define @t420 () (tptp.join @t419 @t415)) % 44.04/44.29 (define @t421 () (= @t28 @t30)) % 44.04/44.29 (define @t422 () (and @t229 @t230 @t231 @t232 @t233 @t234 @t235 @t236 @t237 @t238 @t239 @t240 @t241 @t243 @t244 @t246 @t248 @t249 @t251 @t252 @t253 @t254 @t255 @t256 @t257 @t258 @t259 @t260 @t261 @t262 @t263 @t264 @t265 @t267 @t269 @t270 @t272 @t273 @t275 @t277 @t278 @t280 @t282 @t283 @t287 @t293 @t296 @t298 @t300 @t301 @t304 @t306 @t307 @t309 @t310 @t311 @t313 @t314 @t316 @t318 @t321 @t324 @t326 @t328 @t329 @t331 @t333 @t334 @t335 @t337 @t338 @t339 @t340 @t341 @t342 @t74 @t81 @t343 @t345 @t346 @t348 @t349 @t351 @t353 @t355 @t356 @t357 @t359 @t361 @t363 @t364 @t366 @t368 @t369 @t371 @t373 @t376 @t378 @t380 @t107 @t381 @t382 @t383 @t384 @t385 @t388 @t389 @t392 @t395 @t398 @t128)) % 44.04/44.29 (assume @p1 @t4) % 44.04/44.29 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 44.04/44.29 (assume @p3 @t9) % 44.04/44.29 (assume @p4 @t12) % 44.04/44.29 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 44.04/44.29 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 44.04/44.29 (assume @p7 @t15) % 44.04/44.29 (assume @p8 @t16) % 44.04/44.29 (assume @p9 @t19) % 44.04/44.29 (assume @p10 @t21) % 44.04/44.29 (assume @p11 @t25) % 44.04/44.29 (assume @p12 (forall @t14 (= (tptp.meet @t1 (tptp.join @t10 @t26)) (tptp.meet @t1 (tptp.join @t10 (tptp.join @t26 (tptp.meet @t13 @t6))))))) % 44.04/44.29 (assume @p13 (= @t27 tptp.a)) % 44.04/44.29 (assume @p14 (not (= @t30 @t28))) % 44.04/44.29 (step @p15 :rule symm :premises (@p13)) % 44.04/44.29 (step @p16 :rule symm :premises (@p14)) % 44.04/44.29 (step @p17 :rule eq-symm :args (@t7 @t1)) % 44.04/44.29 (step @p18 :rule cong :premises (@p17) :args (@t9)) % 44.04/44.29 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 44.04/44.29 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 44.04/44.29 (step @p21 :rule eq-symm :args (@t11 @t1)) % 44.04/44.29 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 44.04/44.29 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 44.04/44.29 (step @p24 :rule instantiate :premises (@p23) :args (@t32)) % 44.04/44.29 (step @p25 :rule instantiate :premises (@p5) :args (@t32)) % 44.04/44.29 (step @p26 :rule instantiate :premises (@p6) :args (@t31)) % 44.04/44.29 (step @p27 :rule eq-symm :args (@t18 tptp.one)) % 44.04/44.29 (step @p28 :rule cong :premises (@p27) :args (@t19)) % 44.04/44.29 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 44.04/44.29 (step @p30 :rule instantiate :premises (@p29) :args (@t33)) % 44.04/44.29 (step @p31 :rule instantiate :premises (@p29) :args (@t34)) % 44.04/44.29 (step @p32 :rule eq-symm :args (@t20 tptp.zero)) % 44.04/44.29 (step @p33 :rule cong :premises (@p32) :args (@t21)) % 44.04/44.29 (step @p34 :rule eq_resolve :premises (@p10 @p33)) % 44.04/44.29 (step @p35 :rule instantiate :premises (@p34) :args (@t33)) % 44.04/44.29 (step @p36 :rule instantiate :premises (@p34) :args (@t34)) % 44.04/44.29 (step @p37 :rule eq-symm :args (@t2 @t1)) % 44.04/44.29 (step @p38 :rule cong :premises (@p37) :args (@t4)) % 44.04/44.29 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 44.04/44.29 (step @p40 :rule instantiate :premises (@p39) :args (@t33)) % 44.04/44.29 (step @p41 :rule instantiate :premises (@p19) :args (@t35)) % 44.04/44.29 (step @p42 :rule instantiate :premises (@p19) :args (@t36)) % 44.04/44.29 (step @p43 :rule instantiate :premises (@p19) :args (@t37)) % 44.04/44.29 (step @p44 :rule instantiate :premises (@p23) :args (@t35)) % 44.04/44.29 (step @p45 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.b))) % 44.04/44.29 (step @p46 :rule instantiate :premises (@p23) :args (@t31)) % 44.04/44.29 (step @p47 :rule instantiate :premises (@p23) :args (@t38)) % 44.04/44.29 (step @p48 :rule instantiate :premises (@p23) :args ((@list tptp.b tptp.b))) % 44.04/44.29 (step @p49 :rule instantiate :premises (@p5) :args (@t35)) % 44.04/44.29 (step @p50 :rule instantiate :premises (@p5) :args (@t31)) % 44.04/44.29 (step @p51 :rule instantiate :premises (@p5) :args (@t38)) % 44.04/44.29 (step @p52 :rule instantiate :premises (@p5) :args (@t37)) % 44.04/44.29 (step @p53 :rule instantiate :premises (@p6) :args (@t35)) % 44.04/44.29 (step @p54 :rule instantiate :premises (@p6) :args ((@list tptp.b @t27))) % 44.04/44.29 (step @p55 :rule instantiate :premises (@p6) :args (@t37)) % 44.04/44.29 (step @p56 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t28))) % 44.04/44.29 (step @p57 :rule instantiate :premises (@p19) :args ((@list @t29 @t39))) % 44.04/44.29 (step @p58 :rule instantiate :premises (@p39) :args ((@list @t30))) % 44.04/44.29 (step @p59 :rule instantiate :premises (@p5) :args ((@list @t28 @t40))) % 44.04/44.29 (step @p60 :rule instantiate :premises (@p6) :args ((@list @t29 @t41))) % 44.04/44.29 (step @p61 :rule instantiate :premises (@p5) :args (@t43)) % 44.04/44.29 (step @p62 :rule instantiate :premises (@p5) :args ((@list tptp.b @t44))) % 44.04/44.29 (step @p63 :rule instantiate :premises (@p5) :args (@t45)) % 44.04/44.29 (step @p64 :rule instantiate :premises (@p19) :args ((@list tptp.a @t46))) % 44.04/44.29 (step @p65 :rule instantiate :premises (@p19) :args (@t47)) % 44.04/44.29 (step @p66 :rule instantiate :premises (@p19) :args ((@list @t28 tptp.a))) % 44.04/44.29 (step @p67 :rule instantiate :premises (@p19) :args (@t48)) % 44.04/44.29 (step @p68 :rule instantiate :premises (@p23) :args (@t36)) % 44.04/44.29 (step @p69 :rule instantiate :premises (@p23) :args (@t48)) % 44.04/44.29 (step @p70 :rule instantiate :premises (@p23) :args (@t49)) % 44.04/44.29 (step @p71 :rule instantiate :premises (@p23) :args (@t45)) % 44.04/44.29 (step @p72 :rule instantiate :premises (@p8) :args ((@list @t41 @t51 @t28))) % 44.04/44.29 (step @p73 :rule instantiate :premises (@p8) :args ((@list @t56 @t55 @t29))) % 44.04/44.29 (step @p74 :rule instantiate :premises (@p8) :args ((@list @t27 @t41 @t51))) % 44.04/44.29 (step @p75 :rule instantiate :premises (@p12) :args ((@list tptp.a @t57 @t42))) % 44.04/44.29 (step @p76 :rule instantiate :premises (@p12) :args ((@list @t28 @t29 @t30))) % 44.04/44.29 (step @p77 :rule instantiate :premises (@p7) :args ((@list @t27 @t58 @t28))) % 44.04/44.29 (step 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@t251) (not @t252) (not @t253) (not @t254) (not @t255) (not @t256) (not @t257) (not @t258) (not @t259) (not @t260) (not @t261) (not @t262) (not @t263) (not @t264) (not @t265) (not @t267) (not @t269) (not @t270) (not @t272) (not @t273) (not @t275) (not @t277) (not @t278) (not @t280) (not @t282) (not @t283) (not @t287) (not @t293) (not @t296) (not @t298) (not @t300) (not @t301) (not @t304) (not @t306) (not @t307) (not @t309) (not @t310) (not @t311) (not @t313) (not @t314) (not @t316) (not @t318) (not @t321) (not @t324) (not @t326) (not @t328) (not @t329) (not @t331) (not @t333) (not @t334) (not @t335) (not @t337) (not @t338) (not @t339) (not @t340) (not @t341) (not @t342) (not @t74) (not @t81) (not @t343) (not @t345) (not @t346) (not @t348) (not @t349) (not @t351) (not @t353) (not @t355) (not @t356) (not @t357) (not @t359) (not @t361) (not @t363) (not @t364) (not @t366) (not @t368) (not @t369) (not @t371) (not @t373) (not @t376) (not @t378) (not @t380) (not @t107) (not @t381) (not @t382) (not @t383) (not @t384) (not @t385) (not @t388) (not @t389) (not @t392) (not @t395) (not @t398) (not @t128)))) % 44.04/44.29 (step @p1223 false :rule chain_m_resolution :premises (@p1222 @p725 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p115 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p31 @p30 @p26 @p25 @p24 @p20 @p16 @p15) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t128 @t398 @t395 @t392 @t389 @t388 @t385 @t384 @t383 @t382 @t381 @t107 @t380 @t378 @t376 @t373 @t371 @t369 @t368 @t366 @t364 @t363 @t361 @t359 @t357 @t356 @t355 @t353 @t351 @t349 @t348 @t346 @t345 @t343 @t81 @t74 @t342 @t341 @t340 @t339 @t338 @t337 @t335 @t334 @t333 @t331 @t329 @t328 @t326 @t324 @t321 @t318 @t316 @t314 @t313 @t311 @t310 @t309 @t307 @t306 @t304 @t301 @t300 @t298 @t296 @t293 @t287 @t283 @t282 @t280 @t278 @t277 @t275 @t273 @t272 @t270 @t269 @t267 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t249 @t248 @t246 @t244 @t243 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t231 @t230 @t421 @t229))) % 44.04/44.29 ) % 34.03/44.30 % SZS output end Proof % 34.03/44.30 % cvc5 exiting %------------------------------------------------------------------------------