%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU998^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:53:38 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU998^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:06:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.44/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort tptp.a 0) % 0.44/0.65 (define @t1 () (@var "Xz" tptp.a)) % 0.44/0.65 (define @t2 () (@var "Xx" tptp.a)) % 0.44/0.65 (define @t3 () (@var "MEET" (-> tptp.a tptp.a tptp.a))) % 0.44/0.65 (define @t4 () (_ @t3 @t2)) % 0.44/0.65 (define @t5 () (_ @t4 @t1)) % 0.44/0.65 (define @t6 () (@var "Xy" tptp.a)) % 0.44/0.65 (define @t7 () (_ @t4 @t6)) % 0.44/0.65 (define @t8 () (@var "JOIN" (-> tptp.a tptp.a tptp.a))) % 0.44/0.65 (define @t9 () (_ @t8 @t7)) % 0.44/0.65 (define @t10 () (_ @t9 @t5)) % 0.44/0.65 (define @t11 () (_ @t8 @t6)) % 0.44/0.65 (define @t12 () (_ @t11 @t1)) % 0.44/0.65 (define @t13 () (_ @t4 @t12)) % 0.44/0.65 (define @t14 () (= @t13 @t10)) % 0.44/0.65 (define @t15 () (@list @t2 @t6 @t1)) % 0.44/0.65 (define @t16 () (forall @t15 @t14)) % 0.44/0.65 (define @t17 () (not @t16)) % 0.44/0.65 (define @t18 () (@var "Xc" tptp.a)) % 0.44/0.65 (define @t19 () (_ (_ @t8 @t18) @t6)) % 0.44/0.65 (define @t20 () (_ (_ @t3 @t18) @t6)) % 0.44/0.65 (define @t21 () (@var "Xb" tptp.a)) % 0.44/0.65 (define @t22 () (_ @t8 @t21)) % 0.44/0.65 (define @t23 () (_ @t22 @t6)) % 0.44/0.65 (define @t24 () (_ @t3 @t21)) % 0.44/0.65 (define @t25 () (_ @t24 @t6)) % 0.44/0.65 (define @t26 () (_ @t22 @t18)) % 0.44/0.65 (define @t27 () (_ @t24 @t18)) % 0.44/0.65 (define @t28 () (@var "Xa" tptp.a)) % 0.44/0.65 (define @t29 () (_ @t8 @t28)) % 0.44/0.65 (define @t30 () (_ @t29 @t6)) % 0.44/0.65 (define @t31 () (_ @t3 @t28)) % 0.44/0.65 (define @t32 () (_ @t31 @t6)) % 0.44/0.65 (define @t33 () (_ @t29 @t18)) % 0.44/0.65 (define @t34 () (_ @t31 @t18)) % 0.44/0.65 (define @t35 () (_ @t29 @t21)) % 0.44/0.65 (define @t36 () (_ @t31 @t21)) % 0.44/0.65 (define @t37 () (_ @t8 @t2)) % 0.44/0.65 (define @t38 () (_ @t37 @t18)) % 0.44/0.65 (define @t39 () (_ @t4 @t18)) % 0.44/0.65 (define @t40 () (_ @t37 @t21)) % 0.44/0.65 (define @t41 () (_ @t4 @t21)) % 0.44/0.65 (define @t42 () (_ @t37 @t28)) % 0.44/0.65 (define @t43 () (_ @t4 @t28)) % 0.44/0.65 (define @t44 () (_ @t37 @t6)) % 0.44/0.65 (define @t45 () (= @t2 @t6)) % 0.44/0.65 (define @t46 () (not @t45)) % 0.44/0.65 (define @t47 () (not (= @t18 @t6))) % 0.44/0.65 (define @t48 () (not (= @t18 @t2))) % 0.44/0.65 (define @t49 () (not (= @t21 @t6))) % 0.44/0.65 (define @t50 () (not (= @t21 @t2))) % 0.44/0.65 (define @t51 () (= @t21 @t18)) % 0.44/0.65 (define @t52 () (not @t51)) % 0.44/0.65 (define @t53 () (not (= @t28 @t6))) % 0.44/0.65 (define @t54 () (not (= @t28 @t2))) % 0.44/0.65 (define @t55 () (= @t28 @t18)) % 0.44/0.65 (define @t56 () (not @t55)) % 0.44/0.65 (define @t57 () (= @t28 @t21)) % 0.44/0.65 (define @t58 () (not @t57)) % 0.44/0.65 (define @t59 () (and @t58 @t56 @t54 @t53 @t52 @t50 @t49 @t48 @t47 @t46 (= @t7 @t6) (= @t44 @t2) (= @t43 @t28) (= @t42 @t2) (= @t41 @t21) (= @t40 @t2) (= @t39 @t18) (= @t38 @t2) (= @t36 @t6) (= @t35 @t2) (= @t34 @t6) (= @t33 @t2) (= @t32 @t6) (= @t30 @t28) (= @t27 @t6) (= @t26 @t2) (= @t25 @t6) (= @t23 @t21) (= @t20 @t6) (= @t19 @t18))) % 0.44/0.65 (define @t60 () (@list @t2 @t6 @t28 @t21 @t18)) % 0.44/0.65 (define @t61 () (exists @t60 @t59)) % 0.44/0.65 (define @t62 () (=> @t61 @t17)) % 0.44/0.65 (define @t63 () (_ (_ @t3 @t44) @t6)) % 0.44/0.65 (define @t64 () (@list @t2 @t6)) % 0.44/0.65 (define @t65 () (forall @t64 (= @t63 @t6))) % 0.44/0.65 (define @t66 () (_ @t9 @t6)) % 0.44/0.65 (define @t67 () (forall @t64 (= @t66 @t6))) % 0.44/0.65 (define @t68 () (_ @t3 @t6)) % 0.44/0.65 (define @t69 () (_ @t68 @t2)) % 0.44/0.65 (define @t70 () (= @t7 @t69)) % 0.44/0.65 (define @t71 () (forall @t64 @t70)) % 0.44/0.65 (define @t72 () (_ @t11 @t2)) % 0.44/0.65 (define @t73 () (= @t44 @t72)) % 0.44/0.65 (define @t74 () (forall @t64 @t73)) % 0.44/0.65 (define @t75 () (_ @t68 @t1)) % 0.44/0.65 (define @t76 () (_ @t4 @t75)) % 0.44/0.65 (define @t77 () (_ (_ @t3 @t7) @t1)) % 0.44/0.65 (define @t78 () (= @t77 @t76)) % 0.44/0.65 (define @t79 () (forall @t15 @t78)) % 0.44/0.65 (define @t80 () (_ @t37 @t12)) % 0.44/0.65 (define @t81 () (_ (_ @t8 @t44) @t1)) % 0.44/0.65 (define @t82 () (= @t81 @t80)) % 0.44/0.65 (define @t83 () (forall @t15 @t82)) % 0.44/0.65 (define @t84 () (_ @t4 @t2)) % 0.44/0.65 (define @t85 () (@list @t2)) % 0.44/0.65 (define @t86 () (forall @t85 (= @t84 @t2))) % 0.44/0.65 (define @t87 () (_ @t37 @t2)) % 0.44/0.65 (define @t88 () (forall @t85 (= @t87 @t2))) % 0.44/0.65 (define @t89 () (and @t88 @t86 @t83 @t79 @t74 @t71 @t67 @t65)) % 0.44/0.65 (define @t90 () (=> @t89 @t62)) % 0.44/0.65 (define @t91 () (@list @t8 @t3)) % 0.44/0.65 (define @t92 () (forall @t91 @t90)) % 0.44/0.65 (define @t93 () (not @t92)) % 0.44/0.65 (define @t94 () (@var "BOUND_VARIABLE_7819" tptp.a)) % 0.44/0.65 (define @t95 () (@var "BOUND_VARIABLE_7817" tptp.a)) % 0.44/0.65 (define @t96 () (_ @t3 @t95 @t94)) % 0.44/0.65 (define @t97 () (@var "BOUND_VARIABLE_7821" tptp.a)) % 0.44/0.65 (define @t98 () (not (= @t97 (_ @t8 @t97 @t96)))) % 0.44/0.65 (define @t99 () (not (= @t96 (_ @t3 @t97 @t96)))) % 0.44/0.65 (define @t100 () (not (= @t94 (_ @t8 @t94 @t96)))) % 0.44/0.65 (define @t101 () (not (= @t96 (_ @t3 @t94 @t96)))) % 0.44/0.65 (define @t102 () (_ @t8 @t95 @t94)) % 0.44/0.65 (define @t103 () (not (= @t102 (_ @t8 @t94 @t97)))) % 0.44/0.65 (define @t104 () (not (= @t96 (_ @t3 @t94 @t97)))) % 0.44/0.65 (define @t105 () (not (= @t95 (_ @t8 @t95 @t96)))) % 0.44/0.65 (define @t106 () (not (= @t96 (_ @t3 @t95 @t96)))) % 0.44/0.65 (define @t107 () (not (= @t102 (_ @t8 @t95 @t97)))) % 0.44/0.65 (define @t108 () (not (= @t96 (_ @t3 @t95 @t97)))) % 0.44/0.65 (define @t109 () (not (= @t102 (_ @t8 @t102 @t97)))) % 0.44/0.65 (define @t110 () (not (= @t97 (_ @t3 @t102 @t97)))) % 0.44/0.65 (define @t111 () (not (= @t102 (_ @t8 @t102 @t94)))) % 0.44/0.65 (define @t112 () (not (= @t94 (_ @t3 @t102 @t94)))) % 0.44/0.65 (define @t113 () (not (= @t102 (_ @t8 @t102 @t95)))) % 0.44/0.65 (define @t114 () (not (= @t95 (_ @t3 @t102 @t95)))) % 0.44/0.65 (define @t115 () (not (= @t102 (_ @t8 @t102 @t96)))) % 0.44/0.65 (define @t116 () (not (= @t96 (_ @t3 @t102 @t96)))) % 0.44/0.65 (define @t117 () (= @t97 @t96)) % 0.44/0.65 (define @t118 () (= @t97 @t102)) % 0.44/0.65 (define @t119 () (= @t94 @t96)) % 0.44/0.65 (define @t120 () (= @t94 @t102)) % 0.44/0.65 (define @t121 () (= @t94 @t97)) % 0.44/0.65 (define @t122 () (= @t95 @t96)) % 0.44/0.65 (define @t123 () (= @t95 @t102)) % 0.44/0.65 (define @t124 () (= @t95 @t97)) % 0.44/0.65 (define @t125 () (= @t95 @t94)) % 0.44/0.65 (define @t126 () (_ @t3 @t2 @t1)) % 0.44/0.65 (define @t127 () (_ @t3 @t2 @t6)) % 0.44/0.65 (define @t128 () (_ @t8 @t127 @t126)) % 0.44/0.65 (define @t129 () (_ @t8 @t6 @t1)) % 0.44/0.65 (define @t130 () (_ @t3 @t2 @t129)) % 0.44/0.65 (define @t131 () (not (forall @t15 (= @t130 @t128)))) % 0.44/0.65 (define @t132 () (_ @t8 @t2 @t6)) % 0.44/0.65 (define @t133 () (_ @t3 @t132 @t6)) % 0.44/0.65 (define @t134 () (forall @t64 (= @t6 @t133))) % 0.44/0.65 (define @t135 () (not @t134)) % 0.44/0.65 (define @t136 () (_ @t8 @t127 @t6)) % 0.44/0.65 (define @t137 () (forall @t64 (= @t6 @t136))) % 0.44/0.65 (define @t138 () (not @t137)) % 0.44/0.65 (define @t139 () (_ @t3 @t6 @t2)) % 0.44/0.65 (define @t140 () (forall @t64 (= @t127 @t139))) % 0.44/0.65 (define @t141 () (not @t140)) % 0.44/0.65 (define @t142 () (_ @t8 @t6 @t2)) % 0.44/0.65 (define @t143 () (forall @t64 (= @t132 @t142))) % 0.44/0.65 (define @t144 () (not @t143)) % 0.44/0.65 (define @t145 () (_ @t3 @t6 @t1)) % 0.44/0.65 (define @t146 () (_ @t3 @t2 @t145)) % 0.44/0.65 (define @t147 () (_ @t3 @t127 @t1)) % 0.44/0.65 (define @t148 () (forall @t15 (= @t147 @t146))) % 0.44/0.65 (define @t149 () (not @t148)) % 0.44/0.65 (define @t150 () (_ @t8 @t2 @t129)) % 0.44/0.65 (define @t151 () (_ @t8 @t132 @t1)) % 0.44/0.65 (define @t152 () (forall @t15 (= @t151 @t150))) % 0.44/0.65 (define @t153 () (not @t152)) % 0.44/0.65 (define @t154 () (_ @t3 @t2 @t2)) % 0.44/0.65 (define @t155 () (forall @t85 (= @t2 @t154))) % 0.44/0.65 (define @t156 () (not @t155)) % 0.44/0.65 (define @t157 () (_ @t8 @t2 @t2)) % 0.44/0.65 (define @t158 () (forall @t85 (= @t2 @t157))) % 0.44/0.65 (define @t159 () (not @t158)) % 0.44/0.65 (define @t160 () (= @t96 @t102)) % 0.44/0.65 (define @t161 () (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135 @t131 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t160 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t101 @t100 @t99 @t98)) % 0.44/0.65 (define @t162 () (or @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t160 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t101 @t100 @t99 @t98)) % 0.44/0.65 (define @t163 () (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135 @t162 @t131)) % 0.44/0.65 (define @t164 () (@list @t8 @t3 @t95 @t94 @t97)) % 0.44/0.65 (define @t165 () (forall @t164 @t163)) % 0.44/0.65 (define @t166 () (@list @t95 @t94 @t97)) % 0.44/0.65 (define @t167 () (forall @t166 @t163)) % 0.44/0.65 (define @t168 () (forall @t166 @t162)) % 0.44/0.65 (define @t169 () (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135 @t168 @t131)) % 0.44/0.65 (define @t170 () (_ @t3 @t28 @t21)) % 0.44/0.65 (define @t171 () (not (= @t18 (_ @t8 @t18 @t170)))) % 0.44/0.65 (define @t172 () (not (= @t170 (_ @t3 @t18 @t170)))) % 0.44/0.65 (define @t173 () (not (= @t21 (_ @t8 @t21 @t170)))) % 0.44/0.65 (define @t174 () (not (= @t170 (_ @t3 @t21 @t170)))) % 0.44/0.65 (define @t175 () (_ @t8 @t21 @t18)) % 0.44/0.65 (define @t176 () (_ @t8 @t28 @t21)) % 0.44/0.65 (define @t177 () (not (= @t176 @t175))) % 0.44/0.65 (define @t178 () (_ @t3 @t21 @t18)) % 0.44/0.65 (define @t179 () (not (= @t170 @t178))) % 0.44/0.65 (define @t180 () (not (= @t28 (_ @t8 @t28 @t170)))) % 0.44/0.65 (define @t181 () (not (= @t170 (_ @t3 @t28 @t170)))) % 0.44/0.65 (define @t182 () (_ @t8 @t28 @t18)) % 0.44/0.65 (define @t183 () (not (= @t176 @t182))) % 0.44/0.65 (define @t184 () (_ @t3 @t28 @t18)) % 0.44/0.65 (define @t185 () (not (= @t170 @t184))) % 0.44/0.65 (define @t186 () (not (= @t176 (_ @t8 @t176 @t18)))) % 0.44/0.65 (define @t187 () (not (= @t18 (_ @t3 @t176 @t18)))) % 0.44/0.65 (define @t188 () (not (= @t176 (_ @t8 @t176 @t21)))) % 0.44/0.65 (define @t189 () (not (= @t21 (_ @t3 @t176 @t21)))) % 0.44/0.65 (define @t190 () (not (= @t176 (_ @t8 @t176 @t28)))) % 0.44/0.65 (define @t191 () (not (= @t28 (_ @t3 @t176 @t28)))) % 0.44/0.65 (define @t192 () (not (= @t176 (_ @t8 @t176 @t170)))) % 0.44/0.65 (define @t193 () (not (= @t170 (_ @t3 @t176 @t170)))) % 0.44/0.65 (define @t194 () (= @t170 @t176)) % 0.44/0.65 (define @t195 () (= @t18 @t170)) % 0.44/0.65 (define @t196 () (= @t18 @t176)) % 0.44/0.65 (define @t197 () (= @t21 @t170)) % 0.44/0.65 (define @t198 () (= @t21 @t176)) % 0.44/0.65 (define @t199 () (= @t28 @t170)) % 0.44/0.65 (define @t200 () (= @t28 @t176)) % 0.44/0.65 (define @t201 () (or @t57 @t55 @t200 @t199 @t51 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185 @t183 @t181 @t180 @t179 @t177 @t174 @t173 @t172 @t171)) % 0.44/0.65 (define @t202 () (@list @t28 @t21 @t18)) % 0.44/0.65 (define @t203 () (forall @t202 @t201)) % 0.44/0.65 (define @t204 () (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135 @t203 @t131)) % 0.44/0.65 (define @t205 () (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135)) % 0.44/0.65 (define @t206 () (not @t203)) % 0.44/0.65 (define @t207 () (=> @t206 @t131)) % 0.44/0.65 (define @t208 () (and @t158 @t155 @t152 @t148 @t143 @t140 @t137 @t134)) % 0.44/0.65 (define @t209 () (_ @t8 @t127)) % 0.44/0.65 (define @t210 () (not (= @t176 @t176))) % 0.44/0.65 (define @t211 () (or @t57 @t55 (= @t176 @t28) @t199 @t51 (= @t176 @t21) @t197 (= @t176 @t18) @t195 (= @t176 @t170) @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t210 @t185 @t183 @t181 @t180 @t179 @t177 @t174 @t173 @t172 @t171)) % 0.44/0.65 (define @t212 () (not (= @t2 @t175))) % 0.44/0.65 (define @t213 () (not (= @t2 @t182))) % 0.44/0.65 (define @t214 () (not (= @t2 @t176))) % 0.44/0.65 (define @t215 () (_ @t8 @t2 @t18)) % 0.44/0.65 (define @t216 () (not (= @t2 @t215))) % 0.44/0.65 (define @t217 () (_ @t3 @t2 @t18)) % 0.44/0.65 (define @t218 () (not (= @t18 @t217))) % 0.44/0.65 (define @t219 () (_ @t8 @t2 @t21)) % 0.44/0.65 (define @t220 () (not (= @t2 @t219))) % 0.44/0.65 (define @t221 () (_ @t3 @t2 @t21)) % 0.44/0.65 (define @t222 () (not (= @t21 @t221))) % 0.44/0.65 (define @t223 () (_ @t8 @t2 @t28)) % 0.44/0.65 (define @t224 () (not (= @t2 @t223))) % 0.44/0.65 (define @t225 () (_ @t3 @t2 @t28)) % 0.44/0.65 (define @t226 () (not (= @t28 @t225))) % 0.44/0.65 (define @t227 () (not (= @t2 (_ @t8 @t2 @t170)))) % 0.44/0.65 (define @t228 () (not (= @t170 (_ @t3 @t2 @t170)))) % 0.44/0.65 (define @t229 () (= @t2 @t170)) % 0.44/0.65 (define @t230 () (= @t2 @t18)) % 0.44/0.65 (define @t231 () (= @t2 @t21)) % 0.44/0.65 (define @t232 () (= @t2 @t28)) % 0.44/0.65 (define @t233 () (or @t214 @t57 @t55 @t232 @t199 @t51 @t231 @t197 @t230 @t195 @t229 @t228 @t227 @t226 @t224 @t222 @t220 @t218 @t216 @t214 @t185 @t213 @t181 @t180 @t179 @t212 @t174 @t173 @t172 @t171)) % 0.44/0.65 (define @t234 () (or @t57 @t55 @t232 @t199 @t51 @t231 @t197 @t230 @t195 @t229 @t228 @t227 @t226 @t224 @t222 @t220 @t218 @t216 @t214 @t185 @t213 @t181 @t180 @t179 @t212 @t174 @t173 @t172 @t171)) % 0.44/0.65 (define @t235 () (forall @t85 @t234)) % 0.44/0.65 (define @t236 () (forall @t202 @t235)) % 0.44/0.65 (define @t237 () (forall (@list @t28 @t21 @t18 @t2) @t234)) % 0.44/0.65 (define @t238 () (@list @t2 @t28 @t21 @t18)) % 0.44/0.65 (define @t239 () (not (= @t170 @t170))) % 0.44/0.65 (define @t240 () (or @t57 @t55 @t232 (= @t170 @t28) @t51 @t231 (= @t170 @t21) @t230 (= @t170 @t18) @t229 @t228 @t227 @t226 @t224 @t222 @t220 @t218 @t216 @t239 @t214 @t185 @t213 @t181 @t180 @t179 @t212 @t174 @t173 @t172 @t171)) % 0.44/0.65 (define @t241 () (_ @t8 @t18 @t6)) % 0.44/0.65 (define @t242 () (not (= @t18 @t241))) % 0.44/0.65 (define @t243 () (_ @t3 @t18 @t6)) % 0.44/0.65 (define @t244 () (not (= @t6 @t243))) % 0.44/0.65 (define @t245 () (_ @t8 @t21 @t6)) % 0.44/0.65 (define @t246 () (not (= @t21 @t245))) % 0.44/0.65 (define @t247 () (_ @t3 @t21 @t6)) % 0.44/0.65 (define @t248 () (not (= @t6 @t247))) % 0.44/0.65 (define @t249 () (not (= @t6 @t178))) % 0.44/0.65 (define @t250 () (_ @t8 @t28 @t6)) % 0.44/0.65 (define @t251 () (not (= @t28 @t250))) % 0.44/0.65 (define @t252 () (_ @t3 @t28 @t6)) % 0.44/0.65 (define @t253 () (not (= @t6 @t252))) % 0.44/0.65 (define @t254 () (not (= @t6 @t184))) % 0.44/0.65 (define @t255 () (not (= @t6 @t170))) % 0.44/0.65 (define @t256 () (not (= @t2 @t132))) % 0.44/0.65 (define @t257 () (not (= @t6 @t127))) % 0.44/0.65 (define @t258 () (= @t6 @t18)) % 0.44/0.65 (define @t259 () (= @t6 @t21)) % 0.44/0.65 (define @t260 () (= @t6 @t28)) % 0.44/0.65 (define @t261 () (or @t255 @t57 @t55 @t232 @t260 @t51 @t231 @t259 @t230 @t258 @t45 @t257 @t256 @t226 @t224 @t222 @t220 @t218 @t216 @t255 @t214 @t254 @t213 @t253 @t251 @t249 @t212 @t248 @t246 @t244 @t242)) % 0.44/0.65 (define @t262 () (@list @t6)) % 0.44/0.65 (define @t263 () (or @t57 @t55 @t232 @t260 @t51 @t231 @t259 @t230 @t258 @t45 @t257 @t256 @t226 @t224 @t222 @t220 @t218 @t216 @t255 @t214 @t254 @t213 @t253 @t251 @t249 @t212 @t248 @t246 @t244 @t242)) % 0.44/0.65 (define @t264 () (forall @t262 @t263)) % 0.44/0.65 (define @t265 () (forall @t238 @t264)) % 0.44/0.65 (define @t266 () (forall (@list @t2 @t28 @t21 @t18 @t6) @t263)) % 0.44/0.65 (define @t267 () (= @t18 @t19)) % 0.44/0.65 (define @t268 () (not @t267)) % 0.44/0.65 (define @t269 () (= @t6 @t20)) % 0.44/0.65 (define @t270 () (not @t269)) % 0.44/0.65 (define @t271 () (= @t21 @t23)) % 0.44/0.65 (define @t272 () (not @t271)) % 0.44/0.65 (define @t273 () (= @t6 @t25)) % 0.44/0.65 (define @t274 () (not @t273)) % 0.44/0.65 (define @t275 () (= @t2 @t26)) % 0.44/0.65 (define @t276 () (not @t275)) % 0.44/0.65 (define @t277 () (= @t6 @t27)) % 0.44/0.65 (define @t278 () (not @t277)) % 0.44/0.65 (define @t279 () (= @t28 @t30)) % 0.44/0.65 (define @t280 () (not @t279)) % 0.44/0.65 (define @t281 () (= @t6 @t32)) % 0.44/0.65 (define @t282 () (not @t281)) % 0.44/0.65 (define @t283 () (= @t2 @t33)) % 0.44/0.65 (define @t284 () (not @t283)) % 0.44/0.65 (define @t285 () (= @t6 @t34)) % 0.44/0.65 (define @t286 () (not @t285)) % 0.44/0.65 (define @t287 () (= @t2 @t35)) % 0.44/0.65 (define @t288 () (not @t287)) % 0.44/0.65 (define @t289 () (= @t6 @t36)) % 0.44/0.65 (define @t290 () (not @t289)) % 0.44/0.65 (define @t291 () (= @t2 @t38)) % 0.44/0.65 (define @t292 () (not @t291)) % 0.44/0.65 (define @t293 () (= @t18 @t39)) % 0.44/0.65 (define @t294 () (not @t293)) % 0.44/0.65 (define @t295 () (= @t2 @t40)) % 0.44/0.65 (define @t296 () (not @t295)) % 0.44/0.65 (define @t297 () (= @t21 @t41)) % 0.44/0.65 (define @t298 () (not @t297)) % 0.44/0.65 (define @t299 () (= @t2 @t42)) % 0.44/0.65 (define @t300 () (not @t299)) % 0.44/0.65 (define @t301 () (= @t28 @t43)) % 0.44/0.65 (define @t302 () (not @t301)) % 0.44/0.65 (define @t303 () (= @t2 @t44)) % 0.44/0.65 (define @t304 () (not @t303)) % 0.44/0.65 (define @t305 () (= @t6 @t7)) % 0.44/0.65 (define @t306 () (not @t305)) % 0.44/0.65 (define @t307 () (or @t57 @t55 @t232 @t260 @t51 @t231 @t259 @t230 @t258 @t45 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268)) % 0.44/0.65 (define @t308 () (not @t46)) % 0.44/0.65 (define @t309 () (not @t258)) % 0.44/0.65 (define @t310 () (not @t309)) % 0.44/0.65 (define @t311 () (not @t230)) % 0.44/0.65 (define @t312 () (not @t311)) % 0.44/0.65 (define @t313 () (not @t259)) % 0.44/0.65 (define @t314 () (not @t313)) % 0.44/0.65 (define @t315 () (not @t231)) % 0.44/0.65 (define @t316 () (not @t315)) % 0.44/0.65 (define @t317 () (not @t52)) % 0.44/0.65 (define @t318 () (not @t260)) % 0.44/0.65 (define @t319 () (not @t318)) % 0.44/0.65 (define @t320 () (not @t232)) % 0.44/0.65 (define @t321 () (not @t320)) % 0.44/0.65 (define @t322 () (not @t56)) % 0.44/0.65 (define @t323 () (not @t58)) % 0.44/0.65 (define @t324 () (or @t323 @t322 @t321 @t319 @t317 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t268)) % 0.44/0.65 (define @t325 () (and @t58 @t56 @t320 @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267)) % 0.44/0.65 (define @t326 () (forall @t60 (not @t325))) % 0.44/0.65 (define @t327 () (not @t326)) % 0.44/0.65 (define @t328 () (= @t6 @t63)) % 0.44/0.65 (define @t329 () (= @t6 @t66)) % 0.44/0.65 (define @t330 () (= @t2 @t84)) % 0.44/0.65 (define @t331 () (= @t2 @t87)) % 0.44/0.65 (define @t332 () (forall @t164 (or @t159 @t156 @t153 @t149 @t144 @t141 @t138 @t135 @t131 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 (= @t102 @t96) @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t104 @t103 @t101 @t100 @t99 @t98))) % 0.44/0.65 (define @t333 () (@quantifiers_skolemize @t332 1)) % 0.44/0.65 (define @t334 () (_ @t333 @t2 @t6)) % 0.44/0.65 (define @t335 () (@quantifiers_skolemize @t332 0)) % 0.44/0.65 (define @t336 () (_ @t335 @t6 @t1)) % 0.44/0.65 (define @t337 () (forall @t15 (= (_ @t333 @t2 @t336) (_ @t335 @t334 (_ @t333 @t2 @t1))))) % 0.44/0.65 (define @t338 () (@quantifiers_skolemize @t332 3)) % 0.44/0.65 (define @t339 () (@quantifiers_skolemize @t332 2)) % 0.44/0.65 (define @t340 () (_ @t333 @t339 @t338)) % 0.44/0.65 (define @t341 () (@quantifiers_skolemize @t332 4)) % 0.44/0.65 (define @t342 () (_ @t335 @t338 @t341)) % 0.44/0.65 (define @t343 () (_ @t335 @t339 @t338)) % 0.44/0.65 (define @t344 () (= @t343 @t342)) % 0.44/0.65 (define @t345 () (not @t344)) % 0.44/0.65 (define @t346 () (= @t340 (_ @t333 @t339 @t340))) % 0.44/0.65 (define @t347 () (not @t346)) % 0.44/0.65 (define @t348 () (_ @t333 @t339 @t341)) % 0.44/0.65 (define @t349 () (= @t340 @t348)) % 0.44/0.65 (define @t350 () (not @t349)) % 0.44/0.65 (define @t351 () (= @t339 (_ @t333 @t343 @t339))) % 0.44/0.65 (define @t352 () (not @t351)) % 0.44/0.65 (define @t353 () (= @t339 @t340)) % 0.44/0.65 (define @t354 () (not @t337)) % 0.44/0.65 (define @t355 () (_ @t335 @t2 @t6)) % 0.44/0.65 (define @t356 () (forall @t64 (= @t6 (_ @t335 @t334 @t6)))) % 0.44/0.65 (define @t357 () (not @t356)) % 0.44/0.65 (define @t358 () (forall @t64 (= @t334 (_ @t333 @t6 @t2)))) % 0.44/0.65 (define @t359 () (not @t358)) % 0.44/0.65 (define @t360 () (or (not (forall @t85 (= @t2 (_ @t335 @t2 @t2)))) (not (forall @t85 (= @t2 (_ @t333 @t2 @t2)))) (not (forall @t15 (= (_ @t335 @t355 @t1) (_ @t335 @t2 @t336)))) (not (forall @t15 (= (_ @t333 @t334 @t1) (_ @t333 @t2 (_ @t333 @t6 @t1))))) (not (forall @t64 (= @t355 (_ @t335 @t6 @t2)))) @t359 @t357 (not (forall @t64 (= @t6 (_ @t333 @t355 @t6)))) @t354 (= @t339 @t338) (= @t339 @t341) (= @t339 @t343) @t353 (= @t338 @t341) (= @t338 @t343) (= @t338 @t340) (= @t341 @t343) (= @t341 @t340) (= @t343 @t340) (not (= @t340 (_ @t333 @t343 @t340))) (not (= @t343 (_ @t335 @t343 @t340))) @t352 (not (= @t343 (_ @t335 @t343 @t339))) (not (= @t338 (_ @t333 @t343 @t338))) (not (= @t343 (_ @t335 @t343 @t338))) (not (= @t341 (_ @t333 @t343 @t341))) (not (= @t343 (_ @t335 @t343 @t341))) @t350 (not (= @t343 (_ @t335 @t339 @t341))) @t347 (not (= @t339 (_ @t335 @t339 @t340))) (not (= @t340 (_ @t333 @t338 @t341))) @t345 (not (= @t340 (_ @t333 @t338 @t340))) (not (= @t338 (_ @t335 @t338 @t340))) (not (= @t340 (_ @t333 @t341 @t340))) (not (= @t341 (_ @t335 @t341 @t340))))) % 0.44/0.65 (define @t361 () (@list true)) % 0.44/0.65 (define @t362 () (@list @t360)) % 0.44/0.65 (define @t363 () (_ @t335 @t340 @t348)) % 0.44/0.65 (define @t364 () (_ @t333 @t339 @t342)) % 0.44/0.65 (define @t365 () (= @t364 @t363)) % 0.44/0.65 (assume @p1 @t93) % 0.44/0.65 (assume @p2 true) % 0.44/0.65 (step @p3 :rule refl :args (@t98)) % 0.44/0.65 (step @p4 :rule refl :args (@t99)) % 0.44/0.65 (step @p5 :rule refl :args (@t100)) % 0.44/0.65 (step @p6 :rule refl :args (@t101)) % 0.44/0.65 (step @p7 :rule refl :args (@t103)) % 0.44/0.65 (step @p8 :rule refl :args (@t104)) % 0.44/0.65 (step @p9 :rule refl :args (@t105)) % 0.44/0.65 (step @p10 :rule refl :args (@t106)) % 0.44/0.65 (step @p11 :rule refl :args (@t107)) % 0.44/0.65 (step @p12 :rule refl :args (@t108)) % 0.44/0.65 (step @p13 :rule refl :args (@t109)) % 0.44/0.65 (step @p14 :rule refl :args (@t110)) % 0.44/0.65 (step @p15 :rule refl :args (@t111)) % 0.44/0.65 (step @p16 :rule refl :args (@t112)) % 0.44/0.65 (step @p17 :rule refl :args (@t113)) % 0.44/0.65 (step @p18 :rule refl :args (@t114)) % 0.44/0.65 (step @p19 :rule refl :args (@t115)) % 0.44/0.65 (step @p20 :rule refl :args (@t116)) % 0.44/0.65 (step @p21 :rule eq-symm :args (@t96 @t102)) % 0.44/0.65 (step @p22 :rule refl :args (@t117)) % 0.44/0.65 (step @p23 :rule refl :args (@t118)) % 0.44/0.65 (step @p24 :rule refl :args (@t119)) % 0.44/0.65 (step @p25 :rule refl :args (@t120)) % 0.44/0.65 (step @p26 :rule refl :args (@t121)) % 0.44/0.65 (step @p27 :rule refl :args (@t122)) % 0.44/0.65 (step @p28 :rule refl :args (@t123)) % 0.44/0.65 (step @p29 :rule refl :args (@t124)) % 0.44/0.65 (step @p30 :rule refl :args (@t125)) % 0.44/0.65 (step @p31 :rule refl :args (@t131)) % 0.44/0.65 (step @p32 :rule refl :args (@t135)) % 0.44/0.65 (step @p33 :rule refl :args (@t138)) % 0.44/0.65 (step @p34 :rule refl :args (@t141)) % 0.44/0.65 (step @p35 :rule refl :args (@t144)) % 0.44/0.65 (step @p36 :rule refl :args (@t149)) % 0.44/0.65 (step @p37 :rule refl :args (@t153)) % 0.44/0.65 (step @p38 :rule refl :args (@t156)) % 0.44/0.65 (step @p39 :rule refl :args (@t159)) % 0.44/0.65 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t161)) % 0.44/0.65 (step @p41 :rule aci_norm :args ((= @t163 @t161))) % 0.44/0.65 (step @p42 :rule trans :premises (@p41 @p40)) % 0.44/0.65 (step @p43 :rule cong :premises (@p42) :args (@t165)) % 0.44/0.65 (step @p44 :rule quant-merge-prenex :args ((= (forall @t91 @t167) @t165))) % 0.44/0.65 (step @p45 :rule refl :args (@t131)) % 0.44/0.65 (step @p46 :rule alpha_equiv :args (@t168 (@list @t95 @t94 @t97) (@list @t28 @t21 @t18))) % 0.44/0.65 (step @p47 :rule refl :args (@t135)) % 0.44/0.65 (step @p48 :rule refl :args (@t138)) % 0.44/0.65 (step @p49 :rule refl :args (@t141)) % 0.44/0.65 (step @p50 :rule refl :args (@t144)) % 0.44/0.65 (step @p51 :rule refl :args (@t149)) % 0.44/0.65 (step @p52 :rule refl :args (@t153)) % 0.44/0.65 (step @p53 :rule refl :args (@t156)) % 0.44/0.65 (step @p54 :rule refl :args (@t159)) % 0.44/0.65 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45) :args (@t169)) % 0.44/0.65 (step @p56 :rule quant-miniscope-or :args ((= @t167 @t169))) % 0.44/0.65 (step @p57 :rule trans :premises (@p56 @p55)) % 0.44/0.65 (step @p58 :rule symm :premises (@p57)) % 0.44/0.65 (step @p59 :rule cong :premises (@p58) :args ((forall @t91 @t204))) % 0.44/0.65 (step @p60 :rule trans :premises (@p59 @p44)) % 0.44/0.65 (step @p61 :rule trans :premises (@p60 @p43)) % 0.44/0.65 (step @p62 :rule aci_norm :args ((= (or @t205 (or @t203 @t131)) @t204))) % 0.44/0.65 (step @p63 :rule bool-double-not-elim :args (@t203)) % 0.44/0.65 (step @p64 :rule nary_cong :premises (@p63 @p45) :args ((or (not @t206) @t131))) % 0.44/0.65 (step @p65 :rule bool-impl-elim :args (@t206 @t131)) % 0.44/0.65 (step @p66 :rule trans :premises (@p65 @p64)) % 0.44/0.65 (step @p67 :rule aci_norm :args ((= (or @t159 (or @t156 (or @t153 (or @t149 (or @t144 (or @t141 (or @t138 @t135))))))) @t205))) % 0.44/0.65 (step @p68 :rule bool-and-de-morgan :args (@t137 @t134 true)) % 0.44/0.65 (step @p69 :rule nary_cong :premises (@p49 @p68) :args ((or @t141 (not (and @t137 @t134))))) % 0.44/0.65 (step @p70 :rule bool-and-de-morgan :args (@t140 @t137 (and @t134))) % 0.44/0.65 (step @p71 :rule trans :premises (@p70 @p69)) % 0.44/0.65 (step @p72 :rule nary_cong :premises (@p50 @p71) :args ((or @t144 (not (and @t140 @t137 @t134))))) % 0.44/0.65 (step @p73 :rule bool-and-de-morgan :args (@t143 @t140 (and @t137 @t134))) % 0.44/0.65 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.65 (step @p75 :rule nary_cong :premises (@p51 @p74) :args ((or @t149 (not (and @t143 @t140 @t137 @t134))))) % 0.44/0.65 (step @p76 :rule bool-and-de-morgan :args (@t148 @t143 (and @t140 @t137 @t134))) % 0.44/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.44/0.65 (step @p78 :rule nary_cong :premises (@p52 @p77) :args ((or @t153 (not (and @t148 @t143 @t140 @t137 @t134))))) % 0.44/0.65 (step @p79 :rule bool-and-de-morgan :args (@t152 @t148 (and @t143 @t140 @t137 @t134))) % 0.44/0.65 (step @p80 :rule trans :premises (@p79 @p78)) % 0.44/0.65 (step @p81 :rule nary_cong :premises (@p53 @p80) :args ((or @t156 (not (and @t152 @t148 @t143 @t140 @t137 @t134))))) % 0.44/0.65 (step @p82 :rule bool-and-de-morgan :args (@t155 @t152 (and @t148 @t143 @t140 @t137 @t134))) % 0.44/0.65 (step @p83 :rule trans :premises (@p82 @p81)) % 0.44/0.65 (step @p84 :rule nary_cong :premises (@p54 @p83) :args ((or @t159 (not (and @t155 @t152 @t148 @t143 @t140 @t137 @t134))))) % 0.44/0.65 (step 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(step @p349 :rule refl :args (@t132)) % 0.44/0.65 (step @p350 :rule refl :args (@t44)) % 0.44/0.65 (step @p351 :rule cong :premises (@p350 @p349) :args ((= @t44 @t132))) % 0.44/0.65 (step @p352 :rule symm :premises (@p351)) % 0.44/0.65 (step @p353 :rule eq_resolve :premises (@p350 @p352)) % 0.44/0.65 (step @p354 :rule cong :premises (@p119 @p353) :args (@t303)) % 0.44/0.65 (step @p355 :rule cong :premises (@p354) :args (@t304)) % 0.44/0.65 (step @p356 :rule cong :premises (@p232 @p113) :args (@t305)) % 0.44/0.65 (step @p357 :rule cong :premises (@p356) :args (@t306)) % 0.44/0.65 (step @p358 :rule refl :args (@t45)) % 0.44/0.65 (step @p359 :rule refl :args (@t258)) % 0.44/0.65 (step @p360 :rule refl :args (@t230)) % 0.44/0.65 (step @p361 :rule refl :args (@t259)) % 0.44/0.65 (step @p362 :rule refl :args (@t231)) % 0.44/0.65 (step @p363 :rule refl :args (@t51)) % 0.44/0.65 (step @p364 :rule refl :args (@t260)) % 0.44/0.65 (step @p365 :rule refl :args (@t232)) % 0.44/0.65 (step @p366 :rule refl :args (@t55)) % 0.44/0.65 (step @p367 :rule refl :args (@t57)) % 0.44/0.65 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365 @p364 @p363 @p362 @p361 @p360 @p359 @p358 @p357 @p355 @p348 @p341 @p334 @p327 @p320 @p313 @p306 @p299 @p292 @p285 @p278 @p271 @p263 @p256 @p249 @p242 @p234 @p226) :args (@t307)) % 0.44/0.65 (step @p369 :rule cong :premises (@p368) :args ((forall @t60 @t307))) % 0.44/0.65 (step @p370 :rule trans :premises (@p369 @p218)) % 0.44/0.65 (step @p371 :rule refl :args (@t268)) % 0.44/0.65 (step @p372 :rule refl :args (@t270)) % 0.44/0.65 (step @p373 :rule refl :args (@t272)) % 0.44/0.65 (step @p374 :rule refl :args (@t274)) % 0.44/0.65 (step @p375 :rule refl :args (@t276)) % 0.44/0.65 (step @p376 :rule refl :args (@t278)) % 0.44/0.65 (step @p377 :rule refl :args (@t280)) % 0.44/0.65 (step @p378 :rule refl :args (@t282)) % 0.44/0.65 (step @p379 :rule refl :args (@t284)) % 0.44/0.65 (step @p380 :rule refl :args (@t286)) % 0.44/0.65 (step @p381 :rule refl :args (@t288)) % 0.44/0.65 (step @p382 :rule refl :args (@t290)) % 0.44/0.65 (step @p383 :rule refl :args (@t292)) % 0.44/0.65 (step @p384 :rule refl :args (@t294)) % 0.44/0.65 (step @p385 :rule refl :args (@t296)) % 0.44/0.65 (step @p386 :rule refl :args (@t298)) % 0.44/0.65 (step @p387 :rule refl :args (@t300)) % 0.44/0.65 (step @p388 :rule refl :args (@t302)) % 0.44/0.65 (step @p389 :rule refl :args (@t304)) % 0.44/0.65 (step @p390 :rule refl :args (@t306)) % 0.44/0.65 (step @p391 :rule bool-double-not-elim :args (@t45)) % 0.44/0.65 (step @p392 :rule bool-double-not-elim :args (@t258)) % 0.44/0.65 (step @p393 :rule bool-double-not-elim :args (@t230)) % 0.44/0.65 (step @p394 :rule bool-double-not-elim :args (@t259)) % 0.44/0.65 (step @p395 :rule bool-double-not-elim :args (@t231)) % 0.44/0.65 (step @p396 :rule bool-double-not-elim :args (@t51)) % 0.44/0.65 (step @p397 :rule bool-double-not-elim :args (@t260)) % 0.44/0.65 (step @p398 :rule bool-double-not-elim :args (@t232)) % 0.44/0.65 (step @p399 :rule bool-double-not-elim :args (@t55)) % 0.44/0.65 (step @p400 :rule bool-double-not-elim :args (@t57)) % 0.44/0.65 (step @p401 :rule nary_cong :premises (@p400 @p399 @p398 @p397 @p396 @p395 @p394 @p393 @p392 @p391 @p390 @p389 @p388 @p387 @p386 @p385 @p384 @p383 @p382 @p381 @p380 @p379 @p378 @p377 @p376 @p375 @p374 @p373 @p372 @p371) :args (@t324)) % 0.44/0.65 (step @p402 :rule aci_norm :args ((= (or @t323 (or @t322 (or @t321 (or @t319 (or @t317 (or @t316 (or @t314 (or @t312 (or @t310 (or @t308 (or @t306 (or @t304 (or @t302 (or @t300 (or @t298 (or @t296 (or @t294 (or @t292 (or @t290 (or @t288 (or @t286 (or @t284 (or @t282 (or @t280 (or @t278 (or @t276 (or @t274 (or @t272 (or @t270 @t268))))))))))))))))))))))))))))) @t324))) % 0.44/0.65 (step @p403 :rule trans :premises (@p402 @p401)) % 0.44/0.65 (step @p404 :rule bool-and-de-morgan :args (@t269 @t267 true)) % 0.44/0.65 (step @p405 :rule nary_cong :premises (@p373 @p404) :args ((or @t272 (not (and @t269 @t267))))) % 0.44/0.65 (step @p406 :rule bool-and-de-morgan :args (@t271 @t269 (and @t267))) % 0.44/0.65 (step @p407 :rule trans :premises (@p406 @p405)) % 0.44/0.65 (step @p408 :rule nary_cong :premises (@p374 @p407) :args ((or @t274 (not (and @t271 @t269 @t267))))) % 0.44/0.65 (step @p409 :rule bool-and-de-morgan :args (@t273 @t271 (and @t269 @t267))) % 0.44/0.65 (step @p410 :rule trans :premises (@p409 @p408)) % 0.44/0.65 (step @p411 :rule nary_cong :premises (@p375 @p410) :args ((or @t276 (not (and @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p412 :rule bool-and-de-morgan :args (@t275 @t273 (and @t271 @t269 @t267))) % 0.44/0.65 (step @p413 :rule trans :premises (@p412 @p411)) % 0.44/0.65 (step @p414 :rule nary_cong :premises (@p376 @p413) :args ((or @t278 (not (and @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p415 :rule bool-and-de-morgan :args (@t277 @t275 (and @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p416 :rule trans :premises (@p415 @p414)) % 0.44/0.65 (step @p417 :rule nary_cong :premises (@p377 @p416) :args ((or @t280 (not (and @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p418 :rule bool-and-de-morgan :args (@t279 @t277 (and @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p419 :rule trans :premises (@p418 @p417)) % 0.44/0.65 (step @p420 :rule nary_cong :premises (@p378 @p419) :args ((or @t282 (not (and @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p421 :rule bool-and-de-morgan :args (@t281 @t279 (and @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p422 :rule trans :premises (@p421 @p420)) % 0.44/0.65 (step @p423 :rule nary_cong :premises (@p379 @p422) :args ((or @t284 (not (and @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p424 :rule bool-and-de-morgan :args (@t283 @t281 (and @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p425 :rule trans :premises (@p424 @p423)) % 0.44/0.65 (step @p426 :rule nary_cong :premises (@p380 @p425) :args ((or @t286 (not (and @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p427 :rule bool-and-de-morgan :args (@t285 @t283 (and @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p428 :rule trans :premises (@p427 @p426)) % 0.44/0.65 (step @p429 :rule nary_cong :premises (@p381 @p428) :args ((or @t288 (not (and @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p430 :rule bool-and-de-morgan :args (@t287 @t285 (and @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p431 :rule trans :premises (@p430 @p429)) % 0.44/0.65 (step @p432 :rule nary_cong :premises (@p382 @p431) :args ((or @t290 (not (and @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p433 :rule bool-and-de-morgan :args (@t289 @t287 (and @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p434 :rule trans :premises (@p433 @p432)) % 0.44/0.65 (step @p435 :rule nary_cong :premises (@p383 @p434) :args ((or @t292 (not (and @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p436 :rule bool-and-de-morgan :args (@t291 @t289 (and @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p437 :rule trans :premises (@p436 @p435)) % 0.44/0.65 (step @p438 :rule nary_cong :premises (@p384 @p437) :args ((or @t294 (not (and @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p439 :rule bool-and-de-morgan :args (@t293 @t291 (and @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p440 :rule trans :premises (@p439 @p438)) % 0.44/0.65 (step @p441 :rule nary_cong :premises (@p385 @p440) :args ((or @t296 (not (and @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p442 :rule bool-and-de-morgan :args (@t295 @t293 (and @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p443 :rule trans :premises (@p442 @p441)) % 0.44/0.65 (step @p444 :rule nary_cong :premises (@p386 @p443) :args ((or @t298 (not (and @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p445 :rule bool-and-de-morgan :args (@t297 @t295 (and @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p446 :rule trans :premises (@p445 @p444)) % 0.44/0.65 (step @p447 :rule nary_cong :premises (@p387 @p446) :args ((or @t300 (not (and @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p448 :rule bool-and-de-morgan :args (@t299 @t297 (and @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p449 :rule trans :premises (@p448 @p447)) % 0.44/0.65 (step @p450 :rule nary_cong :premises (@p388 @p449) :args ((or @t302 (not (and @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p451 :rule bool-and-de-morgan :args (@t301 @t299 (and @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p452 :rule trans :premises (@p451 @p450)) % 0.44/0.65 (step @p453 :rule nary_cong :premises (@p389 @p452) :args ((or @t304 (not (and @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p454 :rule bool-and-de-morgan :args (@t303 @t301 (and @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p455 :rule trans :premises (@p454 @p453)) % 0.44/0.65 (step @p456 :rule nary_cong :premises (@p390 @p455) :args ((or @t306 (not (and @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p457 :rule bool-and-de-morgan :args (@t305 @t303 (and @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p458 :rule trans :premises (@p457 @p456)) % 0.44/0.65 (step @p459 :rule refl :args (@t308)) % 0.44/0.65 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t308 (not (and @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p461 :rule bool-and-de-morgan :args (@t46 @t305 (and @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p462 :rule trans :premises (@p461 @p460)) % 0.44/0.65 (step @p463 :rule refl :args (@t310)) % 0.44/0.65 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or @t310 (not (and @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p465 :rule bool-and-de-morgan :args (@t309 @t46 (and @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p466 :rule trans :premises (@p465 @p464)) % 0.44/0.65 (step @p467 :rule refl :args (@t312)) % 0.44/0.65 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t312 (not (and @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p469 :rule bool-and-de-morgan :args (@t311 @t309 (and @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p470 :rule trans :premises (@p469 @p468)) % 0.44/0.65 (step @p471 :rule refl :args (@t314)) % 0.44/0.65 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or @t314 (not (and @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p473 :rule bool-and-de-morgan :args (@t313 @t311 (and @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p474 :rule trans :premises (@p473 @p472)) % 0.44/0.65 (step @p475 :rule refl :args (@t316)) % 0.44/0.65 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t316 (not (and @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p477 :rule bool-and-de-morgan :args (@t315 @t313 (and @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p478 :rule trans :premises (@p477 @p476)) % 0.44/0.65 (step @p479 :rule refl :args (@t317)) % 0.44/0.65 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t317 (not (and @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p481 :rule bool-and-de-morgan :args (@t52 @t315 (and @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p482 :rule trans :premises (@p481 @p480)) % 0.44/0.65 (step @p483 :rule refl :args (@t319)) % 0.44/0.65 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t319 (not (and @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p485 :rule bool-and-de-morgan :args (@t318 @t52 (and @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p486 :rule trans :premises (@p485 @p484)) % 0.44/0.65 (step @p487 :rule refl :args (@t321)) % 0.44/0.65 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t321 (not (and @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p489 :rule bool-and-de-morgan :args (@t320 @t318 (and @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p490 :rule trans :premises (@p489 @p488)) % 0.44/0.65 (step @p491 :rule refl :args (@t322)) % 0.44/0.65 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t322 (not (and @t320 @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p493 :rule bool-and-de-morgan :args (@t56 @t320 (and @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p494 :rule trans :premises (@p493 @p492)) % 0.44/0.65 (step @p495 :rule refl :args (@t323)) % 0.44/0.65 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t323 (not (and @t56 @t320 @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))))) % 0.44/0.65 (step @p497 :rule bool-and-de-morgan :args (@t58 @t56 (and @t320 @t318 @t52 @t315 @t313 @t311 @t309 @t46 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267))) % 0.44/0.65 (step @p498 :rule trans :premises (@p497 @p496)) % 0.44/0.65 (step @p499 :rule trans 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@t360))) % 0.44/0.65 (step @p698 :rule chain_m_resolution :premises (@p697 @p673) :args (@t346 @t361 @t362)) % 0.44/0.65 (step @p699 :rule cong :premises (@p698 @p692) :args ((_ @t335 @t340 @t340))) % 0.44/0.65 (step @p700 :rule bool-double-not-elim :args (@t349)) % 0.44/0.65 (step @p701 :rule nary_cong :premises (@p675 @p700) :args ((or @t360 (not @t350)))) % 0.44/0.65 (step @p702 :rule cnf_or_neg :args (@t360 27)) % 0.44/0.65 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 0.44/0.65 (step @p704 :rule reordering :premises (@p703) :args ((or @t349 @t360))) % 0.44/0.65 (step @p705 :rule chain_m_resolution :premises (@p704 @p673) :args (@t349 @t361 @t362)) % 0.44/0.65 (step @p706 :rule symm :premises (@p705)) % 0.44/0.65 (step @p707 :rule cong :premises (@p692 @p706) :args (@t363)) % 0.44/0.65 (step @p708 :rule trans :premises (@p707 @p699 @p691)) % 0.44/0.65 (step @p709 :rule bool-double-not-elim :args (@t351)) % 0.44/0.65 (step @p710 :rule nary_cong :premises (@p675 @p709) :args ((or @t360 (not @t352)))) % 0.44/0.65 (step @p711 :rule cnf_or_neg :args (@t360 21)) % 0.44/0.65 (step @p712 :rule eq_resolve :premises (@p711 @p710)) % 0.44/0.65 (step @p713 :rule reordering :premises (@p712) :args ((or @t351 @t360))) % 0.44/0.65 (step @p714 :rule chain_m_resolution :premises (@p713 @p673) :args (@t351 @t361 @t362)) % 0.44/0.65 (step @p715 :rule symm :premises (@p714)) % 0.44/0.65 (step @p716 :rule bool-double-not-elim :args (@t358)) % 0.44/0.65 (step @p717 :rule nary_cong :premises (@p675 @p716) :args ((or @t360 (not @t359)))) % 0.44/0.65 (step @p718 :rule cnf_or_neg :args (@t360 5)) % 0.44/0.65 (step @p719 :rule eq_resolve :premises (@p718 @p717)) % 0.44/0.65 (step @p720 :rule reordering :premises (@p719) :args ((or @t358 @t360))) % 0.44/0.65 (step @p721 :rule chain_m_resolution :premises (@p720 @p673) :args (@t358 @t361 @t362)) % 0.44/0.65 (step @p722 :rule instantiate :premises (@p721) :args ((@list @t343 @t339))) % 0.44/0.65 (step @p723 :rule symm :premises (@p722)) % 0.44/0.65 (step @p724 :rule bool-double-not-elim :args (@t344)) % 0.44/0.65 (step @p725 :rule nary_cong :premises (@p675 @p724) :args ((or @t360 (not @t345)))) % 0.44/0.65 (step @p726 :rule cnf_or_neg :args (@t360 32)) % 0.44/0.65 (step @p727 :rule eq_resolve :premises (@p726 @p725)) % 0.44/0.65 (step @p728 :rule reordering :premises (@p727) :args ((or @t344 @t360))) % 0.44/0.65 (step @p729 :rule chain_m_resolution :premises (@p728 @p673) :args (@t344 @t361 @t362)) % 0.44/0.65 (step @p730 :rule symm :premises (@p729)) % 0.44/0.65 (step @p731 :rule refl :args (@t339)) % 0.44/0.65 (step @p732 :rule cong :premises (@p731 @p730) :args (@t364)) % 0.44/0.65 (step @p733 :rule trans :premises (@p732 @p723 @p715)) % 0.44/0.65 (step @p734 :rule cong :premises (@p733 @p708) :args (@t365)) % 0.44/0.65 (step @p735 :rule trans :premises (@p734 @p683)) % 0.44/0.65 (step @p736 :rule false_elim :premises (@p735)) % 0.44/0.65 (assume-push @p743 @t337) % 0.44/0.65 (step @p738 :rule instantiate :premises (@p680) :args ((@list @t339 @t338 @t341))) % 0.44/0.65 (step-pop @p744 :rule scope :premises (@p738)) % 0.44/0.65 (step @p739 :rule process_scope :premises (@p744) :args (@t365)) % 0.44/0.65 (step @p741 :rule implies_elim :premises (@p739)) % 0.44/0.65 (step @p742 false :rule chain_m_resolution :premises (@p741 @p736 @p680) :args (false (@list true false) (@list @t365 @t337))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------