%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN057+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:42:51 AM UTC 2026 % Result : Theorem 15.38s 15.85s % Output : Proof 15.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUN057+2 : TPTP v9.2.1. Released v7.3.0. % 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n010.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 12:37:55 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 15.38/15.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.38/15.85 --- Run --no-e-matching --full-saturate-quant at 6... % 15.38/15.85 % SZS status Theorem % 15.38/15.85 % SZS output start Proof % 15.38/15.85 ( % 15.38/15.85 (declare-sort $$unsorted 0) % 15.38/15.85 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.38/15.85 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.38/15.85 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 15.38/15.85 (declare-const tptp.r1 (-> $$unsorted Bool)) % 15.38/15.85 (define @t1 () (@var "Y24" $$unsorted)) % 15.38/15.85 (define @t2 () (@var "X19" $$unsorted)) % 15.38/15.85 (define @t3 () (= @t2 @t1)) % 15.38/15.85 (define @t4 () (tptp.r1 @t2)) % 15.38/15.85 (define @t5 () (and @t4 @t3)) % 15.38/15.85 (define @t6 () (not @t3)) % 15.38/15.85 (define @t7 () (not @t4)) % 15.38/15.85 (define @t8 () (and @t7 @t6)) % 15.38/15.85 (define @t9 () (or @t8 @t5)) % 15.38/15.85 (define @t10 () (@list @t2)) % 15.38/15.85 (define @t11 () (forall @t10 @t9)) % 15.38/15.85 (define @t12 () (@list @t1)) % 15.38/15.85 (define @t13 () (exists @t12 @t11)) % 15.38/15.85 (define @t14 () (@var "Y21" $$unsorted)) % 15.38/15.85 (define @t15 () (@var "X12" $$unsorted)) % 15.38/15.85 (define @t16 () (= @t15 @t14)) % 15.38/15.85 (define @t17 () (@var "X11" $$unsorted)) % 15.38/15.85 (define @t18 () (tptp.r2 @t17 @t15)) % 15.38/15.85 (define @t19 () (and @t18 @t16)) % 15.38/15.85 (define @t20 () (not @t16)) % 15.38/15.85 (define @t21 () (not @t18)) % 15.38/15.85 (define @t22 () (and @t21 @t20)) % 15.38/15.85 (define @t23 () (or @t22 @t19)) % 15.38/15.85 (define @t24 () (@list @t15)) % 15.38/15.85 (define @t25 () (forall @t24 @t23)) % 15.38/15.85 (define @t26 () (@list @t14)) % 15.38/15.85 (define @t27 () (exists @t26 @t25)) % 15.38/15.85 (define @t28 () (forall (@list @t17) @t27)) % 15.38/15.85 (define @t29 () (@var "Y22" $$unsorted)) % 15.38/15.85 (define @t30 () (@var "X15" $$unsorted)) % 15.38/15.85 (define @t31 () (= @t30 @t29)) % 15.38/15.85 (define @t32 () (@var "X14" $$unsorted)) % 15.38/15.85 (define @t33 () (@var "X13" $$unsorted)) % 15.38/15.85 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 15.38/15.85 (define @t35 () (and @t34 @t31)) % 15.38/15.85 (define @t36 () (not @t31)) % 15.38/15.85 (define @t37 () (not @t34)) % 15.38/15.85 (define @t38 () (and @t37 @t36)) % 15.38/15.85 (define @t39 () (or @t38 @t35)) % 15.38/15.85 (define @t40 () (@list @t30)) % 15.38/15.85 (define @t41 () (forall @t40 @t39)) % 15.38/15.85 (define @t42 () (@list @t29)) % 15.38/15.85 (define @t43 () (exists @t42 @t41)) % 15.38/15.85 (define @t44 () (forall (@list @t33 @t32) @t43)) % 15.38/15.85 (define @t45 () (@var "Y23" $$unsorted)) % 15.38/15.85 (define @t46 () (@var "X18" $$unsorted)) % 15.38/15.85 (define @t47 () (= @t46 @t45)) % 15.38/15.85 (define @t48 () (@var "X17" $$unsorted)) % 15.38/15.85 (define @t49 () (@var "X16" $$unsorted)) % 15.38/15.85 (define @t50 () (tptp.r4 @t49 @t48 @t46)) % 15.38/15.85 (define @t51 () (and @t50 @t47)) % 15.38/15.85 (define @t52 () (not @t47)) % 15.38/15.85 (define @t53 () (not @t50)) % 15.38/15.85 (define @t54 () (and @t53 @t52)) % 15.38/15.85 (define @t55 () (or @t54 @t51)) % 15.38/15.85 (define @t56 () (@list @t46)) % 15.38/15.85 (define @t57 () (forall @t56 @t55)) % 15.38/15.85 (define @t58 () (@list @t45)) % 15.38/15.85 (define @t59 () (exists @t58 @t57)) % 15.38/15.85 (define @t60 () (forall (@list @t49 @t48) @t59)) % 15.38/15.85 (define @t61 () (@var "Y7" $$unsorted)) % 15.38/15.85 (define @t62 () (@var "X8" $$unsorted)) % 15.38/15.85 (define @t63 () (@var "X1" $$unsorted)) % 15.38/15.85 (define @t64 () (tptp.r3 @t63 @t62 @t61)) % 15.38/15.85 (define @t65 () (@var "Y4" $$unsorted)) % 15.38/15.85 (define @t66 () (tptp.r2 @t61 @t65)) % 15.38/15.85 (define @t67 () (and @t66 @t64)) % 15.38/15.85 (define @t68 () (@list @t61)) % 15.38/15.85 (define @t69 () (exists @t68 @t67)) % 15.38/15.85 (define @t70 () (@var "Y5" $$unsorted)) % 15.38/15.85 (define @t71 () (= @t70 @t65)) % 15.38/15.85 (define @t72 () (@var "Y15" $$unsorted)) % 15.38/15.85 (define @t73 () (tptp.r3 @t63 @t72 @t70)) % 15.38/15.85 (define @t74 () (tptp.r2 @t62 @t72)) % 15.38/15.85 (define @t75 () (and @t74 @t73)) % 15.38/15.85 (define @t76 () (@list @t72)) % 15.38/15.85 (define @t77 () (exists @t76 @t75)) % 15.38/15.85 (define @t78 () (and @t77 @t71)) % 15.38/15.85 (define @t79 () (@list @t70)) % 15.38/15.85 (define @t80 () (exists @t79 @t78)) % 15.38/15.85 (define @t81 () (and @t80 @t69)) % 15.38/15.85 (define @t82 () (@list @t65)) % 15.38/15.85 (define @t83 () (exists @t82 @t81)) % 15.38/15.85 (define @t84 () (forall (@list @t63 @t62) @t83)) % 15.38/15.85 (define @t85 () (@var "Y6" $$unsorted)) % 15.38/15.85 (define @t86 () (@var "X9" $$unsorted)) % 15.38/15.85 (define @t87 () (@var "X2" $$unsorted)) % 15.38/15.85 (define @t88 () (tptp.r4 @t87 @t86 @t85)) % 15.38/15.85 (define @t89 () (@var "Y2" $$unsorted)) % 15.38/15.85 (define @t90 () (tptp.r3 @t85 @t87 @t89)) % 15.38/15.85 (define @t91 () (and @t90 @t88)) % 15.38/15.85 (define @t92 () (@list @t85)) % 15.38/15.85 (define @t93 () (exists @t92 @t91)) % 15.38/15.85 (define @t94 () (@var "Y3" $$unsorted)) % 15.38/15.85 (define @t95 () (= @t94 @t89)) % 15.38/15.85 (define @t96 () (@var "Y14" $$unsorted)) % 15.38/15.85 (define @t97 () (tptp.r4 @t87 @t96 @t94)) % 15.38/15.85 (define @t98 () (tptp.r2 @t86 @t96)) % 15.38/15.85 (define @t99 () (and @t98 @t97)) % 15.38/15.85 (define @t100 () (@list @t96)) % 15.38/15.85 (define @t101 () (exists @t100 @t99)) % 15.38/15.85 (define @t102 () (and @t101 @t95)) % 15.38/15.85 (define @t103 () (@list @t94)) % 15.38/15.85 (define @t104 () (exists @t103 @t102)) % 15.38/15.85 (define @t105 () (and @t104 @t93)) % 15.38/15.85 (define @t106 () (@list @t89)) % 15.38/15.85 (define @t107 () (exists @t106 @t105)) % 15.38/15.85 (define @t108 () (forall (@list @t87 @t86) @t107)) % 15.38/15.85 (define @t109 () (@var "X10" $$unsorted)) % 15.38/15.85 (define @t110 () (@var "X3" $$unsorted)) % 15.38/15.85 (define @t111 () (@var "Y12" $$unsorted)) % 15.38/15.85 (define @t112 () (@var "Y13" $$unsorted)) % 15.38/15.85 (define @t113 () (@var "X4" $$unsorted)) % 15.38/15.85 (define @t114 () (@var "Y9" $$unsorted)) % 15.38/15.85 (define @t115 () (= @t114 @t113)) % 15.38/15.85 (define @t116 () (@var "Y16" $$unsorted)) % 15.38/15.85 (define @t117 () (tptp.r3 @t113 @t116 @t114)) % 15.38/15.85 (define @t118 () (tptp.r1 @t116)) % 15.38/15.85 (define @t119 () (and @t118 @t117)) % 15.38/15.85 (define @t120 () (@list @t116)) % 15.38/15.85 (define @t121 () (exists @t120 @t119)) % 15.38/15.85 (define @t122 () (and @t121 @t115)) % 15.38/15.85 (define @t123 () (@list @t114)) % 15.38/15.85 (define @t124 () (exists @t123 @t122)) % 15.38/15.85 (define @t125 () (forall (@list @t113) @t124)) % 15.38/15.85 (define @t126 () (@var "Y18" $$unsorted)) % 15.38/15.85 (define @t127 () (@var "Y8" $$unsorted)) % 15.38/15.85 (define @t128 () (= @t127 @t126)) % 15.38/15.85 (define @t129 () (tptp.r1 @t126)) % 15.38/15.85 (define @t130 () (and @t129 @t128)) % 15.38/15.85 (define @t131 () (@list @t126)) % 15.38/15.85 (define @t132 () (exists @t131 @t130)) % 15.38/15.85 (define @t133 () (@var "Y17" $$unsorted)) % 15.38/15.85 (define @t134 () (@var "X5" $$unsorted)) % 15.38/15.85 (define @t135 () (tptp.r4 @t134 @t133 @t127)) % 15.38/15.85 (define @t136 () (tptp.r1 @t133)) % 15.38/15.85 (define @t137 () (and @t136 @t135)) % 15.38/15.85 (define @t138 () (@list @t133)) % 15.38/15.85 (define @t139 () (exists @t138 @t137)) % 15.38/15.85 (define @t140 () (and @t139 @t132)) % 15.38/15.85 (define @t141 () (@list @t127)) % 15.38/15.85 (define @t142 () (exists @t141 @t140)) % 15.38/15.85 (define @t143 () (forall (@list @t134) @t142)) % 15.38/15.85 (define @t144 () (@var "Y11" $$unsorted)) % 15.38/15.85 (define @t145 () (@var "X6" $$unsorted)) % 15.38/15.85 (define @t146 () (@var "Y1" $$unsorted)) % 15.38/15.85 (define @t147 () (@var "Y19" $$unsorted)) % 15.38/15.85 (define @t148 () (@var "Y10" $$unsorted)) % 15.38/15.85 (define @t149 () (@var "X7" $$unsorted)) % 15.38/15.85 (define @t150 () (@var "Y20" $$unsorted)) % 15.38/15.85 (define @t151 () (tptp.r2 @t114 @t61)) % 15.38/15.85 (define @t152 () (tptp.r1 @t114)) % 15.38/15.85 (define @t153 () (and @t152 @t151)) % 15.38/15.85 (define @t154 () (exists @t123 @t153)) % 15.38/15.85 (define @t155 () (tptp.r2 @t61 @t70)) % 15.38/15.85 (define @t156 () (and @t155 @t154)) % 15.38/15.85 (define @t157 () (exists @t68 @t156)) % 15.38/15.85 (define @t158 () (tptp.r3 @t70 @t70 @t146)) % 15.38/15.85 (define @t159 () (and @t158 @t157)) % 15.38/15.85 (define @t160 () (exists @t79 @t159)) % 15.38/15.85 (define @t161 () (tptp.r2 @t127 @t85)) % 15.38/15.85 (define @t162 () (tptp.r1 @t127)) % 15.38/15.85 (define @t163 () (and @t162 @t161)) % 15.38/15.85 (define @t164 () (exists @t141 @t163)) % 15.38/15.85 (define @t165 () (tptp.r2 @t85 @t65)) % 15.38/15.85 (define @t166 () (and @t165 @t164)) % 15.38/15.85 (define @t167 () (exists @t92 @t166)) % 15.38/15.85 (define @t168 () (tptp.r2 @t65 @t94)) % 15.38/15.85 (define @t169 () (and @t168 @t167)) % 15.38/15.85 (define @t170 () (exists @t82 @t169)) % 15.38/15.85 (define @t171 () (tptp.r2 @t94 @t89)) % 15.38/15.85 (define @t172 () (and @t171 @t170)) % 15.38/15.85 (define @t173 () (exists @t103 @t172)) % 15.38/15.85 (define @t174 () (and (= @t146 @t89) @t173)) % 15.38/15.85 (define @t175 () (exists @t106 @t174)) % 15.38/15.85 (define @t176 () (and @t175 @t160)) % 15.38/15.85 (define @t177 () (@list @t146)) % 15.38/15.85 (define @t178 () (exists @t177 @t176)) % 15.38/15.85 (define @t179 () (not @t178)) % 15.38/15.85 (define @t180 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 15.38/15.85 (define @t181 () (tptp.r1 @t180)) % 15.38/15.85 (define @t182 () (not @t181)) % 15.38/15.85 (define @t183 () (@list @t180)) % 15.38/15.85 (define @t184 () (forall @t183 (or @t182 (and @t181 (= @t1 @t180))))) % 15.38/15.85 (define @t185 () (tptp.r1 @t1)) % 15.38/15.85 (define @t186 () (and @t184 @t185)) % 15.38/15.85 (define @t187 () (forall @t12 (not @t186))) % 15.38/15.85 (define @t188 () (not @t187)) % 15.38/15.85 (define @t189 () (= @t1 @t1)) % 15.38/15.85 (define @t190 () (and @t185 @t189)) % 15.38/15.85 (define @t191 () (not @t189)) % 15.38/15.85 (define @t192 () (or @t191 @t190)) % 15.38/15.85 (define @t193 () (@var "BOUND_VARIABLE_7661" $$unsorted)) % 15.38/15.85 (define @t194 () (= @t1 @t193)) % 15.38/15.85 (define @t195 () (and (tptp.r1 @t193) @t194)) % 15.38/15.85 (define @t196 () (not @t194)) % 15.38/15.85 (define @t197 () (@list @t193)) % 15.38/15.85 (define @t198 () (or @t196 @t196 @t195)) % 15.38/15.85 (define @t199 () (or @t196 @t195)) % 15.38/15.85 (define @t200 () (forall @t197 @t199)) % 15.38/15.85 (define @t201 () (= @t1 @t2)) % 15.38/15.85 (define @t202 () (and @t4 @t201)) % 15.38/15.85 (define @t203 () (not @t201)) % 15.38/15.85 (define @t204 () (or @t203 @t202)) % 15.38/15.85 (define @t205 () (forall @t10 @t204)) % 15.38/15.85 (define @t206 () (@list @t2)) % 15.38/15.85 (define @t207 () (or @t7 @t202)) % 15.38/15.85 (define @t208 () (forall @t10 @t207)) % 15.38/15.85 (define @t209 () (and @t208 @t205)) % 15.38/15.85 (define @t210 () (forall @t12 (or (not @t184) (not @t185)))) % 15.38/15.85 (define @t211 () (@quantifiers_skolemize @t210 0)) % 15.38/15.85 (define @t212 () (tptp.r1 @t211)) % 15.38/15.85 (define @t213 () (not @t212)) % 15.38/15.85 (define @t214 () (forall @t183 (or @t182 (and @t181 (= @t180 @t211))))) % 15.38/15.85 (define @t215 () (not @t214)) % 15.38/15.85 (define @t216 () (or @t215 @t213)) % 15.38/15.85 (define @t217 () (not @t216)) % 15.38/15.85 (define @t218 () (not @t210)) % 15.38/15.85 (define @t219 () (and @t181 (= @t211 @t180))) % 15.38/15.85 (define @t220 () (or @t182 @t219)) % 15.38/15.85 (define @t221 () (forall @t183 @t220)) % 15.38/15.85 (define @t222 () (not @t221)) % 15.38/15.85 (define @t223 () (or @t222 @t213)) % 15.38/15.85 (define @t224 () (not @t223)) % 15.38/15.85 (define @t225 () (@list true)) % 15.38/15.85 (define @t226 () (@list @t216)) % 15.38/15.85 (define @t227 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 15.38/15.85 (define @t228 () (= @t14 @t227)) % 15.38/15.85 (define @t229 () (tptp.r2 @t17 @t227)) % 15.38/15.85 (define @t230 () (@list @t227)) % 15.38/15.85 (define @t231 () (forall @t230 (or (not @t229) (and @t229 @t228)))) % 15.38/15.85 (define @t232 () (tptp.r2 @t17 @t14)) % 15.38/15.85 (define @t233 () (and @t231 @t232)) % 15.38/15.85 (define @t234 () (forall @t26 (not @t233))) % 15.38/15.85 (define @t235 () (not @t234)) % 15.38/15.85 (define @t236 () (= @t14 @t14)) % 15.38/15.85 (define @t237 () (and @t232 @t236)) % 15.38/15.85 (define @t238 () (not @t236)) % 15.38/15.85 (define @t239 () (or @t238 @t237)) % 15.38/15.85 (define @t240 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 15.38/15.85 (define @t241 () (= @t14 @t240)) % 15.38/15.85 (define @t242 () (and (tptp.r2 @t17 @t240) @t241)) % 15.38/15.85 (define @t243 () (not @t241)) % 15.38/15.85 (define @t244 () (@list @t240)) % 15.38/15.85 (define @t245 () (or @t243 @t243 @t242)) % 15.38/15.85 (define @t246 () (or @t243 @t242)) % 15.38/15.85 (define @t247 () (forall @t244 @t246)) % 15.38/15.85 (define @t248 () (= @t14 @t15)) % 15.38/15.85 (define @t249 () (and @t18 @t248)) % 15.38/15.85 (define @t250 () (not @t248)) % 15.38/15.85 (define @t251 () (or @t250 @t249)) % 15.38/15.85 (define @t252 () (forall @t24 @t251)) % 15.38/15.85 (define @t253 () (@list @t15)) % 15.38/15.85 (define @t254 () (or @t21 @t249)) % 15.38/15.85 (define @t255 () (forall @t24 @t254)) % 15.38/15.85 (define @t256 () (and @t255 @t252)) % 15.38/15.85 (define @t257 () (@list @t211)) % 15.38/15.85 (define @t258 () (tptp.r2 @t211 @t227)) % 15.38/15.85 (define @t259 () (not @t258)) % 15.38/15.85 (define @t260 () (forall @t26 (or (not (forall @t230 (or @t259 (and @t258 @t228)))) (not (tptp.r2 @t211 @t14))))) % 15.38/15.85 (define @t261 () (@quantifiers_skolemize @t260 0)) % 15.38/15.85 (define @t262 () (tptp.r2 @t211 @t261)) % 15.38/15.85 (define @t263 () (not @t262)) % 15.38/15.85 (define @t264 () (forall @t230 (or @t259 (and @t258 (= @t227 @t261))))) % 15.38/15.85 (define @t265 () (not @t264)) % 15.38/15.85 (define @t266 () (or @t265 @t263)) % 15.38/15.85 (define @t267 () (not @t266)) % 15.38/15.85 (define @t268 () (not @t260)) % 15.38/15.85 (define @t269 () (and @t258 (= @t261 @t227))) % 15.38/15.85 (define @t270 () (or @t259 @t269)) % 15.38/15.85 (define @t271 () (forall @t230 @t270)) % 15.38/15.85 (define @t272 () (not @t271)) % 15.38/15.85 (define @t273 () (or @t272 @t263)) % 15.38/15.85 (define @t274 () (not @t273)) % 15.38/15.85 (define @t275 () (@list @t266)) % 15.38/15.85 (define @t276 () (@list @t261)) % 15.38/15.85 (define @t277 () (tptp.r2 @t261 @t227)) % 15.38/15.85 (define @t278 () (not @t277)) % 15.38/15.85 (define @t279 () (forall @t26 (or (not (forall @t230 (or @t278 (and @t277 @t228)))) (not (tptp.r2 @t261 @t14))))) % 15.38/15.85 (define @t280 () (@quantifiers_skolemize @t279 0)) % 15.38/15.85 (define @t281 () (tptp.r2 @t261 @t280)) % 15.38/15.85 (define @t282 () (not @t281)) % 15.38/15.85 (define @t283 () (forall @t230 (or @t278 (and @t277 (= @t227 @t280))))) % 15.38/15.85 (define @t284 () (not @t283)) % 15.38/15.85 (define @t285 () (or @t284 @t282)) % 15.38/15.85 (define @t286 () (not @t285)) % 15.38/15.85 (define @t287 () (not @t279)) % 15.38/15.85 (define @t288 () (and @t277 (= @t280 @t227))) % 15.38/15.85 (define @t289 () (or @t278 @t288)) % 15.38/15.85 (define @t290 () (forall @t230 @t289)) % 15.38/15.85 (define @t291 () (not @t290)) % 15.38/15.85 (define @t292 () (or @t291 @t282)) % 15.38/15.85 (define @t293 () (not @t292)) % 15.38/15.85 (define @t294 () (@list @t285)) % 15.38/15.85 (define @t295 () (@list @t280)) % 15.38/15.85 (define @t296 () (tptp.r2 @t280 @t227)) % 15.38/15.85 (define @t297 () (not @t296)) % 15.38/15.85 (define @t298 () (forall @t26 (or (not (forall @t230 (or @t297 (and @t296 @t228)))) (not (tptp.r2 @t280 @t14))))) % 15.38/15.85 (define @t299 () (@quantifiers_skolemize @t298 0)) % 15.38/15.85 (define @t300 () (tptp.r2 @t280 @t299)) % 15.38/15.85 (define @t301 () (not @t300)) % 15.38/15.85 (define @t302 () (forall @t230 (or @t297 (and @t296 (= @t227 @t299))))) % 15.38/15.85 (define @t303 () (not @t302)) % 15.38/15.85 (define @t304 () (or @t303 @t301)) % 15.38/15.85 (define @t305 () (not @t304)) % 15.38/15.85 (define @t306 () (not @t298)) % 15.38/15.85 (define @t307 () (and @t296 (= @t299 @t227))) % 15.38/15.85 (define @t308 () (or @t297 @t307)) % 15.38/15.85 (define @t309 () (forall @t230 @t308)) % 15.38/15.85 (define @t310 () (not @t309)) % 15.38/15.85 (define @t311 () (or @t310 @t301)) % 15.38/15.85 (define @t312 () (not @t311)) % 15.38/15.85 (define @t313 () (@list @t304)) % 15.38/15.85 (define @t314 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 15.38/15.85 (define @t315 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 15.38/15.85 (define @t316 () (not (tptp.r2 @t315 @t314))) % 15.38/15.85 (define @t317 () (not (tptp.r1 @t315))) % 15.38/15.85 (define @t318 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 15.38/15.85 (define @t319 () (not (tptp.r2 @t314 @t318))) % 15.38/15.85 (define @t320 () (not (tptp.r3 @t318 @t318 @t146))) % 15.38/15.85 (define @t321 () (@var "BOUND_VARIABLE_8334" $$unsorted)) % 15.38/15.85 (define @t322 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 15.38/15.85 (define @t323 () (not (tptp.r2 @t322 @t321))) % 15.38/15.85 (define @t324 () (not (tptp.r1 @t322))) % 15.38/15.85 (define @t325 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 15.38/15.85 (define @t326 () (not (tptp.r2 @t321 @t325))) % 15.38/15.85 (define @t327 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 15.38/15.85 (define @t328 () (not (tptp.r2 @t325 @t327))) % 15.38/15.85 (define @t329 () (not (tptp.r2 @t327 @t146))) % 15.38/15.85 (define @t330 () (or @t329 @t328 @t326 @t324 @t323 @t320 @t319 @t317 @t316)) % 15.38/15.85 (define @t331 () (@list @t146 @t327 @t325 @t321 @t322 @t318 @t314 @t315)) % 15.38/15.85 (define @t332 () (or @t320 @t319 @t317 @t316)) % 15.38/15.85 (define @t333 () (or @t329 @t328 @t326 @t324 @t323)) % 15.38/15.85 (define @t334 () (or @t333 @t332)) % 15.38/15.85 (define @t335 () (forall @t331 @t334)) % 15.38/15.85 (define @t336 () (forall (@list @t327 @t325 @t321 @t322 @t318 @t314 @t315) @t334)) % 15.38/15.85 (define @t337 () (forall (@list @t318 @t314 @t315) @t332)) % 15.38/15.85 (define @t338 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 15.38/15.85 (define @t339 () (@var "BOUND_VARIABLE_8306" $$unsorted)) % 15.38/15.85 (define @t340 () (forall (@list @t327 @t325 @t321 @t322) @t333)) % 15.38/15.85 (define @t341 () (@var "BOUND_VARIABLE_8240" $$unsorted)) % 15.38/15.85 (define @t342 () (@var "BOUND_VARIABLE_8238" $$unsorted)) % 15.38/15.85 (define @t343 () (@var "BOUND_VARIABLE_8236" $$unsorted)) % 15.38/15.85 (define @t344 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 15.38/15.85 (define @t345 () (@list @t344 @t343 @t342 @t341)) % 15.38/15.85 (define @t346 () (or @t340 @t337)) % 15.38/15.85 (define @t347 () (not (tptp.r2 @t338 @t339))) % 15.38/15.85 (define @t348 () (not (tptp.r1 @t338))) % 15.38/15.85 (define @t349 () (not (tptp.r2 @t339 @t70))) % 15.38/15.85 (define @t350 () (not @t158)) % 15.38/15.85 (define @t351 () (or @t350 @t349 @t348 @t347)) % 15.38/15.85 (define @t352 () (@list @t70 @t339 @t338)) % 15.38/15.85 (define @t353 () (forall @t352 @t351)) % 15.38/15.85 (define @t354 () (not (tptp.r2 @t341 @t342))) % 15.38/15.85 (define @t355 () (not (tptp.r1 @t341))) % 15.38/15.85 (define @t356 () (not (tptp.r2 @t342 @t343))) % 15.38/15.85 (define @t357 () (not (tptp.r2 @t343 @t344))) % 15.38/15.85 (define @t358 () (not (tptp.r2 @t344 @t146))) % 15.38/15.85 (define @t359 () (or @t358 @t357 @t356 @t355 @t354)) % 15.38/15.85 (define @t360 () (@list @t344 @t343 @t342 @t341)) % 15.38/15.85 (define @t361 () (forall @t360 @t359)) % 15.38/15.85 (define @t362 () (not @t353)) % 15.38/15.85 (define @t363 () (not @t361)) % 15.38/15.85 (define @t364 () (and @t363 @t362)) % 15.38/15.85 (define @t365 () (forall @t177 (not @t364))) % 15.38/15.85 (define @t366 () (not @t365)) % 15.38/15.85 (define @t367 () (or @t349 @t348 @t347)) % 15.38/15.85 (define @t368 () (or @t350 @t367)) % 15.38/15.85 (define @t369 () (forall @t352 @t368)) % 15.38/15.85 (define @t370 () (@list @t339 @t338)) % 15.38/15.85 (define @t371 () (forall @t370 @t368)) % 15.38/15.85 (define @t372 () (forall @t370 @t367)) % 15.38/15.85 (define @t373 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 15.38/15.85 (define @t374 () (or @t350 @t372)) % 15.38/15.85 (define @t375 () (not (tptp.r2 @t373 @t61))) % 15.38/15.85 (define @t376 () (not (tptp.r1 @t373))) % 15.38/15.85 (define @t377 () (not @t155)) % 15.38/15.85 (define @t378 () (or @t377 @t376 @t375)) % 15.38/15.85 (define @t379 () (@list @t61 @t373)) % 15.38/15.85 (define @t380 () (forall @t379 @t378)) % 15.38/15.85 (define @t381 () (not @t380)) % 15.38/15.85 (define @t382 () (and @t158 @t381)) % 15.38/15.85 (define @t383 () (forall @t79 (not @t382))) % 15.38/15.85 (define @t384 () (not @t383)) % 15.38/15.85 (define @t385 () (or @t376 @t375)) % 15.38/15.85 (define @t386 () (or @t377 @t385)) % 15.38/15.85 (define @t387 () (forall @t379 @t386)) % 15.38/15.85 (define @t388 () (@list @t373)) % 15.38/15.85 (define @t389 () (forall @t388 @t386)) % 15.38/15.85 (define @t390 () (forall @t388 @t385)) % 15.38/15.85 (define @t391 () (or @t377 @t390)) % 15.38/15.85 (define @t392 () (forall @t123 (or (not @t152) (not @t151)))) % 15.38/15.85 (define @t393 () (not @t392)) % 15.38/15.85 (define @t394 () (and @t155 @t393)) % 15.38/15.85 (define @t395 () (forall @t68 (not @t394))) % 15.38/15.85 (define @t396 () (not @t395)) % 15.38/15.85 (define @t397 () (forall @t123 (not @t153))) % 15.38/15.85 (define @t398 () (not @t397)) % 15.38/15.85 (define @t399 () (not (= @t146 @t146))) % 15.38/15.85 (define @t400 () (or @t399 @t358 @t357 @t356 @t355 @t354)) % 15.38/15.85 (define @t401 () (not (tptp.r2 @t344 @t89))) % 15.38/15.85 (define @t402 () (= @t89 @t146)) % 15.38/15.85 (define @t403 () (not @t402)) % 15.38/15.85 (define @t404 () (or @t403 @t403 @t401 @t357 @t356 @t355 @t354)) % 15.38/15.85 (define @t405 () (or @t403 @t401 @t357 @t356 @t355 @t354)) % 15.38/15.85 (define @t406 () (forall @t106 @t405)) % 15.38/15.85 (define @t407 () (forall @t360 @t406)) % 15.38/15.85 (define @t408 () (forall (@list @t344 @t343 @t342 @t341 @t89) @t405)) % 15.38/15.85 (define @t409 () (@list @t89 @t344 @t343 @t342 @t341)) % 15.38/15.85 (define @t410 () (or @t401 @t357 @t356 @t355 @t354)) % 15.38/15.85 (define @t411 () (or @t403 @t410)) % 15.38/15.85 (define @t412 () (forall @t409 @t411)) % 15.38/15.85 (define @t413 () (forall @t360 @t411)) % 15.38/15.85 (define @t414 () (forall @t360 @t410)) % 15.38/15.85 (define @t415 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 15.38/15.85 (define @t416 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 15.38/15.85 (define @t417 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 15.38/15.85 (define @t418 () (or @t403 @t414)) % 15.38/15.85 (define @t419 () (not (tptp.r2 @t415 @t416))) % 15.38/15.85 (define @t420 () (not (tptp.r1 @t415))) % 15.38/15.85 (define @t421 () (not (tptp.r2 @t416 @t417))) % 15.38/15.85 (define @t422 () (not (tptp.r2 @t417 @t94))) % 15.38/15.85 (define @t423 () (not @t171)) % 15.38/15.85 (define @t424 () (or @t423 @t422 @t421 @t420 @t419)) % 15.38/15.85 (define @t425 () (@list @t94 @t417 @t416 @t415)) % 15.38/15.85 (define @t426 () (forall @t425 @t424)) % 15.38/15.85 (define @t427 () (not @t426)) % 15.38/15.85 (define @t428 () (and @t402 @t427)) % 15.38/15.85 (define @t429 () (forall @t106 (not @t428))) % 15.38/15.85 (define @t430 () (not @t429)) % 15.38/15.85 (define @t431 () (or @t422 @t421 @t420 @t419)) % 15.38/15.85 (define @t432 () (or @t423 @t431)) % 15.38/15.85 (define @t433 () (forall @t425 @t432)) % 15.38/15.85 (define @t434 () (@list @t417 @t416 @t415)) % 15.38/15.85 (define @t435 () (forall @t434 @t432)) % 15.38/15.85 (define @t436 () (forall @t434 @t431)) % 15.38/15.85 (define @t437 () (@var "BOUND_VARIABLE_8182" $$unsorted)) % 15.38/15.85 (define @t438 () (@var "BOUND_VARIABLE_8180" $$unsorted)) % 15.38/15.85 (define @t439 () (or @t423 @t436)) % 15.38/15.85 (define @t440 () (not (tptp.r2 @t437 @t438))) % 15.38/15.85 (define @t441 () (not (tptp.r1 @t437))) % 15.38/15.85 (define @t442 () (not (tptp.r2 @t438 @t65))) % 15.38/15.85 (define @t443 () (not @t168)) % 15.38/15.85 (define @t444 () (or @t443 @t442 @t441 @t440)) % 15.38/15.85 (define @t445 () (@list @t65 @t438 @t437)) % 15.38/15.85 (define @t446 () (forall @t445 @t444)) % 15.38/15.85 (define @t447 () (not @t446)) % 15.38/15.85 (define @t448 () (and @t171 @t447)) % 15.38/15.85 (define @t449 () (forall @t103 (not @t448))) % 15.38/15.85 (define @t450 () (not @t449)) % 15.38/15.85 (define @t451 () (or @t442 @t441 @t440)) % 15.38/15.85 (define @t452 () (or @t443 @t451)) % 15.38/15.85 (define @t453 () (forall @t445 @t452)) % 15.38/15.85 (define @t454 () (@list @t438 @t437)) % 15.38/15.85 (define @t455 () (forall @t454 @t452)) % 15.38/15.85 (define @t456 () (forall @t454 @t451)) % 15.38/15.85 (define @t457 () (@var "BOUND_VARIABLE_8159" $$unsorted)) % 15.38/15.85 (define @t458 () (or @t443 @t456)) % 15.38/15.85 (define @t459 () (not (tptp.r2 @t457 @t85))) % 15.38/15.85 (define @t460 () (not (tptp.r1 @t457))) % 15.38/15.85 (define @t461 () (not @t165)) % 15.38/15.85 (define @t462 () (or @t461 @t460 @t459)) % 15.38/15.85 (define @t463 () (@list @t85 @t457)) % 15.38/15.85 (define @t464 () (forall @t463 @t462)) % 15.38/15.85 (define @t465 () (not @t464)) % 15.38/15.85 (define @t466 () (and @t168 @t465)) % 15.38/15.85 (define @t467 () (forall @t82 (not @t466))) % 15.38/15.85 (define @t468 () (not @t467)) % 15.38/15.85 (define @t469 () (or @t460 @t459)) % 15.38/15.85 (define @t470 () (or @t461 @t469)) % 15.38/15.85 (define @t471 () (forall @t463 @t470)) % 15.38/15.85 (define @t472 () (@list @t457)) % 15.38/15.85 (define @t473 () (forall @t472 @t470)) % 15.38/15.85 (define @t474 () (forall @t472 @t469)) % 15.38/15.85 (define @t475 () (or @t461 @t474)) % 15.38/15.85 (define @t476 () (not @t162)) % 15.38/15.85 (define @t477 () (forall @t141 (or @t476 (not @t161)))) % 15.38/15.85 (define @t478 () (not @t477)) % 15.38/15.85 (define @t479 () (and @t165 @t478)) % 15.38/15.85 (define @t480 () (forall @t92 (not @t479))) % 15.38/15.85 (define @t481 () (not @t480)) % 15.38/15.85 (define @t482 () (forall @t141 (not @t163))) % 15.38/15.85 (define @t483 () (not @t482)) % 15.38/15.85 (define @t484 () (@var "BOUND_VARIABLE_7895" $$unsorted)) % 15.38/15.85 (define @t485 () (not (tptp.r2 @t484 @t65))) % 15.38/15.85 (define @t486 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 15.38/15.85 (define @t487 () (not (tptp.r3 @t280 @t486 @t65))) % 15.38/15.85 (define @t488 () (@list @t65 @t486 @t484)) % 15.38/15.85 (define @t489 () (forall @t488 (or (not (tptp.r2 @t261 @t486)) @t487 @t485 (not (tptp.r3 @t280 @t261 @t484))))) % 15.38/15.85 (define @t490 () (@quantifiers_skolemize @t489 0)) % 15.38/15.85 (define @t491 () (not (tptp.r3 @t63 @t62 @t484))) % 15.38/15.85 (define @t492 () (not (tptp.r3 @t63 @t486 @t65))) % 15.38/15.85 (define @t493 () (not (tptp.r2 @t62 @t486))) % 15.38/15.85 (define @t494 () (or @t485 @t491)) % 15.38/15.85 (define @t495 () (or @t493 @t492)) % 15.38/15.85 (define @t496 () (or @t495 @t494)) % 15.38/15.85 (define @t497 () (forall @t488 @t496)) % 15.38/15.85 (define @t498 () (forall (@list @t486 @t484) @t496)) % 15.38/15.85 (define @t499 () (forall (@list @t484) @t494)) % 15.38/15.85 (define @t500 () (forall (@list @t486) @t495)) % 15.38/15.85 (define @t501 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 15.38/15.85 (define @t502 () (@list @t501)) % 15.38/15.85 (define @t503 () (or @t500 @t499)) % 15.38/15.85 (define @t504 () (forall @t68 (or (not @t66) (not @t64)))) % 15.38/15.85 (define @t505 () (not (tptp.r3 @t63 @t501 @t65))) % 15.38/15.85 (define @t506 () (not (tptp.r2 @t62 @t501))) % 15.38/15.85 (define @t507 () (or @t506 @t505)) % 15.38/15.85 (define @t508 () (@list @t501)) % 15.38/15.85 (define @t509 () (forall @t508 @t507)) % 15.38/15.85 (define @t510 () (not @t504)) % 15.38/15.85 (define @t511 () (not @t509)) % 15.38/15.85 (define @t512 () (and @t511 @t510)) % 15.38/15.85 (define @t513 () (forall @t82 (not @t512))) % 15.38/15.85 (define @t514 () (not @t513)) % 15.38/15.85 (define @t515 () (forall @t68 (not @t67))) % 15.38/15.85 (define @t516 () (not @t515)) % 15.38/15.85 (define @t517 () (not (= @t65 @t65))) % 15.38/15.85 (define @t518 () (or @t517 @t506 @t505)) % 15.38/15.85 (define @t519 () (not (tptp.r3 @t63 @t501 @t70))) % 15.38/15.85 (define @t520 () (= @t65 @t70)) % 15.38/15.85 (define @t521 () (not @t520)) % 15.38/15.85 (define @t522 () (or @t521 @t521 @t506 @t519)) % 15.38/15.85 (define @t523 () (or @t521 @t506 @t519)) % 15.38/15.85 (define @t524 () (forall @t79 @t523)) % 15.38/15.85 (define @t525 () (forall @t508 @t524)) % 15.38/15.85 (define @t526 () (forall (@list @t501 @t70) @t523)) % 15.38/15.85 (define @t527 () (@list @t70 @t501)) % 15.38/15.85 (define @t528 () (or @t506 @t519)) % 15.38/15.85 (define @t529 () (or @t528 @t521)) % 15.38/15.85 (define @t530 () (forall @t527 @t529)) % 15.38/15.85 (define @t531 () (forall @t508 @t529)) % 15.38/15.85 (define @t532 () (forall @t508 @t528)) % 15.38/15.85 (define @t533 () (or @t532 @t521)) % 15.38/15.85 (define @t534 () (forall @t76 (or (not @t74) (not @t73)))) % 15.38/15.85 (define @t535 () (not @t534)) % 15.38/15.85 (define @t536 () (and @t535 @t520)) % 15.38/15.85 (define @t537 () (forall @t79 (not @t536))) % 15.38/15.85 (define @t538 () (not @t537)) % 15.38/15.85 (define @t539 () (forall @t76 (not @t75))) % 15.38/15.85 (define @t540 () (not @t539)) % 15.38/15.85 (define @t541 () (@list @t280 @t261)) % 15.38/15.85 (define @t542 () (@quantifiers_skolemize @t489 1)) % 15.38/15.85 (define @t543 () (tptp.r3 @t280 @t542 @t490)) % 15.38/15.85 (define @t544 () (@quantifiers_skolemize @t489 2)) % 15.38/15.85 (define @t545 () (tptp.r3 @t280 @t261 @t544)) % 15.38/15.85 (define @t546 () (not @t545)) % 15.38/15.85 (define @t547 () (tptp.r2 @t544 @t490)) % 15.38/15.85 (define @t548 () (not @t547)) % 15.38/15.85 (define @t549 () (not @t543)) % 15.38/15.85 (define @t550 () (tptp.r2 @t261 @t542)) % 15.38/15.85 (define @t551 () (not @t550)) % 15.38/15.85 (define @t552 () (or @t551 @t549 @t548 @t546)) % 15.38/15.85 (define @t553 () (@list @t552)) % 15.38/15.85 (define @t554 () (and @t550 (= @t542 @t280))) % 15.38/15.85 (define @t555 () (or @t551 @t554)) % 15.38/15.85 (define @t556 () (= @t280 @t542)) % 15.38/15.85 (define @t557 () (and @t550 @t556)) % 15.38/15.85 (define @t558 () (or @t551 @t557)) % 15.38/15.85 (define @t559 () (@list false)) % 15.38/15.85 (define @t560 () (@list @t283)) % 15.38/15.85 (define @t561 () (@list false false)) % 15.38/15.85 (define @t562 () (tptp.r3 @t280 @t280 @t490)) % 15.38/15.85 (define @t563 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 15.38/15.85 (define @t564 () (= @t29 @t563)) % 15.38/15.85 (define @t565 () (tptp.r3 @t33 @t32 @t563)) % 15.38/15.85 (define @t566 () (@list @t563)) % 15.38/15.85 (define @t567 () (forall @t566 (or (not @t565) (and @t565 @t564)))) % 15.38/15.85 (define @t568 () (tptp.r3 @t33 @t32 @t29)) % 15.38/15.85 (define @t569 () (and @t567 @t568)) % 15.38/15.85 (define @t570 () (forall @t42 (not @t569))) % 15.38/15.85 (define @t571 () (not @t570)) % 15.38/15.85 (define @t572 () (= @t29 @t29)) % 15.38/15.85 (define @t573 () (and @t568 @t572)) % 15.38/15.85 (define @t574 () (not @t572)) % 15.38/15.85 (define @t575 () (or @t574 @t573)) % 15.38/15.85 (define @t576 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 15.38/15.85 (define @t577 () (= @t29 @t576)) % 15.38/15.85 (define @t578 () (and (tptp.r3 @t33 @t32 @t576) @t577)) % 15.38/15.85 (define @t579 () (not @t577)) % 15.38/15.85 (define @t580 () (@list @t576)) % 15.38/15.85 (define @t581 () (or @t579 @t579 @t578)) % 15.38/15.85 (define @t582 () (or @t579 @t578)) % 15.38/15.85 (define @t583 () (forall @t580 @t582)) % 15.38/15.85 (define @t584 () (= @t29 @t30)) % 15.38/15.85 (define @t585 () (and @t34 @t584)) % 15.38/15.85 (define @t586 () (not @t584)) % 15.38/15.85 (define @t587 () (or @t586 @t585)) % 15.38/15.85 (define @t588 () (forall @t40 @t587)) % 15.38/15.85 (define @t589 () (@list @t30)) % 15.38/15.85 (define @t590 () (or @t37 @t585)) % 15.38/15.85 (define @t591 () (forall @t40 @t590)) % 15.38/15.85 (define @t592 () (and @t591 @t588)) % 15.38/15.85 (define @t593 () (tptp.r3 @t280 @t261 @t563)) % 15.38/15.85 (define @t594 () (not @t593)) % 15.38/15.85 (define @t595 () (forall @t42 (or (not (forall @t566 (or @t594 (and @t593 @t564)))) (not (tptp.r3 @t280 @t261 @t29))))) % 15.38/15.85 (define @t596 () (@quantifiers_skolemize @t595 0)) % 15.38/15.85 (define @t597 () (not (tptp.r3 @t280 @t261 @t596))) % 15.38/15.85 (define @t598 () (forall @t566 (or @t594 (and @t593 (= @t563 @t596))))) % 15.38/15.85 (define @t599 () (not @t598)) % 15.38/15.85 (define @t600 () (or @t599 @t597)) % 15.38/15.85 (define @t601 () (not @t600)) % 15.38/15.85 (define @t602 () (not @t595)) % 15.38/15.85 (define @t603 () (and @t593 (= @t596 @t563))) % 15.38/15.85 (define @t604 () (or @t594 @t603)) % 15.38/15.85 (define @t605 () (forall @t566 @t604)) % 15.38/15.85 (define @t606 () (not @t605)) % 15.38/15.85 (define @t607 () (or @t606 @t597)) % 15.38/15.85 (define @t608 () (not @t607)) % 15.38/15.85 (define @t609 () (and @t545 (= @t544 @t596))) % 15.38/15.85 (define @t610 () (or @t546 @t609)) % 15.38/15.85 (define @t611 () (= @t596 @t544)) % 15.38/15.85 (define @t612 () (and @t545 @t611)) % 15.38/15.85 (define @t613 () (or @t546 @t612)) % 15.38/15.85 (define @t614 () (@var "BOUND_VARIABLE_7972" $$unsorted)) % 15.38/15.85 (define @t615 () (not (tptp.r3 @t614 @t261 @t89))) % 15.38/15.85 (define @t616 () (@var "BOUND_VARIABLE_7965" $$unsorted)) % 15.38/15.85 (define @t617 () (not (tptp.r4 @t261 @t616 @t89))) % 15.38/15.85 (define @t618 () (@list @t89 @t616 @t614)) % 15.38/15.85 (define @t619 () (forall @t618 (or (not (tptp.r2 @t280 @t616)) @t617 @t615 (not (tptp.r4 @t261 @t280 @t614))))) % 15.38/15.85 (define @t620 () (@quantifiers_skolemize @t619 0)) % 15.38/15.85 (define @t621 () (not (tptp.r4 @t87 @t86 @t614))) % 15.38/15.85 (define @t622 () (not (tptp.r3 @t614 @t87 @t89))) % 15.38/15.85 (define @t623 () (not (tptp.r4 @t87 @t616 @t89))) % 15.38/15.85 (define @t624 () (not (tptp.r2 @t86 @t616))) % 15.38/15.85 (define @t625 () (or @t622 @t621)) % 15.38/15.85 (define @t626 () (or @t624 @t623)) % 15.38/15.85 (define @t627 () (or @t626 @t625)) % 15.38/15.85 (define @t628 () (forall @t618 @t627)) % 15.38/15.85 (define @t629 () (forall (@list @t616 @t614) @t627)) % 15.38/15.85 (define @t630 () (forall (@list @t614) @t625)) % 15.38/15.85 (define @t631 () (forall (@list @t616) @t626)) % 15.38/15.85 (define @t632 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 15.38/15.85 (define @t633 () (@list @t632)) % 15.38/15.85 (define @t634 () (or @t631 @t630)) % 15.38/15.85 (define @t635 () (forall @t92 (or (not @t90) (not @t88)))) % 15.38/15.85 (define @t636 () (not (tptp.r4 @t87 @t632 @t89))) % 15.38/15.85 (define @t637 () (not (tptp.r2 @t86 @t632))) % 15.38/15.85 (define @t638 () (or @t637 @t636)) % 15.38/15.85 (define @t639 () (@list @t632)) % 15.38/15.85 (define @t640 () (forall @t639 @t638)) % 15.38/15.85 (define @t641 () (not @t635)) % 15.38/15.85 (define @t642 () (not @t640)) % 15.38/15.85 (define @t643 () (and @t642 @t641)) % 15.38/15.85 (define @t644 () (forall @t106 (not @t643))) % 15.38/15.85 (define @t645 () (not @t644)) % 15.38/15.85 (define @t646 () (forall @t92 (not @t91))) % 15.38/15.85 (define @t647 () (not @t646)) % 15.38/15.85 (define @t648 () (not (= @t89 @t89))) % 15.38/15.85 (define @t649 () (or @t648 @t637 @t636)) % 15.38/15.85 (define @t650 () (not (tptp.r4 @t87 @t632 @t94))) % 15.38/15.85 (define @t651 () (= @t89 @t94)) % 15.38/15.85 (define @t652 () (not @t651)) % 15.38/15.85 (define @t653 () (or @t652 @t652 @t637 @t650)) % 15.38/15.85 (define @t654 () (or @t652 @t637 @t650)) % 15.38/15.85 (define @t655 () (forall @t103 @t654)) % 15.38/15.85 (define @t656 () (forall @t639 @t655)) % 15.38/15.85 (define @t657 () (forall (@list @t632 @t94) @t654)) % 15.38/15.85 (define @t658 () (@list @t94 @t632)) % 15.38/15.85 (define @t659 () (or @t637 @t650)) % 15.38/15.85 (define @t660 () (or @t659 @t652)) % 15.38/15.85 (define @t661 () (forall @t658 @t660)) % 15.38/15.85 (define @t662 () (forall @t639 @t660)) % 15.38/15.85 (define @t663 () (forall @t639 @t659)) % 15.38/15.85 (define @t664 () (or @t663 @t652)) % 15.38/15.85 (define @t665 () (forall @t100 (or (not @t98) (not @t97)))) % 15.38/15.85 (define @t666 () (not @t665)) % 15.38/15.85 (define @t667 () (and @t666 @t651)) % 15.38/15.85 (define @t668 () (forall @t103 (not @t667))) % 15.38/15.85 (define @t669 () (not @t668)) % 15.38/15.85 (define @t670 () (forall @t100 (not @t99))) % 15.38/15.85 (define @t671 () (not @t670)) % 15.38/15.85 (define @t672 () (@list @t261 @t280)) % 15.38/15.85 (define @t673 () (@quantifiers_skolemize @t619 2)) % 15.38/15.85 (define @t674 () (tptp.r3 @t673 @t261 @t620)) % 15.38/15.85 (define @t675 () (tptp.r4 @t261 @t280 @t673)) % 15.38/15.85 (define @t676 () (not @t675)) % 15.38/15.85 (define @t677 () (not @t674)) % 15.38/15.85 (define @t678 () (@quantifiers_skolemize @t619 1)) % 15.38/15.85 (define @t679 () (or (not (tptp.r2 @t280 @t678)) (not (tptp.r4 @t261 @t678 @t620)) @t677 @t676)) % 15.38/15.85 (define @t680 () (@list @t679)) % 15.38/15.85 (define @t681 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 15.38/15.85 (define @t682 () (= @t45 @t681)) % 15.38/15.85 (define @t683 () (tptp.r4 @t49 @t48 @t681)) % 15.38/15.85 (define @t684 () (@list @t681)) % 15.38/15.85 (define @t685 () (forall @t684 (or (not @t683) (and @t683 @t682)))) % 15.38/15.85 (define @t686 () (tptp.r4 @t49 @t48 @t45)) % 15.38/15.85 (define @t687 () (and @t685 @t686)) % 15.38/15.85 (define @t688 () (forall @t58 (not @t687))) % 15.38/15.85 (define @t689 () (not @t688)) % 15.38/15.85 (define @t690 () (= @t45 @t45)) % 15.38/15.85 (define @t691 () (and @t686 @t690)) % 15.38/15.85 (define @t692 () (not @t690)) % 15.38/15.85 (define @t693 () (or @t692 @t691)) % 15.38/15.85 (define @t694 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 15.38/15.85 (define @t695 () (= @t45 @t694)) % 15.38/15.85 (define @t696 () (and (tptp.r4 @t49 @t48 @t694) @t695)) % 15.38/15.85 (define @t697 () (not @t695)) % 15.38/15.85 (define @t698 () (@list @t694)) % 15.38/15.85 (define @t699 () (or @t697 @t697 @t696)) % 15.38/15.85 (define @t700 () (or @t697 @t696)) % 15.38/15.85 (define @t701 () (forall @t698 @t700)) % 15.38/15.85 (define @t702 () (= @t45 @t46)) % 15.38/15.85 (define @t703 () (and @t50 @t702)) % 15.38/15.85 (define @t704 () (not @t702)) % 15.38/15.85 (define @t705 () (or @t704 @t703)) % 15.38/15.85 (define @t706 () (forall @t56 @t705)) % 15.38/15.85 (define @t707 () (@list @t46)) % 15.38/15.85 (define @t708 () (or @t53 @t703)) % 15.38/15.85 (define @t709 () (forall @t56 @t708)) % 15.38/15.85 (define @t710 () (and @t709 @t706)) % 15.38/15.85 (define @t711 () (tptp.r4 @t261 @t280 @t681)) % 15.38/15.85 (define @t712 () (not @t711)) % 15.38/15.85 (define @t713 () (forall @t58 (or (not (forall @t684 (or @t712 (and @t711 @t682)))) (not (tptp.r4 @t261 @t280 @t45))))) % 15.38/15.85 (define @t714 () (@quantifiers_skolemize @t713 0)) % 15.38/15.85 (define @t715 () (not (tptp.r4 @t261 @t280 @t714))) % 15.38/15.85 (define @t716 () (forall @t684 (or @t712 (and @t711 (= @t681 @t714))))) % 15.38/15.85 (define @t717 () (not @t716)) % 15.38/15.85 (define @t718 () (or @t717 @t715)) % 15.38/15.85 (define @t719 () (not @t718)) % 15.38/15.85 (define @t720 () (not @t713)) % 15.38/15.85 (define @t721 () (and @t711 (= @t714 @t681))) % 15.38/15.85 (define @t722 () (or @t712 @t721)) % 15.38/15.85 (define @t723 () (forall @t684 @t722)) % 15.38/15.85 (define @t724 () (not @t723)) % 15.38/15.85 (define @t725 () (or @t724 @t715)) % 15.38/15.85 (define @t726 () (not @t725)) % 15.38/15.85 (define @t727 () (and @t675 (= @t673 @t714))) % 15.38/15.85 (define @t728 () (or @t676 @t727)) % 15.38/15.85 (define @t729 () (= @t714 @t673)) % 15.38/15.85 (define @t730 () (and @t675 @t729)) % 15.38/15.85 (define @t731 () (or @t676 @t730)) % 15.38/15.85 (define @t732 () (forall @t618 (or (not (tptp.r2 @t261 @t616)) @t617 @t615 (not (tptp.r4 @t261 @t261 @t614))))) % 15.38/15.85 (define @t733 () (@quantifiers_skolemize @t732 0)) % 15.38/15.85 (define @t734 () (@list @t733)) % 15.38/15.85 (define @t735 () (@list @t261 @t261)) % 15.38/15.85 (define @t736 () (@quantifiers_skolemize @t732 1)) % 15.38/15.85 (define @t737 () (tptp.r4 @t261 @t736 @t733)) % 15.38/15.85 (define @t738 () (@quantifiers_skolemize @t732 2)) % 15.38/15.85 (define @t739 () (tptp.r4 @t261 @t261 @t738)) % 15.38/15.85 (define @t740 () (not @t739)) % 15.38/15.85 (define @t741 () (tptp.r3 @t738 @t261 @t733)) % 15.38/15.85 (define @t742 () (not @t741)) % 15.38/15.85 (define @t743 () (not @t737)) % 15.38/15.85 (define @t744 () (tptp.r2 @t261 @t736)) % 15.38/15.85 (define @t745 () (not @t744)) % 15.38/15.85 (define @t746 () (or @t745 @t743 @t742 @t740)) % 15.38/15.85 (define @t747 () (@list @t746)) % 15.38/15.85 (define @t748 () (and @t744 (= @t736 @t280))) % 15.38/15.85 (define @t749 () (or @t745 @t748)) % 15.38/15.85 (define @t750 () (= @t280 @t736)) % 15.38/15.85 (define @t751 () (and @t744 @t750)) % 15.38/15.85 (define @t752 () (or @t745 @t751)) % 15.38/15.85 (define @t753 () (tptp.r4 @t261 @t280 @t733)) % 15.38/15.85 (define @t754 () (= @t733 @t714)) % 15.38/15.85 (define @t755 () (and @t753 @t754)) % 15.38/15.85 (define @t756 () (not @t753)) % 15.38/15.85 (define @t757 () (or @t756 @t755)) % 15.38/15.85 (define @t758 () (tptp.r3 @t261 @t261 @t563)) % 15.38/15.85 (define @t759 () (not @t758)) % 15.38/15.85 (define @t760 () (forall @t42 (or (not (forall @t566 (or @t759 (and @t758 @t564)))) (not (tptp.r3 @t261 @t261 @t29))))) % 15.38/15.85 (define @t761 () (@quantifiers_skolemize @t760 0)) % 15.38/15.85 (define @t762 () (not (tptp.r3 @t261 @t261 @t761))) % 15.38/15.85 (define @t763 () (forall @t566 (or @t759 (and @t758 (= @t563 @t761))))) % 15.38/15.85 (define @t764 () (not @t763)) % 15.38/15.85 (define @t765 () (or @t764 @t762)) % 15.38/15.85 (define @t766 () (not @t765)) % 15.38/15.85 (define @t767 () (not @t760)) % 15.38/15.85 (define @t768 () (and @t758 (= @t761 @t563))) % 15.38/15.85 (define @t769 () (or @t759 @t768)) % 15.38/15.85 (define @t770 () (forall @t566 @t769)) % 15.38/15.85 (define @t771 () (not @t770)) % 15.38/15.85 (define @t772 () (or @t771 @t762)) % 15.38/15.85 (define @t773 () (not @t772)) % 15.38/15.85 (define @t774 () (tptp.r3 @t261 @t261 @t733)) % 15.38/15.85 (define @t775 () (and @t774 (= @t733 @t761))) % 15.38/15.85 (define @t776 () (not @t774)) % 15.38/15.85 (define @t777 () (or @t776 @t775)) % 15.38/15.85 (define @t778 () (= @t761 @t733)) % 15.38/15.85 (define @t779 () (and @t774 @t778)) % 15.38/15.85 (define @t780 () (or @t776 @t779)) % 15.38/15.85 (define @t781 () (tptp.r4 @t261 @t261 @t681)) % 15.38/15.85 (define @t782 () (not @t781)) % 15.38/15.85 (define @t783 () (forall @t58 (or (not (forall @t684 (or @t782 (and @t781 @t682)))) (not (tptp.r4 @t261 @t261 @t45))))) % 15.38/15.85 (define @t784 () (@quantifiers_skolemize @t783 0)) % 15.38/15.85 (define @t785 () (not (tptp.r4 @t261 @t261 @t784))) % 15.38/15.85 (define @t786 () (forall @t684 (or @t782 (and @t781 (= @t681 @t784))))) % 15.38/15.85 (define @t787 () (not @t786)) % 15.38/15.85 (define @t788 () (or @t787 @t785)) % 15.38/15.85 (define @t789 () (not @t788)) % 15.38/15.85 (define @t790 () (not @t783)) % 15.38/15.85 (define @t791 () (and @t781 (= @t784 @t681))) % 15.38/15.85 (define @t792 () (or @t782 @t791)) % 15.38/15.85 (define @t793 () (forall @t684 @t792)) % 15.38/15.85 (define @t794 () (not @t793)) % 15.38/15.85 (define @t795 () (or @t794 @t785)) % 15.38/15.85 (define @t796 () (not @t795)) % 15.38/15.85 (define @t797 () (and @t739 (= @t738 @t784))) % 15.38/15.85 (define @t798 () (or @t740 @t797)) % 15.38/15.85 (define @t799 () (= @t784 @t738)) % 15.38/15.85 (define @t800 () (and @t739 @t799)) % 15.38/15.85 (define @t801 () (or @t740 @t800)) % 15.38/15.85 (define @t802 () (forall @t618 (or (not (tptp.r2 @t211 @t616)) @t617 @t615 (not (tptp.r4 @t261 @t211 @t614))))) % 15.38/15.85 (define @t803 () (@quantifiers_skolemize @t802 0)) % 15.38/15.85 (define @t804 () (@list @t803)) % 15.38/15.85 (define @t805 () (@list @t261 @t211)) % 15.38/15.85 (define @t806 () (@quantifiers_skolemize @t802 1)) % 15.38/15.85 (define @t807 () (tptp.r4 @t261 @t806 @t803)) % 15.38/15.85 (define @t808 () (@quantifiers_skolemize @t802 2)) % 15.38/15.85 (define @t809 () (tptp.r4 @t261 @t211 @t808)) % 15.38/15.85 (define @t810 () (not @t809)) % 15.38/15.85 (define @t811 () (tptp.r3 @t808 @t261 @t803)) % 15.38/15.85 (define @t812 () (not @t811)) % 15.38/15.85 (define @t813 () (not @t807)) % 15.38/15.85 (define @t814 () (tptp.r2 @t211 @t806)) % 15.38/15.85 (define @t815 () (not @t814)) % 15.38/15.85 (define @t816 () (or @t815 @t813 @t812 @t810)) % 15.38/15.85 (define @t817 () (@list @t816)) % 15.38/15.85 (define @t818 () (and @t814 (= @t806 @t261))) % 15.38/15.85 (define @t819 () (or @t815 @t818)) % 15.38/15.85 (define @t820 () (= @t261 @t806)) % 15.38/15.85 (define @t821 () (and @t814 @t820)) % 15.38/15.85 (define @t822 () (or @t815 @t821)) % 15.38/15.85 (define @t823 () (@list @t264)) % 15.38/15.85 (define @t824 () (tptp.r4 @t261 @t261 @t803)) % 15.38/15.85 (define @t825 () (= @t803 @t784)) % 15.38/15.85 (define @t826 () (and @t824 @t825)) % 15.38/15.85 (define @t827 () (not @t824)) % 15.38/15.85 (define @t828 () (or @t827 @t826)) % 15.38/15.85 (define @t829 () (tptp.r3 @t211 @t261 @t563)) % 15.38/15.85 (define @t830 () (not @t829)) % 15.38/15.85 (define @t831 () (forall @t42 (or (not (forall @t566 (or @t830 (and @t829 @t564)))) (not (tptp.r3 @t211 @t261 @t29))))) % 15.38/15.85 (define @t832 () (@quantifiers_skolemize @t831 0)) % 15.38/15.85 (define @t833 () (not (tptp.r3 @t211 @t261 @t832))) % 15.38/15.85 (define @t834 () (forall @t566 (or @t830 (and @t829 (= @t563 @t832))))) % 15.38/15.85 (define @t835 () (not @t834)) % 15.38/15.85 (define @t836 () (or @t835 @t833)) % 15.38/15.85 (define @t837 () (not @t836)) % 15.38/15.85 (define @t838 () (not @t831)) % 15.38/15.85 (define @t839 () (and @t829 (= @t832 @t563))) % 15.38/15.85 (define @t840 () (or @t830 @t839)) % 15.38/15.85 (define @t841 () (forall @t566 @t840)) % 15.38/15.85 (define @t842 () (not @t841)) % 15.38/15.85 (define @t843 () (or @t842 @t833)) % 15.38/15.85 (define @t844 () (not @t843)) % 15.38/15.85 (define @t845 () (tptp.r3 @t211 @t261 @t803)) % 15.38/15.85 (define @t846 () (and @t845 (= @t803 @t832))) % 15.38/15.85 (define @t847 () (not @t845)) % 15.38/15.85 (define @t848 () (or @t847 @t846)) % 15.38/15.85 (define @t849 () (= @t832 @t803)) % 15.38/15.85 (define @t850 () (and @t845 @t849)) % 15.38/15.85 (define @t851 () (or @t847 @t850)) % 15.38/15.85 (define @t852 () (tptp.r4 @t261 @t211 @t681)) % 15.38/15.85 (define @t853 () (not @t852)) % 15.38/15.85 (define @t854 () (forall @t58 (or (not (forall @t684 (or @t853 (and @t852 @t682)))) (not (tptp.r4 @t261 @t211 @t45))))) % 15.38/15.85 (define @t855 () (@quantifiers_skolemize @t854 0)) % 15.38/15.85 (define @t856 () (not (tptp.r4 @t261 @t211 @t855))) % 15.38/15.85 (define @t857 () (forall @t684 (or @t853 (and @t852 (= @t681 @t855))))) % 15.38/15.85 (define @t858 () (not @t857)) % 15.38/15.85 (define @t859 () (or @t858 @t856)) % 15.38/15.85 (define @t860 () (not @t859)) % 15.38/15.85 (define @t861 () (not @t854)) % 15.38/15.85 (define @t862 () (and @t852 (= @t855 @t681))) % 15.38/15.85 (define @t863 () (or @t853 @t862)) % 15.38/15.85 (define @t864 () (forall @t684 @t863)) % 15.38/15.85 (define @t865 () (not @t864)) % 15.38/15.85 (define @t866 () (or @t865 @t856)) % 15.38/15.85 (define @t867 () (not @t866)) % 15.38/15.85 (define @t868 () (and @t809 (= @t808 @t855))) % 15.38/15.85 (define @t869 () (or @t810 @t868)) % 15.38/15.85 (define @t870 () (= @t855 @t808)) % 15.38/15.85 (define @t871 () (and @t809 @t870)) % 15.38/15.85 (define @t872 () (or @t810 @t871)) % 15.38/15.85 (define @t873 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 15.38/15.85 (define @t874 () (not (tptp.r1 @t873))) % 15.38/15.85 (define @t875 () (@list @t127 @t873)) % 15.38/15.85 (define @t876 () (forall @t875 (or @t476 @t874 (not (tptp.r4 @t261 @t873 @t127))))) % 15.38/15.85 (define @t877 () (@quantifiers_skolemize @t876 0)) % 15.38/15.85 (define @t878 () (@list @t877)) % 15.38/15.85 (define @t879 () (not (tptp.r4 @t134 @t873 @t127))) % 15.38/15.85 (define @t880 () (or @t874 @t879)) % 15.38/15.85 (define @t881 () (or @t880 @t476)) % 15.38/15.85 (define @t882 () (forall @t875 @t881)) % 15.38/15.85 (define @t883 () (@list @t873)) % 15.38/15.85 (define @t884 () (forall @t883 @t881)) % 15.38/15.85 (define @t885 () (forall @t883 @t880)) % 15.38/15.85 (define @t886 () (or @t885 @t476)) % 15.38/15.85 (define @t887 () (forall @t138 (or (not @t136) (not @t135)))) % 15.38/15.85 (define @t888 () (not @t887)) % 15.38/15.85 (define @t889 () (and @t888 @t162)) % 15.38/15.85 (define @t890 () (forall @t141 (not @t889))) % 15.38/15.85 (define @t891 () (not @t890)) % 15.38/15.85 (define @t892 () (not (= @t127 @t127))) % 15.38/15.85 (define @t893 () (or @t476 @t892)) % 15.38/15.85 (define @t894 () (not @t128)) % 15.38/15.85 (define @t895 () (not @t129)) % 15.38/15.85 (define @t896 () (or @t894 @t895 @t894)) % 15.38/15.85 (define @t897 () (or @t895 @t894)) % 15.38/15.85 (define @t898 () (forall @t131 (not @t130))) % 15.38/15.85 (define @t899 () (not @t898)) % 15.38/15.85 (define @t900 () (forall @t138 (not @t137))) % 15.38/15.85 (define @t901 () (not @t900)) % 15.38/15.85 (define @t902 () (@quantifiers_skolemize @t876 1)) % 15.38/15.85 (define @t903 () (tptp.r4 @t261 @t902 @t877)) % 15.38/15.85 (define @t904 () (not @t903)) % 15.38/15.85 (define @t905 () (tptp.r1 @t902)) % 15.38/15.85 (define @t906 () (not @t905)) % 15.38/15.85 (define @t907 () (tptp.r1 @t877)) % 15.38/15.85 (define @t908 () (not @t907)) % 15.38/15.85 (define @t909 () (or @t908 @t906 @t904)) % 15.38/15.85 (define @t910 () (@list @t909)) % 15.38/15.85 (define @t911 () (and @t905 (= @t902 @t211))) % 15.38/15.85 (define @t912 () (or @t906 @t911)) % 15.38/15.85 (define @t913 () (= @t211 @t902)) % 15.38/15.85 (define @t914 () (and @t905 @t913)) % 15.38/15.85 (define @t915 () (or @t906 @t914)) % 15.38/15.85 (define @t916 () (@list @t214)) % 15.38/15.85 (define @t917 () (tptp.r4 @t261 @t211 @t877)) % 15.38/15.85 (define @t918 () (= @t877 @t855)) % 15.38/15.85 (define @t919 () (and @t917 @t918)) % 15.38/15.85 (define @t920 () (not @t917)) % 15.38/15.85 (define @t921 () (or @t920 @t919)) % 15.38/15.85 (define @t922 () (and @t907 (= @t877 @t211))) % 15.38/15.85 (define @t923 () (or @t908 @t922)) % 15.38/15.85 (define @t924 () (= @t211 @t877)) % 15.38/15.85 (define @t925 () (and @t907 @t924)) % 15.38/15.85 (define @t926 () (or @t908 @t925)) % 15.38/15.85 (define @t927 () (not (tptp.r2 @t211 @t486))) % 15.38/15.85 (define @t928 () (forall @t488 (or @t927 (not (tptp.r3 @t211 @t486 @t65)) @t485 (not (tptp.r3 @t211 @t211 @t484))))) % 15.38/15.85 (define @t929 () (@quantifiers_skolemize @t928 0)) % 15.38/15.85 (define @t930 () (@list @t929)) % 15.38/15.85 (define @t931 () (@list @t211 @t211)) % 15.38/15.85 (define @t932 () (@quantifiers_skolemize @t928 1)) % 15.38/15.85 (define @t933 () (tptp.r3 @t211 @t932 @t929)) % 15.38/15.85 (define @t934 () (@quantifiers_skolemize @t928 2)) % 15.38/15.85 (define @t935 () (tptp.r3 @t211 @t211 @t934)) % 15.38/15.85 (define @t936 () (not @t935)) % 15.38/15.85 (define @t937 () (tptp.r2 @t934 @t929)) % 15.38/15.85 (define @t938 () (not @t937)) % 15.38/15.85 (define @t939 () (not @t933)) % 15.38/15.85 (define @t940 () (tptp.r2 @t211 @t932)) % 15.38/15.85 (define @t941 () (not @t940)) % 15.38/15.85 (define @t942 () (or @t941 @t939 @t938 @t936)) % 15.38/15.85 (define @t943 () (@list @t942)) % 15.38/15.85 (define @t944 () (and @t940 (= @t932 @t261))) % 15.38/15.85 (define @t945 () (or @t941 @t944)) % 15.38/15.85 (define @t946 () (= @t261 @t932)) % 15.38/15.85 (define @t947 () (and @t940 @t946)) % 15.38/15.85 (define @t948 () (or @t941 @t947)) % 15.38/15.85 (define @t949 () (tptp.r3 @t211 @t261 @t929)) % 15.38/15.85 (define @t950 () (= @t929 @t832)) % 15.38/15.85 (define @t951 () (and @t949 @t950)) % 15.38/15.85 (define @t952 () (not @t949)) % 15.38/15.85 (define @t953 () (or @t952 @t951)) % 15.38/15.85 (define @t954 () (tptp.r2 @t211 @t929)) % 15.38/15.85 (define @t955 () (and @t954 (= @t929 @t261))) % 15.38/15.85 (define @t956 () (not @t954)) % 15.38/15.85 (define @t957 () (or @t956 @t955)) % 15.38/15.85 (define @t958 () (= @t261 @t929)) % 15.38/15.85 (define @t959 () (and @t954 @t958)) % 15.38/15.85 (define @t960 () (or @t956 @t959)) % 15.38/15.85 (define @t961 () (tptp.r3 @t211 @t211 @t563)) % 15.38/15.85 (define @t962 () (not @t961)) % 15.38/15.85 (define @t963 () (forall @t42 (or (not (forall @t566 (or @t962 (and @t961 @t564)))) (not (tptp.r3 @t211 @t211 @t29))))) % 15.38/15.85 (define @t964 () (@quantifiers_skolemize @t963 0)) % 15.38/15.85 (define @t965 () (not (tptp.r3 @t211 @t211 @t964))) % 15.38/15.85 (define @t966 () (forall @t566 (or @t962 (and @t961 (= @t563 @t964))))) % 15.38/15.85 (define @t967 () (not @t966)) % 15.38/15.85 (define @t968 () (or @t967 @t965)) % 15.38/15.85 (define @t969 () (not @t968)) % 15.38/15.85 (define @t970 () (not @t963)) % 15.38/15.85 (define @t971 () (and @t961 (= @t964 @t563))) % 15.38/15.85 (define @t972 () (or @t962 @t971)) % 15.38/15.85 (define @t973 () (forall @t566 @t972)) % 15.38/15.85 (define @t974 () (not @t973)) % 15.38/15.85 (define @t975 () (or @t974 @t965)) % 15.38/15.85 (define @t976 () (not @t975)) % 15.38/15.85 (define @t977 () (and @t935 (= @t934 @t964))) % 15.38/15.85 (define @t978 () (or @t936 @t977)) % 15.38/15.85 (define @t979 () (= @t964 @t934)) % 15.38/15.85 (define @t980 () (and @t935 @t979)) % 15.38/15.85 (define @t981 () (or @t936 @t980)) % 15.38/15.85 (define @t982 () (@var "BOUND_VARIABLE_8031" $$unsorted)) % 15.38/15.85 (define @t983 () (not (tptp.r3 @t113 @t982 @t113))) % 15.38/15.85 (define @t984 () (not (tptp.r1 @t982))) % 15.38/15.85 (define @t985 () (not (= @t113 @t113))) % 15.38/15.85 (define @t986 () (or @t985 @t984 @t983)) % 15.38/15.85 (define @t987 () (@list @t982)) % 15.38/15.85 (define @t988 () (not (tptp.r3 @t113 @t982 @t114))) % 15.38/15.85 (define @t989 () (= @t113 @t114)) % 15.38/15.85 (define @t990 () (not @t989)) % 15.38/15.85 (define @t991 () (or @t990 @t990 @t984 @t988)) % 15.38/15.85 (define @t992 () (or @t990 @t984 @t988)) % 15.38/15.85 (define @t993 () (forall @t123 @t992)) % 15.38/15.85 (define @t994 () (forall @t987 @t993)) % 15.38/15.85 (define @t995 () (forall (@list @t982 @t114) @t992)) % 15.38/15.85 (define @t996 () (@list @t114 @t982)) % 15.38/15.85 (define @t997 () (or @t984 @t988)) % 15.38/15.85 (define @t998 () (or @t997 @t990)) % 15.38/15.85 (define @t999 () (forall @t996 @t998)) % 15.38/15.85 (define @t1000 () (forall @t987 @t998)) % 15.38/15.85 (define @t1001 () (forall @t987 @t997)) % 15.38/15.85 (define @t1002 () (or @t1001 @t990)) % 15.38/15.85 (define @t1003 () (forall @t120 (or (not @t118) (not @t117)))) % 15.38/15.85 (define @t1004 () (not @t1003)) % 15.38/15.85 (define @t1005 () (and @t1004 @t989)) % 15.38/15.85 (define @t1006 () (forall @t123 (not @t1005))) % 15.38/15.85 (define @t1007 () (not @t1006)) % 15.38/15.85 (define @t1008 () (forall @t120 (not @t119))) % 15.38/15.85 (define @t1009 () (not @t1008)) % 15.38/15.85 (define @t1010 () (@quantifiers_skolemize (forall @t987 (or @t984 (not (tptp.r3 @t211 @t982 @t211)))) 0)) % 15.38/15.85 (define @t1011 () (tptp.r3 @t211 @t1010 @t211)) % 15.38/15.85 (define @t1012 () (not @t1011)) % 15.38/15.85 (define @t1013 () (tptp.r1 @t1010)) % 15.38/15.85 (define @t1014 () (not @t1013)) % 15.38/15.85 (define @t1015 () (or @t1014 @t1012)) % 15.38/15.85 (define @t1016 () (@list @t1015)) % 15.38/15.85 (define @t1017 () (and @t1013 (= @t1010 @t211))) % 15.38/15.85 (define @t1018 () (or @t1014 @t1017)) % 15.38/15.85 (define @t1019 () (= @t211 @t1010)) % 15.38/15.85 (define @t1020 () (and @t1013 @t1019)) % 15.38/15.85 (define @t1021 () (or @t1014 @t1020)) % 15.38/15.85 (define @t1022 () (tptp.r3 @t211 @t211 @t211)) % 15.38/15.85 (define @t1023 () (= @t211 @t964)) % 15.38/15.85 (define @t1024 () (and @t1022 @t1023)) % 15.38/15.85 (define @t1025 () (not @t1022)) % 15.38/15.85 (define @t1026 () (or @t1025 @t1024)) % 15.38/15.85 (define @t1027 () (forall @t488 (or @t927 (not (tptp.r3 @t261 @t486 @t65)) @t485 (not (tptp.r3 @t261 @t211 @t484))))) % 15.38/15.85 (define @t1028 () (@quantifiers_skolemize @t1027 0)) % 15.38/15.85 (define @t1029 () (@list @t1028)) % 15.38/15.85 (define @t1030 () (@quantifiers_skolemize @t1027 1)) % 15.38/15.85 (define @t1031 () (tptp.r3 @t261 @t1030 @t1028)) % 15.38/15.85 (define @t1032 () (@quantifiers_skolemize @t1027 2)) % 15.38/15.85 (define @t1033 () (tptp.r3 @t261 @t211 @t1032)) % 15.38/15.85 (define @t1034 () (not @t1033)) % 15.38/15.85 (define @t1035 () (tptp.r2 @t1032 @t1028)) % 15.38/15.85 (define @t1036 () (not @t1035)) % 15.38/15.85 (define @t1037 () (not @t1031)) % 15.38/15.85 (define @t1038 () (tptp.r2 @t211 @t1030)) % 15.38/15.85 (define @t1039 () (not @t1038)) % 15.38/15.85 (define @t1040 () (or @t1039 @t1037 @t1036 @t1034)) % 15.38/15.85 (define @t1041 () (@list @t1040)) % 15.38/15.85 (define @t1042 () (and @t1038 (= @t1030 @t261))) % 15.38/15.85 (define @t1043 () (or @t1039 @t1042)) % 15.38/15.85 (define @t1044 () (= @t261 @t1030)) % 15.38/15.85 (define @t1045 () (and @t1038 @t1044)) % 15.38/15.85 (define @t1046 () (or @t1039 @t1045)) % 15.38/15.85 (define @t1047 () (tptp.r3 @t261 @t261 @t1028)) % 15.38/15.85 (define @t1048 () (= @t1028 @t761)) % 15.38/15.85 (define @t1049 () (and @t1047 @t1048)) % 15.38/15.85 (define @t1050 () (not @t1047)) % 15.38/15.85 (define @t1051 () (or @t1050 @t1049)) % 15.38/15.85 (define @t1052 () (tptp.r2 @t261 @t1028)) % 15.38/15.85 (define @t1053 () (and @t1052 (= @t1028 @t280))) % 15.38/15.85 (define @t1054 () (not @t1052)) % 15.38/15.85 (define @t1055 () (or @t1054 @t1053)) % 15.38/15.85 (define @t1056 () (= @t280 @t1028)) % 15.38/15.85 (define @t1057 () (and @t1052 @t1056)) % 15.38/15.85 (define @t1058 () (or @t1054 @t1057)) % 15.38/15.85 (define @t1059 () (tptp.r3 @t261 @t211 @t563)) % 15.38/15.85 (define @t1060 () (not @t1059)) % 15.38/15.85 (define @t1061 () (forall @t42 (or (not (forall @t566 (or @t1060 (and @t1059 @t564)))) (not (tptp.r3 @t261 @t211 @t29))))) % 15.38/15.85 (define @t1062 () (@quantifiers_skolemize @t1061 0)) % 15.38/15.85 (define @t1063 () (not (tptp.r3 @t261 @t211 @t1062))) % 15.38/15.85 (define @t1064 () (forall @t566 (or @t1060 (and @t1059 (= @t563 @t1062))))) % 15.38/15.85 (define @t1065 () (not @t1064)) % 15.38/15.85 (define @t1066 () (or @t1065 @t1063)) % 15.38/15.85 (define @t1067 () (not @t1066)) % 15.38/15.85 (define @t1068 () (not @t1061)) % 15.38/15.85 (define @t1069 () (and @t1059 (= @t1062 @t563))) % 15.38/15.85 (define @t1070 () (or @t1060 @t1069)) % 15.38/15.85 (define @t1071 () (forall @t566 @t1070)) % 15.38/15.85 (define @t1072 () (not @t1071)) % 15.38/15.85 (define @t1073 () (or @t1072 @t1063)) % 15.38/15.85 (define @t1074 () (not @t1073)) % 15.38/15.85 (define @t1075 () (and @t1033 (= @t1032 @t1062))) % 15.38/15.85 (define @t1076 () (or @t1034 @t1075)) % 15.38/15.85 (define @t1077 () (= @t1062 @t1032)) % 15.38/15.85 (define @t1078 () (and @t1033 @t1077)) % 15.38/15.85 (define @t1079 () (or @t1034 @t1078)) % 15.38/15.85 (define @t1080 () (@quantifiers_skolemize (forall @t987 (or @t984 (not (tptp.r3 @t261 @t982 @t261)))) 0)) % 15.38/15.85 (define @t1081 () (tptp.r3 @t261 @t1080 @t261)) % 15.38/15.85 (define @t1082 () (not @t1081)) % 15.38/15.85 (define @t1083 () (tptp.r1 @t1080)) % 15.38/15.85 (define @t1084 () (not @t1083)) % 15.38/15.85 (define @t1085 () (or @t1084 @t1082)) % 15.38/15.85 (define @t1086 () (@list @t1085)) % 15.38/15.85 (define @t1087 () (and @t1083 (= @t1080 @t211))) % 15.38/15.85 (define @t1088 () (or @t1084 @t1087)) % 15.38/15.85 (define @t1089 () (= @t211 @t1080)) % 15.38/15.85 (define @t1090 () (and @t1083 @t1089)) % 15.38/15.85 (define @t1091 () (or @t1084 @t1090)) % 15.38/15.85 (define @t1092 () (tptp.r3 @t261 @t211 @t261)) % 15.38/15.85 (define @t1093 () (= @t261 @t1062)) % 15.38/15.85 (define @t1094 () (and @t1092 @t1093)) % 15.38/15.85 (define @t1095 () (not @t1092)) % 15.38/15.85 (define @t1096 () (or @t1095 @t1094)) % 15.38/15.85 (define @t1097 () (tptp.r3 @t280 @t261 @t620)) % 15.38/15.85 (define @t1098 () (= @t620 @t596)) % 15.38/15.85 (define @t1099 () (and @t1097 @t1098)) % 15.38/15.85 (define @t1100 () (not @t1097)) % 15.38/15.85 (define @t1101 () (or @t1100 @t1099)) % 15.38/15.85 (define @t1102 () (forall @t488 (or @t927 @t487 @t485 (not (tptp.r3 @t280 @t211 @t484))))) % 15.38/15.85 (define @t1103 () (@quantifiers_skolemize @t1102 0)) % 15.38/15.85 (define @t1104 () (@list @t1103)) % 15.38/15.85 (define @t1105 () (@list @t280 @t211)) % 15.38/15.85 (define @t1106 () (@quantifiers_skolemize @t1102 1)) % 15.38/15.85 (define @t1107 () (tptp.r3 @t280 @t1106 @t1103)) % 15.38/15.85 (define @t1108 () (@quantifiers_skolemize @t1102 2)) % 15.38/15.85 (define @t1109 () (tptp.r3 @t280 @t211 @t1108)) % 15.38/15.85 (define @t1110 () (not @t1109)) % 15.38/15.85 (define @t1111 () (tptp.r2 @t1108 @t1103)) % 15.38/15.85 (define @t1112 () (not @t1111)) % 15.38/15.85 (define @t1113 () (not @t1107)) % 15.38/15.85 (define @t1114 () (tptp.r2 @t211 @t1106)) % 15.38/15.85 (define @t1115 () (not @t1114)) % 15.38/15.85 (define @t1116 () (or @t1115 @t1113 @t1112 @t1110)) % 15.38/15.85 (define @t1117 () (@list @t1116)) % 15.38/15.85 (define @t1118 () (and @t1114 (= @t1106 @t261))) % 15.38/15.85 (define @t1119 () (or @t1115 @t1118)) % 15.38/15.85 (define @t1120 () (= @t261 @t1106)) % 15.38/15.85 (define @t1121 () (and @t1114 @t1120)) % 15.38/15.85 (define @t1122 () (or @t1115 @t1121)) % 15.38/15.85 (define @t1123 () (tptp.r3 @t280 @t261 @t1103)) % 15.38/15.85 (define @t1124 () (= @t1103 @t596)) % 15.38/15.85 (define @t1125 () (and @t1123 @t1124)) % 15.38/15.85 (define @t1126 () (not @t1123)) % 15.38/15.85 (define @t1127 () (or @t1126 @t1125)) % 15.38/15.85 (define @t1128 () (tptp.r2 @t280 @t1103)) % 15.38/15.85 (define @t1129 () (and @t1128 (= @t1103 @t299))) % 15.38/15.85 (define @t1130 () (not @t1128)) % 15.38/15.85 (define @t1131 () (or @t1130 @t1129)) % 15.38/15.85 (define @t1132 () (= @t299 @t1103)) % 15.38/15.85 (define @t1133 () (and @t1128 @t1132)) % 15.38/15.85 (define @t1134 () (or @t1130 @t1133)) % 15.38/15.85 (define @t1135 () (tptp.r3 @t280 @t211 @t563)) % 15.38/15.85 (define @t1136 () (not @t1135)) % 15.38/15.85 (define @t1137 () (forall @t42 (or (not (forall @t566 (or @t1136 (and @t1135 @t564)))) (not (tptp.r3 @t280 @t211 @t29))))) % 15.38/15.85 (define @t1138 () (@quantifiers_skolemize @t1137 0)) % 15.38/15.85 (define @t1139 () (not (tptp.r3 @t280 @t211 @t1138))) % 15.38/15.85 (define @t1140 () (forall @t566 (or @t1136 (and @t1135 (= @t563 @t1138))))) % 15.38/15.85 (define @t1141 () (not @t1140)) % 15.38/15.85 (define @t1142 () (or @t1141 @t1139)) % 15.38/15.85 (define @t1143 () (not @t1142)) % 15.38/15.85 (define @t1144 () (not @t1137)) % 15.38/15.85 (define @t1145 () (and @t1135 (= @t1138 @t563))) % 15.38/15.85 (define @t1146 () (or @t1136 @t1145)) % 15.38/15.85 (define @t1147 () (forall @t566 @t1146)) % 15.38/15.85 (define @t1148 () (not @t1147)) % 15.38/15.85 (define @t1149 () (or @t1148 @t1139)) % 15.38/15.85 (define @t1150 () (not @t1149)) % 15.38/15.85 (define @t1151 () (and @t1109 (= @t1108 @t1138))) % 15.38/15.85 (define @t1152 () (or @t1110 @t1151)) % 15.38/15.85 (define @t1153 () (= @t1138 @t1108)) % 15.38/15.85 (define @t1154 () (and @t1109 @t1153)) % 15.38/15.85 (define @t1155 () (or @t1110 @t1154)) % 15.38/15.85 (define @t1156 () (@quantifiers_skolemize (forall @t987 (or @t984 (not (tptp.r3 @t280 @t982 @t280)))) 0)) % 15.38/15.85 (define @t1157 () (tptp.r3 @t280 @t1156 @t280)) % 15.38/15.85 (define @t1158 () (not @t1157)) % 15.38/15.85 (define @t1159 () (tptp.r1 @t1156)) % 15.38/15.85 (define @t1160 () (not @t1159)) % 15.38/15.85 (define @t1161 () (or @t1160 @t1158)) % 15.38/15.85 (define @t1162 () (@list @t1161)) % 15.38/15.85 (define @t1163 () (and @t1159 (= @t1156 @t211))) % 15.38/15.85 (define @t1164 () (or @t1160 @t1163)) % 15.38/15.85 (define @t1165 () (= @t211 @t1156)) % 15.38/15.85 (define @t1166 () (and @t1159 @t1165)) % 15.38/15.85 (define @t1167 () (or @t1160 @t1166)) % 15.38/15.85 (define @t1168 () (tptp.r3 @t280 @t211 @t280)) % 15.38/15.85 (define @t1169 () (= @t280 @t1138)) % 15.38/15.85 (define @t1170 () (and @t1168 @t1169)) % 15.38/15.85 (define @t1171 () (not @t1168)) % 15.38/15.85 (define @t1172 () (or @t1171 @t1170)) % 15.38/15.85 (define @t1173 () (tptp.r2 @t299 @t490)) % 15.38/15.85 (define @t1174 () (not @t562)) % 15.38/15.85 (define @t1175 () (not @t1173)) % 15.38/15.85 (define @t1176 () (or @t1175 @t301 @t282 @t213 @t263 @t1174 @t282 @t213 @t263)) % 15.38/15.85 (assume @p1 @t13) % 15.38/15.85 (assume @p2 @t28) % 15.38/15.85 (assume @p3 @t44) % 15.38/15.85 (assume @p4 @t60) % 15.38/15.85 (assume @p5 @t84) % 15.38/15.85 (assume @p6 @t108) % 15.38/15.85 (assume @p7 (forall (@list @t110 @t109) (or (forall (@list @t111) (or (forall (@list @t112) (or (not (tptp.r2 @t110 @t112)) (not (= @t112 @t111)))) (not (tptp.r2 @t109 @t111)))) (= @t110 @t109)))) % 15.38/15.85 (assume @p8 @t125) % 15.38/15.85 (assume @p9 @t143) % 15.38/15.85 (assume @p10 (forall (@list @t145) (or (exists (@list @t147) (and (tptp.r1 @t147) (= @t145 @t147))) (exists (@list @t146 @t144) (and (tptp.r2 @t146 @t144) (= @t145 @t144)))))) % 15.38/15.85 (assume @p11 (forall (@list @t149 @t148) (or (forall (@list @t150) (or (not (tptp.r1 @t150)) (not (= @t150 @t148)))) (not (tptp.r2 @t149 @t148))))) % 15.38/15.85 (assume @p12 @t179) % 15.38/15.85 (assume @p13 true) % 15.38/15.85 (step @p14 :rule bool-and-de-morgan :args (@t184 @t185 true)) % 15.38/15.85 (step @p15 :rule cong :premises (@p14) :args (@t187)) % 15.38/15.85 (step @p16 :rule cong :premises (@p15) :args (@t188)) % 15.38/15.85 (step @p17 :rule exists-elim :args ((= (exists @t12 @t186) @t188))) % 15.38/15.85 (step @p18 :rule trans :premises (@p17 @p16)) % 15.38/15.85 (step @p19 :rule aci_norm :args ((= (or false @t185) @t185))) % 15.38/15.85 (step @p20 :rule aci_norm :args ((= (and @t185 true) @t185))) % 15.38/15.85 (step @p21 :rule eq-refl :args (@t1)) % 15.38/15.85 (step @p22 :rule refl :args (@t185)) % 15.38/15.85 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t190)) % 15.38/15.85 (step @p24 :rule trans :premises (@p23 @p20)) % 15.38/15.85 (step @p25 :rule evaluate :args ((not true))) % 15.38/15.85 (step @p26 :rule cong :premises (@p21) :args (@t191)) % 15.38/15.85 (step @p27 :rule trans :premises (@p26 @p25)) % 15.38/15.85 (step @p28 :rule nary_cong :premises (@p27 @p24) :args (@t192)) % 15.38/15.85 (step @p29 :rule trans :premises (@p28 @p19)) % 15.38/15.85 (step @p30 :rule quant-var-elim-eq :args ((= (forall @t197 (or (not (= @t193 @t1)) @t196 @t195)) @t192))) % 15.38/15.85 (step @p31 :rule refl :args (@t195)) % 15.38/15.85 (step @p32 :rule refl :args (@t196)) % 15.38/15.85 (step @p33 :rule eq-symm :args (@t1 @t193)) % 15.38/15.85 (step @p34 :rule cong :premises (@p33) :args (@t196)) % 15.38/15.85 (step @p35 :rule nary_cong :premises (@p34 @p32 @p31) :args (@t198)) % 15.38/15.85 (step @p36 :rule aci_norm :args ((= @t199 @t198))) % 15.38/15.85 (step @p37 :rule trans :premises (@p36 @p35)) % 15.38/15.85 (step @p38 :rule cong :premises (@p37) :args (@t200)) % 15.38/15.85 (step @p39 :rule trans :premises (@p38 @p30)) % 15.38/15.85 (step @p40 :rule trans :premises (@p39 @p29)) % 15.38/15.85 (step @p41 :rule refl :args (@t184)) % 15.38/15.85 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((and @t184 @t200))) % 15.38/15.85 (step @p43 :rule alpha_equiv :args (@t205 @t206 (@list @t193))) % 15.38/15.85 (step @p44 :rule alpha_equiv :args (@t208 @t206 (@list @t180))) % 15.38/15.85 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t209)) % 15.38/15.85 (step @p46 :rule quant-miniscope-and :args ((= (forall @t10 (and @t207 @t204)) @t209))) % 15.38/15.85 (step @p47 :rule trans :premises (@p46 @p45)) % 15.38/15.85 (step @p48 :rule trans :premises (@p47 @p42)) % 15.38/15.85 (step @p49 :rule bool-or-and-distrib :args (@t7 @t203 true @t202 false)) % 15.38/15.85 (step @p50 :rule cong :premises (@p49) :args ((forall @t10 (or (and @t7 @t203) @t202)))) % 15.38/15.85 (step @p51 :rule trans :premises (@p50 @p48)) % 15.38/15.85 (step @p52 :rule eq-symm :args (@t2 @t1)) % 15.38/15.85 (step @p53 :rule refl :args (@t4)) % 15.38/15.85 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t5)) % 15.38/15.85 (step @p55 :rule cong :premises (@p52) :args (@t6)) % 15.38/15.85 (step @p56 :rule refl :args (@t7)) % 15.38/15.85 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t8)) % 15.38/15.85 (step @p58 :rule nary_cong :premises (@p57 @p54) :args (@t9)) % 15.38/15.85 (step @p59 :rule cong :premises (@p58) :args (@t11)) % 15.38/15.85 (step @p60 :rule trans :premises (@p59 @p51)) % 15.38/15.85 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 15.38/15.85 (step @p62 :rule trans :premises (@p61 @p18)) % 15.38/15.85 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 15.38/15.85 (step @p64 :rule refl :args (@t217)) % 15.38/15.85 (step @p65 :rule bool-double-not-elim :args (@t210)) % 15.38/15.85 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t218) @t217))) % 15.38/15.85 (step @p67 :rule refl :args (@t213)) % 15.38/15.85 (step @p68 :rule eq-symm :args (@t211 @t180)) % 15.38/15.85 (step @p69 :rule refl :args (@t181)) % 15.38/15.85 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t219)) % 15.38/15.85 (step @p71 :rule refl :args (@t182)) % 15.38/15.85 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t220)) % 15.38/15.85 (step @p73 :rule cong :premises (@p72) :args (@t221)) % 15.38/15.85 (step @p74 :rule cong :premises (@p73) :args (@t222)) % 15.38/15.85 (step @p75 :rule nary_cong :premises (@p74 @p67) :args (@t223)) % 15.38/15.85 (step @p76 :rule cong :premises (@p75) :args (@t224)) % 15.38/15.85 (step @p77 :rule refl :args (@t218)) % 15.38/15.85 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t218 @t224))) % 15.38/15.85 (assume-push @p2000 @t218) % 15.38/15.85 (step @p80 :rule skolemize :premises (@p63)) % 15.38/15.85 (step-pop @p2001 :rule scope :premises (@p80)) % 15.38/15.85 (step @p81 :rule process_scope :premises (@p2001) :args (@t224)) % 15.38/15.85 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 15.38/15.85 (step @p84 :rule implies_elim :premises (@p83)) % 15.38/15.85 (step @p85 :rule eq_resolve :premises (@p84 @p66)) % 15.38/15.85 (step @p86 :rule chain_m_resolution :premises (@p85 @p63) :args (@t217 @t225 (@list @t210))) % 15.38/15.85 (step @p87 :rule bool-double-not-elim :args (@t212)) % 15.38/15.85 (step @p88 :rule refl :args (@t216)) % 15.38/15.85 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t216 (not @t213)))) % 15.38/15.85 (step @p90 :rule cnf_or_neg :args (@t216 1)) % 15.38/15.85 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 15.38/15.85 (step @p92 :rule reordering :premises (@p91) :args ((or @t212 @t216))) % 15.38/15.85 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t212 @t225 @t226)) % 15.38/15.85 (step @p94 :rule bool-and-de-morgan :args (@t231 @t232 true)) % 15.38/15.85 (step @p95 :rule cong :premises (@p94) :args (@t234)) % 15.38/15.85 (step @p96 :rule cong :premises (@p95) :args (@t235)) % 15.38/15.85 (step @p97 :rule exists-elim :args ((= (exists @t26 @t233) @t235))) % 15.38/15.85 (step @p98 :rule trans :premises (@p97 @p96)) % 15.38/15.85 (step @p99 :rule aci_norm :args ((= (or false @t232) @t232))) % 15.38/15.85 (step @p100 :rule aci_norm :args ((= (and @t232 true) @t232))) % 15.38/15.85 (step @p101 :rule eq-refl :args (@t14)) % 15.38/15.85 (step @p102 :rule refl :args (@t232)) % 15.38/15.85 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t237)) % 15.38/15.85 (step @p104 :rule trans :premises (@p103 @p100)) % 15.38/15.85 (step @p105 :rule cong :premises (@p101) :args (@t238)) % 15.38/15.85 (step @p106 :rule trans :premises (@p105 @p25)) % 15.38/15.85 (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t239)) % 15.38/15.85 (step @p108 :rule trans :premises (@p107 @p99)) % 15.38/15.85 (step @p109 :rule quant-var-elim-eq :args ((= (forall @t244 (or (not (= @t240 @t14)) @t243 @t242)) @t239))) % 15.38/15.85 (step @p110 :rule refl :args (@t242)) % 15.38/15.85 (step @p111 :rule refl :args (@t243)) % 15.38/15.85 (step @p112 :rule eq-symm :args (@t14 @t240)) % 15.38/15.85 (step @p113 :rule cong :premises (@p112) :args (@t243)) % 15.38/15.85 (step @p114 :rule nary_cong :premises (@p113 @p111 @p110) :args (@t245)) % 15.38/15.85 (step @p115 :rule aci_norm :args ((= @t246 @t245))) % 15.38/15.85 (step @p116 :rule trans :premises (@p115 @p114)) % 15.38/15.85 (step @p117 :rule cong :premises (@p116) :args (@t247)) % 15.38/15.85 (step @p118 :rule trans :premises (@p117 @p109)) % 15.38/15.85 (step @p119 :rule trans :premises (@p118 @p108)) % 15.38/15.85 (step @p120 :rule refl :args (@t231)) % 15.38/15.85 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((and @t231 @t247))) % 15.38/15.85 (step @p122 :rule alpha_equiv :args (@t252 @t253 (@list @t240))) % 15.38/15.85 (step @p123 :rule alpha_equiv :args (@t255 @t253 (@list @t227))) % 15.38/15.85 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t256)) % 15.38/15.85 (step @p125 :rule quant-miniscope-and :args ((= (forall @t24 (and @t254 @t251)) @t256))) % 15.38/15.85 (step @p126 :rule trans :premises (@p125 @p124)) % 15.38/15.85 (step @p127 :rule trans :premises (@p126 @p121)) % 15.38/15.85 (step @p128 :rule bool-or-and-distrib :args (@t21 @t250 true @t249 false)) % 15.38/15.85 (step @p129 :rule cong :premises (@p128) :args ((forall @t24 (or (and @t21 @t250) @t249)))) % 15.38/15.85 (step @p130 :rule trans :premises (@p129 @p127)) % 15.38/15.85 (step @p131 :rule eq-symm :args (@t15 @t14)) % 15.38/15.85 (step @p132 :rule refl :args (@t18)) % 15.38/15.85 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t19)) % 15.38/15.85 (step @p134 :rule cong :premises (@p131) :args (@t20)) % 15.38/15.85 (step @p135 :rule refl :args (@t21)) % 15.38/15.85 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t22)) % 15.38/15.85 (step @p137 :rule nary_cong :premises (@p136 @p133) :args (@t23)) % 15.38/15.85 (step @p138 :rule cong :premises (@p137) :args (@t25)) % 15.38/15.85 (step @p139 :rule trans :premises (@p138 @p130)) % 15.38/15.85 (step @p140 :rule cong :premises (@p139) :args (@t27)) % 15.38/15.85 (step @p141 :rule trans :premises (@p140 @p98)) % 15.38/15.85 (step @p142 :rule cong :premises (@p141) :args (@t28)) % 15.38/15.85 (step @p143 :rule eq_resolve :premises (@p2 @p142)) % 15.38/15.85 (step @p144 :rule instantiate :premises (@p143) :args (@t257)) % 15.38/15.85 (step @p145 :rule refl :args (@t267)) % 15.38/15.85 (step @p146 :rule bool-double-not-elim :args (@t260)) % 15.38/15.85 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t268) @t267))) % 15.38/15.85 (step @p148 :rule refl :args (@t263)) % 15.38/15.85 (step @p149 :rule eq-symm :args (@t261 @t227)) % 15.38/15.85 (step @p150 :rule refl :args (@t258)) % 15.38/15.85 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t269)) % 15.38/15.85 (step @p152 :rule refl :args (@t259)) % 15.38/15.85 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t270)) % 15.38/15.85 (step @p154 :rule cong :premises (@p153) :args (@t271)) % 15.38/15.85 (step @p155 :rule cong :premises (@p154) :args (@t272)) % 15.38/15.85 (step @p156 :rule nary_cong :premises (@p155 @p148) :args (@t273)) % 15.38/15.85 (step @p157 :rule cong :premises (@p156) :args (@t274)) % 15.38/15.85 (step @p158 :rule refl :args (@t268)) % 15.38/15.85 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t268 @t274))) % 15.38/15.85 (assume-push @p2002 @t268) % 15.38/15.85 (step @p161 :rule skolemize :premises (@p144)) % 15.38/15.85 (step-pop @p2003 :rule scope :premises (@p161)) % 15.38/15.85 (step @p162 :rule process_scope :premises (@p2003) :args (@t274)) % 15.38/15.85 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 15.38/15.85 (step @p165 :rule implies_elim :premises (@p164)) % 15.38/15.85 (step @p166 :rule eq_resolve :premises (@p165 @p147)) % 15.38/15.85 (step @p167 :rule chain_m_resolution :premises (@p166 @p144) :args (@t267 @t225 (@list @t260))) % 15.38/15.85 (step @p168 :rule bool-double-not-elim :args (@t262)) % 15.38/15.85 (step @p169 :rule refl :args (@t266)) % 15.38/15.85 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t266 (not @t263)))) % 15.38/15.85 (step @p171 :rule cnf_or_neg :args (@t266 1)) % 15.38/15.85 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 15.38/15.85 (step @p173 :rule reordering :premises (@p172) :args ((or @t262 @t266))) % 15.38/15.85 (step @p174 :rule chain_m_resolution :premises (@p173 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@p1877 :rule chain_m_resolution :premises (@p1876 @p1808) :args (@t1111 @t225 @t1117)) % 15.38/15.86 (step @p1878 :rule true_intro :premises (@p1877)) % 15.38/15.86 (step @p1879 :rule instantiate :premises (@p641) :args (@t1105)) % 15.38/15.86 (step @p1880 :rule refl :args (@t1143)) % 15.38/15.86 (step @p1881 :rule bool-double-not-elim :args (@t1137)) % 15.38/15.86 (step @p1882 :rule nary_cong :premises (@p1881 @p1880) :args ((or (not @t1144) @t1143))) % 15.38/15.86 (step @p1883 :rule refl :args (@t1139)) % 15.38/15.86 (step @p1884 :rule eq-symm :args (@t1138 @t563)) % 15.38/15.86 (step @p1885 :rule refl :args (@t1135)) % 15.38/15.86 (step @p1886 :rule nary_cong :premises (@p1885 @p1884) :args (@t1145)) % 15.38/15.86 (step @p1887 :rule refl :args (@t1136)) % 15.38/15.86 (step @p1888 :rule nary_cong :premises (@p1887 @p1886) :args (@t1146)) % 15.38/15.86 (step @p1889 :rule cong :premises (@p1888) :args (@t1147)) % 15.38/15.86 (step @p1890 :rule cong :premises (@p1889) :args (@t1148)) % 15.38/15.86 (step @p1891 :rule nary_cong :premises (@p1890 @p1883) :args (@t1149)) % 15.38/15.86 (step @p1892 :rule cong :premises (@p1891) :args (@t1150)) % 15.38/15.86 (step @p1893 :rule refl :args (@t1144)) % 15.38/15.86 (step @p1894 :rule cong :premises (@p1893 @p1892) :args ((=> @t1144 @t1150))) % 15.38/15.86 (assume-push @p2066 @t1144) % 15.38/15.86 (step @p1896 :rule skolemize :premises (@p1879)) % 15.38/15.86 (step-pop @p2067 :rule scope :premises (@p1896)) % 15.38/15.86 (step @p1897 :rule process_scope :premises (@p2067) :args (@t1150)) % 15.38/15.86 (step @p1899 :rule eq_resolve :premises (@p1897 @p1894)) % 15.38/15.86 (step @p1900 :rule implies_elim :premises (@p1899)) % 15.38/15.86 (step @p1901 :rule eq_resolve :premises (@p1900 @p1882)) % 15.38/15.86 (step @p1902 :rule chain_m_resolution :premises (@p1901 @p1879) :args (@t1143 @t225 (@list @t1137))) % 15.38/15.86 (step @p1903 :rule bool-double-not-elim :args (@t1140)) % 15.38/15.86 (step @p1904 :rule refl :args (@t1142)) % 15.38/15.86 (step @p1905 :rule nary_cong :premises (@p1904 @p1903) :args ((or @t1142 (not @t1141)))) % 15.38/15.86 (step @p1906 :rule cnf_or_neg :args (@t1142 0)) % 15.38/15.86 (step @p1907 :rule eq_resolve :premises (@p1906 @p1905)) % 15.38/15.86 (step @p1908 :rule reordering :premises (@p1907) :args ((or @t1140 @t1142))) % 15.38/15.86 (step @p1909 :rule chain_m_resolution :premises (@p1908 @p1902) :args (@t1140 @t225 (@list @t1142))) % 15.38/15.86 (step @p1910 :rule eq-symm :args (@t1108 @t1138)) % 15.38/15.86 (step @p1911 :rule refl :args (@t1109)) % 15.38/15.86 (step @p1912 :rule nary_cong :premises (@p1911 @p1910) :args (@t1151)) % 15.38/15.86 (step @p1913 :rule refl :args (@t1110)) % 15.38/15.86 (step @p1914 :rule nary_cong :premises (@p1913 @p1912) :args (@t1152)) % 15.38/15.86 (step @p1915 :rule refl :args (@t1140)) % 15.38/15.86 (step @p1916 :rule cong :premises (@p1915 @p1914) :args ((=> @t1140 @t1152))) % 15.38/15.86 (assume-push @p2068 @t1140) % 15.38/15.86 (step @p1918 :rule instantiate :premises (@p1909) :args ((@list @t1108))) % 15.38/15.86 (step-pop @p2069 :rule scope :premises (@p1918)) % 15.38/15.86 (step @p1919 :rule process_scope :premises (@p2069) :args (@t1152)) % 15.38/15.86 (step @p1921 :rule eq_resolve :premises (@p1919 @p1916)) % 15.38/15.86 (step @p1922 :rule implies_elim :premises (@p1921)) % 15.38/15.86 (step @p1923 :rule chain_m_resolution :premises (@p1922 @p1909) :args (@t1155 @t559 (@list @t1140))) % 15.38/15.86 (step @p1924 :rule bool-double-not-elim :args (@t1109)) % 15.38/15.86 (step @p1925 :rule nary_cong :premises (@p1810 @p1924) :args ((or @t1116 (not @t1110)))) % 15.38/15.86 (step @p1926 :rule cnf_or_neg :args (@t1116 3)) % 15.38/15.86 (step @p1927 :rule eq_resolve :premises (@p1926 @p1925)) % 15.38/15.86 (step @p1928 :rule reordering :premises (@p1927) :args ((or @t1109 @t1116))) % 15.38/15.86 (step @p1929 :rule chain_m_resolution :premises (@p1928 @p1808) :args (@t1109 @t225 @t1117)) % 15.38/15.86 (step @p1930 :rule cnf_or_pos :args (@t1155)) % 15.38/15.86 (step @p1931 :rule reordering :premises (@p1930) :args ((or @t1110 @t1154 (not @t1155)))) % 15.38/15.86 (step @p1932 :rule chain_m_resolution :premises (@p1931 @p1929 @p1923) :args (@t1154 @t561 (@list @t1109 @t1155))) % 15.38/15.86 (step @p1933 :rule cnf_and_pos :args (@t1154 1)) % 15.38/15.86 (step @p1934 :rule reordering :premises (@p1933) :args ((or @t1153 (not @t1154)))) % 15.38/15.86 (step @p1935 :rule chain_m_resolution :premises (@p1934 @p1932) :args (@t1153 @t559 (@list @t1154))) % 15.38/15.86 (step @p1936 :rule instantiate :premises (@p1909) :args (@t295)) % 15.38/15.86 (step @p1937 :rule instantiate :premises (@p1551) :args (@t295)) % 15.38/15.86 (step @p1938 :rule skolemize :premises (@p1937)) % 15.38/15.86 (step @p1939 :rule bool-double-not-elim :args (@t1157)) % 15.38/15.86 (step @p1940 :rule refl :args (@t1161)) % 15.38/15.86 (step @p1941 :rule nary_cong :premises (@p1940 @p1939) :args ((or @t1161 (not @t1158)))) % 15.38/15.86 (step @p1942 :rule cnf_or_neg :args (@t1161 1)) % 15.38/15.86 (step @p1943 :rule eq_resolve :premises (@p1942 @p1941)) % 15.38/15.86 (step @p1944 :rule reordering :premises (@p1943) :args ((or @t1157 @t1161))) % 15.38/15.86 (step @p1945 :rule chain_m_resolution :premises (@p1944 @p1938) :args (@t1157 @t225 @t1162)) % 15.38/15.86 (step @p1946 :rule true_intro :premises (@p1945)) % 15.38/15.86 (step @p1947 :rule eq-symm :args (@t1156 @t211)) % 15.38/15.86 (step @p1948 :rule refl :args (@t1159)) % 15.38/15.86 (step @p1949 :rule nary_cong :premises (@p1948 @p1947) :args (@t1163)) % 15.38/15.86 (step @p1950 :rule refl :args (@t1160)) % 15.38/15.86 (step @p1951 :rule nary_cong :premises (@p1950 @p1949) :args (@t1164)) % 15.38/15.86 (step @p1952 :rule cong :premises (@p1304 @p1951) :args ((=> @t214 @t1164))) % 15.38/15.86 (assume-push @p2070 @t214) % 15.38/15.86 (step @p1954 :rule instantiate :premises (@p1298) :args ((@list @t1156))) % 15.38/15.86 (step-pop @p2071 :rule scope :premises (@p1954)) % 15.38/15.86 (step @p1955 :rule process_scope :premises (@p2071) :args (@t1164)) % 15.38/15.86 (step @p1957 :rule eq_resolve :premises (@p1955 @p1952)) % 15.38/15.86 (step @p1958 :rule implies_elim :premises (@p1957)) % 15.38/15.86 (step @p1959 :rule chain_m_resolution :premises (@p1958 @p1298) :args (@t1167 @t559 @t916)) % 15.38/15.86 (step @p1960 :rule bool-double-not-elim :args (@t1159)) % 15.38/15.86 (step @p1961 :rule nary_cong :premises (@p1940 @p1960) :args ((or @t1161 (not @t1160)))) % 15.38/15.86 (step @p1962 :rule cnf_or_neg :args (@t1161 0)) % 15.38/15.86 (step @p1963 :rule eq_resolve :premises (@p1962 @p1961)) % 15.38/15.86 (step @p1964 :rule reordering :premises (@p1963) :args ((or @t1159 @t1161))) % 15.38/15.86 (step @p1965 :rule chain_m_resolution :premises (@p1964 @p1938) :args (@t1159 @t225 @t1162)) % 15.38/15.86 (step @p1966 :rule cnf_or_pos :args (@t1167)) % 15.38/15.86 (step @p1967 :rule reordering :premises (@p1966) :args ((or @t1160 @t1166 (not @t1167)))) % 15.38/15.86 (step @p1968 :rule chain_m_resolution :premises (@p1967 @p1965 @p1959) :args (@t1166 @t561 (@list @t1159 @t1167))) % 15.38/15.86 (step @p1969 :rule cnf_and_pos :args (@t1166 1)) % 15.38/15.86 (step @p1970 :rule reordering :premises (@p1969) :args ((or @t1165 (not @t1166)))) % 15.38/15.86 (step @p1971 :rule chain_m_resolution :premises (@p1970 @p1968) :args (@t1165 @t559 (@list @t1166))) % 15.38/15.86 (step @p1972 :rule cong :premises (@p581 @p1971 @p581) :args (@t1168)) % 15.38/15.86 (step @p1973 :rule trans :premises (@p1972 @p1946)) % 15.38/15.86 (step @p1974 :rule true_elim :premises (@p1973)) % 15.38/15.86 (step @p1975 :rule cnf_or_pos :args (@t1172)) % 15.38/15.86 (step @p1976 :rule reordering :premises (@p1975) :args ((or @t1171 @t1170 (not @t1172)))) % 15.38/15.86 (step @p1977 :rule chain_m_resolution :premises (@p1976 @p1974 @p1936) :args (@t1170 @t561 (@list @t1168 @t1172))) % 15.38/15.86 (step @p1978 :rule cnf_and_pos :args (@t1170 1)) % 15.38/15.86 (step @p1979 :rule reordering :premises (@p1978) :args ((or @t1169 (not @t1170)))) % 15.38/15.86 (step @p1980 :rule chain_m_resolution :premises (@p1979 @p1977) :args (@t1169 @t559 (@list @t1170))) % 15.38/15.86 (step @p1981 :rule trans :premises (@p1980 @p1935)) % 15.38/15.86 (step @p1982 :rule cong :premises (@p1981 @p1817) :args (@t1128)) % 15.38/15.86 (step @p1983 :rule trans :premises (@p1982 @p1878)) % 15.38/15.86 (step @p1984 :rule true_elim :premises (@p1983)) % 15.38/15.86 (step @p1985 :rule cnf_or_pos :args (@t1134)) % 15.38/15.86 (step @p1986 :rule reordering :premises (@p1985) :args ((or @t1130 @t1133 (not @t1134)))) % 15.38/15.86 (step @p1987 :rule chain_m_resolution :premises (@p1986 @p1984 @p1871) :args (@t1133 @t561 (@list @t1128 @t1134))) % 15.38/15.86 (step @p1988 :rule cnf_and_pos :args (@t1133 1)) % 15.38/15.86 (step @p1989 :rule reordering :premises (@p1988) :args ((or @t1132 (not @t1133)))) % 15.38/15.86 (step @p1990 :rule chain_m_resolution :premises (@p1989 @p1987) :args (@t1132 @t559 (@list @t1133))) % 15.38/15.86 (step @p1991 :rule trans :premises (@p1990 @p1851 @p1805)) % 15.38/15.86 (step @p1992 :rule trans :premises (@p1991 @p1804)) % 15.38/15.86 (step @p1993 :rule cong :premises (@p1992 @p548) :args (@t1173)) % 15.38/15.86 (step @p1994 :rule trans :premises (@p1993 @p591)) % 15.38/15.86 (step @p1995 :rule true_elim :premises (@p1994)) % 15.38/15.86 (step @p1996 :rule cnf_or_pos :args (@t1176)) % 15.38/15.86 (step @p1997 :rule factoring :premises (@p1996)) % 15.38/15.86 (step @p1998 :rule reordering :premises (@p1997) :args ((or @t213 @t263 @t282 @t301 @t1175 @t1174 (not @t1176)))) % 15.38/15.86 (step @p1999 false :rule chain_m_resolution :premises (@p1998 @p1995 @p584 @p449 @p236 @p205 @p174 @p93) :args (false (@list false false false false false false false) (@list @t1173 @t562 @t1176 @t300 @t281 @t262 @t212))) % 15.38/15.86 ) % 15.38/15.86 % SZS output end Proof % 15.38/15.86 % cvc5 exiting %------------------------------------------------------------------------------